%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ049-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 : Mon Jul 18 18:27:23 EDT 2022

% Result   : Satisfiable 20.83s 21.06s
% Output   : Saturation 21.44s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 22165)

% Comments : 
%------------------------------------------------------------------------------
cnf(22171,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22165]),
    [iquote('0:Rew:1.0,22165.0')] ).

cnf(22153,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22147]),
    [iquote('0:Rew:1.0,22147.0')] ).

cnf(22130,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22124]),
    [iquote('0:Rew:1.0,22124.0')] ).

cnf(22112,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22106]),
    [iquote('0:Rew:1.0,22106.0')] ).

cnf(22072,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22066]),
    [iquote('0:Rew:1.0,22066.0')] ).

cnf(22028,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22022]),
    [iquote('0:Rew:1.0,22022.0')] ).

cnf(22006,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,22000]),
    [iquote('0:Rew:1.0,22000.0')] ).

cnf(21706,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21699]),
    [iquote('0:Rew:1.0,21699.0')] ).

cnf(21641,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21634]),
    [iquote('0:Rew:1.0,21634.0')] ).

cnf(21953,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21947]),
    [iquote('0:Rew:1.0,21947.0')] ).

cnf(21593,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21586]),
    [iquote('0:Rew:1.0,21586.0')] ).

cnf(21580,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21573]),
    [iquote('0:Rew:1.0,21573.0')] ).

cnf(21567,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21560]),
    [iquote('0:Rew:1.0,21560.0')] ).

cnf(21480,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21473]),
    [iquote('0:Rew:1.0,21473.0')] ).

cnf(21545,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21538]),
    [iquote('0:Rew:1.0,21538.0')] ).

cnf(21467,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21460]),
    [iquote('0:Rew:1.0,21460.0')] ).

cnf(21454,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21447]),
    [iquote('0:Rew:1.0,21447.0')] ).

cnf(21441,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21434]),
    [iquote('0:Rew:1.0,21434.0')] ).

cnf(21415,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21408]),
    [iquote('0:Rew:1.0,21408.0')] ).

cnf(21532,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21526]),
    [iquote('0:Rew:1.0,21526.0')] ).

cnf(21402,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21395]),
    [iquote('0:Rew:1.0,21395.0')] ).

cnf(21389,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21382]),
    [iquote('0:Rew:1.0,21382.0')] ).

cnf(21285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21278]),
    [iquote('0:Rew:1.0,21278.0')] ).

cnf(21272,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21265]),
    [iquote('0:Rew:1.0,21265.0')] ).

cnf(21224,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21217]),
    [iquote('0:Rew:1.0,21217.0')] ).

cnf(20990,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20984]),
    [iquote('0:Rew:1.0,20984.0')] ).

cnf(20981,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20975]),
    [iquote('0:Rew:1.0,20975.0')] ).

cnf(20972,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20966]),
    [iquote('0:Rew:1.0,20966.0')] ).

cnf(20932,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20922]),
    [iquote('0:Rew:1.0,20922.0')] ).

cnf(21097,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21091]),
    [iquote('0:Rew:1.0,21091.0')] ).

cnf(20930,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20923]),
    [iquote('0:Rew:1.0,20923.0')] ).

cnf(20919,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20909]),
    [iquote('0:Rew:1.0,20909.0')] ).

cnf(20917,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20910]),
    [iquote('0:Rew:1.0,20910.0')] ).

cnf(20906,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20896]),
    [iquote('0:Rew:1.0,20896.0')] ).

cnf(20963,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20957]),
    [iquote('0:Rew:1.0,20957.0')] ).

cnf(20904,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20897]),
    [iquote('0:Rew:1.0,20897.0')] ).

cnf(20880,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20870]),
    [iquote('0:Rew:1.0,20870.0')] ).

cnf(20878,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20871]),
    [iquote('0:Rew:1.0,20871.0')] ).

cnf(20865,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20858]),
    [iquote('0:Rew:1.0,20858.0')] ).

cnf(21807,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21801]),
    [iquote('0:Rew:1.0,21801.0')] ).

cnf(20854,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20844]),
    [iquote('0:Rew:1.0,20844.0')] ).

cnf(20852,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20845]),
    [iquote('0:Rew:1.0,20845.0')] ).

cnf(20839,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20832]),
    [iquote('0:Rew:1.0,20832.0')] ).

cnf(20819,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20809]),
    [iquote('0:Rew:1.0,20809.0')] ).

cnf(21767,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21761]),
    [iquote('0:Rew:1.0,21761.0')] ).

cnf(20817,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20810]),
    [iquote('0:Rew:1.0,20810.0')] ).

cnf(20806,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20796]),
    [iquote('0:Rew:1.0,20796.0')] ).

cnf(20804,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20797]),
    [iquote('0:Rew:1.0,20797.0')] ).

cnf(20791,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20784]),
    [iquote('0:Rew:1.0,20784.0')] ).

cnf(21519,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21512]),
    [iquote('0:Rew:1.0,21512.0')] ).

cnf(20778,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20771]),
    [iquote('0:Rew:1.0,20771.0')] ).

cnf(20758,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20748]),
    [iquote('0:Rew:1.0,20748.0')] ).

cnf(20756,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20749]),
    [iquote('0:Rew:1.0,20749.0')] ).

cnf(20745,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20735]),
    [iquote('0:Rew:1.0,20735.0')] ).

cnf(21506,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21500]),
    [iquote('0:Rew:1.0,21500.0')] ).

cnf(20743,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20736]),
    [iquote('0:Rew:1.0,20736.0')] ).

cnf(20732,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20722]),
    [iquote('0:Rew:1.0,20722.0')] ).

cnf(20730,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20723]),
    [iquote('0:Rew:1.0,20723.0')] ).

cnf(20719,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20709]),
    [iquote('0:Rew:1.0,20709.0')] ).

cnf(21167,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21160]),
    [iquote('0:Rew:1.0,21160.0')] ).

cnf(20717,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20710]),
    [iquote('0:Rew:1.0,20710.0')] ).

cnf(20693,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20683]),
    [iquote('0:Rew:1.0,20683.0')] ).

cnf(20691,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20684]),
    [iquote('0:Rew:1.0,20684.0')] ).

cnf(20680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20674]),
    [iquote('0:Rew:1.0,20674.0')] ).

cnf(21010,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21004]),
    [iquote('0:Rew:1.0,21004.0')] ).

cnf(20671,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20661]),
    [iquote('0:Rew:1.0,20661.0')] ).

cnf(20669,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20662]),
    [iquote('0:Rew:1.0,20662.0')] ).

cnf(20658,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20648]),
    [iquote('0:Rew:1.0,20648.0')] ).

cnf(20632,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20622]),
    [iquote('0:Rew:1.0,20622.0')] ).

cnf(20656,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20649]),
    [iquote('0:Rew:1.0,20649.0')] ).

cnf(20630,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20623]),
    [iquote('0:Rew:1.0,20623.0')] ).

cnf(20617,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20610]),
    [iquote('0:Rew:1.0,20610.0')] ).

cnf(20567,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20561]),
    [iquote('0:Rew:1.0,20561.0')] ).

cnf(20558,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20552]),
    [iquote('0:Rew:1.0,20552.0')] ).

cnf(21426,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21424]),
    [iquote('0:Rew:1.0,21424.0')] ).

cnf(20549,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20539]),
    [iquote('0:Rew:1.0,20539.0')] ).

cnf(20547,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20540]),
    [iquote('0:Rew:1.0,20540.0')] ).

cnf(20501,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20496]),
    [iquote('0:Rew:1.0,20496.0')] ).

cnf(20492,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20485]),
    [iquote('0:Rew:1.0,20485.0')] ).

cnf(20606,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20596]),
    [iquote('0:Rew:1.0,20596.0')] ).

cnf(20479,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20472]),
    [iquote('0:Rew:1.0,20472.0')] ).

cnf(20440,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20433]),
    [iquote('0:Rew:1.0,20433.0')] ).

cnf(20414,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20407]),
    [iquote('0:Rew:1.0,20407.0')] ).

cnf(20388,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20381]),
    [iquote('0:Rew:1.0,20381.0')] ).

cnf(20604,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20597]),
    [iquote('0:Rew:1.0,20597.0')] ).

cnf(20375,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20368]),
    [iquote('0:Rew:1.0,20368.0')] ).

cnf(20313,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20306]),
    [iquote('0:Rew:1.0,20306.0')] ).

cnf(20300,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20293]),
    [iquote('0:Rew:1.0,20293.0')] ).

cnf(20274,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20267]),
    [iquote('0:Rew:1.0,20267.0')] ).

cnf(20591,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20584]),
    [iquote('0:Rew:1.0,20584.0')] ).

cnf(20261,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20254]),
    [iquote('0:Rew:1.0,20254.0')] ).

cnf(20122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20113]),
    [iquote('0:Rew:1.0,20113.0')] ).

cnf(19992,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19985]),
    [iquote('0:Rew:1.0,19985.0')] ).

cnf(19834,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19825]),
    [iquote('0:Rew:1.0,19825.0')] ).

cnf(19979,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19972]),
    [iquote('0:Rew:1.0,19972.0')] ).

cnf(19585,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19578]),
    [iquote('0:Rew:1.0,19578.0')] ).

cnf(19572,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19565]),
    [iquote('0:Rew:1.0,19565.0')] ).

cnf(19541,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19534]),
    [iquote('0:Rew:1.0,19534.0')] ).

cnf(19519,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19512]),
    [iquote('0:Rew:1.0,19512.0')] ).

cnf(21363,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21357]),
    [iquote('0:Rew:1.0,21357.0')] ).

cnf(19475,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19468]),
    [iquote('0:Rew:1.0,19468.0')] ).

cnf(19462,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19455]),
    [iquote('0:Rew:1.0,19455.0')] ).

cnf(19418,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19411]),
    [iquote('0:Rew:1.0,19411.0')] ).

cnf(19396,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19389]),
    [iquote('0:Rew:1.0,19389.0')] ).

cnf(21235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,21229]),
    [iquote('0:Rew:1.0,21229.0')] ).

cnf(19348,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19341]),
    [iquote('0:Rew:1.0,19341.0')] ).

cnf(19304,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19297]),
    [iquote('0:Rew:1.0,19297.0')] ).

cnf(19243,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19236]),
    [iquote('0:Rew:1.0,19236.0')] ).

cnf(19221,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19214]),
    [iquote('0:Rew:1.0,19214.0')] ).

cnf(20536,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20526]),
    [iquote('0:Rew:1.0,20526.0')] ).

cnf(19142,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19135]),
    [iquote('0:Rew:1.0,19135.0')] ).

cnf(19120,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19113]),
    [iquote('0:Rew:1.0,19113.0')] ).

cnf(19080,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19073]),
    [iquote('0:Rew:1.0,19073.0')] ).

cnf(19032,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19025]),
    [iquote('0:Rew:1.0,19025.0')] ).

cnf(20534,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20527]),
    [iquote('0:Rew:1.0,20527.0')] ).

cnf(18661,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18656]),
    [iquote('0:Rew:1.0,18656.0')] ).

cnf(18599,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18594]),
    [iquote('0:Rew:1.0,18594.0')] ).

cnf(18577,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18572]),
    [iquote('0:Rew:1.0,18572.0')] ).

cnf(18488,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18483]),
    [iquote('0:Rew:1.0,18483.0')] ).

cnf(20941,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20935]),
    [iquote('0:Rew:1.0,20935.0')] ).

cnf(18479,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18474]),
    [iquote('0:Rew:1.0,18474.0')] ).

cnf(18199,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18192]),
    [iquote('0:Rew:1.0,18192.0')] ).

cnf(18163,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18156]),
    [iquote('0:Rew:1.0,18156.0')] ).

cnf(18136,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18129]),
    [iquote('0:Rew:1.0,18129.0')] ).

cnf(20510,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20504]),
    [iquote('0:Rew:1.0,20504.0')] ).

cnf(18100,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18093]),
    [iquote('0:Rew:1.0,18093.0')] ).

cnf(17694,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17685]),
    [iquote('0:Rew:1.0,17685.0')] ).

cnf(17554,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17545]),
    [iquote('0:Rew:1.0,17545.0')] ).

cnf(17519,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17510]),
    [iquote('0:Rew:1.0,17510.0')] ).

cnf(20704,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20697]),
    [iquote('0:Rew:1.0,20697.0')] ).

cnf(17346,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17339]),
    [iquote('0:Rew:1.0,17339.0')] ).

cnf(17314,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17307]),
    [iquote('0:Rew:1.0,17307.0')] ).

cnf(17003,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16994]),
    [iquote('0:Rew:1.0,16994.0')] ).

cnf(16964,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16955]),
    [iquote('0:Rew:1.0,16955.0')] ).

cnf(20643,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20636]),
    [iquote('0:Rew:1.0,20636.0')] ).

cnf(16600,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16593]),
    [iquote('0:Rew:1.0,16593.0')] ).

cnf(16587,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16580]),
    [iquote('0:Rew:1.0,16580.0')] ).

cnf(16565,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16558]),
    [iquote('0:Rew:1.0,16558.0')] ).

cnf(16552,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16545]),
    [iquote('0:Rew:1.0,16545.0')] ).

cnf(20464,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20457]),
    [iquote('0:Rew:1.0,20457.0')] ).

cnf(16526,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16519]),
    [iquote('0:Rew:1.0,16519.0')] ).

cnf(15001,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14994]),
    [iquote('0:Rew:1.0,14994.0')] ).

cnf(14983,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14976]),
    [iquote('0:Rew:1.0,14976.0')] ).

cnf(14970,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14963]),
    [iquote('0:Rew:1.0,14963.0')] ).

cnf(20399,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20392]),
    [iquote('0:Rew:1.0,20392.0')] ).

cnf(14957,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14950]),
    [iquote('0:Rew:1.0,14950.0')] ).

cnf(14926,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14919]),
    [iquote('0:Rew:1.0,14919.0')] ).

cnf(14913,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14906]),
    [iquote('0:Rew:1.0,14906.0')] ).

cnf(14887,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14880]),
    [iquote('0:Rew:1.0,14880.0')] ).

cnf(20342,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20335]),
    [iquote('0:Rew:1.0,20335.0')] ).

cnf(14861,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14854]),
    [iquote('0:Rew:1.0,14854.0')] ).

cnf(14835,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14828]),
    [iquote('0:Rew:1.0,14828.0')] ).

cnf(14822,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14815]),
    [iquote('0:Rew:1.0,14815.0')] ).

cnf(14783,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14776]),
    [iquote('0:Rew:1.0,14776.0')] ).

cnf(20285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20278]),
    [iquote('0:Rew:1.0,20278.0')] ).

cnf(14770,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14763]),
    [iquote('0:Rew:1.0,14763.0')] ).

cnf(14568,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14561]),
    [iquote('0:Rew:1.0,14561.0')] ).

cnf(14542,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14535]),
    [iquote('0:Rew:1.0,14535.0')] ).

cnf(14507,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14500]),
    [iquote('0:Rew:1.0,14500.0')] ).

cnf(20222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20217]),
    [iquote('0:Rew:1.0,20217.0')] ).

cnf(14481,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14474]),
    [iquote('0:Rew:1.0,14474.0')] ).

cnf(14468,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14461]),
    [iquote('0:Rew:1.0,14461.0')] ).

cnf(14442,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14435]),
    [iquote('0:Rew:1.0,14435.0')] ).

cnf(14189,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14182]),
    [iquote('0:Rew:1.0,14182.0')] ).

cnf(19817,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19812]),
    [iquote('0:Rew:1.0,19812.0')] ).

cnf(14163,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14156]),
    [iquote('0:Rew:1.0,14156.0')] ).

cnf(14137,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14130]),
    [iquote('0:Rew:1.0,14130.0')] ).

cnf(14076,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14069]),
    [iquote('0:Rew:1.0,14069.0')] ).

cnf(14063,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14056]),
    [iquote('0:Rew:1.0,14056.0')] ).

cnf(20159,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20152]),
    [iquote('0:Rew:1.0,20152.0')] ).

cnf(13984,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13977]),
    [iquote('0:Rew:1.0,13977.0')] ).

cnf(13949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13942]),
    [iquote('0:Rew:1.0,13942.0')] ).

cnf(13888,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13881]),
    [iquote('0:Rew:1.0,13881.0')] ).

cnf(13862,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13855]),
    [iquote('0:Rew:1.0,13855.0')] ).

cnf(20086,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20079]),
    [iquote('0:Rew:1.0,20079.0')] ).

cnf(13697,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13690]),
    [iquote('0:Rew:1.0,13690.0')] ).

cnf(19506,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19496]),
    [iquote('0:Rew:1.0,19496.0')] ).

cnf(19370,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19364]),
    [iquote('0:Rew:1.0,19364.0')] ).

cnf(19335,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19329]),
    [iquote('0:Rew:1.0,19329.0')] ).

cnf(20023,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,20016]),
    [iquote('0:Rew:1.0,20016.0')] ).

cnf(19278,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19272]),
    [iquote('0:Rew:1.0,19272.0')] ).

cnf(19230,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19224]),
    [iquote('0:Rew:1.0,19224.0')] ).

cnf(19173,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19167]),
    [iquote('0:Rew:1.0,19167.0')] ).

cnf(19129,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19123]),
    [iquote('0:Rew:1.0,19123.0')] ).

cnf(19808,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19801]),
    [iquote('0:Rew:1.0,19801.0')] ).

cnf(19067,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19061]),
    [iquote('0:Rew:1.0,19061.0')] ).

cnf(19019,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19013]),
    [iquote('0:Rew:1.0,19013.0')] ).

cnf(18350,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18344]),
    [iquote('0:Rew:1.0,18344.0')] ).

cnf(18310,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18304]),
    [iquote('0:Rew:1.0,18304.0')] ).

cnf(19001,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18994]),
    [iquote('0:Rew:1.0,18994.0')] ).

cnf(18279,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18273]),
    [iquote('0:Rew:1.0,18273.0')] ).

cnf(18235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18229]),
    [iquote('0:Rew:1.0,18229.0')] ).

cnf(18186,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18180]),
    [iquote('0:Rew:1.0,18180.0')] ).

cnf(18150,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18144]),
    [iquote('0:Rew:1.0,18144.0')] ).

cnf(16858,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16851]),
    [iquote('0:Rew:1.0,16851.0')] ).

cnf(18114,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18108]),
    [iquote('0:Rew:1.0,18108.0')] ).

cnf(18087,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18081]),
    [iquote('0:Rew:1.0,18081.0')] ).

cnf(18052,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18046]),
    [iquote('0:Rew:1.0,18046.0')] ).

cnf(18030,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18024]),
    [iquote('0:Rew:1.0,18024.0')] ).

cnf(18975,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18965]),
    [iquote('0:Rew:1.0,18965.0')] ).

cnf(17995,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17989]),
    [iquote('0:Rew:1.0,17989.0')] ).

cnf(17973,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17967]),
    [iquote('0:Rew:1.0,17967.0')] ).

cnf(17938,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17932]),
    [iquote('0:Rew:1.0,17932.0')] ).

cnf(17890,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17884]),
    [iquote('0:Rew:1.0,17884.0')] ).

cnf(18949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18942]),
    [iquote('0:Rew:1.0,18942.0')] ).

cnf(17855,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17849]),
    [iquote('0:Rew:1.0,17849.0')] ).

cnf(17811,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17805]),
    [iquote('0:Rew:1.0,17805.0')] ).

cnf(17677,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17671]),
    [iquote('0:Rew:1.0,17671.0')] ).

cnf(17651,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17645]),
    [iquote('0:Rew:1.0,17645.0')] ).

cnf(16779,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16772]),
    [iquote('0:Rew:1.0,16772.0')] ).

cnf(17537,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17531]),
    [iquote('0:Rew:1.0,17531.0')] ).

cnf(17502,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17496]),
    [iquote('0:Rew:1.0,17496.0')] ).

cnf(17466,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17460]),
    [iquote('0:Rew:1.0,17460.0')] ).

cnf(17435,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17429]),
    [iquote('0:Rew:1.0,17429.0')] ).

cnf(18936,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18930]),
    [iquote('0:Rew:1.0,18930.0')] ).

cnf(17404,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17398]),
    [iquote('0:Rew:1.0,17398.0')] ).

cnf(17386,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17380]),
    [iquote('0:Rew:1.0,17380.0')] ).

cnf(17333,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17327]),
    [iquote('0:Rew:1.0,17327.0')] ).

cnf(17301,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17295]),
    [iquote('0:Rew:1.0,17295.0')] ).

cnf(19750,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19740]),
    [iquote('0:Rew:1.0,19740.0')] ).

cnf(17274,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17268]),
    [iquote('0:Rew:1.0,17268.0')] ).

cnf(17251,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17245]),
    [iquote('0:Rew:1.0,17245.0')] ).

cnf(17215,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17209]),
    [iquote('0:Rew:1.0,17209.0')] ).

cnf(17184,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17178]),
    [iquote('0:Rew:1.0,17178.0')] ).

cnf(19693,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19683]),
    [iquote('0:Rew:1.0,19683.0')] ).

cnf(17162,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17156]),
    [iquote('0:Rew:1.0,17156.0')] ).

cnf(17114,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17108]),
    [iquote('0:Rew:1.0,17108.0')] ).

cnf(17074,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17068]),
    [iquote('0:Rew:1.0,17068.0')] ).

cnf(17056,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17050]),
    [iquote('0:Rew:1.0,17050.0')] ).

cnf(19636,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19626]),
    [iquote('0:Rew:1.0,19626.0')] ).

cnf(16986,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16980]),
    [iquote('0:Rew:1.0,16980.0')] ).

cnf(16947,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16941]),
    [iquote('0:Rew:1.0,16941.0')] ).

cnf(16845,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16835]),
    [iquote('0:Rew:1.0,16835.0')] ).

cnf(16766,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16760]),
    [iquote('0:Rew:1.0,16760.0')] ).

cnf(19603,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19593]),
    [iquote('0:Rew:1.0,19593.0')] ).

cnf(16722,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16712]),
    [iquote('0:Rew:1.0,16712.0')] ).

cnf(16709,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16699]),
    [iquote('0:Rew:1.0,16699.0')] ).

cnf(16687,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16677]),
    [iquote('0:Rew:1.0,16677.0')] ).

cnf(16674,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16664]),
    [iquote('0:Rew:1.0,16664.0')] ).

cnf(19381,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19374]),
    [iquote('0:Rew:1.0,19374.0')] ).

cnf(16661,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16651]),
    [iquote('0:Rew:1.0,16651.0')] ).

cnf(16659,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16652]),
    [iquote('0:Rew:1.0,16652.0')] ).

cnf(16648,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16638]),
    [iquote('0:Rew:1.0,16638.0')] ).

cnf(16646,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16639]),
    [iquote('0:Rew:1.0,16639.0')] ).

cnf(19379,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19376]),
    [iquote('0:Rew:1.0,19376.0')] ).

cnf(16626,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16616]),
    [iquote('0:Rew:1.0,16616.0')] ).

cnf(16624,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16617]),
    [iquote('0:Rew:1.0,16617.0')] ).

cnf(16613,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16603]),
    [iquote('0:Rew:1.0,16603.0')] ).

cnf(16611,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16604]),
    [iquote('0:Rew:1.0,16604.0')] ).

cnf(19267,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19260]),
    [iquote('0:Rew:1.0,19260.0')] ).

cnf(16598,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16590]),
    [iquote('0:Rew:1.0,16590.0')] ).

