%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GRP052-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 11:45:01 EDT 2022

% Result   : Unsatisfiable 28.27s 28.49s
% Output   : Refutation 28.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  283 ( 278 unt;   0 nHn; 283 RR)
%            Number of literals    :  291 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   24 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v))),w),
    file('GRP052-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
    | ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)))
    | ~ equal(multiply(multiply(inverse(b2),b2),a2),a2) ),
    file('GRP052-1.p',unknown),
    [] ).

cnf(3,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)))),x),
    inference(spr,[status(thm),theory(equality)],[1]),
    [iquote('0:SpR:1.0,1.0')] ).

cnf(5,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),w))),x))),
    inference(spr,[status(thm),theory(equality)],[1]),
    [iquote('0:SpR:1.0,1.0')] ).

cnf(7,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),inverse(x)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(z))),w))),z))),inverse(y))),x))),y))),
    inference(spr,[status(thm),theory(equality)],[5]),
    [iquote('0:SpR:5.0,5.0')] ).

cnf(24,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)))),w),
    inference(spr,[status(thm),theory(equality)],[5,1]),
    [iquote('0:SpR:5.0,1.0')] ).

cnf(26,plain,
    equal(multiply(u,multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(z))),inverse(y))),multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(z))),x)))),y))),
    inference(spr,[status(thm),theory(equality)],[5]),
    [iquote('0:SpR:5.0,5.0')] ).

cnf(29,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(w),w),inverse(x))),y))),x)))),u)),multiply(v,inverse(multiply(y,w)))),
    inference(spr,[status(thm),theory(equality)],[1,5]),
    [iquote('0:SpR:1.0,5.0')] ).

cnf(30,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(x)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(w),inverse(y))),x))),y))),
    inference(spr,[status(thm),theory(equality)],[1,5]),
    [iquote('0:SpR:1.0,5.0')] ).

cnf(31,plain,
    equal(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),x))),u)),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),x))),u)),inverse(multiply(inverse(x),y))),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),x))),u))),multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(y)),w)))),
    inference(spr,[status(thm),theory(equality)],[1,5]),
    [iquote('0:SpR:1.0,5.0')] ).

cnf(32,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),inverse(w))),y))),w)))),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(y)),x))),
    inference(spr,[status(thm),theory(equality)],[1,5]),
    [iquote('0:SpR:1.0,5.0')] ).

cnf(39,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,v)))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(x))),w))),x)),
    inference(spr,[status(thm),theory(equality)],[1,24]),
    [iquote('0:SpR:1.0,24.0')] ).

cnf(47,plain,
    equal(multiply(inverse(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),x))),u))),multiply(v,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)),multiply(multiply(multiply(inverse(w),w),inverse(x)),w)),inverse(y)),multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),y),
    inference(spr,[status(thm),theory(equality)],[5,24]),
    [iquote('0:SpR:5.0,24.0')] ).

cnf(53,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(v,inverse(w))),x))),w)))),inverse(u))),multiply(inverse(x),y)))),u)),y),
    inference(spr,[status(thm),theory(equality)],[3,5]),
    [iquote('0:SpR:3.0,5.0')] ).

cnf(62,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,v)))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(x))),y))),x)),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(x))),y))),x)),inverse(multiply(inverse(y),w))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(x))),y))),x))),
    inference(spr,[status(thm),theory(equality)],[3,24]),
    [iquote('0:SpR:3.0,24.0')] ).

cnf(75,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(inverse(w),inverse(y))),inverse(x))),z))),x)))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(z)),y))),
    inference(spr,[status(thm),theory(equality)],[5,3]),
    [iquote('0:SpR:5.0,3.0')] ).

cnf(88,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v))),inverse(multiply(inverse(x),y))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v))))),y),
    inference(spr,[status(thm),theory(equality)],[1,3]),
    [iquote('0:SpR:1.0,3.0')] ).

cnf(99,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(v),inverse(u))),multiply(inverse(v),w)))),u)),w),
    inference(rew,[status(thm),theory(equality)],[1,53]),
    [iquote('0:Rew:1.0,53.0')] ).

cnf(107,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(v,w)))),u)),w),
    inference(spr,[status(thm),theory(equality)],[99]),
    [iquote('0:SpR:99.0,99.0')] ).

cnf(151,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,w)),multiply(inverse(multiply(x,inverse(v))),multiply(x,w))),
    inference(spr,[status(thm),theory(equality)],[107,24]),
    [iquote('0:SpR:107.0,24.0')] ).

cnf(211,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(multiply(x,v)),multiply(x,w))),
    inference(spr,[status(thm),theory(equality)],[107,151]),
    [iquote('0:SpR:107.0,151.0')] ).

cnf(223,plain,
    equal(multiply(inverse(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(w,inverse(v))),x))),v)))),multiply(u,y)),multiply(inverse(x),multiply(w,y))),
    inference(spr,[status(thm),theory(equality)],[1,151]),
    [iquote('0:SpR:1.0,151.0')] ).

cnf(263,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(v,w)),multiply(v,w)),inverse(multiply(inverse(x),y))),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(u,inverse(w))),x))),w)))),y),
    inference(spr,[status(thm),theory(equality)],[211,3]),
    [iquote('0:SpR:211.0,3.0')] ).

cnf(275,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(multiply(x,v)),multiply(x,y))),multiply(inverse(multiply(z,w)),multiply(z,multiply(u,y)))),
    inference(spr,[status(thm),theory(equality)],[211]),
    [iquote('0:SpR:211.0,211.0')] ).

cnf(277,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(multiply(x,v)),y)),multiply(inverse(multiply(z,multiply(x,w))),multiply(z,y))),
    inference(spr,[status(thm),theory(equality)],[211]),
    [iquote('0:SpR:211.0,211.0')] ).

cnf(288,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),y))),w)))),multiply(inverse(multiply(x,v)),y)),
    inference(spr,[status(thm),theory(equality)],[1,211]),
    [iquote('0:SpR:1.0,211.0')] ).

cnf(289,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)))),multiply(inverse(multiply(y,v)),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(y,inverse(w))),inverse(z))),x))),z)))),
    inference(spr,[status(thm),theory(equality)],[5,211]),
    [iquote('0:SpR:5.0,211.0')] ).

cnf(291,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,inverse(multiply(multiply(multiply(inverse(x),x),inverse(y)),x))))),multiply(inverse(multiply(inverse(multiply(w,inverse(x))),v)),y)),
    inference(spr,[status(thm),theory(equality)],[24,211]),
    [iquote('0:SpR:24.0,211.0')] ).

cnf(295,plain,
    equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),multiply(u,y)),multiply(inverse(x),multiply(inverse(multiply(v,inverse(w))),y))),
    inference(spr,[status(thm),theory(equality)],[24,211]),
    [iquote('0:SpR:24.0,211.0')] ).

cnf(297,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(x,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(y,inverse(v))),multiply(y,x)))),w))),
    inference(spr,[status(thm),theory(equality)],[107,211]),
    [iquote('0:SpR:107.0,211.0')] ).

cnf(383,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x)),multiply(inverse(multiply(y,multiply(z,w))),multiply(y,x1))),multiply(inverse(multiply(x2,x)),multiply(x2,multiply(inverse(multiply(z,v)),x1)))),
    inference(spr,[status(thm),theory(equality)],[277,211]),
    [iquote('0:SpR:277.0,211.0')] ).

cnf(387,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),x))),multiply(u,y))),multiply(inverse(multiply(inverse(multiply(z,multiply(v,x1))),multiply(z,x))),x2)),multiply(inverse(multiply(x3,multiply(inverse(multiply(inverse(multiply(x4,w)),multiply(x4,x1))),y))),multiply(x3,x2))),
    inference(spr,[status(thm),theory(equality)],[277]),
    [iquote('0:SpR:277.0,277.0')] ).

cnf(423,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(x,y)),multiply(inverse(multiply(z,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(x1,inverse(v))),multiply(x1,x)))),w))),multiply(z,y))),
    inference(spr,[status(thm),theory(equality)],[107,277]),
    [iquote('0:SpR:107.0,277.0')] ).

cnf(425,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x),multiply(inverse(multiply(y,multiply(z,w))),multiply(y,inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(multiply(inverse(multiply(inverse(multiply(z,v)),inverse(x1))),x))),x1))))),
    inference(spr,[status(thm),theory(equality)],[1,277]),
    [iquote('0:SpR:1.0,277.0')] ).

cnf(466,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x),multiply(inverse(multiply(inverse(multiply(y,v)),multiply(y,w))),x)),
    inference(rew,[status(thm),theory(equality)],[288,425]),
    [iquote('0:Rew:288.0,425.0')] ).

cnf(516,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(y)),x))),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x1,v)),multiply(x1,w))),inverse(x))),inverse(z))),y))),z))),
    inference(spr,[status(thm),theory(equality)],[466,5]),
    [iquote('0:SpR:466.0,5.0')] ).

cnf(618,plain,
    equal(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,x))),multiply(inverse(multiply(y,multiply(z,w))),multiply(y,multiply(z,x)))),
    inference(spr,[status(thm),theory(equality)],[275,277]),
    [iquote('0:SpR:275.0,277.0')] ).

cnf(642,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x)))),multiply(u,y))),multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,multiply(x2,x)))),x3)),multiply(inverse(multiply(x4,multiply(inverse(multiply(inverse(multiply(x2,w)),x1)),y))),multiply(x4,x3))),
    inference(spr,[status(thm),theory(equality)],[275,277]),
    [iquote('0:SpR:275.0,277.0')] ).

cnf(643,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x)))),y)),multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,multiply(x2,x)))),multiply(inverse(multiply(inverse(multiply(x2,w)),x1)),x3))),multiply(inverse(multiply(x4,y)),multiply(x4,multiply(u,x3)))),
    inference(spr,[status(thm),theory(equality)],[275]),
    [iquote('0:SpR:275.0,275.0')] ).

cnf(740,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(inverse(multiply(w,x)),multiply(w,y))),multiply(inverse(multiply(z,v)),multiply(z,multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(x1,inverse(x))),multiply(x1,u)))),y)))),
    inference(spr,[status(thm),theory(equality)],[107,275]),
    [iquote('0:SpR:107.0,275.0')] ).

