TSTP Solution File: LCL095-1 by SATCoP---0.1

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 14:12:48 EDT 2022

% Result   : Unsatisfiable 166.84s 21.24s
% Output   : Proof 166.84s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ is_a_theorem(implies(a,implies(implies(a,b),b))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_5)]) ).

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

cnf(g2,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g4,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g6,plain,
    is_a_theorem(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

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

cnf(g9,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g10,plain,
    is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g12,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(a,implies(a,implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

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

cnf(g15,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),a),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g16,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),a),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),a)),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

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

cnf(g19,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g20,plain,
    is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g22,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(a,implies(a,implies(a,implies(a,a))))),implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g24,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g25,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g26,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g27,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g28,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(a,a))))),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a))))))))
    | is_a_theorem(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

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

cnf(g30,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g31,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(a,a))))),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

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

cnf(g33,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g34,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))
    | is_a_theorem(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

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

cnf(g36,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g37,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g38,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

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

cnf(g40,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g41,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g42,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g43,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g44,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),a)),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),a)),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g45,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),a)),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g46,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g47,plain,
    is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g48,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g49,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g50,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g51,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g52,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(a,a),a)),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g53,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g54,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,implies(a,a))))),implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g55,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,implies(a,a))))),implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g56,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g57,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g58,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g59,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g60,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,implies(a,a)),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g61,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g62,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g63,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g64,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g65,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,a)),implies(implies(a,a),implies(implies(a,implies(a,a)),implies(a,a)))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,implies(a,a)),a),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g66,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(a,implies(a,a))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g67,plain,
    is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g68,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(a,a),a)),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(a,a),a)),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g69,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(implies(a,a),a)),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g70,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a))))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g71,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g72,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g73,plain,
    is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g74,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g75,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g76,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),b),a),implies(a,a)),implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g77,plain,
    is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g78,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g79,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g80,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g81,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g82,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))
    | is_a_theorem(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g83,plain,
    ( ~ is_a_theorem(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g84,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a)))),implies(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))))
    | is_a_theorem(implies(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g85,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a)))),implies(implies(implies(implies(b,a),implies(implies(a,b),a)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g86,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a))))))
    | is_a_theorem(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g87,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(implies(a,b),a)),implies(implies(a,implies(a,implies(a,b))),implies(implies(b,a),implies(implies(a,b),a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g88,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a))),implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g89,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a))),implies(implies(implies(implies(a,b),a),implies(a,implies(implies(a,b),b))),implies(implies(b,a),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g90,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a)))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g91,plain,
    is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(implies(a,b),b)),a),implies(implies(a,b),implies(implies(a,b),a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g92,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,b),b),a),implies(a,a)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),b),a),implies(a,a)),implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,b),b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g93,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g94,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g95,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)))),implies(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g96,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)))),implies(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g97,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g98,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)))),implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g99,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)))),implies(implies(implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(a,implies(implies(a,b),b))),implies(implies(a,implies(implies(a,b),b)),a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g100,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b))))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g101,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(a,b),b)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,b),b)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g102,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g103,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),implies(a,implies(implies(a,b),b))),implies(implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g104,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g105,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g106,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))),implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))))))
    | is_a_theorem(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g107,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))),implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))),implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g108,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))),implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g109,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g110,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)))),implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g111,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(a,implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)))),implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,a))),a)),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))),a),implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g112,plain,
    ( ~ is_a_theorem(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))))
    | ~ is_a_theorem(implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a)))))
    | is_a_theorem(implies(implies(a,a),implies(a,implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g113,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g114,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g115,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g116,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g117,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g118,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(a,a)),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,implies(implies(implies(a,implies(implies(a,a),implies(a,a))),a),implies(a,implies(implies(a,a),a))))),implies(implies(a,a),implies(a,implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g119,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g120,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g121,plain,