cnf(16585,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16577]),
    [iquote('0:Rew:1.0,16577.0')] ).

cnf(16563,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16555]),
    [iquote('0:Rew:1.0,16555.0')] ).

cnf(16550,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16542]),
    [iquote('0:Rew:1.0,16542.0')] ).

cnf(19265,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,19262]),
    [iquote('0:Rew:1.0,19262.0')] ).

cnf(16524,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16516]),
    [iquote('0:Rew:1.0,16516.0')] ).

cnf(16502,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16495]),
    [iquote('0:Rew:1.0,16495.0')] ).

cnf(16447,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16437]),
    [iquote('0:Rew:1.0,16437.0')] ).

cnf(16434,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16428]),
    [iquote('0:Rew:1.0,16428.0')] ).

cnf(18780,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18770]),
    [iquote('0:Rew:1.0,18770.0')] ).

cnf(16377,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16367]),
    [iquote('0:Rew:1.0,16367.0')] ).

cnf(16364,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16358]),
    [iquote('0:Rew:1.0,16358.0')] ).

cnf(16324,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16314]),
    [iquote('0:Rew:1.0,16314.0')] ).

cnf(16322,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16315]),
    [iquote('0:Rew:1.0,16315.0')] ).

cnf(18723,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18713]),
    [iquote('0:Rew:1.0,18713.0')] ).

cnf(16298,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16292]),
    [iquote('0:Rew:1.0,16292.0')] ).

cnf(16274,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16267]),
    [iquote('0:Rew:1.0,16267.0')] ).

cnf(16241,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16231]),
    [iquote('0:Rew:1.0,16231.0')] ).

cnf(16206,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16200]),
    [iquote('0:Rew:1.0,16200.0')] ).

cnf(18564,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18561]),
    [iquote('0:Rew:1.0,18561.0')] ).

cnf(16195,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16185]),
    [iquote('0:Rew:1.0,16185.0')] ).

cnf(16193,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16186]),
    [iquote('0:Rew:1.0,16186.0')] ).

cnf(16178,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16172]),
    [iquote('0:Rew:1.0,16172.0')] ).

cnf(16158,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16148]),
    [iquote('0:Rew:1.0,16148.0')] ).

cnf(18515,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18509]),
    [iquote('0:Rew:1.0,18509.0')] ).

cnf(16156,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16149]),
    [iquote('0:Rew:1.0,16149.0')] ).

cnf(16145,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16139]),
    [iquote('0:Rew:1.0,16139.0')] ).

cnf(16136,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16126]),
    [iquote('0:Rew:1.0,16126.0')] ).

cnf(16134,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16127]),
    [iquote('0:Rew:1.0,16127.0')] ).

cnf(18468,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18461]),
    [iquote('0:Rew:1.0,18461.0')] ).

cnf(16121,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16111]),
    [iquote('0:Rew:1.0,16111.0')] ).

cnf(16119,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16112]),
    [iquote('0:Rew:1.0,16112.0')] ).

cnf(16088,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16078]),
    [iquote('0:Rew:1.0,16078.0')] ).

cnf(16086,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16079]),
    [iquote('0:Rew:1.0,16079.0')] ).

cnf(18413,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18407]),
    [iquote('0:Rew:1.0,18407.0')] ).

cnf(16075,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16069]),
    [iquote('0:Rew:1.0,16069.0')] ).

cnf(16066,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16056]),
    [iquote('0:Rew:1.0,16056.0')] ).

cnf(16064,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16057]),
    [iquote('0:Rew:1.0,16057.0')] ).

cnf(16046,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16035]),
    [iquote('0:Rew:1.0,16035.0')] ).

cnf(16744,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16737]),
    [iquote('0:Rew:1.0,16737.0')] ).

cnf(16044,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16038]),
    [iquote('0:Rew:1.0,16038.0')] ).

cnf(16018,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16008]),
    [iquote('0:Rew:1.0,16008.0')] ).

cnf(16016,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16009]),
    [iquote('0:Rew:1.0,16009.0')] ).

cnf(16005,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15999]),
    [iquote('0:Rew:1.0,15999.0')] ).

cnf(18366,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18363]),
    [iquote('0:Rew:1.0,18363.0')] ).

cnf(15983,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15973]),
    [iquote('0:Rew:1.0,15973.0')] ).

cnf(15981,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15974]),
    [iquote('0:Rew:1.0,15974.0')] ).

cnf(15968,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15957]),
    [iquote('0:Rew:1.0,15957.0')] ).

cnf(15966,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15960]),
    [iquote('0:Rew:1.0,15960.0')] ).

cnf(18317,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18314]),
    [iquote('0:Rew:1.0,18314.0')] ).

cnf(15951,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15945]),
    [iquote('0:Rew:1.0,15945.0')] ).

cnf(15940,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15930]),
    [iquote('0:Rew:1.0,15930.0')] ).

cnf(15938,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15931]),
    [iquote('0:Rew:1.0,15931.0')] ).

cnf(15914,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15908]),
    [iquote('0:Rew:1.0,15908.0')] ).

cnf(18213,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18207]),
    [iquote('0:Rew:1.0,18207.0')] ).

cnf(15905,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15895]),
    [iquote('0:Rew:1.0,15895.0')] ).

cnf(15903,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15896]),
    [iquote('0:Rew:1.0,15896.0')] ).

cnf(15892,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15886]),
    [iquote('0:Rew:1.0,15886.0')] ).

cnf(15883,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15873]),
    [iquote('0:Rew:1.0,15873.0')] ).

cnf(16731,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16725]),
    [iquote('0:Rew:1.0,16725.0')] ).

cnf(15881,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15874]),
    [iquote('0:Rew:1.0,15874.0')] ).

cnf(15826,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15820]),
    [iquote('0:Rew:1.0,15820.0')] ).

cnf(15808,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15798]),
    [iquote('0:Rew:1.0,15798.0')] ).

cnf(15806,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15799]),
    [iquote('0:Rew:1.0,15799.0')] ).

cnf(18172,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18166]),
    [iquote('0:Rew:1.0,18166.0')] ).

cnf(15767,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15760]),
    [iquote('0:Rew:1.0,15760.0')] ).

cnf(15745,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15738]),
    [iquote('0:Rew:1.0,15738.0')] ).

cnf(15732,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15725]),
    [iquote('0:Rew:1.0,15725.0')] ).

cnf(15719,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15712]),
    [iquote('0:Rew:1.0,15712.0')] ).

cnf(18123,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18117]),
    [iquote('0:Rew:1.0,18117.0')] ).

cnf(15706,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15700]),
    [iquote('0:Rew:1.0,15700.0')] ).

cnf(15680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15674]),
    [iquote('0:Rew:1.0,15674.0')] ).

cnf(15667,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15661]),
    [iquote('0:Rew:1.0,15661.0')] ).

cnf(15654,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15648]),
    [iquote('0:Rew:1.0,15648.0')] ).

cnf(18078,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18068]),
    [iquote('0:Rew:1.0,18068.0')] ).

cnf(15641,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15635]),
    [iquote('0:Rew:1.0,15635.0')] ).

cnf(15615,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15609]),
    [iquote('0:Rew:1.0,15609.0')] ).

cnf(15602,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15596]),
    [iquote('0:Rew:1.0,15596.0')] ).

cnf(15589,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15583]),
    [iquote('0:Rew:1.0,15583.0')] ).

cnf(18019,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,18012]),
    [iquote('0:Rew:1.0,18012.0')] ).

cnf(15576,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15569]),
    [iquote('0:Rew:1.0,15569.0')] ).

cnf(15550,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15544]),
    [iquote('0:Rew:1.0,15544.0')] ).

cnf(15537,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15531]),
    [iquote('0:Rew:1.0,15531.0')] ).

cnf(15524,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15518]),
    [iquote('0:Rew:1.0,15518.0')] ).

cnf(17960,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17957]),
    [iquote('0:Rew:1.0,17957.0')] ).

cnf(15511,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15505]),
    [iquote('0:Rew:1.0,15505.0')] ).

cnf(15487,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15477]),
    [iquote('0:Rew:1.0,15477.0')] ).

cnf(15411,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15404]),
    [iquote('0:Rew:1.0,15404.0')] ).

cnf(15398,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15391]),
    [iquote('0:Rew:1.0,15391.0')] ).

cnf(17846,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17840]),
    [iquote('0:Rew:1.0,17840.0')] ).

cnf(15387,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15377]),
    [iquote('0:Rew:1.0,15377.0')] ).

cnf(15385,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15379]),
    [iquote('0:Rew:1.0,15379.0')] ).

cnf(15365,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15355]),
    [iquote('0:Rew:1.0,15355.0')] ).

cnf(15350,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15343]),
    [iquote('0:Rew:1.0,15343.0')] ).

cnf(17789,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17783]),
    [iquote('0:Rew:1.0,17783.0')] ).

cnf(15337,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15330]),
    [iquote('0:Rew:1.0,15330.0')] ).

cnf(15326,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15316]),
    [iquote('0:Rew:1.0,15316.0')] ).

cnf(15324,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15318]),
    [iquote('0:Rew:1.0,15318.0')] ).

cnf(15300,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15290]),
    [iquote('0:Rew:1.0,15290.0')] ).

cnf(17642,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17632]),
    [iquote('0:Rew:1.0,17632.0')] ).

cnf(15298,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15292]),
    [iquote('0:Rew:1.0,15292.0')] ).

cnf(15285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15279]),
    [iquote('0:Rew:1.0,15279.0')] ).

cnf(15272,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15266]),
    [iquote('0:Rew:1.0,15266.0')] ).

cnf(15220,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15214]),
    [iquote('0:Rew:1.0,15214.0')] ).

cnf(17640,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17633]),
    [iquote('0:Rew:1.0,17633.0')] ).

cnf(15207,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15201]),
    [iquote('0:Rew:1.0,15201.0')] ).

cnf(15129,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15122]),
    [iquote('0:Rew:1.0,15122.0')] ).

cnf(15105,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15095]),
    [iquote('0:Rew:1.0,15095.0')] ).

cnf(15092,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15082]),
    [iquote('0:Rew:1.0,15082.0')] ).

cnf(17589,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17579]),
    [iquote('0:Rew:1.0,17579.0')] ).

cnf(15090,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15084]),
    [iquote('0:Rew:1.0,15084.0')] ).

cnf(15077,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15071]),
    [iquote('0:Rew:1.0,15071.0')] ).

cnf(15014,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15004]),
    [iquote('0:Rew:1.0,15004.0')] ).

cnf(15012,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15005]),
    [iquote('0:Rew:1.0,15005.0')] ).

cnf(17587,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17580]),
    [iquote('0:Rew:1.0,17580.0')] ).

cnf(14999,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14991]),
    [iquote('0:Rew:1.0,14991.0')] ).

cnf(14981,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14973]),
    [iquote('0:Rew:1.0,14973.0')] ).

cnf(14968,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14960]),
    [iquote('0:Rew:1.0,14960.0')] ).

cnf(14955,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14947]),
    [iquote('0:Rew:1.0,14947.0')] ).

cnf(17426,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17416]),
    [iquote('0:Rew:1.0,17416.0')] ).

cnf(14944,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14934]),
    [iquote('0:Rew:1.0,14934.0')] ).

cnf(14942,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14935]),
    [iquote('0:Rew:1.0,14935.0')] ).

cnf(14911,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14903]),
    [iquote('0:Rew:1.0,14903.0')] ).

cnf(14900,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14890]),
    [iquote('0:Rew:1.0,14890.0')] ).

cnf(17377,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17367]),
    [iquote('0:Rew:1.0,17367.0')] ).

cnf(14898,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14891]),
    [iquote('0:Rew:1.0,14891.0')] ).

cnf(14859,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14851]),
    [iquote('0:Rew:1.0,14851.0')] ).

cnf(14848,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14838]),
    [iquote('0:Rew:1.0,14838.0')] ).

cnf(14846,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14839]),
    [iquote('0:Rew:1.0,14839.0')] ).

cnf(15782,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15772]),
    [iquote('0:Rew:1.0,15772.0')] ).

cnf(14833,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14825]),
    [iquote('0:Rew:1.0,14825.0')] ).

cnf(14796,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14786]),
    [iquote('0:Rew:1.0,14786.0')] ).

cnf(14794,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14787]),
    [iquote('0:Rew:1.0,14787.0')] ).

cnf(14768,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14760]),
    [iquote('0:Rew:1.0,14760.0')] ).

cnf(15780,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15773]),
    [iquote('0:Rew:1.0,15773.0')] ).

cnf(14757,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14751]),
    [iquote('0:Rew:1.0,14751.0')] ).

cnf(14739,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14729]),
    [iquote('0:Rew:1.0,14729.0')] ).

cnf(14737,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14730]),
    [iquote('0:Rew:1.0,14730.0')] ).

cnf(14726,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14720]),
    [iquote('0:Rew:1.0,14720.0')] ).

cnf(16916,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16909]),
    [iquote('0:Rew:1.0,16909.0')] ).

cnf(14717,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14707]),
    [iquote('0:Rew:1.0,14707.0')] ).

cnf(14715,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14708]),
    [iquote('0:Rew:1.0,14708.0')] ).

cnf(14704,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14698]),
    [iquote('0:Rew:1.0,14698.0')] ).

cnf(14686,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14676]),
    [iquote('0:Rew:1.0,14676.0')] ).

cnf(16871,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16864]),
    [iquote('0:Rew:1.0,16864.0')] ).

cnf(14684,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14677]),
    [iquote('0:Rew:1.0,14677.0')] ).

cnf(14673,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14667]),
    [iquote('0:Rew:1.0,14667.0')] ).

cnf(14664,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14654]),
    [iquote('0:Rew:1.0,14654.0')] ).

cnf(14662,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14655]),
    [iquote('0:Rew:1.0,14655.0')] ).

cnf(17240,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17233]),
    [iquote('0:Rew:1.0,17233.0')] ).

cnf(14651,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14641]),
    [iquote('0:Rew:1.0,14641.0')] ).

cnf(14649,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14642]),
    [iquote('0:Rew:1.0,14642.0')] ).

cnf(14629,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14619]),
    [iquote('0:Rew:1.0,14619.0')] ).

cnf(14627,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14620]),
    [iquote('0:Rew:1.0,14620.0')] ).

cnf(17193,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17187]),
    [iquote('0:Rew:1.0,17187.0')] ).

cnf(14616,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14606]),
    [iquote('0:Rew:1.0,14606.0')] ).

cnf(14614,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14607]),
    [iquote('0:Rew:1.0,14607.0')] ).

cnf(14603,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14593]),
    [iquote('0:Rew:1.0,14593.0')] ).

cnf(14601,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14594]),
    [iquote('0:Rew:1.0,14594.0')] ).

cnf(17083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17077]),
    [iquote('0:Rew:1.0,17077.0')] ).

cnf(14590,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14580]),
    [iquote('0:Rew:1.0,14580.0')] ).

cnf(14588,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14581]),
    [iquote('0:Rew:1.0,14581.0')] ).

cnf(14566,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14558]),
    [iquote('0:Rew:1.0,14558.0')] ).

cnf(14555,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14545]),
    [iquote('0:Rew:1.0,14545.0')] ).

cnf(17038,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17028]),
    [iquote('0:Rew:1.0,17028.0')] ).

cnf(14553,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14546]),
    [iquote('0:Rew:1.0,14546.0')] ).

cnf(14540,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14532]),
    [iquote('0:Rew:1.0,14532.0')] ).

cnf(14529,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14519]),
    [iquote('0:Rew:1.0,14519.0')] ).

cnf(14527,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14520]),
    [iquote('0:Rew:1.0,14520.0')] ).

cnf(17036,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,17029]),
    [iquote('0:Rew:1.0,17029.0')] ).

cnf(14505,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14497]),
    [iquote('0:Rew:1.0,14497.0')] ).

cnf(14494,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14484]),
    [iquote('0:Rew:1.0,14484.0')] ).

cnf(14492,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14485]),
    [iquote('0:Rew:1.0,14485.0')] ).

cnf(14479,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14471]),
    [iquote('0:Rew:1.0,14471.0')] ).

cnf(16975,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16968]),
    [iquote('0:Rew:1.0,16968.0')] ).

cnf(14466,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14458]),
    [iquote('0:Rew:1.0,14458.0')] ).

cnf(14440,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14432]),
    [iquote('0:Rew:1.0,14432.0')] ).

cnf(14427,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14420]),
    [iquote('0:Rew:1.0,14420.0')] ).

cnf(14416,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14406]),
    [iquote('0:Rew:1.0,14406.0')] ).

cnf(16914,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16906]),
    [iquote('0:Rew:1.0,16906.0')] ).

cnf(14414,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14407]),
    [iquote('0:Rew:1.0,14407.0')] ).

cnf(14401,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14394]),
    [iquote('0:Rew:1.0,14394.0')] ).

cnf(14377,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14367]),
    [iquote('0:Rew:1.0,14367.0')] ).

cnf(14375,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14368]),
    [iquote('0:Rew:1.0,14368.0')] ).

cnf(16869,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16861]),
    [iquote('0:Rew:1.0,16861.0')] ).

cnf(14364,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14354]),
    [iquote('0:Rew:1.0,14354.0')] ).

cnf(14362,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14355]),
    [iquote('0:Rew:1.0,14355.0')] ).

cnf(14320,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14310]),
    [iquote('0:Rew:1.0,14310.0')] ).

cnf(14318,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14311]),
    [iquote('0:Rew:1.0,14311.0')] ).

cnf(16403,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16396]),
    [iquote('0:Rew:1.0,16396.0')] ).

cnf(14305,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14298]),
    [iquote('0:Rew:1.0,14298.0')] ).

cnf(14263,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14253]),
    [iquote('0:Rew:1.0,14253.0')] ).

cnf(14261,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14254]),
    [iquote('0:Rew:1.0,14254.0')] ).

cnf(14248,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14241]),
    [iquote('0:Rew:1.0,14241.0')] ).

cnf(16289,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16282]),
    [iquote('0:Rew:1.0,16282.0')] ).

cnf(14237,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14227]),
    [iquote('0:Rew:1.0,14227.0')] ).

cnf(14235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14228]),
    [iquote('0:Rew:1.0,14228.0')] ).

cnf(14224,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14214]),
    [iquote('0:Rew:1.0,14214.0')] ).

cnf(14222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14215]),
    [iquote('0:Rew:1.0,14215.0')] ).

cnf(16694,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16691]),
    [iquote('0:Rew:1.0,16691.0')] ).

cnf(14202,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14192]),
    [iquote('0:Rew:1.0,14192.0')] ).

cnf(14200,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14193]),
    [iquote('0:Rew:1.0,14193.0')] ).

cnf(14187,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14179]),
    [iquote('0:Rew:1.0,14179.0')] ).

cnf(14176,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14166]),
    [iquote('0:Rew:1.0,14166.0')] ).

cnf(16633,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16630]),
    [iquote('0:Rew:1.0,16630.0')] ).

cnf(14174,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14167]),
    [iquote('0:Rew:1.0,14167.0')] ).

cnf(14161,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14153]),
    [iquote('0:Rew:1.0,14153.0')] ).

cnf(14124,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14114]),
    [iquote('0:Rew:1.0,14114.0')] ).

cnf(14122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14115]),
    [iquote('0:Rew:1.0,14115.0')] ).

cnf(16572,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16569]),
    [iquote('0:Rew:1.0,16569.0')] ).

cnf(14111,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14101]),
    [iquote('0:Rew:1.0,14101.0')] ).

cnf(14109,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14102]),
    [iquote('0:Rew:1.0,14102.0')] ).

cnf(14098,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14088]),
    [iquote('0:Rew:1.0,14088.0')] ).

cnf(14096,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14089]),
    [iquote('0:Rew:1.0,14089.0')] ).

cnf(16511,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16508]),
    [iquote('0:Rew:1.0,16508.0')] ).

cnf(14074,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14066]),
    [iquote('0:Rew:1.0,14066.0')] ).

cnf(14050,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14044]),
    [iquote('0:Rew:1.0,14044.0')] ).

cnf(14041,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14031]),
    [iquote('0:Rew:1.0,14031.0')] ).

cnf(14039,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14032]),
    [iquote('0:Rew:1.0,14032.0')] ).

cnf(16228,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16222]),
    [iquote('0:Rew:1.0,16222.0')] ).

cnf(14019,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14013]),
    [iquote('0:Rew:1.0,14013.0')] ).

cnf(14010,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14000]),
    [iquote('0:Rew:1.0,14000.0')] ).

cnf(14008,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14001]),
    [iquote('0:Rew:1.0,14001.0')] ).

cnf(13997,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13987]),
    [iquote('0:Rew:1.0,13987.0')] ).

cnf(16167,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,16161]),
    [iquote('0:Rew:1.0,16161.0')] ).

cnf(13995,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13988]),
    [iquote('0:Rew:1.0,13988.0')] ).

cnf(13982,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13974]),
    [iquote('0:Rew:1.0,13974.0')] ).

cnf(13962,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13952]),
    [iquote('0:Rew:1.0,13952.0')] ).

cnf(13960,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13953]),
    [iquote('0:Rew:1.0,13953.0')] ).

cnf(15996,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15986]),
    [iquote('0:Rew:1.0,15986.0')] ).

cnf(13947,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13939]),
    [iquote('0:Rew:1.0,13939.0')] ).

cnf(13936,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13926]),
    [iquote('0:Rew:1.0,13926.0')] ).

cnf(13934,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13927]),
    [iquote('0:Rew:1.0,13927.0')] ).

cnf(13923,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13913]),
    [iquote('0:Rew:1.0,13913.0')] ).

cnf(15994,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15987]),
    [iquote('0:Rew:1.0,15987.0')] ).

cnf(13921,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13914]),
    [iquote('0:Rew:1.0,13914.0')] ).

cnf(13901,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13891]),
    [iquote('0:Rew:1.0,13891.0')] ).

cnf(13899,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13892]),
    [iquote('0:Rew:1.0,13892.0')] ).

cnf(13886,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13878]),
    [iquote('0:Rew:1.0,13878.0')] ).

cnf(15927,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15917]),
    [iquote('0:Rew:1.0,15917.0')] ).

cnf(13875,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13865]),
    [iquote('0:Rew:1.0,13865.0')] ).

cnf(13873,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13866]),
    [iquote('0:Rew:1.0,13866.0')] ).

cnf(13860,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13852]),
    [iquote('0:Rew:1.0,13852.0')] ).

cnf(13836,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13826]),
    [iquote('0:Rew:1.0,13826.0')] ).

cnf(15925,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15918]),
    [iquote('0:Rew:1.0,15918.0')] ).

cnf(13834,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13827]),
    [iquote('0:Rew:1.0,13827.0')] ).

cnf(13823,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13813]),
    [iquote('0:Rew:1.0,13813.0')] ).

cnf(13821,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13814]),
    [iquote('0:Rew:1.0,13814.0')] ).

cnf(13808,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13801]),
    [iquote('0:Rew:1.0,13801.0')] ).

cnf(15500,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15493]),
    [iquote('0:Rew:1.0,15493.0')] ).

cnf(13797,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13787]),
    [iquote('0:Rew:1.0,13787.0')] ).

cnf(13795,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13788]),
    [iquote('0:Rew:1.0,13788.0')] ).

cnf(13775,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13765]),
    [iquote('0:Rew:1.0,13765.0')] ).

cnf(13773,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13766]),
    [iquote('0:Rew:1.0,13766.0')] ).

cnf(15313,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15306]),
    [iquote('0:Rew:1.0,15306.0')] ).