cnf(742,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,w)),multiply(v,x))),multiply(inverse(multiply(y,inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(x1,w)),inverse(z))),u))),z)))),multiply(y,multiply(x1,x)))),
    inference(spr,[status(thm),theory(equality)],[1,275]),
    [iquote('0:SpR:1.0,275.0')] ).

cnf(784,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,w)),multiply(v,x))),multiply(inverse(u),multiply(inverse(multiply(y,w)),multiply(y,x)))),
    inference(rew,[status(thm),theory(equality)],[223,742]),
    [iquote('0:Rew:223.0,742.0')] ).

cnf(850,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(w),w),inverse(x))),multiply(inverse(multiply(y,z)),multiply(y,x1))))),x)))),u)),multiply(v,inverse(multiply(multiply(inverse(multiply(x2,z)),multiply(x2,x1)),w)))),
    inference(spr,[status(thm),theory(equality)],[784,29]),
    [iquote('0:SpR:784.0,29.0')] ).

cnf(975,plain,
    equal(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x))),multiply(u,multiply(inverse(multiply(y,w)),multiply(y,x)))),
    inference(spr,[status(thm),theory(equality)],[107,784]),
    [iquote('0:SpR:107.0,784.0')] ).

cnf(991,plain,
    equal(multiply(u,inverse(multiply(multiply(inverse(multiply(v,w)),multiply(v,x)),y))),multiply(u,inverse(multiply(multiply(inverse(multiply(z,w)),multiply(z,x)),y)))),
    inference(rew,[status(thm),theory(equality)],[29,850]),
    [iquote('0:Rew:29.0,850.0')] ).

cnf(1148,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(x,inverse(multiply(multiply(multiply(inverse(y),y),inverse(z)),y)))),inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(x2,v)),multiply(x2,w))),inverse(x3))),inverse(x1))),multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(x3))),z)))),x1))),
    inference(spr,[status(thm),theory(equality)],[466,26]),
    [iquote('0:SpR:466.0,26.0')] ).

cnf(1511,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,multiply(w,x)))),multiply(u,y))),multiply(inverse(multiply(inverse(multiply(z,multiply(x1,x2))),multiply(z,multiply(x1,x)))),x3)),multiply(inverse(multiply(x4,multiply(inverse(multiply(v,multiply(w,x2))),y))),multiply(x4,x3))),
    inference(spr,[status(thm),theory(equality)],[618,277]),
    [iquote('0:SpR:618.0,277.0')] ).

cnf(1513,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,x)))),multiply(inverse(multiply(y,multiply(z,w))),x1)),multiply(inverse(multiply(x2,multiply(y,multiply(z,x)))),multiply(x2,x1))),
    inference(spr,[status(thm),theory(equality)],[618,211]),
    [iquote('0:SpR:618.0,211.0')] ).

cnf(1516,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,x)))),y)),multiply(inverse(multiply(z,multiply(x1,multiply(x2,x)))),multiply(z,x3))),multiply(inverse(multiply(x4,y)),multiply(x4,multiply(inverse(multiply(x1,multiply(x2,w))),x3)))),
    inference(spr,[status(thm),theory(equality)],[618,275]),
    [iquote('0:SpR:618.0,275.0')] ).

cnf(1748,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(multiply(inverse(multiply(w,x)),multiply(w,y)),z))),v)))),multiply(multiply(inverse(multiply(x1,x)),multiply(x1,y)),z)),
    inference(spr,[status(thm),theory(equality)],[991,24]),
    [iquote('0:SpR:991.0,24.0')] ).

cnf(1750,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(v,inverse(multiply(multiply(inverse(multiply(w,x)),multiply(w,y)),z)))))),u)),inverse(multiply(multiply(inverse(multiply(x1,x)),multiply(x1,y)),z))),
    inference(spr,[status(thm),theory(equality)],[991,107]),
    [iquote('0:SpR:991.0,107.0')] ).

cnf(1887,plain,
    equal(multiply(multiply(inverse(multiply(u,v)),multiply(u,w)),x),multiply(multiply(inverse(multiply(y,v)),multiply(y,w)),x)),
    inference(rew,[status(thm),theory(equality)],[24,1748]),
    [iquote('0:Rew:24.0,1748.0')] ).

cnf(1897,plain,
    equal(inverse(multiply(multiply(inverse(multiply(u,v)),multiply(u,w)),x)),inverse(multiply(multiply(inverse(multiply(y,v)),multiply(y,w)),x))),
    inference(rew,[status(thm),theory(equality)],[107,1750]),
    [iquote('0:Rew:107.0,1750.0')] ).

cnf(2168,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)),v)))),multiply(multiply(multiply(inverse(y),y),inverse(inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(y))),inverse(w))),inverse(z))),x))),z)))),y)),
    inference(spr,[status(thm),theory(equality)],[32,24]),
    [iquote('0:SpR:32.0,24.0')] ).

cnf(2232,plain,
    equal(multiply(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),inverse(w))),y))),w)))),v))),multiply(multiply(multiply(inverse(x),x),inverse(y)),z)),multiply(inverse(multiply(x1,x)),multiply(x1,z))),
    inference(spr,[status(thm),theory(equality)],[32,211]),
    [iquote('0:SpR:32.0,211.0')] ).

cnf(2741,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,w)),multiply(v,w)))),u)),multiply(x,inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(x,inverse(y))),inverse(u)))),y)))),
    inference(spr,[status(thm),theory(equality)],[297,29]),
    [iquote('0:SpR:297.0,29.0')] ).

cnf(2745,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(inverse(multiply(w,x)),multiply(w,y))))),u)),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(z,inverse(x))),multiply(z,v)))),y)),
    inference(spr,[status(thm),theory(equality)],[297,107]),
    [iquote('0:SpR:297.0,107.0')] ).

cnf(2894,plain,
    equal(multiply(inverse(multiply(u,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(w,inverse(v))),multiply(w,x)))),v))),multiply(u,y)),multiply(z,multiply(multiply(multiply(x,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(w,inverse(v))),multiply(w,x)))),v)),inverse(multiply(inverse(multiply(x1,x)),multiply(x1,z)))),y))),
    inference(spr,[status(thm),theory(equality)],[107,297]),
    [iquote('0:SpR:107.0,297.0')] ).

cnf(2918,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(multiply(multiply(inverse(w),w),inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(y,inverse(v))),multiply(y,z)))),inverse(w))),inverse(x1))),inverse(x))),x2))),x)))),w)))),multiply(z,inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(x2)),x1)))),
    inference(spr,[status(thm),theory(equality)],[32,297]),
    [iquote('0:SpR:32.0,297.0')] ).

cnf(2923,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,w)),multiply(v,w)))),u)),inverse(u)),
    inference(rew,[status(thm),theory(equality)],[1,2741]),
    [iquote('0:Rew:1.0,2741.0')] ).

cnf(2986,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),u)),inverse(u)),
    inference(spr,[status(thm),theory(equality)],[1,2923]),
    [iquote('0:SpR:1.0,2923.0')] ).

cnf(3105,plain,
    equal(multiply(multiply(multiply(inverse(inverse(u)),inverse(u)),inverse(multiply(inverse(v),v))),inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(u)),w))),u))),w),
    inference(spr,[status(thm),theory(equality)],[2986,1]),
    [iquote('0:SpR:2986.0,1.0')] ).

cnf(3117,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(v))),multiply(inverse(w),w)),
    inference(spr,[status(thm),theory(equality)],[2986,24]),
    [iquote('0:SpR:2986.0,24.0')] ).

cnf(3145,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)))),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(x),x))),w)),
    inference(spr,[status(thm),theory(equality)],[2986,24]),
    [iquote('0:SpR:2986.0,24.0')] ).

cnf(3203,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),u),u),
    inference(rew,[status(thm),theory(equality)],[24,3145]),
    [iquote('0:Rew:24.0,3145.0')] ).

cnf(3475,plain,
    equal(multiply(inverse(multiply(multiply(multiply(inverse(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),u))),inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),u))),inverse(multiply(inverse(w),w))),inverse(u))),inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),u))),v),
    inference(spr,[status(thm),theory(equality)],[3203,24]),
    [iquote('0:SpR:3203.0,24.0')] ).

cnf(3506,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,v)),multiply(inverse(v),v)),
    inference(spr,[status(thm),theory(equality)],[3203,297]),
    [iquote('0:SpR:3203.0,297.0')] ).

cnf(3530,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(x,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(y),y))),inverse(v))),x))),w))),
    inference(spr,[status(thm),theory(equality)],[3203,297]),
    [iquote('0:SpR:3203.0,297.0')] ).

cnf(3664,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)))),x),
    inference(rew,[status(thm),theory(equality)],[3506,263]),
    [iquote('0:Rew:3506.0,263.0')] ).

cnf(3693,plain,
    equal(multiply(inverse(inverse(u)),inverse(u)),multiply(inverse(v),v)),
    inference(rew,[status(thm),theory(equality)],[3506,3117]),
    [iquote('0:Rew:3506.0,3117.0')] ).

cnf(3710,plain,
    equal(multiply(inverse(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),x))),u))),multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(y)),multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),y),
    inference(rew,[status(thm),theory(equality)],[3506,47]),
    [iquote('0:Rew:3506.0,47.0')] ).

cnf(3720,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(x),y))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v))))),y),
    inference(rew,[status(thm),theory(equality)],[3506,88]),
    [iquote('0:Rew:3506.0,88.0')] ).

cnf(3723,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(w,v)))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(y),w))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(x))),y))),x))),
    inference(rew,[status(thm),theory(equality)],[3506,62]),
    [iquote('0:Rew:3506.0,62.0')] ).

cnf(3730,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(u))),v))),u))),multiply(x,inverse(multiply(multiply(multiply(inverse(y),y),inverse(w)),y)))),
    inference(rew,[status(thm),theory(equality)],[3506,31]),
    [iquote('0:Rew:3506.0,31.0')] ).

cnf(3739,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(z))),x))),z))),inverse(y))),w))),y))),
    inference(rew,[status(thm),theory(equality)],[3506,7]),
    [iquote('0:Rew:3506.0,7.0')] ).

