%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : GRP414-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 11:47:16 EDT 2022

% Result   : Unsatisfiable 26.10s 26.32s
% Output   : Refutation 26.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   52
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  291 ( 291 unt;   0 nHn; 291 RR)
%            Number of literals    :  291 (   0 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   24 (   3 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 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('GRP414-1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
    file('GRP414-1.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(20,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(y))),x))),y)),inverse(multiply(inverse(multiply(u,multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),z))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(y))),x))),y)))),z),
    inference(spr,[status(thm),theory(equality)],[5,1]),
    [iquote('0:SpR:5.0,1.0')] ).

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(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(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(57,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(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(89,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),w))),x))),y))),multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),w))),x))),y))),multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),inverse(multiply(inverse(y),z))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),w))),x))),y))),multiply(multiply(multiply(inverse(v),v),inverse(w)),v))))),z),
    inference(spr,[status(thm),theory(equality)],[5,3]),
    [iquote('0:SpR:5.0,3.0')] ).

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(139,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(v,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),multiply(x,v)))),w)),inverse(y)),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x,inverse(w))),multiply(x,v)))),w)))),inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(u,v)),inverse(z))),y))),z))),
    inference(spr,[status(thm),theory(equality)],[107,5]),
    [iquote('0:SpR:107.0,5.0')] ).

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(153,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),w),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(z,inverse(y))),multiply(z,w)))),y)))),x))),
    inference(spr,[status(thm),theory(equality)],[107,5]),
    [iquote('0:SpR:107.0,5.0')] ).

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

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

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(432,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),w)),x)),multiply(inverse(multiply(y,w)),z)),multiply(inverse(multiply(x1,multiply(y,multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(x)),v)))))),multiply(x1,z))),
    inference(spr,[status(thm),theory(equality)],[24,277]),
    [iquote('0:SpR:24.0,277.0')] ).

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

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(1143,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,z)),inverse(y))),multiply(inverse(multiply(inverse(multiply(v,inverse(w))),z)),x)))),y))),
    inference(spr,[status(thm),theory(equality)],[107,26]),
    [iquote('0:SpR:107.0,26.0')] ).

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(1503,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(y,multiply(z,w))),multiply(y,multiply(z,x1)))),multiply(inverse(multiply(x2,x)),multiply(x2,multiply(u,multiply(v,x1))))),
    inference(spr,[status(thm),theory(equality)],[618,211]),
    [iquote('0:SpR:618.0,211.0')] ).

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(1724,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)],[24,1724]),
    [iquote('0:Rew:24.0,1724.0')] ).

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(2246,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(multiply(x,v)),y)),multiply(multiply(z,inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(inverse(multiply(multiply(multiply(inverse(x2),x2),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(z,inverse(x1))),inverse(multiply(x,w)))),inverse(x2))),x3))),x2)))),x1))),multiply(multiply(multiply(inverse(multiply(x,w)),multiply(x,w)),inverse(x3)),y))),
    inference(spr,[status(thm),theory(equality)],[32,277]),
    [iquote('0:SpR:32.0,277.0')] ).

cnf(2738,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(w,x)),multiply(w,y)))),v))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(z,inverse(x))),multiply(z,inverse(multiply(u,inverse(v))))))),y)),
    inference(spr,[status(thm),theory(equality)],[297,1]),
    [iquote('0:SpR:297.0,1.0')] ).

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(2752,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(inverse(multiply(w,x)),multiply(w,y)))),multiply(inverse(multiply(z,v)),x1)),multiply(inverse(multiply(x2,multiply(z,multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(x3,inverse(x))),multiply(x3,u)))),y)))),multiply(x2,x1))),
    inference(spr,[status(thm),theory(equality)],[297,277]),
    [iquote('0:SpR:297.0,277.0')] ).

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(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(3489,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),w))),inverse(u))),v))),u)),v),
    inference(spr,[status(thm),theory(equality)],[3203,107]),
    [iquote('0:SpR:3203.0,107.0')] ).

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(3677,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,w))),multiply(inverse(multiply(x,v)),y)),multiply(multiply(z,inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(inverse(multiply(multiply(multiply(inverse(x2),x2),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(z,inverse(x1))),inverse(multiply(x,w)))),inverse(x2))),x3))),x2)))),x1))),multiply(multiply(multiply(inverse(w),w),inverse(x3)),y))),
    inference(rew,[status(thm),theory(equality)],[3506,2246]),
    [iquote('0:Rew:3506.0,2246.0')] ).

cnf(3702,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(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(3713,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(multiply(inverse(x),y))),multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),multiply(multiply(multiply(inverse(v),v),inverse(w)),v)),inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(z),z),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(z))),w))),z))),x))),multiply(multiply(multiply(inverse(v),v),inverse(w)),v))))),y),
    inference(rew,[status(thm),theory(equality)],[3506,89]),
    [iquote('0:Rew:3506.0,89.0')] ).

cnf(3715,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(3729,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)],[3506,57]),
    [iquote('0:Rew:3506.0,57.0')] ).

cnf(3738,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(3816,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(inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(y))),z))),y))),w))),multiply(multiply(multiply(inverse(v),v),inverse(z)),v))))),x),
    inference(rew,[status(thm),theory(equality)],[3506,3713]),
    [iquote('0:Rew:3506.0,3713.0')] ).

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)],[3506,3715]),
    [iquote('0:Rew:3506.0,3715.0')] ).

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)],[3702,24]),
    [iquote('0:SpR:3702.0,24.0')] ).

cnf(3840,plain,
    equal(multiply(inverse(multiply(u,inverse(inverse(v)))),multiply(u,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),inverse(v))))),x),
    inference(spr,[status(thm),theory(equality)],[3702,24]),
    [iquote('0:SpR:3702.0,24.0')] ).

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)],[3702,3203]),
    [iquote('0:SpR:3702.0,3203.0')] ).

cnf(3853,plain,
    equal(multiply(inverse(u),u),multiply(inverse(v),v)),
    inference(spr,[status(thm),theory(equality)],[3702]),
    [iquote('0:SpR:3702.0,3702.0')] ).

cnf(3870,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(inverse(w)))),inverse(u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(multiply(inverse(y),y),inverse(x))),z))),x)))),u)),multiply(v,inverse(multiply(z,inverse(w))))),
    inference(spr,[status(thm),theory(equality)],[3702,29]),
    [iquote('0:SpR:3702.0,29.0')] ).

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)],[3702,1887]),
    [iquote('0:SpR:3702.0,1887.0')] ).

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)],[3702,1897]),
    [iquote('0:SpR:3702.0,1897.0')] ).

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)],[3702,975]),
    [iquote('0:SpR:3702.0,975.0')] ).

cnf(3968,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(inverse(y)),inverse(y)),inverse(x))),z))),x)))),u)),multiply(v,inverse(multiply(z,w)))),
    inference(spr,[status(thm),theory(equality)],[3702,29]),
    [iquote('0:SpR:3702.0,29.0')] ).