cnf(13762,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13752]),
    [iquote('0:Rew:1.0,13752.0')] ).

cnf(13760,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13753]),
    [iquote('0:Rew:1.0,13753.0')] ).

cnf(13747,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13740]),
    [iquote('0:Rew:1.0,13740.0')] ).

cnf(13736,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13726]),
    [iquote('0:Rew:1.0,13726.0')] ).

cnf(15248,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15241]),
    [iquote('0:Rew:1.0,15241.0')] ).

cnf(13734,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13727]),
    [iquote('0:Rew:1.0,13727.0')] ).

cnf(13708,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13701]),
    [iquote('0:Rew:1.0,13701.0')] ).

cnf(13695,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13687]),
    [iquote('0:Rew:1.0,13687.0')] ).

cnf(13684,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13678]),
    [iquote('0:Rew:1.0,13678.0')] ).

cnf(15183,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15176]),
    [iquote('0:Rew:1.0,15176.0')] ).

cnf(13645,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13635]),
    [iquote('0:Rew:1.0,13635.0')] ).

cnf(13643,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13636]),
    [iquote('0:Rew:1.0,13636.0')] ).

cnf(13621,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13615]),
    [iquote('0:Rew:1.0,13615.0')] ).

cnf(13610,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13600]),
    [iquote('0:Rew:1.0,13600.0')] ).

cnf(15870,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15864]),
    [iquote('0:Rew:1.0,15864.0')] ).

cnf(13608,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13601]),
    [iquote('0:Rew:1.0,13601.0')] ).

cnf(13588,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13582]),
    [iquote('0:Rew:1.0,13582.0')] ).

cnf(13579,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13569]),
    [iquote('0:Rew:1.0,13569.0')] ).

cnf(13577,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13570]),
    [iquote('0:Rew:1.0,13570.0')] ).

cnf(15815,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15812]),
    [iquote('0:Rew:1.0,15812.0')] ).

cnf(13553,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13543]),
    [iquote('0:Rew:1.0,13543.0')] ).

cnf(13551,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13544]),
    [iquote('0:Rew:1.0,13544.0')] ).

cnf(13514,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13509]),
    [iquote('0:Rew:1.0,13509.0')] ).

cnf(13505,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13500]),
    [iquote('0:Rew:1.0,13500.0')] ).

cnf(15695,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15685]),
    [iquote('0:Rew:1.0,15685.0')] ).

cnf(13496,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13491]),
    [iquote('0:Rew:1.0,13491.0')] ).

cnf(13474,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13469]),
    [iquote('0:Rew:1.0,13469.0')] ).

cnf(13465,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13458]),
    [iquote('0:Rew:1.0,13458.0')] ).

cnf(13443,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13436]),
    [iquote('0:Rew:1.0,13436.0')] ).

cnf(15630,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15620]),
    [iquote('0:Rew:1.0,15620.0')] ).

cnf(13408,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13401]),
    [iquote('0:Rew:1.0,13401.0')] ).

cnf(13386,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13379]),
    [iquote('0:Rew:1.0,13379.0')] ).

cnf(13342,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13335]),
    [iquote('0:Rew:1.0,13335.0')] ).

cnf(13299,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13292]),
    [iquote('0:Rew:1.0,13292.0')] ).

cnf(15246,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15238]),
    [iquote('0:Rew:1.0,15238.0')] ).

cnf(13273,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13266]),
    [iquote('0:Rew:1.0,13266.0')] ).

cnf(13234,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13227]),
    [iquote('0:Rew:1.0,13227.0')] ).

cnf(13208,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13201]),
    [iquote('0:Rew:1.0,13201.0')] ).

cnf(13095,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13088]),
    [iquote('0:Rew:1.0,13088.0')] ).

cnf(15181,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15173]),
    [iquote('0:Rew:1.0,15173.0')] ).

cnf(13060,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13053]),
    [iquote('0:Rew:1.0,13053.0')] ).

cnf(13038,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13031]),
    [iquote('0:Rew:1.0,13031.0')] ).

cnf(13025,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13018]),
    [iquote('0:Rew:1.0,13018.0')] ).

cnf(13012,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13005]),
    [iquote('0:Rew:1.0,13005.0')] ).

cnf(15118,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15108]),
    [iquote('0:Rew:1.0,15108.0')] ).

cnf(12999,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12992]),
    [iquote('0:Rew:1.0,12992.0')] ).

cnf(12968,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12961]),
    [iquote('0:Rew:1.0,12961.0')] ).

cnf(12955,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12948]),
    [iquote('0:Rew:1.0,12948.0')] ).

cnf(12942,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12935]),
    [iquote('0:Rew:1.0,12935.0')] ).

cnf(15116,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15109]),
    [iquote('0:Rew:1.0,15109.0')] ).

cnf(12912,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12905]),
    [iquote('0:Rew:1.0,12905.0')] ).

cnf(12899,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12892]),
    [iquote('0:Rew:1.0,12892.0')] ).

cnf(12859,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12852]),
    [iquote('0:Rew:1.0,12852.0')] ).

cnf(12846,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12839]),
    [iquote('0:Rew:1.0,12839.0')] ).

cnf(15053,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15043]),
    [iquote('0:Rew:1.0,15043.0')] ).

cnf(12833,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12826]),
    [iquote('0:Rew:1.0,12826.0')] ).

cnf(12820,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12813]),
    [iquote('0:Rew:1.0,12813.0')] ).

cnf(12794,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12787]),
    [iquote('0:Rew:1.0,12787.0')] ).

cnf(12772,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12765]),
    [iquote('0:Rew:1.0,12765.0')] ).

cnf(15051,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,15044]),
    [iquote('0:Rew:1.0,15044.0')] ).

cnf(12732,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12725]),
    [iquote('0:Rew:1.0,12725.0')] ).

cnf(12719,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12712]),
    [iquote('0:Rew:1.0,12712.0')] ).

cnf(12706,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12699]),
    [iquote('0:Rew:1.0,12699.0')] ).

cnf(12680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12673]),
    [iquote('0:Rew:1.0,12673.0')] ).

cnf(14874,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14867]),
    [iquote('0:Rew:1.0,14867.0')] ).

cnf(12667,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12660]),
    [iquote('0:Rew:1.0,12660.0')] ).

cnf(12645,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12638]),
    [iquote('0:Rew:1.0,12638.0')] ).

cnf(12566,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12557]),
    [iquote('0:Rew:1.0,12557.0')] ).

cnf(12540,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12533]),
    [iquote('0:Rew:1.0,12533.0')] ).

cnf(14809,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14802]),
    [iquote('0:Rew:1.0,14802.0')] ).

cnf(12505,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12498]),
    [iquote('0:Rew:1.0,12498.0')] ).

cnf(12492,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12485]),
    [iquote('0:Rew:1.0,12485.0')] ).

cnf(12470,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12463]),
    [iquote('0:Rew:1.0,12463.0')] ).

cnf(12417,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12408]),
    [iquote('0:Rew:1.0,12408.0')] ).

cnf(14872,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14864]),
    [iquote('0:Rew:1.0,14864.0')] ).

cnf(12378,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12371]),
    [iquote('0:Rew:1.0,12371.0')] ).

cnf(12356,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12349]),
    [iquote('0:Rew:1.0,12349.0')] ).

cnf(12330,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12323]),
    [iquote('0:Rew:1.0,12323.0')] ).

cnf(12308,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12301]),
    [iquote('0:Rew:1.0,12301.0')] ).

cnf(14807,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14799]),
    [iquote('0:Rew:1.0,14799.0')] ).

cnf(12255,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12246]),
    [iquote('0:Rew:1.0,12246.0')] ).

cnf(12212,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12205]),
    [iquote('0:Rew:1.0,12205.0')] ).

cnf(12199,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12192]),
    [iquote('0:Rew:1.0,12192.0')] ).

cnf(12177,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12170]),
    [iquote('0:Rew:1.0,12170.0')] ).

cnf(13849,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13842]),
    [iquote('0:Rew:1.0,13842.0')] ).

cnf(12151,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12144]),
    [iquote('0:Rew:1.0,12144.0')] ).

cnf(11976,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11967]),
    [iquote('0:Rew:1.0,11967.0')] ).

cnf(11950,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11943]),
    [iquote('0:Rew:1.0,11943.0')] ).

cnf(11937,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11930]),
    [iquote('0:Rew:1.0,11930.0')] ).

cnf(13723,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13716]),
    [iquote('0:Rew:1.0,13716.0')] ).

cnf(11906,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11899]),
    [iquote('0:Rew:1.0,11899.0')] ).

cnf(11893,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11886]),
    [iquote('0:Rew:1.0,11886.0')] ).

cnf(11805,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11798]),
    [iquote('0:Rew:1.0,11798.0')] ).

cnf(11792,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11785]),
    [iquote('0:Rew:1.0,11785.0')] ).

cnf(14209,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14206]),
    [iquote('0:Rew:1.0,14206.0')] ).

cnf(11779,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11772]),
    [iquote('0:Rew:1.0,11772.0')] ).

cnf(11766,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11759]),
    [iquote('0:Rew:1.0,11759.0')] ).

cnf(11740,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11733]),
    [iquote('0:Rew:1.0,11733.0')] ).

cnf(11238,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11231]),
    [iquote('0:Rew:1.0,11231.0')] ).

cnf(14150,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14140]),
    [iquote('0:Rew:1.0,14140.0')] ).

cnf(11225,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11218]),
    [iquote('0:Rew:1.0,11218.0')] ).

cnf(11172,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11165]),
    [iquote('0:Rew:1.0,11165.0')] ).

cnf(11146,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11139]),
    [iquote('0:Rew:1.0,11139.0')] ).

cnf(10108,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10101]),
    [iquote('0:Rew:1.0,10101.0')] ).

cnf(14083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14080]),
    [iquote('0:Rew:1.0,14080.0')] ).

cnf(10095,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10088]),
    [iquote('0:Rew:1.0,10088.0')] ).

cnf(10082,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10075]),
    [iquote('0:Rew:1.0,10075.0')] ).

cnf(10069,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10062]),
    [iquote('0:Rew:1.0,10062.0')] ).

cnf(10025,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10016]),
    [iquote('0:Rew:1.0,10016.0')] ).

cnf(14026,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14023]),
    [iquote('0:Rew:1.0,14023.0')] ).

cnf(9986,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9977]),
    [iquote('0:Rew:1.0,9977.0')] ).

cnf(9921,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9914]),
    [iquote('0:Rew:1.0,9914.0')] ).

cnf(9908,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9901]),
    [iquote('0:Rew:1.0,9901.0')] ).

cnf(9895,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9886]),
    [iquote('0:Rew:1.0,9886.0')] ).

cnf(13969,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13966]),
    [iquote('0:Rew:1.0,13966.0')] ).

cnf(9856,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9847]),
    [iquote('0:Rew:1.0,9847.0')] ).

cnf(9795,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9788]),
    [iquote('0:Rew:1.0,9788.0')] ).

cnf(9773,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9766]),
    [iquote('0:Rew:1.0,9766.0')] ).

cnf(9715,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9708]),
    [iquote('0:Rew:1.0,9708.0')] ).

cnf(13847,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13839]),
    [iquote('0:Rew:1.0,13839.0')] ).

cnf(9685,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9676]),
    [iquote('0:Rew:1.0,9676.0')] ).

cnf(9659,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9652]),
    [iquote('0:Rew:1.0,9652.0')] ).

cnf(9616,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9609]),
    [iquote('0:Rew:1.0,9609.0')] ).

cnf(9581,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9572]),
    [iquote('0:Rew:1.0,9572.0')] ).

cnf(13660,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13649]),
    [iquote('0:Rew:1.0,13649.0')] ).

cnf(9551,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9546]),
    [iquote('0:Rew:1.0,9546.0')] ).

cnf(9130,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9123]),
    [iquote('0:Rew:1.0,9123.0')] ).

cnf(9099,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9092]),
    [iquote('0:Rew:1.0,9092.0')] ).

cnf(9081,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9074]),
    [iquote('0:Rew:1.0,9074.0')] ).

cnf(13658,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13652]),
    [iquote('0:Rew:1.0,13652.0')] ).

cnf(9050,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9043]),
    [iquote('0:Rew:1.0,9043.0')] ).

cnf(8794,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8789]),
    [iquote('0:Rew:1.0,8789.0')] ).

cnf(8776,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8771]),
    [iquote('0:Rew:1.0,8771.0')] ).

cnf(8749,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8740]),
    [iquote('0:Rew:1.0,8740.0')] ).

cnf(13529,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13519]),
    [iquote('0:Rew:1.0,13519.0')] ).

cnf(8732,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8723]),
    [iquote('0:Rew:1.0,8723.0')] ).

cnf(8680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8675]),
    [iquote('0:Rew:1.0,8675.0')] ).

cnf(8662,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8657]),
    [iquote('0:Rew:1.0,8657.0')] ).

cnf(8635,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8626]),
    [iquote('0:Rew:1.0,8626.0')] ).

cnf(13527,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13520]),
    [iquote('0:Rew:1.0,13520.0')] ).

cnf(8618,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8609]),
    [iquote('0:Rew:1.0,8609.0')] ).

cnf(8496,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8487]),
    [iquote('0:Rew:1.0,8487.0')] ).

cnf(8443,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8434]),
    [iquote('0:Rew:1.0,8434.0')] ).

cnf(8329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8322]),
    [iquote('0:Rew:1.0,8322.0')] ).

cnf(12886,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12881]),
    [iquote('0:Rew:1.0,12881.0')] ).

cnf(8307,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8300]),
    [iquote('0:Rew:1.0,8300.0')] ).

cnf(8267,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8258]),
    [iquote('0:Rew:1.0,8258.0')] ).

cnf(8206,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8197]),
    [iquote('0:Rew:1.0,8197.0')] ).

cnf(8096,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8089]),
    [iquote('0:Rew:1.0,8089.0')] ).

cnf(12759,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12754]),
    [iquote('0:Rew:1.0,12754.0')] ).

cnf(8061,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8054]),
    [iquote('0:Rew:1.0,8054.0')] ).

cnf(7981,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7974]),
    [iquote('0:Rew:1.0,7974.0')] ).

cnf(7950,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7943]),
    [iquote('0:Rew:1.0,7943.0')] ).

cnf(7784,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7779]),
    [iquote('0:Rew:1.0,7779.0')] ).

cnf(12072,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12065]),
    [iquote('0:Rew:1.0,12065.0')] ).

cnf(7735,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7726]),
    [iquote('0:Rew:1.0,7726.0')] ).

cnf(7718,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7709]),
    [iquote('0:Rew:1.0,7709.0')] ).

cnf(7688,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7679]),
    [iquote('0:Rew:1.0,7679.0')] ).

cnf(7631,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7624]),
    [iquote('0:Rew:1.0,7624.0')] ).

cnf(12037,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12030]),
    [iquote('0:Rew:1.0,12030.0')] ).

cnf(7574,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7567]),
    [iquote('0:Rew:1.0,7567.0')] ).

cnf(7477,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7468]),
    [iquote('0:Rew:1.0,7468.0')] ).

cnf(7442,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7435]),
    [iquote('0:Rew:1.0,7435.0')] ).

cnf(7420,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7409]),
    [iquote('0:Rew:1.0,7409.0')] ).

cnf(13597,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13591]),
    [iquote('0:Rew:1.0,13591.0')] ).

cnf(7372,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7361]),
    [iquote('0:Rew:1.0,7361.0')] ).

cnf(7355,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7344]),
    [iquote('0:Rew:1.0,7344.0')] ).

cnf(7338,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7327]),
    [iquote('0:Rew:1.0,7327.0')] ).

cnf(7312,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7305]),
    [iquote('0:Rew:1.0,7305.0')] ).

cnf(13540,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(s(o)))),e2(o,s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13534]),
    [iquote('0:Rew:1.0,13534.0')] ).

cnf(7299,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7288]),
    [iquote('0:Rew:1.0,7288.0')] ).

cnf(7282,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7271]),
    [iquote('0:Rew:1.0,7271.0')] ).

cnf(7265,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7258]),
    [iquote('0:Rew:1.0,7258.0')] ).

cnf(7239,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7228]),
    [iquote('0:Rew:1.0,7228.0')] ).

cnf(12518,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12511]),
    [iquote('0:Rew:1.0,12511.0')] ).

cnf(7222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7211]),
    [iquote('0:Rew:1.0,7211.0')] ).

cnf(7205,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7198]),
    [iquote('0:Rew:1.0,7198.0')] ).

cnf(7192,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7181]),
    [iquote('0:Rew:1.0,7181.0')] ).

cnf(7166,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7155]),
    [iquote('0:Rew:1.0,7155.0')] ).

cnf(12457,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12450]),
    [iquote('0:Rew:1.0,12450.0')] ).

cnf(7149,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7142]),
    [iquote('0:Rew:1.0,7142.0')] ).

cnf(7136,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7125]),
    [iquote('0:Rew:1.0,7125.0')] ).

cnf(7119,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7108]),
    [iquote('0:Rew:1.0,7108.0')] ).

cnf(7089,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7082]),
    [iquote('0:Rew:1.0,7082.0')] ).

cnf(13483,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13481]),
    [iquote('0:Rew:1.0,13481.0')] ).

cnf(7076,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7069]),
    [iquote('0:Rew:1.0,7069.0')] ).

cnf(7063,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7056]),
    [iquote('0:Rew:1.0,7056.0')] ).

cnf(7050,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7043]),
    [iquote('0:Rew:1.0,7043.0')] ).

cnf(7028,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7021]),
    [iquote('0:Rew:1.0,7021.0')] ).

cnf(13426,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13424]),
    [iquote('0:Rew:1.0,13424.0')] ).

cnf(7015,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7008]),
    [iquote('0:Rew:1.0,7008.0')] ).

cnf(7002,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6995]),
    [iquote('0:Rew:1.0,6995.0')] ).

cnf(6989,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6982]),
    [iquote('0:Rew:1.0,6982.0')] ).

cnf(6963,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6956]),
    [iquote('0:Rew:1.0,6956.0')] ).

cnf(13369,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13367]),
    [iquote('0:Rew:1.0,13367.0')] ).

cnf(6950,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6943]),
    [iquote('0:Rew:1.0,6943.0')] ).

cnf(6937,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6930]),
    [iquote('0:Rew:1.0,6930.0')] ).

cnf(6924,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6917]),
    [iquote('0:Rew:1.0,6917.0')] ).

cnf(6898,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6891]),
    [iquote('0:Rew:1.0,6891.0')] ).

cnf(13243,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13241]),
    [iquote('0:Rew:1.0,13241.0')] ).

cnf(6885,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6876]),
    [iquote('0:Rew:1.0,6876.0')] ).

cnf(6872,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6865]),
    [iquote('0:Rew:1.0,6865.0')] ).

cnf(6859,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6850]),
    [iquote('0:Rew:1.0,6850.0')] ).

cnf(6833,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6826]),
    [iquote('0:Rew:1.0,6826.0')] ).

cnf(12929,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12915]),
    [iquote('0:Rew:1.0,12915.0')] ).

cnf(6820,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6811]),
    [iquote('0:Rew:1.0,6811.0')] ).

cnf(6807,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6800]),
    [iquote('0:Rew:1.0,6800.0')] ).

cnf(6794,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6785]),
    [iquote('0:Rew:1.0,6785.0')] ).

cnf(6768,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6761]),
    [iquote('0:Rew:1.0,6761.0')] ).

cnf(12927,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12917]),
    [iquote('0:Rew:1.0,12917.0')] ).

cnf(6755,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6744]),
    [iquote('0:Rew:1.0,6744.0')] ).

cnf(6695,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6688]),
    [iquote('0:Rew:1.0,6688.0')] ).

cnf(6682,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6675]),
    [iquote('0:Rew:1.0,6675.0')] ).

cnf(6669,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6662]),
    [iquote('0:Rew:1.0,6662.0')] ).

cnf(12923,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12921]),
    [iquote('0:Rew:1.0,12921.0')] ).

cnf(6656,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6649]),
    [iquote('0:Rew:1.0,6649.0')] ).

cnf(6630,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6623]),
    [iquote('0:Rew:1.0,6623.0')] ).

cnf(14340,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14336]),
    [iquote('0:Rew:1.0,14336.0')] ).

cnf(14329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14327]),
    [iquote('0:Rew:1.0,14327.0')] ).

cnf(12803,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12800]),
    [iquote('0:Rew:1.0,12800.0')] ).

cnf(6617,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6610]),
    [iquote('0:Rew:1.0,6610.0')] ).

cnf(6543,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6536]),
    [iquote('0:Rew:1.0,6536.0')] ).

cnf(14283,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14279]),
    [iquote('0:Rew:1.0,14279.0')] ).

cnf(14272,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,14270]),
    [iquote('0:Rew:1.0,14270.0')] ).

cnf(12691,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12684]),
    [iquote('0:Rew:1.0,12684.0')] ).

cnf(6530,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6523]),
    [iquote('0:Rew:1.0,6523.0')] ).

cnf(6500,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6493]),
    [iquote('0:Rew:1.0,6493.0')] ).

cnf(6487,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6480]),
    [iquote('0:Rew:1.0,6480.0')] ).

cnf(6474,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6467]),
    [iquote('0:Rew:1.0,6467.0')] ).

cnf(12632,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12622]),
    [iquote('0:Rew:1.0,12622.0')] ).

cnf(6461,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6454]),
    [iquote('0:Rew:1.0,6454.0')] ).

cnf(6409,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6398]),
    [iquote('0:Rew:1.0,6398.0')] ).

cnf(6392,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6385]),
    [iquote('0:Rew:1.0,6385.0')] ).

cnf(6370,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6359]),
    [iquote('0:Rew:1.0,6359.0')] ).

cnf(12628,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12626]),
    [iquote('0:Rew:1.0,12626.0')] ).

cnf(6353,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6342]),
    [iquote('0:Rew:1.0,6342.0')] ).

cnf(6198,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6191]),
    [iquote('0:Rew:1.0,6191.0')] ).

cnf(6059,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6052]),
    [iquote('0:Rew:1.0,6052.0')] ).

cnf(6037,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6030]),
    [iquote('0:Rew:1.0,6030.0')] ).

cnf(12579,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12569]),
    [iquote('0:Rew:1.0,12569.0')] ).

cnf(6024,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6013]),
    [iquote('0:Rew:1.0,6013.0')] ).

cnf(6007,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5996]),
    [iquote('0:Rew:1.0,5996.0')] ).

cnf(5990,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5983]),
    [iquote('0:Rew:1.0,5983.0')] ).

cnf(5964,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5957]),
    [iquote('0:Rew:1.0,5957.0')] ).

cnf(12516,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12508]),
    [iquote('0:Rew:1.0,12508.0')] ).

cnf(5951,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5944]),
    [iquote('0:Rew:1.0,5944.0')] ).

cnf(5938,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5931]),
    [iquote('0:Rew:1.0,5931.0')] ).

cnf(5925,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5918]),
    [iquote('0:Rew:1.0,5918.0')] ).

cnf(5903,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5896]),
    [iquote('0:Rew:1.0,5896.0')] ).

cnf(12455,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12447]),
    [iquote('0:Rew:1.0,12447.0')] ).

cnf(5890,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5883]),
    [iquote('0:Rew:1.0,5883.0')] ).

cnf(5877,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5870]),
    [iquote('0:Rew:1.0,5870.0')] ).

cnf(5864,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5857]),
    [iquote('0:Rew:1.0,5857.0')] ).