cnf(3743,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),x))),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(x),inverse(y))),w))),y))),
    inference(rew,[status(thm),theory(equality)],[3506,30]),
    [iquote('0:Rew:3506.0,30.0')] ).

cnf(3744,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(inverse(multiply(inverse(x),inverse(y))),inverse(w))),z))),w)))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),x))),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(z)),y))),
    inference(rew,[status(thm),theory(equality)],[3506,75]),
    [iquote('0:Rew:3506.0,75.0')] ).

cnf(3820,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(y),w))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),y))),v))))),x),
    inference(rew,[status(thm),theory(equality)],[3506,3720]),
    [iquote('0:Rew:3506.0,3720.0')] ).

cnf(3828,plain,
    equal(multiply(inverse(multiply(inverse(u),u)),multiply(inverse(inverse(v)),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)))),w),
    inference(spr,[status(thm),theory(equality)],[3693,24]),
    [iquote('0:SpR:3693.0,24.0')] ).

cnf(3851,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),inverse(w)),inverse(w)),
    inference(spr,[status(thm),theory(equality)],[3693,3203]),
    [iquote('0:SpR:3693.0,3203.0')] ).

cnf(3853,plain,
    equal(multiply(inverse(u),u),multiply(inverse(v),v)),
    inference(spr,[status(thm),theory(equality)],[3693]),
    [iquote('0:SpR:3693.0,3693.0')] ).

cnf(3919,plain,
    equal(multiply(multiply(inverse(inverse(u)),inverse(u)),v),multiply(multiply(inverse(multiply(w,x)),multiply(w,x)),v)),
    inference(spr,[status(thm),theory(equality)],[3693,1887]),
    [iquote('0:SpR:3693.0,1887.0')] ).

cnf(3924,plain,
    equal(inverse(multiply(multiply(inverse(multiply(u,v)),multiply(u,v)),w)),inverse(multiply(multiply(inverse(inverse(x)),inverse(x)),w))),
    inference(spr,[status(thm),theory(equality)],[3693,1897]),
    [iquote('0:SpR:3693.0,1897.0')] ).

cnf(3930,plain,
    equal(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,w))),multiply(u,multiply(inverse(inverse(x)),inverse(x)))),
    inference(spr,[status(thm),theory(equality)],[3693,975]),
    [iquote('0:SpR:3693.0,975.0')] ).

cnf(3938,plain,
    equal(multiply(inverse(multiply(u,inverse(v))),multiply(u,inverse(multiply(multiply(multiply(inverse(inverse(w)),inverse(w)),inverse(x)),v)))),x),
    inference(spr,[status(thm),theory(equality)],[3693,24]),
    [iquote('0:SpR:3693.0,24.0')] ).

cnf(3975,plain,
    equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(u))),multiply(inverse(v),w)),multiply(inverse(multiply(x,v)),multiply(x,w))),
    inference(spr,[status(thm),theory(equality)],[3693,211]),
    [iquote('0:SpR:3693.0,211.0')] ).

cnf(4031,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),u))),v),
    inference(rew,[status(thm),theory(equality)],[3851,3475]),
    [iquote('0:Rew:3851.0,3475.0')] ).

cnf(4035,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(u)),v))),u)),v),
    inference(rew,[status(thm),theory(equality)],[3851,3105]),
    [iquote('0:Rew:3851.0,3105.0')] ).

cnf(4039,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(x,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),x))),w))),
    inference(rew,[status(thm),theory(equality)],[3851,3530]),
    [iquote('0:Rew:3851.0,3530.0')] ).

cnf(4045,plain,
    equal(multiply(inverse(multiply(inverse(u),u)),v),v),
    inference(rew,[status(thm),theory(equality)],[4031,3828]),
    [iquote('0:Rew:4031.0,3828.0')] ).

cnf(4048,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,w)),multiply(inverse(v),w)),
    inference(rew,[status(thm),theory(equality)],[4045,3975]),
    [iquote('0:Rew:4045.0,3975.0')] ).

cnf(4055,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(multiply(x,v)),y)),multiply(inverse(multiply(x,w)),y)),
    inference(rew,[status(thm),theory(equality)],[4048,277]),
    [iquote('0:Rew:4048.0,277.0')] ).

cnf(4080,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,inverse(multiply(multiply(multiply(inverse(w),w),inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),y))),inverse(w))),inverse(z))),inverse(x))),x1))),x)))),w)))),multiply(y,inverse(multiply(multiply(multiply(inverse(z),z),inverse(x1)),z)))),
    inference(rew,[status(thm),theory(equality)],[4048,2918]),
    [iquote('0:Rew:4048.0,2918.0')] ).

cnf(4251,plain,
    equal(multiply(inverse(multiply(u,v)),multiply(u,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),multiply(x,y)))),z))),multiply(inverse(multiply(y,v)),multiply(inverse(w),z))),
    inference(rew,[status(thm),theory(equality)],[4048,740]),
    [iquote('0:Rew:4048.0,740.0')] ).

cnf(4268,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(inverse(w),x)))),u)),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(y,inverse(w))),multiply(y,v)))),x)),
    inference(rew,[status(thm),theory(equality)],[4048,2745]),
    [iquote('0:Rew:4048.0,2745.0')] ).

cnf(4316,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(x,y)),multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(z,inverse(v))),multiply(z,x)))),w)),y)),
    inference(rew,[status(thm),theory(equality)],[4048,423]),
    [iquote('0:Rew:4048.0,423.0')] ).

cnf(4318,plain,
    equal(multiply(u,multiply(multiply(multiply(v,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),multiply(x,v)))),w)),inverse(multiply(inverse(multiply(y,v)),multiply(y,u)))),z)),multiply(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),multiply(x,v)))),w)),z)),
    inference(rew,[status(thm),theory(equality)],[4048,2894]),
    [iquote('0:Rew:4048.0,2894.0')] ).

cnf(4320,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x)),multiply(inverse(multiply(inverse(multiply(y,z)),multiply(y,multiply(x1,w)))),x2)),multiply(inverse(multiply(x3,multiply(inverse(multiply(inverse(multiply(x1,v)),z)),x))),multiply(x3,x2))),
    inference(rew,[status(thm),theory(equality)],[4048,642]),
    [iquote('0:Rew:4048.0,642.0')] ).

cnf(4324,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),x)),multiply(inverse(multiply(inverse(multiply(y,multiply(u,z))),multiply(y,w))),x1)),multiply(inverse(multiply(x2,multiply(inverse(multiply(inverse(multiply(x3,v)),multiply(x3,z))),x))),multiply(x2,x1))),
    inference(rew,[status(thm),theory(equality)],[4048,387]),
    [iquote('0:Rew:4048.0,387.0')] ).

cnf(4331,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(inverse(multiply(y,multiply(z,x1))),multiply(y,multiply(z,w)))),x2)),multiply(inverse(multiply(x3,multiply(inverse(multiply(u,multiply(v,x1))),x))),multiply(x3,x2))),
    inference(rew,[status(thm),theory(equality)],[4048,1511]),
    [iquote('0:Rew:4048.0,1511.0')] ).

cnf(4336,plain,
    equal(multiply(inverse(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)))),x),multiply(inverse(w),multiply(inverse(multiply(u,inverse(v))),x))),
    inference(rew,[status(thm),theory(equality)],[4048,295]),
    [iquote('0:Rew:4048.0,295.0')] ).

cnf(4352,plain,
    equal(multiply(inverse(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),w))),u))),x),multiply(inverse(w),multiply(v,x))),
    inference(rew,[status(thm),theory(equality)],[4048,223]),
    [iquote('0:Rew:4048.0,223.0')] ).

cnf(4353,plain,
    equal(multiply(multiply(inverse(inverse(u)),inverse(u)),v),multiply(multiply(inverse(w),w),v)),
    inference(rew,[status(thm),theory(equality)],[4048,3919]),
    [iquote('0:Rew:4048.0,3919.0')] ).

cnf(4401,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(v),w))),x)),multiply(inverse(multiply(inverse(multiply(y,z)),multiply(y,multiply(x1,w)))),multiply(inverse(multiply(inverse(multiply(x1,v)),z)),x2))),multiply(inverse(multiply(x3,x)),multiply(x3,multiply(u,x2)))),
    inference(rew,[status(thm),theory(equality)],[4048,643]),
    [iquote('0:Rew:4048.0,643.0')] ).

cnf(4463,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,multiply(v,x)))),y)),multiply(inverse(multiply(z,multiply(x1,x))),x2)),multiply(inverse(multiply(x3,y)),multiply(x3,multiply(inverse(multiply(z,multiply(x1,w))),x2)))),
    inference(rew,[status(thm),theory(equality)],[4048,1516]),
    [iquote('0:Rew:4048.0,1516.0')] ).

cnf(4498,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(multiply(x,multiply(y,v))),z)),multiply(inverse(multiply(x1,multiply(x,multiply(y,w)))),multiply(x1,z))),
    inference(rew,[status(thm),theory(equality)],[4048,1513]),
    [iquote('0:Rew:4048.0,1513.0')] ).

cnf(4635,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(inverse(w)),inverse(w)))),
    inference(rew,[status(thm),theory(equality)],[4048,3930]),
    [iquote('0:Rew:4048.0,3930.0')] ).

cnf(4642,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(x,inverse(multiply(multiply(multiply(inverse(y),y),inverse(z)),y)))),inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),w)),inverse(x2))),inverse(x1))),multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(x2))),z)))),x1))),
    inference(rew,[status(thm),theory(equality)],[4048,1148]),
    [iquote('0:Rew:4048.0,1148.0')] ).

cnf(4648,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(y)),x))),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(v),w)),inverse(x))),inverse(z))),y))),z))),
    inference(rew,[status(thm),theory(equality)],[4048,516]),
    [iquote('0:Rew:4048.0,516.0')] ).

cnf(4679,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),x)),multiply(inverse(multiply(y,w)),z)),multiply(inverse(multiply(x1,x)),multiply(x1,multiply(inverse(multiply(y,v)),z)))),
    inference(rew,[status(thm),theory(equality)],[4048,383]),
    [iquote('0:Rew:4048.0,383.0')] ).

