TSTP Solution File: LCL006-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 14:12:17 EDT 2022

% Result   : Unsatisfiable 41.14s 5.48s
% Output   : Proof 41.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1)]) ).

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

cnf(g2,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c)))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,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(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g5,plain,
    is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(b,c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

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

cnf(g7,plain,
    is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g9,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(b,c),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g11,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(a,b),equivalent(c,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g13,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(a,b),equivalent(c,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

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

cnf(g15,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g17,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

cnf(g18,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

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

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

cnf(g22,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

cnf(g23,plain,
    ( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))))
    | ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))
    | is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g24,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

cnf(g25,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))))),equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

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

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

cnf(g28,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

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

cnf(g30,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

cnf(g31,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a)))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))),equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),equivalent(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))),equivalent(equivalent(a,b),equivalent(c,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

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

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

cnf(g34,plain,
    is_a_theorem(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

cnf(g35,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(b,c),a),equivalent(b,equivalent(c,a))),equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

cnf(g36,plain,
    is_a_theorem(equivalent(equivalent(equivalent(b,c),equivalent(a,equivalent(b,equivalent(c,a)))),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

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

cnf(g38,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)))),equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5)]) ).

cnf(g39,plain,
    is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c)),equivalent(equivalent(a,b),equivalent(c,a))),equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(equivalent(a,equivalent(b,equivalent(c,a))),equivalent(b,c))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul  3 22:33:43 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 41.14/5.48  % symbols: 7
% 41.14/5.48  % clauses: 4
% 41.14/5.48  % start clauses: 1
% 41.14/5.48  % iterative deepening steps: 4116
% 41.14/5.48  % maximum path limit: 51
% 41.14/5.48  % literal attempts: 228906
% 41.14/5.48  % depth failures: 4877
% 41.14/5.48  % regularity failures: 4263
% 41.14/5.48  % tautology failures: 306
% 41.14/5.48  % reductions: 0
% 41.14/5.48  % extensions: 224932
% 41.14/5.48  % SAT variables: 268954
% 41.14/5.48  % SAT clauses: 281016
% 41.14/5.48  % WalkSAT solutions: 281014
% 41.14/5.48  % CDCL solutions: 0
% 41.14/5.48  % SZS status Unsatisfiable for theBenchmark
% 41.14/5.48  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------