Twee---2.7.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : LCL444-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:49:53 AM UTC 2026

% Result   : Unsatisfiable 145.01s 19.04s
% Output   : Proof 156.09s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL444-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.56  % Computer : n005.cluster.edu
% 0.08/0.56  % Model    : x86_64 x86_64
% 0.08/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.56  % Memory   : 8046.5625MB
% 0.08/0.56  % OS       : Linux 6.8.0-71-generic
% 0.08/0.56  % CPULimit : 300
% 0.08/0.56  % WCLimit  : 300
% 0.08/0.56  % DateTime : Sun Sep 27 15:43:32 UTC 2026
% 0.08/0.56  % CPUTime  : 
% 0.08/0.56  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 145.01/19.04  Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --complete-subsets --ground-joining-incomplete-limit 15 --flatten-every 2
% 145.01/19.04  
% 145.01/19.04  % SZS status Unsatisfiable
% 145.01/19.04  
% 150.57/19.67  % SZS output start Proof
% 150.57/19.67  Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 150.57/19.67  Axiom 2 (cls_Set_OinsertCI_1): c_in(X, c_insert(X, Y, Z), Z) = true.
% 150.57/19.67  Axiom 3 (cls_PropLog_Othms_OH_0): ifeq(c_in(X, Y, tc_PropLog_Opl(Z)), true, c_in(X, c_PropLog_Othms(Y, Z), tc_PropLog_Opl(Z)), true) = true.
% 150.57/19.67  Axiom 4 (cls_Set_OinsertCI_0): ifeq(c_in(X, Y, Z), true, c_in(X, c_insert(W, Y, Z), Z), true) = true.
% 150.57/19.68  Axiom 5 (cls_PropLog_Othms_ODN_0): c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X, c_PropLog_Opl_Ofalse, Y), c_PropLog_Opl_Ofalse, Y), X, Y), c_PropLog_Othms(Z, Y), tc_PropLog_Opl(Y)) = true.
% 150.57/19.68  Axiom 6 (cls_PropLog_Odeduction_0): ifeq(c_in(X, c_PropLog_Othms(c_insert(Y, Z, tc_PropLog_Opl(W)), W), tc_PropLog_Opl(W)), true, c_in(c_PropLog_Opl_Oop_A_N_62(Y, X, W), c_PropLog_Othms(Z, W), tc_PropLog_Opl(W)), true) = true.
% 151.38/19.70  Axiom 7 (cls_PropLog_Othms_OMP_0): ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(X, Y, Z), c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true, ifeq(c_in(X, c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true, c_in(Y, c_PropLog_Othms(W, Z), tc_PropLog_Opl(Z)), true), true) = true.
% 151.38/19.70  
% 151.38/19.70  Goal 1 (cls_conjecture_0): c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)) = true.
% 151.38/19.70  Proof:
% 151.38/19.70    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a))
% 151.38/19.70  = { by axiom 1 (ifeq_axiom) R->L }
% 151.38/19.71    ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true)
% 151.38/19.71  = { by axiom 1 (ifeq_axiom) R->L }
% 151.38/19.71    ifeq(true, true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.71  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 151.38/19.71    ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.71  = { by axiom 1 (ifeq_axiom) R->L }
% 151.38/19.72    ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.72  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 151.38/19.72    ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.73  = { by axiom 1 (ifeq_axiom) R->L }
% 151.38/19.74    ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.74  = { by axiom 7 (cls_PropLog_Othms_OMP_0) R->L }
% 151.38/19.75    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.76  = { by axiom 1 (ifeq_axiom) R->L }
% 151.38/19.76    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.77  = { by axiom 2 (cls_Set_OinsertCI_1) R->L }
% 151.38/19.78    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.79  = { by axiom 3 (cls_PropLog_Othms_OH_0) }
% 151.38/19.79    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 151.38/19.80  = { by axiom 1 (ifeq_axiom) }
% 151.38/19.80    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.81  = { by axiom 1 (ifeq_axiom) R->L }
% 152.16/19.81    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.82  = { by axiom 4 (cls_Set_OinsertCI_0) R->L }
% 152.16/19.82    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.83  = { by axiom 2 (cls_Set_OinsertCI_1) }
% 152.16/19.84    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.84  = { by axiom 1 (ifeq_axiom) }
% 152.16/19.85    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.85  = { by axiom 3 (cls_PropLog_Othms_OH_0) }
% 152.16/19.86    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.87  = { by axiom 1 (ifeq_axiom) }
% 152.16/19.87    ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.88  = { by axiom 1 (ifeq_axiom) R->L }
% 152.16/19.88    ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.88  = { by axiom 3 (cls_PropLog_Othms_OH_0) R->L }
% 152.16/19.89    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.89  = { by axiom 2 (cls_Set_OinsertCI_1) }
% 152.16/19.89    ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.90  = { by axiom 1 (ifeq_axiom) }
% 152.16/19.90    ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.16/19.90  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 152.96/19.90    ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.90  = { by axiom 1 (ifeq_axiom) }
% 152.96/19.91    ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.91  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/19.91    ifeq(ifeq(ifeq(true, true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.91  = { by axiom 5 (cls_PropLog_Othms_ODN_0) R->L }
% 152.96/19.91    ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.92  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 152.96/19.92    ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.92  = { by axiom 1 (ifeq_axiom) }
% 152.96/19.92    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.92  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 152.96/19.92    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.92  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/19.93    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.93  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 152.96/19.93    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.93  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/19.94    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.94  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 152.96/19.94    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.95  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/19.95    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.95  = { by axiom 7 (cls_PropLog_Othms_OMP_0) R->L }