cnf(5834,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5827]),
    [iquote('0:Rew:1.0,5827.0')] ).

cnf(12400,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12390]),
    [iquote('0:Rew:1.0,12390.0')] ).

cnf(5821,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5814]),
    [iquote('0:Rew:1.0,5814.0')] ).

cnf(5808,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5799]),
    [iquote('0:Rew:1.0,5799.0')] ).

cnf(5795,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5788]),
    [iquote('0:Rew:1.0,5788.0')] ).

cnf(5773,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5764]),
    [iquote('0:Rew:1.0,5764.0')] ).

cnf(12398,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12391]),
    [iquote('0:Rew:1.0,12391.0')] ).

cnf(5747,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5740]),
    [iquote('0:Rew:1.0,5740.0')] ).

cnf(5734,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5727]),
    [iquote('0:Rew:1.0,5727.0')] ).

cnf(5704,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5697]),
    [iquote('0:Rew:1.0,5697.0')] ).

cnf(5691,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5684]),
    [iquote('0:Rew:1.0,5684.0')] ).

cnf(12343,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12333]),
    [iquote('0:Rew:1.0,12333.0')] ).

cnf(5678,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5671]),
    [iquote('0:Rew:1.0,5671.0')] ).

cnf(5665,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5658]),
    [iquote('0:Rew:1.0,5658.0')] ).

cnf(5630,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5623]),
    [iquote('0:Rew:1.0,5623.0')] ).

cnf(5617,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5610]),
    [iquote('0:Rew:1.0,5610.0')] ).

cnf(12341,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12334]),
    [iquote('0:Rew:1.0,12334.0')] ).

cnf(5452,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5447]),
    [iquote('0:Rew:1.0,5447.0')] ).

cnf(5443,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5436]),
    [iquote('0:Rew:1.0,5436.0')] ).

cnf(806,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,799]),
    [iquote('0:Rew:1.0,799.0')] ).

cnf(793,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,786]),
    [iquote('0:Rew:1.0,786.0')] ).

cnf(11124,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11115]),
    [iquote('0:Rew:1.0,11115.0')] ).

cnf(780,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,773]),
    [iquote('0:Rew:1.0,773.0')] ).

cnf(767,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,760]),
    [iquote('0:Rew:1.0,760.0')] ).

cnf(745,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,738]),
    [iquote('0:Rew:1.0,738.0')] ).

cnf(727,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,720]),
    [iquote('0:Rew:1.0,720.0')] ).

cnf(11818,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11811]),
    [iquote('0:Rew:1.0,11811.0')] ).

cnf(687,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,680]),
    [iquote('0:Rew:1.0,680.0')] ).

cnf(665,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,658]),
    [iquote('0:Rew:1.0,658.0')] ).

cnf(625,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,618]),
    [iquote('0:Rew:1.0,618.0')] ).

cnf(590,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,583]),
    [iquote('0:Rew:1.0,583.0')] ).

cnf(11753,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(o))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(s(o)))),e2(s(o),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11746]),
    [iquote('0:Rew:1.0,11746.0')] ).

cnf(577,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,568]),
    [iquote('0:Rew:1.0,568.0')] ).

cnf(13452,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13446]),
    [iquote('0:Rew:1.0,13446.0')] ).

cnf(13417,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13411]),
    [iquote('0:Rew:1.0,13411.0')] ).

cnf(13395,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13389]),
    [iquote('0:Rew:1.0,13389.0')] ).

cnf(12227,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12217]),
    [iquote('0:Rew:1.0,12217.0')] ).

cnf(13360,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13354]),
    [iquote('0:Rew:1.0,13354.0')] ).

cnf(13329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13319]),
    [iquote('0:Rew:1.0,13319.0')] ).

cnf(13327,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13321]),
    [iquote('0:Rew:1.0,13321.0')] ).

cnf(13286,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13276]),
    [iquote('0:Rew:1.0,13276.0')] ).

cnf(12223,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12221]),
    [iquote('0:Rew:1.0,12221.0')] ).

cnf(13284,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13278]),
    [iquote('0:Rew:1.0,13278.0')] ).

cnf(13260,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13250]),
    [iquote('0:Rew:1.0,13250.0')] ).

cnf(13256,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13254]),
    [iquote('0:Rew:1.0,13254.0')] ).

cnf(13221,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13211]),
    [iquote('0:Rew:1.0,13211.0')] ).

cnf(12111,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12104]),
    [iquote('0:Rew:1.0,12104.0')] ).

cnf(13217,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13215]),
    [iquote('0:Rew:1.0,13215.0')] ).

cnf(13195,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13189]),
    [iquote('0:Rew:1.0,13189.0')] ).

cnf(13181,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13175]),
    [iquote('0:Rew:1.0,13175.0')] ).

cnf(13170,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13168]),
    [iquote('0:Rew:1.0,13168.0')] ).

cnf(12048,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12041]),
    [iquote('0:Rew:1.0,12041.0')] ).

cnf(13163,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13157]),
    [iquote('0:Rew:1.0,13157.0')] ).

cnf(13152,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13150]),
    [iquote('0:Rew:1.0,13150.0')] ).

cnf(13140,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13134]),
    [iquote('0:Rew:1.0,13134.0')] ).

cnf(13129,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13127]),
    [iquote('0:Rew:1.0,13127.0')] ).

cnf(11991,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11980]),
    [iquote('0:Rew:1.0,11980.0')] ).

cnf(13122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13116]),
    [iquote('0:Rew:1.0,13116.0')] ).

cnf(13111,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13109]),
    [iquote('0:Rew:1.0,13109.0')] ).

cnf(13082,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13072]),
    [iquote('0:Rew:1.0,13072.0')] ).

cnf(13080,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,13074]),
    [iquote('0:Rew:1.0,13074.0')] ).

cnf(11816,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11808]),
    [iquote('0:Rew:1.0,11808.0')] ).

cnf(12975,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12973]),
    [iquote('0:Rew:1.0,12973.0')] ).

cnf(12966,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12958]),
    [iquote('0:Rew:1.0,12958.0')] ).

cnf(12875,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12873]),
    [iquote('0:Rew:1.0,12873.0')] ).

cnf(12857,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12849]),
    [iquote('0:Rew:1.0,12849.0')] ).

cnf(11751,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11743]),
    [iquote('0:Rew:1.0,11743.0')] ).

cnf(12779,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12777]),
    [iquote('0:Rew:1.0,12777.0')] ).

cnf(12770,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12762]),
    [iquote('0:Rew:1.0,12762.0')] ).

cnf(12652,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12650]),
    [iquote('0:Rew:1.0,12650.0')] ).

cnf(12643,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12635]),
    [iquote('0:Rew:1.0,12635.0')] ).

cnf(12109,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12107]),
    [iquote('0:Rew:1.0,12107.0')] ).

cnf(12619,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12613]),
    [iquote('0:Rew:1.0,12613.0')] ).

cnf(12608,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12606]),
    [iquote('0:Rew:1.0,12606.0')] ).

cnf(12592,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12582]),
    [iquote('0:Rew:1.0,12582.0')] ).

cnf(12549,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12543]),
    [iquote('0:Rew:1.0,12543.0')] ).

cnf(11987,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11985]),
    [iquote('0:Rew:1.0,11985.0')] ).

cnf(12527,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12521]),
    [iquote('0:Rew:1.0,12521.0')] ).

cnf(12503,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12495]),
    [iquote('0:Rew:1.0,12495.0')] ).

cnf(12479,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12473]),
    [iquote('0:Rew:1.0,12473.0')] ).

cnf(12468,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12460]),
    [iquote('0:Rew:1.0,12460.0')] ).

cnf(11682,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11674]),
    [iquote('0:Rew:1.0,11674.0')] ).

cnf(12430,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12420]),
    [iquote('0:Rew:1.0,12420.0')] ).

cnf(12428,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12422]),
    [iquote('0:Rew:1.0,12422.0')] ).

cnf(12365,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12359]),
    [iquote('0:Rew:1.0,12359.0')] ).

cnf(12354,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12346]),
    [iquote('0:Rew:1.0,12346.0')] ).

cnf(11680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11676]),
    [iquote('0:Rew:1.0,11676.0')] ).

cnf(12317,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12311]),
    [iquote('0:Rew:1.0,12311.0')] ).

cnf(12306,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12298]),
    [iquote('0:Rew:1.0,12298.0')] ).

cnf(12284,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12276]),
    [iquote('0:Rew:1.0,12276.0')] ).

cnf(12268,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12258]),
    [iquote('0:Rew:1.0,12258.0')] ).

cnf(11562,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11548]),
    [iquote('0:Rew:1.0,11548.0')] ).

cnf(12266,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12260]),
    [iquote('0:Rew:1.0,12260.0')] ).

cnf(12197,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12189]),
    [iquote('0:Rew:1.0,12189.0')] ).

cnf(12186,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12180]),
    [iquote('0:Rew:1.0,12180.0')] ).

cnf(12149,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12141]),
    [iquote('0:Rew:1.0,12141.0')] ).

cnf(11560,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11550]),
    [iquote('0:Rew:1.0,11550.0')] ).

cnf(12138,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12132]),
    [iquote('0:Rew:1.0,12132.0')] ).

cnf(12098,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12088]),
    [iquote('0:Rew:1.0,12088.0')] ).

cnf(12094,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12092]),
    [iquote('0:Rew:1.0,12092.0')] ).

cnf(12083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,12075]),
    [iquote('0:Rew:1.0,12075.0')] ).

cnf(11444,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11430]),
    [iquote('0:Rew:1.0,11430.0')] ).

cnf(12006,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11996]),
    [iquote('0:Rew:1.0,11996.0')] ).

cnf(11959,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11953]),
    [iquote('0:Rew:1.0,11953.0')] ).

cnf(11935,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11927]),
    [iquote('0:Rew:1.0,11927.0')] ).

cnf(11915,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11909]),
    [iquote('0:Rew:1.0,11909.0')] ).

cnf(11440,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11434]),
    [iquote('0:Rew:1.0,11434.0')] ).

cnf(11891,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11883]),
    [iquote('0:Rew:1.0,11883.0')] ).

cnf(11880,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11874]),
    [iquote('0:Rew:1.0,11874.0')] ).

cnf(11840,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11830]),
    [iquote('0:Rew:1.0,11830.0')] ).

cnf(11836,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11834]),
    [iquote('0:Rew:1.0,11834.0')] ).

cnf(11381,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11378]),
    [iquote('0:Rew:1.0,11378.0')] ).

cnf(11825,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11823]),
    [iquote('0:Rew:1.0,11823.0')] ).

cnf(11803,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11795]),
    [iquote('0:Rew:1.0,11795.0')] ).

cnf(11727,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11717]),
    [iquote('0:Rew:1.0,11717.0')] ).

cnf(11725,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11719]),
    [iquote('0:Rew:1.0,11719.0')] ).

cnf(11312,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11309]),
    [iquote('0:Rew:1.0,11309.0')] ).

cnf(11714,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11704]),
    [iquote('0:Rew:1.0,11704.0')] ).

cnf(11712,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11706]),
    [iquote('0:Rew:1.0,11706.0')] ).

cnf(11701,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11687]),
    [iquote('0:Rew:1.0,11687.0')] ).

cnf(11699,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11689]),
    [iquote('0:Rew:1.0,11689.0')] ).

cnf(10538,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10533]),
    [iquote('0:Rew:1.0,10533.0')] ).

cnf(11697,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11690]),
    [iquote('0:Rew:1.0,11690.0')] ).

cnf(11671,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11657]),
    [iquote('0:Rew:1.0,11657.0')] ).

cnf(11669,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11659]),
    [iquote('0:Rew:1.0,11659.0')] ).

cnf(11667,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11660]),
    [iquote('0:Rew:1.0,11660.0')] ).

cnf(10503,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10498]),
    [iquote('0:Rew:1.0,10498.0')] ).

cnf(11654,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11648]),
    [iquote('0:Rew:1.0,11648.0')] ).

cnf(11645,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11635]),
    [iquote('0:Rew:1.0,11635.0')] ).

cnf(11643,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11637]),
    [iquote('0:Rew:1.0,11637.0')] ).

cnf(11618,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11608]),
    [iquote('0:Rew:1.0,11608.0')] ).

cnf(10270,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10263]),
    [iquote('0:Rew:1.0,10263.0')] ).

cnf(11616,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11610]),
    [iquote('0:Rew:1.0,11610.0')] ).

cnf(11605,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11591]),
    [iquote('0:Rew:1.0,11591.0')] ).

cnf(11603,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11593]),
    [iquote('0:Rew:1.0,11593.0')] ).

cnf(11601,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11594]),
    [iquote('0:Rew:1.0,11594.0')] ).

cnf(560,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,553]),
    [iquote('0:Rew:1.0,553.0')] ).

cnf(11588,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11574]),
    [iquote('0:Rew:1.0,11574.0')] ).

cnf(11586,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11576]),
    [iquote('0:Rew:1.0,11576.0')] ).

cnf(11584,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11577]),
    [iquote('0:Rew:1.0,11577.0')] ).

cnf(11571,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11565]),
    [iquote('0:Rew:1.0,11565.0')] ).

cnf(11556,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11554]),
    [iquote('0:Rew:1.0,11554.0')] ).

cnf(11545,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11535]),
    [iquote('0:Rew:1.0,11535.0')] ).

cnf(11543,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11537]),
    [iquote('0:Rew:1.0,11537.0')] ).

cnf(11527,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11517]),
    [iquote('0:Rew:1.0,11517.0')] ).

cnf(11525,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11519]),
    [iquote('0:Rew:1.0,11519.0')] ).

cnf(11208,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11204]),
    [iquote('0:Rew:1.0,11204.0')] ).

cnf(11514,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11500]),
    [iquote('0:Rew:1.0,11500.0')] ).

cnf(11512,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11501]),
    [iquote('0:Rew:1.0,11501.0')] ).

cnf(11510,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11504]),
    [iquote('0:Rew:1.0,11504.0')] ).

cnf(11488,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11474]),
    [iquote('0:Rew:1.0,11474.0')] ).

cnf(11159,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11149]),
    [iquote('0:Rew:1.0,11149.0')] ).

cnf(11486,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11475]),
    [iquote('0:Rew:1.0,11475.0')] ).

cnf(11484,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11478]),
    [iquote('0:Rew:1.0,11478.0')] ).

cnf(11471,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11465]),
    [iquote('0:Rew:1.0,11465.0')] ).

cnf(11462,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11452]),
    [iquote('0:Rew:1.0,11452.0')] ).

cnf(11157,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11151]),
    [iquote('0:Rew:1.0,11151.0')] ).

cnf(11460,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11454]),
    [iquote('0:Rew:1.0,11454.0')] ).

cnf(11438,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11436]),
    [iquote('0:Rew:1.0,11436.0')] ).

cnf(11425,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11422]),
    [iquote('0:Rew:1.0,11422.0')] ).

cnf(11418,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11408]),
    [iquote('0:Rew:1.0,11408.0')] ).

cnf(11098,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11088]),
    [iquote('0:Rew:1.0,11088.0')] ).

cnf(11403,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11400]),
    [iquote('0:Rew:1.0,11400.0')] ).

cnf(11396,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11386]),
    [iquote('0:Rew:1.0,11386.0')] ).

cnf(11374,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11364]),
    [iquote('0:Rew:1.0,11364.0')] ).

cnf(11372,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11366]),
    [iquote('0:Rew:1.0,11366.0')] ).

cnf(11094,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11092]),
    [iquote('0:Rew:1.0,11092.0')] ).

cnf(11361,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11351]),
    [iquote('0:Rew:1.0,11351.0')] ).

cnf(11359,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11353]),
    [iquote('0:Rew:1.0,11353.0')] ).

cnf(11348,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11334]),
    [iquote('0:Rew:1.0,11334.0')] ).

cnf(11346,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11335]),
    [iquote('0:Rew:1.0,11335.0')] ).

cnf(11037,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11027]),
    [iquote('0:Rew:1.0,11027.0')] ).

cnf(11344,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11338]),
    [iquote('0:Rew:1.0,11338.0')] ).

cnf(11331,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11317]),
    [iquote('0:Rew:1.0,11317.0')] ).

cnf(11329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11318]),
    [iquote('0:Rew:1.0,11318.0')] ).

cnf(11327,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11321]),
    [iquote('0:Rew:1.0,11321.0')] ).

cnf(10807,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10796]),
    [iquote('0:Rew:1.0,10796.0')] ).

cnf(11305,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11299]),
    [iquote('0:Rew:1.0,11299.0')] ).

cnf(11296,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11286]),
    [iquote('0:Rew:1.0,11286.0')] ).

cnf(11294,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11288]),
    [iquote('0:Rew:1.0,11288.0')] ).

cnf(11251,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11241]),
    [iquote('0:Rew:1.0,11241.0')] ).

cnf(10056,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10049]),
    [iquote('0:Rew:1.0,10049.0')] ).

cnf(11249,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11243]),
    [iquote('0:Rew:1.0,11243.0')] ).

cnf(11223,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11215]),
    [iquote('0:Rew:1.0,11215.0')] ).

cnf(11199,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11193]),
    [iquote('0:Rew:1.0,11193.0')] ).

cnf(11144,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11136]),
    [iquote('0:Rew:1.0,11136.0')] ).

cnf(9999,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9992]),
    [iquote('0:Rew:1.0,9992.0')] ).

cnf(11133,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11127]),
    [iquote('0:Rew:1.0,11127.0')] ).

cnf(11107,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11102]),
    [iquote('0:Rew:1.0,11102.0')] ).

cnf(11085,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11078]),
    [iquote('0:Rew:1.0,11078.0')] ).

cnf(11054,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11045]),
    [iquote('0:Rew:1.0,11045.0')] ).

cnf(11033,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11031]),
    [iquote('0:Rew:1.0,11031.0')] ).

cnf(11024,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11017]),
    [iquote('0:Rew:1.0,11017.0')] ).

cnf(10993,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10986]),
    [iquote('0:Rew:1.0,10986.0')] ).

cnf(10951,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10944]),
    [iquote('0:Rew:1.0,10944.0')] ).

cnf(10936,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10926]),
    [iquote('0:Rew:1.0,10926.0')] ).

cnf(10689,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10681]),
    [iquote('0:Rew:1.0,10681.0')] ).

cnf(10905,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10898]),
    [iquote('0:Rew:1.0,10898.0')] ).

cnf(10857,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10848]),
    [iquote('0:Rew:1.0,10848.0')] ).

cnf(10840,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10833]),
    [iquote('0:Rew:1.0,10833.0')] ).

cnf(10792,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10785]),
    [iquote('0:Rew:1.0,10785.0')] ).

cnf(10687,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10683]),
    [iquote('0:Rew:1.0,10683.0')] ).

cnf(10759,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10752]),
    [iquote('0:Rew:1.0,10752.0')] ).

cnf(10735,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10725]),
    [iquote('0:Rew:1.0,10725.0')] ).

cnf(10713,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10706]),
    [iquote('0:Rew:1.0,10706.0')] ).

cnf(10669,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10660]),
    [iquote('0:Rew:1.0,10660.0')] ).

cnf(10579,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10571]),
    [iquote('0:Rew:1.0,10571.0')] ).

cnf(10652,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10645]),
    [iquote('0:Rew:1.0,10645.0')] ).

cnf(10612,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10605]),
    [iquote('0:Rew:1.0,10605.0')] ).

cnf(10566,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10559]),
    [iquote('0:Rew:1.0,10559.0')] ).

cnf(10551,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10541]),
    [iquote('0:Rew:1.0,10541.0')] ).

cnf(10577,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10573]),
    [iquote('0:Rew:1.0,10573.0')] ).

cnf(10529,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10519]),
    [iquote('0:Rew:1.0,10519.0')] ).

cnf(10525,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10522]),
    [iquote('0:Rew:1.0,10522.0')] ).

cnf(10494,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10484]),
    [iquote('0:Rew:1.0,10484.0')] ).

cnf(10492,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10485]),
    [iquote('0:Rew:1.0,10485.0')] ).

cnf(10054,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10046]),
    [iquote('0:Rew:1.0,10046.0')] ).

cnf(10450,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10445]),
    [iquote('0:Rew:1.0,10445.0')] ).

cnf(10441,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10434]),
    [iquote('0:Rew:1.0,10434.0')] ).

cnf(10401,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10392]),
    [iquote('0:Rew:1.0,10392.0')] ).

cnf(10384,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10377]),
    [iquote('0:Rew:1.0,10377.0')] ).

cnf(9997,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9989]),
    [iquote('0:Rew:1.0,9989.0')] ).

cnf(10340,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10333]),
    [iquote('0:Rew:1.0,10333.0')] ).

cnf(10307,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10300]),
    [iquote('0:Rew:1.0,10300.0')] ).

cnf(10283,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10273]),
    [iquote('0:Rew:1.0,10273.0')] ).

cnf(10257,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10247]),
    [iquote('0:Rew:1.0,10247.0')] ).

cnf(9564,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9554]),
    [iquote('0:Rew:1.0,9554.0')] ).

cnf(10244,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10234]),
    [iquote('0:Rew:1.0,10234.0')] ).

cnf(10242,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10236]),
    [iquote('0:Rew:1.0,10236.0')] ).

cnf(10218,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10204]),
    [iquote('0:Rew:1.0,10204.0')] ).

cnf(10216,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10205]),
    [iquote('0:Rew:1.0,10205.0')] ).

cnf(9560,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9558]),
    [iquote('0:Rew:1.0,9558.0')] ).

cnf(10214,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10208]),
    [iquote('0:Rew:1.0,10208.0')] ).

cnf(10201,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10195]),
    [iquote('0:Rew:1.0,10195.0')] ).

cnf(10190,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10184]),
    [iquote('0:Rew:1.0,10184.0')] ).

cnf(10179,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10165]),
    [iquote('0:Rew:1.0,10165.0')] ).

cnf(9515,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9511]),
    [iquote('0:Rew:1.0,9511.0')] ).

cnf(10177,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10166]),
    [iquote('0:Rew:1.0,10166.0')] ).

cnf(10175,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10169]),
    [iquote('0:Rew:1.0,10169.0')] ).

cnf(10151,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10148]),
    [iquote('0:Rew:1.0,10148.0')] ).

cnf(11072,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11066]),
    [iquote('0:Rew:1.0,11066.0')] ).

cnf(9450,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9446]),
    [iquote('0:Rew:1.0,9446.0')] ).

cnf(11052,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11040]),
    [iquote('0:Rew:1.0,11040.0')] ).

cnf(11048,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11044]),
    [iquote('0:Rew:1.0,11044.0')] ).

cnf(11022,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11014]),
    [iquote('0:Rew:1.0,11014.0')] ).

cnf(11009,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,11007]),
    [iquote('0:Rew:1.0,11007.0')] ).

cnf(9395,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9393]),
    [iquote('0:Rew:1.0,9393.0')] ).

cnf(11000,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10998]),
    [iquote('0:Rew:1.0,10998.0')] ).

cnf(10991,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10983]),
    [iquote('0:Rew:1.0,10983.0')] ).

cnf(10966,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10956]),
    [iquote('0:Rew:1.0,10956.0')] ).

cnf(10962,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10959]),
    [iquote('0:Rew:1.0,10959.0')] ).

cnf(9279,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9269]),
    [iquote('0:Rew:1.0,9269.0')] ).

cnf(10949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10939]),
    [iquote('0:Rew:1.0,10939.0')] ).