    is_a_theorem(implies(implies(implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),a),implies(a,implies(a,a))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g122,plain,
    ( ~ is_a_theorem(implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b)))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g123,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))
    | is_a_theorem(implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g124,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))
    | ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g125,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(a,b)),implies(implies(b,implies(a,b)),implies(a,implies(a,implies(a,b))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(a,b)),implies(implies(b,implies(a,b)),implies(a,implies(a,implies(a,b))))),implies(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g126,plain,
    is_a_theorem(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(a,b)),implies(implies(b,implies(a,b)),implies(a,implies(a,implies(a,b)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g127,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,b),implies(a,implies(implies(a,b),b))),implies(a,b)),implies(implies(b,implies(a,b)),implies(a,implies(a,implies(a,b))))),implies(implies(implies(a,implies(a,implies(a,b))),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g128,plain,
    is_a_theorem(implies(implies(implies(b,implies(a,b)),implies(implies(a,b),implies(a,implies(implies(a,b),b)))),implies(implies(implies(a,implies(implies(a,b),b)),b),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,b),b))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g129,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g130,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g131,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,implies(implies(a,b),b))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(a,a)))),implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g132,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g133,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))
    | is_a_theorem(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g134,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,implies(a,a))))),implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g135,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,implies(a,a))))),implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g136,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(a,implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g137,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(a,a),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g138,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g139,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g140,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g141,plain,
    is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g142,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g143,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g144,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(implies(a,a),a),implies(a,implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g145,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a))))
    | is_a_theorem(implies(a,implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g146,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g147,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g148,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(a,a),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(a,a),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g149,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(a,a),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,implies(a,implies(a,a))),implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g150,plain,
    ( ~ is_a_theorem(implies(implies(a,a),implies(a,implies(a,a))))
    | ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g151,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g152,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g153,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(a,a)),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(a,implies(a,implies(implies(a,a),implies(a,a)))))),implies(implies(implies(a,implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g154,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a))))
    | is_a_theorem(implies(implies(implies(implies(a,b),b),a),implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g155,plain,
    ( ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))
    | ~ is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g156,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g157,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,implies(implies(a,a),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(implies(a,a),implies(a,a))))))),implies(implies(implies(implies(a,b),b),a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g158,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g159,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g160,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g161,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,a)),implies(a,implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),implies(a,implies(a,a))),implies(implies(implies(implies(a,b),b),a),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g162,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a)))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g163,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g164,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(implies(implies(a,a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(a,implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g165,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g166,plain,
    ( ~ is_a_theorem(implies(a,a))
    | ~ is_a_theorem(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g167,plain,
    ( ~ is_a_theorem(implies(a,implies(a,a)))
    | ~ is_a_theorem(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | is_a_theorem(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g168,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g169,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g170,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,a)),implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,a)),implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g171,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,a)),implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g172,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),a)),implies(implies(a,implies(a,a)),implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g173,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g174,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,implies(implies(a,implies(a,a)),implies(a,implies(a,a))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(a,implies(a,implies(a,implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(a,a))),implies(a,implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g175,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g176,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g177,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(implies(a,a),a),implies(a,implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(implies(a,a),a),implies(a,implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))))
    | is_a_theorem(implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g178,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))))),implies(a,implies(implies(implies(a,a),a),implies(a,implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(implies(implies(a,implies(a,a)),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))),implies(implies(a,implies(implies(a,a),implies(a,implies(implies(a,a),implies(a,a))))),implies(implies(implies(implies(implies(a,a),a),implies(a,implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a))))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(a,a),a),implies(a,implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g179,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g180,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g181,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g182,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g183,plain,
    ( ~ is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a))))))
    | is_a_theorem(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g184,plain,
    ( ~ is_a_theorem(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))))
    | ~ is_a_theorem(implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))
    | is_a_theorem(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g185,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))))
    | is_a_theorem(implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g186,plain,
    ( ~ is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))
    | ~ is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))))
    | is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g187,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g188,plain,
    is_a_theorem(implies(implies(implies(implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(a,implies(implies(a,implies(a,a)),implies(implies(a,a),implies(a,implies(a,implies(a,a)))))),implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g189,plain,
    is_a_theorem(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))))),implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

cnf(g190,plain,
    is_a_theorem(implies(implies(implies(implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a))),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(a,a),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(implies(implies(implies(a,a),implies(a,a)),implies(implies(a,a),implies(a,implies(a,a)))),implies(a,a)))))))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL095-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  2 11:59:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 166.84/21.24  % symbols: 6
% 166.84/21.24  % clauses: 3
% 166.84/21.24  % start clauses: 1
% 166.84/21.24  % iterative deepening steps: 28542
% 166.84/21.24  % maximum path limit: 14
% 166.84/21.24  % literal attempts: 2539297
% 166.84/21.24  % depth failures: 277756
% 166.84/21.24  % regularity failures: 1736
% 166.84/21.24  % tautology failures: 13
% 166.84/21.24  % reductions: 0
% 166.84/21.24  % extensions: 2512597
% 166.84/21.24  % SAT variables: 2262424
% 166.84/21.24  % SAT clauses: 2365235
% 166.84/21.24  % WalkSAT solutions: 2365216
% 166.84/21.24  % CDCL solutions: 18
% 166.84/21.24  % SZS status Unsatisfiable for theBenchmark
% 166.84/21.24  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------