SATCoP---0.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n031.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:03:10 PM UTC 2026

% Result   : Unsatisfiable 33.47s 4.68s
% Output   : Proof 33.47s
% 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/sandbox2/benchmark/theBenchmark.p',prove_q_3)]) ).

cnf(g1,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,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/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(a,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(a,c),equivalent(equivalent(equivalent(b,c),equivalent(b,a)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(a,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(a,c),equivalent(equivalent(equivalent(b,c),equivalent(b,a)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))))
    | is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g3,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(a,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(a,c),equivalent(equivalent(equivalent(b,c),equivalent(b,a)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g4,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(a,c)),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(a,c),equivalent(equivalent(equivalent(b,c),equivalent(b,a)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g5,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g6,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g7,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g8,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),eq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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),eq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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g10,plain,
    ( ~ 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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g11,plain,
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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g12,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c),equivalent(equivalent(equivalent(equivalent(b,c),c),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equival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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g13,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equiva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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g14,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equiva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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g15,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(e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    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(e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    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g16,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(e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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g17,plain,
    ( ~ 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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g19,plain,
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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g20,plain,
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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g21,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(equivalent(b,a),c)),equivalent(equivalent(b,c),c)),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c))))),equivalent(equivalent(equivalent(equivalent(b,a),c),equivalent(a,b)),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,b),equivalent(equivalent(b,a),c)),c))))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,a),equivalent(b,c)),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(b,c),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(a,c),equivalent(equivalent(b,a),equivalent(b,c))),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(a,c),equivalent(a,b)),equivalent(equivalent(a,c),equivalent(equivalent(b,a),c)))),equivalent(equivalent(equivalent(b,a),equival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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g22,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g23,plain,
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),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g24,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g25,plain,
    ( ~ 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),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g26,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g27,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL108-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03  % Command  : satcop --statistics %s
% 0.10/0.36  % Computer : n031.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sat Sep  5 16:12:10 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 33.47/4.68  % symbols: 7
% 33.47/4.68  % clauses: 3
% 33.47/4.68  % start clauses: 1
% 33.47/4.68  % iterative deepening steps: 4720
% 33.47/4.68  % maximum path limit: 9
% 33.47/4.68  % literal attempts: 223828
% 33.47/4.68  % depth failures: 35597
% 33.47/4.68  % regularity failures: 0
% 33.47/4.68  % tautology failures: 3
% 33.47/4.68  % reductions: 0
% 33.47/4.68  % extensions: 219110
% 33.47/4.68  % SAT variables: 179729
% 33.47/4.68  % SAT clauses: 179981
% 33.47/4.68  % WalkSAT solutions: 179977
% 33.47/4.68  % CDCL solutions: 0
% 33.47/4.68  % SZS status Unsatisfiable for theBenchmark
% 33.47/4.68  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------