hopCoP---0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL101-1 : 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 : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 12:13:10 PM UTC 2026

% Result   : Unsatisfiable 36.13s 4.96s
% Output   : CNFRefutation 36.13s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_p_1ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)

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

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

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

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

cnf(l3,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,b),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(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(1,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
    inference(cnf,[status(esa)],[lg_2]) ).

cnf(l5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,b),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(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l4,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

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

cnf(l9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l66,plain,
    ( ~ 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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(2,plain,
    is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(X2,X3)),X0))),
    inference(cnf,[status(esa)],[p_4]) ).

cnf(l98,plain,
    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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l17,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l99,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

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

cnf(l27,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l68,plain,
    is_a_theorem(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l16,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l100,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l20,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l109,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l21,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_21,X2_21),equivalent(X1_21,X3_21)),equivalent(X2_21,X3_21)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l22,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l23,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l108,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l24,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l112,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l101,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l103,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l26,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l113,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),equivalent(equivalent(equivalent(equivalent(X0_109,X1_109),equivalent(X0_109,X2_109)),equivalent(X1_109,X2_109)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))),
    inference(instantiation,[status(thm)],[1]) ).

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

cnf(l25,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X0_23,X1_23),equivalent(X0_23,X2_23)),equivalent(X1_23,X2_23)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(X1_27,X2_27),equivalent(X1_27,X3_27)),equivalent(X2_27,X3_27)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(l102,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(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(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(a,b),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l75,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l86,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l88,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

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

cnf(l90,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l76,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l89,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(X0_86,X1_86),equivalent(X0_86,X2_86)),equivalent(X1_86,X2_86)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l72,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(e,b)),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,l3,l5,l4,l6,l2,l9,l8,l7,l66,l98,l17,l99,l67,l27,l68,l16,l100,l20,l109,l21,l22,l23,l108,l24,l112,l101,l103,l26,l113,l70,l25,l102,l75,l86,l88,l71,l90,l76,l89,l72]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL101-1 : 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
% 0.07/0.35  % Computer : n026.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Fri Sep  4 15:31:40 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  % launching worker at depth: 1
% 0.07/0.35  % launching worker at depth: 6
% 0.07/0.35  % launching worker at depth: 8
% 0.07/0.35  % launching worker at depth: 4
% 0.07/0.35  % launching worker at depth: 5
% 0.07/0.35  % launching worker at depth: 7
% 0.07/0.35  % launching worker at depth: 3
% 0.07/0.35  % launching worker at depth: 2
% 0.07/0.35  % launching worker at depth: 9
% 0.07/0.36  % launching worker at depth: 10
% 0.13/0.36  % launching worker at depth: 11
% 0.13/0.38  % launching worker at depth: 12
% 1.10/0.50  % launching worker at depth: 13
% 36.13/4.96  % SZS status Theorem for theBenchmark
% 36.13/4.96  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------