%------------------------------------------------------------------------------
% File     : EQP---0.9e
% Problem  : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_eqp %s

% Computer : n026.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 : Sat Jul 16 08:46:46 EDT 2022

% Result   : Unsatisfiable 4.74s 5.13s
% Output   : Refutation 4.74s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),B),
    file('GRP426-1.p',unknown),
    [] ).

cnf(2,plain,
    ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
    file('GRP426-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(D,inverse(multiply(inverse(B),C)))),multiply(D,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[1,1]),
    [iquote('para(1,1)')] ).

cnf(4,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[3]),
    [iquote('flip(3)')] ).

cnf(5,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(multiply(inverse(C),C))),C),
    inference(para,[status(thm),theory(equality)],[1,1]),
    [iquote('para(1,1)')] ).

cnf(6,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),B)),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),D),
    inference(para,[status(thm),theory(equality)],[1,1]),
    [iquote('para(1,1)')] ).

cnf(7,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))))),multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(inverse(multiply(inverse(D),D)))))),
    inference(para,[status(thm),theory(equality)],[3,1]),
    [iquote('para(3,1)')] ).

cnf(8,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(B),C)))),multiply(E,inverse(C)))))),multiply(D,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
    inference(flip,[status(thm),theory(equality)],[7]),
    [iquote('flip(7)')] ).

cnf(11,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),multiply(A,inverse(C))),B),
    inference(para,[status(thm),theory(equality)],[3,1]),
    [iquote('para(3,1)')] ).

cnf(12,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(inverse(C),C)),D)))),multiply(E,inverse(D)))),
    inference(para,[status(thm),theory(equality)],[1,3]),
    [iquote('para(1,3)')] ).

cnf(13,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C)))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),B)))),multiply(E,inverse(B)))),inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[12]),
    [iquote('flip(12)')] ).

cnf(14,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))),
    inference(para,[status(thm),theory(equality)],[11,1]),
    [iquote('para(11,1)')] ).

cnf(15,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[14]),
    [iquote('flip(14)')] ).

cnf(16,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),B)))),multiply(D,inverse(B)))),inverse(B)))),
    inference(para,[status(thm),theory(equality)],[5,1]),
    [iquote('para(5,1)')] ).

cnf(18,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(inverse(A),A))),A),
    inference(para,[status(thm),theory(equality)],[5,1]),
    [iquote('para(5,1)')] ).

cnf(19,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),C)),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),D),
    inference(para,[status(thm),theory(equality)],[5,1]),
    [iquote('para(5,1)')] ).

cnf(22,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C))),multiply(inverse(multiply(D,inverse(multiply(inverse(B),C)))),multiply(D,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[3,3]),
    [iquote('para(3,3)')] ).

cnf(23,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))))),multiply(A,inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))),multiply(E,inverse(multiply(inverse(C),D)))),
    inference(para,[status(thm),theory(equality)],[22,1]),
    [iquote('para(22,1)')] ).

cnf(24,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))),multiply(A,inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))),multiply(E,inverse(multiply(inverse(C),D)))),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(25,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[4,1]),
    [iquote('para(4,1)')] ).

cnf(26,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(B),B)))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),B)))),multiply(D,inverse(B)))),inverse(B)))),inverse(B)))),
    inference(para,[status(thm),theory(equality)],[18,1]),
    [iquote('para(18,1)')] ).

cnf(28,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(inverse(A),A))),A),
    inference(para,[status(thm),theory(equality)],[18,1]),
    [iquote('para(18,1)')] ).

cnf(29,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(inverse(D),multiply(inverse(A),A))))),A)),inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),D),
    inference(para,[status(thm),theory(equality)],[18,1]),
    [iquote('para(18,1)')] ).

cnf(31,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(para,[status(thm),theory(equality)],[25,1]),
    [iquote('para(25,1)')] ).

cnf(36,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(E),C)))),multiply(D,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),E)),
    inference(para,[status(thm),theory(equality)],[6,1]),
    [iquote('para(6,1)')] ).

cnf(37,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),B),multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),
    inference(flip,[status(thm),theory(equality)],[36]),
    [iquote('flip(36)')] ).

cnf(40,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))),inverse(multiply(inverse(A),multiply(inverse(D),D))))),C)),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))),E)))),multiply(F,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[6,3]),
    [iquote('para(6,3)')] ).

cnf(41,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))),C)))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),B)))),multiply(E,inverse(B)))),inverse(multiply(inverse(D),multiply(inverse(B),B))))),F)),inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[40]),
    [iquote('flip(40)')] ).

cnf(42,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(multiply(inverse(inverse(C)),inverse(C))),multiply(inverse(inverse(C)),inverse(C))))),multiply(inverse(inverse(C)),inverse(multiply(inverse(E),C)))),
    inference(para,[status(thm),theory(equality)],[4,6]),
    [iquote('para(4,6)')] ).

cnf(43,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(inverse(multiply(inverse(D),D)))))))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D))))))))),multiply(inverse(multiply(E,inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(C),D)))),multiply(F,inverse(D)))))),multiply(E,inverse(inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))))),
    inference(para,[status(thm),theory(equality)],[7,1]),
    [iquote('para(7,1)')] ).

cnf(49,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(B,inverse(D))),multiply(B,inverse(D)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(B,inverse(D))),multiply(B,inverse(D))))),inverse(multiply(inverse(multiply(B,inverse(D))),multiply(B,inverse(D))))))),multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(multiply(B,inverse(D)))))),
    inference(para,[status(thm),theory(equality)],[14,1]),
    [iquote('para(14,1)')] ).

cnf(53,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))),C))),B),
    inference(para,[status(thm),theory(equality)],[14,1]),
    [iquote('para(14,1)')] ).

cnf(54,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(multiply(D,inverse(E)))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(E))))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(E),E)))),E)))),
    inference(para,[status(thm),theory(equality)],[1,14]),
    [iquote('para(1,14)')] ).

cnf(55,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),B)))),multiply(E,inverse(B)))),inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[54]),
    [iquote('flip(54)')] ).

cnf(56,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),inverse(D)))),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),inverse(D)))),inverse(multiply(inverse(D),D)))),D))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(C),inverse(D)))),inverse(multiply(inverse(D),D)))),D))))),C),
    inference(para,[status(thm),theory(equality)],[53,1]),
    [iquote('para(53,1)')] ).

cnf(57,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(D)))),inverse(multiply(inverse(D),D)))),D))))),C)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(D)))),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(D)))),inverse(multiply(inverse(D),D)))),D)))),B),
    inference(para,[status(thm),theory(equality)],[53,1]),
    [iquote('para(53,1)')] ).

cnf(60,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[7,3]),1]),
    [iquote('para(7,3),demod([1])')] ).

cnf(64,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(D)))),inverse(multiply(inverse(D),D)))),D)),
    inference(para,[status(thm),theory(equality)],[53,25]),
    [iquote('para(53,25)')] ).

cnf(65,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(D),D)))),
    inference(flip,[status(thm),theory(equality)],[64]),
    [iquote('flip(64)')] ).

cnf(69,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(D),D)))),D)))),
    inference(para,[status(thm),theory(equality)],[53,14]),
    [iquote('para(53,14)')] ).

cnf(70,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(C,inverse(D)))),inverse(multiply(inverse(D),D)))),D)),inverse(multiply(inverse(E),E)))),E))),multiply(inverse(multiply(inverse(B),multiply(C,inverse(multiply(A,inverse(E)))))),inverse(multiply(inverse(multiply(A,inverse(E))),multiply(A,inverse(E)))))),
    inference(flip,[status(thm),theory(equality)],[69]),
    [iquote('flip(69)')] ).

cnf(71,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))))),multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))),
    inference(para,[status(thm),theory(equality)],[53,14]),
    [iquote('para(53,14)')] ).

cnf(72,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(B,inverse(D))),A)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[71]),
    [iquote('flip(71)')] ).

cnf(73,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(D),inverse(E)))))),inverse(multiply(inverse(multiply(inverse(D),inverse(E))),multiply(inverse(D),inverse(E)))))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(E),E)))),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(E),E)))),E))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(E),E)))),E))))),D),
    inference(para,[status(thm),theory(equality)],[15,1]),
    [iquote('para(15,1)')] ).

cnf(74,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D)))))),multiply(C,inverse(D)))),inverse(multiply(inverse(D),D))),multiply(inverse(B),inverse(multiply(inverse(D),D)))),
    inference(para,[status(thm),theory(equality)],[15,1]),
    [iquote('para(15,1)')] ).

cnf(75,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))))),multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(multiply(A,inverse(D)))))),inverse(multiply(inverse(multiply(A,inverse(D))),multiply(A,inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))),B),
    inference(para,[status(thm),theory(equality)],[15,1]),
    [iquote('para(15,1)')] ).

cnf(76,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),B),
    inference(para,[status(thm),theory(equality)],[15,1]),
    [iquote('para(15,1)')] ).

cnf(83,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),multiply(A,inverse(inverse(multiply(inverse(B),B)))))))),multiply(D,inverse(multiply(A,inverse(inverse(multiply(inverse(B),B)))))))),inverse(multiply(A,inverse(inverse(multiply(inverse(B),B)))))))),inverse(multiply(A,inverse(inverse(multiply(inverse(B),B)))))))),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(B),B))))),multiply(E,inverse(inverse(multiply(inverse(B),B))))))),multiply(A,inverse(inverse(multiply(inverse(B),B))))),
    inference(para,[status(thm),theory(equality)],[60,18]),
    [iquote('para(60,18)')] ).

cnf(86,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(inverse(A),A))),A),
    inference(para,[status(thm),theory(equality)],[28,1]),
    [iquote('para(28,1)')] ).

cnf(101,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))))),E)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))))),multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(multiply(inverse(C),D)))),
    inference(para,[status(thm),theory(equality)],[53,23]),
    [iquote('para(53,23)')] ).

cnf(102,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(D),C))),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),C)))),multiply(E,inverse(C)))))),A)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[101]),
    [iquote('flip(101)')] ).

cnf(103,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(E))),
    inference(para,[status(thm),theory(equality)],[60,6]),
    [iquote('para(60,6)')] ).

cnf(104,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(D),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(C),C))))),multiply(E,inverse(inverse(multiply(inverse(C),C))))))),D),
    inference(para,[status(thm),theory(equality)],[60,6]),
    [iquote('para(60,6)')] ).

cnf(107,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))),multiply(B,inverse(inverse(C))))),inverse(inverse(C))))),inverse(D))),inverse(C))),inverse(multiply(inverse(multiply(inverse(inverse(C)),inverse(C))),multiply(inverse(inverse(C)),inverse(C))))),multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C)))),
    inference(para,[status(thm),theory(equality)],[5,14]),
    [iquote('para(5,14)')] ).

cnf(108,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(A),A)))),A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),inverse(A))))),multiply(D,inverse(inverse(A))))),inverse(inverse(A))))),inverse(B))),inverse(A))),inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(A))),multiply(inverse(inverse(A)),inverse(A)))))),
    inference(flip,[status(thm),theory(equality)],[107]),
    [iquote('flip(107)')] ).

cnf(116,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(B,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),
    inference(para,[status(thm),theory(equality)],[15,5]),
    [iquote('para(15,5)')] ).

cnf(127,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,74]),1,1,1]),
    [iquote('para(1,74),demod([1,1,1])')] ).

cnf(137,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C)))),C),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[127,1]),1]),1]),
    [iquote('para(127,1),demod([1]),flip(1)')] ).

cnf(139,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D))),B)),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))),multiply(inverse(C),C))),inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))),
    inference(para,[status(thm),theory(equality)],[1,127]),
    [iquote('para(1,127)')] ).

cnf(140,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C)))),inverse(multiply(inverse(C),C)))),
    inference(para,[status(thm),theory(equality)],[137,1]),
    [iquote('para(137,1)')] ).

cnf(141,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),D))),inverse(multiply(inverse(C),D)))))),inverse(D)))),inverse(multiply(inverse(D),D))),C),
    inference(para,[status(thm),theory(equality)],[137,1]),
    [iquote('para(137,1)')] ).

cnf(142,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(D),C)))),B)),inverse(multiply(inverse(C),C))),D),
    inference(para,[status(thm),theory(equality)],[137,1]),
    [iquote('para(137,1)')] ).

cnf(143,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(D)))),inverse(multiply(inverse(D),D))),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,inverse(D)))),inverse(multiply(inverse(D),D)))),
    inference(para,[status(thm),theory(equality)],[1,140]),
    [iquote('para(1,140)')] ).

cnf(144,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),B)))),multiply(E,inverse(B)))),inverse(C)))),inverse(multiply(inverse(C),C)))),
    inference(flip,[status(thm),theory(equality)],[143]),
    [iquote('flip(143)')] ).

cnf(147,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[140,1]),1]),
    [iquote('para(140,1),demod([1])')] ).

cnf(150,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(D))),multiply(inverse(multiply(E,inverse(multiply(inverse(C),C)))),multiply(E,inverse(D)))),
    inference(para,[status(thm),theory(equality)],[1,147]),
    [iquote('para(1,147)')] ).

cnf(152,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D))),B),multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(multiply(inverse(C),C))))),
    inference(para,[status(thm),theory(equality)],[1,147]),
    [iquote('para(1,147)')] ).

cnf(155,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(D)))))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))),B),
    inference(para,[status(thm),theory(equality)],[147,1]),
    [iquote('para(147,1)')] ).

cnf(157,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),C),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),
    inference(para,[status(thm),theory(equality)],[53,147]),
    [iquote('para(53,147)')] ).

cnf(159,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(D))),multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(D)))),
    inference(para,[status(thm),theory(equality)],[137,147]),
    [iquote('para(137,147)')] ).

cnf(160,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(B))))),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[159]),
    [iquote('flip(159)')] ).

cnf(161,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(D))),B),multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[137,147]),
    [iquote('para(137,147)')] ).

cnf(162,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(B))),E)),
    inference(flip,[status(thm),theory(equality)],[161]),
    [iquote('flip(161)')] ).

cnf(163,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),D)))),multiply(C,inverse(D)))),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))))),multiply(A,inverse(multiply(F,inverse(E)))))),inverse(multiply(inverse(multiply(F,inverse(E))),multiply(F,inverse(E))))),multiply(F,inverse(multiply(inverse(multiply(inverse(D),D)),E)))),
    inference(para,[status(thm),theory(equality)],[13,1]),
    [iquote('para(13,1)')] ).

cnf(164,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(D))),multiply(inverse(multiply(E,inverse(multiply(inverse(A),A)))),multiply(E,inverse(D)))),
    inference(para,[status(thm),theory(equality)],[5,147]),
    [iquote('para(5,147)')] ).

cnf(165,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C))),multiply(inverse(B),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),B)))),multiply(E,inverse(B)))),inverse(B)))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[164]),
    [iquote('flip(164)')] ).

cnf(166,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(D))),C),multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(multiply(inverse(C),C))))),
    inference(para,[status(thm),theory(equality)],[5,147]),
    [iquote('para(5,147)')] ).

cnf(167,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),C)))),multiply(E,inverse(C)))),inverse(C)))),inverse(B))),C)),
    inference(flip,[status(thm),theory(equality)],[166]),
    [iquote('flip(166)')] ).

cnf(176,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(D)))))),multiply(A,inverse(multiply(C,inverse(D)))))),inverse(E))),B),multiply(inverse(multiply(F,inverse(E))),multiply(F,inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(D))))))),
    inference(para,[status(thm),theory(equality)],[155,147]),
    [iquote('para(155,147)')] ).

cnf(178,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(D)))))),multiply(A,inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(multiply(F,inverse(D))),multiply(F,inverse(D))))),multiply(E,inverse(C))),
    inference(para,[status(thm),theory(equality)],[147,155]),
    [iquote('para(147,155)')] ).

cnf(179,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),multiply(inverse(multiply(D,inverse(B))),inverse(F))),multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(F)))),
    inference(para,[status(thm),theory(equality)],[157,147]),
    [iquote('para(157,147)')] ).

cnf(180,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(B)),multiply(F,inverse(G)))),inverse(multiply(inverse(G),G)))),G))))),multiply(inverse(multiply(F,inverse(E))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[179]),
    [iquote('flip(179)')] ).

cnf(181,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(E)),multiply(A,inverse(F)))),inverse(multiply(inverse(F),F)))),F))))),multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[157,147]),
    [iquote('para(157,147)')] ).

cnf(183,plain,
    equal(multiply(inverse(A),A),multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))),
    inference(para,[status(thm),theory(equality)],[1,150]),
    [iquote('para(1,150)')] ).

cnf(184,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B)))),multiply(inverse(C),C)),
    inference(flip,[status(thm),theory(equality)],[183]),
    [iquote('flip(183)')] ).

cnf(185,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))),multiply(inverse(inverse(C)),inverse(D))),multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(D)))),
    inference(para,[status(thm),theory(equality)],[183,147]),
    [iquote('para(183,147)')] ).

