↑ Up

SATCoP---0.1.UNS-Prf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz 
%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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 0.11s 0.40s
% Output   : Proof 0.11s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1)]) ).

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

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

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

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

cnf(g5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equi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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

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

cnf(g7,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

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

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

cnf(g10,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(c,equivalent(a,b)),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(c,equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(c,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

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

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

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

cnf(g15,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

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

cnf(g17,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),c)),equivalent(c,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g18,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(a,e),c),equivalent(equivalent(a,e),equivalent(a,b))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),c)),equivalent(c,equivalent(equivalent(a,e),equivalent(a,b)))),equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

cnf(g19,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c)))),equivalent(equivalent(b,e),equivalent(equivalent(equivalent(a,e),equivalent(a,b)),equivalent(equivalent(a,e),c)))),equivalent(equivalent(equivalent(c,equivalent(equivalent(a,e),equivalent(a,b))),equivalent(c,equivalent(equivalent(a,e),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_27_1690)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : satcop --statistics %s
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep  6 00:56:46 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.40  % symbols: 8
% 0.11/0.40  % clauses: 3
% 0.11/0.40  % start clauses: 1
% 0.11/0.40  % iterative deepening steps: 382
% 0.11/0.40  % maximum path limit: 6
% 0.11/0.40  % literal attempts: 6156
% 0.11/0.40  % depth failures: 1267
% 0.11/0.40  % regularity failures: 0
% 0.11/0.40  % tautology failures: 0
% 0.11/0.40  % reductions: 0
% 0.11/0.40  % extensions: 5777
% 0.11/0.40  % SAT variables: 3975
% 0.11/0.40  % SAT clauses: 3940
% 0.11/0.40  % WalkSAT solutions: 3937
% 0.11/0.40  % CDCL solutions: 0
% 0.11/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.40  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------