SPASS---3.9.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CAT001-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n019.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 : Fri Jul 15 00:07:25 EDT 2022

% Result   : Satisfiable 7.58s 7.76s
% Output   : Saturation 7.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 23513)

% Comments : 
%------------------------------------------------------------------------------
cnf(23524,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(compose(compose(a,b),compose(a,b))),domain__dfg(a),compose(compose(a,b),compose(a,b)),compose(compose(domain__dfg(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b))),compose(compose(domain__dfg(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b))),compose(compose(domain__dfg(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,23513]),
    [iquote('0:Rew:2.0,23513.0')] ).

cnf(21145,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(compose(compose(a,b),compose(a,h))),domain__dfg(a),compose(compose(a,b),compose(a,h)),compose(compose(domain__dfg(compose(compose(a,b),compose(a,h))),compose(a,b)),compose(a,h))),compose(compose(domain__dfg(compose(compose(a,b),compose(a,h))),compose(a,b)),compose(a,h))),compose(compose(domain__dfg(compose(compose(a,b),compose(a,h))),compose(a,b)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[353,21129]),
    [iquote('0:Rew:353.0,21129.0')] ).

cnf(20944,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(compose(a,h),compose(a,h))),domain__dfg(a),compose(compose(a,h),compose(a,h)),compose(compose(domain__dfg(compose(compose(a,h),compose(a,h))),compose(a,h)),compose(a,h))),compose(compose(domain__dfg(compose(compose(a,h),compose(a,h))),compose(a,h)),compose(a,h))),compose(compose(domain__dfg(compose(compose(a,h),compose(a,h))),compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3795]),
    [iquote('0:SpR:125.0,3795.0')] ).

cnf(20945,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(compose(a,h),compose(a,b))),domain__dfg(a),compose(compose(a,h),compose(a,b)),compose(compose(domain__dfg(compose(compose(a,h),compose(a,b))),compose(a,h)),compose(a,b))),compose(compose(domain__dfg(compose(compose(a,h),compose(a,b))),compose(a,h)),compose(a,b))),compose(compose(domain__dfg(compose(compose(a,h),compose(a,b))),compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3795]),
    [iquote('0:SpR:353.0,3795.0')] ).

cnf(20791,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(compose(codomain(u),compose(a,h))),codomain(u),compose(codomain(u),compose(a,h)),compose(compose(domain__dfg(compose(codomain(u),compose(a,h))),codomain(u)),compose(a,h))),compose(compose(domain__dfg(compose(codomain(u),compose(a,h))),codomain(u)),compose(a,h))),compose(compose(domain__dfg(compose(codomain(u),compose(a,h))),codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3774]),
    [iquote('0:SpR:125.0,3774.0')] ).

cnf(20792,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(compose(codomain(u),compose(a,b))),codomain(u),compose(codomain(u),compose(a,b)),compose(compose(domain__dfg(compose(codomain(u),compose(a,b))),codomain(u)),compose(a,b))),compose(compose(domain__dfg(compose(codomain(u),compose(a,b))),codomain(u)),compose(a,b))),compose(compose(domain__dfg(compose(codomain(u),compose(a,b))),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3774]),
    [iquote('0:SpR:353.0,3774.0')] ).

cnf(20365,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(compose(domain__dfg(u),compose(a,b))),domain__dfg(u),compose(domain__dfg(u),compose(a,b)),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,b))),domain__dfg(u)),compose(a,b))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,b))),domain__dfg(u)),compose(a,b))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,b))),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3505]),
    [iquote('0:SpR:353.0,3505.0')] ).

cnf(19606,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(compose(domain__dfg(u),compose(a,h))),domain__dfg(u),compose(domain__dfg(u),compose(a,h)),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,h))),domain__dfg(u)),compose(a,h))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,h))),domain__dfg(u)),compose(a,h))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(a,h))),domain__dfg(u)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[2,19578]),
    [iquote('0:Rew:2.0,19578.0')] ).

cnf(20609,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(compose(a,h),domain__dfg(u))),domain__dfg(a),compose(compose(a,h),domain__dfg(u)),compose(compose(domain__dfg(compose(compose(a,h),domain__dfg(u))),compose(a,h)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(a,h),domain__dfg(u))),compose(a,h)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(a,h),domain__dfg(u))),compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,20587]),
    [iquote('0:Rew:125.0,20587.0')] ).

cnf(20608,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(a,b),domain__dfg(u))),domain__dfg(a),compose(compose(a,b),domain__dfg(u)),compose(compose(domain__dfg(compose(compose(a,b),domain__dfg(u))),compose(a,b)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(a,b),domain__dfg(u))),compose(a,b)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(a,b),domain__dfg(u))),compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,20588]),
    [iquote('0:Rew:353.0,20588.0')] ).

cnf(20162,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(compose(compose(a,b),codomain(u))),domain__dfg(a),compose(compose(a,b),codomain(u)),compose(compose(domain__dfg(compose(compose(a,b),codomain(u))),compose(a,b)),codomain(u))),compose(compose(domain__dfg(compose(compose(a,b),codomain(u))),compose(a,b)),codomain(u))),compose(compose(domain__dfg(compose(compose(a,b),codomain(u))),compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,20129]),
    [iquote('0:Rew:353.0,20129.0')] ).

cnf(18960,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(compose(compose(a,h),codomain(u))),domain__dfg(a),compose(compose(a,h),codomain(u)),compose(compose(domain__dfg(compose(compose(a,h),codomain(u))),compose(a,h)),codomain(u))),compose(compose(domain__dfg(compose(compose(a,h),codomain(u))),compose(a,h)),codomain(u))),compose(compose(domain__dfg(compose(compose(a,h),codomain(u))),compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,18940]),
    [iquote('0:Rew:2.0,18940.0')] ).

cnf(18003,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(compose(codomain(u),domain__dfg(v))),codomain(u),compose(codomain(u),domain__dfg(v)),compose(compose(domain__dfg(compose(codomain(u),domain__dfg(v))),codomain(u)),domain__dfg(v))),compose(compose(domain__dfg(compose(codomain(u),domain__dfg(v))),codomain(u)),domain__dfg(v))),compose(compose(domain__dfg(compose(codomain(u),domain__dfg(v))),codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[2,17964]),
    [iquote('0:Rew:2.0,17964.0')] ).

cnf(17701,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(u),compose(domain__dfg(u),domain__dfg(v)),compose(compose(domain__dfg(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(u)),domain__dfg(v))),compose(compose(domain__dfg(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(u)),domain__dfg(v))),compose(compose(domain__dfg(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[2,17667]),
    [iquote('0:Rew:2.0,17667.0')] ).

cnf(17159,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(compose(domain__dfg(u),codomain(v))),domain__dfg(u),compose(domain__dfg(u),codomain(v)),compose(compose(domain__dfg(compose(domain__dfg(u),codomain(v))),domain__dfg(u)),codomain(v))),compose(compose(domain__dfg(compose(domain__dfg(u),codomain(v))),domain__dfg(u)),codomain(v))),compose(compose(domain__dfg(compose(domain__dfg(u),codomain(v))),domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[2,17126]),
    [iquote('0:Rew:2.0,17126.0')] ).

cnf(16810,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(compose(codomain(u),codomain(v))),codomain(u),compose(codomain(u),codomain(v)),compose(compose(domain__dfg(compose(codomain(u),codomain(v))),codomain(u)),codomain(v))),compose(compose(domain__dfg(compose(codomain(u),codomain(v))),codomain(u)),codomain(v))),compose(compose(domain__dfg(compose(codomain(u),codomain(v))),codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[2,16768]),
    [iquote('0:Rew:2.0,16768.0')] ).

cnf(3723,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(compose(u,compose(a,b))),domain__dfg(u),compose(u,compose(a,b)),compose(compose(domain__dfg(compose(u,compose(a,b))),u),compose(a,b))),compose(compose(domain__dfg(compose(u,compose(a,b))),u),compose(a,b))),compose(compose(domain__dfg(compose(u,compose(a,b))),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,264]),
    [iquote('0:SpR:353.0,264.0')] ).

cnf(14340,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(g,compose(a,h))),domain__dfg(b),compose(g,compose(a,h)),compose(compose(domain__dfg(compose(g,compose(a,h))),g),compose(a,h))),compose(compose(domain__dfg(compose(g,compose(a,h))),g),compose(a,h))),compose(compose(domain__dfg(compose(g,compose(a,h))),g),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[2,14326]),
    [iquote('0:Rew:2.0,14326.0')] ).

cnf(14318,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(g,compose(a,b))),domain__dfg(b),compose(g,compose(a,b)),compose(compose(domain__dfg(compose(g,compose(a,b))),g),compose(a,b))),compose(compose(domain__dfg(compose(g,compose(a,b))),g),compose(a,b))),compose(compose(domain__dfg(compose(g,compose(a,b))),g),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,14304]),
    [iquote('0:Rew:2.0,14304.0')] ).

cnf(14240,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(compose(compose(a,b),h)),domain__dfg(a),compose(compose(a,b),h),compose(compose(domain__dfg(compose(compose(a,b),h)),compose(a,b)),h)),compose(compose(domain__dfg(compose(compose(a,b),h)),compose(a,b)),h)),compose(compose(domain__dfg(compose(compose(a,b),h)),compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[2,14229]),
    [iquote('0:Rew:2.0,14229.0')] ).

cnf(3794,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(a,b),u)),domain__dfg(a),compose(compose(a,b),u),compose(compose(domain__dfg(compose(compose(a,b),u)),compose(a,b)),u)),compose(compose(domain__dfg(compose(compose(a,b),u)),compose(a,b)),u)),compose(compose(domain__dfg(compose(compose(a,b),u)),compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[353,3728]),
    [iquote('0:Rew:353.0,3728.0')] ).