cnf(186,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(E),E)))),multiply(D,inverse(multiply(inverse(E),E))))),multiply(inverse(inverse(B)),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[185]),
    [iquote('flip(185)')] ).

cnf(187,plain,
    equal(multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D))))),multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(A)))),
    inference(para,[status(thm),theory(equality)],[183,147]),
    [iquote('para(183,147)')] ).

cnf(188,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(inverse(C)),inverse(B))),multiply(inverse(multiply(D,inverse(multiply(inverse(E),E)))),multiply(D,inverse(multiply(inverse(E),E)))))),
    inference(flip,[status(thm),theory(equality)],[187]),
    [iquote('flip(187)')] ).

cnf(195,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(D),D))))))),multiply(A,inverse(multiply(C,inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(E),E))),B),
    inference(para,[status(thm),theory(equality)],[184,1]),
    [iquote('para(184,1)')] ).

cnf(200,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(E),E)))),multiply(D,inverse(multiply(inverse(E),E)))))),C),
    inference(para,[status(thm),theory(equality)],[183,5]),
    [iquote('para(183,5)')] ).

cnf(202,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))),inverse(multiply(inverse(A),multiply(inverse(D),D))))),C)),inverse(multiply(E,inverse(F)))))),inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(F))))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))),inverse(multiply(inverse(F),F)))),F)))),
    inference(para,[status(thm),theory(equality)],[6,14]),
    [iquote('para(6,14)')] ).

cnf(203,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),B)))),multiply(E,inverse(B)))),inverse(multiply(inverse(D),multiply(inverse(B),B))))),F)),inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[202]),
    [iquote('flip(202)')] ).

cnf(251,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(C,inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(E),E))),multiply(C,inverse(multiply(inverse(D),D)))),
    inference(para,[status(thm),theory(equality)],[184,195]),
    [iquote('para(184,195)')] ).

cnf(264,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))),
    inference(para,[status(thm),theory(equality)],[184,251]),
    [iquote('para(184,251)')] ).

cnf(265,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))),multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),
    inference(flip,[status(thm),theory(equality)],[264]),
    [iquote('flip(264)')] ).

cnf(268,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(E),E))))),
    inference(para,[status(thm),theory(equality)],[264,147]),
    [iquote('para(264,147)')] ).

cnf(269,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(D),D)),inverse(B))),multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),
    inference(flip,[status(thm),theory(equality)],[268]),
    [iquote('flip(268)')] ).

cnf(277,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(D),D)),
    inference(para,[status(thm),theory(equality)],[264,1]),
    [iquote('para(264,1)')] ).

cnf(278,plain,
    equal(multiply(inverse(A),A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))),
    inference(flip,[status(thm),theory(equality)],[277]),
    [iquote('flip(277)')] ).

cnf(282,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B)))),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(C)))),inverse(multiply(inverse(C),C))),C),
    inference(para,[status(thm),theory(equality)],[265,1]),
    [iquote('para(265,1)')] ).

cnf(283,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),B),
    inference(para,[status(thm),theory(equality)],[265,1]),
    [iquote('para(265,1)')] ).

cnf(284,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(multiply(inverse(D),D)),inverse(multiply(inverse(E),E))))),B),
    inference(para,[status(thm),theory(equality)],[265,1]),
    [iquote('para(265,1)')] ).

cnf(286,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A))),multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))),
    inference(para,[status(thm),theory(equality)],[264,264]),
    [iquote('para(264,264)')] ).

cnf(291,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B)))))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C))),
    inference(para,[status(thm),theory(equality)],[286,1]),
    [iquote('para(286,1)')] ).

cnf(292,plain,
    equal(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[278]),291]),
    [iquote('back_demod(278),demod([291])')] ).

cnf(293,plain,
    equal(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),
    inference(flip,[status(thm),theory(equality)],[292]),
    [iquote('flip(292)')] ).

cnf(299,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(A,inverse(inverse(E))))))),inverse(multiply(inverse(multiply(A,inverse(inverse(E)))),multiply(A,inverse(inverse(E)))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E))))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(E),E)))),E)))),
    inference(para,[status(thm),theory(equality)],[15,14]),
    [iquote('para(15,14)')] ).

cnf(300,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(multiply(D,inverse(C))),multiply(inverse(multiply(inverse(multiply(E,inverse(A))),multiply(E,inverse(multiply(D,inverse(inverse(B))))))),inverse(multiply(inverse(multiply(D,inverse(inverse(B)))),multiply(D,inverse(inverse(B)))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(B))),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(B)))))),
    inference(flip,[status(thm),theory(equality)],[299]),
    [iquote('flip(299)')] ).

cnf(301,plain,
    equal(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[292,293]),
    [iquote('para(292,293)')] ).

cnf(302,plain,
    equal(multiply(inverse(A),A),inverse(inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[301]),
    [iquote('flip(301)')] ).

cnf(305,plain,
    equal(multiply(inverse(A),A),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[293,293]),
    [iquote('para(293,293)')] ).

cnf(312,plain,
    equal(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[292,301]),
    [iquote('para(292,301)')] ).

cnf(313,plain,
    equal(multiply(inverse(A),A),inverse(inverse(inverse(multiply(inverse(B),B))))),
    inference(flip,[status(thm),theory(equality)],[312]),
    [iquote('flip(312)')] ).

cnf(446,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(D,inverse(E)))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(E))))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(E),E)))),E)))),
    inference(para,[status(thm),theory(equality)],[18,14]),
    [iquote('para(18,14)')] ).

cnf(447,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),B)))),multiply(E,inverse(B)))),inverse(B)))),inverse(B)))),inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[446]),
    [iquote('flip(446)')] ).

cnf(470,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))),multiply(B,inverse(inverse(C))))),inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),inverse(C))),inverse(multiply(inverse(multiply(inverse(inverse(C)),inverse(C))),multiply(inverse(inverse(C)),inverse(C))))),multiply(inverse(inverse(C)),inverse(multiply(inverse(E),C)))),
    inference(para,[status(thm),theory(equality)],[4,19]),
    [iquote('para(4,19)')] ).

cnf(657,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),inverse(C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[305,147]),
    [iquote('para(305,147)')] ).

cnf(658,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(inverse(B)),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[657]),
    [iquote('flip(657)')] ).

cnf(800,plain,
    equal(multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(C)))),
    inference(para,[status(thm),theory(equality)],[293,147]),
    [iquote('para(293,147)')] ).

cnf(830,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),C),
    inference(para,[status(thm),theory(equality)],[305,1]),
    [iquote('para(305,1)')] ).

cnf(831,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(D)))),inverse(multiply(inverse(D),D))),D),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[144]),830]),1]),
    [iquote('back_demod(144),demod([830]),flip(1)')] ).

cnf(853,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),multiply(A,inverse(multiply(C,inverse(B)))))),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(B))))),multiply(C,inverse(multiply(inverse(multiply(inverse(D),D)),B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[163]),831]),
    [iquote('back_demod(163),demod([831])')] ).

cnf(854,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C))),multiply(inverse(multiply(inverse(multiply(D,inverse(inverse(multiply(inverse(C),C))))),multiply(D,inverse(multiply(A,inverse(C)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[853]),
    [iquote('flip(853)')] ).

cnf(855,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),inverse(multiply(inverse(C),C)))),C))),multiply(A,inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[55]),831]),
    [iquote('back_demod(55),demod([831])')] ).

cnf(860,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(multiply(D,inverse(E)))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(E))))),multiply(D,inverse(E))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[447]),855]),1]),
    [iquote('back_demod(447),demod([855]),flip(1)')] ).

cnf(867,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))),inverse(multiply(inverse(A),multiply(inverse(D),D))))),C)),inverse(multiply(E,inverse(F)))))),inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(F))))),multiply(E,inverse(F))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[203]),855]),1]),
    [iquote('back_demod(203),demod([855]),flip(1)')] ).

cnf(870,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C)))),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),831]),
    [iquote('back_demod(13),demod([831])')] ).

cnf(909,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))),inverse(multiply(inverse(A),multiply(inverse(D),D))))),C)),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),870]),1]),
    [iquote('back_demod(41),demod([870]),flip(1)')] ).

cnf(914,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),D))),B),
    inference(para,[status(thm),theory(equality)],[305,1]),
    [iquote('para(305,1)')] ).

cnf(921,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B)))),multiply(inverse(B),B)),
    inference(para,[status(thm),theory(equality)],[305,830]),
    [iquote('para(305,830)')] ).

cnf(924,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),D))),C),
    inference(para,[status(thm),theory(equality)],[305,830]),
    [iquote('para(305,830)')] ).

cnf(945,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),B)))),multiply(D,inverse(B)))),inverse(B)))),inverse(B)))),inverse(multiply(inverse(A),multiply(inverse(B),B))))),B)),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,3]),870]),
    [iquote('para(29,3),demod([870])')] ).

cnf(966,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))),multiply(inverse(A),A))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[29,26]),945,914,921]),
    [iquote('para(29,26),demod([945,914,921])')] ).

cnf(1013,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),C)))),multiply(E,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),F))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,14]),966]),
    [iquote('para(36,14),demod([966])')] ).

cnf(1014,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))),multiply(inverse(A),A)))),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),A)))),multiply(E,inverse(A)))),inverse(multiply(inverse(D),multiply(inverse(A),A))))),F))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))))))),
    inference(flip,[status(thm),theory(equality)],[1013]),
    [iquote('flip(1013)')] ).

cnf(1026,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C)))))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),C)))),multiply(F,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),G))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[36,24]),966,966,966]),
    [iquote('para(36,24),demod([966,966,966])')] ).

cnf(1056,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(F))),multiply(inverse(multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(multiply(inverse(F),inverse(multiply(inverse(C),C)))),C)))),
    inference(para,[status(thm),theory(equality)],[37,14]),
    [iquote('para(37,14)')] ).

cnf(1057,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(A,inverse(C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[1056]),
    [iquote('flip(1056)')] ).

cnf(1062,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),B)))),multiply(G,inverse(B)))),inverse(B)))),
    inference(para,[status(thm),theory(equality)],[37,16]),
    [iquote('para(37,16)')] ).

cnf(1063,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[1062]),
    [iquote('flip(1062)')] ).

cnf(1068,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(G),G)))))),inverse(multiply(inverse(inverse(multiply(inverse(G),G))),inverse(multiply(inverse(G),G))))))),C)))),multiply(D,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),inverse(multiply(H,inverse(G)))))),inverse(multiply(inverse(multiply(H,inverse(G))),multiply(H,inverse(G))))),multiply(H,inverse(multiply(inverse(F),G)))),
    inference(para,[status(thm),theory(equality)],[37,24]),
    [iquote('para(37,24)')] ).

cnf(1069,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(G))),multiply(F,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),multiply(inverse(multiply(inverse(multiply(H,inverse(E))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(G),C)))),
    inference(para,[status(thm),theory(equality)],[37,24]),
    [iquote('para(37,24)')] ).

cnf(1154,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(G))),multiply(inverse(multiply(inverse(multiply(H,inverse(F))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(multiply(inverse(inverse(C)),inverse(C))),multiply(inverse(inverse(C)),inverse(C))))),multiply(inverse(inverse(C)),inverse(multiply(inverse(G),C)))),
    inference(para,[status(thm),theory(equality)],[37,42]),
    [iquote('para(37,42)')] ).

cnf(1158,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(C),C))),C)))),multiply(B,inverse(C)))))),multiply(A,inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[6,43]),909]),1]),
    [iquote('para(6,43),demod([909]),flip(1)')] ).

cnf(1323,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),D))),C),
    inference(para,[status(thm),theory(equality)],[292,914]),
    [iquote('para(292,914)')] ).

cnf(1328,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),B)),C))),multiply(A,inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[854]),1323]),
    [iquote('back_demod(854),demod([1323])')] ).

cnf(1340,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(G))),multiply(inverse(multiply(inverse(multiply(H,inverse(F))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(G),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1154]),1328,1328]),
    [iquote('back_demod(1154),demod([1328,1328])')] ).

cnf(1361,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(G))),multiply(F,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),multiply(inverse(multiply(inverse(multiply(H,inverse(E))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(G),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1069]),1328]),
    [iquote('back_demod(1069),demod([1328])')] ).

cnf(1362,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(G),G)))))),inverse(multiply(inverse(inverse(multiply(inverse(G),G))),inverse(multiply(inverse(G),G))))))),C)))),multiply(D,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),inverse(multiply(H,inverse(G)))))),inverse(multiply(inverse(multiply(H,inverse(G))),multiply(H,inverse(G))))),multiply(H,inverse(multiply(inverse(F),G)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1068]),1328]),
    [iquote('back_demod(1068),demod([1328])')] ).

cnf(1365,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1063]),1328]),
    [iquote('back_demod(1063),demod([1328])')] ).

cnf(1366,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(inverse(B),B))))),multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),B)))),multiply(G,inverse(B)))),inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[1365]),
    [iquote('flip(1365)')] ).

cnf(1369,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(A,inverse(C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(multiply(inverse(E),E))))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1057]),1328]),
    [iquote('back_demod(1057),demod([1328])')] ).

cnf(1370,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(F))),multiply(inverse(multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D)))),inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(multiply(inverse(F),inverse(multiply(inverse(C),C)))),C)))),
    inference(flip,[status(thm),theory(equality)],[1369]),
    [iquote('flip(1369)')] ).

cnf(1381,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C)))))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),C)))),multiply(F,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),G))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1026]),1328,1328,1328]),
    [iquote('back_demod(1026),demod([1328,1328,1328])')] ).

cnf(1384,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))),multiply(inverse(A),A)))),multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A))))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),A)))),multiply(E,inverse(A)))),inverse(multiply(inverse(D),multiply(inverse(A),A))))),F))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(A),A)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(A),A))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1014]),1328,1328]),
    [iquote('back_demod(1014),demod([1328,1328])')] ).

cnf(1385,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),C)))),multiply(E,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),F))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))),multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[1384]),
    [iquote('flip(1384)')] ).

cnf(1417,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))),multiply(B,inverse(inverse(C))))),inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),inverse(C))),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(E),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[470]),1328]),
    [iquote('back_demod(470),demod([1328])')] ).

cnf(1424,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(D),D)))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[284]),1328]),
    [iquote('back_demod(284),demod([1328])')] ).

cnf(1425,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),multiply(inverse(A),A))))),multiply(inverse(multiply(inverse(C),C)),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(A),A))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[283]),1328]),
    [iquote('back_demod(283),demod([1328])')] ).

cnf(1431,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D))),B)),inverse(multiply(inverse(C),C)))),multiply(inverse(C),C))),inverse(multiply(inverse(E),E))),multiply(inverse(D),inverse(multiply(inverse(E),E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[139]),1328,1328,1328]),
    [iquote('back_demod(139),demod([1328,1328,1328])')] ).

cnf(1440,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(A),A)))),A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),inverse(A))))),multiply(D,inverse(inverse(A))))),inverse(inverse(A))))),inverse(B))),inverse(A))),inverse(multiply(inverse(inverse(A)),inverse(A))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[108]),1328]),
    [iquote('back_demod(108),demod([1328])')] ).

cnf(1441,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))),multiply(B,inverse(inverse(C))))),inverse(inverse(C))))),inverse(D))),inverse(C))),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C)))),
    inference(flip,[status(thm),theory(equality)],[1440]),
    [iquote('flip(1440)')] ).

cnf(1442,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C)))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[103]),1328]),
    [iquote('back_demod(103),demod([1328])')] ).

cnf(1559,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),D))),C),
    inference(para,[status(thm),theory(equality)],[293,914]),
    [iquote('para(293,914)')] ).

cnf(1562,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),multiply(inverse(D),D)),B),
    inference(para,[status(thm),theory(equality)],[293,914]),
    [iquote('para(293,914)')] ).

cnf(1565,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(C)))),multiply(inverse(D),D)),C),
    inference(para,[status(thm),theory(equality)],[305,1562]),
    [iquote('para(305,1562)')] ).

cnf(1570,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B)))),multiply(inverse(C),C))),multiply(inverse(D),D)),A),
    inference(para,[status(thm),theory(equality)],[305,1565]),
    [iquote('para(305,1565)')] ).

cnf(1576,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))),multiply(inverse(D),D)),C),
    inference(para,[status(thm),theory(equality)],[293,1559]),
    [iquote('para(293,1559)')] ).

cnf(1579,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(inverse(B),B)),inverse(C)))),multiply(inverse(D),D)),C),
    inference(para,[status(thm),theory(equality)],[292,1576]),
    [iquote('para(292,1576)')] ).

cnf(1580,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),inverse(multiply(inverse(C),C)))),multiply(inverse(D),D)),A),
    inference(para,[status(thm),theory(equality)],[292,1576]),
    [iquote('para(292,1576)')] ).

