SATCoP---0.1.UNS-Prf.s

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL416-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:03:46 PM UTC 2026

% Result   : Unsatisfiable 234.49s 29.82s
% Output   : Proof 235.27s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    is_a_theorem(equivalent(a,equivalent(equivalent(equivalent(a,a),equivalent(a,a)),a))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xcb)]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(g30,plain,
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cnf(g45,plain,
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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment)]) ).

cnf(g46,plain,
    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    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',xcb)]) ).

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

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

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

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

cnf(g51,plain,
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%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
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% 234.49/29.82  % symbols: 5
% 234.49/29.82  % clauses: 3
% 234.49/29.82  % start clauses: 1
% 234.49/29.82  % iterative deepening steps: 10879
% 234.49/29.82  % maximum path limit: 12
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% 234.49/29.82  % depth failures: 79140
% 234.49/29.82  % regularity failures: 765
% 234.49/29.82  % tautology failures: 0
% 234.49/29.82  % reductions: 0
% 234.49/29.82  % extensions: 639379
% 234.49/29.82  % SAT variables: 589491
% 234.49/29.82  % SAT clauses: 597672
% 234.49/29.82  % WalkSAT solutions: 597671
% 234.49/29.82  % CDCL solutions: 0
% 234.49/29.82  % SZS status Unsatisfiable for theBenchmark
% 234.49/29.82  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------