%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 : Mon Sep 7 12:13:10 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.40s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lg_4ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(cnf,[status(esa)],[prove_lg_4]) ).
cnf(l0,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
inference(cnf,[status(esa)],[lg_3]) ).
cnf(l2,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))
| ~ is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l4,plain,
is_a_theorem(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))
| is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l6,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l7,plain,
( ~ is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))
| ~ 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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l8,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))
| is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l9,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l10,plain,
( ~ 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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))))
| ~ 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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))))
| 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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l11,plain,
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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l12,plain,
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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l15,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))
| ~ 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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l23,plain,
( ~ is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))))
| 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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l25,plain,
is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l22,plain,
( ~ is_a_theorem(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))
| ~ is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))))
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l27,plain,
is_a_theorem(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
is_a_theorem(equivalent(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l26,plain,
is_a_theorem(equivalent(equivalent(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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),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(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e)),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(equivalent(a,b),equivalent(a,falsehood)),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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(equivalent(a,b),equivalent(a,falsehood)),e),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(a,b),equivalent(a,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)))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13,l15,l14,l23,l25,l22,l27,l24,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 4 22:17:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % launching worker at depth: 1
% 0.11/0.37 % launching worker at depth: 4
% 0.11/0.37 % launching worker at depth: 2
% 0.11/0.37 % launching worker at depth: 3
% 0.11/0.37 % launching worker at depth: 5
% 0.11/0.37 % launching worker at depth: 7
% 0.11/0.37 % launching worker at depth: 6
% 0.11/0.37 % launching worker at depth: 8
% 0.11/0.38 % launching worker at depth: 9
% 0.11/0.38 % launching worker at depth: 10
% 0.11/0.38 % launching worker at depth: 11
% 0.11/0.38 % launching worker at depth: 12
% 0.11/0.40 % SZS status Theorem for theBenchmark
% 0.11/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------