cnf(1588,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(D),D)),A),
    inference(para,[status(thm),theory(equality)],[302,1576]),
    [iquote('para(302,1576)')] ).

cnf(1589,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),multiply(A,inverse(C)))),multiply(inverse(D),D)),C),
    inference(para,[status(thm),theory(equality)],[292,1562]),
    [iquote('para(292,1562)')] ).

cnf(1686,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(A,inverse(C)))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))),multiply(inverse(E),inverse(F)))),inverse(multiply(inverse(F),F)))),F)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))),multiply(inverse(E),inverse(F)))),inverse(multiply(inverse(F),F)))),F))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))),multiply(inverse(E),inverse(F)))),inverse(multiply(inverse(F),F)))),F))))),E),
    inference(para,[status(thm),theory(equality)],[14,56]),
    [iquote('para(14,56)')] ).

cnf(1702,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),D),
    inference(para,[status(thm),theory(equality)],[18,56]),
    [iquote('para(18,56)')] ).

cnf(1914,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)),inverse(multiply(inverse(C),C))),
    inference(para,[status(thm),theory(equality)],[305,1589]),
    [iquote('para(305,1589)')] ).

cnf(1915,plain,
    equal(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),
    inference(flip,[status(thm),theory(equality)],[1914]),
    [iquote('flip(1914)')] ).

cnf(1978,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),
    inference(para,[status(thm),theory(equality)],[65,16]),
    [iquote('para(65,16)')] ).

cnf(1979,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[1978]),
    [iquote('flip(1978)')] ).

cnf(1986,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(C),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),inverse(C)))),
    inference(para,[status(thm),theory(equality)],[65,26]),
    [iquote('para(65,26)')] ).

cnf(1987,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(A),A))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(multiply(inverse(A),A))))))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))))),
    inference(flip,[status(thm),theory(equality)],[1986]),
    [iquote('flip(1986)')] ).

cnf(1992,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),multiply(inverse(multiply(inverse(multiply(F,inverse(D))),multiply(F,inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))),
    inference(para,[status(thm),theory(equality)],[65,31]),
    [iquote('para(65,31)')] ).

cnf(1993,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(inverse(multiply(inverse(F),F))),inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(F),F)))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(B))))),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),
    inference(flip,[status(thm),theory(equality)],[1992]),
    [iquote('flip(1992)')] ).

cnf(2002,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F)))))))),inverse(multiply(inverse(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F))))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F)))))))),inverse(inverse(multiply(inverse(multiply(D,inverse(F))),multiply(D,inverse(F)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(D,inverse(F))),multiply(D,inverse(F))))),inverse(multiply(inverse(multiply(D,inverse(F))),multiply(D,inverse(F))))))),multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(multiply(D,inverse(F)))))),
    inference(para,[status(thm),theory(equality)],[65,49]),
    [iquote('para(65,49)')] ).

cnf(2003,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(F,inverse(inverse(multiply(inverse(G),G)))))),inverse(multiply(inverse(inverse(multiply(inverse(G),G))),inverse(multiply(inverse(G),G)))))),inverse(multiply(inverse(G),G)))),multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(F,inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))))))),inverse(multiply(inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))))))),inverse(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D)))))))),
    inference(flip,[status(thm),theory(equality)],[2002]),
    [iquote('flip(2002)')] ).

cnf(2146,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),
    inference(para,[status(thm),theory(equality)],[70,18]),
    [iquote('para(70,18)')] ).

cnf(2220,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),D)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(A))),multiply(E,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(A))),multiply(E,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(A))),multiply(E,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,71]),855]),
    [iquote('para(26,71),demod([855])')] ).

cnf(2376,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E))))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(C),multiply(A,inverse(inverse(D))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[72,71]),855]),
    [iquote('para(72,71),demod([855])')] ).

cnf(2398,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))))))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(E),E))))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[8,73]),1158]),
    [iquote('para(8,73),demod([1158])')] ).

cnf(2599,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,14]),1328]),
    [iquote('para(76,14),demod([1328])')] ).

cnf(2600,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D))),F)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),
    inference(flip,[status(thm),theory(equality)],[2599]),
    [iquote('flip(2599)')] ).

cnf(2615,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),E))),multiply(A,inverse(E))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,24]),831,1323]),1]),
    [iquote('para(76,24),demod([831,1323]),flip(1)')] ).

cnf(2616,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D))),F)),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2600]),2615]),
    [iquote('back_demod(2600),demod([2615])')] ).

cnf(2617,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),B)),inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(flip,[status(thm),theory(equality)],[2616]),
    [iquote('flip(2616)')] ).

cnf(2618,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))))))),B)),inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,24]),1328,2615]),
    [iquote('para(76,24),demod([1328,2615])')] ).

cnf(2619,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))))),F)),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),
    inference(flip,[status(thm),theory(equality)],[2618]),
    [iquote('flip(2618)')] ).

cnf(2671,plain,
    equal(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E))))))),multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))),inverse(E))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,69]),2615,1328]),
    [iquote('para(76,69),demod([2615,1328])')] ).

cnf(2672,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(D),F)),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),
    inference(flip,[status(thm),theory(equality)],[2671]),
    [iquote('flip(2671)')] ).

cnf(2694,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(E))),G)),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))),multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[76,75]),1328,2615,1328,1328]),
    [iquote('para(76,75),demod([1328,2615,1328,1328])')] ).

cnf(2715,plain,
    equal(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(B),B))),C))),multiply(A,inverse(C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[83,14]),860,1323]),1]),
    [iquote('para(83,14),demod([860,1323]),flip(1)')] ).

cnf(2725,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),F)),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2619]),2715]),
    [iquote('back_demod(2619),demod([2715])')] ).

cnf(2726,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),B)),inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(flip,[status(thm),theory(equality)],[2725]),
    [iquote('flip(2725)')] ).

cnf(2772,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(E),E))),inverse(multiply(inverse(E),E))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(inverse(multiply(inverse(E),E)))))))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2398]),2715,2715,2715,2715,2715,2715]),
    [iquote('back_demod(2398),demod([2715,2715,2715,2715,2715,2715])')] ).

cnf(2871,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(F,inverse(inverse(multiply(inverse(G),G)))))),inverse(inverse(multiply(inverse(G),G))))),inverse(multiply(inverse(G),G)))),multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(F,inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))))))),inverse(multiply(inverse(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))))))),inverse(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D)))))))),inverse(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2003]),2715,2715]),
    [iquote('back_demod(2003),demod([2715,2715])')] ).

cnf(2872,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F)))))))),inverse(multiply(inverse(inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F))))),inverse(multiply(D,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(F),F)))),F)))))))),inverse(inverse(multiply(inverse(multiply(D,inverse(F))),multiply(D,inverse(F)))))))),inverse(inverse(multiply(inverse(multiply(D,inverse(F))),multiply(D,inverse(F)))))),multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(multiply(D,inverse(F)))))),
    inference(flip,[status(thm),theory(equality)],[2871]),
    [iquote('flip(2871)')] ).

cnf(2879,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(F),F)))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(B))))),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1993]),2715,2715,2715]),
    [iquote('back_demod(1993),demod([2715,2715,2715])')] ).

cnf(2880,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(E),E)))),multiply(inverse(multiply(inverse(multiply(F,inverse(D))),multiply(F,inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(E),E))))),
    inference(flip,[status(thm),theory(equality)],[2879]),
    [iquote('flip(2879)')] ).

cnf(2881,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(A),A))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(multiply(inverse(A),A))))))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(F),F))))),inverse(inverse(multiply(inverse(A),A))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1987]),2715,2715]),
    [iquote('back_demod(1987),demod([2715,2715])')] ).

cnf(2882,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(D),D))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(C),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[2881]),
    [iquote('flip(2881)')] ).

cnf(2889,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(F),F))))),inverse(inverse(multiply(inverse(C),C))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1979]),2715,2715]),
    [iquote('back_demod(1979),demod([2715,2715])')] ).

cnf(2890,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(D),D))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[2889]),
    [iquote('flip(2889)')] ).

cnf(2986,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))),multiply(B,inverse(inverse(C))))),inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C))))))),inverse(C))),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(E),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1417]),2715]),
    [iquote('back_demod(1417),demod([2715])')] ).

cnf(3021,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(F))),multiply(inverse(multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(multiply(inverse(F),inverse(multiply(inverse(C),C)))),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1370]),2715]),
    [iquote('back_demod(1370),demod([2715])')] ).

cnf(3022,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(A,inverse(C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(flip,[status(thm),theory(equality)],[3021]),
    [iquote('flip(3021)')] ).

cnf(3025,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(D),multiply(inverse(C),C))))),inverse(B))),multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(B),B)))),multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),B)))),multiply(G,inverse(B)))),inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1366]),2715,2715]),
    [iquote('back_demod(1366),demod([2715,2715])')] ).

cnf(3026,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(C),C))))),
    inference(flip,[status(thm),theory(equality)],[3025]),
    [iquote('flip(3025)')] ).

cnf(3029,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(G),G)))))),inverse(inverse(multiply(inverse(G),G)))))),C)))),multiply(D,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),inverse(multiply(H,inverse(G)))))),inverse(multiply(inverse(multiply(H,inverse(G))),multiply(H,inverse(G))))),multiply(H,inverse(multiply(inverse(F),G)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1362]),2715,2715]),
    [iquote('back_demod(1362),demod([2715,2715])')] ).

cnf(3030,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(C)))),D)))),multiply(A,inverse(D)))),inverse(multiply(inverse(E),multiply(inverse(D),D))))),inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(G))),multiply(F,inverse(inverse(multiply(inverse(C),C)))))),inverse(inverse(multiply(inverse(C),C))))))),multiply(inverse(multiply(inverse(multiply(H,inverse(E))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(D),D)),multiply(inverse(D),D))))))),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(C))))),multiply(B,inverse(multiply(inverse(G),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1361]),2715,2715]),
    [iquote('back_demod(1361),demod([2715,2715])')] ).

cnf(3047,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),E)))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(G))),multiply(inverse(multiply(inverse(multiply(H,inverse(F))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(C),C))))))),B)),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(G),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1340]),2715,2715]),
    [iquote('back_demod(1340),demod([2715,2715])')] ).

cnf(3146,plain,
    equal(multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),C))),multiply(A,inverse(C))),
    inference(para,[status(thm),theory(equality)],[292,2715]),
    [iquote('para(292,2715)')] ).

cnf(3147,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(G))),multiply(inverse(multiply(inverse(multiply(H,inverse(F))),multiply(H,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(C),C))))))),B)),inverse(multiply(inverse(inverse(C)),inverse(C)))),multiply(inverse(inverse(C)),inverse(multiply(inverse(G),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3047]),3146]),
    [iquote('back_demod(3047),demod([3146])')] ).

cnf(3155,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(E)))),inverse(multiply(inverse(F),multiply(inverse(E),E))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E))))))),inverse(inverse(multiply(inverse(E),E)))))),inverse(inverse(multiply(inverse(C),C))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3026]),3146]),
    [iquote('back_demod(3026),demod([3146])')] ).

cnf(3156,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(B),B))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))))))),inverse(inverse(multiply(inverse(B),B)))))),inverse(inverse(multiply(inverse(D),D)))),multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),D)))),multiply(G,inverse(D)))),inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[3155]),
    [iquote('flip(3155)')] ).

cnf(3170,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(inverse(inverse(multiply(inverse(C),C)))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(D),D))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2890]),3146]),
    [iquote('back_demod(2890),demod([3146])')] ).

cnf(3171,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(inverse(inverse(multiply(inverse(C),C)))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(F),F))))),inverse(inverse(multiply(inverse(C),C))))),
    inference(flip,[status(thm),theory(equality)],[3170]),
    [iquote('flip(3170)')] ).

cnf(3173,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(inverse(inverse(multiply(inverse(C),C)))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D)))))),inverse(inverse(multiply(inverse(D),D))))),inverse(multiply(inverse(D),D))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(C),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),C)))),multiply(F,inverse(C)))),inverse(C)))),inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2882]),3146]),
    [iquote('back_demod(2882),demod([3146])')] ).

cnf(3174,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(inverse(multiply(inverse(A),A))))))),inverse(inverse(inverse(multiply(inverse(A),A)))))),inverse(A))),multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(E,inverse(inverse(multiply(inverse(F),F)))))),inverse(inverse(multiply(inverse(F),F))))),inverse(multiply(inverse(F),F))))),inverse(inverse(multiply(inverse(A),A))))),
    inference(flip,[status(thm),theory(equality)],[3173]),
    [iquote('flip(3173)')] ).

cnf(3191,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(inverse(multiply(inverse(C),C)))))))),B)),inverse(inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1442]),3146]),
    [iquote('back_demod(1442),demod([3146])')] ).

cnf(3300,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),
    inference(para,[status(thm),theory(equality)],[70,86]),
    [iquote('para(70,86)')] ).

cnf(3380,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(C),C))),D))),multiply(A,inverse(D))),
    inference(para,[status(thm),theory(equality)],[1915,2715]),
    [iquote('para(1915,2715)')] ).

cnf(3382,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(C),C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),C)))),multiply(F,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),G))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(C),C)))))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1381]),3380,1328]),
    [iquote('back_demod(1381),demod([3380,1328])')] ).

cnf(3392,plain,
    equal(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),C))),inverse(C)))),D))),multiply(A,inverse(D))),
    inference(para,[status(thm),theory(equality)],[2715,2715]),
    [iquote('para(2715,2715)')] ).

cnf(3438,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(E),E)))))))),inverse(inverse(inverse(inverse(multiply(inverse(E),E))))))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(E),E))))),inverse(multiply(inverse(E),E))))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2772]),3392]),
    [iquote('back_demod(2772),demod([3392])')] ).

cnf(3506,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))))),E)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(C),D))),multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(C),D))),multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(C),D))),multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[102,71]),855]),
    [iquote('para(102,71),demod([855])')] ).

cnf(3548,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))),multiply(A,inverse(C)))),multiply(inverse(D),D)),C),
    inference(para,[status(thm),theory(equality)],[302,1562]),
    [iquote('para(302,1562)')] ).

cnf(3560,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D))))))),multiply(B,inverse(inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(inverse(D),D)))),inverse(inverse(multiply(inverse(D),D)))))))),C)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(D),D))))),multiply(E,inverse(inverse(multiply(inverse(D),D)))))),multiply(inverse(F),inverse(G)))),inverse(multiply(inverse(G),G)))),G)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(D),D))))),multiply(E,inverse(inverse(multiply(inverse(D),D)))))),multiply(inverse(F),inverse(G)))),inverse(multiply(inverse(G),G)))),G))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(D),D))))),multiply(E,inverse(inverse(multiply(inverse(D),D)))))),multiply(inverse(F),inverse(G)))),inverse(multiply(inverse(G),G)))),G))))),F),
    inference(para,[status(thm),theory(equality)],[104,56]),
    [iquote('para(104,56)')] ).

cnf(3695,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F)))))),multiply(B,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F)))))),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F)))))),inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F))),inverse(F)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F))),inverse(F))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F))),inverse(F))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E)),inverse(multiply(inverse(F),F)))),F))),
    inference(para,[status(thm),theory(equality)],[53,116]),
    [iquote('para(53,116)')] ).

cnf(3705,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[116,69]),2615,1328]),
    [iquote('para(116,69),demod([2615,1328])')] ).

cnf(3706,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),
    inference(flip,[status(thm),theory(equality)],[3705]),
    [iquote('flip(3705)')] ).

cnf(3911,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(A,inverse(E)))))),inverse(multiply(inverse(multiply(A,inverse(E))),multiply(A,inverse(E))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E)),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E)))),multiply(inverse(multiply(inverse(multiply(F,inverse(B))),multiply(F,inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E)),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(E),E)))),E))))),
    inference(para,[status(thm),theory(equality)],[137,75]),
    [iquote('para(137,75)')] ).

cnf(3912,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(multiply(inverse(multiply(E,inverse(B))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))))),
    inference(flip,[status(thm),theory(equality)],[3911]),
    [iquote('flip(3911)')] ).

cnf(3969,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(A,inverse(C)))))),inverse(E)))),inverse(multiply(inverse(E),E))),E),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[14,140]),924]),
    [iquote('para(14,140),demod([924])')] ).

cnf(3970,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(B)))),multiply(inverse(C),inverse(D)))),inverse(multiply(inverse(D),D)))),D)),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1686]),3969]),
    [iquote('back_demod(1686),demod([3969])')] ).

cnf(3972,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D))))))),multiply(B,inverse(inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(inverse(D),D)))),inverse(inverse(multiply(inverse(D),D)))))))),C)),inverse(E)))),inverse(multiply(inverse(E),E))),E),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3560]),3970,3970,3970]),
    [iquote('back_demod(3560),demod([3970,3970,3970])')] ).