cnf(4692,plain,
    equal(multiply(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),inverse(w))),y))),w)))),v))),multiply(multiply(multiply(inverse(x),x),inverse(y)),z)),multiply(inverse(x),z)),
    inference(rew,[status(thm),theory(equality)],[4048,2232]),
    [iquote('0:Rew:4048.0,2232.0')] ).

cnf(4706,plain,
    equal(inverse(multiply(multiply(inverse(u),u),v)),inverse(multiply(multiply(inverse(inverse(w)),inverse(w)),v))),
    inference(rew,[status(thm),theory(equality)],[4048,3924]),
    [iquote('0:Rew:4048.0,3924.0')] ).

cnf(4707,plain,
    equal(multiply(inverse(u),multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)))),multiply(inverse(multiply(inverse(multiply(v,inverse(w))),u)),x)),
    inference(rew,[status(thm),theory(equality)],[4048,291]),
    [iquote('0:Rew:4048.0,291.0')] ).

cnf(4749,plain,
    equal(multiply(inverse(u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),multiply(inverse(multiply(x,u)),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(v))),inverse(y))),w))),y)))),
    inference(rew,[status(thm),theory(equality)],[4048,289]),
    [iquote('0:Rew:4048.0,289.0')] ).

cnf(4756,plain,
    equal(multiply(inverse(u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(w,inverse(v))),x))),v))),multiply(inverse(multiply(w,u)),x)),
    inference(rew,[status(thm),theory(equality)],[4048,288]),
    [iquote('0:Rew:4048.0,288.0')] ).

cnf(4759,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(inverse(v)),inverse(v)),inverse(w)),u))),w),
    inference(rew,[status(thm),theory(equality)],[4048,3938]),
    [iquote('0:Rew:4048.0,3938.0')] ).

cnf(4764,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),u))),multiply(multiply(multiply(inverse(x),x),inverse(inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(u),u),inverse(x))),inverse(v))),inverse(y))),w))),y)))),x)),
    inference(rew,[status(thm),theory(equality)],[4048,2168]),
    [iquote('0:Rew:4048.0,2168.0')] ).

cnf(4813,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(u))),w))),u),multiply(inverse(inverse(v)),inverse(multiply(w,v)))),
    inference(rew,[status(thm),theory(equality)],[4048,39]),
    [iquote('0:Rew:4048.0,39.0')] ).

cnf(4814,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(multiply(inverse(x),x),inverse(u))),v))),u)),multiply(inverse(inverse(x)),inverse(multiply(w,x)))),
    inference(rew,[status(thm),theory(equality)],[4048,3723]),
    [iquote('0:Rew:4048.0,3723.0')] ).

cnf(4826,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(multiply(w,u)),x)),multiply(inverse(multiply(w,v)),x)),
    inference(rew,[status(thm),theory(equality)],[4048,4055]),
    [iquote('0:Rew:4048.0,4055.0')] ).

cnf(4833,plain,
    equal(multiply(u,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),u))),w)),multiply(inverse(v),w)),
    inference(rew,[status(thm),theory(equality)],[4048,4039]),
    [iquote('0:Rew:4048.0,4039.0')] ).

cnf(4890,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(v))),inverse(y)))),w))),y))),
    inference(rew,[status(thm),theory(equality)],[4352,3739]),
    [iquote('0:Rew:4352.0,3739.0')] ).

cnf(4902,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,inverse(w))),multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),multiply(multiply(multiply(inverse(w),w),inverse(u)),w)))))),x),
    inference(rew,[status(thm),theory(equality)],[4352,3710]),
    [iquote('0:Rew:4352.0,3710.0')] ).

cnf(5116,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(multiply(w,multiply(x,u))),y)),multiply(inverse(multiply(w,multiply(x,v))),y)),
    inference(rew,[status(thm),theory(equality)],[4048,4498]),
    [iquote('0:Rew:4048.0,4498.0,4048.0,4498.0')] ).

cnf(5120,plain,
    equal(multiply(inverse(u),multiply(inverse(inverse(v)),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(u)),v))))),w),
    inference(rew,[status(thm),theory(equality)],[4048,4902]),
    [iquote('0:Rew:4048.0,4902.0')] ).

cnf(5198,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),w)),multiply(inverse(multiply(x,v)),y)),multiply(inverse(w),multiply(inverse(multiply(x,u)),y))),
    inference(rew,[status(thm),theory(equality)],[4048,4679]),
    [iquote('0:Rew:4048.0,4679.0,4048.0,4679.0')] ).

cnf(5210,plain,
    equal(multiply(inverse(u),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),w))),x)),multiply(inverse(multiply(w,u)),multiply(inverse(v),x))),
    inference(rew,[status(thm),theory(equality)],[4048,4251]),
    [iquote('0:Rew:4048.0,4251.0,4048.0,4251.0')] ).

cnf(5213,plain,
    equal(multiply(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(u)),v))),w)),x),multiply(inverse(multiply(inverse(u),w)),multiply(v,x))),
    inference(rew,[status(thm),theory(equality)],[4048,4316]),
    [iquote('0:Rew:4048.0,4316.0,4048.0,4316.0')] ).

cnf(5287,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(inverse(w),x)))),u)),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),v))),x)),
    inference(rew,[status(thm),theory(equality)],[4048,4268]),
    [iquote('0:Rew:4048.0,4268.0')] ).

cnf(5356,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(inverse(inverse(x)),inverse(multiply(v,x)))),multiply(inverse(inverse(x)),inverse(multiply(w,x)))),
    inference(rew,[status(thm),theory(equality)],[4813,4814]),
    [iquote('0:Rew:4813.0,4814.0')] ).

cnf(5433,plain,
    equal(multiply(inverse(u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),multiply(inverse(multiply(inverse(inverse(v)),u)),w)),
    inference(rew,[status(thm),theory(equality)],[4048,4749,4756]),
    [iquote('0:Rew:4048.0,4749.0,4756.0,4749.0')] ).

cnf(5468,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(inverse(y),w)),z)),multiply(inverse(multiply(inverse(multiply(u,multiply(v,y))),x)),z)),
    inference(rew,[status(thm),theory(equality)],[4048,4331]),
    [iquote('0:Rew:4048.0,4331.0,4048.0,4331.0,4048.0,4331.0')] ).

cnf(5470,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),w)),multiply(inverse(multiply(x,multiply(y,v))),z)),multiply(inverse(w),multiply(inverse(multiply(x,multiply(y,u))),z))),
    inference(rew,[status(thm),theory(equality)],[4048,4463]),
    [iquote('0:Rew:4048.0,4463.0,4048.0,4463.0,4048.0,4463.0')] ).

cnf(5521,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),w)),x)),y),multiply(inverse(x),multiply(inverse(multiply(inverse(w),multiply(u,v))),y))),
    inference(rew,[status(thm),theory(equality)],[5470,4320,4048]),
    [iquote('0:Rew:5470.0,4320.0,4048.0,4320.0,4048.0,4320.0,4048.0,4320.0')] ).

cnf(5522,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),multiply(inverse(multiply(inverse(inverse(x)),multiply(u,inverse(v)))),y)))),w)))),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(y)),x))),
    inference(rew,[status(thm),theory(equality)],[5521,32]),
    [iquote('0:Rew:5521.0,32.0')] ).

cnf(5557,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(u),v)),w)),x),multiply(inverse(w),multiply(inverse(multiply(inverse(v),u)),x))),
    inference(rew,[status(thm),theory(equality)],[4048,4324,5198]),
    [iquote('0:Rew:4048.0,4324.0,5198.0,4324.0,4048.0,4324.0,4048.0,4324.0,4048.0,4324.0')] ).

cnf(5563,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(inverse(multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),multiply(inverse(multiply(inverse(inverse(x)),y)),z)))),w)))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),y))),v)))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(z)),x))),
    inference(rew,[status(thm),theory(equality)],[5557,3744]),
    [iquote('0:Rew:5557.0,3744.0')] ).

cnf(5575,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(v),v))),w)),x),multiply(inverse(w),multiply(u,x))),
    inference(rew,[status(thm),theory(equality)],[5468,4401,4048,4826]),
    [iquote('0:Rew:5468.0,4401.0,4048.0,4401.0,4826.0,4401.0,4048.0,4401.0,4048.0,4401.0')] ).

cnf(5662,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(inverse(v)),multiply(inverse(multiply(inverse(w),x)),inverse(u)))),y))),u)),multiply(inverse(multiply(inverse(inverse(v)),multiply(inverse(x),w))),y)),
    inference(rew,[status(thm),theory(equality)],[5433,4648,4048,5557]),
    [iquote('0:Rew:5433.0,4648.0,4048.0,4648.0,5557.0,4648.0')] ).

cnf(5679,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(w)),multiply(u,inverse(v)))),x))),v))),inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))),
    inference(rew,[status(thm),theory(equality)],[4035,5522]),
    [iquote('0:Rew:4035.0,5522.0')] ).

cnf(5737,plain,
    equal(multiply(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(w)),multiply(u,inverse(v)))),x))),v))),multiply(multiply(multiply(inverse(w),w),inverse(x)),y)),multiply(inverse(w),y)),
    inference(rew,[status(thm),theory(equality)],[4035,4692,5557]),
    [iquote('0:Rew:4035.0,4692.0,5557.0,4692.0')] ).

cnf(5770,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(inverse(v)),multiply(multiply(inverse(u),u),inverse(x)))),w))),x)),
    inference(rew,[status(thm),theory(equality)],[4035,4764,5557]),
    [iquote('0:Rew:4035.0,4764.0,5557.0,4764.0')] ).

cnf(5774,plain,
    equal(multiply(u,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),u))),x)),multiply(w,x)),
    inference(rew,[status(thm),theory(equality)],[4833,4318,4048,4035]),
    [iquote('0:Rew:4833.0,4318.0,4048.0,4318.0,4035.0,4318.0,4048.0,4318.0')] ).

cnf(5823,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),multiply(inverse(multiply(inverse(x),y)),inverse(u)))),z))),u)),multiply(inverse(multiply(inverse(multiply(v,inverse(w))),multiply(inverse(y),x))),z)),
    inference(rew,[status(thm),theory(equality)],[4707,4642,4048,4826,5557]),
    [iquote('0:Rew:4707.0,4642.0,4048.0,4642.0,4826.0,4642.0,5557.0,4642.0')] ).