cnf(14223,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(compose(compose(a,b),g)),domain__dfg(a),compose(compose(a,b),g),compose(compose(domain__dfg(compose(compose(a,b),g)),compose(a,b)),g)),compose(compose(domain__dfg(compose(compose(a,b),g)),compose(a,b)),g)),compose(compose(domain__dfg(compose(compose(a,b),g)),compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[2,14212]),
    [iquote('0:Rew:2.0,14212.0')] ).

cnf(14155,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(h,compose(a,b))),domain__dfg(b),compose(h,compose(a,b)),compose(compose(domain__dfg(compose(h,compose(a,b))),h),compose(a,b))),compose(compose(domain__dfg(compose(h,compose(a,b))),h),compose(a,b))),compose(compose(domain__dfg(compose(h,compose(a,b))),h),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,14143]),
    [iquote('0:Rew:2.0,14143.0')] ).

cnf(14114,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(compose(a,compose(a,b))),domain__dfg(a),compose(a,compose(a,b)),compose(compose(domain__dfg(compose(a,compose(a,b))),a),compose(a,b))),compose(compose(domain__dfg(compose(a,compose(a,b))),a),compose(a,b))),compose(compose(domain__dfg(compose(a,compose(a,b))),a),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,14105]),
    [iquote('0:Rew:2.0,14105.0')] ).

cnf(13871,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(compose(a,h),h)),domain__dfg(a),compose(compose(a,h),h),compose(compose(domain__dfg(compose(compose(a,h),h)),compose(a,h)),h)),compose(compose(domain__dfg(compose(compose(a,h),h)),compose(a,h)),h)),compose(compose(domain__dfg(compose(compose(a,h),h)),compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[2,13860]),
    [iquote('0:Rew:2.0,13860.0')] ).

cnf(13850,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(compose(a,h),g)),domain__dfg(a),compose(compose(a,h),g),compose(compose(domain__dfg(compose(compose(a,h),g)),compose(a,h)),g)),compose(compose(domain__dfg(compose(compose(a,h),g)),compose(a,h)),g)),compose(compose(domain__dfg(compose(compose(a,h),g)),compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[2,13839]),
    [iquote('0:Rew:2.0,13839.0')] ).

cnf(23517,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),compose(a,b))),compose(compose(compose(a,h),compose(a,b)),compose(a,b))),compose(compose(compose(a,h),compose(a,b)),compose(a,b))),compose(compose(compose(a,h),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[145,14727]),
    [iquote('0:SpR:145.0,14727.0')] ).

cnf(23518,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),compose(a,b))),compose(compose(compose(a,b),compose(a,b)),compose(a,b))),compose(compose(compose(a,b),compose(a,b)),compose(a,b))),compose(compose(compose(a,b),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,14727]),
    [iquote('0:SpR:456.0,14727.0')] ).

cnf(23500,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),compose(a,h))),compose(compose(compose(a,h),compose(a,b)),compose(a,h))),compose(compose(compose(a,h),compose(a,b)),compose(a,h))),compose(compose(compose(a,h),compose(a,b)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,14589]),
    [iquote('0:SpR:145.0,14589.0')] ).

cnf(23501,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),compose(a,h))),compose(compose(compose(a,b),compose(a,b)),compose(a,h))),compose(compose(compose(a,b),compose(a,b)),compose(a,h))),compose(compose(compose(a,b),compose(a,b)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,14589]),
    [iquote('0:SpR:456.0,14589.0')] ).

cnf(13812,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(compose(h,compose(a,h))),domain__dfg(b),compose(h,compose(a,h)),compose(compose(domain__dfg(compose(h,compose(a,h))),h),compose(a,h))),compose(compose(domain__dfg(compose(h,compose(a,h))),h),compose(a,h))),compose(compose(domain__dfg(compose(h,compose(a,h))),h),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[2,13800]),
    [iquote('0:Rew:2.0,13800.0')] ).

cnf(23453,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),compose(a,h))),compose(compose(compose(a,h),compose(a,h)),compose(a,h))),compose(compose(compose(a,h),compose(a,h)),compose(a,h))),compose(compose(compose(a,h),compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,14391]),
    [iquote('0:SpR:145.0,14391.0')] ).

cnf(23454,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),compose(a,h))),compose(compose(compose(a,b),compose(a,h)),compose(a,h))),compose(compose(compose(a,b),compose(a,h)),compose(a,h))),compose(compose(compose(a,b),compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,14391]),
    [iquote('0:SpR:456.0,14391.0')] ).

cnf(23427,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),compose(a,b))),compose(compose(compose(a,h),compose(a,h)),compose(a,b))),compose(compose(compose(a,h),compose(a,h)),compose(a,b))),compose(compose(compose(a,h),compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[145,14392]),
    [iquote('0:SpR:145.0,14392.0')] ).

cnf(23428,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),compose(a,b))),compose(compose(compose(a,b),compose(a,h)),compose(a,b))),compose(compose(compose(a,b),compose(a,h)),compose(a,b))),compose(compose(compose(a,b),compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,14392]),
    [iquote('0:SpR:456.0,14392.0')] ).

cnf(13763,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(compose(a,compose(a,h))),domain__dfg(a),compose(a,compose(a,h)),compose(compose(domain__dfg(compose(a,compose(a,h))),a),compose(a,h))),compose(compose(domain__dfg(compose(a,compose(a,h))),a),compose(a,h))),compose(compose(domain__dfg(compose(a,compose(a,h))),a),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[2,13754]),
    [iquote('0:Rew:2.0,13754.0')] ).

cnf(18477,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(a,b),compose(a,b))),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),codomain(compose(compose(a,b),compose(a,b))))),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,2087]),
    [iquote('0:SpR:456.0,2087.0')] ).

cnf(18454,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(a,h),compose(a,b))),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),codomain(compose(compose(a,h),compose(a,b))))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,18438]),
    [iquote('0:Rew:353.0,18438.0')] ).

cnf(18402,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,h),compose(a,h))),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),codomain(compose(compose(a,h),compose(a,h))))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,2088]),
    [iquote('0:SpR:145.0,2088.0')] ).

cnf(22448,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),compose(a,h))),compose(compose(compose(a,h),codomain(u)),compose(a,h))),compose(compose(compose(a,h),codomain(u)),compose(a,h))),compose(compose(compose(a,h),codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,12327]),
    [iquote('0:SpR:145.0,12327.0')] ).

cnf(18403,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,b),compose(a,h))),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),codomain(compose(compose(a,b),compose(a,h))))),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,2088]),
    [iquote('0:SpR:456.0,2088.0')] ).

cnf(22449,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),compose(a,h))),compose(compose(compose(a,b),codomain(u)),compose(a,h))),compose(compose(compose(a,b),codomain(u)),compose(a,h))),compose(compose(compose(a,b),codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,12327]),
    [iquote('0:SpR:456.0,12327.0')] ).

cnf(22383,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),compose(a,b))),compose(compose(compose(a,h),codomain(u)),compose(a,b))),compose(compose(compose(a,h),codomain(u)),compose(a,b))),compose(compose(compose(a,h),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[145,12328]),
    [iquote('0:SpR:145.0,12328.0')] ).

cnf(22384,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),compose(a,b))),compose(compose(compose(a,b),codomain(u)),compose(a,b))),compose(compose(compose(a,b),codomain(u)),compose(a,b))),compose(compose(compose(a,b),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,12328]),
    [iquote('0:SpR:456.0,12328.0')] ).

cnf(22027,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),compose(a,b))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,b))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,b))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,3482]),
    [iquote('0:SpR:456.0,3482.0')] ).

cnf(19769,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),compose(a,b))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,b))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,b))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3474]),
    [iquote('0:SpR:353.0,3474.0')] ).

cnf(21829,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,h),compose(a,h))),compose(compose(codomain(u),compose(a,h)),compose(a,h))),compose(compose(codomain(u),compose(a,h)),compose(a,h))),compose(compose(codomain(u),compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,12267]),
    [iquote('0:SpR:125.0,12267.0')] ).

cnf(21830,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,h),compose(a,b))),compose(compose(codomain(u),compose(a,h)),compose(a,b))),compose(compose(codomain(u),compose(a,h)),compose(a,b))),compose(compose(codomain(u),compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,12267]),
    [iquote('0:SpR:353.0,12267.0')] ).

cnf(21790,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),compose(a,h))),compose(compose(codomain(u),compose(a,b)),compose(a,h))),compose(compose(codomain(u),compose(a,b)),compose(a,h))),compose(compose(codomain(u),compose(a,b)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,12266]),
    [iquote('0:SpR:125.0,12266.0')] ).

cnf(21791,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),compose(a,b))),compose(compose(codomain(u),compose(a,b)),compose(a,b))),compose(compose(codomain(u),compose(a,b)),compose(a,b))),compose(compose(codomain(u),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,12266]),
    [iquote('0:SpR:353.0,12266.0')] ).

cnf(19588,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),compose(a,h))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,h))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,h))),compose(compose(compose(a,h),domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,3481]),
    [iquote('0:SpR:145.0,3481.0')] ).

cnf(21743,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),domain__dfg(u))),compose(compose(compose(a,h),compose(a,h)),domain__dfg(u))),compose(compose(compose(a,h),compose(a,h)),domain__dfg(u))),compose(compose(compose(a,h),compose(a,h)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,12175]),
    [iquote('0:SpR:145.0,12175.0')] ).

cnf(21744,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),domain__dfg(u))),compose(compose(compose(a,b),compose(a,h)),domain__dfg(u))),compose(compose(compose(a,b),compose(a,h)),domain__dfg(u))),compose(compose(compose(a,b),compose(a,h)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,12175]),
    [iquote('0:SpR:456.0,12175.0')] ).