cnf(10947,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10941]),
    [iquote('0:Rew:1.0,10941.0')] ).

cnf(10932,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10930]),
    [iquote('0:Rew:1.0,10930.0')] ).

cnf(10104,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10100]),
    [iquote('0:Rew:1.0,10100.0')] ).

cnf(9161,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9151]),
    [iquote('0:Rew:1.0,9151.0')] ).

cnf(10892,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10886]),
    [iquote('0:Rew:1.0,10886.0')] ).

cnf(10855,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10843]),
    [iquote('0:Rew:1.0,10843.0')] ).

cnf(10851,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10847]),
    [iquote('0:Rew:1.0,10847.0')] ).

cnf(10838,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10830]),
    [iquote('0:Rew:1.0,10830.0')] ).

cnf(8864,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8862]),
    [iquote('0:Rew:1.0,8862.0')] ).

cnf(10825,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10823]),
    [iquote('0:Rew:1.0,10823.0')] ).

cnf(10816,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10814]),
    [iquote('0:Rew:1.0,10814.0')] ).

cnf(10790,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10782]),
    [iquote('0:Rew:1.0,10782.0')] ).

cnf(10774,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10764]),
    [iquote('0:Rew:1.0,10764.0')] ).

cnf(8805,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8799]),
    [iquote('0:Rew:1.0,8799.0')] ).

cnf(10770,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10767]),
    [iquote('0:Rew:1.0,10767.0')] ).

cnf(10757,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10747]),
    [iquote('0:Rew:1.0,10747.0')] ).

cnf(10755,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10749]),
    [iquote('0:Rew:1.0,10749.0')] ).

cnf(10731,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10729]),
    [iquote('0:Rew:1.0,10729.0')] ).

cnf(9334,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9332]),
    [iquote('0:Rew:1.0,9332.0')] ).

cnf(10078,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10074]),
    [iquote('0:Rew:1.0,10074.0')] ).

cnf(10700,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10694]),
    [iquote('0:Rew:1.0,10694.0')] ).

cnf(10667,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10655]),
    [iquote('0:Rew:1.0,10655.0')] ).

cnf(10665,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10657]),
    [iquote('0:Rew:1.0,10657.0')] ).

cnf(9275,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9273]),
    [iquote('0:Rew:1.0,9273.0')] ).

cnf(10650,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10642]),
    [iquote('0:Rew:1.0,10642.0')] ).

cnf(10637,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10635]),
    [iquote('0:Rew:1.0,10635.0')] ).

cnf(10619,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10617]),
    [iquote('0:Rew:1.0,10617.0')] ).

cnf(10610,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10602]),
    [iquote('0:Rew:1.0,10602.0')] ).

cnf(9216,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9214]),
    [iquote('0:Rew:1.0,9214.0')] ).

cnf(10594,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10584]),
    [iquote('0:Rew:1.0,10584.0')] ).

cnf(10592,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10585]),
    [iquote('0:Rew:1.0,10585.0')] ).

cnf(10564,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10554]),
    [iquote('0:Rew:1.0,10554.0')] ).

cnf(10562,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10556]),
    [iquote('0:Rew:1.0,10556.0')] ).

cnf(9157,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9155]),
    [iquote('0:Rew:1.0,9155.0')] ).

cnf(10547,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10545]),
    [iquote('0:Rew:1.0,10545.0')] ).

cnf(10065,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10061]),
    [iquote('0:Rew:1.0,10061.0')] ).

cnf(9932,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9924]),
    [iquote('0:Rew:1.0,9924.0')] ).

cnf(9930,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9925]),
    [iquote('0:Rew:1.0,9925.0')] ).

cnf(8756,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8752]),
    [iquote('0:Rew:1.0,8752.0')] ).

cnf(9867,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9859]),
    [iquote('0:Rew:1.0,9859.0')] ).

cnf(9865,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9860]),
    [iquote('0:Rew:1.0,9860.0')] ).

cnf(9802,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9798]),
    [iquote('0:Rew:1.0,9798.0')] ).

cnf(9740,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9736]),
    [iquote('0:Rew:1.0,9736.0')] ).

cnf(8573,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8569]),
    [iquote('0:Rew:1.0,8569.0')] ).

cnf(10428,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10422]),
    [iquote('0:Rew:1.0,10422.0')] ).

cnf(10399,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10387]),
    [iquote('0:Rew:1.0,10387.0')] ).

cnf(10397,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10389]),
    [iquote('0:Rew:1.0,10389.0')] ).

cnf(10382,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10374]),
    [iquote('0:Rew:1.0,10374.0')] ).

cnf(8355,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8341]),
    [iquote('0:Rew:1.0,8341.0')] ).

cnf(10369,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10367]),
    [iquote('0:Rew:1.0,10367.0')] ).

cnf(10360,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10358]),
    [iquote('0:Rew:1.0,10358.0')] ).

cnf(10338,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10330]),
    [iquote('0:Rew:1.0,10330.0')] ).

cnf(10322,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10312]),
    [iquote('0:Rew:1.0,10312.0')] ).

cnf(8351,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8345]),
    [iquote('0:Rew:1.0,8345.0')] ).

cnf(10320,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10313]),
    [iquote('0:Rew:1.0,10313.0')] ).

cnf(10305,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10295]),
    [iquote('0:Rew:1.0,10295.0')] ).

cnf(10303,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10297]),
    [iquote('0:Rew:1.0,10297.0')] ).

cnf(10279,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,10277]),
    [iquote('0:Rew:1.0,10277.0')] ).

cnf(8241,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8227]),
    [iquote('0:Rew:1.0,8227.0')] ).

cnf(9711,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(s(o)))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9707]),
    [iquote('0:Rew:1.0,9707.0')] ).

cnf(9531,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9528]),
    [iquote('0:Rew:1.0,9528.0')] ).

cnf(9497,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9486]),
    [iquote('0:Rew:1.0,9486.0')] ).

cnf(9495,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9488]),
    [iquote('0:Rew:1.0,9488.0')] ).

cnf(8239,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8229]),
    [iquote('0:Rew:1.0,8229.0')] ).

cnf(9480,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9473]),
    [iquote('0:Rew:1.0,9473.0')] ).

cnf(9432,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9425]),
    [iquote('0:Rew:1.0,9425.0')] ).

cnf(9419,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9412]),
    [iquote('0:Rew:1.0,9412.0')] ).

cnf(9388,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9379]),
    [iquote('0:Rew:1.0,9379.0')] ).

cnf(8131,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8121]),
    [iquote('0:Rew:1.0,8121.0')] ).

cnf(9353,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9343]),
    [iquote('0:Rew:1.0,9343.0')] ).

cnf(9305,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9291]),
    [iquote('0:Rew:1.0,9291.0')] ).

cnf(9183,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9173]),
    [iquote('0:Rew:1.0,9173.0')] ).

cnf(8824,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8810]),
    [iquote('0:Rew:1.0,8810.0')] ).

cnf(7915,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7905]),
    [iquote('0:Rew:1.0,7905.0')] ).

cnf(8785,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8779]),
    [iquote('0:Rew:1.0,8779.0')] ).

cnf(8767,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8761]),
    [iquote('0:Rew:1.0,8761.0')] ).

cnf(8671,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8665]),
    [iquote('0:Rew:1.0,8665.0')] ).

cnf(8653,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8647]),
    [iquote('0:Rew:1.0,8647.0')] ).

cnf(7403,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7398]),
    [iquote('0:Rew:1.0,7398.0')] ).

cnf(8557,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8543]),
    [iquote('0:Rew:1.0,8543.0')] ).

cnf(8509,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8499]),
    [iquote('0:Rew:1.0,8499.0')] ).

cnf(8479,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8473]),
    [iquote('0:Rew:1.0,8473.0')] ).

cnf(8452,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8446]),
    [iquote('0:Rew:1.0,8446.0')] ).

cnf(228,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,223]),
    [iquote('0:Rew:1.0,223.0')] ).

cnf(8426,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8420]),
    [iquote('0:Rew:1.0,8420.0')] ).

cnf(8399,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8393]),
    [iquote('0:Rew:1.0,8393.0')] ).

cnf(8377,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8371]),
    [iquote('0:Rew:1.0,8371.0')] ).

cnf(8338,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8332]),
    [iquote('0:Rew:1.0,8332.0')] ).

cnf(8349,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8347]),
    [iquote('0:Rew:1.0,8347.0')] ).

cnf(8316,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8310]),
    [iquote('0:Rew:1.0,8310.0')] ).

cnf(8285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8279]),
    [iquote('0:Rew:1.0,8279.0')] ).

cnf(8250,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8244]),
    [iquote('0:Rew:1.0,8244.0')] ).

cnf(8215,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8209]),
    [iquote('0:Rew:1.0,8209.0')] ).

cnf(8235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8233]),
    [iquote('0:Rew:1.0,8233.0')] ).

cnf(8189,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8183]),
    [iquote('0:Rew:1.0,8183.0')] ).

cnf(8162,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8156]),
    [iquote('0:Rew:1.0,8156.0')] ).

cnf(8140,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8134]),
    [iquote('0:Rew:1.0,8134.0')] ).

cnf(8105,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8099]),
    [iquote('0:Rew:1.0,8099.0')] ).

cnf(8127,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8125]),
    [iquote('0:Rew:1.0,8125.0')] ).

cnf(8083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8077]),
    [iquote('0:Rew:1.0,8077.0')] ).

cnf(8070,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8068]),
    [iquote('0:Rew:1.0,8068.0')] ).

cnf(8048,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,8042]),
    [iquote('0:Rew:1.0,8042.0')] ).

cnf(7999,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7989]),
    [iquote('0:Rew:1.0,7989.0')] ).

cnf(7964,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7962]),
    [iquote('0:Rew:1.0,7962.0')] ).

cnf(7911,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7909]),
    [iquote('0:Rew:1.0,7909.0')] ).

cnf(7858,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7856]),
    [iquote('0:Rew:1.0,7856.0')] ).

cnf(7793,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7791]),
    [iquote('0:Rew:1.0,7791.0')] ).

cnf(7775,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7769]),
    [iquote('0:Rew:1.0,7769.0')] ).

cnf(7671,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7661]),
    [iquote('0:Rew:1.0,7661.0')] ).

cnf(7658,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7652]),
    [iquote('0:Rew:1.0,7652.0')] ).

cnf(7640,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7634]),
    [iquote('0:Rew:1.0,7634.0')] ).

cnf(7605,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7599]),
    [iquote('0:Rew:1.0,7599.0')] ).

cnf(7583,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7577]),
    [iquote('0:Rew:1.0,7577.0')] ).

cnf(7561,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7551]),
    [iquote('0:Rew:1.0,7551.0')] ).

cnf(7548,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7542]),
    [iquote('0:Rew:1.0,7542.0')] ).

cnf(7526,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7520]),
    [iquote('0:Rew:1.0,7520.0')] ).

cnf(7486,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7480]),
    [iquote('0:Rew:1.0,7480.0')] ).

cnf(7460,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7454]),
    [iquote('0:Rew:1.0,7454.0')] ).

cnf(7502,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7500]),
    [iquote('0:Rew:1.0,7500.0')] ).

cnf(7429,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7423]),
    [iquote('0:Rew:1.0,7423.0')] ).

cnf(7418,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7406]),
    [iquote('0:Rew:1.0,7406.0')] ).

cnf(7385,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7375]),
    [iquote('0:Rew:1.0,7375.0')] ).

cnf(9493,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9483]),
    [iquote('0:Rew:1.0,9483.0')] ).

cnf(7667,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7665]),
    [iquote('0:Rew:1.0,7665.0')] ).

cnf(9467,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9457]),
    [iquote('0:Rew:1.0,9457.0')] ).

cnf(9465,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9458]),
    [iquote('0:Rew:1.0,9458.0')] ).

cnf(9441,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9435]),
    [iquote('0:Rew:1.0,9435.0')] ).

cnf(9428,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9424]),
    [iquote('0:Rew:1.0,9424.0')] ).

cnf(7557,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7555]),
    [iquote('0:Rew:1.0,7555.0')] ).

cnf(9415,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9411]),
    [iquote('0:Rew:1.0,9411.0')] ).

cnf(9406,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9400]),
    [iquote('0:Rew:1.0,9400.0')] ).

cnf(9386,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9374]),
    [iquote('0:Rew:1.0,9374.0')] ).

cnf(9384,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9375]),
    [iquote('0:Rew:1.0,9375.0')] ).

cnf(7319,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7315]),
    [iquote('0:Rew:1.0,7315.0')] ).

cnf(9369,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9366]),
    [iquote('0:Rew:1.0,9366.0')] ).

cnf(9360,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9356]),
    [iquote('0:Rew:1.0,9356.0')] ).

cnf(9349,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,9347]),
    [iquote('0:Rew:1.0,9347.0')] ).

cnf(7383,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7376]),
    [iquote('0:Rew:1.0,7376.0')] ).

cnf(7248,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7246]),
    [iquote('0:Rew:1.0,7246.0')] ).

cnf(7370,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7358]),
    [iquote('0:Rew:1.0,7358.0')] ).

cnf(7353,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7341]),
    [iquote('0:Rew:1.0,7341.0')] ).

cnf(7351,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7342]),
    [iquote('0:Rew:1.0,7342.0')] ).

cnf(7336,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7324]),
    [iquote('0:Rew:1.0,7324.0')] ).

cnf(7173,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7171]),
    [iquote('0:Rew:1.0,7171.0')] ).

cnf(7310,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7302]),
    [iquote('0:Rew:1.0,7302.0')] ).

cnf(7280,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7268]),
    [iquote('0:Rew:1.0,7268.0')] ).

cnf(7263,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7255]),
    [iquote('0:Rew:1.0,7255.0')] ).

cnf(7220,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7208]),
    [iquote('0:Rew:1.0,7208.0')] ).

cnf(7100,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7094]),
    [iquote('0:Rew:1.0,7094.0')] ).

cnf(7203,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7195]),
    [iquote('0:Rew:1.0,7195.0')] ).

cnf(7190,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7178]),
    [iquote('0:Rew:1.0,7178.0')] ).

cnf(7188,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7179]),
    [iquote('0:Rew:1.0,7179.0')] ).

cnf(7147,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7139]),
    [iquote('0:Rew:1.0,7139.0')] ).

cnf(7035,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7033]),
    [iquote('0:Rew:1.0,7033.0')] ).

cnf(7117,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7105]),
    [iquote('0:Rew:1.0,7105.0')] ).

cnf(7087,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7079]),
    [iquote('0:Rew:1.0,7079.0')] ).

cnf(7074,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7066]),
    [iquote('0:Rew:1.0,7066.0')] ).

cnf(7061,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7053]),
    [iquote('0:Rew:1.0,7053.0')] ).

cnf(6976,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6966]),
    [iquote('0:Rew:1.0,6966.0')] ).

cnf(7048,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7040]),
    [iquote('0:Rew:1.0,7040.0')] ).

cnf(7026,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7018]),
    [iquote('0:Rew:1.0,7018.0')] ).

cnf(7013,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,7005]),
    [iquote('0:Rew:1.0,7005.0')] ).

cnf(7000,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6992]),
    [iquote('0:Rew:1.0,6992.0')] ).

cnf(6781,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6771]),
    [iquote('0:Rew:1.0,6771.0')] ).

cnf(6987,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6979]),
    [iquote('0:Rew:1.0,6979.0')] ).

cnf(6961,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6953]),
    [iquote('0:Rew:1.0,6953.0')] ).

cnf(6948,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6940]),
    [iquote('0:Rew:1.0,6940.0')] ).

cnf(6935,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6927]),
    [iquote('0:Rew:1.0,6927.0')] ).

cnf(6708,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6702]),
    [iquote('0:Rew:1.0,6702.0')] ).

cnf(6922,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6914]),
    [iquote('0:Rew:1.0,6914.0')] ).

cnf(6896,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6888]),
    [iquote('0:Rew:1.0,6888.0')] ).

cnf(6883,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6875]),
    [iquote('0:Rew:1.0,6875.0')] ).

cnf(6870,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6862]),
    [iquote('0:Rew:1.0,6862.0')] ).

cnf(6515,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6505]),
    [iquote('0:Rew:1.0,6505.0')] ).

cnf(6857,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6849]),
    [iquote('0:Rew:1.0,6849.0')] ).

cnf(6831,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6823]),
    [iquote('0:Rew:1.0,6823.0')] ).

cnf(6818,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6810]),
    [iquote('0:Rew:1.0,6810.0')] ).

cnf(6805,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6797]),
    [iquote('0:Rew:1.0,6797.0')] ).

cnf(6308,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6297]),
    [iquote('0:Rew:1.0,6297.0')] ).

cnf(6792,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6784]),
    [iquote('0:Rew:1.0,6784.0')] ).

cnf(6766,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6758]),
    [iquote('0:Rew:1.0,6758.0')] ).

cnf(6753,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6741]),
    [iquote('0:Rew:1.0,6741.0')] ).

cnf(6751,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6742]),
    [iquote('0:Rew:1.0,6742.0')] ).

cnf(6237,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6230]),
    [iquote('0:Rew:1.0,6230.0')] ).

cnf(6738,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6728]),
    [iquote('0:Rew:1.0,6728.0')] ).

cnf(6736,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6730]),
    [iquote('0:Rew:1.0,6730.0')] ).

cnf(6725,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6715]),
    [iquote('0:Rew:1.0,6715.0')] ).

cnf(6723,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6717]),
    [iquote('0:Rew:1.0,6717.0')] ).

cnf(6972,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6970]),
    [iquote('0:Rew:1.0,6970.0')] ).

cnf(6628,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6620]),
    [iquote('0:Rew:1.0,6620.0')] ).

cnf(6615,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6607]),
    [iquote('0:Rew:1.0,6607.0')] ).

cnf(6602,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6596]),
    [iquote('0:Rew:1.0,6596.0')] ).

cnf(6589,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6583]),
    [iquote('0:Rew:1.0,6583.0')] ).

cnf(6907,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6905]),
    [iquote('0:Rew:1.0,6905.0')] ).

cnf(6569,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6559]),
    [iquote('0:Rew:1.0,6559.0')] ).

cnf(6567,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6561]),
    [iquote('0:Rew:1.0,6561.0')] ).

cnf(6556,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6546]),
    [iquote('0:Rew:1.0,6546.0')] ).

cnf(6554,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6548]),
    [iquote('0:Rew:1.0,6548.0')] ).

cnf(6842,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6840]),
    [iquote('0:Rew:1.0,6840.0')] ).

cnf(6472,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6464]),
    [iquote('0:Rew:1.0,6464.0')] ).

cnf(6459,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6451]),
    [iquote('0:Rew:1.0,6451.0')] ).

cnf(6433,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6427]),
    [iquote('0:Rew:1.0,6427.0')] ).

cnf(6420,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6414]),
    [iquote('0:Rew:1.0,6414.0')] ).

cnf(6777,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6775]),
    [iquote('0:Rew:1.0,6775.0')] ).

cnf(6407,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6395]),
    [iquote('0:Rew:1.0,6395.0')] ).

cnf(6405,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6396]),
    [iquote('0:Rew:1.0,6396.0')] ).

cnf(6390,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6382]),
    [iquote('0:Rew:1.0,6382.0')] ).

cnf(6368,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6356]),
    [iquote('0:Rew:1.0,6356.0')] ).

cnf(6639,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6637]),
    [iquote('0:Rew:1.0,6637.0')] ).

cnf(6366,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6357]),
    [iquote('0:Rew:1.0,6357.0')] ).

cnf(6336,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6326]),
    [iquote('0:Rew:1.0,6326.0')] ).

cnf(6334,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6327]),
    [iquote('0:Rew:1.0,6327.0')] ).

cnf(6323,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6313]),
    [iquote('0:Rew:1.0,6313.0')] ).

cnf(6444,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6442]),
    [iquote('0:Rew:1.0,6442.0')] ).

cnf(6321,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6314]),
    [iquote('0:Rew:1.0,6314.0')] ).

cnf(6293,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6283]),
    [iquote('0:Rew:1.0,6283.0')] ).

cnf(6291,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6284]),
    [iquote('0:Rew:1.0,6284.0')] ).

cnf(6280,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6270]),
    [iquote('0:Rew:1.0,6270.0')] ).

cnf(6109,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6101]),
    [iquote('0:Rew:1.0,6101.0')] ).

cnf(6278,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6271]),
    [iquote('0:Rew:1.0,6271.0')] ).

cnf(6267,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6257]),
    [iquote('0:Rew:1.0,6257.0')] ).

cnf(6265,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6258]),
    [iquote('0:Rew:1.0,6258.0')] ).

cnf(6254,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6244]),
    [iquote('0:Rew:1.0,6244.0')] ).

cnf(6107,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6103]),
    [iquote('0:Rew:1.0,6103.0')] ).

cnf(6252,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6245]),
    [iquote('0:Rew:1.0,6245.0')] ).

cnf(6224,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6214]),
    [iquote('0:Rew:1.0,6214.0')] ).

cnf(6222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6215]),
    [iquote('0:Rew:1.0,6215.0')] ).

cnf(6211,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6201]),
    [iquote('0:Rew:1.0,6201.0')] ).

cnf(5975,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5967]),
    [iquote('0:Rew:1.0,5967.0')] ).

cnf(6209,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6202]),
    [iquote('0:Rew:1.0,6202.0')] ).

cnf(6196,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6188]),
    [iquote('0:Rew:1.0,6188.0')] ).

cnf(6185,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6175]),
    [iquote('0:Rew:1.0,6175.0')] ).

cnf(6183,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6176]),
    [iquote('0:Rew:1.0,6176.0')] ).

cnf(5973,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5969]),
    [iquote('0:Rew:1.0,5969.0')] ).

cnf(6163,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6153]),
    [iquote('0:Rew:1.0,6153.0')] ).

cnf(6161,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6154]),
    [iquote('0:Rew:1.0,6154.0')] ).

cnf(6150,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6140]),
    [iquote('0:Rew:1.0,6140.0')] ).

cnf(6148,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6141]),
    [iquote('0:Rew:1.0,6141.0')] ).

cnf(5851,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5837]),
    [iquote('0:Rew:1.0,5837.0')] ).

cnf(6137,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6127]),
    [iquote('0:Rew:1.0,6127.0')] ).

cnf(6135,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6128]),
    [iquote('0:Rew:1.0,6128.0')] ).

cnf(6124,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6114]),
    [iquote('0:Rew:1.0,6114.0')] ).

cnf(6122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6115]),
    [iquote('0:Rew:1.0,6115.0')] ).

cnf(5847,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5841]),
    [iquote('0:Rew:1.0,5841.0')] ).

cnf(6098,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6088]),
    [iquote('0:Rew:1.0,6088.0')] ).

cnf(6096,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6089]),
    [iquote('0:Rew:1.0,6089.0')] ).

cnf(6085,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6075]),
    [iquote('0:Rew:1.0,6075.0')] ).

cnf(6083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6076]),
    [iquote('0:Rew:1.0,6076.0')] ).

cnf(5845,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5843]),
    [iquote('0:Rew:1.0,5843.0')] ).

cnf(6072,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6062]),
    [iquote('0:Rew:1.0,6062.0')] ).

cnf(6070,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6063]),
    [iquote('0:Rew:1.0,6063.0')] ).

cnf(6057,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6049]),
    [iquote('0:Rew:1.0,6049.0')] ).

cnf(6035,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6027]),
    [iquote('0:Rew:1.0,6027.0')] ).

cnf(5721,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5707]),
    [iquote('0:Rew:1.0,5707.0')] ).

