%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL108-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:12:53 EDT 2022

% Result   : Unsatisfiable 21.32s 3.04s
% Output   : Proof 21.32s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_3)]) ).

cnf(g1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))
    | is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))
    | is_a_theorem(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g3,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g4,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g5,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g6,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g7,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g8,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(equivalent(c,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(b,a)),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g10,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(b,a)),equivalent(c,c)),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g12,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),equivalent(b,a)),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(b,a),equivalent(equivalent(equivalent(c,a),equivalent(c,b)),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),equivalent(b,a)),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(b,a),equivalent(equivalent(equivalent(c,a),equivalent(c,b)),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),equivalent(b,a)),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(b,a),equivalent(equivalent(equivalent(c,a),equivalent(c,b)),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,b),equivalent(c,a)),equivalent(b,a)),equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(b,a),equivalent(equivalent(equivalent(c,a),equivalent(c,b)),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(b,a),equivalent(equivalent(c,b),equivalent(c,a))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,b),equivalent(c,a))),equivalent(c,equivalent(b,a))),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g16,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g17,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g18,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g19,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g20,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))
    | ~ 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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g21,plain,
    ( ~ 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    | ~ 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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g22,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g23,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g24,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g25,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g26,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g27,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(b,a),c),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(b,a),c),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g28,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(b,a),c),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g29,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(b,a),c),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g30,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(c,equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,a),c),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g31,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g32,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g33,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g34,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g35,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g37,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g39,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(c,c),equivalent(c,c)))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(c,c),equivalent(c,c)))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g40,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(c,c),equivalent(c,c)))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g41,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))),equivalent(equivalent(c,c),equivalent(c,c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c))))))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(c,equivalent(equivalent(c,c),equivalent(c,c)))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(equivalent(c,equivalent(equivalent(c,c),equivalent(c,c))),equivalent(c,equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))),equivalent(equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))),equivalent(equivalent(c,c),equivalent(equivalent(equivalent(c,c),equivalent(c,c)),equivalent(equivalent(a,b),equivalent(equivalent(equivalent(c,b),equivalent(c,a)),c)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL108-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul  4 07:37:11 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 21.32/3.04  % symbols: 7
% 21.32/3.04  % clauses: 3
% 21.32/3.04  % start clauses: 1
% 21.32/3.04  % iterative deepening steps: 4790
% 21.32/3.04  % maximum path limit: 9
% 21.32/3.04  % literal attempts: 226173
% 21.32/3.04  % depth failures: 36025
% 21.32/3.04  % regularity failures: 0
% 21.32/3.04  % tautology failures: 2
% 21.32/3.04  % reductions: 0
% 21.32/3.04  % extensions: 221386
% 21.32/3.04  % SAT variables: 181413
% 21.32/3.04  % SAT clauses: 181672
% 21.32/3.04  % WalkSAT solutions: 181671
% 21.32/3.04  % CDCL solutions: 0
% 21.32/3.04  % SZS status Unsatisfiable for theBenchmark
% 21.32/3.04  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------