cnf(21702,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),domain__dfg(u))),compose(compose(compose(a,h),compose(a,b)),domain__dfg(u))),compose(compose(compose(a,h),compose(a,b)),domain__dfg(u))),compose(compose(compose(a,h),compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,12174]),
    [iquote('0:SpR:145.0,12174.0')] ).

cnf(21703,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),domain__dfg(u))),compose(compose(compose(a,b),compose(a,b)),domain__dfg(u))),compose(compose(compose(a,b),compose(a,b)),domain__dfg(u))),compose(compose(compose(a,b),compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,12174]),
    [iquote('0:SpR:456.0,12174.0')] ).

cnf(19589,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),compose(a,h))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,h))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,h))),compose(compose(compose(a,b),domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,3481]),
    [iquote('0:SpR:456.0,3481.0')] ).

cnf(21665,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),compose(a,b))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,b))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,b))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3313]),
    [iquote('0:SpR:353.0,3313.0')] ).

cnf(21527,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),codomain(u))),compose(compose(compose(a,b),compose(a,b)),codomain(u))),compose(compose(compose(a,b),compose(a,b)),codomain(u))),compose(compose(compose(a,b),compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,3121]),
    [iquote('0:SpR:456.0,3121.0')] ).

cnf(19433,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),compose(a,h))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,h))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,h))),compose(compose(domain__dfg(u),compose(a,b)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[353,19409]),
    [iquote('0:Rew:353.0,19409.0')] ).

cnf(19238,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),codomain(u))),compose(compose(compose(a,h),compose(a,b)),codomain(u))),compose(compose(compose(a,h),compose(a,b)),codomain(u))),compose(compose(compose(a,h),compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,19219]),
    [iquote('0:Rew:353.0,19219.0')] ).

cnf(19048,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,h),compose(a,h))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,h))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,h))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3314]),
    [iquote('0:SpR:125.0,3314.0')] ).

cnf(19049,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,h),compose(a,b))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,b))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,b))),compose(compose(domain__dfg(u),compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3314]),
    [iquote('0:SpR:353.0,3314.0')] ).

cnf(18944,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),codomain(u))),compose(compose(compose(a,h),compose(a,h)),codomain(u))),compose(compose(compose(a,h),compose(a,h)),codomain(u))),compose(compose(compose(a,h),compose(a,h)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,3122]),
    [iquote('0:SpR:145.0,3122.0')] ).

cnf(18945,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),codomain(u))),compose(compose(compose(a,b),compose(a,h)),codomain(u))),compose(compose(compose(a,b),compose(a,h)),codomain(u))),compose(compose(compose(a,b),compose(a,h)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,3122]),
    [iquote('0:SpR:456.0,3122.0')] ).

cnf(11557,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(compose(domain__dfg(u),h)),domain__dfg(u),compose(domain__dfg(u),h),compose(compose(domain__dfg(compose(domain__dfg(u),h)),domain__dfg(u)),h)),compose(compose(domain__dfg(compose(domain__dfg(u),h)),domain__dfg(u)),h)),compose(compose(domain__dfg(compose(domain__dfg(u),h)),domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[2,11529]),
    [iquote('0:Rew:2.0,11529.0')] ).

cnf(11500,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(compose(codomain(u),h)),codomain(u),compose(codomain(u),h),compose(compose(domain__dfg(compose(codomain(u),h)),codomain(u)),h)),compose(compose(domain__dfg(compose(codomain(u),h)),codomain(u)),h)),compose(compose(domain__dfg(compose(codomain(u),h)),codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[2,11467]),
    [iquote('0:Rew:2.0,11467.0')] ).

cnf(11286,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u),compose(domain__dfg(u),g),compose(compose(domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u)),g)),compose(compose(domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u)),g)),compose(compose(domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[2,11258]),
    [iquote('0:Rew:2.0,11258.0')] ).

cnf(11229,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(compose(codomain(u),g)),codomain(u),compose(codomain(u),g),compose(compose(domain__dfg(compose(codomain(u),g)),codomain(u)),g)),compose(compose(domain__dfg(compose(codomain(u),g)),codomain(u)),g)),compose(compose(domain__dfg(compose(codomain(u),g)),codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[2,11196]),
    [iquote('0:Rew:2.0,11196.0')] ).

cnf(11040,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(g,domain__dfg(u))),domain__dfg(b),compose(g,domain__dfg(u)),compose(compose(domain__dfg(compose(g,domain__dfg(u))),g),domain__dfg(u))),compose(compose(domain__dfg(compose(g,domain__dfg(u))),g),domain__dfg(u))),compose(compose(domain__dfg(compose(g,domain__dfg(u))),g),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[2,11020]),
    [iquote('0:Rew:2.0,11020.0')] ).

cnf(10944,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(compose(g,codomain(u))),domain__dfg(b),compose(g,codomain(u)),compose(compose(domain__dfg(compose(g,codomain(u))),g),codomain(u))),compose(compose(domain__dfg(compose(g,codomain(u))),g),codomain(u))),compose(compose(domain__dfg(compose(g,codomain(u))),g),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,10921]),
    [iquote('0:Rew:2.0,10921.0')] ).

cnf(10496,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(compose(h,codomain(u))),domain__dfg(b),compose(h,codomain(u)),compose(compose(domain__dfg(compose(h,codomain(u))),h),codomain(u))),compose(compose(domain__dfg(compose(h,codomain(u))),h),codomain(u))),compose(compose(domain__dfg(compose(h,codomain(u))),h),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,10474]),
    [iquote('0:Rew:2.0,10474.0')] ).

cnf(10308,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(h,domain__dfg(u))),domain__dfg(b),compose(h,domain__dfg(u)),compose(compose(domain__dfg(compose(h,domain__dfg(u))),h),domain__dfg(u))),compose(compose(domain__dfg(compose(h,domain__dfg(u))),h),domain__dfg(u))),compose(compose(domain__dfg(compose(h,domain__dfg(u))),h),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[2,10290]),
    [iquote('0:Rew:2.0,10290.0')] ).

cnf(9803,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(compose(a,codomain(u))),domain__dfg(a),compose(a,codomain(u)),compose(compose(domain__dfg(compose(a,codomain(u))),a),codomain(u))),compose(compose(domain__dfg(compose(a,codomain(u))),a),codomain(u))),compose(compose(domain__dfg(compose(a,codomain(u))),a),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,9787]),
    [iquote('0:Rew:2.0,9787.0')] ).

cnf(9698,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(a,domain__dfg(u))),domain__dfg(a),compose(a,domain__dfg(u)),compose(compose(domain__dfg(compose(a,domain__dfg(u))),a),domain__dfg(u))),compose(compose(domain__dfg(compose(a,domain__dfg(u))),a),domain__dfg(u))),compose(compose(domain__dfg(compose(a,domain__dfg(u))),a),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[2,9681]),
    [iquote('0:Rew:2.0,9681.0')] ).

cnf(13227,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(compose(a,h),domain__dfg(u))),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),codomain(compose(compose(a,h),domain__dfg(u))))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,2068]),
    [iquote('0:SpR:145.0,2068.0')] ).

cnf(13228,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(compose(a,b),domain__dfg(u))),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),codomain(compose(compose(a,b),domain__dfg(u))))),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,2068]),
    [iquote('0:SpR:456.0,2068.0')] ).

cnf(12953,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(a,h),codomain(u))),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),codomain(compose(compose(a,h),codomain(u))))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,2067]),
    [iquote('0:SpR:145.0,2067.0')] ).

cnf(12954,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(a,b),codomain(u))),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),codomain(compose(compose(a,b),codomain(u))))),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,2067]),
    [iquote('0:SpR:456.0,2067.0')] ).

cnf(12746,plain,
    equal(ifeq(codomain(h),codomain(compose(domain__dfg(u),compose(a,h))),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,h),codomain(compose(domain__dfg(u),compose(a,h))))),compose(domain__dfg(u),compose(a,h))),compose(domain__dfg(u),compose(a,h))),compose(domain__dfg(u),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[125,12707]),
    [iquote('0:Rew:125.0,12707.0')] ).

cnf(12745,plain,
    equal(ifeq(codomain(b),codomain(compose(domain__dfg(u),compose(a,b))),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),codomain(compose(domain__dfg(u),compose(a,b))))),compose(domain__dfg(u),compose(a,b))),compose(domain__dfg(u),compose(a,b))),compose(domain__dfg(u),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,12708]),
    [iquote('0:Rew:353.0,12708.0')] ).

cnf(12493,plain,
    equal(ifeq(codomain(h),codomain(compose(codomain(u),compose(a,h))),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,h),codomain(compose(codomain(u),compose(a,h))))),compose(codomain(u),compose(a,h))),compose(codomain(u),compose(a,h))),compose(codomain(u),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[125,12475]),
    [iquote('0:Rew:125.0,12475.0')] ).

cnf(18066,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),compose(a,h))),compose(compose(codomain(v),codomain(u)),compose(a,h))),compose(compose(codomain(v),codomain(u)),compose(a,h))),compose(compose(codomain(v),codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,12260]),
    [iquote('0:SpR:125.0,12260.0')] ).

cnf(18067,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),compose(a,b))),compose(compose(codomain(v),codomain(u)),compose(a,b))),compose(compose(codomain(v),codomain(u)),compose(a,b))),compose(compose(codomain(v),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,12260]),
    [iquote('0:SpR:353.0,12260.0')] ).

cnf(17974,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),domain__dfg(v))),compose(compose(compose(a,h),codomain(u)),domain__dfg(v))),compose(compose(compose(a,h),codomain(u)),domain__dfg(v))),compose(compose(compose(a,h),codomain(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[145,12161]),
    [iquote('0:SpR:145.0,12161.0')] ).