cnf(3987,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(B),A)))),multiply(C,inverse(A)))),inverse(A)))),inverse(A)))),inverse(D)))),inverse(multiply(inverse(D),D))),D),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[18,140]),924]),
    [iquote('para(18,140),demod([924])')] ).

cnf(3988,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(C)))),inverse(multiply(inverse(C),C)))),C)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1702]),3987]),
    [iquote('back_demod(1702),demod([3987])')] ).

cnf(4366,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(C))),multiply(D,inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(E),E)))),E)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[147,71]),137,137]),
    [iquote('para(147,71),demod([137,137])')] ).

cnf(4367,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(B)))),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[4366]),
    [iquote('flip(4366)')] ).

cnf(4393,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(B,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))))),multiply(F,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[76,147]),
    [iquote('para(76,147)')] ).

cnf(4394,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))))),multiply(A,inverse(E))),multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[4393]),
    [iquote('flip(4393)')] ).

cnf(4418,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D))))))),multiply(B,inverse(inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),multiply(inverse(inverse(inverse(multiply(inverse(D),D)))),inverse(inverse(multiply(inverse(D),D)))))))),C)),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(G,inverse(inverse(multiply(inverse(D),D))))),multiply(G,inverse(inverse(multiply(inverse(D),D)))))))),multiply(F,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[104,147]),
    [iquote('para(104,147)')] ).

cnf(4419,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(inverse(multiply(inverse(C),C))))),multiply(B,inverse(inverse(multiply(inverse(C),C)))))))),multiply(A,inverse(D))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),inverse(inverse(multiply(inverse(C),C))))))),multiply(F,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(E),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(inverse(multiply(inverse(C),C)))))))),G)),inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[4418]),
    [iquote('flip(4418)')] ).

cnf(4433,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),multiply(D,inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(A))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),inverse(B)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),inverse(B))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),inverse(B)))))))),multiply(F,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[116,147]),
    [iquote('para(116,147)')] ).

cnf(4434,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))))),multiply(A,inverse(E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[4433]),
    [iquote('flip(4433)')] ).

cnf(4474,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(A),E)))),multiply(D,inverse(E)))),inverse(F)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(A),E)))),multiply(D,inverse(E)))),inverse(F))),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(A),E)))),multiply(D,inverse(E)))),inverse(F)))))),multiply(inverse(multiply(G,inverse(multiply(inverse(E),E)))),multiply(G,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(F),F)))),F))))),
    inference(para,[status(thm),theory(equality)],[15,150]),
    [iquote('para(15,150)')] ).

cnf(4475,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(E),B)))),multiply(G,inverse(B)))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(E),B)))),multiply(G,inverse(B)))),inverse(D))),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(E),B)))),multiply(G,inverse(B)))),inverse(D))))))),
    inference(flip,[status(thm),theory(equality)],[4474]),
    [iquote('flip(4474)')] ).

cnf(4566,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(C),C))),inverse(multiply(inverse(D),D))),A),
    inference(para,[status(thm),theory(equality)],[305,1323]),
    [iquote('para(305,1323)')] ).

cnf(4621,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(F),F))))))),B)),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(C),F)))),multiply(G,inverse(F)))),inverse(E))),
    inference(para,[status(thm),theory(equality)],[152,142]),
    [iquote('para(152,142)')] ).

cnf(4622,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(B))))),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(multiply(inverse(C),C))))))),F)),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[4621]),
    [iquote('flip(4621)')] ).

cnf(4630,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(inverse(inverse(multiply(inverse(B),B)))))),multiply(inverse(C),C))),multiply(inverse(D),D)),A),
    inference(para,[status(thm),theory(equality)],[305,3548]),
    [iquote('para(305,3548)')] ).

cnf(4804,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(A)))),inverse(multiply(inverse(A),A)))),multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(E),E)))),E))))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[72,159]),137,137]),
    [iquote('para(72,159),demod([137,137])')] ).

cnf(4805,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B)))),multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(D)))),inverse(multiply(inverse(D),D))))),
    inference(flip,[status(thm),theory(equality)],[4804]),
    [iquote('flip(4804)')] ).

cnf(4890,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(inverse(multiply(inverse(C),C)))))))),B)),inverse(multiply(inverse(multiply(G,inverse(inverse(multiply(inverse(C),C))))),multiply(G,inverse(inverse(multiply(inverse(C),C))))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(F))),
    inference(para,[status(thm),theory(equality)],[160,104]),
    [iquote('para(160,104)')] ).

cnf(5002,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(inverse(E)))),multiply(D,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(B))),inverse(F)))),inverse(multiply(inverse(F),F))),multiply(inverse(multiply(inverse(multiply(G,inverse(E))),multiply(G,inverse(F)))),inverse(multiply(inverse(F),F)))),
    inference(para,[status(thm),theory(equality)],[161,140]),
    [iquote('para(161,140)')] ).

cnf(5003,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(F)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(inverse(B)))),multiply(G,inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(E))),inverse(C)))),inverse(multiply(inverse(C),C)))),
    inference(flip,[status(thm),theory(equality)],[5002]),
    [iquote('flip(5002)')] ).

cnf(5061,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(D))),B)),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(F),F)))),F)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[162,71]),137,137]),
    [iquote('para(162,71),demod([137,137])')] ).

cnf(5062,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(B))))),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(D))),F)),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[5061]),
    [iquote('flip(5061)')] ).

cnf(5278,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(C,inverse(D))))))),inverse(multiply(inverse(inverse(multiply(C,inverse(D)))),inverse(multiply(C,inverse(D))))))),inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),E)))),multiply(G,inverse(E)))),inverse(E)))),inverse(D)))))),B)),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),multiply(C,inverse(multiply(inverse(E),E)))),
    inference(para,[status(thm),theory(equality)],[165,142]),
    [iquote('para(165,142)')] ).

cnf(5389,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(C),C))))))),B)),inverse(multiply(inverse(C),C))),multiply(inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(F),C)))),multiply(G,inverse(C)))),inverse(C)))),inverse(E))),
    inference(para,[status(thm),theory(equality)],[166,142]),
    [iquote('para(166,142)')] ).

cnf(5390,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(multiply(inverse(C),C))))))),F)),inverse(multiply(inverse(C),C)))),
    inference(flip,[status(thm),theory(equality)],[5389]),
    [iquote('flip(5389)')] ).

cnf(5942,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A)))),inverse(inverse(inverse(multiply(inverse(C),C)))))),multiply(inverse(D),D)),B),
    inference(para,[status(thm),theory(equality)],[313,1562]),
    [iquote('para(313,1562)')] ).

cnf(6137,plain,
    equal(multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(inverse(C),C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(inverse(multiply(inverse(E),E)))))),
    inference(para,[status(thm),theory(equality)],[301,800]),
    [iquote('para(301,800)')] ).

cnf(6138,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),multiply(multiply(inverse(D),D),multiply(inverse(inverse(B)),multiply(inverse(E),E)))),
    inference(flip,[status(thm),theory(equality)],[6137]),
    [iquote('flip(6137)')] ).

cnf(6148,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A)))),inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(D),D))),B),
    inference(para,[status(thm),theory(equality)],[302,914]),
    [iquote('para(302,914)')] ).

cnf(6152,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B)))),inverse(inverse(multiply(inverse(C),C))))),inverse(multiply(inverse(D),D))),A),
    inference(para,[status(thm),theory(equality)],[302,924]),
    [iquote('para(302,924)')] ).

cnf(6192,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(B),B))))),inverse(inverse(multiply(inverse(C),C))))),multiply(inverse(D),D)),A),
    inference(para,[status(thm),theory(equality)],[302,1589]),
    [iquote('para(302,1589)')] ).

cnf(6329,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(B,inverse(C))))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(D)),multiply(B,inverse(D))),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[178,57]),1]),
    [iquote('para(178,57),flip(1)')] ).

cnf(6716,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(E)),multiply(F,inverse(G)))))),multiply(D,inverse(multiply(F,inverse(G)))))),inverse(H)))),inverse(multiply(inverse(H),H)))),H))))),multiply(inverse(multiply(I,inverse(B))),multiply(I,inverse(multiply(inverse(multiply(J,inverse(G))),multiply(J,inverse(G))))))),multiply(inverse(multiply(K,inverse(C))),multiply(K,inverse(E)))),
    inference(para,[status(thm),theory(equality)],[176,179]),
    [iquote('para(176,179)')] ).

cnf(6717,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(B)),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(inverse(C)),multiply(G,inverse(H)))))),multiply(F,inverse(multiply(G,inverse(H)))))),inverse(I)))),inverse(multiply(inverse(I),I)))),I))))),multiply(inverse(multiply(J,inverse(E))),multiply(J,inverse(multiply(inverse(multiply(K,inverse(H))),multiply(K,inverse(H)))))))),
    inference(flip,[status(thm),theory(equality)],[6716]),
    [iquote('flip(6716)')] ).

cnf(6759,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),multiply(inverse(multiply(D,inverse(B))),inverse(F)))),inverse(multiply(inverse(F),F))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(F))),multiply(G,inverse(inverse(H))))),inverse(multiply(inverse(inverse(H)),inverse(H))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(H),H)))),H)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[180,71]),137,137]),
    [iquote('para(180,71),demod([137,137])')] ).

cnf(6760,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(D)),multiply(G,inverse(H)))),inverse(multiply(inverse(H),H)))),H))))),multiply(inverse(multiply(G,inverse(F))),inverse(B)))),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[6759]),
    [iquote('flip(6759)')] ).

cnf(6810,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(inverse(multiply(inverse(C),multiply(D,inverse(E)))))))),inverse(multiply(inverse(inverse(multiply(inverse(C),multiply(D,inverse(E))))),inverse(multiply(inverse(C),multiply(D,inverse(E)))))))),inverse(multiply(D,inverse(E)))))),inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(G))),multiply(F,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(E)),multiply(H,inverse(I)))),inverse(multiply(inverse(I),I)))),I))))),multiply(inverse(multiply(H,inverse(G))),inverse(E))))),C),
    inference(para,[status(thm),theory(equality)],[180,141]),
    [iquote('para(180,141)')] ).

cnf(6819,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(C,inverse(D))))))),inverse(multiply(inverse(inverse(multiply(C,inverse(D)))),inverse(multiply(C,inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(G)),multiply(H,inverse(I)))),inverse(multiply(inverse(I),I)))),I))))),multiply(inverse(multiply(H,inverse(F))),inverse(D)))))),B)),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),multiply(C,inverse(G))),
    inference(para,[status(thm),theory(equality)],[180,142]),
    [iquote('para(180,142)')] ).

cnf(7099,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))))),multiply(inverse(multiply(E,inverse(B))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(F)),multiply(inverse(multiply(inverse(multiply(G,inverse(multiply(inverse(inverse(H)),multiply(I,inverse(D)))))),multiply(G,inverse(multiply(I,inverse(D)))))),inverse(J)))),inverse(multiply(inverse(J),J)))),J))))),multiply(inverse(multiply(K,inverse(H))),multiply(K,inverse(F)))),
    inference(para,[status(thm),theory(equality)],[176,181]),
    [iquote('para(176,181)')] ).

cnf(7100,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(F,inverse(G))),multiply(F,inverse(G))))))),multiply(inverse(multiply(H,inverse(E))),multiply(H,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(inverse(multiply(inverse(multiply(I,inverse(multiply(inverse(inverse(B)),multiply(J,inverse(G)))))),multiply(I,inverse(multiply(J,inverse(G)))))),inverse(K)))),inverse(multiply(inverse(K),K)))),K)))))),
    inference(flip,[status(thm),theory(equality)],[7099]),
    [iquote('flip(7099)')] ).

cnf(7360,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))),multiply(inverse(inverse(C)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(D),inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),D),
    inference(para,[status(thm),theory(equality)],[183,56]),
    [iquote('para(183,56)')] ).

cnf(7666,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),multiply(inverse(C),C))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(E),E))))),
    inference(para,[status(thm),theory(equality)],[293,657]),
    [iquote('para(293,657)')] ).

cnf(7667,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(D),D)),multiply(inverse(inverse(B)),multiply(inverse(E),E)))),
    inference(flip,[status(thm),theory(equality)],[7666]),
    [iquote('flip(7666)')] ).

cnf(7706,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(A),A),multiply(inverse(B),B)))),multiply(inverse(multiply(inverse(C),C)),inverse(D)))),multiply(inverse(E),E)),D),
    inference(para,[status(thm),theory(equality)],[293,1579]),
    [iquote('para(293,1579)')] ).

cnf(7716,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))),multiply(inverse(inverse(C)),inverse(D)))),inverse(multiply(inverse(D),D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(F),F)))),F)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[186,71]),137,137]),
    [iquote('para(186,71),demod([137,137])')] ).

cnf(7717,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),F)))),multiply(E,inverse(multiply(inverse(F),F))))),multiply(inverse(inverse(D)),inverse(B)))),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[7716]),
    [iquote('flip(7716)')] ).

cnf(7728,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(multiply(inverse(inverse(D)),inverse(inverse(multiply(inverse(C),C))))))),B)),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(C),C))))),multiply(E,inverse(inverse(multiply(inverse(C),C))))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[186,104]),1328]),
    [iquote('para(186,104),demod([1328])')] ).

cnf(8009,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(multiply(C,inverse(multiply(inverse(D),D)))),multiply(C,inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(A),A))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(A))),multiply(E,inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(F),F)))),F)))),
    inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[188,71]),137,137]),
    [iquote('para(188,71),demod([137,137])')] ).

cnf(8010,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(B)),inverse(D))),multiply(inverse(multiply(E,inverse(multiply(inverse(F),F)))),multiply(E,inverse(multiply(inverse(F),F)))))),inverse(multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[8009]),
    [iquote('flip(8009)')] ).

cnf(8197,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),G)))),multiply(F,inverse(G)))),inverse(G)))),inverse(H)))),inverse(multiply(inverse(H),H)))),H)))),multiply(inverse(G),D)),
    inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[200,157]),1]),
    [iquote('para(200,157),flip(1)')] ).

cnf(8202,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B))),inverse(multiply(inverse(C),C)))),C)),inverse(C)),
    inference(para,[status(thm),theory(equality)],[305,3988]),
    [iquote('para(305,3988)')] ).

cnf(8203,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B)))),B)),inverse(B)),
    inference(para,[status(thm),theory(equality)],[305,3988]),
    [iquote('para(305,3988)')] ).

cnf(8207,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B)))),C)),inverse(C)),
    inference(para,[status(thm),theory(equality)],[305,8203]),
    [iquote('para(305,8203)')] ).

cnf(8208,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(A))),inverse(multiply(inverse(A),A))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[282]),8207]),
    [iquote('back_demod(282),demod([8207])')] ).

cnf(8209,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B))),inverse(multiply(inverse(B),B))),B),
    inference(para,[status(thm),theory(equality)],[305,8208]),
    [iquote('para(305,8208)')] ).

cnf(8211,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B))),inverse(multiply(inverse(C),C))),B),
    inference(para,[status(thm),theory(equality)],[305,8209]),
    [iquote('para(305,8209)')] ).

cnf(8215,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B))),C)),inverse(C)),
    inference(para,[status(thm),theory(equality)],[293,8207]),
    [iquote('para(293,8207)')] ).

cnf(8216,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),A)),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8202]),8215]),
    [iquote('back_demod(8202),demod([8215])')] ).

cnf(8217,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),inverse(B)),
    inference(para,[status(thm),theory(equality)],[305,8216]),
    [iquote('para(305,8216)')] ).

cnf(8218,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8211]),8217]),
    [iquote('back_demod(8211),demod([8217])')] ).

cnf(8219,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))),inverse(multiply(inverse(C),C))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6152]),8218]),
    [iquote('back_demod(6152),demod([8218])')] ).

cnf(8220,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6148]),8219]),
    [iquote('back_demod(6148),demod([8219])')] ).

cnf(8221,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),B)))))),multiply(inverse(C),C)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5942]),8220]),
    [iquote('back_demod(5942),demod([8220])')] ).

cnf(8222,plain,
    equal(multiply(inverse(inverse(A)),multiply(inverse(B),B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4630]),8221]),
    [iquote('back_demod(4630),demod([8221])')] ).

cnf(8228,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))),multiply(inverse(multiply(inverse(D),D)),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7667]),8222]),
    [iquote('back_demod(7667),demod([8222])')] ).

cnf(8229,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),B),multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(inverse(D),D))))),
    inference(flip,[status(thm),theory(equality)],[8228]),
    [iquote('flip(8228)')] ).

cnf(8245,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),multiply(multiply(inverse(D),D),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6138]),8222]),
    [iquote('back_demod(6138),demod([8222])')] ).

cnf(8246,plain,
    equal(multiply(multiply(inverse(A),A),B),multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(inverse(D),D)))))),
    inference(flip,[status(thm),theory(equality)],[8245]),
    [iquote('flip(8245)')] ).