cnf(6022,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6010]),
    [iquote('0:Rew:1.0,6010.0')] ).

cnf(6020,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,6011]),
    [iquote('0:Rew:1.0,6011.0')] ).

cnf(5988,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5980]),
    [iquote('0:Rew:1.0,5980.0')] ).

cnf(5962,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5954]),
    [iquote('0:Rew:1.0,5954.0')] ).

cnf(5719,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5709]),
    [iquote('0:Rew:1.0,5709.0')] ).

cnf(5949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(s(o))),e2(o,s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5941]),
    [iquote('0:Rew:1.0,5941.0')] ).

cnf(5936,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5928]),
    [iquote('0:Rew:1.0,5928.0')] ).

cnf(5923,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5915]),
    [iquote('0:Rew:1.0,5915.0')] ).

cnf(5901,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5893]),
    [iquote('0:Rew:1.0,5893.0')] ).

cnf(5717,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5711]),
    [iquote('0:Rew:1.0,5711.0')] ).

cnf(5888,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5880]),
    [iquote('0:Rew:1.0,5880.0')] ).

cnf(5875,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5867]),
    [iquote('0:Rew:1.0,5867.0')] ).

cnf(5862,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5854]),
    [iquote('0:Rew:1.0,5854.0')] ).

cnf(5832,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5824]),
    [iquote('0:Rew:1.0,5824.0')] ).

cnf(5589,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5582]),
    [iquote('0:Rew:1.0,5582.0')] ).

cnf(5819,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5811]),
    [iquote('0:Rew:1.0,5811.0')] ).

cnf(5806,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5798]),
    [iquote('0:Rew:1.0,5798.0')] ).

cnf(5793,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5785]),
    [iquote('0:Rew:1.0,5785.0')] ).

cnf(5771,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5763]),
    [iquote('0:Rew:1.0,5763.0')] ).

cnf(5461,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5458]),
    [iquote('0:Rew:1.0,5458.0')] ).

cnf(5760,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5750]),
    [iquote('0:Rew:1.0,5750.0')] ).

cnf(5758,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5752]),
    [iquote('0:Rew:1.0,5752.0')] ).

cnf(5745,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5737]),
    [iquote('0:Rew:1.0,5737.0')] ).

cnf(5732,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5724]),
    [iquote('0:Rew:1.0,5724.0')] ).

cnf(5298,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5288]),
    [iquote('0:Rew:1.0,5288.0')] ).

cnf(5676,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5668]),
    [iquote('0:Rew:1.0,5668.0')] ).

cnf(5663,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5655]),
    [iquote('0:Rew:1.0,5655.0')] ).

cnf(5641,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5635]),
    [iquote('0:Rew:1.0,5635.0')] ).

cnf(5604,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5594]),
    [iquote('0:Rew:1.0,5594.0')] ).

cnf(5239,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5237]),
    [iquote('0:Rew:1.0,5237.0')] ).

cnf(5602,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5595]),
    [iquote('0:Rew:1.0,5595.0')] ).

cnf(5578,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5568]),
    [iquote('0:Rew:1.0,5568.0')] ).

cnf(5576,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5569]),
    [iquote('0:Rew:1.0,5569.0')] ).

cnf(5565,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5555]),
    [iquote('0:Rew:1.0,5555.0')] ).

cnf(5127,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5117]),
    [iquote('0:Rew:1.0,5117.0')] ).

cnf(5563,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5556]),
    [iquote('0:Rew:1.0,5556.0')] ).

cnf(5552,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5542]),
    [iquote('0:Rew:1.0,5542.0')] ).

cnf(5550,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5543]),
    [iquote('0:Rew:1.0,5543.0')] ).

cnf(5539,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5529]),
    [iquote('0:Rew:1.0,5529.0')] ).

cnf(5060,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5058]),
    [iquote('0:Rew:1.0,5058.0')] ).

cnf(5537,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5530]),
    [iquote('0:Rew:1.0,5530.0')] ).

cnf(5517,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5507]),
    [iquote('0:Rew:1.0,5507.0')] ).

cnf(5515,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5508]),
    [iquote('0:Rew:1.0,5508.0')] ).

cnf(5502,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5496]),
    [iquote('0:Rew:1.0,5496.0')] ).

cnf(5005,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4991]),
    [iquote('0:Rew:1.0,4991.0')] ).

cnf(5491,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5481]),
    [iquote('0:Rew:1.0,5481.0')] ).

cnf(5489,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5482]),
    [iquote('0:Rew:1.0,5482.0')] ).

cnf(5478,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5468]),
    [iquote('0:Rew:1.0,5468.0')] ).

cnf(5476,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5469]),
    [iquote('0:Rew:1.0,5469.0')] ).

cnf(5294,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5292]),
    [iquote('0:Rew:1.0,5292.0')] ).

cnf(5430,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5420]),
    [iquote('0:Rew:1.0,5420.0')] ).

cnf(5426,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5424]),
    [iquote('0:Rew:1.0,5424.0')] ).

cnf(5417,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5412]),
    [iquote('0:Rew:1.0,5412.0')] ).

cnf(5406,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5398]),
    [iquote('0:Rew:1.0,5398.0')] ).

cnf(5123,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5121]),
    [iquote('0:Rew:1.0,5121.0')] ).

cnf(5404,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5399]),
    [iquote('0:Rew:1.0,5399.0')] ).

cnf(5395,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5390]),
    [iquote('0:Rew:1.0,5390.0')] ).

cnf(5386,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5381]),
    [iquote('0:Rew:1.0,5381.0')] ).

cnf(5377,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5372]),
    [iquote('0:Rew:1.0,5372.0')] ).

cnf(4999,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4997]),
    [iquote('0:Rew:1.0,4997.0')] ).

cnf(5368,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5363]),
    [iquote('0:Rew:1.0,5363.0')] ).

cnf(5342,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5335]),
    [iquote('0:Rew:1.0,5335.0')] ).

cnf(5329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5322]),
    [iquote('0:Rew:1.0,5322.0')] ).

cnf(5307,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5302]),
    [iquote('0:Rew:1.0,5302.0')] ).

cnf(4936,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4932]),
    [iquote('0:Rew:1.0,4932.0')] ).

cnf(5285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5278]),
    [iquote('0:Rew:1.0,5278.0')] ).

cnf(5272,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5265]),
    [iquote('0:Rew:1.0,5265.0')] ).

cnf(5250,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5245]),
    [iquote('0:Rew:1.0,5245.0')] ).

cnf(5232,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5225]),
    [iquote('0:Rew:1.0,5225.0')] ).

cnf(4877,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4873]),
    [iquote('0:Rew:1.0,4873.0')] ).

cnf(5210,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5203]),
    [iquote('0:Rew:1.0,5203.0')] ).

cnf(5197,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5192]),
    [iquote('0:Rew:1.0,5192.0')] ).

cnf(5171,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5164]),
    [iquote('0:Rew:1.0,5164.0')] ).

cnf(5158,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5151]),
    [iquote('0:Rew:1.0,5151.0')] ).

cnf(4814,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4810]),
    [iquote('0:Rew:1.0,4810.0')] ).

cnf(5101,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5094]),
    [iquote('0:Rew:1.0,5094.0')] ).

cnf(5088,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5081]),
    [iquote('0:Rew:1.0,5081.0')] ).

cnf(5031,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5024]),
    [iquote('0:Rew:1.0,5024.0')] ).

cnf(5018,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5011]),
    [iquote('0:Rew:1.0,5011.0')] ).

cnf(4755,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4751]),
    [iquote('0:Rew:1.0,4751.0')] ).

cnf(4966,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4959]),
    [iquote('0:Rew:1.0,4959.0')] ).

cnf(4914,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4907]),
    [iquote('0:Rew:1.0,4907.0')] ).

cnf(4870,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4863]),
    [iquote('0:Rew:1.0,4863.0')] ).

cnf(4857,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4850]),
    [iquote('0:Rew:1.0,4850.0')] ).

cnf(4696,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4690]),
    [iquote('0:Rew:1.0,4690.0')] ).

cnf(4805,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4798]),
    [iquote('0:Rew:1.0,4798.0')] ).

cnf(4748,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4741]),
    [iquote('0:Rew:1.0,4741.0')] ).

cnf(4674,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4667]),
    [iquote('0:Rew:1.0,4667.0')] ).

cnf(4618,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4611]),
    [iquote('0:Rew:1.0,4611.0')] ).

cnf(4694,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4692]),
    [iquote('0:Rew:1.0,4692.0')] ).

cnf(4583,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4576]),
    [iquote('0:Rew:1.0,4576.0')] ).

cnf(4544,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4537]),
    [iquote('0:Rew:1.0,4537.0')] ).

cnf(4531,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4524]),
    [iquote('0:Rew:1.0,4524.0')] ).

cnf(4488,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4481]),
    [iquote('0:Rew:1.0,4481.0')] ).

cnf(4633,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4623]),
    [iquote('0:Rew:1.0,4623.0')] ).

cnf(4462,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4455]),
    [iquote('0:Rew:1.0,4455.0')] ).

cnf(4423,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4416]),
    [iquote('0:Rew:1.0,4416.0')] ).

cnf(4410,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4403]),
    [iquote('0:Rew:1.0,4403.0')] ).

cnf(4384,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4377]),
    [iquote('0:Rew:1.0,4377.0')] ).

cnf(4631,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4625]),
    [iquote('0:Rew:1.0,4625.0')] ).

cnf(4345,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4340]),
    [iquote('0:Rew:1.0,4340.0')] ).

cnf(4336,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4331]),
    [iquote('0:Rew:1.0,4331.0')] ).

cnf(4327,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4318]),
    [iquote('0:Rew:1.0,4318.0')] ).

cnf(4284,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4275]),
    [iquote('0:Rew:1.0,4275.0')] ).

cnf(4568,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4561]),
    [iquote('0:Rew:1.0,4561.0')] ).

cnf(4158,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4151]),
    [iquote('0:Rew:1.0,4151.0')] ).

cnf(4145,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4136]),
    [iquote('0:Rew:1.0,4136.0')] ).

cnf(4128,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4121]),
    [iquote('0:Rew:1.0,4121.0')] ).

cnf(4098,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4089]),
    [iquote('0:Rew:1.0,4089.0')] ).

cnf(4503,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4492]),
    [iquote('0:Rew:1.0,4492.0')] ).

cnf(4081,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4074]),
    [iquote('0:Rew:1.0,4074.0')] ).

cnf(4068,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4061]),
    [iquote('0:Rew:1.0,4061.0')] ).

cnf(4055,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4048]),
    [iquote('0:Rew:1.0,4048.0')] ).

cnf(4033,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4026]),
    [iquote('0:Rew:1.0,4026.0')] ).

cnf(4436,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4426]),
    [iquote('0:Rew:1.0,4426.0')] ).

cnf(3994,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3985]),
    [iquote('0:Rew:1.0,3985.0')] ).

cnf(3959,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3950]),
    [iquote('0:Rew:1.0,3950.0')] ).

cnf(3837,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3830]),
    [iquote('0:Rew:1.0,3830.0')] ).

cnf(3824,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3815]),
    [iquote('0:Rew:1.0,3815.0')] ).

cnf(4369,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4362]),
    [iquote('0:Rew:1.0,4362.0')] ).

cnf(3807,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3800]),
    [iquote('0:Rew:1.0,3800.0')] ).

cnf(3785,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3776]),
    [iquote('0:Rew:1.0,3776.0')] ).

cnf(3768,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3761]),
    [iquote('0:Rew:1.0,3761.0')] ).

cnf(3755,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3748]),
    [iquote('0:Rew:1.0,3748.0')] ).

cnf(4306,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4299]),
    [iquote('0:Rew:1.0,4299.0')] ).

cnf(3742,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3735]),
    [iquote('0:Rew:1.0,3735.0')] ).

cnf(3712,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3705]),
    [iquote('0:Rew:1.0,3705.0')] ).

cnf(3651,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3646]),
    [iquote('0:Rew:1.0,3646.0')] ).

cnf(3642,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3637]),
    [iquote('0:Rew:1.0,3637.0')] ).

cnf(4245,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4235]),
    [iquote('0:Rew:1.0,4235.0')] ).

cnf(3633,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3626]),
    [iquote('0:Rew:1.0,3626.0')] ).

cnf(3594,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3587]),
    [iquote('0:Rew:1.0,3587.0')] ).

cnf(3568,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3561]),
    [iquote('0:Rew:1.0,3561.0')] ).

cnf(3555,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3548]),
    [iquote('0:Rew:1.0,3548.0')] ).

cnf(4184,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4178]),
    [iquote('0:Rew:1.0,4178.0')] ).

cnf(3529,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3522]),
    [iquote('0:Rew:1.0,3522.0')] ).

cnf(3516,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3509]),
    [iquote('0:Rew:1.0,3509.0')] ).

cnf(3503,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3496]),
    [iquote('0:Rew:1.0,3496.0')] ).

cnf(3468,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3461]),
    [iquote('0:Rew:1.0,3461.0')] ).

cnf(4113,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4103]),
    [iquote('0:Rew:1.0,4103.0')] ).

cnf(3382,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3375]),
    [iquote('0:Rew:1.0,3375.0')] ).

cnf(3369,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3362]),
    [iquote('0:Rew:1.0,3362.0')] ).

cnf(3330,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3321]),
    [iquote('0:Rew:1.0,3321.0')] ).

cnf(3300,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3293]),
    [iquote('0:Rew:1.0,3293.0')] ).

cnf(4499,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4497]),
    [iquote('0:Rew:1.0,4497.0')] ).

cnf(3287,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3280]),
    [iquote('0:Rew:1.0,3280.0')] ).

cnf(3261,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3254]),
    [iquote('0:Rew:1.0,3254.0')] ).

cnf(3248,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3241]),
    [iquote('0:Rew:1.0,3241.0')] ).

cnf(3235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3228]),
    [iquote('0:Rew:1.0,3228.0')] ).

cnf(4432,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4430]),
    [iquote('0:Rew:1.0,4430.0')] ).

cnf(3200,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3193]),
    [iquote('0:Rew:1.0,3193.0')] ).

cnf(3114,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3107]),
    [iquote('0:Rew:1.0,3107.0')] ).

cnf(3101,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3094]),
    [iquote('0:Rew:1.0,3094.0')] ).

cnf(3066,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3057]),
    [iquote('0:Rew:1.0,3057.0')] ).

cnf(4304,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4302]),
    [iquote('0:Rew:1.0,4302.0')] ).

cnf(3049,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3044]),
    [iquote('0:Rew:1.0,3044.0')] ).

cnf(3040,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3033]),
    [iquote('0:Rew:1.0,3033.0')] ).

cnf(3005,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2998]),
    [iquote('0:Rew:1.0,2998.0')] ).

cnf(2983,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2976]),
    [iquote('0:Rew:1.0,2976.0')] ).

cnf(4241,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4239]),
    [iquote('0:Rew:1.0,4239.0')] ).

cnf(2931,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2924]),
    [iquote('0:Rew:1.0,2924.0')] ).

cnf(2214,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(o)),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(s(o))),e2(s(o),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2207]),
    [iquote('0:Rew:1.0,2207.0')] ).

cnf(2162,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2155]),
    [iquote('0:Rew:1.0,2155.0')] ).

cnf(2118,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2111]),
    [iquote('0:Rew:1.0,2111.0')] ).

cnf(3918,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3910]),
    [iquote('0:Rew:1.0,3910.0')] ).

cnf(2092,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2087]),
    [iquote('0:Rew:1.0,2087.0')] ).

cnf(2070,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2061]),
    [iquote('0:Rew:1.0,2061.0')] ).

cnf(2053,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2048]),
    [iquote('0:Rew:1.0,2048.0')] ).

cnf(2044,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2035]),
    [iquote('0:Rew:1.0,2035.0')] ).

cnf(3916,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3912]),
    [iquote('0:Rew:1.0,3912.0')] ).

cnf(1988,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1981]),
    [iquote('0:Rew:1.0,1981.0')] ).

cnf(1962,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1955]),
    [iquote('0:Rew:1.0,1955.0')] ).

cnf(1923,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1916]),
    [iquote('0:Rew:1.0,1916.0')] ).

cnf(1818,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1811]),
    [iquote('0:Rew:1.0,1811.0')] ).

cnf(3861,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3853]),
    [iquote('0:Rew:1.0,3853.0')] ).

cnf(1792,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1785]),
    [iquote('0:Rew:1.0,1785.0')] ).

cnf(1779,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1770]),
    [iquote('0:Rew:1.0,1770.0')] ).

cnf(1700,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1691]),
    [iquote('0:Rew:1.0,1691.0')] ).

cnf(1683,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1674]),
    [iquote('0:Rew:1.0,1674.0')] ).

cnf(3859,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3855]),
    [iquote('0:Rew:1.0,3855.0')] ).

cnf(1666,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1659]),
    [iquote('0:Rew:1.0,1659.0')] ).

cnf(1653,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1644]),
    [iquote('0:Rew:1.0,1644.0')] ).

cnf(1606,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1599]),
    [iquote('0:Rew:1.0,1599.0')] ).

cnf(1593,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1586]),
    [iquote('0:Rew:1.0,1586.0')] ).

cnf(3729,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3715]),
    [iquote('0:Rew:1.0,3715.0')] ).

cnf(1580,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1573]),
    [iquote('0:Rew:1.0,1573.0')] ).

cnf(1545,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1538]),
    [iquote('0:Rew:1.0,1538.0')] ).

cnf(1532,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1523]),
    [iquote('0:Rew:1.0,1523.0')] ).

cnf(1480,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1473]),
    [iquote('0:Rew:1.0,1473.0')] ).

cnf(3725,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3719]),
    [iquote('0:Rew:1.0,3719.0')] ).

cnf(1467,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1460]),
    [iquote('0:Rew:1.0,1460.0')] ).

cnf(1385,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1378]),
    [iquote('0:Rew:1.0,1378.0')] ).

cnf(1363,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1356]),
    [iquote('0:Rew:1.0,1356.0')] ).

cnf(1350,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1343]),
    [iquote('0:Rew:1.0,1343.0')] ).

cnf(193,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,179]),
    [iquote('0:Rew:1.0,179.0')] ).

cnf(1298,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1291]),
    [iquote('0:Rew:1.0,1291.0')] ).

cnf(1285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1278]),
    [iquote('0:Rew:1.0,1278.0')] ).

cnf(1272,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1265]),
    [iquote('0:Rew:1.0,1265.0')] ).

cnf(942,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,935]),
    [iquote('0:Rew:1.0,935.0')] ).

cnf(191,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,181]),
    [iquote('0:Rew:1.0,181.0')] ).

cnf(881,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,871]),
    [iquote('0:Rew:1.0,871.0')] ).

cnf(851,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,845]),
    [iquote('0:Rew:1.0,845.0')] ).

cnf(840,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,838]),
    [iquote('0:Rew:1.0,838.0')] ).

cnf(5316,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5310]),
    [iquote('0:Rew:1.0,5310.0')] ).

cnf(3723,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3721]),
    [iquote('0:Rew:1.0,3721.0')] ).

cnf(5259,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5253]),
    [iquote('0:Rew:1.0,5253.0')] ).

cnf(5219,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5213]),
    [iquote('0:Rew:1.0,5213.0')] ).

cnf(5145,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5139]),
    [iquote('0:Rew:1.0,5139.0')] ).

cnf(5136,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5130]),
    [iquote('0:Rew:1.0,5130.0')] ).

cnf(3542,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3532]),
    [iquote('0:Rew:1.0,3532.0')] ).

cnf(5086,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5078]),
    [iquote('0:Rew:1.0,5078.0')] ).

cnf(5075,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5065]),
    [iquote('0:Rew:1.0,5065.0')] ).

cnf(5073,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5067]),
    [iquote('0:Rew:1.0,5067.0')] ).

cnf(5053,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5047]),
    [iquote('0:Rew:1.0,5047.0')] ).

cnf(3475,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3473]),
    [iquote('0:Rew:1.0,3473.0')] ).

cnf(5016,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,5008]),
    [iquote('0:Rew:1.0,5008.0')] ).

cnf(4988,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4978]),
    [iquote('0:Rew:1.0,4978.0')] ).

cnf(4986,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4980]),
    [iquote('0:Rew:1.0,4980.0')] ).

cnf(4975,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4969]),
    [iquote('0:Rew:1.0,4969.0')] ).

cnf(3416,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3402]),
    [iquote('0:Rew:1.0,3402.0')] ).

cnf(4927,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4917]),
    [iquote('0:Rew:1.0,4917.0')] ).

cnf(4925,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4919]),
    [iquote('0:Rew:1.0,4919.0')] ).

cnf(4912,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4904]),
    [iquote('0:Rew:1.0,4904.0')] ).

cnf(4901,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4895]),
    [iquote('0:Rew:1.0,4895.0')] ).

cnf(3274,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3264]),
    [iquote('0:Rew:1.0,3264.0')] ).

cnf(4855,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4847]),
    [iquote('0:Rew:1.0,4847.0')] ).

cnf(4844,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4834]),
    [iquote('0:Rew:1.0,4834.0')] ).

cnf(4840,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4838]),
    [iquote('0:Rew:1.0,4838.0')] ).

cnf(4829,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4822]),
    [iquote('0:Rew:1.0,4822.0')] ).

cnf(3207,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3205]),
    [iquote('0:Rew:1.0,3205.0')] ).

cnf(4803,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4795]),
    [iquote('0:Rew:1.0,4795.0')] ).

cnf(4792,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4786]),
    [iquote('0:Rew:1.0,4786.0')] ).

cnf(4781,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4775]),
    [iquote('0:Rew:1.0,4775.0')] ).

cnf(4779,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4777]),
    [iquote('0:Rew:1.0,4777.0')] ).

cnf(3148,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3134]),
    [iquote('0:Rew:1.0,3134.0')] ).

cnf(4768,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4761]),
    [iquote('0:Rew:1.0,4761.0')] ).

cnf(4746,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4738]),
    [iquote('0:Rew:1.0,4738.0')] ).

cnf(4735,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4729]),
    [iquote('0:Rew:1.0,4729.0')] ).

cnf(4724,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4718]),
    [iquote('0:Rew:1.0,4718.0')] ).

cnf(3146,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3135]),
    [iquote('0:Rew:1.0,3135.0')] ).

cnf(4722,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4720]),
    [iquote('0:Rew:1.0,4720.0')] ).

cnf(4709,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4706]),
    [iquote('0:Rew:1.0,4706.0')] ).

cnf(4683,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4677]),
    [iquote('0:Rew:1.0,4677.0')] ).

cnf(4672,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4664]),
    [iquote('0:Rew:1.0,4664.0')] ).

cnf(3538,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3536]),
    [iquote('0:Rew:1.0,3536.0')] ).

cnf(4659,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4653]),
    [iquote('0:Rew:1.0,4653.0')] ).

cnf(4657,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4655]),
    [iquote('0:Rew:1.0,4655.0')] ).

cnf(4646,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4639]),
    [iquote('0:Rew:1.0,4639.0')] ).

cnf(4616,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4608]),
    [iquote('0:Rew:1.0,4608.0')] ).

cnf(3410,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3408]),
    [iquote('0:Rew:1.0,3408.0')] ).

cnf(4605,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4599]),
    [iquote('0:Rew:1.0,4599.0')] ).

cnf(4594,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4588]),
    [iquote('0:Rew:1.0,4588.0')] ).

cnf(4592,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4590]),
    [iquote('0:Rew:1.0,4590.0')] ).