cnf(17975,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),domain__dfg(v))),compose(compose(compose(a,b),codomain(u)),domain__dfg(v))),compose(compose(compose(a,b),codomain(u)),domain__dfg(v))),compose(compose(compose(a,b),codomain(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[456,12161]),
    [iquote('0:SpR:456.0,12161.0')] ).

cnf(12492,plain,
    equal(ifeq(codomain(b),codomain(compose(codomain(u),compose(a,b))),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),codomain(compose(codomain(u),compose(a,b))))),compose(codomain(u),compose(a,b))),compose(codomain(u),compose(a,b))),compose(codomain(u),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,12476]),
    [iquote('0:Rew:353.0,12476.0')] ).

cnf(17765,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),compose(a,h))),compose(compose(codomain(v),domain__dfg(u)),compose(a,h))),compose(compose(codomain(v),domain__dfg(u)),compose(a,h))),compose(compose(codomain(v),domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3473]),
    [iquote('0:SpR:125.0,3473.0')] ).

cnf(17766,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),compose(a,b))),compose(compose(codomain(v),domain__dfg(u)),compose(a,b))),compose(compose(codomain(v),domain__dfg(u)),compose(a,b))),compose(compose(codomain(v),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3473]),
    [iquote('0:SpR:353.0,3473.0')] ).

cnf(17677,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),domain__dfg(v))),compose(compose(compose(a,h),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(a,h),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(a,h),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[145,3480]),
    [iquote('0:SpR:145.0,3480.0')] ).

cnf(17678,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),domain__dfg(v))),compose(compose(compose(a,b),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(a,b),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(a,b),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[456,3480]),
    [iquote('0:SpR:456.0,3480.0')] ).

cnf(17598,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),compose(a,h))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,h))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,h))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3308]),
    [iquote('0:SpR:125.0,3308.0')] ).

cnf(17599,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),compose(a,b))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,b))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,b))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3308]),
    [iquote('0:SpR:353.0,3308.0')] ).

cnf(17513,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),compose(a,h))),compose(compose(domain__dfg(v),codomain(u)),compose(a,h))),compose(compose(domain__dfg(v),codomain(u)),compose(a,h))),compose(compose(domain__dfg(v),codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3307]),
    [iquote('0:SpR:125.0,3307.0')] ).

cnf(17514,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),compose(a,b))),compose(compose(domain__dfg(v),codomain(u)),compose(a,b))),compose(compose(domain__dfg(v),codomain(u)),compose(a,b))),compose(compose(domain__dfg(v),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3307]),
    [iquote('0:SpR:353.0,3307.0')] ).

cnf(17136,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),codomain(v))),compose(compose(compose(a,h),domain__dfg(u)),codomain(v))),compose(compose(compose(a,h),domain__dfg(u)),codomain(v))),compose(compose(compose(a,h),domain__dfg(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[145,3107]),
    [iquote('0:SpR:145.0,3107.0')] ).

cnf(17137,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),codomain(v))),compose(compose(compose(a,b),domain__dfg(u)),codomain(v))),compose(compose(compose(a,b),domain__dfg(u)),codomain(v))),compose(compose(compose(a,b),domain__dfg(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[456,3107]),
    [iquote('0:SpR:456.0,3107.0')] ).

cnf(16778,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),codomain(v))),compose(compose(compose(a,h),codomain(u)),codomain(v))),compose(compose(compose(a,h),codomain(u)),codomain(v))),compose(compose(compose(a,h),codomain(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[145,3106]),
    [iquote('0:SpR:145.0,3106.0')] ).

cnf(16779,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),codomain(v))),compose(compose(compose(a,b),codomain(u)),codomain(v))),compose(compose(compose(a,b),codomain(u)),codomain(v))),compose(compose(compose(a,b),codomain(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[456,3106]),
    [iquote('0:SpR:456.0,3106.0')] ).

cnf(17865,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,h),domain__dfg(u))),compose(compose(codomain(v),compose(a,h)),domain__dfg(u))),compose(compose(codomain(v),compose(a,h)),domain__dfg(u))),compose(compose(codomain(v),compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,17848]),
    [iquote('0:Rew:125.0,17848.0')] ).

cnf(17864,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,b),domain__dfg(u))),compose(compose(codomain(v),compose(a,b)),domain__dfg(u))),compose(compose(codomain(v),compose(a,b)),domain__dfg(u))),compose(compose(codomain(v),compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,17849]),
    [iquote('0:Rew:353.0,17849.0')] ).

cnf(17448,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,h),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,h)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,h)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,17420]),
    [iquote('0:Rew:125.0,17420.0')] ).

cnf(17447,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,b),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,b)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,b)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,17421]),
    [iquote('0:Rew:353.0,17421.0')] ).

cnf(16449,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,h),codomain(u))),compose(compose(domain__dfg(v),compose(a,h)),codomain(u))),compose(compose(domain__dfg(v),compose(a,h)),codomain(u))),compose(compose(domain__dfg(v),compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[125,16417]),
    [iquote('0:Rew:125.0,16417.0')] ).

cnf(16448,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,b),codomain(u))),compose(compose(domain__dfg(v),compose(a,b)),codomain(u))),compose(compose(domain__dfg(v),compose(a,b)),codomain(u))),compose(compose(domain__dfg(v),compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,16418]),
    [iquote('0:Rew:353.0,16418.0')] ).

cnf(16069,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,h),codomain(u))),compose(compose(codomain(v),compose(a,h)),codomain(u))),compose(compose(codomain(v),compose(a,h)),codomain(u))),compose(compose(codomain(v),compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[125,16048]),
    [iquote('0:Rew:125.0,16048.0')] ).

cnf(16068,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,b),codomain(u))),compose(compose(codomain(v),compose(a,b)),codomain(u))),compose(compose(codomain(v),compose(a,b)),codomain(u))),compose(compose(codomain(v),compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,16049]),
    [iquote('0:Rew:353.0,16049.0')] ).

cnf(15733,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,compose(a,b))),compose(compose(compose(a,b),u),compose(a,b))),compose(compose(compose(a,b),u),compose(a,b))),compose(compose(compose(a,b),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,395]),
    [iquote('0:SpR:456.0,395.0')] ).

cnf(14770,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,compose(a,b))),compose(compose(compose(a,h),u),compose(a,b))),compose(compose(compose(a,h),u),compose(a,b))),compose(compose(compose(a,h),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,275]),
    [iquote('0:SpR:353.0,275.0')] ).

cnf(14547,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,compose(a,h))),compose(compose(compose(a,h),u),compose(a,h))),compose(compose(compose(a,h),u),compose(a,h))),compose(compose(compose(a,h),u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,223]),
    [iquote('0:SpR:145.0,223.0')] ).

cnf(14719,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),u)),compose(compose(compose(a,h),compose(a,b)),u)),compose(compose(compose(a,h),compose(a,b)),u)),compose(compose(compose(a,h),compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[145,475]),
    [iquote('0:SpR:145.0,475.0')] ).

cnf(14548,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,compose(a,h))),compose(compose(compose(a,b),u),compose(a,h))),compose(compose(compose(a,b),u),compose(a,h))),compose(compose(compose(a,b),u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,223]),
    [iquote('0:SpR:456.0,223.0')] ).

cnf(14720,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),u)),compose(compose(compose(a,b),compose(a,b)),u)),compose(compose(compose(a,b),compose(a,b)),u)),compose(compose(compose(a,b),compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[456,475]),
    [iquote('0:SpR:456.0,475.0')] ).

cnf(14727,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),compose(a,b))),compose(compose(u,compose(a,b)),compose(a,b))),compose(compose(u,compose(a,b)),compose(a,b))),compose(compose(u,compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,475]),
    [iquote('0:SpR:353.0,475.0')] ).

cnf(14589,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),compose(a,h))),compose(compose(u,compose(a,b)),compose(a,h))),compose(compose(u,compose(a,b)),compose(a,h))),compose(compose(u,compose(a,b)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[353,14554]),
    [iquote('0:Rew:353.0,14554.0')] ).

cnf(14384,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),u)),compose(compose(compose(a,h),compose(a,h)),u)),compose(compose(compose(a,h),compose(a,h)),u)),compose(compose(compose(a,h),compose(a,h)),u)),
    inference(spr,[status(thm),theory(equality)],[145,263]),
    [iquote('0:SpR:145.0,263.0')] ).

cnf(14385,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),u)),compose(compose(compose(a,b),compose(a,h)),u)),compose(compose(compose(a,b),compose(a,h)),u)),compose(compose(compose(a,b),compose(a,h)),u)),
    inference(spr,[status(thm),theory(equality)],[456,263]),
    [iquote('0:SpR:456.0,263.0')] ).

cnf(14391,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,h),compose(a,h))),compose(compose(u,compose(a,h)),compose(a,h))),compose(compose(u,compose(a,h)),compose(a,h))),compose(compose(u,compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,263]),
    [iquote('0:SpR:125.0,263.0')] ).

cnf(10776,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),u,ifeq(compose(compose(a,b),compose(a,b)),u,compose(a,b),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,504]),
    [iquote('0:SpR:145.0,504.0')] ).

cnf(10777,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),u,ifeq(compose(compose(a,b),compose(a,b)),u,compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,504]),
    [iquote('0:SpR:456.0,504.0')] ).

cnf(14426,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),compose(a,h))),compose(compose(g,compose(a,h)),compose(a,h))),compose(compose(g,compose(a,h)),compose(a,h))),compose(compose(g,compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8679]),
    [iquote('0:SpR:125.0,8679.0')] ).

cnf(14392,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,h),compose(a,b))),compose(compose(u,compose(a,h)),compose(a,b))),compose(compose(u,compose(a,h)),compose(a,b))),compose(compose(u,compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,263]),
    [iquote('0:SpR:353.0,263.0')] ).

