ConnectPP---0.7.2.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 08:48:40 AM UTC 2026

% Result   : Unsatisfiable 1.54s 1.84s
% Output   : Proof 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   42 (  32 unt;   0 nHn;  31 RR)
%            Number of literals    :   62 (   0 equ;  22 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   15 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(Y)
    | ~ is_a_theorem(X)
    | ~ is_a_theorem(equivalent(X,Y)) ),
    file('theBenchmark.p',condensed_detachment) ).

cnf(lg_27_1690,axiom,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),equivalent(equivalent(U,V),equivalent(equivalent(equivalent(W,V),equivalent(W,U)),V6))),equivalent(Z,equivalent(equivalent(Y,X),V6)))),
    file('theBenchmark.p',lg_27_1690) ).

cnf(prove_p_1,negated_conjecture,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    file('theBenchmark.p',prove_p_1) ).

cnf(t1,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(start,[status(thm),parent(0:0)],[prove_p_1]) ).

cnf(t2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
    inference(extension,[status(thm),parent(t1:1)],[condensed_detachment]) ).

cnf(t3,plain,
    $false,
    inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).

cnf(t4,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(extension,[status(thm),parent(t2:2)],[condensed_detachment]) ).

cnf(t5,plain,
    $false,
    inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).

cnf(t6,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(extension,[status(thm),parent(t4:2)],[condensed_detachment]) ).

cnf(t7,plain,
    $false,
    inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).

cnf(t8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(extension,[status(thm),parent(t6:2)],[condensed_detachment]) ).

cnf(t9,plain,
    $false,
    inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).

cnf(t10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),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    inference(extension,[status(thm),parent(t8:2)],[lg_27_1690]) ).

cnf(t11,plain,
    $false,
    inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).

cnf(t12,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivale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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))) ),
    inference(extension,[status(thm),parent(t8:3)],[condensed_detachment]) ).

cnf(t13,plain,
    $false,
    inference(connection,[status(thm),parent(t12:1)],[t12:1,t8:3]) ).

cnf(t14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivale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    inference(extension,[status(thm),parent(t12:2)],[lg_27_1690]) ).

cnf(t15,plain,
    $false,
    inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).

cnf(t16,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(extension,[status(thm),parent(t12:3)],[lg_27_1690]) ).

cnf(t17,plain,
    $false,
    inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).

cnf(t18,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(extension,[status(thm),parent(t6:3)],[lg_27_1690]) ).

cnf(t19,plain,
    $false,
    inference(connection,[status(thm),parent(t18:1)],[t18:1,t6:3]) ).

cnf(t20,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(U_213,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(U_213,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(extension,[status(thm),parent(t4:3)],[lg_27_1690]) ).

cnf(t21,plain,
    $false,
    inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:3]) ).

cnf(t22,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ),
    inference(extension,[status(thm),parent(t2:3)],[condensed_detachment]) ).

cnf(t23,plain,
    $false,
    inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:3]) ).

cnf(t24,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))) ),
    inference(extension,[status(thm),parent(t22:2)],[condensed_detachment]) ).

cnf(t25,plain,
    $false,
    inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).

cnf(t26,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))) ),
    inference(extension,[status(thm),parent(t24:2)],[condensed_detachment]) ).

cnf(t27,plain,
    $false,
    inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).

cnf(t28,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(extension,[status(thm),parent(t26:2)],[lg_27_1690]) ).

cnf(t29,plain,
    $false,
    inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).

cnf(t30,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),c)),equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),c)),equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))) ),
    inference(extension,[status(thm),parent(t26:3)],[condensed_detachment]) ).

cnf(t31,plain,
    $false,
    inference(connection,[status(thm),parent(t30:1)],[t30:1,t26:3]) ).

cnf(t32,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),c)),equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(extension,[status(thm),parent(t30:2)],[lg_27_1690]) ).

cnf(t33,plain,
    $false,
    inference(connection,[status(thm),parent(t32:1)],[t32:1,t30:2]) ).

cnf(t34,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),c)),equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(extension,[status(thm),parent(t30:3)],[lg_27_1690]) ).

cnf(t35,plain,
    $false,
    inference(connection,[status(thm),parent(t34:1)],[t34:1,t30:3]) ).

cnf(t36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(extension,[status(thm),parent(t24:3)],[lg_27_1690]) ).

cnf(t37,plain,
    $false,
    inference(connection,[status(thm),parent(t36:1)],[t36:1,t24:3]) ).

cnf(t38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(U_256,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(U_256,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(extension,[status(thm),parent(t22:3)],[lg_27_1690]) ).

cnf(t39,plain,
    $false,
    inference(connection,[status(thm),parent(t38:1)],[t38:1,t22:3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n026.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 19 14:10:20 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 1.54/1.84  % SZS status Unsatisfiable for theBenchmark
% 1.54/1.84  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------