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)],[3702,211]),
    [iquote('0:SpR:3702.0,211.0')] ).

cnf(4033,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(4034,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)],[3851,3489]),
    [iquote('0:Rew:3851.0,3489.0')] ).

cnf(4045,plain,
    equal(multiply(inverse(multiply(inverse(u),u)),v),v),
    inference(rew,[status(thm),theory(equality)],[4034,3828]),
    [iquote('0:Rew:4034.0,3828.0')] ).

cnf(4047,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)],[4047,277]),
    [iquote('0:Rew:4047.0,277.0')] ).

cnf(4062,plain,
    equal(multiply(multiply(inverse(inverse(u)),inverse(u)),v),multiply(multiply(inverse(w),w),v)),
    inference(rew,[status(thm),theory(equality)],[4047,3919]),
    [iquote('0:Rew:4047.0,3919.0')] ).

cnf(4072,plain,
    equal(multiply(inverse(multiply(u,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),w))),v))),multiply(u,x)),multiply(y,multiply(multiply(multiply(w,multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),w))),v)),inverse(multiply(inverse(multiply(z,w)),multiply(z,y)))),x))),
    inference(rew,[status(thm),theory(equality)],[4047,2894]),
    [iquote('0:Rew:4047.0,2894.0')] ).

cnf(4077,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)],[4047,740]),
    [iquote('0:Rew:4047.0,740.0')] ).

cnf(4080,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(inverse(w),x))),multiply(inverse(multiply(y,v)),z)),multiply(inverse(multiply(x1,multiply(y,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(x2,inverse(w))),multiply(x2,u)))),x)))),multiply(x1,z))),
    inference(rew,[status(thm),theory(equality)],[4047,2752]),
    [iquote('0:Rew:4047.0,2752.0')] ).

cnf(4099,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),v))),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(multiply(y,inverse(w))),multiply(y,inverse(multiply(u,inverse(v))))))),x)),
    inference(rew,[status(thm),theory(equality)],[4047,2738]),
    [iquote('0:Rew:4047.0,2738.0')] ).

cnf(4166,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(y,w)),multiply(y,z))),multiply(inverse(multiply(x1,x)),multiply(x1,multiply(u,multiply(v,z))))),
    inference(rew,[status(thm),theory(equality)],[4047,1503]),
    [iquote('0:Rew:4047.0,1503.0')] ).

cnf(4180,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x)))),y)),multiply(inverse(multiply(inverse(z),multiply(x1,x))),multiply(inverse(multiply(inverse(multiply(x1,w)),z)),x2))),multiply(inverse(multiply(x3,y)),multiply(x3,multiply(u,x2)))),
    inference(rew,[status(thm),theory(equality)],[4047,643]),
    [iquote('0:Rew:4047.0,643.0')] ).

cnf(4181,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),multiply(v,x)))),multiply(u,y))),multiply(inverse(multiply(inverse(z),multiply(x1,x))),x2)),multiply(inverse(multiply(x3,multiply(inverse(multiply(inverse(multiply(x1,w)),z)),y))),multiply(x3,x2))),
    inference(rew,[status(thm),theory(equality)],[4047,642]),
    [iquote('0:Rew:4047.0,642.0')] ).

cnf(4246,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(y),multiply(inverse(multiply(x1,multiply(x2,w))),x3))),
    inference(rew,[status(thm),theory(equality)],[4047,1516]),
    [iquote('0:Rew:4047.0,1516.0')] ).

cnf(4268,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,multiply(w,x)))),multiply(u,y))),multiply(inverse(multiply(inverse(multiply(z,x1)),multiply(z,x))),x2)),multiply(inverse(multiply(x3,multiply(inverse(multiply(v,multiply(w,x1))),y))),multiply(x3,x2))),
    inference(rew,[status(thm),theory(equality)],[4047,1511]),
    [iquote('0:Rew:4047.0,1511.0')] ).

cnf(4274,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)],[4047,1513]),
    [iquote('0:Rew:4047.0,1513.0')] ).

cnf(4312,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)],[4047,2918]),
    [iquote('0:Rew:4047.0,2918.0')] ).

cnf(4393,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),w)),x)),multiply(inverse(multiply(y,w)),z)),multiply(inverse(multiply(y,multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(x)),v))))),z)),
    inference(rew,[status(thm),theory(equality)],[4047,432]),
    [iquote('0:Rew:4047.0,432.0')] ).

cnf(4399,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(inverse(w)),inverse(w)))),
    inference(rew,[status(thm),theory(equality)],[4047,3930]),
    [iquote('0:Rew:4047.0,3930.0')] ).

cnf(4500,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)],[4047,423]),
    [iquote('0:Rew:4047.0,423.0')] ).

cnf(4502,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)],[4047,387]),
    [iquote('0:Rew:4047.0,387.0')] ).

cnf(4519,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)],[4047,223]),
    [iquote('0:Rew:4047.0,223.0')] ).

cnf(4525,plain,
    equal(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(u,multiply(w,x)))),multiply(inverse(multiply(inverse(multiply(w,y)),v)),z))),multiply(inverse(multiply(x1,multiply(inverse(multiply(x2,y)),multiply(x2,x)))),x3)),multiply(inverse(multiply(x1,z)),x3)),
    inference(rew,[status(thm),theory(equality)],[4047,645]),
    [iquote('0:Rew:4047.0,645.0')] ).

cnf(4641,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)],[4047,1148]),
    [iquote('0:Rew:4047.0,1148.0')] ).

cnf(4667,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),multiply(u,x))),multiply(inverse(multiply(inverse(y),w)),z)),multiply(inverse(multiply(x1,multiply(inverse(multiply(v,y)),x))),multiply(x1,z))),
    inference(rew,[status(thm),theory(equality)],[4047,421]),
    [iquote('0:Rew:4047.0,421.0')] ).

cnf(4678,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(x),multiply(inverse(multiply(z,v)),x1))),
    inference(rew,[status(thm),theory(equality)],[4047,383]),
    [iquote('0:Rew:4047.0,383.0')] ).

cnf(4705,plain,
    equal(inverse(multiply(multiply(inverse(u),u),v)),inverse(multiply(multiply(inverse(inverse(w)),inverse(w)),v))),
    inference(rew,[status(thm),theory(equality)],[4047,3924]),
    [iquote('0:Rew:4047.0,3924.0')] ).

cnf(4706,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)],[4047,291]),
    [iquote('0:Rew:4047.0,291.0')] ).

cnf(4707,plain,
    equal(multiply(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),v))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),w))),y)),multiply(inverse(x),y)),
    inference(rew,[status(thm),theory(equality)],[4047,296]),
    [iquote('0:Rew:4047.0,296.0')] ).

cnf(4713,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(multiply(w,u)),x)),multiply(multiply(y,inverse(multiply(multiply(multiply(inverse(z),z),inverse(inverse(multiply(multiply(multiply(inverse(x1),x1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(y,inverse(z))),inverse(multiply(w,v)))),inverse(x1))),x2))),x1)))),z))),multiply(multiply(multiply(inverse(v),v),inverse(x2)),x))),
    inference(rew,[status(thm),theory(equality)],[4047,3677]),
    [iquote('0:Rew:4047.0,3677.0')] ).

cnf(4758,plain,
    equal(multiply(inverse(inverse(inverse(u))),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),inverse(u)))),w),
    inference(rew,[status(thm),theory(equality)],[4047,3840]),
    [iquote('0:Rew:4047.0,3840.0')] ).

cnf(4798,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(v,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),v))),w)),inverse(x)),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),v))),w)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(u,v)),inverse(y))),x))),y))),
    inference(rew,[status(thm),theory(equality)],[4047,139]),
    [iquote('0:Rew:4047.0,139.0')] ).

cnf(4802,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),w),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(x))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(inverse(y)),w))),y)))),x))),
    inference(rew,[status(thm),theory(equality)],[4047,153]),
    [iquote('0:Rew:4047.0,153.0')] ).

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)],[4047,39]),
    [iquote('0:Rew:4047.0,39.0')] ).

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)],[4047,3729]),
    [iquote('0:Rew:4047.0,3729.0')] ).

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)],[4047,4055]),
    [iquote('0:Rew:4047.0,4055.0')] ).