cnf(14427,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),compose(a,b))),compose(compose(g,compose(a,h)),compose(a,b))),compose(compose(g,compose(a,h)),compose(a,b))),compose(compose(g,compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8679]),
    [iquote('0:SpR:353.0,8679.0')] ).

cnf(14411,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),compose(a,h))),compose(compose(g,compose(a,b)),compose(a,h))),compose(compose(g,compose(a,b)),compose(a,h))),compose(compose(g,compose(a,b)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8678]),
    [iquote('0:SpR:125.0,8678.0')] ).

cnf(14412,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),compose(a,b))),compose(compose(g,compose(a,b)),compose(a,b))),compose(compose(g,compose(a,b)),compose(a,b))),compose(compose(g,compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8678]),
    [iquote('0:SpR:353.0,8678.0')] ).

cnf(14330,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,compose(a,h))),compose(compose(compose(a,h),g),compose(a,h))),compose(compose(compose(a,h),g),compose(a,h))),compose(compose(compose(a,h),g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,8586]),
    [iquote('0:SpR:145.0,8586.0')] ).

cnf(9477,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),u,ifeq(compose(compose(a,h),compose(a,b)),u,compose(a,h),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,373]),
    [iquote('0:SpR:145.0,373.0')] ).

cnf(14331,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,compose(a,h))),compose(compose(compose(a,b),g),compose(a,h))),compose(compose(compose(a,b),g),compose(a,h))),compose(compose(compose(a,b),g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,8586]),
    [iquote('0:SpR:456.0,8586.0')] ).

cnf(14308,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,compose(a,b))),compose(compose(compose(a,h),g),compose(a,b))),compose(compose(compose(a,h),g),compose(a,b))),compose(compose(compose(a,h),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[145,8587]),
    [iquote('0:SpR:145.0,8587.0')] ).

cnf(14309,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,compose(a,b))),compose(compose(compose(a,b),g),compose(a,b))),compose(compose(compose(a,b),g),compose(a,b))),compose(compose(compose(a,b),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,8587]),
    [iquote('0:SpR:456.0,8587.0')] ).

cnf(14250,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),compose(a,h))),compose(compose(a,compose(a,b)),compose(a,h))),compose(compose(a,compose(a,b)),compose(a,h))),compose(compose(a,compose(a,b)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2928]),
    [iquote('0:SpR:125.0,2928.0')] ).

cnf(9478,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),u,ifeq(compose(compose(a,h),compose(a,b)),u,compose(a,h),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,373]),
    [iquote('0:SpR:456.0,373.0')] ).

cnf(14251,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),compose(a,b))),compose(compose(a,compose(a,b)),compose(a,b))),compose(compose(a,compose(a,b)),compose(a,b))),compose(compose(a,compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2928]),
    [iquote('0:SpR:353.0,2928.0')] ).

cnf(14234,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),h)),compose(compose(compose(a,b),compose(a,b)),h)),compose(compose(compose(a,b),compose(a,b)),h)),compose(compose(compose(a,b),compose(a,b)),h)),
    inference(spr,[status(thm),theory(equality)],[456,2846]),
    [iquote('0:SpR:456.0,2846.0')] ).

cnf(14217,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),g)),compose(compose(compose(a,b),compose(a,b)),g)),compose(compose(compose(a,b),compose(a,b)),g)),compose(compose(compose(a,b),compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[456,2728]),
    [iquote('0:SpR:456.0,2728.0')] ).

cnf(14148,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),h),compose(a,b))),compose(compose(compose(a,b),h),compose(a,b))),compose(compose(compose(a,b),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,2537]),
    [iquote('0:SpR:456.0,2537.0')] ).

cnf(14190,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),h)),compose(compose(compose(a,h),compose(a,b)),h)),compose(compose(compose(a,h),compose(a,b)),h)),compose(compose(compose(a,h),compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,14174]),
    [iquote('0:Rew:353.0,14174.0')] ).

cnf(14110,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,compose(a,b))),compose(compose(compose(a,b),a),compose(a,b))),compose(compose(compose(a,b),a),compose(a,b))),compose(compose(compose(a,b),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,2432]),
    [iquote('0:SpR:456.0,2432.0')] ).

cnf(14073,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,b),g)),compose(compose(compose(a,h),compose(a,b)),g)),compose(compose(compose(a,h),compose(a,b)),g)),compose(compose(compose(a,h),compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,14057]),
    [iquote('0:Rew:353.0,14057.0')] ).

cnf(13945,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),compose(a,h))),compose(compose(a,compose(a,h)),compose(a,h))),compose(compose(a,compose(a,h)),compose(a,h))),compose(compose(a,compose(a,h)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2929]),
    [iquote('0:SpR:125.0,2929.0')] ).

cnf(13946,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),compose(a,b))),compose(compose(a,compose(a,h)),compose(a,b))),compose(compose(a,compose(a,h)),compose(a,b))),compose(compose(a,compose(a,h)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2929]),
    [iquote('0:SpR:353.0,2929.0')] ).

cnf(13864,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),h)),compose(compose(compose(a,h),compose(a,h)),h)),compose(compose(compose(a,h),compose(a,h)),h)),compose(compose(compose(a,h),compose(a,h)),h)),
    inference(spr,[status(thm),theory(equality)],[145,2847]),
    [iquote('0:SpR:145.0,2847.0')] ).

cnf(13865,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),h)),compose(compose(compose(a,b),compose(a,h)),h)),compose(compose(compose(a,b),compose(a,h)),h)),compose(compose(compose(a,b),compose(a,h)),h)),
    inference(spr,[status(thm),theory(equality)],[456,2847]),
    [iquote('0:SpR:456.0,2847.0')] ).

cnf(13843,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(compose(a,h),g)),compose(compose(compose(a,h),compose(a,h)),g)),compose(compose(compose(a,h),compose(a,h)),g)),compose(compose(compose(a,h),compose(a,h)),g)),
    inference(spr,[status(thm),theory(equality)],[145,2729]),
    [iquote('0:SpR:145.0,2729.0')] ).

cnf(13844,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,h),g)),compose(compose(compose(a,b),compose(a,h)),g)),compose(compose(compose(a,b),compose(a,h)),g)),compose(compose(compose(a,b),compose(a,h)),g)),
    inference(spr,[status(thm),theory(equality)],[456,2729]),
    [iquote('0:SpR:456.0,2729.0')] ).

cnf(13826,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,compose(a,b))),compose(compose(compose(a,h),h),compose(a,b))),compose(compose(compose(a,h),h),compose(a,b))),compose(compose(compose(a,h),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2529]),
    [iquote('0:SpR:353.0,2529.0')] ).

cnf(13804,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,compose(a,h))),compose(compose(compose(a,h),h),compose(a,h))),compose(compose(compose(a,h),h),compose(a,h))),compose(compose(compose(a,h),h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,2536]),
    [iquote('0:SpR:145.0,2536.0')] ).

cnf(13805,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,compose(a,h))),compose(compose(compose(a,b),h),compose(a,h))),compose(compose(compose(a,b),h),compose(a,h))),compose(compose(compose(a,b),h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,2536]),
    [iquote('0:SpR:456.0,2536.0')] ).

cnf(13782,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,compose(a,b))),compose(compose(compose(a,h),a),compose(a,b))),compose(compose(compose(a,h),a),compose(a,b))),compose(compose(compose(a,h),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2424]),
    [iquote('0:SpR:353.0,2424.0')] ).

cnf(13758,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,compose(a,h))),compose(compose(compose(a,h),a),compose(a,h))),compose(compose(compose(a,h),a),compose(a,h))),compose(compose(compose(a,h),a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[145,2431]),
    [iquote('0:SpR:145.0,2431.0')] ).

cnf(13759,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,compose(a,h))),compose(compose(compose(a,b),a),compose(a,h))),compose(compose(compose(a,b),a),compose(a,h))),compose(compose(compose(a,b),a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,2431]),
    [iquote('0:SpR:456.0,2431.0')] ).

cnf(9161,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),v,ifeq(compose(codomain(u),compose(a,b)),v,codomain(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,371]),
    [iquote('0:SpR:145.0,371.0')] ).

cnf(9162,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),v,ifeq(compose(codomain(u),compose(a,b)),v,codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,371]),
    [iquote('0:SpR:456.0,371.0')] ).

cnf(2970,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),v,ifeq(compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,372]),
    [iquote('0:SpR:456.0,372.0')] ).

cnf(17859,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),codomain(u),compose(codomain(w),compose(codomain(u),domain__dfg(v))),compose(compose(codomain(w),codomain(u)),domain__dfg(v))),compose(compose(codomain(w),codomain(u)),domain__dfg(v))),compose(compose(codomain(w),codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,17847]),
    [iquote('0:Rew:3.0,17847.0')] ).

cnf(17676,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(domain__dfg(u),domain__dfg(v))),compose(compose(codomain(w),domain__dfg(u)),domain__dfg(v))),compose(compose(codomain(w),domain__dfg(u)),domain__dfg(v))),compose(compose(codomain(w),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[29,3480]),
    [iquote('0:SpR:29.0,3480.0')] ).

cnf(17443,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(domain__dfg(u),domain__dfg(v))),compose(compose(domain__dfg(w),domain__dfg(u)),domain__dfg(v))),compose(compose(domain__dfg(w),domain__dfg(u)),domain__dfg(v))),compose(compose(domain__dfg(w),domain__dfg(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[25,17418]),
    [iquote('0:Rew:25.0,17418.0')] ).

cnf(17442,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(w),codomain(u),compose(domain__dfg(w),compose(codomain(u),domain__dfg(v))),compose(compose(domain__dfg(w),codomain(u)),domain__dfg(v))),compose(compose(domain__dfg(w),codomain(u)),domain__dfg(v))),compose(compose(domain__dfg(w),codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,17419]),
    [iquote('0:Rew:3.0,17419.0')] ).