cnf(4581,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4573]),
    [iquote('0:Rew:1.0,4573.0')] ).

cnf(3270,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3268]),
    [iquote('0:Rew:1.0,3268.0')] ).

cnf(4555,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4549]),
    [iquote('0:Rew:1.0,4549.0')] ).

cnf(4553,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4551]),
    [iquote('0:Rew:1.0,4551.0')] ).

cnf(4542,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4534]),
    [iquote('0:Rew:1.0,4534.0')] ).

cnf(4529,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4521]),
    [iquote('0:Rew:1.0,4521.0')] ).

cnf(3142,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3140]),
    [iquote('0:Rew:1.0,3140.0')] ).

cnf(4516,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4510]),
    [iquote('0:Rew:1.0,4510.0')] ).

cnf(4514,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4512]),
    [iquote('0:Rew:1.0,4512.0')] ).

cnf(4486,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4478]),
    [iquote('0:Rew:1.0,4478.0')] ).

cnf(4460,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4452]),
    [iquote('0:Rew:1.0,4452.0')] ).

cnf(3075,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3071]),
    [iquote('0:Rew:1.0,3071.0')] ).

cnf(4447,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4441]),
    [iquote('0:Rew:1.0,4441.0')] ).

cnf(4445,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4443]),
    [iquote('0:Rew:1.0,4443.0')] ).

cnf(4421,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4413]),
    [iquote('0:Rew:1.0,4413.0')] ).

cnf(4408,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4400]),
    [iquote('0:Rew:1.0,4400.0')] ).

cnf(3014,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3010]),
    [iquote('0:Rew:1.0,3010.0')] ).

cnf(4395,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4389]),
    [iquote('0:Rew:1.0,4389.0')] ).

cnf(4393,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4391]),
    [iquote('0:Rew:1.0,4391.0')] ).

cnf(4382,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4374]),
    [iquote('0:Rew:1.0,4374.0')] ).

cnf(4230,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4228]),
    [iquote('0:Rew:1.0,4228.0')] ).

cnf(2957,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2947]),
    [iquote('0:Rew:1.0,2947.0')] ).

cnf(4223,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4213]),
    [iquote('0:Rew:1.0,4213.0')] ).

cnf(4221,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4215]),
    [iquote('0:Rew:1.0,4215.0')] ).

cnf(4195,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4193]),
    [iquote('0:Rew:1.0,4193.0')] ).

cnf(4171,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4161]),
    [iquote('0:Rew:1.0,4161.0')] ).

cnf(2953,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2951]),
    [iquote('0:Rew:1.0,2951.0')] ).

cnf(4169,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,4163]),
    [iquote('0:Rew:1.0,4163.0')] ).

cnf(4001,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3998]),
    [iquote('0:Rew:1.0,3998.0')] ).

cnf(3905,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3903]),
    [iquote('0:Rew:1.0,3903.0')] ).

cnf(3898,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3888]),
    [iquote('0:Rew:1.0,3888.0')] ).

cnf(2898,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2896]),
    [iquote('0:Rew:1.0,2896.0')] ).

cnf(3896,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3890]),
    [iquote('0:Rew:1.0,3890.0')] ).

cnf(3870,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3868]),
    [iquote('0:Rew:1.0,3868.0')] ).

cnf(3850,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3840]),
    [iquote('0:Rew:1.0,3840.0')] ).

cnf(3846,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3844]),
    [iquote('0:Rew:1.0,3844.0')] ).

cnf(2843,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2833]),
    [iquote('0:Rew:1.0,2833.0')] ).

cnf(3680,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3677]),
    [iquote('0:Rew:1.0,3677.0')] ).

cnf(3673,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3663]),
    [iquote('0:Rew:1.0,3663.0')] ).

cnf(3620,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3614]),
    [iquote('0:Rew:1.0,3614.0')] ).

cnf(3566,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3558]),
    [iquote('0:Rew:1.0,3558.0')] ).

cnf(2841,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2835]),
    [iquote('0:Rew:1.0,2835.0')] ).

cnf(3553,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3545]),
    [iquote('0:Rew:1.0,3545.0')] ).

cnf(3527,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3519]),
    [iquote('0:Rew:1.0,3519.0')] ).

cnf(3514,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3506]),
    [iquote('0:Rew:1.0,3506.0')] ).

cnf(3501,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3493]),
    [iquote('0:Rew:1.0,3493.0')] ).

cnf(2768,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2766]),
    [iquote('0:Rew:1.0,2766.0')] ).

cnf(3490,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3480]),
    [iquote('0:Rew:1.0,3480.0')] ).

cnf(3488,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3482]),
    [iquote('0:Rew:1.0,3482.0')] ).

cnf(3466,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3458]),
    [iquote('0:Rew:1.0,3458.0')] ).

cnf(3455,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3445]),
    [iquote('0:Rew:1.0,3445.0')] ).

cnf(2709,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2702]),
    [iquote('0:Rew:1.0,2702.0')] ).

cnf(3453,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3447]),
    [iquote('0:Rew:1.0,3447.0')] ).

cnf(3442,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3432]),
    [iquote('0:Rew:1.0,3432.0')] ).

cnf(3440,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3434]),
    [iquote('0:Rew:1.0,3434.0')] ).

cnf(3429,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3419]),
    [iquote('0:Rew:1.0,3419.0')] ).

cnf(2642,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2631]),
    [iquote('0:Rew:1.0,2631.0')] ).

cnf(3427,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3421]),
    [iquote('0:Rew:1.0,3421.0')] ).

cnf(3397,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3387]),
    [iquote('0:Rew:1.0,3387.0')] ).

cnf(3395,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3389]),
    [iquote('0:Rew:1.0,3389.0')] ).

cnf(3380,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3372]),
    [iquote('0:Rew:1.0,3372.0')] ).

cnf(2575,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2565]),
    [iquote('0:Rew:1.0,2565.0')] ).

cnf(3367,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3359]),
    [iquote('0:Rew:1.0,3359.0')] ).

cnf(3354,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3351]),
    [iquote('0:Rew:1.0,3351.0')] ).

cnf(3328,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3316]),
    [iquote('0:Rew:1.0,3316.0')] ).

cnf(3298,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3290]),
    [iquote('0:Rew:1.0,3290.0')] ).

cnf(2522,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2512]),
    [iquote('0:Rew:1.0,2512.0')] ).

cnf(3285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3277]),
    [iquote('0:Rew:1.0,3277.0')] ).

cnf(3259,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3251]),
    [iquote('0:Rew:1.0,3251.0')] ).

cnf(3246,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3238]),
    [iquote('0:Rew:1.0,3238.0')] ).

cnf(3233,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3225]),
    [iquote('0:Rew:1.0,3225.0')] ).

cnf(2571,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2569]),
    [iquote('0:Rew:1.0,2569.0')] ).

cnf(3222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3212]),
    [iquote('0:Rew:1.0,3212.0')] ).

cnf(3220,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3214]),
    [iquote('0:Rew:1.0,3214.0')] ).

cnf(3198,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3190]),
    [iquote('0:Rew:1.0,3190.0')] ).

cnf(3187,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3177]),
    [iquote('0:Rew:1.0,3177.0')] ).

cnf(2518,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2516]),
    [iquote('0:Rew:1.0,2516.0')] ).

cnf(3185,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3179]),
    [iquote('0:Rew:1.0,3179.0')] ).

cnf(3174,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3164]),
    [iquote('0:Rew:1.0,3164.0')] ).

cnf(3172,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3166]),
    [iquote('0:Rew:1.0,3166.0')] ).

cnf(3161,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3151]),
    [iquote('0:Rew:1.0,3151.0')] ).

cnf(2329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2321]),
    [iquote('0:Rew:1.0,2321.0')] ).

cnf(3159,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3153]),
    [iquote('0:Rew:1.0,3153.0')] ).

cnf(3129,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3119]),
    [iquote('0:Rew:1.0,3119.0')] ).

cnf(3127,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3121]),
    [iquote('0:Rew:1.0,3121.0')] ).

cnf(3112,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3104]),
    [iquote('0:Rew:1.0,3104.0')] ).

cnf(2327,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2323]),
    [iquote('0:Rew:1.0,2323.0')] ).

cnf(3099,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3091]),
    [iquote('0:Rew:1.0,3091.0')] ).

cnf(3086,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3083]),
    [iquote('0:Rew:1.0,3083.0')] ).

cnf(3064,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3052]),
    [iquote('0:Rew:1.0,3052.0')] ).

cnf(3060,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3056]),
    [iquote('0:Rew:1.0,3056.0')] ).

cnf(157,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,149]),
    [iquote('0:Rew:1.0,149.0')] ).

cnf(3027,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,3021]),
    [iquote('0:Rew:1.0,3021.0')] ).

cnf(2992,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2986]),
    [iquote('0:Rew:1.0,2986.0')] ).

cnf(2944,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2934]),
    [iquote('0:Rew:1.0,2934.0')] ).

cnf(2940,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2938]),
    [iquote('0:Rew:1.0,2938.0')] ).

cnf(2201,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2191]),
    [iquote('0:Rew:1.0,2191.0')] ).

cnf(2929,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2921]),
    [iquote('0:Rew:1.0,2921.0')] ).

cnf(2916,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2913]),
    [iquote('0:Rew:1.0,2913.0')] ).

cnf(2909,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2904]),
    [iquote('0:Rew:1.0,2904.0')] ).

cnf(2891,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2884]),
    [iquote('0:Rew:1.0,2884.0')] ).

cnf(2134,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2132]),
    [iquote('0:Rew:1.0,2132.0')] ).

cnf(2878,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2873]),
    [iquote('0:Rew:1.0,2873.0')] ).

cnf(2869,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2862]),
    [iquote('0:Rew:1.0,2862.0')] ).

cnf(2856,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2849]),
    [iquote('0:Rew:1.0,2849.0')] ).

cnf(2830,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2821]),
    [iquote('0:Rew:1.0,2821.0')] ).

cnf(2083,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2073]),
    [iquote('0:Rew:1.0,2073.0')] ).

cnf(2813,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2806]),
    [iquote('0:Rew:1.0,2806.0')] ).

cnf(2800,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2791]),
    [iquote('0:Rew:1.0,2791.0')] ).

cnf(2726,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2719]),
    [iquote('0:Rew:1.0,2719.0')] ).

cnf(2696,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2689]),
    [iquote('0:Rew:1.0,2689.0')] ).

cnf(2079,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(s(o))),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2077]),
    [iquote('0:Rew:1.0,2077.0')] ).

cnf(2683,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2676]),
    [iquote('0:Rew:1.0,2676.0')] ).

cnf(2670,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2663]),
    [iquote('0:Rew:1.0,2663.0')] ).

cnf(2657,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2650]),
    [iquote('0:Rew:1.0,2650.0')] ).

cnf(2592,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2578]),
    [iquote('0:Rew:1.0,2578.0')] ).

cnf(1949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1939]),
    [iquote('0:Rew:1.0,1939.0')] ).

cnf(2590,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2580]),
    [iquote('0:Rew:1.0,2580.0')] ).

cnf(2560,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2557]),
    [iquote('0:Rew:1.0,2557.0')] ).

cnf(2553,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2548]),
    [iquote('0:Rew:1.0,2548.0')] ).

cnf(2544,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2537]),
    [iquote('0:Rew:1.0,2537.0')] ).

cnf(1886,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1884]),
    [iquote('0:Rew:1.0,1884.0')] ).

cnf(2531,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2526]),
    [iquote('0:Rew:1.0,2526.0')] ).

cnf(2509,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2502]),
    [iquote('0:Rew:1.0,2502.0')] ).

cnf(2496,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2489]),
    [iquote('0:Rew:1.0,2489.0')] ).

cnf(2483,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2474]),
    [iquote('0:Rew:1.0,2474.0')] ).

cnf(1831,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1821]),
    [iquote('0:Rew:1.0,1821.0')] ).

cnf(2466,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2459]),
    [iquote('0:Rew:1.0,2459.0')] ).

cnf(2444,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2435]),
    [iquote('0:Rew:1.0,2435.0')] ).

cnf(2370,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2363]),
    [iquote('0:Rew:1.0,2363.0')] ).

cnf(2357,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2350]),
    [iquote('0:Rew:1.0,2350.0')] ).

cnf(1829,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(s(o))),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1823]),
    [iquote('0:Rew:1.0,1823.0')] ).

cnf(2344,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2337]),
    [iquote('0:Rew:1.0,2337.0')] ).

cnf(2318,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2311]),
    [iquote('0:Rew:1.0,2311.0')] ).

cnf(2305,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2298]),
    [iquote('0:Rew:1.0,2298.0')] ).

cnf(2240,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2226]),
    [iquote('0:Rew:1.0,2226.0')] ).

cnf(2197,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2195]),
    [iquote('0:Rew:1.0,2195.0')] ).

cnf(2238,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2228]),
    [iquote('0:Rew:1.0,2228.0')] ).

cnf(2223,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2217]),
    [iquote('0:Rew:1.0,2217.0')] ).

cnf(2175,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2165]),
    [iquote('0:Rew:1.0,2165.0')] ).

cnf(2171,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(o),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2169]),
    [iquote('0:Rew:1.0,2169.0')] ).

cnf(1945,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1943]),
    [iquote('0:Rew:1.0,1943.0')] ).

cnf(2160,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2152]),
    [iquote('0:Rew:1.0,2152.0')] ).

cnf(2145,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2142]),
    [iquote('0:Rew:1.0,2142.0')] ).

cnf(2127,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2121]),
    [iquote('0:Rew:1.0,2121.0')] ).

cnf(2116,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2108]),
    [iquote('0:Rew:1.0,2108.0')] ).

cnf(1758,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(s(o)))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1754]),
    [iquote('0:Rew:1.0,1754.0')] ).

cnf(2103,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2097]),
    [iquote('0:Rew:1.0,2097.0')] ).

cnf(2101,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2099]),
    [iquote('0:Rew:1.0,2099.0')] ).

cnf(2068,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2056]),
    [iquote('0:Rew:1.0,2056.0')] ).

cnf(2828,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2816]),
    [iquote('0:Rew:1.0,2816.0')] ).

cnf(1707,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1703]),
    [iquote('0:Rew:1.0,1703.0')] ).

cnf(2824,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2819]),
    [iquote('0:Rew:1.0,2819.0')] ).

cnf(2798,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2786]),
    [iquote('0:Rew:1.0,2786.0')] ).

cnf(2796,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2787]),
    [iquote('0:Rew:1.0,2787.0')] ).

cnf(2761,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2751]),
    [iquote('0:Rew:1.0,2751.0')] ).

cnf(1632,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1628]),
    [iquote('0:Rew:1.0,1628.0')] ).

cnf(2759,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2752]),
    [iquote('0:Rew:1.0,2752.0')] ).

cnf(2748,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2738]),
    [iquote('0:Rew:1.0,2738.0')] ).

cnf(2746,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2739]),
    [iquote('0:Rew:1.0,2739.0')] ).

cnf(2735,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2729]),
    [iquote('0:Rew:1.0,2729.0')] ).

cnf(1565,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1561]),
    [iquote('0:Rew:1.0,1561.0')] ).

cnf(2722,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2718]),
    [iquote('0:Rew:1.0,2718.0')] ).

cnf(2692,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2688]),
    [iquote('0:Rew:1.0,2688.0')] ).

cnf(2679,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2675]),
    [iquote('0:Rew:1.0,2675.0')] ).

cnf(2668,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2660]),
    [iquote('0:Rew:1.0,2660.0')] ).

cnf(1504,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1498]),
    [iquote('0:Rew:1.0,1498.0')] ).

cnf(2655,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2647]),
    [iquote('0:Rew:1.0,2647.0')] ).

cnf(2627,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2613]),
    [iquote('0:Rew:1.0,2613.0')] ).

cnf(2625,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2614]),
    [iquote('0:Rew:1.0,2614.0')] ).

cnf(2623,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2616]),
    [iquote('0:Rew:1.0,2616.0')] ).

cnf(1502,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1500]),
    [iquote('0:Rew:1.0,1500.0')] ).

cnf(2608,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2605]),
    [iquote('0:Rew:1.0,2605.0')] ).

cnf(2599,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2595]),
    [iquote('0:Rew:1.0,2595.0')] ).

cnf(2586,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2584]),
    [iquote('0:Rew:1.0,2584.0')] ).

cnf(2066,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2057]),
    [iquote('0:Rew:1.0,2057.0')] ).

cnf(1439,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1437]),
    [iquote('0:Rew:1.0,1437.0')] ).

cnf(2042,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2030]),
    [iquote('0:Rew:1.0,2030.0')] ).

cnf(2481,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2469]),
    [iquote('0:Rew:1.0,2469.0')] ).

cnf(2477,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2472]),
    [iquote('0:Rew:1.0,2472.0')] ).

cnf(2442,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2430]),
    [iquote('0:Rew:1.0,2430.0')] ).

cnf(1370,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1368]),
    [iquote('0:Rew:1.0,1368.0')] ).

cnf(2440,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2431]),
    [iquote('0:Rew:1.0,2431.0')] ).

cnf(2414,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2404]),
    [iquote('0:Rew:1.0,2404.0')] ).

cnf(2412,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2405]),
    [iquote('0:Rew:1.0,2405.0')] ).

cnf(2401,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2391]),
    [iquote('0:Rew:1.0,2391.0')] ).

cnf(1311,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1301]),
    [iquote('0:Rew:1.0,1301.0')] ).

cnf(2397,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2394]),
    [iquote('0:Rew:1.0,2394.0')] ).

cnf(2379,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2373]),
    [iquote('0:Rew:1.0,2373.0')] ).

cnf(2366,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2362]),
    [iquote('0:Rew:1.0,2362.0')] ).

cnf(2353,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2349]),
    [iquote('0:Rew:1.0,2349.0')] ).

cnf(146,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,136]),
    [iquote('0:Rew:1.0,136.0')] ).

cnf(2340,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2336]),
    [iquote('0:Rew:1.0,2336.0')] ).

cnf(2316,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2308]),
    [iquote('0:Rew:1.0,2308.0')] ).

cnf(2303,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2295]),
    [iquote('0:Rew:1.0,2295.0')] ).

cnf(2292,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2278]),
    [iquote('0:Rew:1.0,2278.0')] ).

cnf(1307,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1305]),
    [iquote('0:Rew:1.0,1305.0')] ).

cnf(2290,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2279]),
    [iquote('0:Rew:1.0,2279.0')] ).

cnf(2286,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2283]),
    [iquote('0:Rew:1.0,2283.0')] ).

cnf(2273,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2270]),
    [iquote('0:Rew:1.0,2270.0')] ).

cnf(2247,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2243]),
    [iquote('0:Rew:1.0,2243.0')] ).

cnf(1185,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1175]),
    [iquote('0:Rew:1.0,1175.0')] ).

cnf(2234,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2232]),
    [iquote('0:Rew:1.0,2232.0')] ).

cnf(2038,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2033]),
    [iquote('0:Rew:1.0,2033.0')] ).

cnf(2023,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,2020]),
    [iquote('0:Rew:1.0,2020.0')] ).

cnf(1997,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1991]),
    [iquote('0:Rew:1.0,1991.0')] ).

cnf(1122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1120]),
    [iquote('0:Rew:1.0,1120.0')] ).

cnf(1986,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1978]),
    [iquote('0:Rew:1.0,1978.0')] ).

cnf(1973,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1967]),
    [iquote('0:Rew:1.0,1967.0')] ).

cnf(1971,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1969]),
    [iquote('0:Rew:1.0,1969.0')] ).

cnf(1960,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1952]),
    [iquote('0:Rew:1.0,1952.0')] ).

cnf(1063,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1049]),
    [iquote('0:Rew:1.0,1049.0')] ).

cnf(1934,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1928]),
    [iquote('0:Rew:1.0,1928.0')] ).

cnf(1932,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1930]),
    [iquote('0:Rew:1.0,1930.0')] ).

cnf(1921,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1913]),
    [iquote('0:Rew:1.0,1913.0')] ).

cnf(1901,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1891]),
    [iquote('0:Rew:1.0,1891.0')] ).

cnf(1061,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1050]),
    [iquote('0:Rew:1.0,1050.0')] ).

cnf(1897,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1894]),
    [iquote('0:Rew:1.0,1894.0')] ).

cnf(1870,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1860]),
    [iquote('0:Rew:1.0,1860.0')] ).

cnf(1866,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1863]),
    [iquote('0:Rew:1.0,1863.0')] ).

cnf(1816,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1808]),
    [iquote('0:Rew:1.0,1808.0')] ).

cnf(994,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,984]),
    [iquote('0:Rew:1.0,984.0')] ).

cnf(1803,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1797]),
    [iquote('0:Rew:1.0,1797.0')] ).

cnf(1801,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1799]),
    [iquote('0:Rew:1.0,1799.0')] ).

cnf(1790,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1782]),
    [iquote('0:Rew:1.0,1782.0')] ).

cnf(1738,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),s(o)),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1736]),
    [iquote('0:Rew:1.0,1736.0')] ).

cnf(927,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,925]),
    [iquote('0:Rew:1.0,925.0')] ).

cnf(1731,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1721]),
    [iquote('0:Rew:1.0,1721.0')] ).

cnf(1727,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1725]),
    [iquote('0:Rew:1.0,1725.0')] ).

cnf(1698,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1686]),
    [iquote('0:Rew:1.0,1686.0')] ).

cnf(1696,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1688]),
    [iquote('0:Rew:1.0,1688.0')] ).

cnf(868,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,854]),
    [iquote('0:Rew:1.0,854.0')] ).

cnf(1681,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1669]),
    [iquote('0:Rew:1.0,1669.0')] ).

cnf(1679,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1671]),
    [iquote('0:Rew:1.0,1671.0')] ).

cnf(1604,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1596]),
    [iquote('0:Rew:1.0,1596.0')] ).

cnf(1528,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1520]),
    [iquote('0:Rew:1.0,1520.0')] ).

cnf(864,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,857]),
    [iquote('0:Rew:1.0,857.0')] ).

cnf(1513,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1511]),
    [iquote('0:Rew:1.0,1511.0')] ).

cnf(1493,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1483]),
    [iquote('0:Rew:1.0,1483.0')] ).

cnf(1489,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1487]),
    [iquote('0:Rew:1.0,1487.0')] ).

cnf(1478,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1470]),
    [iquote('0:Rew:1.0,1470.0')] ).

cnf(1181,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1179]),
    [iquote('0:Rew:1.0,1179.0')] ).

cnf(1465,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1457]),
    [iquote('0:Rew:1.0,1457.0')] ).

cnf(1454,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1444]),
    [iquote('0:Rew:1.0,1444.0')] ).

cnf(1452,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1446]),
    [iquote('0:Rew:1.0,1446.0')] ).

cnf(1432,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1418]),
    [iquote('0:Rew:1.0,1418.0')] ).

cnf(1057,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1055]),
    [iquote('0:Rew:1.0,1055.0')] ).

cnf(1430,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1420]),
    [iquote('0:Rew:1.0,1420.0')] ).

cnf(1428,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1422]),
    [iquote('0:Rew:1.0,1422.0')] ).

cnf(1415,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1405]),
    [iquote('0:Rew:1.0,1405.0')] ).

cnf(1413,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1407]),
    [iquote('0:Rew:1.0,1407.0')] ).

cnf(990,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,988]),
    [iquote('0:Rew:1.0,988.0')] ).

cnf(1402,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1388]),
    [iquote('0:Rew:1.0,1388.0')] ).

