hopCoP---0.1.UNS-CRf.s

%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : LCL097-1 : 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 : n014.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 12:13:09 PM UTC 2026

% Result   : Unsatisfiable 0.09s 0.38s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named prove_lg_4ERROR: Could not build tree for root finalERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    inference(cnf,[status(esa)],[prove_lg_4]) ).

cnf(l0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
    inference(instantiation,[status(thm)],[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(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(2,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
    inference(cnf,[status(esa)],[lg_3]) ).

cnf(l2,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)))),
    inference(instantiation,[status(thm)],[2]) ).

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

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

cnf(l5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l6,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l7,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(l9,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))) ),
    inference(instantiation,[status(thm)],[0]) ).

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

cnf(l11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l15,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),equivalent(equivalent(a,b),c))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,falsehood)),equivalent(equivalent(a,b),c)),equivalent(equivalent(b,falsehood),e))),equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))))))),
    inference(instantiation,[status(thm)],[2]) ).

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

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l15,l13,l12,l14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL097-1 : 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
% 0.09/0.36  % Computer : n014.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Sat Sep  5 18:48:12 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  % launching worker at depth: 2
% 0.09/0.37  % launching worker at depth: 8
% 0.09/0.37  % launching worker at depth: 1
% 0.09/0.37  % launching worker at depth: 4
% 0.09/0.37  % launching worker at depth: 6
% 0.09/0.37  % launching worker at depth: 5
% 0.09/0.37  % launching worker at depth: 7
% 0.09/0.37  % launching worker at depth: 3
% 0.09/0.37  % launching worker at depth: 9
% 0.09/0.37  % launching worker at depth: 10
% 0.09/0.38  % launching worker at depth: 11
% 0.09/0.38  % SZS status Theorem for theBenchmark
% 0.09/0.38  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------