hopCoP---0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL104-1 : 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 : n018.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 190.47s 24.40s
% Output   : CNFRefutation 191.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_p_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(cnf,[status(esa)],[prove_p_1]) ).

cnf(l0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(instantiation,[status(thm)],[3]) ).

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(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l3,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l5,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(2,plain,
    is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
    inference(cnf,[status(esa)],[q_3]) ).

cnf(l21,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l35,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l34,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l48,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(1,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
    inference(cnf,[status(esa)],[p_4]) ).

cnf(l20,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l37,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l4,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l51,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l53,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l49,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l7,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l54,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l50,plain,
    ( ~ 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    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equival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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l58,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l59,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l55,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l36,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l56,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l57,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l44,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l52,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l6,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l45,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l17,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l16,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l2,l21,l35,l34,l48,l20,l37,l4,l51,l53,l49,l7,l54,l50,l58,l59,l55,l36,l56,l57,l44,l52,l6,l14,l15,l45,l17,l16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL104-1 : 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
% 0.09/0.35  % Computer : n018.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep  5 01:49:33 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.36  % launching worker at depth: 1
% 0.09/0.36  % launching worker at depth: 5
% 0.09/0.36  % launching worker at depth: 2
% 0.09/0.36  % launching worker at depth: 3
% 0.09/0.36  % launching worker at depth: 6
% 0.09/0.36  % launching worker at depth: 4
% 0.09/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % launching worker at depth: 9
% 0.13/0.36  % launching worker at depth: 10
% 0.13/0.36  % launching worker at depth: 11
% 0.13/0.38  % launching worker at depth: 12
% 10.71/1.70  % launching worker at depth: 13
% 190.47/24.40  % SZS status Theorem for theBenchmark
% 190.47/24.40  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------