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)],[4047,4033]),
    [iquote('0:Rew:4047.0,4033.0')] ).

cnf(4895,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),multiply(inverse(multiply(u,inverse(v))),w)))),multiply(multiply(multiply(inverse(v),v),inverse(y)),v))))),x),
    inference(rew,[status(thm),theory(equality)],[4519,3816]),
    [iquote('0:Rew:4519.0,3816.0')] ).

cnf(4897,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)],[4519,3738]),
    [iquote('0:Rew:4519.0,3738.0')] ).

cnf(5107,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(w),y)),multiply(inverse(x),multiply(u,multiply(v,y)))),
    inference(rew,[status(thm),theory(equality)],[4047,4166]),
    [iquote('0:Rew:4047.0,4166.0,4047.0,4166.0')] ).

cnf(5111,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)],[4047,4274]),
    [iquote('0:Rew:4047.0,4274.0,4047.0,4274.0')] ).

cnf(5154,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),w)),multiply(inverse(multiply(inverse(x),v)),y)),multiply(inverse(multiply(inverse(multiply(u,x)),w)),y)),
    inference(rew,[status(thm),theory(equality)],[4047,4667]),
    [iquote('0:Rew:4047.0,4667.0,4047.0,4667.0')] ).

cnf(5187,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,multiply(v,inverse(w)))),inverse(y))),x))),y))),
    inference(rew,[status(thm),theory(equality)],[5154,1143]),
    [iquote('0:Rew:5154.0,1143.0')] ).

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)],[4047,4678]),
    [iquote('0:Rew:4047.0,4678.0,4047.0,4678.0')] ).

cnf(5204,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)],[4047,4077]),
    [iquote('0:Rew:4047.0,4077.0,4047.0,4077.0')] ).

cnf(5216,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)],[4047,4500]),
    [iquote('0:Rew:4047.0,4500.0,4047.0,4500.0')] ).

cnf(5240,plain,
    equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),y),multiply(inverse(x),multiply(inverse(multiply(u,multiply(v,inverse(w)))),y))),
    inference(rew,[status(thm),theory(equality)],[5198,4393]),
    [iquote('0:Rew:5198.0,4393.0')] ).

cnf(5255,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(y))),x))),y)),inverse(multiply(inverse(x),multiply(inverse(multiply(u,multiply(v,inverse(w)))),z)))),multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(y))),x))),y)))),z),
    inference(rew,[status(thm),theory(equality)],[5240,20]),
    [iquote('0:Rew:5240.0,20.0')] ).

cnf(5271,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),v))),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),inverse(multiply(u,inverse(v)))))),x)),
    inference(rew,[status(thm),theory(equality)],[4047,4099]),
    [iquote('0:Rew:4047.0,4099.0')] ).

cnf(5357,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(5475,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)],[4047,4246]),
    [iquote('0:Rew:4047.0,4246.0,4047.0,4246.0,4047.0,4246.0')] ).

cnf(5477,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)],[4047,4268]),
    [iquote('0:Rew:4047.0,4268.0,4047.0,4268.0,4047.0,4268.0')] ).

cnf(5506,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)],[5477,4180,4047,4826]),
    [iquote('0:Rew:5477.0,4180.0,4047.0,4180.0,4047.0,4180.0,4826.0,4180.0,4047.0,4180.0')] ).

cnf(5511,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)],[5475,4181,4047]),
    [iquote('0:Rew:5475.0,4181.0,4047.0,4181.0,4047.0,4181.0,4047.0,4181.0')] ).

cnf(5512,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)],[5511,32]),
    [iquote('0:Rew:5511.0,32.0')] ).

cnf(5582,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)],[4047,4502,5198]),
    [iquote('0:Rew:4047.0,4502.0,5198.0,4502.0,4047.0,4502.0,4047.0,4502.0,4047.0,4502.0')] ).

cnf(5593,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,multiply(inverse(w),w))),x)),multiply(inverse(multiply(v,u)),x)),
    inference(rew,[status(thm),theory(equality)],[5111,4525,5582,4047,4826]),
    [iquote('0:Rew:5111.0,4525.0,5582.0,4525.0,4047.0,4525.0,4826.0,4525.0,4047.0,4525.0,4047.0,4525.0')] ).

cnf(5614,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(inverse(w),x))),multiply(inverse(multiply(y,v)),z)),multiply(inverse(multiply(y,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(w)),u))),x))),z)),
    inference(rew,[status(thm),theory(equality)],[4047,4080]),
    [iquote('0:Rew:4047.0,4080.0,4047.0,4080.0')] ).

cnf(5653,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),w),v))),inverse(multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(multiply(w,multiply(inverse(multiply(u,inverse(v))),inverse(x)))),multiply(inverse(y),y)))),x))),
    inference(rew,[status(thm),theory(equality)],[5204,4802]),
    [iquote('0:Rew:5204.0,4802.0')] ).

cnf(5668,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(w))),inverse(u))),multiply(inverse(inverse(inverse(x))),inverse(multiply(y,inverse(x))))))),u)),multiply(v,inverse(multiply(y,w)))),
    inference(rew,[status(thm),theory(equality)],[4813,3968]),
    [iquote('0:Rew:4813.0,3968.0')] ).

cnf(5671,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(inverse(multiply(v,inverse(inverse(w)))),inverse(u))),multiply(inverse(inverse(x)),inverse(multiply(y,x)))))),u)),multiply(v,inverse(multiply(y,inverse(w))))),
    inference(rew,[status(thm),theory(equality)],[4813,3870]),
    [iquote('0:Rew:4813.0,3870.0')] ).

cnf(5680,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)],[4035,5512]),
    [iquote('0:Rew:4035.0,5512.0')] ).

cnf(5738,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)],[4035,4072,4047,4833]),
    [iquote('0:Rew:4035.0,4072.0,4047.0,4072.0,4833.0,4072.0,4047.0,4072.0')] ).

cnf(5795,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),x))),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(u,x)),inverse(y))),w))),y))),
    inference(rew,[status(thm),theory(equality)],[5738,4798]),
    [iquote('0:Rew:5738.0,4798.0')] ).

cnf(5824,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)],[4706,4641,4047,4826,5582]),
    [iquote('0:Rew:4706.0,4641.0,4047.0,4641.0,4826.0,4641.0,5582.0,4641.0')] ).

cnf(5883,plain,
    equal(multiply(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(inverse(multiply(w,x))),multiply(u,inverse(v)))),y))),v))),multiply(multiply(multiply(inverse(x),x),inverse(y)),z)),multiply(inverse(multiply(w,x)),z)),
    inference(rew,[status(thm),theory(equality)],[4826,4713,4035,5582]),
    [iquote('0:Rew:4826.0,4713.0,4035.0,4713.0,5582.0,4713.0')] ).

cnf(5929,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)],[5111,4312,4047,4706,5824,5582,5216]),
    [iquote('0:Rew:5111.0,4312.0,4047.0,4312.0,4706.0,4312.0,5824.0,4312.0,5582.0,4312.0,5216.0,4312.0')] ).

cnf(5978,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),multiply(inverse(multiply(u,multiply(x,inverse(y)))),z)))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(multiply(inverse(multiply(x,inverse(y))),inverse(v))),w))),v)))),z),
    inference(rew,[status(thm),theory(equality)],[4707,5255]),
    [iquote('0:Rew:4707.0,5255.0')] ).

cnf(6151,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(6222,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(w),w)),multiply(inverse(v),u)),
    inference(spr,[status(thm),theory(equality)],[3853,4047]),
    [iquote('0:SpR:3853.0,4047.0')] ).