cnf(8260,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(C),C)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1588]),8222]),
    [iquote('back_demod(1588),demod([8222])')] ).

cnf(8261,plain,
    equal(multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(B),B)))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6192]),8260]),
    [iquote('back_demod(6192),demod([8260])')] ).

cnf(8262,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(inverse(multiply(inverse(C),C))))))),multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(D))),B)),inverse(multiply(inverse(multiply(E,inverse(inverse(multiply(inverse(C),C))))),multiply(E,inverse(inverse(multiply(inverse(C),C))))))),multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7728]),8261]),
    [iquote('back_demod(7728),demod([8261])')] ).

cnf(8270,plain,
    equal(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(inverse(multiply(inverse(A),A))))))),multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4890]),8262]),
    [iquote('back_demod(4890),demod([8262])')] ).

cnf(8286,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),inverse(multiply(inverse(C),C))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4566]),8261]),
    [iquote('back_demod(4566),demod([8261])')] ).

cnf(8289,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(inverse(B)),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8010]),8286]),
    [iquote('back_demod(8010),demod([8286])')] ).

cnf(8290,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(B),B))))),multiply(inverse(inverse(C)),inverse(D)))),inverse(multiply(inverse(D),D))),multiply(inverse(inverse(D)),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7717]),8289]),1]),
    [iquote('back_demod(7717),demod([8289]),flip(1)')] ).

cnf(8295,plain,
    equal(multiply(inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(B),inverse(C)))),inverse(multiply(inverse(C),C)))),C)))),inverse(A)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7360]),8290]),
    [iquote('back_demod(7360),demod([8290])')] ).

cnf(8299,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(D,inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),multiply(inverse(multiply(D,inverse(B))),inverse(F)))),inverse(multiply(inverse(F),F))),multiply(inverse(inverse(F)),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6760]),8289]),1]),
    [iquote('back_demod(6760),demod([8289]),flip(1)')] ).

cnf(8310,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(D))),B)),inverse(multiply(inverse(C),C))),multiply(inverse(inverse(C)),inverse(D))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5062]),8289]),1]),
    [iquote('back_demod(5062),demod([8289]),flip(1)')] ).

cnf(8318,plain,
    equal(multiply(inverse(inverse(multiply(A,inverse(B)))),inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(E)),multiply(F,inverse(G)))),inverse(multiply(inverse(G),G)))),G))))),multiply(inverse(multiply(F,inverse(D))),inverse(B))))),multiply(A,inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6819]),8310]),
    [iquote('back_demod(6819),demod([8310])')] ).

cnf(8326,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C)))),inverse(D)),multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(multiply(inverse(C),C))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5390]),8310]),
    [iquote('back_demod(5390),demod([8310])')] ).

cnf(8327,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),A)))),multiply(E,inverse(A)))),inverse(A)))),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[8326]),
    [iquote('flip(8326)')] ).

cnf(8328,plain,
    equal(multiply(inverse(inverse(multiply(A,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(D),C)))),multiply(E,inverse(C)))),inverse(C)))),inverse(B))))),multiply(A,inverse(multiply(inverse(C),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5278]),8310]),
    [iquote('back_demod(5278),demod([8310])')] ).

cnf(8337,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D)),multiply(inverse(inverse(B)),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(multiply(inverse(C),C))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4622]),8310]),
    [iquote('back_demod(4622),demod([8310])')] ).

cnf(8338,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(D),D)))))),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(A),D)))),multiply(E,inverse(D)))),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[8337]),
    [iquote('flip(8337)')] ).

cnf(8358,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))),multiply(inverse(inverse(C)),inverse(B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4367]),8289]),1]),
    [iquote('back_demod(4367),demod([8289]),flip(1)')] ).

cnf(8375,plain,
    equal(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(inverse(inverse(C))),inverse(B))),inverse(inverse(multiply(inverse(A),A))))))),multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8270]),8358]),
    [iquote('back_demod(8270),demod([8358])')] ).

cnf(8402,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(B),multiply(C,inverse(D)))))),inverse(A))),inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(D)),multiply(G,inverse(H)))),inverse(multiply(inverse(H),H)))),H))))),multiply(inverse(multiply(G,inverse(F))),inverse(D))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6810]),8358]),
    [iquote('back_demod(6810),demod([8358])')] ).

cnf(8420,plain,
    equal(multiply(inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(A))))),inverse(C)),multiply(B,inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6329]),8358]),
    [iquote('back_demod(6329),demod([8358])')] ).

cnf(8458,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C)))),multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(C))),inverse(inverse(D)))),inverse(B))),inverse(E)))),inverse(multiply(inverse(E),E))),multiply(inverse(inverse(E)),inverse(D))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5003]),8358,8358]),1]),
    [iquote('back_demod(5003),demod([8358,8358]),flip(1)')] ).

cnf(8477,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(E),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),B)))),multiply(F,inverse(B)))),inverse(D)))),inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4475]),8358]),
    [iquote('back_demod(4475),demod([8358])')] ).

cnf(8478,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(D)))),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(C),C)))),multiply(F,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(D),D)))),D))))),
    inference(flip,[status(thm),theory(equality)],[8477]),
    [iquote('flip(8477)')] ).

cnf(8485,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),multiply(A,inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4434]),8358]),
    [iquote('back_demod(4434),demod([8358])')] ).

cnf(8486,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(multiply(D,inverse(multiply(inverse(C),inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),multiply(D,inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)))))),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),inverse(B)))),inverse(A))))),multiply(F,inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[8485]),
    [iquote('flip(8485)')] ).

cnf(8494,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),multiply(A,inverse(D))),multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4394]),8358]),
    [iquote('back_demod(4394),demod([8358])')] ).

cnf(8495,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(B,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),multiply(inverse(multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C))))),multiply(F,inverse(E)))),
    inference(flip,[status(thm),theory(equality)],[8494]),
    [iquote('flip(8494)')] ).

cnf(8538,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),inverse(C)),multiply(inverse(multiply(inverse(multiply(D,inverse(C))),multiply(inverse(inverse(multiply(D,inverse(B)))),inverse(A)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3912]),8358,8358]),
    [iquote('back_demod(3912),demod([8358,8358])')] ).

cnf(8539,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(D)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C)),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C)))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(C),C)))),C))),inverse(B))),
    inference(flip,[status(thm),theory(equality)],[8538]),
    [iquote('flip(8538)')] ).

cnf(8564,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3706]),8358]),
    [iquote('back_demod(3706),demod([8358])')] ).

cnf(8650,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),B)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C)))),multiply(inverse(multiply(inverse(multiply(G,inverse(C))),multiply(G,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(F),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2726]),8358]),
    [iquote('back_demod(2726),demod([8358])')] ).

cnf(8651,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(multiply(inverse(multiply(inverse(multiply(G,inverse(D))),multiply(G,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(flip,[status(thm),theory(equality)],[8650]),
    [iquote('flip(8650)')] ).

cnf(8657,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(E))),G)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))),multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2694]),8358]),
    [iquote('back_demod(2694),demod([8358])')] ).

cnf(8666,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G)),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(D),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2672]),8358]),
    [iquote('back_demod(2672),demod([8358])')] ).

cnf(8670,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),B)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C)))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2617]),8358]),
    [iquote('back_demod(2617),demod([8358])')] ).

cnf(8671,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D))),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(flip,[status(thm),theory(equality)],[8670]),
    [iquote('flip(8670)')] ).

cnf(8707,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(multiply(D,inverse(C))),multiply(inverse(inverse(multiply(D,inverse(inverse(B))))),inverse(A)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(B))),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(B))))),inverse(B)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[300]),8358]),
    [iquote('back_demod(300),demod([8358])')] ).

cnf(8708,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(inverse(inverse(multiply(A,inverse(inverse(C))))),inverse(D)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),
    inference(flip,[status(thm),theory(equality)],[8707]),
    [iquote('flip(8707)')] ).

cnf(8717,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B)))),multiply(inverse(D),multiply(inverse(inverse(D)),inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4805]),8358]),
    [iquote('back_demod(4805),demod([8358])')] ).

cnf(8718,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D))))),
    inference(flip,[status(thm),theory(equality)],[8717]),
    [iquote('flip(8717)')] ).

cnf(8777,plain,
    equal(multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D)))))))),inverse(inverse(inverse(inverse(multiply(inverse(D),D)))))))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3438]),8219,8219,8219,8358]),
    [iquote('back_demod(3438),demod([8219,8219,8219,8358])')] ).

cnf(8791,plain,
    equal(multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),A),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[137]),8358]),
    [iquote('back_demod(137),demod([8358])')] ).

cnf(8793,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),multiply(inverse(C),C)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1580]),8222]),
    [iquote('back_demod(1580),demod([8222])')] ).

cnf(8798,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(D))),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8671]),8793]),
    [iquote('back_demod(8671),demod([8793])')] ).

cnf(8799,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),B)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C)))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(E))),
    inference(flip,[status(thm),theory(equality)],[8798]),
    [iquote('flip(8798)')] ).

cnf(8800,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G))),multiply(inverse(multiply(inverse(D),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8666]),8793]),
    [iquote('back_demod(8666),demod([8793])')] ).

cnf(8803,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),E)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(G),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(E))),G)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))))),inverse(multiply(inverse(E),E))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8657]),8793,8793,8793]),
    [iquote('back_demod(8657),demod([8793,8793,8793])')] ).

cnf(8808,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(E),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(F,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(G)))),inverse(multiply(inverse(G),G)))),G))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8564]),8793]),
    [iquote('back_demod(8564),demod([8793])')] ).

cnf(8870,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),multiply(inverse(C),C)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1570]),8218]),
    [iquote('back_demod(1570),demod([8218])')] ).

cnf(8873,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C))))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),C)))),multiply(E,inverse(C)))),inverse(multiply(inverse(B),multiply(inverse(C),C))))),F))),inverse(multiply(inverse(C),C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),C)),multiply(inverse(C),C)))),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1385]),8218,8218,8870,8870,8870]),
    [iquote('back_demod(1385),demod([8218,8218,8870,8870,8870])')] ).

cnf(8877,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D))),B)),inverse(multiply(inverse(E),E))),multiply(inverse(D),inverse(multiply(inverse(E),E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1431]),8793]),
    [iquote('back_demod(1431),demod([8793])')] ).

cnf(8883,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(B),B))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),B)),multiply(inverse(B),B))))))),inverse(inverse(multiply(inverse(B),B))))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3147]),8877,8219,8220]),
    [iquote('back_demod(3147),demod([8877,8219,8220])')] ).

cnf(8900,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,inverse(C)))),inverse(C))),multiply(inverse(C),inverse(inverse(multiply(inverse(C),C))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3156]),8883]),1]),
    [iquote('back_demod(3156),demod([8883]),flip(1)')] ).

cnf(8910,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)),inverse(E)))),inverse(multiply(inverse(E),E)))),E))),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8808]),8900,8261]),
    [iquote('back_demod(8808),demod([8900,8261])')] ).

cnf(8911,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)),inverse(E)))),inverse(multiply(inverse(E),E)))),E)))),
    inference(flip,[status(thm),theory(equality)],[8910]),
    [iquote('flip(8910)')] ).

cnf(8930,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),multiply(A,inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)),inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8486]),8900,8261]),1]),
    [iquote('back_demod(8486),demod([8900,8261]),flip(1)')] ).

cnf(8932,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(B,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)),inverse(E)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8495]),8930]),
    [iquote('back_demod(8495),demod([8930])')] ).

cnf(8940,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3695]),8900,8261]),
    [iquote('back_demod(3695),demod([8900,8261])')] ).

cnf(8943,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2146]),8900,8261]),
    [iquote('back_demod(2146),demod([8900,8261])')] ).

cnf(8951,plain,
    equal(multiply(inverse(inverse(multiply(A,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(C),C))))),inverse(B))))),multiply(A,inverse(multiply(inverse(C),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8328]),8900]),
    [iquote('back_demod(8328),demod([8900])')] ).

cnf(8952,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(multiply(inverse(A),A)))))),multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8327]),8900]),
    [iquote('back_demod(8327),demod([8900])')] ).

cnf(8953,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),inverse(B)),multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(multiply(inverse(A),A))))))),
    inference(flip,[status(thm),theory(equality)],[8952]),
    [iquote('flip(8952)')] ).

cnf(8956,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,inverse(multiply(inverse(C),C))))))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(E),inverse(inverse(multiply(inverse(E),E))))),inverse(F)))),inverse(multiply(inverse(F),F)))),F)))),multiply(inverse(E),D)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8197]),8900]),
    [iquote('back_demod(8197),demod([8900])')] ).

cnf(9033,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3300]),8900,8900,8900]),
    [iquote('back_demod(3300),demod([8900,8900,8900])')] ).

cnf(9036,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(inverse(multiply(inverse(C),C))))))),inverse(inverse(inverse(multiply(inverse(C),C)))))),inverse(C))),multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(D),D))))))),inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(C),multiply(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(C),C))))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3174]),8900,8219]),1]),
    [iquote('back_demod(3174),demod([8900,8219]),flip(1)')] ).

cnf(9037,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),inverse(A))),multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3171]),8900,8219,9036]),1]),
    [iquote('back_demod(3171),demod([8900,8219,9036]),flip(1)')] ).

cnf(9039,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9033]),9037,9037,9037,9037,9037,9037]),
    [iquote('back_demod(9033),demod([9037,9037,9037,9037,9037,9037])')] ).

cnf(9055,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(multiply(inverse(A),A))))))),inverse(A))),inverse(multiply(inverse(inverse(A)),inverse(A)))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2986]),8900,8261,8220]),
    [iquote('back_demod(2986),demod([8900,8261,8220])')] ).

cnf(9063,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))))),multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(inverse(multiply(inverse(A),A)))))),inverse(inverse(D))))),inverse(multiply(inverse(inverse(D)),inverse(D))))),inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2220]),8900,9037]),
    [iquote('back_demod(2220),demod([8900,9037])')] ).

cnf(9066,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(A))),inverse(multiply(inverse(inverse(A)),inverse(A)))),multiply(inverse(B),inverse(multiply(inverse(A),A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1441]),8900,8261,8220]),
    [iquote('back_demod(1441),demod([8900,8261,8220])')] ).

cnf(9067,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(inverse(C),C))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9055]),9066,8219]),
    [iquote('back_demod(9055),demod([9066,8219])')] ).

cnf(9068,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),B)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(A),inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))),multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(A),inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))))),multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(inverse(A),inverse(inverse(C))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9063]),9067,9067,9067]),
    [iquote('back_demod(9063),demod([9067,9067,9067])')] ).

cnf(9089,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(B))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(C,inverse(multiply(inverse(D),E)))),multiply(C,inverse(E)))),inverse(multiply(inverse(A),multiply(inverse(E),E))))),D))),inverse(multiply(inverse(E),E))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(E),E)),multiply(inverse(E),E)))),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8873]),9067]),
    [iquote('back_demod(8873),demod([9067])')] ).

cnf(9117,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(E,inverse(multiply(inverse(F),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),multiply(E,inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))))),inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))))),F)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8651]),9067]),
    [iquote('back_demod(8651),demod([9067])')] ).

cnf(9118,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),multiply(A,inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))))),inverse(multiply(inverse(E),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))))),B)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C)))),multiply(inverse(multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(E),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),
    inference(flip,[status(thm),theory(equality)],[9117]),
    [iquote('flip(9117)')] ).

cnf(9149,plain,
    equal(multiply(multiply(inverse(A),A),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8246]),9067]),
    [iquote('back_demod(8246),demod([9067])')] ).

cnf(9151,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),multiply(inverse(C),C)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7706]),9149,8217]),
    [iquote('back_demod(7706),demod([9149,8217])')] ).

cnf(9152,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(C),C)))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[269]),8218,9151]),
    [iquote('back_demod(269),demod([8218,9151])')] ).

cnf(9180,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(D),D))))),inverse(E)))),inverse(multiply(inverse(E),E)))),E)))),multiply(inverse(D),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8956]),9152]),
    [iquote('back_demod(8956),demod([9152])')] ).

cnf(9182,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(A),A))))),inverse(B)),multiply(inverse(inverse(A)),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8953]),9152]),
    [iquote('back_demod(8953),demod([9152])')] ).

cnf(9184,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(C),multiply(inverse(inverse(D)),inverse(E)))),inverse(multiply(inverse(E),E)))),E)))),multiply(inverse(D),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9180]),9182]),
    [iquote('back_demod(9180),demod([9182])')] ).

cnf(9192,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(A),multiply(B,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D))),inverse(D))))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(D),D)))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9039]),9182,9182,9182]),
    [iquote('back_demod(9039),demod([9182,9182,9182])')] ).