cnf(5828,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(w)),x)),y))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),x))),v)))),inverse(multiply(multiply(multiply(inverse(w),w),inverse(y)),w))),
    inference(rew,[status(thm),theory(equality)],[4035,5563]),
    [iquote('0:Rew:4035.0,5563.0')] ).

cnf(5924,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(inverse(w),w))),x),multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))),
    inference(rew,[status(thm),theory(equality)],[5116,4080,4048,4707,5823,5557,5213]),
    [iquote('0:Rew:5116.0,4080.0,4048.0,4080.0,4707.0,4080.0,5823.0,4080.0,5557.0,4080.0,5213.0,4080.0')] ).

cnf(6150,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),w),w),
    inference(spr,[status(thm),theory(equality)],[3853,3203]),
    [iquote('0:SpR:3853.0,3203.0')] ).

cnf(6167,plain,
    ( ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
    | ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)))
    | ~ equal(multiply(multiply(inverse(u),u),a2),a2) ),
    inference(spl,[status(thm),theory(equality)],[3853,2]),
    [iquote('0:SpL:3853.0,2.2')] ).

cnf(6223,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w)),multiply(inverse(v),u)),
    inference(spr,[status(thm),theory(equality)],[3853,4048]),
    [iquote('0:SpR:3853.0,4048.0')] ).

cnf(6250,plain,
    equal(multiply(multiply(inverse(u),u),v),multiply(multiply(inverse(w),w),v)),
    inference(spr,[status(thm),theory(equality)],[4353]),
    [iquote('0:SpR:4353.0,4353.0')] ).

cnf(6324,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(w)),multiply(u,inverse(v)))),x))),v))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(x)),w))),
    inference(spr,[status(thm),theory(equality)],[6250,5679]),
    [iquote('0:SpR:6250.0,5679.0')] ).

cnf(6382,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(w),w))),
    inference(spr,[status(thm),theory(equality)],[4635]),
    [iquote('0:SpR:4635.0,4635.0')] ).

cnf(6546,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(v)),w))),v)),w),
    inference(spr,[status(thm),theory(equality)],[3853,4035]),
    [iquote('0:SpR:3853.0,4035.0')] ).

cnf(6741,plain,
    equal(inverse(multiply(multiply(inverse(u),u),v)),inverse(multiply(multiply(inverse(w),w),v))),
    inference(spr,[status(thm),theory(equality)],[4706]),
    [iquote('0:SpR:4706.0,4706.0')] ).

cnf(6893,plain,
    equal(multiply(inverse(u),inverse(multiply(multiply(multiply(inverse(inverse(v)),inverse(v)),inverse(w)),x))),multiply(inverse(multiply(inverse(inverse(x)),u)),w)),
    inference(spr,[status(thm),theory(equality)],[4759,4048]),
    [iquote('0:SpR:4759.0,4048.0')] ).

cnf(6898,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),u))),w),
    inference(spr,[status(thm),theory(equality)],[6546,4759]),
    [iquote('0:SpR:6546.0,4759.0')] ).

cnf(6909,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(multiply(multiply(inverse(inverse(v)),inverse(v)),inverse(w)),multiply(inverse(x),x)))),w),
    inference(spr,[status(thm),theory(equality)],[6382,4759]),
    [iquote('0:SpR:6382.0,4759.0')] ).

cnf(6915,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(v),v)))),w),w),
    inference(rew,[status(thm),theory(equality)],[6893,6909]),
    [iquote('0:Rew:6893.0,6909.0')] ).

cnf(6951,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(y),w))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(multiply(inverse(z),z),inverse(v))),y))),v))))),x),
    inference(spr,[status(thm),theory(equality)],[6741,3820]),
    [iquote('0:SpR:6741.0,3820.0')] ).

cnf(7039,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(v)),inverse(multiply(w,v))))),w),
    inference(rew,[status(thm),theory(equality)],[5356,6951,4813]),
    [iquote('0:Rew:5356.0,6951.0,5356.0,6951.0,4813.0,6951.0')] ).

cnf(7076,plain,
    equal(multiply(inverse(u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),x))),multiply(inverse(multiply(inverse(inverse(x)),u)),w)),
    inference(spr,[status(thm),theory(equality)],[6898,4048]),
    [iquote('0:SpR:6898.0,4048.0')] ).

cnf(7077,plain,
    equal(multiply(inverse(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),w))),x),multiply(inverse(v),multiply(inverse(inverse(w)),x))),
    inference(spr,[status(thm),theory(equality)],[6898,4048]),
    [iquote('0:SpR:6898.0,4048.0')] ).

cnf(7115,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(v),v),inverse(u)),v))),inverse(v))),w)),w),
    inference(rew,[status(thm),theory(equality)],[7076,5120]),
    [iquote('0:Rew:7076.0,5120.0')] ).

cnf(7120,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(inverse(u),multiply(inverse(inverse(v)),inverse(v)))),w)),w),
    inference(rew,[status(thm),theory(equality)],[7077,7115]),
    [iquote('0:Rew:7077.0,7115.0')] ).

cnf(7154,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(v)),inverse(multiply(inverse(w),w))))),inverse(v)),
    inference(spr,[status(thm),theory(equality)],[3853,7039]),
    [iquote('0:SpR:3853.0,7039.0')] ).

cnf(7157,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(v,w))),inverse(multiply(inverse(x),w))))),inverse(multiply(v,x))),
    inference(spr,[status(thm),theory(equality)],[4048,7039]),
    [iquote('0:SpR:4048.0,7039.0')] ).

cnf(7158,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),x))))),inverse(multiply(inverse(x),w))),
    inference(spr,[status(thm),theory(equality)],[6223,7039]),
    [iquote('0:SpR:6223.0,7039.0')] ).

cnf(7160,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(w,multiply(inverse(x),x)))))),w),
    inference(spr,[status(thm),theory(equality)],[6382,7039]),
    [iquote('0:SpR:6382.0,7039.0')] ).

cnf(7191,plain,
    equal(multiply(inverse(u),u),multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),w)))),
    inference(spr,[status(thm),theory(equality)],[6915,3853]),
    [iquote('0:SpR:6915.0,3853.0')] ).

cnf(7210,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),v),multiply(inverse(inverse(multiply(inverse(w),w))),v)),
    inference(spr,[status(thm),theory(equality)],[6915,4048]),
    [iquote('0:SpR:6915.0,4048.0')] ).

cnf(7266,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(inverse(u),multiply(inverse(v),v))),w)),w),
    inference(spr,[status(thm),theory(equality)],[6546,7120]),
    [iquote('0:SpR:6546.0,7120.0')] ).

cnf(7509,plain,
    equal(multiply(u,multiply(inverse(multiply(u,multiply(inverse(v),v))),w)),w),
    inference(spr,[status(thm),theory(equality)],[6546,7266]),
    [iquote('0:SpR:6546.0,7266.0')] ).

cnf(7566,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(multiply(v,multiply(inverse(w),w))),x))),inverse(x)))),v),
    inference(spr,[status(thm),theory(equality)],[7509,7039]),
    [iquote('0:SpR:7509.0,7039.0')] ).

cnf(7589,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),w))),multiply(w,x)),x),
    inference(spr,[status(thm),theory(equality)],[6546,7509]),
    [iquote('0:SpR:6546.0,7509.0')] ).

cnf(7679,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),w))),
    inference(spr,[status(thm),theory(equality)],[7191,7039]),
    [iquote('0:SpR:7191.0,7039.0')] ).

cnf(8974,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(u))),multiply(inverse(w),v)))),u))),multiply(x,inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(z),z))),y)))),
    inference(spr,[status(thm),theory(equality)],[6223,3730]),
    [iquote('0:SpR:6223.0,3730.0')] ).

cnf(9082,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(u))),multiply(inverse(w),v)))),u))),multiply(x,inverse(y))),
    inference(rew,[status(thm),theory(equality)],[6150,8974]),
    [iquote('0:Rew:6150.0,8974.0')] ).

cnf(9444,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),inverse(multiply(inverse(w),w))))),v),
    inference(spr,[status(thm),theory(equality)],[6546,7154]),
    [iquote('0:SpR:6546.0,7154.0')] ).

cnf(9559,plain,
    equal(multiply(multiply(inverse(u),u),inverse(inverse(multiply(inverse(v),v)))),multiply(inverse(w),w)),
    inference(spr,[status(thm),theory(equality)],[4045,9444]),
    [iquote('0:SpR:4045.0,9444.0')] ).

cnf(9628,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(v),v))))),inverse(multiply(inverse(w),w))))),multiply(inverse(x),x)),
    inference(spr,[status(thm),theory(equality)],[9559,7039]),
    [iquote('0:SpR:9559.0,7039.0')] ).

cnf(9645,plain,
    equal(multiply(inverse(multiply(multiply(inverse(u),u),inverse(inverse(multiply(inverse(v),v))))),w),w),
    inference(spr,[status(thm),theory(equality)],[9559,4045]),
    [iquote('0:SpR:9559.0,4045.0')] ).

cnf(9758,plain,
    equal(inverse(inverse(inverse(multiply(inverse(u),u)))),multiply(inverse(v),v)),
    inference(rew,[status(thm),theory(equality)],[9444,9628]),
    [iquote('0:Rew:9444.0,9628.0')] ).

cnf(9872,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(multiply(inverse(x),x),inverse(v))),y))),v)))),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(y),inverse(z))),w))),z))),
    inference(spr,[status(thm),theory(equality)],[6741,3743]),
    [iquote('0:SpR:6741.0,3743.0')] ).

cnf(9874,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),multiply(multiply(multiply(inverse(u),u),inverse(w)),u)))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(w),inverse(x))),v))),x))),
    inference(spr,[status(thm),theory(equality)],[4045,3743]),
    [iquote('0:SpR:4045.0,3743.0')] ).