cnf(6249,plain,
    equal(multiply(multiply(inverse(u),u),v),multiply(multiply(inverse(w),w),v)),
    inference(spr,[status(thm),theory(equality)],[4062]),
    [iquote('0:SpR:4062.0,4062.0')] ).

cnf(6323,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)],[6249,5680]),
    [iquote('0:SpR:6249.0,5680.0')] ).

cnf(6380,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(w),w))),
    inference(spr,[status(thm),theory(equality)],[4399]),
    [iquote('0:SpR:4399.0,4399.0')] ).

cnf(6544,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(6664,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),w))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(inverse(y)),v))),y))),w),
    inference(spr,[status(thm),theory(equality)],[6544]),
    [iquote('0:SpR:6544.0,6544.0')] ).

cnf(6739,plain,
    equal(inverse(multiply(multiply(inverse(u),u),v)),inverse(multiply(multiply(inverse(w),w),v))),
    inference(spr,[status(thm),theory(equality)],[4705]),
    [iquote('0:SpR:4705.0,4705.0')] ).

cnf(6893,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),u))),w),
    inference(spr,[status(thm),theory(equality)],[6544,4758]),
    [iquote('0:SpR:6544.0,4758.0')] ).

cnf(6950,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)],[6739,3820]),
    [iquote('0:SpR:6739.0,3820.0')] ).

cnf(7038,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(v)),inverse(multiply(w,v))))),w),
    inference(rew,[status(thm),theory(equality)],[5357,6950,4813]),
    [iquote('0:Rew:5357.0,6950.0,5357.0,6950.0,4813.0,6950.0')] ).

cnf(7075,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)],[6893,4047]),
    [iquote('0:SpR:6893.0,4047.0')] ).

cnf(7076,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)],[6893,4047]),
    [iquote('0:SpR:6893.0,4047.0')] ).

cnf(7077,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(multiply(multiply(inverse(v),v),w),u))),multiply(multiply(multiply(inverse(x),x),inverse(multiply(inverse(inverse(y)),w))),y)),
    inference(spr,[status(thm),theory(equality)],[6544,6893]),
    [iquote('0:SpR:6544.0,6893.0')] ).

cnf(7093,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(inverse(x),x)))),w),
    inference(spr,[status(thm),theory(equality)],[6380,6893]),
    [iquote('0:SpR:6380.0,6893.0')] ).

cnf(7105,plain,
    equal(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(inverse(v),v)))),w),w),
    inference(rew,[status(thm),theory(equality)],[7075,7093]),
    [iquote('0:Rew:7075.0,7093.0')] ).

cnf(7153,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)],[3853,7038]),
    [iquote('0:SpR:3853.0,7038.0')] ).

cnf(7157,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)],[6222,7038]),
    [iquote('0:SpR:6222.0,7038.0')] ).

cnf(7159,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)],[6380,7038]),
    [iquote('0:SpR:6380.0,7038.0')] ).

cnf(7190,plain,
    equal(multiply(inverse(u),u),multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),w)))),
    inference(spr,[status(thm),theory(equality)],[7105,3853]),
    [iquote('0:SpR:7105.0,3853.0')] ).

cnf(7209,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),v),multiply(inverse(inverse(multiply(inverse(w),w))),v)),
    inference(spr,[status(thm),theory(equality)],[7105,4047]),
    [iquote('0:SpR:7105.0,4047.0')] ).

cnf(7305,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),multiply(inverse(w),w))),inverse(multiply(inverse(x),x))),
    inference(spr,[status(thm),theory(equality)],[7190,6544]),
    [iquote('0:SpR:7190.0,6544.0')] ).

cnf(7306,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),w))),
    inference(spr,[status(thm),theory(equality)],[7190,7038]),
    [iquote('0:SpR:7190.0,7038.0')] ).

cnf(7311,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(inverse(multiply(inverse(v),v)))),inverse(multiply(inverse(w),w))))),inverse(inverse(multiply(inverse(x),x)))),
    inference(spr,[status(thm),theory(equality)],[7190,7038]),
    [iquote('0:SpR:7190.0,7038.0')] ).

cnf(7337,plain,
    equal(inverse(multiply(inverse(u),u)),inverse(multiply(inverse(v),v))),
    inference(rew,[status(thm),theory(equality)],[6151,7305]),
    [iquote('0:Rew:6151.0,7305.0')] ).

cnf(7351,plain,
    equal(inverse(inverse(multiply(inverse(u),u))),inverse(inverse(multiply(inverse(v),v)))),
    inference(rew,[status(thm),theory(equality)],[7153,7311]),
    [iquote('0:Rew:7153.0,7311.0')] ).

cnf(7479,plain,
    equal(multiply(u,inverse(multiply(v,multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(w))),inverse(y))))),multiply(multiply(multiply(inverse(w),w),inverse(x)),w))))),inverse(multiply(v,y))),
    inference(spr,[status(thm),theory(equality)],[7038,4895]),
    [iquote('0:SpR:7038.0,4895.0')] ).

cnf(7855,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),w)))),inverse(multiply(x,multiply(inverse(y),y)))))),x),
    inference(spr,[status(thm),theory(equality)],[7306,7038]),
    [iquote('0:SpR:7306.0,7038.0')] ).

cnf(8206,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),multiply(inverse(multiply(u,multiply(inverse(inverse(multiply(inverse(x),x))),inverse(multiply(inverse(y),y))))),z)))),multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(inverse(v)),w))),v)))),z),
    inference(spr,[status(thm),theory(equality)],[7105,5978]),
    [iquote('0:SpR:7105.0,5978.0')] ).

cnf(8379,plain,
    equal(multiply(u,multiply(inverse(multiply(u,multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(inverse(w),w))))),x)),x),
    inference(rew,[status(thm),theory(equality)],[6664,8206]),
    [iquote('0:Rew:6664.0,8206.0')] ).

cnf(8870,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),inverse(multiply(inverse(w),w))))),v),
    inference(spr,[status(thm),theory(equality)],[6544,7153]),
    [iquote('0:SpR:6544.0,7153.0')] ).

cnf(8982,plain,
    equal(multiply(multiply(inverse(u),u),inverse(inverse(multiply(inverse(v),v)))),multiply(inverse(w),w)),
    inference(spr,[status(thm),theory(equality)],[4045,8870]),
    [iquote('0:SpR:4045.0,8870.0')] ).

cnf(9248,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)],[6222,3710]),
    [iquote('0:SpR:6222.0,3710.0')] ).

cnf(9382,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)],[6151,9248]),
    [iquote('0:Rew:6151.0,9248.0')] ).

cnf(9562,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)],[8982,7038]),
    [iquote('0:SpR:8982.0,7038.0')] ).

cnf(9578,plain,
    equal(multiply(inverse(multiply(multiply(inverse(u),u),inverse(inverse(multiply(inverse(v),v))))),w),w),
    inference(spr,[status(thm),theory(equality)],[8982,4045]),
    [iquote('0:SpR:8982.0,4045.0')] ).

cnf(9688,plain,
    equal(inverse(inverse(inverse(multiply(inverse(u),u)))),multiply(inverse(v),v)),
    inference(rew,[status(thm),theory(equality)],[8870,9562]),
    [iquote('0:Rew:8870.0,9562.0')] ).

cnf(9712,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)],[9688,6544]),
    [iquote('0:SpR:9688.0,6544.0')] ).

cnf(9743,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)],[9688,7038]),
    [iquote('0:SpR:9688.0,7038.0')] ).