cnf(9205,plain,
    equal(multiply(inverse(inverse(multiply(A,inverse(B)))),inverse(multiply(inverse(C),multiply(inverse(inverse(C)),inverse(B))))),multiply(A,inverse(multiply(inverse(C),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8951]),9182]),
    [iquote('back_demod(8951),demod([9182])')] ).

cnf(9259,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(A),A)))),inverse(multiply(inverse(B),inverse(multiply(inverse(A),A))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3382]),9067,9152,8218,8218,8870,9089,8220]),
    [iquote('back_demod(3382),demod([9067,9152,8218,8218,8870,9089,8220])')] ).

cnf(9267,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(D)),multiply(inverse(inverse(B)),inverse(D))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8338]),9152]),1]),
    [iquote('back_demod(8338),demod([9152]),flip(1)')] ).

cnf(9271,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9118]),9267,8791]),
    [iquote('back_demod(9118),demod([9267,8791])')] ).

cnf(9272,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),multiply(inverse(multiply(inverse(D),inverse(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(flip,[status(thm),theory(equality)],[9271]),
    [iquote('flip(9271)')] ).

cnf(9285,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)),inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8932]),9267]),
    [iquote('back_demod(8932),demod([9267])')] ).

cnf(9286,plain,
    equal(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B)),inverse(C))),multiply(inverse(D),multiply(inverse(inverse(D)),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[9285]),
    [iquote('flip(9285)')] ).

cnf(9290,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(D),E)))),multiply(inverse(E),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))))),inverse(multiply(inverse(E),E))),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8803]),9267,8791]),
    [iquote('back_demod(8803),demod([9267,8791])')] ).

cnf(9293,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(D),multiply(inverse(inverse(E)),inverse(F)))),inverse(multiply(inverse(F),F)))),F))),multiply(inverse(multiply(inverse(D),E)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8800]),9267]),
    [iquote('back_demod(8800),demod([9267])')] ).

cnf(9294,plain,
    equal(multiply(inverse(multiply(inverse(A),B)),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))),inverse(C)))),multiply(inverse(multiply(inverse(multiply(E,inverse(C))),multiply(E,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D))),inverse(D)))))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),inverse(F)))),inverse(multiply(inverse(F),F)))),F)))),
    inference(flip,[status(thm),theory(equality)],[9293]),
    [iquote('flip(9293)')] ).

cnf(9295,plain,
    equal(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))),multiply(inverse(multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8799]),9267,8791]),
    [iquote('back_demod(8799),demod([9267,8791])')] ).

cnf(9296,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))))),inverse(D)),multiply(inverse(D),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B))))),
    inference(flip,[status(thm),theory(equality)],[9295]),
    [iquote('flip(9295)')] ).

cnf(9304,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(inverse(A)),inverse(B)))),inverse(C))),multiply(inverse(multiply(D,inverse(multiply(inverse(E),E)))),multiply(D,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8478]),9267]),
    [iquote('back_demod(8478),demod([9267])')] ).

cnf(9305,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(D),D)))),D)))),multiply(inverse(E),multiply(inverse(inverse(multiply(inverse(inverse(E)),inverse(D)))),inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[9304]),
    [iquote('flip(9304)')] ).

cnf(9310,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(D),multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(inverse(inverse(inverse(B))),inverse(F)))),inverse(multiply(inverse(F),F)))),F)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[7100]),9152,9267]),
    [iquote('back_demod(7100),demod([9152,9267])')] ).

cnf(9311,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(B,inverse(A))),multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(inverse(inverse(inverse(D))),inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),multiply(inverse(multiply(F,inverse(D))),multiply(F,inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[9310]),
    [iquote('flip(9310)')] ).

cnf(9312,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(multiply(inverse(multiply(D,inverse(E))),multiply(D,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(B)),multiply(inverse(inverse(inverse(C))),inverse(F)))),inverse(multiply(inverse(F),F)))),F))))),E)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6717]),9267,9152]),
    [iquote('back_demod(6717),demod([9267,9152])')] ).

cnf(9313,plain,
    equal(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(C)),multiply(inverse(inverse(inverse(D))),inverse(E)))),inverse(multiply(inverse(E),E)))),E))))),B),multiply(inverse(multiply(F,inverse(C))),multiply(F,inverse(D)))),
    inference(flip,[status(thm),theory(equality)],[9312]),
    [iquote('flip(9312)')] ).

cnf(9328,plain,
    equal(multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),multiply(A,inverse(C))),multiply(inverse(D),multiply(inverse(multiply(inverse(D),inverse(multiply(inverse(B),B)))),inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[4419]),9067,8261,9267,8791]),
    [iquote('back_demod(4419),demod([9067,8261,9267,8791])')] ).

cnf(9329,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),inverse(C))),multiply(inverse(multiply(D,inverse(inverse(multiply(inverse(B),B))))),multiply(D,inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[9328]),
    [iquote('flip(9328)')] ).

cnf(9331,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),inverse(C)))),inverse(multiply(inverse(C),C))),C),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3972]),8261,9267,8791]),
    [iquote('back_demod(3972),demod([8261,9267,8791])')] ).

cnf(9340,plain,
    equal(multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3191]),9067,9267,8791]),
    [iquote('back_demod(3191),demod([9067,9267,8791])')] ).

cnf(9341,plain,
    equal(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(B)),multiply(inverse(B),inverse(inverse(inverse(multiply(inverse(A),A)))))),
    inference(flip,[status(thm),theory(equality)],[9340]),
    [iquote('flip(9340)')] ).

cnf(9346,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(inverse(C),multiply(inverse(D),D))))),inverse(multiply(inverse(E),inverse(inverse(multiply(inverse(B),B))))))),multiply(inverse(C),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(B))))),multiply(A,inverse(multiply(inverse(E),B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3030]),9267,9067,9067]),
    [iquote('back_demod(3030),demod([9267,9067,9067])')] ).

cnf(9347,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),multiply(inverse(B),B))))),inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(multiply(E,inverse(D))),multiply(E,inverse(D))))),multiply(E,inverse(multiply(inverse(C),D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3029]),9067,9067,9267]),
    [iquote('back_demod(3029),demod([9067,9067,9267])')] ).

cnf(9348,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(C))))),inverse(multiply(inverse(D),multiply(inverse(E),E))))),inverse(B))),multiply(inverse(D),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3022]),9267,9067]),
    [iquote('back_demod(3022),demod([9267,9067])')] ).

cnf(9349,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(inverse(C),multiply(inverse(D),D))))),inverse(E))),multiply(inverse(C),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(B))))),multiply(A,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(B),B)))),B)))),
    inference(flip,[status(thm),theory(equality)],[9348]),
    [iquote('flip(9348)')] ).

cnf(9356,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),inverse(inverse(multiply(inverse(C),C)))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1424]),9067]),
    [iquote('back_demod(1424),demod([9067])')] ).

cnf(9367,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(inverse(C),C)))))),multiply(inverse(A),multiply(B,inverse(inverse(D)))))),inverse(inverse(multiply(inverse(E),E)))),multiply(inverse(D),inverse(inverse(multiply(inverse(E),E))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2880]),8219,9356,9067]),
    [iquote('back_demod(2880),demod([8219,9356,9067])')] ).

cnf(9368,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(inverse(multiply(inverse(multiply(A,inverse(C))),multiply(A,inverse(C)))))),multiply(inverse(multiply(D,inverse(B))),multiply(D,inverse(multiply(A,inverse(C)))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2872]),8219,9356,9367]),
    [iquote('back_demod(2872),demod([8219,9356,9367])')] ).

cnf(9369,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,inverse(D))))),multiply(inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(D),D)))),D)))),inverse(inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))))),
    inference(flip,[status(thm),theory(equality)],[9368]),
    [iquote('flip(9368)')] ).

cnf(9378,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(D))))),multiply(C,inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[867]),9267,8791]),
    [iquote('back_demod(867),demod([9267,8791])')] ).

cnf(9385,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(B)))),inverse(C))),B),C),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[167]),9152,9267]),1]),
    [iquote('back_demod(167),demod([9152,9267]),flip(1)')] ).

cnf(9392,plain,
    equal(multiply(inverse(multiply(inverse(A),A)),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8229]),9152]),
    [iquote('back_demod(8229),demod([9152])')] ).

cnf(9401,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),inverse(multiply(inverse(A),A))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9259]),9392]),
    [iquote('back_demod(9259),demod([9392])')] ).

cnf(9425,plain,
    equal(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),inverse(multiply(inverse(C),C))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[1425]),8220,9392]),
    [iquote('back_demod(1425),demod([8220,9392])')] ).

cnf(9428,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(inverse(C),D)))),multiply(B,inverse(D)))))),E),multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(C),D))),multiply(inverse(multiply(inverse(E),multiply(A,inverse(inverse(D))))),inverse(inverse(F))))),inverse(multiply(inverse(inverse(F)),inverse(F))))),inverse(F))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3506]),9425]),
    [iquote('back_demod(3506),demod([9425])')] ).

cnf(9429,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),B))),multiply(inverse(multiply(inverse(C),multiply(D,inverse(inverse(B))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E)),multiply(inverse(multiply(D,inverse(multiply(inverse(multiply(F,inverse(multiply(inverse(A),B)))),multiply(F,inverse(B)))))),C)),
    inference(flip,[status(thm),theory(equality)],[9428]),
    [iquote('flip(9428)')] ).

cnf(9435,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),B))),multiply(inverse(multiply(inverse(C),multiply(D,inverse(inverse(B))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E)),multiply(inverse(multiply(D,inverse(A))),C)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2376]),9425]),1]),
    [iquote('back_demod(2376),demod([9425]),flip(1)')] ).

cnf(9440,plain,
    equal(multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))),multiply(inverse(inverse(B)),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[658]),9392]),
    [iquote('back_demod(658),demod([9392])')] ).

cnf(9447,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),B))),multiply(inverse(multiply(inverse(C),multiply(D,inverse(inverse(B))))),inverse(inverse(E))))),inverse(multiply(inverse(inverse(E)),inverse(E))))),inverse(E)),multiply(inverse(multiply(D,inverse(multiply(inverse(inverse(multiply(inverse(A),B))),inverse(B))))),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9429]),9440]),
    [iquote('back_demod(9429),demod([9440])')] ).

cnf(9448,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C))))),D),multiply(inverse(multiply(A,inverse(B))),D)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9435]),9447]),
    [iquote('back_demod(9435),demod([9447])')] ).

cnf(9458,plain,
    equal(multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),inverse(multiply(C,inverse(D)))))),inverse(multiply(inverse(inverse(D)),inverse(D)))),multiply(C,inverse(D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9378]),9440]),
    [iquote('back_demod(9378),demod([9440])')] ).

cnf(9461,plain,
    equal(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C)))),inverse(inverse(multiply(inverse(inverse(C)),inverse(C))))),multiply(inverse(inverse(B)),inverse(multiply(A,inverse(C))))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9369]),9440,9440]),1]),
    [iquote('back_demod(9369),demod([9440,9440]),flip(1)')] ).

cnf(9472,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(inverse(C),multiply(inverse(D),D))))),inverse(E))),multiply(inverse(C),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(B)),inverse(B)))),multiply(A,inverse(multiply(inverse(multiply(inverse(E),inverse(multiply(inverse(B),B)))),B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9349]),9440]),
    [iquote('back_demod(9349),demod([9440])')] ).

cnf(9473,plain,
    equal(multiply(A,inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(C))))),inverse(multiply(inverse(D),multiply(inverse(E),E))))),inverse(B))),multiply(inverse(D),inverse(inverse(multiply(inverse(E),E)))))),inverse(multiply(inverse(inverse(C)),inverse(C))))),
    inference(flip,[status(thm),theory(equality)],[9472]),
    [iquote('flip(9472)')] ).

cnf(9474,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))),multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(D),D))))))),inverse(multiply(inverse(A),multiply(inverse(B),B))))),inverse(multiply(E,inverse(D)))))),inverse(multiply(inverse(inverse(D)),inverse(D)))),multiply(E,inverse(multiply(inverse(C),D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9347]),9440]),
    [iquote('back_demod(9347),demod([9440])')] ).

cnf(9475,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(inverse(C),multiply(inverse(D),D))))),inverse(multiply(inverse(E),inverse(inverse(multiply(inverse(B),B))))))),multiply(inverse(C),inverse(inverse(multiply(inverse(D),D)))))),inverse(multiply(inverse(inverse(B)),inverse(B)))),multiply(A,inverse(multiply(inverse(E),B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9346]),9440]),
    [iquote('back_demod(9346),demod([9440])')] ).

cnf(9489,plain,
    equal(multiply(inverse(A),multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),inverse(C))),multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9329]),9440]),
    [iquote('back_demod(9329),demod([9440])')] ).

cnf(9490,plain,
    equal(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(B)),multiply(inverse(C),multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(A),A)))),inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[9489]),
    [iquote('flip(9489)')] ).

cnf(9495,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(inverse(inverse(B))),inverse(C)))),inverse(multiply(inverse(C),C)))),C),multiply(inverse(inverse(A)),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9313]),9440,8791,9440]),
    [iquote('back_demod(9313),demod([9440,8791,9440])')] ).

cnf(9496,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(multiply(inverse(inverse(B)),inverse(C))))),multiply(inverse(inverse(C)),inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9311]),9495,9440,9440]),
    [iquote('back_demod(9311),demod([9495,9440,9440])')] ).

cnf(9500,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),multiply(inverse(D),multiply(inverse(inverse(multiply(inverse(inverse(D)),inverse(C)))),inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9305]),9440]),
    [iquote('back_demod(9305),demod([9440])')] ).

cnf(9501,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(inverse(A)),inverse(B)))),inverse(C))),multiply(inverse(inverse(multiply(inverse(D),D))),inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(B),B)))),B)))),
    inference(flip,[status(thm),theory(equality)],[9500]),
    [iquote('flip(9500)')] ).

cnf(9504,plain,
    equal(multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))),C))),inverse(C)))),inverse(B)))),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9296]),9440,9448,9392]),1]),
    [iquote('back_demod(9296),demod([9440,9448,9392]),flip(1)')] ).

cnf(9505,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(inverse(inverse(B)),inverse(C)))),inverse(multiply(inverse(C),C)))),C)),inverse(multiply(inverse(A),B))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9294]),9504,9440,9448,9392]),1]),
    [iquote('back_demod(9294),demod([9504,9440,9448,9392]),flip(1)')] ).

cnf(9507,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C))),multiply(inverse(C),B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9184]),9505,9440]),
    [iquote('back_demod(9184),demod([9505,9440])')] ).

cnf(9508,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(multiply(inverse(inverse(A)),inverse(B)))),inverse(C))),multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(B),B))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9501]),9507]),
    [iquote('back_demod(9501),demod([9507])')] ).

cnf(9509,plain,
    equal(multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(A),A)))),multiply(inverse(C),multiply(inverse(inverse(multiply(inverse(inverse(C)),inverse(A)))),inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[9508]),
    [iquote('flip(9508)')] ).

cnf(9512,plain,
    equal(multiply(inverse(inverse(multiply(inverse(A),A))),B),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9401]),9507]),
    [iquote('back_demod(9401),demod([9507])')] ).

cnf(9513,plain,
    equal(inverse(multiply(inverse(A),B)),multiply(inverse(B),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9507]),9512]),
    [iquote('back_demod(9507),demod([9512])')] ).

cnf(9516,plain,
    equal(multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),A))),multiply(inverse(C),multiply(multiply(inverse(inverse(C)),inverse(A)),inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9509]),9513,9513,9513]),
    [iquote('back_demod(9509),demod([9513,9513,9513])')] ).

cnf(9517,plain,
    equal(multiply(inverse(A),multiply(multiply(inverse(inverse(A)),inverse(B)),inverse(C))),multiply(inverse(B),multiply(inverse(C),multiply(inverse(B),B)))),
    inference(flip,[status(thm),theory(equality)],[9516]),
    [iquote('flip(9516)')] ).

cnf(9519,plain,
    equal(multiply(inverse(A),multiply(multiply(multiply(inverse(inverse(A)),inverse(B)),C),multiply(inverse(A),A))),multiply(inverse(B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9505]),9513,9513,9513,9513,9513]),
    [iquote('back_demod(9505),demod([9513,9513,9513,9513,9513])')] ).

cnf(9520,plain,
    equal(multiply(inverse(A),inverse(multiply(multiply(inverse(inverse(multiply(B,C))),inverse(C)),inverse(B)))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9504]),9513,9513,9513,9149,9513,9513]),
    [iquote('back_demod(9504),demod([9513,9513,9513,9149,9513,9513])')] ).

cnf(9526,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),inverse(C)))),multiply(inverse(inverse(B)),inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9496]),9513]),
    [iquote('back_demod(9496),demod([9513])')] ).

cnf(9529,plain,
    equal(multiply(inverse(A),multiply(A,inverse(B))),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9490]),9513,9513,9513,9149,9513,9513,9513,9149]),1]),
    [iquote('back_demod(9490),demod([9513,9513,9513,9149,9513,9513,9513,9149]),flip(1)')] ).