cnf(10049,plain,
    equal(multiply(inverse(multiply(inverse(u),multiply(inverse(inverse(v)),inverse(v)))),w),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(u),inverse(x))),w))),x))),
    inference(rew,[status(thm),theory(equality)],[7077,9874,7076]),
    [iquote('0:Rew:7077.0,9874.0,7076.0,9874.0')] ).

cnf(10102,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(inverse(inverse(x)),inverse(multiply(y,x)))))),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(y),inverse(z))),w))),z))),
    inference(rew,[status(thm),theory(equality)],[4813,9872]),
    [iquote('0:Rew:4813.0,9872.0')] ).

cnf(10256,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(v),v)),w))),inverse(inverse(multiply(inverse(x),x))))),w),
    inference(spr,[status(thm),theory(equality)],[9758,6546]),
    [iquote('0:SpR:9758.0,6546.0')] ).

cnf(10287,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(multiply(inverse(v),v),inverse(multiply(w,inverse(multiply(inverse(x),x))))))),w),
    inference(spr,[status(thm),theory(equality)],[9758,7039]),
    [iquote('0:SpR:9758.0,7039.0')] ).

cnf(10299,plain,
    equal(multiply(u,multiply(inverse(multiply(u,inverse(inverse(inverse(multiply(inverse(v),v)))))),w)),w),
    inference(spr,[status(thm),theory(equality)],[9758,7509]),
    [iquote('0:SpR:9758.0,7509.0')] ).

cnf(10306,plain,
    equal(multiply(inverse(inverse(inverse(inverse(multiply(inverse(u),u))))),v),v),
    inference(spr,[status(thm),theory(equality)],[9758,4045]),
    [iquote('0:SpR:9758.0,4045.0')] ).

cnf(10327,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),v),multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(w),w)))))),v)),
    inference(spr,[status(thm),theory(equality)],[9758,7210]),
    [iquote('0:SpR:9758.0,7210.0')] ).

cnf(10371,plain,
    equal(inverse(inverse(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))))),multiply(inverse(w),w)),
    inference(spr,[status(thm),theory(equality)],[7679,9758]),
    [iquote('0:SpR:7679.0,9758.0')] ).

cnf(10404,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),inverse(inverse(multiply(inverse(w),w))))),v),
    inference(rew,[status(thm),theory(equality)],[4045,10256]),
    [iquote('0:Rew:4045.0,10256.0')] ).

cnf(10426,plain,
    equal(multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(u),u)))))))),v),v),
    inference(spr,[status(thm),theory(equality)],[10306]),
    [iquote('0:SpR:10306.0,10306.0')] ).

cnf(12320,plain,
    equal(multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(u),u))))))),inverse(inverse(multiply(inverse(v),v))))),w),w),
    inference(spr,[status(thm),theory(equality)],[10426,9645]),
    [iquote('0:SpR:10426.0,9645.0')] ).

cnf(12776,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))),inverse(multiply(multiply(multiply(multiply(inverse(y),y),inverse(inverse(multiply(inverse(z),z)))),inverse(multiply(inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(v))),multiply(inverse(y),y)))),w))),inverse(inverse(multiply(inverse(z),z)))))),
    inference(spr,[status(thm),theory(equality)],[9758,4890]),
    [iquote('0:SpR:9758.0,4890.0')] ).

cnf(13695,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),w)),multiply(inverse(multiply(inverse(inverse(w)),inverse(inverse(inverse(multiply(inverse(x),x)))))),v)),
    inference(spr,[status(thm),theory(equality)],[10299,6546]),
    [iquote('0:SpR:10299.0,6546.0')] ).

cnf(14628,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(multiply(inverse(w),w)),x)),y))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),x))),v)))),inverse(multiply(multiply(multiply(multiply(inverse(w),w),inverse(inverse(multiply(inverse(z),z)))),inverse(y)),inverse(inverse(multiply(inverse(z),z)))))),
    inference(spr,[status(thm),theory(equality)],[9758,5828]),
    [iquote('0:SpR:9758.0,5828.0')] ).

cnf(14889,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(u,inverse(v))),w))),v)))),inverse(multiply(multiply(multiply(multiply(inverse(y),y),inverse(inverse(multiply(inverse(z),z)))),inverse(x)),inverse(inverse(multiply(inverse(z),z)))))),
    inference(rew,[status(thm),theory(equality)],[4045,14628]),
    [iquote('0:Rew:4045.0,14628.0')] ).

cnf(14890,plain,
    equal(inverse(multiply(multiply(multiply(multiply(inverse(u),u),inverse(inverse(multiply(inverse(v),v)))),inverse(w)),inverse(inverse(multiply(inverse(v),v))))),w),
    inference(rew,[status(thm),theory(equality)],[3664,14889]),
    [iquote('0:Rew:3664.0,14889.0')] ).

cnf(14891,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))),multiply(inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(v))),multiply(inverse(y),y)))),w)),
    inference(rew,[status(thm),theory(equality)],[14890,12776]),
    [iquote('0:Rew:14890.0,12776.0')] ).

cnf(15762,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(multiply(inverse(v),v),inverse(multiply(multiply(inverse(w),w),inverse(multiply(inverse(x),x))))))),y),y),
    inference(spr,[status(thm),theory(equality)],[10371,6150]),
    [iquote('0:SpR:10371.0,6150.0')] ).

cnf(16084,plain,
    equal(multiply(multiply(inverse(u),u),v),v),
    inference(rew,[status(thm),theory(equality)],[10287,15762]),
    [iquote('0:Rew:10287.0,15762.0')] ).

cnf(16091,plain,
    equal(inverse(multiply(inverse(inverse(u)),inverse(multiply(v,u)))),v),
    inference(rew,[status(thm),theory(equality)],[16084,7039]),
    [iquote('0:Rew:16084.0,7039.0')] ).

cnf(16093,plain,
    equal(inverse(multiply(inverse(u),inverse(multiply(inverse(v),v)))),u),
    inference(rew,[status(thm),theory(equality)],[16084,9444]),
    [iquote('0:Rew:16084.0,9444.0')] ).

cnf(16127,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(inverse(v)),inverse(x))),w))),x)),
    inference(rew,[status(thm),theory(equality)],[16084,5770]),
    [iquote('0:Rew:16084.0,5770.0')] ).

cnf(16139,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(w)),multiply(u,inverse(v)))),x))),v))),inverse(multiply(inverse(x),w))),
    inference(rew,[status(thm),theory(equality)],[16084,6324]),
    [iquote('0:Rew:16084.0,6324.0')] ).

cnf(16172,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(inverse(x),v)))),multiply(inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(v))),multiply(inverse(y),y)))),w)),
    inference(rew,[status(thm),theory(equality)],[16084,14891]),
    [iquote('0:Rew:16084.0,14891.0')] ).

cnf(16177,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),multiply(inverse(w),w))),x),multiply(u,inverse(multiply(inverse(x),v)))),
    inference(rew,[status(thm),theory(equality)],[16084,5924]),
    [iquote('0:Rew:16084.0,5924.0')] ).

cnf(16600,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),v))),w),multiply(inverse(u),multiply(inverse(inverse(v)),w))),
    inference(rew,[status(thm),theory(equality)],[16084,7077]),
    [iquote('0:Rew:16084.0,7077.0')] ).

cnf(16604,plain,
    equal(multiply(inverse(multiply(inverse(inverse(u)),inverse(inverse(inverse(multiply(inverse(v),v)))))),w),inverse(multiply(inverse(w),u))),
    inference(rew,[status(thm),theory(equality)],[16084,13695]),
    [iquote('0:Rew:16084.0,13695.0')] ).

cnf(16607,plain,
    equal(inverse(multiply(inverse(u),inverse(inverse(multiply(inverse(v),v))))),u),
    inference(rew,[status(thm),theory(equality)],[16084,10404]),
    [iquote('0:Rew:16084.0,10404.0')] ).

cnf(16658,plain,
    equal(multiply(u,multiply(inverse(multiply(inverse(v),u)),w)),multiply(v,w)),
    inference(rew,[status(thm),theory(equality)],[16084,5774]),
    [iquote('0:Rew:16084.0,5774.0')] ).

cnf(16676,plain,
    equal(multiply(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(v)),multiply(u,inverse(w)))),x)),w))),multiply(multiply(multiply(inverse(v),v),inverse(x)),y)),multiply(inverse(v),y)),
    inference(rew,[status(thm),theory(equality)],[16084,5737]),
    [iquote('0:Rew:16084.0,5737.0')] ).

cnf(16699,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(inverse(inverse(v)),w)),x)),multiply(inverse(multiply(w,u)),multiply(inverse(v),x))),
    inference(rew,[status(thm),theory(equality)],[16084,5210]),
    [iquote('0:Rew:16084.0,5210.0')] ).

cnf(16735,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,inverse(u))),multiply(inverse(w),x)))),u)),multiply(inverse(multiply(inverse(inverse(w)),v)),x)),
    inference(rew,[status(thm),theory(equality)],[16084,5287]),
    [iquote('0:Rew:16084.0,5287.0')] ).

cnf(16769,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),multiply(inverse(inverse(w)),inverse(multiply(x,w))))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(x),inverse(y))),v))),y))),
    inference(rew,[status(thm),theory(equality)],[16084,10102]),
    [iquote('0:Rew:16084.0,10102.0')] ).

cnf(16803,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(u,multiply(inverse(v),v))),w))),inverse(w))),u),
    inference(rew,[status(thm),theory(equality)],[16084,7566]),
    [iquote('0:Rew:16084.0,7566.0')] ).

cnf(16826,plain,
    equal(inverse(multiply(inverse(inverse(multiply(u,v))),inverse(multiply(inverse(w),v)))),inverse(multiply(u,w))),
    inference(rew,[status(thm),theory(equality)],[16084,7157]),
    [iquote('0:Rew:16084.0,7157.0')] ).

cnf(16827,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(v),w)))),inverse(multiply(inverse(w),v))),
    inference(rew,[status(thm),theory(equality)],[16084,7158]),
    [iquote('0:Rew:16084.0,7158.0')] ).

cnf(16828,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(v,multiply(inverse(w),w))))),v),
    inference(rew,[status(thm),theory(equality)],[16084,7160]),
    [iquote('0:Rew:16084.0,7160.0')] ).