cnf(16442,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(domain__dfg(u),codomain(v))),compose(compose(domain__dfg(w),domain__dfg(u)),codomain(v))),compose(compose(domain__dfg(w),domain__dfg(u)),codomain(v))),compose(compose(domain__dfg(w),domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[25,16415]),
    [iquote('0:Rew:25.0,16415.0')] ).

cnf(16441,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(w),codomain(u),compose(domain__dfg(w),compose(codomain(u),codomain(v))),compose(compose(domain__dfg(w),codomain(u)),codomain(v))),compose(compose(domain__dfg(w),codomain(u)),codomain(v))),compose(compose(domain__dfg(w),codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,16416]),
    [iquote('0:Rew:3.0,16416.0')] ).

cnf(16062,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(domain__dfg(u),codomain(v))),compose(compose(codomain(w),domain__dfg(u)),codomain(v))),compose(compose(codomain(w),domain__dfg(u)),codomain(v))),compose(compose(codomain(w),domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[25,16046]),
    [iquote('0:Rew:25.0,16046.0')] ).

cnf(16061,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(w),codomain(u),compose(codomain(w),compose(codomain(u),codomain(v))),compose(compose(codomain(w),codomain(u)),codomain(v))),compose(compose(codomain(w),codomain(u)),codomain(v))),compose(compose(codomain(w),codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,16047]),
    [iquote('0:Rew:3.0,16047.0')] ).

cnf(12319,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),v)),compose(compose(compose(a,h),codomain(u)),v)),compose(compose(compose(a,h),codomain(u)),v)),compose(compose(compose(a,h),codomain(u)),v)),
    inference(spr,[status(thm),theory(equality)],[145,257]),
    [iquote('0:SpR:145.0,257.0')] ).

cnf(12320,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),v)),compose(compose(compose(a,b),codomain(u)),v)),compose(compose(compose(a,b),codomain(u)),v)),compose(compose(compose(a,b),codomain(u)),v)),
    inference(spr,[status(thm),theory(equality)],[456,257]),
    [iquote('0:SpR:456.0,257.0')] ).

cnf(12327,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),compose(a,h))),compose(compose(v,codomain(u)),compose(a,h))),compose(compose(v,codomain(u)),compose(a,h))),compose(compose(v,codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,257]),
    [iquote('0:SpR:125.0,257.0')] ).

cnf(12328,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),compose(a,b))),compose(compose(v,codomain(u)),compose(a,b))),compose(compose(v,codomain(u)),compose(a,b))),compose(compose(v,codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,257]),
    [iquote('0:SpR:353.0,257.0')] ).

cnf(12235,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,compose(a,h))),compose(compose(codomain(v),u),compose(a,h))),compose(compose(codomain(v),u),compose(a,h))),compose(compose(codomain(v),u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,217]),
    [iquote('0:SpR:125.0,217.0')] ).

cnf(12236,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,compose(a,b))),compose(compose(codomain(v),u),compose(a,b))),compose(compose(codomain(v),u),compose(a,b))),compose(compose(codomain(v),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,217]),
    [iquote('0:SpR:353.0,217.0')] ).

cnf(12124,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,domain__dfg(v))),compose(compose(compose(a,h),u),domain__dfg(v))),compose(compose(compose(a,h),u),domain__dfg(v))),compose(compose(compose(a,h),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[145,222]),
    [iquote('0:SpR:145.0,222.0')] ).

cnf(12125,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,domain__dfg(v))),compose(compose(compose(a,b),u),domain__dfg(v))),compose(compose(compose(a,b),u),domain__dfg(v))),compose(compose(compose(a,b),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[456,222]),
    [iquote('0:SpR:456.0,222.0')] ).

cnf(3475,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),v)),compose(compose(compose(a,b),domain__dfg(u)),v)),compose(compose(compose(a,b),domain__dfg(u)),v)),compose(compose(compose(a,b),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[456,258]),
    [iquote('0:SpR:456.0,258.0')] ).

cnf(3482,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),compose(a,b))),compose(compose(v,domain__dfg(u)),compose(a,b))),compose(compose(v,domain__dfg(u)),compose(a,b))),compose(compose(v,domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,258]),
    [iquote('0:SpR:353.0,258.0')] ).

cnf(3272,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,compose(a,b))),compose(compose(domain__dfg(v),u),compose(a,b))),compose(compose(domain__dfg(v),u),compose(a,b))),compose(compose(domain__dfg(v),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,216]),
    [iquote('0:SpR:353.0,216.0')] ).

cnf(3064,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,codomain(v))),compose(compose(compose(a,b),u),codomain(v))),compose(compose(compose(a,b),u),codomain(v))),compose(compose(compose(a,b),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[456,221]),
    [iquote('0:SpR:456.0,221.0')] ).

cnf(12267,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,h),u)),compose(compose(codomain(v),compose(a,h)),u)),compose(compose(codomain(v),compose(a,h)),u)),compose(compose(codomain(v),compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[125,12240]),
    [iquote('0:Rew:125.0,12240.0')] ).

cnf(12266,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(compose(a,b),u)),compose(compose(codomain(v),compose(a,b)),u)),compose(compose(codomain(v),compose(a,b)),u)),compose(compose(codomain(v),compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[353,12241]),
    [iquote('0:Rew:353.0,12241.0')] ).

cnf(12175,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,h),domain__dfg(u))),compose(compose(v,compose(a,h)),domain__dfg(u))),compose(compose(v,compose(a,h)),domain__dfg(u))),compose(compose(v,compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,12136]),
    [iquote('0:Rew:125.0,12136.0')] ).

cnf(12174,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,b),domain__dfg(u))),compose(compose(v,compose(a,b)),domain__dfg(u))),compose(compose(v,compose(a,b)),domain__dfg(u))),compose(compose(v,compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,12137]),
    [iquote('0:Rew:353.0,12137.0')] ).

cnf(3313,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,b),u)),compose(compose(domain__dfg(v),compose(a,b)),u)),compose(compose(domain__dfg(v),compose(a,b)),u)),compose(compose(domain__dfg(v),compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[353,3277]),
    [iquote('0:Rew:353.0,3277.0')] ).

cnf(12049,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),compose(a,h))),compose(compose(g,codomain(u)),compose(a,h))),compose(compose(g,codomain(u)),compose(a,h))),compose(compose(g,codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8672]),
    [iquote('0:SpR:125.0,8672.0')] ).

cnf(12050,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),compose(a,b))),compose(compose(g,codomain(u)),compose(a,b))),compose(compose(g,codomain(u)),compose(a,b))),compose(compose(g,codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8672]),
    [iquote('0:SpR:353.0,8672.0')] ).

cnf(3121,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,b),codomain(u))),compose(compose(v,compose(a,b)),codomain(u))),compose(compose(v,compose(a,b)),codomain(u))),compose(compose(v,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,3076]),
    [iquote('0:Rew:353.0,3076.0')] ).

cnf(11932,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),compose(a,h))),compose(compose(g,domain__dfg(u)),compose(a,h))),compose(compose(g,domain__dfg(u)),compose(a,h))),compose(compose(g,domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3476]),
    [iquote('0:SpR:125.0,3476.0')] ).

cnf(11933,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),compose(a,b))),compose(compose(g,domain__dfg(u)),compose(a,b))),compose(compose(g,domain__dfg(u)),compose(a,b))),compose(compose(g,domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3476]),
    [iquote('0:SpR:353.0,3476.0')] ).

cnf(11801,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),compose(a,h))),compose(compose(a,domain__dfg(u)),compose(a,h))),compose(compose(a,domain__dfg(u)),compose(a,h))),compose(compose(a,domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2923]),
    [iquote('0:SpR:125.0,2923.0')] ).

cnf(11802,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),compose(a,b))),compose(compose(a,domain__dfg(u)),compose(a,b))),compose(compose(a,domain__dfg(u)),compose(a,b))),compose(compose(a,domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2923]),
    [iquote('0:SpR:353.0,2923.0')] ).

cnf(11745,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),compose(a,h))),compose(compose(a,codomain(u)),compose(a,h))),compose(compose(a,codomain(u)),compose(a,h))),compose(compose(a,codomain(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2922]),
    [iquote('0:SpR:125.0,2922.0')] ).

cnf(11746,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),compose(a,b))),compose(compose(a,codomain(u)),compose(a,b))),compose(compose(a,codomain(u)),compose(a,b))),compose(compose(a,codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2922]),
    [iquote('0:SpR:353.0,2922.0')] ).

cnf(11539,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),h)),compose(compose(compose(a,h),domain__dfg(u)),h)),compose(compose(compose(a,h),domain__dfg(u)),h)),compose(compose(compose(a,h),domain__dfg(u)),h)),
    inference(spr,[status(thm),theory(equality)],[145,2835]),
    [iquote('0:SpR:145.0,2835.0')] ).

cnf(11540,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),h)),compose(compose(compose(a,b),domain__dfg(u)),h)),compose(compose(compose(a,b),domain__dfg(u)),h)),compose(compose(compose(a,b),domain__dfg(u)),h)),
    inference(spr,[status(thm),theory(equality)],[456,2835]),
    [iquote('0:SpR:456.0,2835.0')] ).

cnf(11477,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),h)),compose(compose(compose(a,h),codomain(u)),h)),compose(compose(compose(a,h),codomain(u)),h)),compose(compose(compose(a,h),codomain(u)),h)),
    inference(spr,[status(thm),theory(equality)],[145,2834]),
    [iquote('0:SpR:145.0,2834.0')] ).

cnf(3722,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(compose(u,compose(a,h))),domain__dfg(u),compose(u,compose(a,h)),compose(compose(domain__dfg(compose(u,compose(a,h))),u),compose(a,h))),compose(compose(domain__dfg(compose(u,compose(a,h))),u),compose(a,h))),compose(compose(domain__dfg(compose(u,compose(a,h))),u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,264]),
    [iquote('0:SpR:125.0,264.0')] ).