cnf(9530,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(B))),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9286]),9513,9513,9513,9149,9513,9513,9513,9149,9529]),1]),
    [iquote('back_demod(9286),demod([9513,9513,9513,9149,9513,9513,9513,9149,9529]),flip(1)')] ).

cnf(9533,plain,
    equal(multiply(multiply(inverse(inverse(A)),inverse(B)),B),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9385]),9530,9513]),
    [iquote('back_demod(9385),demod([9530,9513])')] ).

cnf(9535,plain,
    equal(multiply(inverse(inverse(multiply(A,inverse(B)))),inverse(inverse(B))),multiply(A,multiply(inverse(C),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9205]),9530,9513]),
    [iquote('back_demod(9205),demod([9530,9513])')] ).

cnf(9536,plain,
    equal(multiply(A,multiply(inverse(B),B)),multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[9535]),
    [iquote('flip(9535)')] ).

cnf(9539,plain,
    equal(multiply(inverse(inverse(A)),inverse(multiply(B,A))),inverse(B)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8718]),9530,9513,9513,9513,9149,9440]),1]),
    [iquote('back_demod(8718),demod([9530,9513,9513,9513,9149,9440]),flip(1)')] ).

cnf(9541,plain,
    equal(multiply(inverse(inverse(A)),inverse(B)),multiply(A,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8420]),9539]),
    [iquote('back_demod(8420),demod([9539])')] ).

cnf(9543,plain,
    equal(multiply(A,inverse(multiply(B,A))),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9539]),9541]),
    [iquote('back_demod(9539),demod([9541])')] ).

cnf(9544,plain,
    equal(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,inverse(C)),inverse(inverse(C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9536]),9541]),
    [iquote('back_demod(9536),demod([9541])')] ).

cnf(9545,plain,
    equal(multiply(multiply(A,inverse(B)),inverse(inverse(B))),multiply(A,multiply(inverse(C),C))),
    inference(flip,[status(thm),theory(equality)],[9544]),
    [iquote('flip(9544)')] ).

cnf(9546,plain,
    equal(multiply(multiply(A,inverse(B)),B),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9533]),9541]),
    [iquote('back_demod(9533),demod([9541])')] ).

cnf(9551,plain,
    equal(multiply(inverse(A),multiply(inverse(inverse(A)),multiply(B,inverse(C)))),multiply(B,inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9526]),9541,9541]),
    [iquote('back_demod(9526),demod([9541,9541])')] ).

cnf(9556,plain,
    equal(multiply(inverse(A),inverse(multiply(multiply(multiply(B,C),inverse(C)),inverse(B)))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9520]),9541]),
    [iquote('back_demod(9520),demod([9541])')] ).

cnf(9557,plain,
    equal(multiply(inverse(A),multiply(multiply(multiply(A,inverse(B)),C),multiply(inverse(A),A))),multiply(inverse(B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9519]),9541]),
    [iquote('back_demod(9519),demod([9541])')] ).

cnf(9559,plain,
    equal(multiply(inverse(A),multiply(multiply(A,inverse(B)),inverse(C))),multiply(inverse(B),multiply(inverse(C),multiply(inverse(B),B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9517]),9541]),
    [iquote('back_demod(9517),demod([9541])')] ).

cnf(9560,plain,
    equal(multiply(inverse(A),multiply(inverse(B),multiply(inverse(A),A))),multiply(inverse(C),multiply(multiply(C,inverse(A)),inverse(B)))),
    inference(flip,[status(thm),theory(equality)],[9559]),
    [iquote('flip(9559)')] ).

cnf(9575,plain,
    equal(multiply(multiply(A,multiply(multiply(inverse(A),inverse(inverse(multiply(B,inverse(C))))),D)),inverse(multiply(C,inverse(C)))),multiply(B,multiply(inverse(C),D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9475]),9513,9513,9149,9513,9513,9513,9513,9513,9149,9513,9513,9513,9513,9513,9149,9541,9513]),
    [iquote('back_demod(9475),demod([9513,9513,9149,9513,9513,9513,9513,9513,9149,9513,9513,9513,9513,9513,9149,9541,9513])')] ).

cnf(9576,plain,
    equal(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),inverse(multiply(C,inverse(D)))))),inverse(multiply(D,inverse(D)))),multiply(C,multiply(inverse(D),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9474]),9513,9513,9513,9513,9149,9513,9513,9513,9513,9149,9513,9513,9149,9513,9541,9513]),
    [iquote('back_demod(9474),demod([9513,9513,9513,9513,9149,9513,9513,9513,9513,9149,9513,9513,9149,9513,9541,9513])')] ).

cnf(9577,plain,
    equal(multiply(A,inverse(multiply(B,C))),multiply(A,multiply(inverse(C),inverse(B)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9473]),9513,9513,9513,9149,9513,9513,9149,9513,9513,9513,9513,9513,9513,9149,9541,9575]),
    [iquote('back_demod(9473),demod([9513,9513,9513,9149,9513,9513,9149,9513,9513,9513,9513,9513,9513,9149,9541,9575])')] ).

cnf(9578,plain,
    equal(multiply(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),multiply(C,inverse(D))))),multiply(C,inverse(C))),multiply(D,multiply(inverse(C),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9576]),9577,9541,9577,9541]),
    [iquote('back_demod(9576),demod([9577,9541,9577,9541])')] ).

cnf(9592,plain,
    equal(multiply(inverse(A),multiply(B,inverse(B))),inverse(A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9556]),9577,9577,9577,9529,9541]),
    [iquote('back_demod(9556),demod([9577,9577,9577,9529,9541])')] ).

cnf(9596,plain,
    equal(inverse(multiply(A,multiply(multiply(inverse(A),inverse(B)),multiply(C,inverse(D))))),multiply(D,multiply(inverse(C),B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9578]),9592]),
    [iquote('back_demod(9578),demod([9592])')] ).

cnf(9599,plain,
    equal(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(A))),C),multiply(inverse(A),A))),multiply(inverse(D),D))),D),multiply(multiply(inverse(D),multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(A))),C),multiply(inverse(A),A))),multiply(inverse(D),D))),multiply(inverse(multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(A))),C),multiply(inverse(A),A))),multiply(inverse(D),D))),D)))),multiply(inverse(multiply(D,inverse(D))),multiply(inverse(C),multiply(B,multiply(inverse(inverse(D)),multiply(inverse(D),multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(A))),C),multiply(inverse(A),A))),multiply(inverse(D),D)))))))),multiply(inverse(D),multiply(multiply(inverse(A),multiply(multiply(inverse(multiply(B,inverse(A))),C),multiply(inverse(A),A))),multiply(inverse(D),D)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8943]),9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9577,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9440,9541,9577,9541,9577,9513,9513,9513,9513,9513,9513]),
    [iquote('back_demod(8943),demod([9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9577,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9513,9440,9541,9577,9541,9577,9513,9513,9513,9513,9513,9513])')] ).

cnf(9609,plain,
    equal(multiply(inverse(A),multiply(inverse(B),B)),inverse(A)),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9341]),9513,9513,9513,9149,9513,9513,9513]),1]),
    [iquote('back_demod(9341),demod([9513,9513,9513,9149,9513,9513,9513]),flip(1)')] ).

cnf(9613,plain,
    equal(multiply(inverse(A),multiply(multiply(A,inverse(B)),inverse(C))),multiply(inverse(B),inverse(C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9560]),9609]),1]),
    [iquote('back_demod(9560),demod([9609]),flip(1)')] ).

cnf(9617,plain,
    equal(inverse(multiply(A,inverse(B))),multiply(B,inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9458]),9609,9577,9541,9551,9541,9577,9541,9592]),
    [iquote('back_demod(9458),demod([9609,9577,9541,9551,9541,9577,9541,9592])')] ).

cnf(9625,plain,
    equal(multiply(inverse(multiply(multiply(inverse(multiply(multiply(inverse(A),B),multiply(inverse(C),C))),C),multiply(multiply(inverse(C),multiply(multiply(inverse(A),B),multiply(inverse(C),C))),multiply(inverse(multiply(multiply(inverse(A),B),multiply(inverse(C),C))),C)))),multiply(multiply(C,inverse(C)),multiply(inverse(B),multiply(A,multiply(inverse(inverse(C)),multiply(inverse(C),multiply(multiply(inverse(A),B),multiply(inverse(C),C)))))))),multiply(inverse(C),multiply(multiply(inverse(A),B),multiply(inverse(C),C)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9599]),9617,9557,9617,9557,9617,9557,9617,9617,9557,9617,9557]),
    [iquote('back_demod(9599),demod([9617,9557,9617,9557,9617,9557,9617,9617,9557,9617,9557])')] ).

cnf(9649,plain,
    equal(inverse(multiply(A,multiply(inverse(B),inverse(C)))),multiply(inverse(inverse(C)),multiply(B,inverse(A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9461]),9513,9609,9513,9541,9617,9617,9592,9617]),
    [iquote('back_demod(9461),demod([9513,9609,9513,9541,9617,9617,9592,9617])')] ).

cnf(9659,plain,
    equal(inverse(inverse(A)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9331]),9513,9609,9541,9529,9513,9609]),
    [iquote('back_demod(9331),demod([9513,9609,9541,9529,9513,9609])')] ).

cnf(9664,plain,
    equal(inverse(multiply(A,multiply(inverse(B),inverse(C)))),multiply(C,multiply(B,inverse(A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9649]),9659]),
    [iquote('back_demod(9649),demod([9659])')] ).

cnf(9665,plain,
    equal(multiply(multiply(A,multiply(inverse(multiply(multiply(B,inverse(C)),multiply(C,inverse(B)))),multiply(inverse(A),D))),multiply(inverse(A),A)),D),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9290]),9617,9513,9609,9659,9659,9617,9543,9513,9513,9513,9513,9609,9659,9659,9617,9543,9659,9617,9592,9617,9577,9513,9513]),
    [iquote('back_demod(9290),demod([9617,9513,9609,9659,9659,9617,9543,9513,9513,9513,9513,9609,9659,9659,9617,9543,9659,9617,9592,9617,9577,9513,9513])')] ).

cnf(9666,plain,
    equal(multiply(inverse(multiply(multiply(A,inverse(B)),multiply(B,inverse(A)))),C),multiply(C,multiply(A,inverse(A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9272]),9617,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9513,9513,9617,9543,9149,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9513,9617,9543,9513,9609,9659,9513,9609,9659,9659,9617,9543,9659,9617]),
    [iquote('back_demod(9272),demod([9617,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9513,9513,9617,9543,9149,9513,9609,9659,9659,9617,9543,9513,9609,9659,9659,9513,9617,9543,9513,9609,9659,9513,9609,9659,9659,9617,9543,9659,9617])')] ).

cnf(9667,plain,
    equal(multiply(A,multiply(B,inverse(B))),multiply(inverse(multiply(multiply(B,inverse(C)),multiply(C,inverse(B)))),A)),
    inference(flip,[status(thm),theory(equality)],[9666]),
    [iquote('flip(9666)')] ).

cnf(9679,plain,
    equal(multiply(inverse(multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(multiply(inverse(multiply(B,multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))))),C),multiply(multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),multiply(multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A),inverse(A)))))),multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A))),multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9192]),9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9617,9513,9513,9557,9513,9513,9513,9577,9617,9513,9577,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9577,9513,9513,9513,9617,9513,9513,9557,9513]),
    [iquote('back_demod(9192),demod([9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9617,9513,9513,9557,9513,9513,9513,9577,9617,9513,9577,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9577,9513,9513,9513,9617,9513,9513,9557,9513])')] ).

cnf(9708,plain,
    equal(multiply(inverse(multiply(multiply(multiply(inverse(A),B),C),multiply(A,inverse(A)))),inverse(A)),inverse(multiply(B,C))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9068]),9513,9513,9609,9659,9659,9513,9513,9659,9617,9617,9659,9659,9513,9513,9659,9617,9664,9543,9592,9659,9513,9513,9659,9617]),1]),
    [iquote('back_demod(9068),demod([9513,9513,9609,9659,9659,9513,9513,9659,9617,9617,9659,9659,9513,9513,9659,9617,9664,9543,9592,9659,9513,9513,9659,9617]),flip(1)')] ).

cnf(9736,plain,
    equal(multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(inverse(multiply(multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),multiply(multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A),inverse(A)))),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))))))),multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8940]),9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9617,9513,9513,9557,9513,9513,9513,9577,9617,9513,9577,9513,9577,9513,9513,9617,9513,9513,9557,9513,9513]),
    [iquote('back_demod(8940),demod([9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9513,9617,9513,9513,9557,9513,9513,9513,9617,9513,9513,9617,9513,9513,9557,9513,9513,9513,9577,9617,9513,9577,9513,9577,9513,9513,9617,9513,9513,9557,9513,9513])')] ).

cnf(9742,plain,
    equal(multiply(multiply(A,multiply(B,C)),multiply(A,inverse(A))),multiply(inverse(multiply(multiply(A,inverse(D)),multiply(D,inverse(A)))),multiply(inverse(E),multiply(multiply(E,multiply(multiply(A,B),C)),multiply(inverse(E),E))))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8911]),9513,9609,9659,9577,9664,9659,9513,9609,9659,9659,9617,9543,9659,9617,9617,9513,9609,9659,9659,9617,9543,9513,9609,9659,9664,9659,9513,9513]),
    [iquote('back_demod(8911),demod([9513,9609,9659,9577,9664,9659,9513,9609,9659,9659,9617,9543,9659,9617,9617,9513,9609,9659,9659,9617,9543,9513,9609,9659,9664,9659,9513,9513])')] ).

cnf(9743,plain,
    equal(multiply(inverse(multiply(multiply(A,inverse(B)),multiply(B,inverse(A)))),multiply(inverse(C),multiply(multiply(C,multiply(multiply(A,D),E)),multiply(inverse(C),C)))),multiply(multiply(A,multiply(D,E)),multiply(A,inverse(A)))),
    inference(flip,[status(thm),theory(equality)],[9742]),
    [iquote('flip(9742)')] ).

cnf(9779,plain,
    equal(multiply(inverse(multiply(multiply(A,inverse(B)),multiply(multiply(B,C),inverse(D)))),multiply(multiply(C,inverse(D)),multiply(D,inverse(C)))),multiply(D,multiply(inverse(C),inverse(A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8708]),9617,9659,9659,9659,9617,9592,9659,9617,9659,9617,9592,9659,9577,9617,9617,9659,9617,9592,9659,9513,9609,9659,9577]),
    [iquote('back_demod(8708),demod([9617,9659,9659,9659,9617,9592,9659,9617,9659,9617,9592,9659,9577,9617,9617,9659,9617,9592,9659,9513,9609,9659,9577])')] ).

cnf(9828,plain,
    equal(inverse(multiply(multiply(A,inverse(B)),multiply(multiply(B,inverse(C)),inverse(D)))),multiply(multiply(D,C),inverse(A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8539]),9617,9617,9617,9513,9609,9659,9513,9609,9659,9513,9609,9513,9609,9659,9659]),
    [iquote('back_demod(8539),demod([9617,9617,9617,9513,9609,9659,9513,9609,9659,9513,9609,9513,9609,9659,9659])')] ).

cnf(9848,plain,
    equal(multiply(multiply(multiply(A,multiply(multiply(inverse(B),C),inverse(D))),multiply(multiply(D,inverse(E)),multiply(E,inverse(C)))),multiply(inverse(A),A)),multiply(A,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8458]),9617,9659,9659,9513,9617,9513,9513,9617,9577,9513,9513,9659]),
    [iquote('back_demod(8458),demod([9617,9659,9659,9513,9617,9513,9513,9617,9577,9513,9513,9659])')] ).

cnf(9861,plain,
    equal(multiply(multiply(inverse(multiply(multiply(A,multiply(inverse(B),multiply(C,inverse(D)))),multiply(D,inverse(C)))),A),multiply(multiply(D,multiply(E,inverse(F))),multiply(multiply(F,inverse(G)),multiply(G,multiply(inverse(E),inverse(D)))))),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8402]),9513,9617,9659,9617,9577,9617,9617,9513,9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617]),
    [iquote('back_demod(8402),demod([9513,9617,9659,9617,9577,9617,9617,9513,9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617])')] ).

cnf(9867,plain,
    equal(multiply(inverse(multiply(multiply(A,B),multiply(inverse(C),C))),A),inverse(B)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8375]),9513,9513,9513,9659,9617,9659,9513,9513,9513,9149,9513,9513,9513,9149]),
    [iquote('back_demod(8375),demod([9513,9513,9513,9659,9617,9659,9513,9513,9513,9149,9513,9513,9513,9149])')] ).

