hopCoP---0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL120-1 : 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 : n016.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 12:13:13 PM UTC 2026

% Result   : Unsatisfiable 4.30s 0.95s
% Output   : CNFRefutation 4.30s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_xgjERROR: Could not build tree for root finalERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,plain,
    ~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
    inference(cnf,[status(esa)],[prove_xgj]) ).

cnf(l0,plain,
    ~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(0,plain,
    ( ~ is_a_theorem(X0)
    | ~ is_a_theorem(equivalent(X0,X1))
    | is_a_theorem(X1) ),
    inference(cnf,[status(esa)],[condensed_detachment]) ).

cnf(l1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)),equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))
    | is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))) ),
    inference(instantiation,[status(thm)],[0]) ).

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

cnf(l3,plain,
    is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)),equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),
    inference(instantiation,[status(thm)],[1]) ).

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

cnf(l64,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l65,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l66,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l67,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l68,plain,
    is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a)))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l70,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(eq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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l69,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l71,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l72,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l74,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(eq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    inference(instantiation,[status(thm)],[1]) ).

cnf(l76,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l77,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l73,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l78,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l83,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l75,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l79,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(c,equivalent(c,a)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l80,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l87,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l90,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l86,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l88,plain,
    is_a_theorem(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l94,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l93,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l95,plain,
    is_a_theorem(equivalent(equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l91,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),equivalent(equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)),equivalent(c,equivalent(c,a)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l64,l65,l66,l67,l68,l70,l69,l71,l72,l74,l76,l77,l73,l78,l83,l75,l79,l80,l87,l90,l86,l88,l94,l93,l95,l91]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL120-1 : 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
% 0.07/0.35  % Computer : n016.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Fri Sep  4 20:46:28 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % launching worker at depth: 1
% 0.13/0.36  % launching worker at depth: 7
% 0.13/0.36  % launching worker at depth: 2
% 0.13/0.36  % launching worker at depth: 4
% 0.13/0.36  % launching worker at depth: 5
% 0.13/0.36  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 3
% 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
% 0.13/0.43  % launching worker at depth: 13
% 4.30/0.95  % SZS status Theorem for theBenchmark
% 4.30/0.95  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------