cnf(9750,plain,
    equal(inverse(inverse(multiply(inverse(u),u))),inverse(inverse(inverse(inverse(inverse(multiply(inverse(v),v))))))),
    inference(spr,[status(thm),theory(equality)],[9688,7351]),
    [iquote('0:SpR:9688.0,7351.0')] ).

cnf(9752,plain,
    equal(inverse(multiply(inverse(u),u)),inverse(inverse(inverse(inverse(multiply(inverse(v),v)))))),
    inference(spr,[status(thm),theory(equality)],[9688,7337]),
    [iquote('0:SpR:9688.0,7337.0')] ).

cnf(9754,plain,
    equal(multiply(u,inverse(inverse(inverse(multiply(inverse(v),v))))),multiply(u,multiply(inverse(w),w))),
    inference(spr,[status(thm),theory(equality)],[9688,6380]),
    [iquote('0:SpR:9688.0,6380.0')] ).

cnf(9761,plain,
    equal(multiply(inverse(inverse(inverse(inverse(multiply(inverse(u),u))))),v),v),
    inference(spr,[status(thm),theory(equality)],[9688,4045]),
    [iquote('0:SpR:9688.0,4045.0')] ).

cnf(9782,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)],[9688,7209]),
    [iquote('0:SpR:9688.0,7209.0')] ).

cnf(9824,plain,
    equal(inverse(inverse(multiply(multiply(inverse(u),u),inverse(multiply(inverse(v),v))))),multiply(inverse(w),w)),
    inference(spr,[status(thm),theory(equality)],[7306,9688]),
    [iquote('0:SpR:7306.0,9688.0')] ).

cnf(9856,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(v)),inverse(inverse(multiply(inverse(w),w))))),v),
    inference(rew,[status(thm),theory(equality)],[4045,9712]),
    [iquote('0:Rew:4045.0,9712.0')] ).

cnf(9877,plain,
    equal(multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(u),u)))))))),v),v),
    inference(spr,[status(thm),theory(equality)],[9761]),
    [iquote('0:SpR:9761.0,9761.0')] ).

cnf(10037,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),w))),inverse(inverse(inverse(multiply(inverse(x),x)))))),w),
    inference(spr,[status(thm),theory(equality)],[9752,6544]),
    [iquote('0:SpR:9752.0,6544.0')] ).

cnf(11340,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(x),x))))),
    inference(spr,[status(thm),theory(equality)],[9750,6380]),
    [iquote('0:SpR:9750.0,6380.0')] ).

cnf(11341,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(w),w)))))),inverse(multiply(inverse(x),x)))),multiply(inverse(v),u)),
    inference(spr,[status(thm),theory(equality)],[9750,6222]),
    [iquote('0:SpR:9750.0,6222.0')] ).

cnf(12403,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)],[9877,9578]),
    [iquote('0:SpR:9877.0,9578.0')] ).

cnf(13778,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(inverse(inverse(multiply(inverse(y),y)))),inverse(inverse(multiply(inverse(y),y)))),inverse(multiply(inverse(multiply(inverse(x),multiply(inverse(multiply(u,inverse(v))),multiply(inverse(z),z)))),w))),inverse(inverse(multiply(inverse(y),y)))))),
    inference(spr,[status(thm),theory(equality)],[9754,4897]),
    [iquote('0:SpR:9754.0,4897.0')] ).

cnf(14127,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)],[9856,13778]),
    [iquote('0:Rew:9856.0,13778.0')] ).

cnf(14949,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)],[9824,6151]),
    [iquote('0:SpR:9824.0,6151.0')] ).

cnf(15261,plain,
    equal(multiply(multiply(inverse(u),u),v),v),
    inference(rew,[status(thm),theory(equality)],[9743,14949]),
    [iquote('0:Rew:9743.0,14949.0')] ).

cnf(15336,plain,
    equal(inverse(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(multiply(v,multiply(inverse(multiply(w,inverse(x))),inverse(u)))),multiply(inverse(y),y)))),u)),multiply(w,inverse(multiply(v,x)))),
    inference(rew,[status(thm),theory(equality)],[15261,5653]),
    [iquote('0:Rew:15261.0,5653.0')] ).

cnf(15340,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(v,u))),multiply(multiply(multiply(inverse(w),w),inverse(multiply(inverse(inverse(x)),v))),x)),
    inference(rew,[status(thm),theory(equality)],[15261,7077]),
    [iquote('0:Rew:15261.0,7077.0')] ).

cnf(15606,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)],[15261,6323]),
    [iquote('0:Rew:15261.0,6323.0')] ).

cnf(15663,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)],[15261,14127]),
    [iquote('0:Rew:15261.0,14127.0')] ).

cnf(15671,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)],[15261,5929]),
    [iquote('0:Rew:15261.0,5929.0')] ).

cnf(15717,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(w)),multiply(inverse(multiply(inverse(inverse(v)),x)),v)))),inverse(multiply(multiply(multiply(inverse(y),y),inverse(multiply(inverse(multiply(inverse(multiply(u,x)),inverse(y))),w))),y))),
    inference(rew,[status(thm),theory(equality)],[15261,5795]),
    [iquote('0:Rew:15261.0,5795.0')] ).

cnf(15726,plain,
    equal(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(multiply(inverse(v),v))),inverse(multiply(w,multiply(inverse(x),x)))))),w),
    inference(rew,[status(thm),theory(equality)],[15261,7855]),
    [iquote('0:Rew:15261.0,7855.0')] ).

cnf(15801,plain,
    equal(multiply(multiply(u,inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(v,w))),multiply(u,inverse(x)))),y)),x))),multiply(multiply(multiply(inverse(w),w),inverse(y)),z)),multiply(inverse(multiply(v,w)),z)),
    inference(rew,[status(thm),theory(equality)],[15261,5883]),
    [iquote('0:Rew:15261.0,5883.0')] ).

cnf(15823,plain,
    equal(multiply(multiply(multiply(inverse(u),u),inverse(multiply(inverse(inverse(u)),v))),u),multiply(inverse(inverse(w)),inverse(multiply(v,w)))),
    inference(rew,[status(thm),theory(equality)],[15261,4813]),
    [iquote('0:Rew:15261.0,4813.0')] ).

cnf(15869,plain,
    equal(multiply(u,inverse(multiply(v,multiply(inverse(multiply(inverse(w),multiply(inverse(multiply(u,inverse(x))),inverse(y)))),multiply(multiply(multiply(inverse(x),x),inverse(w)),x))))),inverse(multiply(v,y))),
    inference(rew,[status(thm),theory(equality)],[15261,7479]),
    [iquote('0:Rew:15261.0,7479.0')] ).

cnf(15878,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,v)),multiply(inverse(w),x))),multiply(inverse(multiply(y,v)),z)),multiply(inverse(multiply(y,multiply(inverse(multiply(inverse(inverse(w)),u)),x))),z)),
    inference(rew,[status(thm),theory(equality)],[15261,5614]),
    [iquote('0:Rew:15261.0,5614.0')] ).

cnf(15879,plain,
    equal(multiply(u,inverse(multiply(multiply(multiply(inverse(v),v),inverse(multiply(inverse(w),x))),v))),multiply(inverse(multiply(inverse(inverse(w)),inverse(multiply(u,inverse(v))))),x)),
    inference(rew,[status(thm),theory(equality)],[15261,5271]),
    [iquote('0:Rew:15261.0,5271.0')] ).

cnf(16083,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)],[15261,9382]),
    [iquote('0:Rew:15261.0,9382.0')] ).

cnf(16099,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(inverse(v)))),inverse(w))),multiply(inverse(inverse(x)),inverse(multiply(y,x))))),w)),multiply(u,inverse(multiply(y,inverse(v))))),
    inference(rew,[status(thm),theory(equality)],[15261,5671]),
    [iquote('0:Rew:15261.0,5671.0')] ).