% 152.96/19.96    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.96  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/19.97    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.97  = { by axiom 4 (cls_Set_OinsertCI_0) R->L }
% 152.96/19.98    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/19.99  = { by axiom 2 (cls_Set_OinsertCI_1) }
% 152.96/19.99    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.00  = { by axiom 1 (ifeq_axiom) }
% 152.96/20.00    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.01  = { by axiom 3 (cls_PropLog_Othms_OH_0) }
% 152.96/20.01    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.02  = { by axiom 1 (ifeq_axiom) }
% 152.96/20.02    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.02  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/20.03    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.03  = { by axiom 4 (cls_Set_OinsertCI_0) R->L }
% 152.96/20.04    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.04  = { by axiom 1 (ifeq_axiom) R->L }
% 152.96/20.05    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.05  = { by axiom 2 (cls_Set_OinsertCI_1) R->L }
% 152.96/20.06    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_p, c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 152.96/20.06  = { by axiom 4 (cls_Set_OinsertCI_0) }
% 152.96/20.07    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.07  = { by axiom 1 (ifeq_axiom) }
% 154.22/20.08    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(v_p, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.08  = { by axiom 3 (cls_PropLog_Othms_OH_0) }
% 154.22/20.09    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.09  = { by axiom 1 (ifeq_axiom) }
% 154.22/20.09    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.09  = { by axiom 6 (cls_PropLog_Odeduction_0) }
% 154.22/20.10    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.10  = { by axiom 1 (ifeq_axiom) }
% 154.22/20.10    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.11  = { by axiom 1 (ifeq_axiom) R->L }
% 154.22/20.11    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.11  = { by axiom 3 (cls_PropLog_Othms_OH_0) R->L }
% 154.22/20.12    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.12  = { by axiom 1 (ifeq_axiom) R->L }
% 154.22/20.12    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.13  = { by axiom 2 (cls_Set_OinsertCI_1) R->L }
% 154.22/20.13    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.13  = { by axiom 4 (cls_Set_OinsertCI_0) }
% 154.22/20.14    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.14  = { by axiom 1 (ifeq_axiom) }
% 154.22/20.14    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Ofalse, c_PropLog_Othms(c_insert(v_p, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.14  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 154.22/20.15    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.15  = { by axiom 1 (ifeq_axiom) }
% 154.22/20.15    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.16  = { by axiom 1 (ifeq_axiom) R->L }
% 154.22/20.16    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(true, true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.16  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 154.22/20.16    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 154.22/20.17  = { by axiom 1 (ifeq_axiom) R->L }
% 154.22/20.17    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.08/20.17  = { by axiom 6 (cls_PropLog_Odeduction_0) R->L }
% 155.08/20.18    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.08/20.18  = { by axiom 1 (ifeq_axiom) R->L }
% 155.08/20.19    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.08/20.19  = { by axiom 3 (cls_PropLog_Othms_OH_0) R->L }
% 155.08/20.20    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.20  = { by axiom 1 (ifeq_axiom) R->L }
% 155.27/20.21    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.21  = { by axiom 4 (cls_Set_OinsertCI_0) R->L }
% 155.27/20.22    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.22  = { by axiom 2 (cls_Set_OinsertCI_1) }
% 155.27/20.23    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.23  = { by axiom 1 (ifeq_axiom) }
% 155.27/20.24    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.24  = { by axiom 4 (cls_Set_OinsertCI_0) }
% 155.27/20.25    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.25  = { by axiom 1 (ifeq_axiom) }
% 155.27/20.26    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.26  = { by axiom 1 (ifeq_axiom) R->L }
% 155.27/20.27    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.27  = { by axiom 3 (cls_PropLog_Othms_OH_0) R->L }
% 155.27/20.28    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.28  = { by axiom 2 (cls_Set_OinsertCI_1) }
% 155.27/20.29    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.29  = { by axiom 1 (ifeq_axiom) }
% 155.27/20.30    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(v_q, c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 155.27/20.30  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 156.09/20.30    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.30  = { by axiom 1 (ifeq_axiom) }
% 156.09/20.31    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.31  = { by axiom 6 (cls_PropLog_Odeduction_0) }
% 156.09/20.31    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.31  = { by axiom 1 (ifeq_axiom) }
% 156.09/20.32    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), v_H, tc_PropLog_Opl(t_a)), t_a), tc_PropLog_Opl(t_a)), true), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.32  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 156.09/20.32    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(ifeq(true, true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.32  = { by axiom 1 (ifeq_axiom) }
% 156.09/20.32    ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, ifeq(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Opl_Ofalse, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true, c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, v_q, t_a), c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p, c_PropLog_Opl_Ofalse, t_a), v_q, t_a), v_q, t_a), t_a), c_PropLog_Othms(v_H, t_a), tc_PropLog_Opl(t_a)), true), true)
% 156.09/20.32  = { by axiom 7 (cls_PropLog_Othms_OMP_0) }
% 156.09/20.32    true
% 156.09/20.32  % SZS output end Proof
% 156.09/20.32  
% 156.09/20.32  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------