cnf(16830,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),v)),multiply(v,w)),w),
    inference(rew,[status(thm),theory(equality)],[16084,7589]),
    [iquote('0:Rew:16084.0,7589.0')] ).

cnf(16881,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),v)),w)),x),multiply(inverse(multiply(inverse(u),w)),multiply(v,x))),
    inference(rew,[status(thm),theory(equality)],[16084,5213]),
    [iquote('0:Rew:16084.0,5213.0')] ).

cnf(16896,plain,
    equal(inverse(multiply(inverse(multiply(inverse(u),v)),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(w))),multiply(inverse(v),u)))),w))),multiply(x,inverse(y))),
    inference(rew,[status(thm),theory(equality)],[16084,9082]),
    [iquote('0:Rew:16084.0,9082.0')] ).

cnf(16927,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(u)),multiply(inverse(multiply(inverse(v),w)),inverse(x)))),y)),x)),multiply(inverse(multiply(inverse(inverse(u)),multiply(inverse(w),v))),y)),
    inference(rew,[status(thm),theory(equality)],[16084,5662]),
    [iquote('0:Rew:16084.0,5662.0')] ).

cnf(17031,plain,
    equal(multiply(inverse(multiply(inverse(u),multiply(inverse(inverse(v)),inverse(v)))),w),inverse(multiply(inverse(multiply(inverse(multiply(inverse(u),inverse(x))),w)),x))),
    inference(rew,[status(thm),theory(equality)],[16084,10049]),
    [iquote('0:Rew:16084.0,10049.0')] ).

cnf(17173,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),w)),x),multiply(inverse(w),multiply(u,inverse(multiply(inverse(x),v))))),
    inference(rew,[status(thm),theory(equality)],[16084,4707]),
    [iquote('0:Rew:16084.0,4707.0')] ).

cnf(17177,plain,
    ( ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
    | ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)))
    | ~ equal(a2,a2) ),
    inference(rew,[status(thm),theory(equality)],[16084,6167]),
    [iquote('0:Rew:16084.0,6167.2')] ).

cnf(17210,plain,
    equal(multiply(inverse(multiply(u,inverse(multiply(inverse(v),w)))),x),multiply(inverse(v),multiply(inverse(multiply(u,inverse(w))),x))),
    inference(rew,[status(thm),theory(equality)],[16084,4336]),
    [iquote('0:Rew:16084.0,4336.0')] ).

cnf(17336,plain,
    equal(multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(u),u)))))),v),v),
    inference(rew,[status(thm),theory(equality)],[16607,12320]),
    [iquote('0:Rew:16607.0,12320.0')] ).

cnf(17352,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),v),v),
    inference(rew,[status(thm),theory(equality)],[17336,10327]),
    [iquote('0:Rew:17336.0,10327.0')] ).

cnf(17423,plain,
    equal(multiply(inverse(u),multiply(u,v)),v),
    inference(rew,[status(thm),theory(equality)],[17352,16830]),
    [iquote('0:Rew:17352.0,16830.0')] ).

cnf(17460,plain,
    equal(multiply(inverse(u),multiply(inverse(inverse(u)),v)),v),
    inference(rew,[status(thm),theory(equality)],[16600,17352]),
    [iquote('0:Rew:16600.0,17352.0')] ).

cnf(17463,plain,
    equal(inverse(multiply(inverse(multiply(u,multiply(inverse(v),v))),multiply(inverse(inverse(w)),inverse(w)))),u),
    inference(rew,[status(thm),theory(equality)],[16600,16803]),
    [iquote('0:Rew:16600.0,16803.0')] ).

cnf(17464,plain,
    equal(inverse(inverse(multiply(u,multiply(inverse(v),v)))),u),
    inference(rew,[status(thm),theory(equality)],[17460,16828,16600]),
    [iquote('0:Rew:17460.0,16828.0,16600.0,16828.0')] ).

cnf(17551,plain,
    equal(inverse(inverse(multiply(inverse(u),v))),inverse(multiply(inverse(v),u))),
    inference(rew,[status(thm),theory(equality)],[17460,16827,16600]),
    [iquote('0:Rew:17460.0,16827.0,16600.0,16827.0')] ).

cnf(17564,plain,
    equal(multiply(inverse(u),multiply(inverse(inverse(v)),w)),multiply(inverse(multiply(inverse(v),u)),w)),
    inference(rew,[status(thm),theory(equality)],[17551,16600]),
    [iquote('0:Rew:17551.0,16600.0')] ).

cnf(17664,plain,
    equal(inverse(multiply(inverse(multiply(inverse(u),multiply(v,multiply(inverse(w),w)))),inverse(u))),v),
    inference(rew,[status(thm),theory(equality)],[17564,17463]),
    [iquote('0:Rew:17564.0,17463.0')] ).

cnf(17772,plain,
    equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
    inference(rew,[status(thm),theory(equality)],[16093,16604,17551]),
    [iquote('0:Rew:16093.0,16604.0,17551.0,16604.0,17551.0,16604.0')] ).

cnf(17773,plain,
    equal(multiply(multiply(inverse(u),v),multiply(inverse(w),w)),multiply(inverse(u),v)),
    inference(rew,[status(thm),theory(equality)],[17772,6223]),
    [iquote('0:Rew:17772.0,6223.0')] ).

cnf(17778,plain,
    equal(inverse(multiply(inverse(inverse(multiply(u,v))),multiply(inverse(v),w))),inverse(multiply(u,w))),
    inference(rew,[status(thm),theory(equality)],[17772,16826]),
    [iquote('0:Rew:17772.0,16826.0')] ).

cnf(17787,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(inverse(v),w)),x)),multiply(inverse(multiply(multiply(inverse(v),w),u)),x)),
    inference(rew,[status(thm),theory(equality)],[17772,5557]),
    [iquote('0:Rew:17772.0,5557.0')] ).

cnf(17793,plain,
    equal(inverse(multiply(multiply(inverse(multiply(u,multiply(inverse(v),v))),w),inverse(w))),u),
    inference(rew,[status(thm),theory(equality)],[17772,17664]),
    [iquote('0:Rew:17772.0,17664.0')] ).

cnf(17795,plain,
    equal(multiply(multiply(inverse(u),multiply(v,multiply(inverse(w),w))),x),multiply(inverse(u),multiply(v,x))),
    inference(rew,[status(thm),theory(equality)],[17772,5575]),
    [iquote('0:Rew:17772.0,5575.0')] ).

cnf(17798,plain,
    equal(multiply(u,multiply(multiply(inverse(u),v),w)),multiply(v,w)),
    inference(rew,[status(thm),theory(equality)],[17772,16658]),
    [iquote('0:Rew:17772.0,16658.0')] ).

cnf(17799,plain,
    equal(multiply(inverse(u),multiply(inverse(inverse(v)),w)),multiply(multiply(inverse(u),v),w)),
    inference(rew,[status(thm),theory(equality)],[17772,17564]),
    [iquote('0:Rew:17772.0,17564.0')] ).

cnf(17800,plain,
    equal(multiply(inverse(inverse(multiply(u,v))),inverse(v)),u),
    inference(rew,[status(thm),theory(equality)],[17772,16091]),
    [iquote('0:Rew:17772.0,16091.0')] ).

cnf(17807,plain,
    equal(multiply(multiply(inverse(u),v),inverse(multiply(w,v))),inverse(multiply(w,u))),
    inference(rew,[status(thm),theory(equality)],[17772,17778]),
    [iquote('0:Rew:17772.0,17778.0,17772.0,17778.0')] ).

cnf(17866,plain,
    equal(multiply(inverse(multiply(multiply(inverse(u),v),w)),x),multiply(inverse(w),multiply(multiply(inverse(v),u),x))),
    inference(rew,[status(thm),theory(equality)],[17772,17787]),
    [iquote('0:Rew:17772.0,17787.0')] ).

cnf(17870,plain,
    equal(multiply(multiply(u,inverse(v)),w),multiply(u,multiply(inverse(v),w))),
    inference(rew,[status(thm),theory(equality)],[16084,16177,17772]),
    [iquote('0:Rew:16084.0,16177.0,17772.0,16177.0,17772.0,16177.0,17772.0,16177.0')] ).

cnf(17880,plain,
    equal(multiply(inverse(u),multiply(inverse(v),multiply(inverse(w),x))),multiply(inverse(multiply(v,u)),multiply(inverse(w),x))),
    inference(rew,[status(thm),theory(equality)],[17870,16699,17772]),
    [iquote('0:Rew:17870.0,16699.0,17772.0,16699.0')] ).

cnf(17887,plain,
    equal(multiply(multiply(multiply(inverse(u),v),w),x),multiply(multiply(inverse(u),v),multiply(w,x))),
    inference(rew,[status(thm),theory(equality)],[17772,16881,17870]),
    [iquote('0:Rew:17772.0,16881.0,17772.0,16881.0,17870.0,16881.0,17772.0,16881.0,17772.0,16881.0')] ).

cnf(17902,plain,
    equal(multiply(multiply(inverse(u),multiply(v,inverse(w))),x),multiply(inverse(u),multiply(v,multiply(inverse(w),x)))),
    inference(rew,[status(thm),theory(equality)],[17772,17173]),
    [iquote('0:Rew:17772.0,17173.0,17772.0,17173.0')] ).

cnf(17906,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,inverse(w))),x)),multiply(inverse(multiply(v,multiply(inverse(w),u))),x)),
    inference(rew,[status(thm),theory(equality)],[17772,17210]),
    [iquote('0:Rew:17772.0,17210.0')] ).

cnf(17985,plain,
    equal(multiply(inverse(inverse(u)),multiply(multiply(inverse(u),v),w)),multiply(v,w)),
    inference(rew,[status(thm),theory(equality)],[17866,17031,17799,16084,17772,17880,17870]),
    [iquote('0:Rew:17866.0,17031.0,17799.0,17031.0,16084.0,17031.0,17772.0,17031.0,17772.0,17031.0,17880.0,17031.0,17870.0,17031.0,17866.0,17031.0,17772.0,17031.0')] ).

cnf(17999,plain,
    ( ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
    | ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
    inference(obv,[status(thm),theory(equality)],[17177]),
    [iquote('0:Obv:17177.2')] ).