cnf(16100,plain,
    equal(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,inverse(v))),inverse(w))),multiply(inverse(inverse(inverse(x))),inverse(multiply(y,inverse(x)))))),w)),multiply(u,inverse(multiply(y,v)))),
    inference(rew,[status(thm),theory(equality)],[15261,5668]),
    [iquote('0:Rew:15261.0,5668.0')] ).

cnf(16156,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)],[15261,7157]),
    [iquote('0:Rew:15261.0,7157.0')] ).

cnf(16157,plain,
    equal(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),inverse(multiply(v,multiply(inverse(w),w))))),v),
    inference(rew,[status(thm),theory(equality)],[15261,7159]),
    [iquote('0:Rew:15261.0,7159.0')] ).

cnf(16159,plain,
    equal(inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(u),u))),v)),inverse(inverse(inverse(multiply(inverse(w),w)))))),v),
    inference(rew,[status(thm),theory(equality)],[15261,10037]),
    [iquote('0:Rew:15261.0,10037.0')] ).

cnf(16162,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)],[15261,5216]),
    [iquote('0:Rew:15261.0,5216.0')] ).

cnf(16198,plain,
    equal(multiply(u,multiply(v,inverse(multiply(multiply(multiply(inverse(w),w),inverse(x)),w)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(u,multiply(v,inverse(w)))),inverse(y))),x)),y))),
    inference(rew,[status(thm),theory(equality)],[15261,5187]),
    [iquote('0:Rew:15261.0,5187.0')] ).

cnf(16304,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),v))),w),multiply(inverse(u),multiply(inverse(inverse(v)),w))),
    inference(rew,[status(thm),theory(equality)],[15261,7076]),
    [iquote('0:Rew:15261.0,7076.0')] ).

cnf(16305,plain,
    equal(inverse(multiply(inverse(u),inverse(inverse(multiply(inverse(v),v))))),u),
    inference(rew,[status(thm),theory(equality)],[15261,9856]),
    [iquote('0:Rew:15261.0,9856.0')] ).

cnf(16324,plain,
    equal(multiply(inverse(multiply(u,multiply(v,inverse(multiply(inverse(w),x))))),y),multiply(inverse(w),multiply(inverse(multiply(u,multiply(v,inverse(x)))),y))),
    inference(rew,[status(thm),theory(equality)],[15261,5240]),
    [iquote('0:Rew:15261.0,5240.0')] ).

cnf(16334,plain,
    equal(multiply(inverse(multiply(inverse(inverse(u)),v)),w),multiply(inverse(v),inverse(multiply(inverse(w),u)))),
    inference(rew,[status(thm),theory(equality)],[15261,7075]),
    [iquote('0:Rew:15261.0,7075.0')] ).

cnf(16448,plain,
    equal(multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(u),u)))))),v),v),
    inference(rew,[status(thm),theory(equality)],[16305,12403]),
    [iquote('0:Rew:16305.0,12403.0')] ).

cnf(16451,plain,
    equal(multiply(inverse(inverse(multiply(inverse(u),u))),v),v),
    inference(rew,[status(thm),theory(equality)],[16448,9782]),
    [iquote('0:Rew:16448.0,9782.0')] ).

cnf(16452,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(u,inverse(multiply(inverse(w),w)))),
    inference(rew,[status(thm),theory(equality)],[16448,11340]),
    [iquote('0:Rew:16448.0,11340.0')] ).

cnf(16454,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),inverse(multiply(inverse(w),w))),multiply(inverse(v),u)),
    inference(rew,[status(thm),theory(equality)],[16448,11341]),
    [iquote('0:Rew:16448.0,11341.0')] ).

cnf(16509,plain,
    equal(multiply(u,multiply(inverse(multiply(u,inverse(multiply(inverse(v),v)))),w)),w),
    inference(rew,[status(thm),theory(equality)],[16451,8379]),
    [iquote('0:Rew:16451.0,8379.0')] ).

cnf(16580,plain,
    equal(inverse(inverse(multiply(u,multiply(inverse(v),v)))),u),
    inference(rew,[status(thm),theory(equality)],[16451,16157]),
    [iquote('0:Rew:16451.0,16157.0')] ).

cnf(16582,plain,
    equal(multiply(inverse(u),multiply(inverse(inverse(u)),v)),v),
    inference(rew,[status(thm),theory(equality)],[16304,16451]),
    [iquote('0:Rew:16304.0,16451.0')] ).

cnf(16683,plain,
    equal(inverse(inverse(multiply(inverse(u),v))),inverse(multiply(inverse(v),u))),
    inference(rew,[status(thm),theory(equality)],[16582,16156,16304]),
    [iquote('0:Rew:16582.0,16156.0,16304.0,16156.0')] ).

cnf(16890,plain,
    equal(inverse(multiply(inverse(u),multiply(inverse(v),v))),u),
    inference(rew,[status(thm),theory(equality)],[16454,16159,5582,16683]),
    [iquote('0:Rew:16454.0,16159.0,5582.0,16159.0,16683.0,16159.0,16683.0,16159.0,16683.0,16159.0')] ).

cnf(16929,plain,
    equal(multiply(u,inverse(multiply(inverse(v),w))),multiply(multiply(u,inverse(w)),v)),
    inference(rew,[status(thm),theory(equality)],[16890,15671]),
    [iquote('0:Rew:16890.0,15671.0')] ).

cnf(16932,plain,
    equal(multiply(u,multiply(inverse(v),v)),multiply(multiply(u,inverse(w)),w)),
    inference(rew,[status(thm),theory(equality)],[16929,16452]),
    [iquote('0:Rew:16929.0,16452.0')] ).

cnf(16933,plain,
    equal(multiply(u,multiply(inverse(multiply(multiply(u,inverse(v)),v)),w)),w),
    inference(rew,[status(thm),theory(equality)],[16929,16509]),
    [iquote('0:Rew:16929.0,16509.0')] ).

cnf(16938,plain,
    equal(multiply(inverse(multiply(inverse(inverse(u)),v)),w),multiply(multiply(inverse(v),inverse(u)),w)),
    inference(rew,[status(thm),theory(equality)],[16929,16334]),
    [iquote('0:Rew:16929.0,16334.0')] ).

cnf(16964,plain,
    equal(multiply(inverse(multiply(multiply(inverse(u),inverse(v)),w)),x),multiply(inverse(multiply(inverse(v),w)),multiply(u,x))),
    inference(rew,[status(thm),theory(equality)],[16938,16162]),
    [iquote('0:Rew:16938.0,16162.0')] ).

cnf(16985,plain,
    equal(multiply(inverse(inverse(u)),inverse(multiply(v,u))),multiply(multiply(inverse(v),inverse(w)),w)),
    inference(rew,[status(thm),theory(equality)],[15261,15340,16929]),
    [iquote('0:Rew:15261.0,15340.0,16929.0,15340.0')] ).

cnf(16994,plain,
    equal(multiply(u,multiply(inverse(v),v)),u),
    inference(rew,[status(thm),theory(equality)],[15261,15726,16580,16929,16683]),
    [iquote('0:Rew:15261.0,15726.0,16580.0,15726.0,16929.0,15726.0,16683.0,15726.0')] ).

cnf(16996,plain,
    equal(inverse(multiply(inverse(u),v)),multiply(inverse(v),u)),
    inference(rew,[status(thm),theory(equality)],[16994,6222]),
    [iquote('0:Rew:16994.0,6222.0')] ).