cnf(9876,plain,
    equal(multiply(multiply(A,inverse(B)),multiply(multiply(B,multiply(C,inverse(D))),multiply(multiply(D,inverse(E)),multiply(E,multiply(inverse(C),inverse(F)))))),multiply(A,inverse(F))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8318]),9617,9617,9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617]),
    [iquote('back_demod(8318),demod([9617,9617,9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617])')] ).

cnf(9877,plain,
    equal(multiply(multiply(multiply(A,multiply(B,inverse(C))),multiply(multiply(C,inverse(D)),multiply(D,multiply(inverse(B),inverse(E))))),multiply(inverse(A),A)),multiply(A,inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8299]),9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617,9513,9659]),
    [iquote('back_demod(8299),demod([9617,9659,9513,9609,9659,9577,9577,9617,9613,9617,9513,9617,9617,9513,9659])')] ).

cnf(9878,plain,
    equal(multiply(multiply(A,B),inverse(B)),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8295]),9664,9659,9513,9867,9659,9659]),
    [iquote('back_demod(8295),demod([9664,9659,9513,9867,9659,9659])')] ).

cnf(9883,plain,
    equal(multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(inverse(multiply(multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),multiply(inverse(C),B))),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))))))),multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9736]),9878,9577,9513,9513,9149]),
    [iquote('back_demod(9736),demod([9878,9577,9513,9513,9149])')] ).

cnf(9885,plain,
    equal(multiply(inverse(multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(multiply(inverse(multiply(B,multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))))),C),multiply(multiply(A,multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A)))),multiply(inverse(C),B))))),multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),multiply(inverse(A),A))),multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A))),multiply(inverse(multiply(multiply(inverse(B),C),multiply(inverse(A),A))),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9679]),9878,9577,9513,9513,9149]),
    [iquote('back_demod(9679),demod([9878,9577,9513,9513,9149])')] ).

cnf(9888,plain,
    equal(multiply(A,multiply(inverse(B),B)),A),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9545]),9659,9546]),1]),
    [iquote('back_demod(9545),demod([9659,9546]),flip(1)')] ).

cnf(9890,plain,
    equal(multiply(inverse(multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(multiply(inverse(multiply(B,multiply(A,multiply(inverse(A),multiply(inverse(B),C))))),C),multiply(multiply(A,multiply(inverse(A),multiply(inverse(B),C))),multiply(inverse(C),B))))),multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(multiply(inverse(C),B),A))),multiply(multiply(inverse(C),B),A)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9885]),9888,9888,9888,9888,9888,9513,9888,9513]),
    [iquote('back_demod(9885),demod([9888,9888,9888,9888,9888,9513,9888,9513])')] ).

cnf(9892,plain,
    equal(multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(inverse(multiply(multiply(A,multiply(inverse(A),multiply(inverse(B),C))),multiply(inverse(C),B))),multiply(inverse(C),multiply(B,multiply(A,multiply(inverse(A),multiply(inverse(B),C))))))),multiply(inverse(A),multiply(inverse(B),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9883]),9888,9888,9888,9888]),
    [iquote('back_demod(9883),demod([9888,9888,9888,9888])')] ).

cnf(9897,plain,
    equal(multiply(multiply(A,multiply(B,inverse(C))),multiply(multiply(C,inverse(D)),multiply(D,multiply(inverse(B),inverse(E))))),multiply(A,inverse(E))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9877]),9888]),
    [iquote('back_demod(9877),demod([9888])')] ).

cnf(9898,plain,
    equal(multiply(multiply(A,inverse(B)),multiply(B,inverse(C))),multiply(A,inverse(C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9876]),9897]),
    [iquote('back_demod(9876),demod([9897])')] ).

cnf(9909,plain,
    equal(multiply(multiply(A,multiply(multiply(inverse(B),C),inverse(D))),multiply(D,inverse(C))),multiply(A,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9848]),9898,9888]),
    [iquote('back_demod(9848),demod([9898,9888])')] ).

cnf(9927,plain,
    equal(inverse(multiply(multiply(A,inverse(B)),multiply(multiply(B,C),inverse(D)))),multiply(D,multiply(inverse(C),inverse(A)))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9779]),9898,9592]),
    [iquote('back_demod(9779),demod([9898,9592])')] ).

cnf(9928,plain,
    equal(multiply(multiply(A,B),inverse(C)),multiply(A,multiply(B,inverse(C)))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9828]),9927,9659]),1]),
    [iquote('back_demod(9828),demod([9927,9659]),flip(1)')] ).

cnf(9941,plain,
    equal(multiply(multiply(A,multiply(inverse(B),multiply(C,inverse(D)))),multiply(D,inverse(C))),multiply(A,inverse(B))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9909]),9928]),
    [iquote('back_demod(9909),demod([9928])')] ).

cnf(9943,plain,
    equal(multiply(A,multiply(B,inverse(B))),A),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9861]),9941,9617,9546,9897]),
    [iquote('back_demod(9861),demod([9941,9617,9546,9897])')] ).

cnf(9963,plain,
    equal(multiply(multiply(A,inverse(A)),multiply(inverse(B),multiply(B,multiply(multiply(A,C),D)))),multiply(A,multiply(C,D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9743]),9898,9617,9888,9943]),
    [iquote('back_demod(9743),demod([9898,9617,9888,9943])')] ).

cnf(9971,plain,
    equal(multiply(inverse(multiply(multiply(inverse(A),B),C)),inverse(A)),inverse(multiply(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9708]),9943]),
    [iquote('back_demod(9708),demod([9943])')] ).

cnf(9974,plain,
    equal(multiply(multiply(A,inverse(A)),B),B),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9667]),9943,9898,9617]),1]),
    [iquote('back_demod(9667),demod([9943,9898,9617]),flip(1)')] ).

cnf(9975,plain,
    equal(multiply(inverse(A),multiply(A,multiply(multiply(B,C),D))),multiply(B,multiply(C,D))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9963]),9974]),
    [iquote('back_demod(9963),demod([9974])')] ).

cnf(9977,plain,
    equal(multiply(inverse(multiply(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(C),multiply(inverse(B),A)),multiply(multiply(inverse(A),B),C)))),multiply(inverse(A),multiply(B,multiply(C,multiply(inverse(C),multiply(inverse(B),A)))))),multiply(inverse(C),multiply(inverse(B),A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9625]),9888,9513,9888,9888,9513,9659,9888,9974,9888]),
    [iquote('back_demod(9625),demod([9888,9513,9888,9888,9513,9659,9888,9974,9888])')] ).

cnf(9985,plain,
    equal(multiply(A,multiply(inverse(A),B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9665]),9898,9617,9974,9888]),
    [iquote('back_demod(9665),demod([9898,9617,9974,9888])')] ).

cnf(9987,plain,
    equal(inverse(multiply(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(C),multiply(inverse(B),A)),multiply(multiply(inverse(A),B),C)))),multiply(inverse(C),multiply(inverse(B),A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9977]),9985,9985,9888]),
    [iquote('back_demod(9977),demod([9985,9985,9888])')] ).

cnf(9994,plain,
    equal(multiply(multiply(inverse(A),multiply(inverse(B),C)),multiply(multiply(inverse(B),C),multiply(inverse(C),B))),multiply(inverse(A),multiply(inverse(B),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9892]),9985,9985,9985,9888,9577,9513,9513]),
    [iquote('back_demod(9892),demod([9985,9985,9985,9888,9577,9513,9513])')] ).

cnf(9995,plain,
    equal(multiply(multiply(multiply(inverse(A),B),C),multiply(multiply(inverse(C),multiply(inverse(B),A)),multiply(multiply(inverse(A),B),C))),multiply(multiply(inverse(A),B),C)),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9890]),9985,9985,9985,9149,9994,9513,9513]),
    [iquote('back_demod(9890),demod([9985,9985,9985,9149,9994,9513,9513])')] ).

cnf(9996,plain,
    equal(inverse(multiply(multiply(inverse(A),B),C)),multiply(inverse(C),multiply(inverse(B),A))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9987]),9995]),
    [iquote('back_demod(9987),demod([9995])')] ).

cnf(10000,plain,
    equal(inverse(multiply(A,B)),multiply(inverse(B),inverse(A))),
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9971]),9996,9928,9878]),1]),
    [iquote('back_demod(9971),demod([9996,9928,9878]),flip(1)')] ).

cnf(10111,plain,
    equal(multiply(multiply(A,inverse(B)),C),multiply(A,multiply(inverse(B),C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9596]),10000,10000,10000,9659,10000,9659,9659,9928,9878]),
    [iquote('back_demod(9596),demod([10000,10000,10000,9659,10000,9659,9659,9928,9878])')] ).

cnf(10220,plain,
    equal(multiply(inverse(A),multiply(A,B)),B),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8777]),9659,10000,9659,10000,9659,10000,9659,9888,9659,10111,10000,10000,10000,9659,10111,9888,10000,9659,10000,9659,10000,9659,10000,9659,9888,10000,9659,9659]),
    [iquote('back_demod(8777),demod([9659,10000,9659,10000,9659,10000,9659,9888,9659,10111,10000,10000,10000,9659,10111,9888,10000,9659,10000,9659,10000,9659,10000,9659,9888,10000,9659,9659])')] ).

cnf(10223,plain,
    equal(multiply(multiply(A,B),C),multiply(A,multiply(B,C))),
    inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9975]),10220]),
    [iquote('back_demod(9975),demod([10220])')] ).

cnf(10224,plain,
    $false,
    inference(conflict,[status(thm)],[10223,2]),
    [iquote('conflict(10223,2)')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : GRP426-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14  % Command  : tptp2X_and_run_eqp %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jun 14 07:20:36 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 4.74/5.13  ----- EQP 0.9e, May 2009 -----
% 4.74/5.13  The job began on n026.cluster.edu, Tue Jun 14 07:20:37 2022
% 4.74/5.13  The command was "./eqp09e".
% 4.74/5.13  
% 4.74/5.13  set(prolog_style_variables).
% 4.74/5.13  set(lrpo).
% 4.74/5.13  set(basic_paramod).
% 4.74/5.13  set(functional_subsume).
% 4.74/5.13  set(ordered_paramod).
% 4.74/5.13  set(prime_paramod).
% 4.74/5.13  set(para_pairs).
% 4.74/5.13  assign(pick_given_ratio,4).
% 4.74/5.13  clear(print_kept).
% 4.74/5.13  clear(print_new_demod).
% 4.74/5.13  clear(print_back_demod).
% 4.74/5.13  clear(print_given).
% 4.74/5.13  assign(max_mem,64000).
% 4.74/5.13  end_of_commands.
% 4.74/5.13  
% 4.74/5.13  Usable:
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Sos:
% 4.74/5.13  0 (wt=-1) [] multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B.
% 4.74/5.13  0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Demodulators:
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Passive:
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Starting to process input.
% 4.74/5.13  
% 4.74/5.13  ** KEPT: 1 (wt=22) [] multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B.
% 4.74/5.13  1 is a new demodulator.
% 4.74/5.13  
% 4.74/5.13  ** KEPT: 2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 4.74/5.13  ---------------- PROOF FOUND ----------------
% 4.74/5.13  % SZS status Unsatisfiable
% 4.74/5.13  
% 4.74/5.13  
% 4.74/5.13  After processing input:
% 4.74/5.13  
% 4.74/5.13  Usable:
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Sos:
% 4.74/5.13  2 (wt=11) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 4.74/5.13  1 (wt=22) [] multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B.
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Demodulators:
% 4.74/5.13  1 (wt=22) [] multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B.
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  Passive:
% 4.74/5.13  end_of_list.
% 4.74/5.13  
% 4.74/5.13  UNIT CONFLICT from 10223 and 2 at   3.67 seconds.
% 4.74/5.13  
% 4.74/5.13  ---------------- PROOF ----------------
% 4.74/5.13  % SZS output start Refutation
% See solution above
% 4.74/5.13  ------------ end of proof -------------
% 4.74/5.13  
% 4.74/5.13  
% 4.74/5.13  ------------- memory usage ------------
% 4.74/5.13  Memory dynamically allocated (tp_alloc): 47363.
% 4.74/5.13    type (bytes each)        gets      frees     in use      avail      bytes
% 4.74/5.13  sym_ent (  96)               56          0         56          0      5.2 K
% 4.74/5.13  term (  16)             1788264    1220163     568101        787  11071.1 K
% 4.74/5.13  gen_ptr (   8)          4690637     723414    3967223        533  30998.1 K
% 4.74/5.13  context ( 808)          1225736    1225734          2          9      8.7 K
% 4.74/5.13  trail (  12)             336394     336394          0         11      0.1 K
% 4.74/5.13  bt_node (  68)           196610     196606          4        151     10.3 K
% 4.74/5.13  ac_position (285432)          0          0          0          0      0.0 K
% 4.74/5.13  ac_match_pos (14044)          0          0          0          0      0.0 K
% 4.74/5.13  ac_match_free_vars_pos (4020)
% 4.74/5.13                                0          0          0          0      0.0 K
% 4.74/5.13  discrim (  12)           463622     403949      59673     174743   2747.1 K
% 4.74/5.13  flat (  40)             6644367    6644367          0        459     17.9 K
% 4.74/5.13  discrim_pos (  12)        47222      47222          0          1      0.0 K
% 4.74/5.13  fpa_head (  12)           14353          0      14353          0    168.2 K
% 4.74/5.13  fpa_tree (  28)           31904      31904          0         49      1.3 K
% 4.74/5.13  fpa_pos (  36)            12784      12784          0          1      0.0 K
% 4.74/5.13  literal (  12)            49089      38866      10223          1    119.8 K
% 4.74/5.13  clause (  24)             49089      38866      10223          1    239.6 K
% 4.74/5.13  list (  12)                2620       2511        109          4      1.3 K
% 4.74/5.13  list_pos (  20)           76696      34200      42496       1983    868.7 K
% 4.74/5.13  pair_index (   40)              2          0          2          0      0.1 K
% 4.74/5.13  
% 4.74/5.13  -------------- statistics -------------
% 4.74/5.13  Clauses input                  2
% 4.74/5.13    Usable input                   0
% 4.74/5.13    Sos input                      2
% 4.74/5.13    Demodulators input             0
% 4.74/5.13    Passive input                  0
% 4.74/5.13  
% 4.74/5.13  Processed BS (before search)   2
% 4.74/5.13  Forward subsumed BS            0
% 4.74/5.13  Kept BS                        2
% 4.74/5.13  New demodulators BS            1
% 4.74/5.13  Back demodulated BS            0
% 4.74/5.13  
% 4.74/5.13  Clauses or pairs given     13003
% 4.74/5.13  Clauses generated          24843
% 4.74/5.13  Forward subsumed           14622
% 4.74/5.13  Deleted by weight              0
% 4.74/5.13  Deleted by variable count      0
% 4.74/5.13  Kept                       10221
% 4.74/5.13  New demodulators            2560
% 4.74/5.13  Back demodulated            7873
% 4.74/5.13  Ordered paramod prunes         0
% 4.74/5.13  Basic paramod prunes      137983
% 4.74/5.13  Prime paramod prunes         105
% 4.74/5.13  Semantic prunes                0
% 4.74/5.13  
% 4.74/5.13  Rewrite attmepts          960122
% 4.74/5.13  Rewrites                   34406
% 4.74/5.13  
% 4.74/5.13  FPA overloads                  0
% 4.74/5.13  FPA underloads                 0
% 4.74/5.13  
% 4.74/5.13  Usable size                    0
% 4.74/5.13  Sos size                    2349
% 4.74/5.13  Demodulators size            357
% 4.74/5.13  Passive size                   0
% 4.74/5.13  Disabled size               7873
% 4.74/5.13  
% 4.74/5.13  Proofs found                   1
% 4.74/5.13  
% 4.74/5.13  ----------- times (seconds) ----------- Tue Jun 14 07:20:41 2022
% 4.74/5.13  
% 4.74/5.13  user CPU time             3.68   (0 hr, 0 min, 3 sec)
% 4.74/5.13  system CPU time           0.31   (0 hr, 0 min, 0 sec)
% 4.74/5.13  wall-clock time           4      (0 hr, 0 min, 4 sec)
% 4.74/5.13  input time                0.00
% 4.74/5.13  paramodulation time       0.10
% 4.74/5.13  demodulation time         0.24
% 4.74/5.13  orient time               0.07
% 4.74/5.13  weigh time                0.02
% 4.74/5.13  forward subsume time      0.06
% 4.74/5.13  back demod find time      1.44
% 4.74/5.13  conflict time             0.01
% 4.74/5.13  LRPO time                 0.04
% 4.74/5.13  store clause time         1.05
% 4.74/5.13  disable clause time       0.52
% 4.74/5.13  prime paramod time        0.03
% 4.74/5.13  semantics time            0.00
% 4.74/5.13  
% 4.74/5.14  EQP interrupted
%------------------------------------------------------------------------------