cnf(18063,plain,
    equal(multiply(u,inverse(multiply(multiply(inverse(v),w),multiply(u,multiply(inverse(x),x))))),multiply(inverse(w),v)),
    inference(rew,[status(thm),theory(equality)],[17870,16139,17887,16084,17772]),
    [iquote('0:Rew:17870.0,16139.0,17887.0,16139.0,16084.0,16139.0,17772.0,16139.0,17772.0,16139.0,17870.0,16139.0,17772.0,16139.0,17772.0,16139.0')] ).

cnf(18067,plain,
    equal(inverse(multiply(multiply(inverse(u),v),multiply(w,multiply(inverse(x),x)))),multiply(inverse(w),multiply(inverse(v),u))),
    inference(rew,[status(thm),theory(equality)],[17870,16735,17887,16084,17772]),
    [iquote('0:Rew:17870.0,16735.0,17887.0,16735.0,16084.0,16735.0,17772.0,16735.0,17772.0,16735.0,17870.0,16735.0,17772.0,16735.0')] ).

cnf(18069,plain,
    equal(multiply(u,multiply(inverse(u),multiply(inverse(v),w))),multiply(inverse(v),w)),
    inference(rew,[status(thm),theory(equality)],[18067,18063]),
    [iquote('0:Rew:18067.0,18063.0')] ).

cnf(18118,plain,
    equal(inverse(multiply(multiply(inverse(u),v),multiply(inverse(w),x))),multiply(multiply(inverse(x),w),multiply(inverse(v),u))),
    inference(rew,[status(thm),theory(equality)],[17773,16927,17887,17772,17866,17902]),
    [iquote('0:Rew:17773.0,16927.0,17887.0,16927.0,17887.0,16927.0,17772.0,16927.0,17866.0,16927.0,17772.0,16927.0,17902.0,16927.0,17866.0,16927.0,17772.0,16927.0,17772.0,16927.0,17887.0,16927.0,17772.0,16927.0,17772.0,16927.0')] ).

cnf(18130,plain,
    equal(multiply(multiply(u,multiply(inverse(v),w)),x),multiply(u,multiply(multiply(inverse(v),w),x))),
    inference(rew,[status(thm),theory(equality)],[17772,16172,16084,17906]),
    [iquote('0:Rew:17772.0,16172.0,17772.0,16172.0,16084.0,16172.0,16084.0,16172.0,17772.0,16172.0,17772.0,16172.0,17906.0,16172.0')] ).

cnf(18135,plain,
    equal(multiply(multiply(inverse(u),v),multiply(inverse(v),w)),multiply(inverse(u),w)),
    inference(rew,[status(thm),theory(equality)],[18069,16676,18067,17870,17887,17772,16084]),
    [iquote('0:Rew:18069.0,16676.0,18067.0,16676.0,17870.0,16676.0,17887.0,16676.0,17772.0,16676.0,17772.0,16676.0,17870.0,16676.0,17772.0,16676.0,16084.0,16676.0')] ).

cnf(18184,plain,
    equal(multiply(u,multiply(inverse(v),multiply(inverse(w),w))),multiply(u,inverse(v))),
    inference(rew,[status(thm),theory(equality)],[18135,16896,18130,16084,17772,18118,17870,17902]),
    [iquote('0:Rew:18135.0,16896.0,18130.0,16896.0,18130.0,16896.0,16084.0,16896.0,17772.0,16896.0,18118.0,16896.0,17772.0,16896.0,17870.0,16896.0,16084.0,16896.0,17772.0,16896.0,17902.0,16896.0,17772.0,16896.0')] ).

cnf(18199,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(inverse(v),w),u))),multiply(inverse(w),v)),
    inference(rew,[status(thm),theory(equality)],[17772,16127,16084,17773,17887,17870]),
    [iquote('0:Rew:17772.0,16127.0,16084.0,16127.0,17773.0,16127.0,17887.0,16127.0,16084.0,16127.0,17772.0,16127.0,17772.0,16127.0,17870.0,16127.0,17772.0,16127.0')] ).

cnf(18216,plain,
    equal(multiply(inverse(inverse(u)),v),inverse(inverse(multiply(u,v)))),
    inference(rew,[status(thm),theory(equality)],[17807,16769,17799,16084,17772,18184,17870,17866]),
    [iquote('0:Rew:17807.0,16769.0,17799.0,16769.0,16084.0,16769.0,17772.0,16769.0,18184.0,16769.0,17870.0,16769.0,17866.0,16769.0,16084.0,16769.0,17772.0,16769.0')] ).

cnf(18219,plain,
    equal(inverse(inverse(multiply(u,inverse(multiply(multiply(inverse(v),w),u))))),multiply(inverse(w),v)),
    inference(rew,[status(thm),theory(equality)],[18216,18199]),
    [iquote('0:Rew:18216.0,18199.0')] ).

cnf(18221,plain,
    equal(inverse(inverse(multiply(multiply(u,v),inverse(v)))),u),
    inference(rew,[status(thm),theory(equality)],[18216,17800]),
    [iquote('0:Rew:18216.0,17800.0')] ).

cnf(18222,plain,
    equal(inverse(inverse(multiply(u,multiply(multiply(inverse(u),v),w)))),multiply(v,w)),
    inference(rew,[status(thm),theory(equality)],[18216,17985]),
    [iquote('0:Rew:18216.0,17985.0')] ).

cnf(18228,plain,
    equal(inverse(inverse(multiply(u,v))),multiply(u,v)),
    inference(rew,[status(thm),theory(equality)],[17798,18222]),
    [iquote('0:Rew:17798.0,18222.0')] ).

cnf(18229,plain,
    equal(multiply(multiply(u,v),inverse(v)),u),
    inference(rew,[status(thm),theory(equality)],[18228,18221]),
    [iquote('0:Rew:18228.0,18221.0')] ).

cnf(18231,plain,
    equal(multiply(u,multiply(inverse(v),v)),u),
    inference(rew,[status(thm),theory(equality)],[18228,17464]),
    [iquote('0:Rew:18228.0,17464.0')] ).

cnf(18232,plain,
    equal(inverse(inverse(multiply(u,multiply(inverse(v),v)))),u),
    inference(rew,[status(thm),theory(equality)],[18229,17793]),
    [iquote('0:Rew:18229.0,17793.0')] ).

cnf(18238,plain,
    equal(multiply(multiply(inverse(u),v),w),multiply(inverse(u),multiply(v,w))),
    inference(rew,[status(thm),theory(equality)],[18231,17795]),
    [iquote('0:Rew:18231.0,17795.0')] ).

cnf(18248,plain,
    equal(inverse(inverse(u)),u),
    inference(rew,[status(thm),theory(equality)],[18231,18232]),
    [iquote('0:Rew:18231.0,18232.0')] ).

cnf(18286,plain,
    equal(multiply(u,multiply(inverse(multiply(v,u)),w)),multiply(inverse(v),w)),
    inference(rew,[status(thm),theory(equality)],[18248,18219,17772,18238]),
    [iquote('0:Rew:18248.0,18219.0,17772.0,18219.0,18238.0,18219.0')] ).

cnf(19093,plain,
    equal(multiply(multiply(u,v),multiply(inverse(multiply(inverse(w),v)),x)),multiply(inverse(inverse(multiply(u,w))),x)),
    inference(spr,[status(thm),theory(equality)],[4048,18286]),
    [iquote('0:SpR:4048.0,18286.0')] ).

cnf(19106,plain,
    equal(multiply(multiply(u,v),multiply(inverse(v),multiply(w,x))),multiply(multiply(u,w),x)),
    inference(rew,[status(thm),theory(equality)],[18238,19093,17772,18248]),
    [iquote('0:Rew:18238.0,19093.0,17772.0,19093.0,18248.0,19093.0')] ).

cnf(19116,plain,
    equal(multiply(multiply(u,v),multiply(inverse(v),w)),multiply(inverse(inverse(u)),w)),
    inference(spr,[status(thm),theory(equality)],[17423,18286]),
    [iquote('0:SpR:17423.0,18286.0')] ).

cnf(19127,plain,
    equal(multiply(multiply(u,v),multiply(inverse(v),w)),multiply(u,w)),
    inference(rew,[status(thm),theory(equality)],[18248,19116]),
    [iquote('0:Rew:18248.0,19116.0')] ).

cnf(19128,plain,
    equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
    inference(rew,[status(thm),theory(equality)],[19127,19106]),
    [iquote('0:Rew:19127.0,19106.0')] ).

cnf(19130,plain,
    ( ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
    | ~ equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) ),
    inference(rew,[status(thm),theory(equality)],[19128,17999]),
    [iquote('0:Rew:19128.0,17999.1')] ).

cnf(19140,plain,
    ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1)),
    inference(obv,[status(thm),theory(equality)],[19130]),
    [iquote('0:Obv:19130.1')] ).

cnf(19141,plain,
    $false,
    inference(unc,[status(thm)],[19140,3853]),
    [iquote('0:UnC:19140.0,3853.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP052-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 13 04:16:26 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 28.27/28.49  
% 28.27/28.49  SPASS V 3.9 
% 28.27/28.49  SPASS beiseite: Proof found.
% 28.27/28.49  % SZS status Theorem
% 28.27/28.49  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 28.27/28.49  SPASS derived 13125 clauses, backtracked 0 clauses, performed 0 splits and kept 3106 clauses.
% 28.27/28.49  SPASS allocated 120035 KBytes.
% 28.27/28.49  SPASS spent	0:0:28.13 on the problem.
% 28.27/28.49  		0:00:00.04 for the input.
% 28.27/28.49  		0:00:00.00 for the FLOTTER CNF translation.
% 28.27/28.49  		0:00:00.17 for inferences.
% 28.27/28.49  		0:00:00.00 for the backtracking.
% 28.27/28.49  		0:0:27.89 for the reduction.
% 28.27/28.49  
% 28.27/28.49  
% 28.27/28.49  Here is a proof with depth 19, length 283 :
% 28.27/28.49  % SZS output start Refutation
% See solution above
% 28.65/28.84  Formulae used in the proof : single_axiom prove_these_axioms
% 28.65/28.84  
%------------------------------------------------------------------------------