Twee---2.7.UNS-Ass.s

%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n013.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 11:49:01 AM UTC 2026

% Result   : Unsatisfiable 11.72s 1.99s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n013.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sun Sep 27 15:21:06 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.72/1.99  Command-line arguments: --no-flatten-goal
% 11.72/1.99  
% 11.72/1.99  % SZS status Unsatisfiable
% 11.72/1.99  
% 293.54/45.80  % SZS output start Proof
% 293.54/45.80  Axiom 1 (ifeq_axiom): ifeq(X, X, Y, Z) = Y.
% 293.54/45.80  Axiom 2 (condensed_detachment): ifeq(is_a_theorem(equivalent(X, Y)), true, ifeq(is_a_theorem(X), true, is_a_theorem(Y), true), true) = true.
% 298.36/46.64  Axiom 3 (lg_3): is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X, Y), equivalent(X, Z)), W), equivalent(equivalent(Y, Z), W)), V), V)) = true.
% 298.36/46.64  
% 298.36/46.64  Goal 1 (prove_lg_4): is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))) = true.
% 298.36/46.64  Proof:
% 298.36/46.64    is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))
% 298.36/46.64  = { by axiom 1 (ifeq_axiom) R->L }
% 298.36/46.64    ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.36/46.64  = { by axiom 2 (condensed_detachment) R->L }
% 298.36/46.64    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.36/46.64  = { by axiom 3 (lg_3) }
% 298.36/46.64    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true, ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.36/46.65  = { by axiom 1 (ifeq_axiom) }
% 298.36/46.65    ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.36/46.67  = { by axiom 1 (ifeq_axiom) R->L }
% 298.36/46.67    ifeq(ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.94/46.71  = { by axiom 2 (condensed_detachment) R->L }
% 298.94/46.72    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.94/46.74  = { by axiom 1 (ifeq_axiom) R->L }
% 298.94/46.75    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 298.94/46.76  = { by axiom 2 (condensed_detachment) R->L }
% 299.61/46.80    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))))), true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 299.61/46.81  = { by axiom 3 (lg_3) }
% 299.61/46.83    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(ifeq(true, true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 299.61/46.84  = { by axiom 1 (ifeq_axiom) }
% 299.61/46.85    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 299.61/46.86  = { by axiom 3 (lg_3) }
% 299.61/46.87    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(ifeq(true, true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 299.61/46.88  = { by axiom 1 (ifeq_axiom) }
% 299.61/46.89    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
% 299.61/46.90  = { by axiom 1 (ifeq_axiom) R->L }
% 300.19/46.90    ifeq(ifeq(ifeq(ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, ifeq(ifeq(true, true, ifeq(is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))))), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))))), true), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), equivalent(equivalent(a, b), c))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a, b), equivalent(a, falsehood)), equivalent(equivalent(a, b), c)), equivalent(equivalent(b, falsehood), e)), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))), equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e))))), true), true, is_a_theorem(equivalent(equivalent(equivalent(equivalent(a, b), c), e), equivalent(equivalent(equivalent(a, falsehood), c), equivalent(equivalent(b, falsehood), e)))), true)
%------------------------------------------------------------------------------