cnf(16997,plain,
    equal(multiply(inverse(multiply(inverse(u),v)),w),multiply(inverse(v),multiply(u,w))),
    inference(rew,[status(thm),theory(equality)],[16994,5506]),
    [iquote('0:Rew:16994.0,5506.0')] ).

cnf(16998,plain,
    equal(inverse(inverse(u)),u),
    inference(rew,[status(thm),theory(equality)],[16994,16580]),
    [iquote('0:Rew:16994.0,16580.0')] ).

cnf(16999,plain,
    equal(multiply(multiply(u,inverse(v)),v),u),
    inference(rew,[status(thm),theory(equality)],[16994,16932]),
    [iquote('0:Rew:16994.0,16932.0')] ).

cnf(17000,plain,
    equal(multiply(inverse(u),multiply(inverse(v),w)),multiply(inverse(multiply(v,u)),w)),
    inference(rew,[status(thm),theory(equality)],[16994,5593]),
    [iquote('0:Rew:16994.0,5593.0')] ).

cnf(17005,plain,
    equal(multiply(u,inverse(multiply(v,u))),multiply(multiply(inverse(v),inverse(w)),w)),
    inference(rew,[status(thm),theory(equality)],[16998,16985]),
    [iquote('0:Rew:16998.0,16985.0')] ).

cnf(17013,plain,
    equal(multiply(u,multiply(inverse(u),v)),v),
    inference(rew,[status(thm),theory(equality)],[16999,16933]),
    [iquote('0:Rew:16999.0,16933.0')] ).

cnf(17019,plain,
    equal(multiply(multiply(inverse(u),v),multiply(inverse(multiply(w,multiply(x,v))),y)),multiply(inverse(multiply(w,multiply(x,u))),y)),
    inference(rew,[status(thm),theory(equality)],[16996,5111]),
    [iquote('0:Rew:16996.0,5111.0')] ).

cnf(17021,plain,
    equal(multiply(inverse(multiply(inverse(multiply(u,multiply(v,w))),x)),multiply(inverse(multiply(inverse(y),w)),z)),multiply(multiply(inverse(x),multiply(u,multiply(v,y))),z)),
    inference(rew,[status(thm),theory(equality)],[16996,5477]),
    [iquote('0:Rew:16996.0,5477.0')] ).

cnf(17022,plain,
    equal(multiply(multiply(inverse(u),multiply(v,multiply(w,x))),multiply(inverse(x),y)),multiply(inverse(u),multiply(v,multiply(w,y)))),
    inference(rew,[status(thm),theory(equality)],[16996,5107]),
    [iquote('0:Rew:16996.0,5107.0')] ).

cnf(17023,plain,
    equal(multiply(multiply(u,inverse(v)),w),multiply(u,multiply(inverse(v),w))),
    inference(rew,[status(thm),theory(equality)],[16996,16929]),
    [iquote('0:Rew:16996.0,16929.0')] ).

cnf(17024,plain,
    equal(multiply(inverse(multiply(multiply(inverse(u),inverse(v)),w)),x),multiply(multiply(inverse(w),v),multiply(u,x))),
    inference(rew,[status(thm),theory(equality)],[16996,16964]),
    [iquote('0:Rew:16996.0,16964.0')] ).

cnf(17034,plain,
    equal(multiply(multiply(inverse(u),v),w),multiply(inverse(u),multiply(v,w))),
    inference(rew,[status(thm),theory(equality)],[16996,16997]),
    [iquote('0:Rew:16996.0,16997.0')] ).

cnf(17036,plain,
    equal(multiply(inverse(u),multiply(u,v)),v),
    inference(rew,[status(thm),theory(equality)],[17034,15261]),
    [iquote('0:Rew:17034.0,15261.0')] ).

cnf(17038,plain,
    equal(multiply(u,inverse(multiply(v,u))),inverse(v)),
    inference(rew,[status(thm),theory(equality)],[16994,17005,17034]),
    [iquote('0:Rew:16994.0,17005.0,17034.0,17005.0')] ).

cnf(17046,plain,
    equal(multiply(inverse(u),multiply(multiply(v,w),x)),multiply(inverse(u),multiply(v,multiply(w,x)))),
    inference(rew,[status(thm),theory(equality)],[17034,17024,16996,17000]),
    [iquote('0:Rew:17034.0,17024.0,16996.0,17024.0,17000.0,17024.0,17034.0,17024.0,17034.0,17024.0')] ).

cnf(17051,plain,
    equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
    inference(rew,[status(thm),theory(equality)],[17036,15823,17034,16998,17038]),
    [iquote('0:Rew:17036.0,15823.0,17034.0,15823.0,16998.0,15823.0,17038.0,15823.0,16998.0,15823.0')] ).

cnf(17083,plain,
    equal(multiply(inverse(u),multiply(v,multiply(inverse(multiply(w,multiply(x,v))),y))),multiply(inverse(multiply(w,multiply(x,u))),y)),
    inference(rew,[status(thm),theory(equality)],[17034,17019]),
    [iquote('0:Rew:17034.0,17019.0')] ).

cnf(17084,plain,
    equal(multiply(inverse(u),multiply(v,multiply(multiply(w,x),multiply(inverse(x),y)))),multiply(inverse(u),multiply(v,multiply(w,y)))),
    inference(rew,[status(thm),theory(equality)],[17046,17022,17034]),
    [iquote('0:Rew:17046.0,17022.0,17034.0,17022.0')] ).

cnf(17104,plain,
    equal(multiply(inverse(multiply(multiply(u,multiply(v,inverse(w))),x)),y),multiply(inverse(multiply(u,multiply(v,multiply(inverse(w),x)))),y)),
    inference(rew,[status(thm),theory(equality)],[16996,16324,17000]),
    [iquote('0:Rew:16996.0,16324.0,17000.0,16324.0')] ).

cnf(17177,plain,
    equal(multiply(u,multiply(inverse(multiply(v,u)),w)),multiply(inverse(v),w)),
    inference(rew,[status(thm),theory(equality)],[16996,15606,16994,17023,17046,17034,17036,16998]),
    [iquote('0:Rew:16996.0,15606.0,16994.0,15606.0,17023.0,15606.0,17046.0,15606.0,17034.0,15606.0,17036.0,15606.0,17034.0,15606.0,16996.0,15606.0,16998.0,15606.0,16996.0,15606.0')] ).

cnf(17183,plain,
    equal(multiply(inverse(multiply(u,inverse(multiply(v,inverse(w))))),x),multiply(v,multiply(inverse(multiply(u,w)),x))),
    inference(rew,[status(thm),theory(equality)],[16996,15879,17034,17036,16998]),
    [iquote('0:Rew:16996.0,15879.0,17034.0,15879.0,17036.0,15879.0,17034.0,15879.0,16996.0,15879.0,16998.0,15879.0')] ).

cnf(17191,plain,
    equal(multiply(inverse(u),multiply(v,multiply(multiply(w,x),y))),multiply(inverse(u),multiply(v,multiply(w,multiply(x,y))))),
    inference(rew,[status(thm),theory(equality)],[17084,17021,17046,17034,16996]),
    [iquote('0:Rew:17084.0,17021.0,17046.0,17021.0,17034.0,17021.0,16996.0,17021.0,17034.0,17021.0,16996.0,17021.0,17046.0,17021.0,17034.0,17021.0')] ).