cnf(11478,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),h)),compose(compose(compose(a,b),codomain(u)),h)),compose(compose(compose(a,b),codomain(u)),h)),compose(compose(compose(a,b),codomain(u)),h)),
    inference(spr,[status(thm),theory(equality)],[456,2834]),
    [iquote('0:SpR:456.0,2834.0')] ).

cnf(11268,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),g)),compose(compose(compose(a,h),domain__dfg(u)),g)),compose(compose(compose(a,h),domain__dfg(u)),g)),compose(compose(compose(a,h),domain__dfg(u)),g)),
    inference(spr,[status(thm),theory(equality)],[145,2717]),
    [iquote('0:SpR:145.0,2717.0')] ).

cnf(11269,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),g)),compose(compose(compose(a,b),domain__dfg(u)),g)),compose(compose(compose(a,b),domain__dfg(u)),g)),compose(compose(compose(a,b),domain__dfg(u)),g)),
    inference(spr,[status(thm),theory(equality)],[456,2717]),
    [iquote('0:SpR:456.0,2717.0')] ).

cnf(11206,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(u),g)),compose(compose(compose(a,h),codomain(u)),g)),compose(compose(compose(a,h),codomain(u)),g)),compose(compose(compose(a,h),codomain(u)),g)),
    inference(spr,[status(thm),theory(equality)],[145,2716]),
    [iquote('0:SpR:145.0,2716.0')] ).

cnf(3795,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(compose(a,h),u)),domain__dfg(a),compose(compose(a,h),u),compose(compose(domain__dfg(compose(compose(a,h),u)),compose(a,h)),u)),compose(compose(domain__dfg(compose(compose(a,h),u)),compose(a,h)),u)),compose(compose(domain__dfg(compose(compose(a,h),u)),compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[125,3727]),
    [iquote('0:Rew:125.0,3727.0')] ).

cnf(11207,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),g)),compose(compose(compose(a,b),codomain(u)),g)),compose(compose(compose(a,b),codomain(u)),g)),compose(compose(compose(a,b),codomain(u)),g)),
    inference(spr,[status(thm),theory(equality)],[456,2716]),
    [iquote('0:SpR:456.0,2716.0')] ).

cnf(12008,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),domain__dfg(u))),compose(compose(g,compose(a,h)),domain__dfg(u))),compose(compose(g,compose(a,h)),domain__dfg(u))),compose(compose(g,compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,11991]),
    [iquote('0:Rew:125.0,11991.0')] ).

cnf(12007,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),domain__dfg(u))),compose(compose(g,compose(a,b)),domain__dfg(u))),compose(compose(g,compose(a,b)),domain__dfg(u))),compose(compose(g,compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,11992]),
    [iquote('0:Rew:353.0,11992.0')] ).

cnf(11890,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),codomain(u))),compose(compose(g,compose(a,h)),codomain(u))),compose(compose(g,compose(a,h)),codomain(u))),compose(compose(g,compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[125,11869]),
    [iquote('0:Rew:125.0,11869.0')] ).

cnf(3774,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(compose(codomain(u),v)),codomain(u),compose(codomain(u),v),compose(compose(domain__dfg(compose(codomain(u),v)),codomain(u)),v)),compose(compose(domain__dfg(compose(codomain(u),v)),codomain(u)),v)),compose(compose(domain__dfg(compose(codomain(u),v)),codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,3726]),
    [iquote('0:Rew:3.0,3726.0')] ).

cnf(11889,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),codomain(u))),compose(compose(g,compose(a,b)),codomain(u))),compose(compose(g,compose(a,b)),codomain(u))),compose(compose(g,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,11870]),
    [iquote('0:Rew:353.0,11870.0')] ).

cnf(11707,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),codomain(u))),compose(compose(a,compose(a,h)),codomain(u))),compose(compose(a,compose(a,h)),codomain(u))),compose(compose(a,compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[125,11679]),
    [iquote('0:Rew:125.0,11679.0')] ).

cnf(11706,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),codomain(u))),compose(compose(a,compose(a,b)),codomain(u))),compose(compose(a,compose(a,b)),codomain(u))),compose(compose(a,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[353,11680]),
    [iquote('0:Rew:353.0,11680.0')] ).

cnf(11622,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),domain__dfg(u))),compose(compose(a,compose(a,h)),domain__dfg(u))),compose(compose(a,compose(a,h)),domain__dfg(u))),compose(compose(a,compose(a,h)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,11602]),
    [iquote('0:Rew:125.0,11602.0')] ).

cnf(3721,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(compose(u,domain__dfg(v))),domain__dfg(u),compose(u,domain__dfg(v)),compose(compose(domain__dfg(compose(u,domain__dfg(v))),u),domain__dfg(v))),compose(compose(domain__dfg(compose(u,domain__dfg(v))),u),domain__dfg(v))),compose(compose(domain__dfg(compose(u,domain__dfg(v))),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,264]),
    [iquote('0:SpR:25.0,264.0')] ).

cnf(11621,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),domain__dfg(u))),compose(compose(a,compose(a,b)),domain__dfg(u))),compose(compose(a,compose(a,b)),domain__dfg(u))),compose(compose(a,compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,11603]),
    [iquote('0:Rew:353.0,11603.0')] ).

cnf(11433,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,h),h)),compose(compose(domain__dfg(u),compose(a,h)),h)),compose(compose(domain__dfg(u),compose(a,h)),h)),compose(compose(domain__dfg(u),compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[125,11403]),
    [iquote('0:Rew:125.0,11403.0')] ).

cnf(11432,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),h)),compose(compose(domain__dfg(u),compose(a,b)),h)),compose(compose(domain__dfg(u),compose(a,b)),h)),compose(compose(domain__dfg(u),compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,11404]),
    [iquote('0:Rew:353.0,11404.0')] ).

cnf(11346,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,h),h)),compose(compose(codomain(u),compose(a,h)),h)),compose(compose(codomain(u),compose(a,h)),h)),compose(compose(codomain(u),compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[125,11328]),
    [iquote('0:Rew:125.0,11328.0')] ).

cnf(3505,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(compose(domain__dfg(u),v)),domain__dfg(u),compose(domain__dfg(u),v),compose(compose(domain__dfg(compose(domain__dfg(u),v)),domain__dfg(u)),v)),compose(compose(domain__dfg(compose(domain__dfg(u),v)),domain__dfg(u)),v)),compose(compose(domain__dfg(compose(domain__dfg(u),v)),domain__dfg(u)),v)),
    inference(rew,[status(thm),theory(equality)],[2,3464]),
    [iquote('0:Rew:2.0,3464.0')] ).

cnf(11345,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),h)),compose(compose(codomain(u),compose(a,b)),h)),compose(compose(codomain(u),compose(a,b)),h)),compose(compose(codomain(u),compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,11329]),
    [iquote('0:Rew:353.0,11329.0')] ).

cnf(11162,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,h),g)),compose(compose(domain__dfg(u),compose(a,h)),g)),compose(compose(domain__dfg(u),compose(a,h)),g)),compose(compose(domain__dfg(u),compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[125,11133]),
    [iquote('0:Rew:125.0,11133.0')] ).

cnf(11161,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),g)),compose(compose(domain__dfg(u),compose(a,b)),g)),compose(compose(domain__dfg(u),compose(a,b)),g)),compose(compose(domain__dfg(u),compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,11134]),
    [iquote('0:Rew:353.0,11134.0')] ).

cnf(11074,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(g,compose(a,h))),compose(compose(codomain(u),g),compose(a,h))),compose(compose(codomain(u),g),compose(a,h))),compose(compose(codomain(u),g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8578]),
    [iquote('0:SpR:125.0,8578.0')] ).

cnf(3125,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(compose(u,codomain(v))),domain__dfg(u),compose(u,codomain(v)),compose(compose(domain__dfg(compose(u,codomain(v))),u),codomain(v))),compose(compose(domain__dfg(compose(u,codomain(v))),u),codomain(v))),compose(compose(domain__dfg(compose(u,codomain(v))),u),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[2,3053]),
    [iquote('0:Rew:2.0,3053.0')] ).

cnf(11075,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(g,compose(a,b))),compose(compose(codomain(u),g),compose(a,b))),compose(compose(codomain(u),g),compose(a,b))),compose(compose(codomain(u),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8578]),
    [iquote('0:SpR:353.0,8578.0')] ).

cnf(11024,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,domain__dfg(u))),compose(compose(compose(a,h),g),domain__dfg(u))),compose(compose(compose(a,h),g),domain__dfg(u))),compose(compose(compose(a,h),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,8585]),
    [iquote('0:SpR:145.0,8585.0')] ).

cnf(11025,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,domain__dfg(u))),compose(compose(compose(a,b),g),domain__dfg(u))),compose(compose(compose(a,b),g),domain__dfg(u))),compose(compose(compose(a,b),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,8585]),
    [iquote('0:SpR:456.0,8585.0')] ).

cnf(10984,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(g,compose(a,h))),compose(compose(domain__dfg(u),g),compose(a,h))),compose(compose(domain__dfg(u),g),compose(a,h))),compose(compose(domain__dfg(u),g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,3290]),
    [iquote('0:SpR:125.0,3290.0')] ).

cnf(2969,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),v,ifeq(compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,372]),
    [iquote('0:SpR:145.0,372.0')] ).

cnf(10985,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(g,compose(a,b))),compose(compose(domain__dfg(u),g),compose(a,b))),compose(compose(domain__dfg(u),g),compose(a,b))),compose(compose(domain__dfg(u),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,3290]),
    [iquote('0:SpR:353.0,3290.0')] ).