cnf(1400,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1390]),
    [iquote('0:Rew:1.0,1390.0')] ).

cnf(1398,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1392]),
    [iquote('0:Rew:1.0,1392.0')] ).

cnf(1383,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1375]),
    [iquote('0:Rew:1.0,1375.0')] ).

cnf(862,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,860]),
    [iquote('0:Rew:1.0,860.0')] ).

cnf(1361,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1353]),
    [iquote('0:Rew:1.0,1353.0')] ).

cnf(1337,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1327]),
    [iquote('0:Rew:1.0,1327.0')] ).

cnf(1335,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1329]),
    [iquote('0:Rew:1.0,1329.0')] ).

cnf(1324,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1314]),
    [iquote('0:Rew:1.0,1314.0')] ).

cnf(813,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,809]),
    [iquote('0:Rew:1.0,809.0')] ).

cnf(1322,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1316]),
    [iquote('0:Rew:1.0,1316.0')] ).

cnf(1259,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1254]),
    [iquote('0:Rew:1.0,1254.0')] ).

cnf(1237,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1230]),
    [iquote('0:Rew:1.0,1230.0')] ).

cnf(1224,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1215]),
    [iquote('0:Rew:1.0,1215.0')] ).

cnf(752,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,748]),
    [iquote('0:Rew:1.0,748.0')] ).

cnf(1207,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1202]),
    [iquote('0:Rew:1.0,1202.0')] ).

cnf(1198,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1191]),
    [iquote('0:Rew:1.0,1191.0')] ).

cnf(1159,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1152]),
    [iquote('0:Rew:1.0,1152.0')] ).

cnf(1137,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1130]),
    [iquote('0:Rew:1.0,1130.0')] ).

cnf(707,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,703]),
    [iquote('0:Rew:1.0,703.0')] ).

cnf(1106,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1099]),
    [iquote('0:Rew:1.0,1099.0')] ).

cnf(1046,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1039]),
    [iquote('0:Rew:1.0,1039.0')] ).

cnf(1020,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1013]),
    [iquote('0:Rew:1.0,1013.0')] ).

cnf(968,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,959]),
    [iquote('0:Rew:1.0,959.0')] ).

cnf(650,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,648]),
    [iquote('0:Rew:1.0,648.0')] ).

cnf(920,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,910]),
    [iquote('0:Rew:1.0,910.0')] ).

cnf(918,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,911]),
    [iquote('0:Rew:1.0,911.0')] ).

cnf(907,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,901]),
    [iquote('0:Rew:1.0,901.0')] ).

cnf(1222,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1210]),
    [iquote('0:Rew:1.0,1210.0')] ).

cnf(603,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(o)))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,593]),
    [iquote('0:Rew:1.0,593.0')] ).

cnf(1220,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1211]),
    [iquote('0:Rew:1.0,1211.0')] ).

cnf(1168,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(o,o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1165]),
    [iquote('0:Rew:1.0,1165.0')] ).

cnf(1146,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1140]),
    [iquote('0:Rew:1.0,1140.0')] ).

cnf(1135,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1127]),
    [iquote('0:Rew:1.0,1127.0')] ).

cnf(532,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,530]),
    [iquote('0:Rew:1.0,530.0')] ).

cnf(1104,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1096]),
    [iquote('0:Rew:1.0,1096.0')] ).

cnf(1093,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1079]),
    [iquote('0:Rew:1.0,1079.0')] ).

cnf(1091,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1081]),
    [iquote('0:Rew:1.0,1081.0')] ).

cnf(1087,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1084]),
    [iquote('0:Rew:1.0,1084.0')] ).

cnf(473,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,459]),
    [iquote('0:Rew:1.0,459.0')] ).

cnf(1076,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1066]),
    [iquote('0:Rew:1.0,1066.0')] ).

cnf(1072,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1069]),
    [iquote('0:Rew:1.0,1069.0')] ).

cnf(1042,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1038]),
    [iquote('0:Rew:1.0,1038.0')] ).

cnf(1029,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1025]),
    [iquote('0:Rew:1.0,1025.0')] ).

cnf(469,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,463]),
    [iquote('0:Rew:1.0,463.0')] ).

cnf(1018,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,1010]),
    [iquote('0:Rew:1.0,1010.0')] ).

cnf(1007,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,997]),
    [iquote('0:Rew:1.0,997.0')] ).

cnf(1005,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,998]),
    [iquote('0:Rew:1.0,998.0')] ).

cnf(964,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,956]),
    [iquote('0:Rew:1.0,956.0')] ).

cnf(414,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,412]),
    [iquote('0:Rew:1.0,412.0')] ).

cnf(962,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,957]),
    [iquote('0:Rew:1.0,957.0')] ).

cnf(949,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,945]),
    [iquote('0:Rew:1.0,945.0')] ).

cnf(938,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(s(o))),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,934]),
    [iquote('0:Rew:1.0,934.0')] ).

cnf(896,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,884]),
    [iquote('0:Rew:1.0,884.0')] ).

cnf(355,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,341]),
    [iquote('0:Rew:1.0,341.0')] ).

cnf(894,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,886]),
    [iquote('0:Rew:1.0,886.0')] ).

cnf(892,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(o),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,887]),
    [iquote('0:Rew:1.0,887.0')] ).

cnf(877,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,875]),
    [iquote('0:Rew:1.0,875.0')] ).

cnf(831,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,828]),
    [iquote('0:Rew:1.0,828.0')] ).

cnf(353,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,343]),
    [iquote('0:Rew:1.0,343.0')] ).

cnf(822,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,820]),
    [iquote('0:Rew:1.0,820.0')] ).

cnf(804,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,796]),
    [iquote('0:Rew:1.0,796.0')] ).

cnf(725,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,717]),
    [iquote('0:Rew:1.0,717.0')] ).

cnf(700,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,690]),
    [iquote('0:Rew:1.0,690.0')] ).

cnf(599,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,597]),
    [iquote('0:Rew:1.0,597.0')] ).

cnf(696,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,694]),
    [iquote('0:Rew:1.0,694.0')] ).

cnf(674,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,668]),
    [iquote('0:Rew:1.0,668.0')] ).

cnf(663,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,655]),
    [iquote('0:Rew:1.0,655.0')] ).

cnf(612,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,606]),
    [iquote('0:Rew:1.0,606.0')] ).

cnf(467,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,465]),
    [iquote('0:Rew:1.0,465.0')] ).

cnf(588,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(s(o)))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,580]),
    [iquote('0:Rew:1.0,580.0')] ).

cnf(547,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,537]),
    [iquote('0:Rew:1.0,537.0')] ).

cnf(545,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,538]),
    [iquote('0:Rew:1.0,538.0')] ).

cnf(525,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,515]),
    [iquote('0:Rew:1.0,515.0')] ).

cnf(349,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,347]),
    [iquote('0:Rew:1.0,347.0')] ).

cnf(523,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,517]),
    [iquote('0:Rew:1.0,517.0')] ).

cnf(512,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,498]),
    [iquote('0:Rew:1.0,498.0')] ).

cnf(510,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,500]),
    [iquote('0:Rew:1.0,500.0')] ).

cnf(508,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,501]),
    [iquote('0:Rew:1.0,501.0')] ).

cnf(292,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,288]),
    [iquote('0:Rew:1.0,288.0')] ).

cnf(495,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,489]),
    [iquote('0:Rew:1.0,489.0')] ).

cnf(484,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,478]),
    [iquote('0:Rew:1.0,478.0')] ).

cnf(456,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,442]),
    [iquote('0:Rew:1.0,442.0')] ).

cnf(454,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(s(o))),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,444]),
    [iquote('0:Rew:1.0,444.0')] ).

cnf(235,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,233]),
    [iquote('0:Rew:1.0,233.0')] ).

cnf(452,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,445]),
    [iquote('0:Rew:1.0,445.0')] ).

cnf(437,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,434]),
    [iquote('0:Rew:1.0,434.0')] ).

cnf(428,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,425]),
    [iquote('0:Rew:1.0,425.0')] ).

cnf(398,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,387]),
    [iquote('0:Rew:1.0,387.0')] ).

cnf(176,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,162]),
    [iquote('0:Rew:1.0,162.0')] ).

cnf(396,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),o),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),s(o)),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,389]),
    [iquote('0:Rew:1.0,389.0')] ).

cnf(381,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,374]),
    [iquote('0:Rew:1.0,374.0')] ).

cnf(329,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,322]),
    [iquote('0:Rew:1.0,322.0')] ).

cnf(316,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,309]),
    [iquote('0:Rew:1.0,309.0')] ).

cnf(172,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),o),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,165]),
    [iquote('0:Rew:1.0,165.0')] ).

cnf(285,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,276]),
    [iquote('0:Rew:1.0,276.0')] ).

cnf(250,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,240]),
    [iquote('0:Rew:1.0,240.0')] ).

cnf(219,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,209]),
    [iquote('0:Rew:1.0,209.0')] ).

cnf(394,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,384]),
    [iquote('0:Rew:1.0,384.0')] ).

cnf(115,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,101]),
    [iquote('0:Rew:1.0,101.0')] ).

cnf(368,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,358]),
    [iquote('0:Rew:1.0,358.0')] ).

cnf(364,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(o,o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,361]),
    [iquote('0:Rew:1.0,361.0')] ).

cnf(338,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,332]),
    [iquote('0:Rew:1.0,332.0')] ).

cnf(325,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,321]),
    [iquote('0:Rew:1.0,321.0')] ).

cnf(113,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),o),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,102]),
    [iquote('0:Rew:1.0,102.0')] ).

cnf(312,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,s(o)),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,308]),
    [iquote('0:Rew:1.0,308.0')] ).

cnf(303,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(s(o)),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,297]),
    [iquote('0:Rew:1.0,297.0')] ).

cnf(283,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,271]),
    [iquote('0:Rew:1.0,271.0')] ).

cnf(279,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(o),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,274]),
    [iquote('0:Rew:1.0,274.0')] ).

cnf(170,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,168]),
    [iquote('0:Rew:1.0,168.0')] ).

cnf(266,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(o,o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,263]),
    [iquote('0:Rew:1.0,263.0')] ).

cnf(257,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(o,s(o))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,253]),
    [iquote('0:Rew:1.0,253.0')] ).

cnf(246,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(s(o),s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,244]),
    [iquote('0:Rew:1.0,244.0')] ).

cnf(215,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),o),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,212]),
    [iquote('0:Rew:1.0,212.0')] ).

cnf(98,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,88]),
    [iquote('0:Rew:1.0,88.0')] ).

cnf(204,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(o,o),e2(s(o),o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,196]),
    [iquote('0:Rew:1.0,196.0')] ).

cnf(202,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(o),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,197]),
    [iquote('0:Rew:1.0,197.0')] ).

cnf(187,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(s(o)),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(o),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,185]),
    [iquote('0:Rew:1.0,185.0')] ).

cnf(155,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,151]),
    [iquote('0:Rew:1.0,151.0')] ).

cnf(96,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(s(o))),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,90]),
    [iquote('0:Rew:1.0,90.0')] ).

cnf(142,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),s(o)),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),o),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,140]),
    [iquote('0:Rew:1.0,140.0')] ).

cnf(131,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,129]),
    [iquote('0:Rew:1.0,129.0')] ).

cnf(122,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,118]),
    [iquote('0:Rew:1.0,118.0')] ).

cnf(109,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(s(o),o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,107]),
    [iquote('0:Rew:1.0,107.0')] ).

cnf(94,plain,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(s(o))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    inference(rew,[status(thm),theory(equality)],[1,92]),
    [iquote('0:Rew:1.0,92.0')] ).

cnf(43,axiom,
    equal(state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o))))),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(38,axiom,
    equal(ifeq(state(bb(u,v),w,x,y,z,x1,x2,x3,x4,x5,e1(u,s(s(v))),e2(s(u),s(s(v)))),true__dfg,state(bb(u,s(v)),w,x,y,z,x1,x2,x3,x4,x5,e1(u,v),e2(s(u),v)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(40,axiom,
    equal(ifeq(state(bb(u,v),w,x,y,z,x1,x2,x3,x4,x5,e1(s(s(u)),v),e2(s(s(u)),s(v))),true__dfg,state(bb(s(u),v),w,x,y,z,x1,x2,x3,x4,x5,e1(u,v),e2(u,s(v))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(39,axiom,
    equal(ifeq(state(bb(u,s(v)),w,x,y,z,x1,x2,x3,x4,x5,e1(u,v),e2(s(u),v)),true__dfg,state(bb(u,v),w,x,y,z,x1,x2,x3,x4,x5,e1(u,s(s(v))),e2(s(u),s(s(v)))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(41,axiom,
    equal(ifeq(state(bb(s(u),v),w,x,y,z,x1,x2,x3,x4,x5,e1(u,v),e2(u,s(v))),true__dfg,state(bb(u,v),w,x,y,z,x1,x2,x3,x4,x5,e1(s(s(u)),v),e2(s(s(u)),s(v))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(36,axiom,
    equal(ifeq(state(u,v,w,x,y,h(z,x1),x2,x3,x4,x5,e1(s(z),x1),e2(s(z),s(x1))),true__dfg,state(u,v,w,x,y,h(s(z),x1),x2,x3,x4,x5,e1(z,x1),e2(z,s(x1))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(37,axiom,
    equal(ifeq(state(u,v,w,x,y,h(s(z),x1),x2,x3,x4,x5,e1(z,x1),e2(z,s(x1))),true__dfg,state(u,v,w,x,y,h(z,x1),x2,x3,x4,x5,e1(s(z),x1),e2(s(z),s(x1))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(30,axiom,
    equal(ifeq(state(u,v,w,x,v4(y,z),x1,x2,x3,x4,x5,e1(y,s(z)),e2(s(y),s(z))),true__dfg,state(u,v,w,x,v4(y,s(z)),x1,x2,x3,x4,x5,e1(y,z),e2(s(y),z)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(31,axiom,
    equal(ifeq(state(u,v,w,x,v4(y,s(z)),x1,x2,x3,x4,x5,e1(y,z),e2(s(y),z)),true__dfg,state(u,v,w,x,v4(y,z),x1,x2,x3,x4,x5,e1(y,s(z)),e2(s(y),s(z))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(26,axiom,
    equal(ifeq(state(u,v,w,v3(x,y),z,x1,x2,x3,x4,x5,e1(x,s(y)),e2(s(x),s(y))),true__dfg,state(u,v,w,v3(x,s(y)),z,x1,x2,x3,x4,x5,e1(x,y),e2(s(x),y)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(27,axiom,
    equal(ifeq(state(u,v,w,v3(x,s(y)),z,x1,x2,x3,x4,x5,e1(x,y),e2(s(x),y)),true__dfg,state(u,v,w,v3(x,y),z,x1,x2,x3,x4,x5,e1(x,s(y)),e2(s(x),s(y))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(22,axiom,
    equal(ifeq(state(u,v,v2(w,x),y,z,x1,x2,x3,x4,x5,e1(w,s(x)),e2(s(w),s(x))),true__dfg,state(u,v,v2(w,s(x)),y,z,x1,x2,x3,x4,x5,e1(w,x),e2(s(w),x)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(23,axiom,
    equal(ifeq(state(u,v,v2(w,s(x)),y,z,x1,x2,x3,x4,x5,e1(w,x),e2(s(w),x)),true__dfg,state(u,v,v2(w,x),y,z,x1,x2,x3,x4,x5,e1(w,s(x)),e2(s(w),s(x))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(18,axiom,
    equal(ifeq(state(u,v1(v,w),x,y,z,x1,x2,x3,x4,x5,e1(v,s(w)),e2(s(v),s(w))),true__dfg,state(u,v1(v,s(w)),x,y,z,x1,x2,x3,x4,x5,e1(v,w),e2(s(v),w)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(19,axiom,
    equal(ifeq(state(u,v1(v,s(w)),x,y,z,x1,x2,x3,x4,x5,e1(v,w),e2(s(v),w)),true__dfg,state(u,v1(v,w),x,y,z,x1,x2,x3,x4,x5,e1(v,s(w)),e2(s(v),s(w))),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(34,axiom,
    equal(ifeq(state(u,v,w,x,y,h(z,x1),x2,x3,x4,x5,e1(z,s(s(x1))),x6),true__dfg,state(u,v,w,x,y,h(z,s(x1)),x2,x3,x4,x5,e1(z,x1),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(35,axiom,
    equal(ifeq(state(u,v,w,x,y,h(z,s(x1)),x2,x3,x4,x5,e1(z,x1),x6),true__dfg,state(u,v,w,x,y,h(z,x1),x2,x3,x4,x5,e1(z,s(s(x1))),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(32,axiom,
    equal(ifeq(state(u,v,w,x,v4(y,z),x1,x2,x3,x4,x5,e1(s(s(y)),z),x6),true__dfg,state(u,v,w,x,v4(s(y),z),x1,x2,x3,x4,x5,e1(y,z),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(33,axiom,
    equal(ifeq(state(u,v,w,x,v4(s(y),z),x1,x2,x3,x4,x5,e1(y,z),x6),true__dfg,state(u,v,w,x,v4(y,z),x1,x2,x3,x4,x5,e1(s(s(y)),z),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(28,axiom,
    equal(ifeq(state(u,v,w,v3(x,y),z,x1,x2,x3,x4,x5,e1(s(s(x)),y),x6),true__dfg,state(u,v,w,v3(s(x),y),z,x1,x2,x3,x4,x5,e1(x,y),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(29,axiom,
    equal(ifeq(state(u,v,w,v3(s(x),y),z,x1,x2,x3,x4,x5,e1(x,y),x6),true__dfg,state(u,v,w,v3(x,y),z,x1,x2,x3,x4,x5,e1(s(s(x)),y),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(24,axiom,
    equal(ifeq(state(u,v,v2(w,x),y,z,x1,x2,x3,x4,x5,e1(s(s(w)),x),x6),true__dfg,state(u,v,v2(s(w),x),y,z,x1,x2,x3,x4,x5,e1(w,x),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(25,axiom,
    equal(ifeq(state(u,v,v2(s(w),x),y,z,x1,x2,x3,x4,x5,e1(w,x),x6),true__dfg,state(u,v,v2(w,x),y,z,x1,x2,x3,x4,x5,e1(s(s(w)),x),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(20,axiom,
    equal(ifeq(state(u,v1(v,w),x,y,z,x1,x2,x3,x4,x5,e1(s(s(v)),w),x6),true__dfg,state(u,v1(s(v),w),x,y,z,x1,x2,x3,x4,x5,e1(v,w),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(21,axiom,
    equal(ifeq(state(u,v1(s(v),w),x,y,z,x1,x2,x3,x4,x5,e1(v,w),x6),true__dfg,state(u,v1(v,w),x,y,z,x1,x2,x3,x4,x5,e1(s(s(v)),w),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(14,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,x3,s4(x4,x5),e1(x4,s(x5)),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,x3,s4(x4,s(x5)),e1(x4,x5),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(16,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,x3,s4(x4,x5),e1(s(x4),x5),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,x3,s4(s(x4),x5),e1(x4,x5),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(15,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,x3,s4(x4,s(x5)),e1(x4,x5),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,x3,s4(x4,x5),e1(x4,s(x5)),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(17,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,x3,s4(s(x4),x5),e1(x4,x5),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,x3,s4(x4,x5),e1(s(x4),x5),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(10,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,s3(x3,x4),x5,e1(x3,s(x4)),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,s3(x3,s(x4)),x5,e1(x3,x4),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(12,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,s3(x3,x4),x5,e1(s(x3),x4),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,s3(s(x3),x4),x5,e1(x3,x4),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(11,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,s3(x3,s(x4)),x5,e1(x3,x4),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,s3(x3,x4),x5,e1(x3,s(x4)),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(13,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,s3(s(x3),x4),x5,e1(x3,x4),x6),true__dfg,state(u,v,w,x,y,z,x1,x2,s3(x3,x4),x5,e1(s(x3),x4),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(6,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,s2(x2,x3),x4,x5,e1(x2,s(x3)),x6),true__dfg,state(u,v,w,x,y,z,x1,s2(x2,s(x3)),x4,x5,e1(x2,x3),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(8,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,s2(x2,x3),x4,x5,e1(s(x2),x3),x6),true__dfg,state(u,v,w,x,y,z,x1,s2(s(x2),x3),x4,x5,e1(x2,x3),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(7,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,s2(x2,s(x3)),x4,x5,e1(x2,x3),x6),true__dfg,state(u,v,w,x,y,z,x1,s2(x2,x3),x4,x5,e1(x2,s(x3)),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(9,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,s2(s(x2),x3),x4,x5,e1(x2,x3),x6),true__dfg,state(u,v,w,x,y,z,x1,s2(x2,x3),x4,x5,e1(s(x2),x3),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(2,axiom,
    equal(ifeq(state(u,v,w,x,y,z,s1(x1,x2),x3,x4,x5,e1(x1,s(x2)),x6),true__dfg,state(u,v,w,x,y,z,s1(x1,s(x2)),x3,x4,x5,e1(x1,x2),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(4,axiom,
    equal(ifeq(state(u,v,w,x,y,z,s1(x1,x2),x3,x4,x5,e1(s(x1),x2),x6),true__dfg,state(u,v,w,x,y,z,s1(s(x1),x2),x3,x4,x5,e1(x1,x2),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(3,axiom,
    equal(ifeq(state(u,v,w,x,y,z,s1(x1,s(x2)),x3,x4,x5,e1(x1,x2),x6),true__dfg,state(u,v,w,x,y,z,s1(x1,x2),x3,x4,x5,e1(x1,s(x2)),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(5,axiom,
    equal(ifeq(state(u,v,w,x,y,z,s1(s(x1),x2),x3,x4,x5,e1(x1,x2),x6),true__dfg,state(u,v,w,x,y,z,s1(x1,x2),x3,x4,x5,e1(s(x1),x2),x6),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(42,axiom,
    equal(ifeq(state(u,v,w,x,y,z,x1,x2,x3,x4,e1(x5,x6),e2(x7,x8)),true__dfg,state(u,v,w,x,y,z,x1,x2,x3,x4,e1(x7,x8),e2(x5,x6)),true__dfg),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(44,axiom,
    ~ equal(state(bb(s(s(s(o))),s(o)),u,v,w,x,y,z,x1,x2,x3,x4,x5),true__dfg),
    file('PUZ049-10.p',unknown),
    [] ).

cnf(1,axiom,
    equal(ifeq(u,u,v,w),v),
    file('PUZ049-10.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ049-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 01:52:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 20.83/21.06  
% 20.83/21.06  SPASS V 3.9 
% 20.83/21.06  SPASS beiseite: Completion found.
% 20.83/21.06  % SZS status CounterSatisfiable
% 20.83/21.06  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 20.83/21.06  SPASS derived 12995 clauses, backtracked 0 clauses, performed 0 splits and kept 2748 clauses.
% 20.83/21.06  SPASS allocated 80834 KBytes.
% 20.83/21.06  SPASS spent	0:0:20.72 on the problem.
% 20.83/21.06  		0:00:00.04 for the input.
% 20.83/21.06  		0:00:00.00 for the FLOTTER CNF translation.
% 20.83/21.06  		0:00:01.65 for inferences.
% 20.83/21.06  		0:00:00.00 for the backtracking.
% 20.83/21.06  		0:0:18.44 for the reduction.
% 20.83/21.06  
% 20.83/21.06  
% 20.83/21.06   The saturated set of worked-off clauses is :
% 20.83/21.06  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------