cnf(17236,plain,
    equal(multiply(inverse(multiply(u,multiply(inverse(multiply(v,w)),x))),y),multiply(inverse(x),multiply(v,multiply(w,multiply(inverse(u),y))))),
    inference(rew,[status(thm),theory(equality)],[17177,15878,17191,17046,17034,16996,17000,16998]),
    [iquote('0:Rew:17177.0,15878.0,17191.0,15878.0,17046.0,15878.0,17034.0,15878.0,16996.0,15878.0,17000.0,15878.0,16998.0,15878.0')] ).

cnf(17237,plain,
    equal(multiply(u,inverse(multiply(v,inverse(w)))),multiply(u,multiply(w,inverse(v)))),
    inference(rew,[status(thm),theory(equality)],[17036,16099,17191,17046,16996,16998,17038]),
    [iquote('0:Rew:17036.0,16099.0,17191.0,16099.0,17046.0,16099.0,16996.0,16099.0,16998.0,16099.0,16996.0,16099.0,16998.0,16099.0,17038.0,16099.0,16998.0,16099.0')] ).

cnf(17238,plain,
    equal(multiply(inverse(multiply(u,multiply(v,inverse(w)))),x),multiply(w,multiply(inverse(multiply(u,v)),x))),
    inference(rew,[status(thm),theory(equality)],[17237,17183]),
    [iquote('0:Rew:17237.0,17183.0')] ).

cnf(17241,plain,
    equal(multiply(u,multiply(inverse(v),inverse(w))),multiply(u,inverse(multiply(w,v)))),
    inference(rew,[status(thm),theory(equality)],[16998,16100,17051,17104,16996,17036,17237]),
    [iquote('0:Rew:16998.0,16100.0,17051.0,16100.0,17104.0,16100.0,16998.0,16100.0,16996.0,16100.0,17036.0,16100.0,17237.0,16100.0,16998.0,16100.0')] ).

cnf(17247,plain,
    equal(inverse(multiply(u,multiply(v,inverse(w)))),multiply(w,inverse(multiply(u,v)))),
    inference(rew,[status(thm),theory(equality)],[17051,15336,17238,17023,17036,17034,16998,16994,17241]),
    [iquote('0:Rew:17051.0,15336.0,17238.0,15336.0,17023.0,15336.0,17036.0,15336.0,17034.0,15336.0,16998.0,15336.0,16994.0,15336.0,17241.0,15336.0')] ).

cnf(17250,plain,
    equal(multiply(multiply(u,multiply(inverse(v),w)),x),multiply(u,multiply(inverse(v),multiply(w,x)))),
    inference(rew,[status(thm),theory(equality)],[16996,15663,17000,17036,17034,17247,17237,16994]),
    [iquote('0:Rew:16996.0,15663.0,17000.0,15663.0,17036.0,15663.0,17034.0,15663.0,16996.0,15663.0,17247.0,15663.0,17237.0,15663.0,16994.0,15663.0')] ).

cnf(17254,plain,
    equal(multiply(u,inverse(multiply(v,multiply(w,u)))),inverse(multiply(v,w))),
    inference(rew,[status(thm),theory(equality)],[16994,15869,17013,17250,16996,17247,17241,17036,17034]),
    [iquote('0:Rew:16994.0,15869.0,17013.0,15869.0,17250.0,15869.0,16996.0,15869.0,17247.0,15869.0,17247.0,15869.0,17241.0,15869.0,17036.0,15869.0,17034.0,15869.0')] ).

cnf(17260,plain,
    equal(multiply(multiply(u,v),multiply(inverse(w),x)),multiply(u,multiply(v,multiply(inverse(w),x)))),
    inference(rew,[status(thm),theory(equality)],[16996,16198,17036,17034,17247,17051,17023,17241]),
    [iquote('0:Rew:16996.0,16198.0,17036.0,16198.0,17034.0,16198.0,16996.0,16198.0,17247.0,16198.0,17051.0,16198.0,17023.0,16198.0,17034.0,16198.0,16996.0,16198.0,17241.0,16198.0,17023.0,16198.0,17247.0,16198.0')] ).

cnf(17293,plain,
    equal(inverse(multiply(u,inverse(v))),multiply(v,inverse(u))),
    inference(rew,[status(thm),theory(equality)],[17036,16083,17046,17237,17254,17034,16996,17051,17000,17260,16998]),
    [iquote('0:Rew:17036.0,16083.0,17046.0,16083.0,17237.0,16083.0,17254.0,16083.0,17034.0,16083.0,16996.0,16083.0,17051.0,16083.0,17036.0,16083.0,17034.0,16083.0,17000.0,16083.0,17260.0,16083.0,17260.0,16083.0,16998.0,16083.0,16996.0,16083.0')] ).

cnf(17331,plain,
    equal(multiply(u,multiply(inverse(multiply(v,multiply(w,u))),x)),multiply(inverse(multiply(v,w)),x)),
    inference(rew,[status(thm),theory(equality)],[17013,15801,17260,16996,17046,16994,17236,17023,17247,16998,17036,17034]),
    [iquote('0:Rew:17013.0,15801.0,17260.0,15801.0,17260.0,15801.0,16996.0,15801.0,17046.0,15801.0,16994.0,15801.0,17236.0,15801.0,17023.0,15801.0,17247.0,15801.0,16998.0,15801.0,17036.0,15801.0,17034.0,15801.0')] ).

cnf(17333,plain,
    equal(multiply(inverse(u),multiply(inverse(multiply(v,w)),x)),multiply(inverse(multiply(v,multiply(w,u))),x)),
    inference(rew,[status(thm),theory(equality)],[17331,17083]),
    [iquote('0:Rew:17331.0,17083.0')] ).

cnf(17335,plain,
    equal(multiply(inverse(multiply(multiply(u,v),w)),x),multiply(inverse(multiply(u,multiply(v,w))),x)),
    inference(rew,[status(thm),theory(equality)],[17000,17333]),
    [iquote('0:Rew:17000.0,17333.0')] ).

cnf(17436,plain,
    equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
    inference(rew,[status(thm),theory(equality)],[16998,15717,17293,17036,17034,17051,17335]),
    [iquote('0:Rew:16998.0,15717.0,17293.0,15717.0,17036.0,15717.0,17034.0,15717.0,17051.0,15717.0,16998.0,15717.0,16998.0,15717.0,17051.0,15717.0,17335.0,15717.0,17036.0,15717.0,17034.0,15717.0,16998.0,15717.0,17293.0,15717.0')] ).

cnf(17437,plain,
    $false,
    inference(unc,[status(thm)],[17436,2]),
    [iquote('0:UnC:17436.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GRP414-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n003.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 : Tue Jun 14 13:20:55 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 26.10/26.32  
% 26.10/26.32  SPASS V 3.9 
% 26.10/26.32  SPASS beiseite: Proof found.
% 26.10/26.32  % SZS status Theorem
% 26.10/26.32  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 26.10/26.32  SPASS derived 12391 clauses, backtracked 0 clauses, performed 0 splits and kept 2942 clauses.
% 26.10/26.32  SPASS allocated 118073 KBytes.
% 26.10/26.32  SPASS spent	0:0:25.96 on the problem.
% 26.10/26.32  		0:00:00.03 for the input.
% 26.10/26.32  		0:00:00.00 for the FLOTTER CNF translation.
% 26.10/26.32  		0:00:00.16 for inferences.
% 26.10/26.32  		0:00:00.00 for the backtracking.
% 26.10/26.32  		0:0:25.74 for the reduction.
% 26.10/26.32  
% 26.10/26.32  
% 26.10/26.32  Here is a proof with depth 19, length 291 :
% 26.10/26.32  % SZS output start Refutation
% See solution above
% 26.42/26.65  Formulae used in the proof : single_axiom prove_these_axioms_3
% 26.42/26.65  
%------------------------------------------------------------------------------