hopCoP---0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n001.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 12:13:11 PM UTC 2026

% Result   : Unsatisfiable 5.61s 1.09s
% Output   : CNFRefutation 5.61s
% 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(2,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)],[2]) ).

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

cnf(l1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(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(l2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(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(e,b),equivalent(equivalent(a,e),c)))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(1,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))),
    inference(cnf,[status(esa)],[lg_27_1690]) ).

cnf(l34,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l3,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(l35,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l4,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(l5,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(l7,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(l36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivale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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(l6,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(l9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(l13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivale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    inference(instantiation,[status(thm)],[1]) ).

cnf(l37,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(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(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,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(equivalent(a,e),c)),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(c,equivalent(a,b)),equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(X5_13,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(X5_13,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),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(l38,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),c)),equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),c)),equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),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(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l47,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),c)),equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l46,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),c)),equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(X5_36,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(X5_36,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),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(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l34,l3,l35,l4,l5,l7,l36,l8,l6,l9,l13,l37,l10,l38,l39,l47,l46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34  % Computer : n001.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Sun Sep  6 01:02:33 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.34  % launching worker at depth: 2
% 0.07/0.34  % launching worker at depth: 7
% 0.07/0.34  % launching worker at depth: 1
% 0.07/0.34  % launching worker at depth: 3
% 0.07/0.34  % launching worker at depth: 5
% 0.07/0.34  % launching worker at depth: 6
% 0.07/0.34  % launching worker at depth: 8
% 0.07/0.34  % launching worker at depth: 4
% 0.07/0.34  % launching worker at depth: 9
% 0.07/0.34  % launching worker at depth: 10
% 0.07/0.35  % launching worker at depth: 11
% 0.11/0.36  % launching worker at depth: 12
% 0.11/0.44  % launching worker at depth: 13
% 5.61/1.09  % SZS status Theorem for theBenchmark
% 5.61/1.09  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------