cnf(10925,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,codomain(u))),compose(compose(compose(a,h),g),codomain(u))),compose(compose(compose(a,h),g),codomain(u))),compose(compose(compose(a,h),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,3097]),
    [iquote('0:SpR:145.0,3097.0')] ).

cnf(10926,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,codomain(u))),compose(compose(compose(a,b),g),codomain(u))),compose(compose(compose(a,b),g),codomain(u))),compose(compose(compose(a,b),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,3097]),
    [iquote('0:SpR:456.0,3097.0')] ).

cnf(10888,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,h),g)),compose(compose(codomain(u),compose(a,h)),g)),compose(compose(codomain(u),compose(a,h)),g)),compose(compose(codomain(u),compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[125,10870]),
    [iquote('0:Rew:125.0,10870.0')] ).

cnf(3474,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(domain__dfg(u),v)),compose(compose(compose(a,h),domain__dfg(u)),v)),compose(compose(compose(a,h),domain__dfg(u)),v)),compose(compose(compose(a,h),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[145,258]),
    [iquote('0:SpR:145.0,258.0')] ).

cnf(10887,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),g)),compose(compose(codomain(u),compose(a,b)),g)),compose(compose(codomain(u),compose(a,b)),g)),compose(compose(codomain(u),compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,10871]),
    [iquote('0:Rew:353.0,10871.0')] ).

cnf(10819,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(h,compose(a,h))),compose(compose(domain__dfg(u),h),compose(a,h))),compose(compose(domain__dfg(u),h),compose(a,h))),compose(compose(domain__dfg(u),h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2527]),
    [iquote('0:SpR:125.0,2527.0')] ).

cnf(10820,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(u),h),compose(a,b))),compose(compose(domain__dfg(u),h),compose(a,b))),compose(compose(domain__dfg(u),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2527]),
    [iquote('0:SpR:353.0,2527.0')] ).

cnf(10685,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(h,compose(a,h))),compose(compose(codomain(u),h),compose(a,h))),compose(compose(codomain(u),h),compose(a,h))),compose(compose(codomain(u),h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2528]),
    [iquote('0:SpR:125.0,2528.0')] ).

cnf(3481,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),compose(a,h))),compose(compose(v,domain__dfg(u)),compose(a,h))),compose(compose(v,domain__dfg(u)),compose(a,h))),compose(compose(v,domain__dfg(u)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,258]),
    [iquote('0:SpR:125.0,258.0')] ).

cnf(10686,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(h,compose(a,b))),compose(compose(codomain(u),h),compose(a,b))),compose(compose(codomain(u),h),compose(a,b))),compose(compose(codomain(u),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2528]),
    [iquote('0:SpR:353.0,2528.0')] ).

cnf(10478,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,codomain(u))),compose(compose(compose(a,h),h),codomain(u))),compose(compose(compose(a,h),h),codomain(u))),compose(compose(compose(a,h),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,2534]),
    [iquote('0:SpR:145.0,2534.0')] ).

cnf(10479,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,codomain(u))),compose(compose(compose(a,b),h),codomain(u))),compose(compose(compose(a,b),h),codomain(u))),compose(compose(compose(a,b),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,2534]),
    [iquote('0:SpR:456.0,2534.0')] ).

cnf(10294,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,domain__dfg(u))),compose(compose(compose(a,h),h),domain__dfg(u))),compose(compose(compose(a,h),h),domain__dfg(u))),compose(compose(compose(a,h),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,2535]),
    [iquote('0:SpR:145.0,2535.0')] ).

cnf(3271,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,compose(a,h))),compose(compose(domain__dfg(v),u),compose(a,h))),compose(compose(domain__dfg(v),u),compose(a,h))),compose(compose(domain__dfg(v),u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,216]),
    [iquote('0:SpR:125.0,216.0')] ).

cnf(10295,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,domain__dfg(u))),compose(compose(compose(a,b),h),domain__dfg(u))),compose(compose(compose(a,b),h),domain__dfg(u))),compose(compose(compose(a,b),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,2535]),
    [iquote('0:SpR:456.0,2535.0')] ).

cnf(10130,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,compose(a,h))),compose(compose(domain__dfg(u),a),compose(a,h))),compose(compose(domain__dfg(u),a),compose(a,h))),compose(compose(domain__dfg(u),a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2422]),
    [iquote('0:SpR:125.0,2422.0')] ).

cnf(10131,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,compose(a,b))),compose(compose(domain__dfg(u),a),compose(a,b))),compose(compose(domain__dfg(u),a),compose(a,b))),compose(compose(domain__dfg(u),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2422]),
    [iquote('0:SpR:353.0,2422.0')] ).

cnf(9963,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,compose(a,h))),compose(compose(codomain(u),a),compose(a,h))),compose(compose(codomain(u),a),compose(a,h))),compose(compose(codomain(u),a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2423]),
    [iquote('0:SpR:125.0,2423.0')] ).

cnf(3063,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,codomain(v))),compose(compose(compose(a,h),u),codomain(v))),compose(compose(compose(a,h),u),codomain(v))),compose(compose(compose(a,h),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[145,221]),
    [iquote('0:SpR:145.0,221.0')] ).

cnf(9964,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,compose(a,b))),compose(compose(codomain(u),a),compose(a,b))),compose(compose(codomain(u),a),compose(a,b))),compose(compose(codomain(u),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2423]),
    [iquote('0:SpR:353.0,2423.0')] ).

cnf(9791,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,codomain(u))),compose(compose(compose(a,h),a),codomain(u))),compose(compose(compose(a,h),a),codomain(u))),compose(compose(compose(a,h),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,2429]),
    [iquote('0:SpR:145.0,2429.0')] ).

cnf(9792,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,codomain(u))),compose(compose(compose(a,b),a),codomain(u))),compose(compose(compose(a,b),a),codomain(u))),compose(compose(compose(a,b),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,2429]),
    [iquote('0:SpR:456.0,2429.0')] ).

cnf(9685,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,domain__dfg(u))),compose(compose(compose(a,h),a),domain__dfg(u))),compose(compose(compose(a,h),a),domain__dfg(u))),compose(compose(compose(a,h),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,2430]),
    [iquote('0:SpR:145.0,2430.0')] ).

cnf(3314,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(compose(a,h),u)),compose(compose(domain__dfg(v),compose(a,h)),u)),compose(compose(domain__dfg(v),compose(a,h)),u)),compose(compose(domain__dfg(v),compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[125,3276]),
    [iquote('0:Rew:125.0,3276.0')] ).

cnf(9686,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,domain__dfg(u))),compose(compose(compose(a,b),a),domain__dfg(u))),compose(compose(compose(a,b),a),domain__dfg(u))),compose(compose(compose(a,b),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,2430]),
    [iquote('0:SpR:456.0,2430.0')] ).

cnf(500,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),v,ifeq(compose(u,compose(a,b)),v,u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,364]),
    [iquote('0:SpR:456.0,364.0')] ).

cnf(8510,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),u,ifeq(compose(g,compose(a,b)),u,g,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,369]),
    [iquote('0:SpR:145.0,369.0')] ).

cnf(8511,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),u,ifeq(compose(g,compose(a,b)),u,g,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,369]),
    [iquote('0:SpR:456.0,369.0')] ).

cnf(3122,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,h),codomain(u))),compose(compose(v,compose(a,h)),codomain(u))),compose(compose(v,compose(a,h)),codomain(u))),compose(compose(v,compose(a,h)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[125,3075]),
    [iquote('0:Rew:125.0,3075.0')] ).

cnf(2347,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),u,ifeq(compose(a,compose(a,b)),u,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,370]),
    [iquote('0:SpR:456.0,370.0')] ).

cnf(12742,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(domain__dfg(v),domain__dfg(u))),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),codomain(compose(domain__dfg(v),domain__dfg(u))))),compose(domain__dfg(v),domain__dfg(u))),compose(domain__dfg(v),domain__dfg(u))),compose(domain__dfg(v),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,12705]),
    [iquote('0:Rew:25.0,12705.0')] ).

cnf(12741,plain,
    equal(ifeq(codomain(u),codomain(compose(domain__dfg(v),codomain(u))),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),codomain(compose(domain__dfg(v),codomain(u))))),compose(domain__dfg(v),codomain(u))),compose(domain__dfg(v),codomain(u))),compose(domain__dfg(v),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,12706]),
    [iquote('0:Rew:3.0,12706.0')] ).

cnf(12489,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(codomain(v),domain__dfg(u))),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),codomain(compose(codomain(v),domain__dfg(u))))),compose(codomain(v),domain__dfg(u))),compose(codomain(v),domain__dfg(u))),compose(codomain(v),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,12473]),
    [iquote('0:Rew:25.0,12473.0')] ).

cnf(377,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),v,ifeq(compose(u,compose(a,b)),v,u,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(rew,[status(thm),theory(equality)],[353,323]),
    [iquote('0:Rew:353.0,323.0')] ).

cnf(12488,plain,
    equal(ifeq(codomain(u),codomain(compose(codomain(v),codomain(u))),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),codomain(compose(codomain(v),codomain(u))))),compose(codomain(v),codomain(u))),compose(codomain(v),codomain(u))),compose(codomain(v),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,12474]),
    [iquote('0:Rew:3.0,12474.0')] ).

cnf(2002,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(a,b),u)),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,codomain(compose(compose(a,b),u)))),compose(compose(a,b),u)),compose(compose(a,b),u)),compose(compose(a,b),u)),
    inference(spr,[status(thm),theory(equality)],[456,243]),
    [iquote('0:SpR:456.0,243.0')] ).

cnf(2087,plain,
    equal(ifeq(codomain(b),codomain(compose(u,compose(a,b))),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),codomain(compose(u,compose(a,b))))),compose(u,compose(a,b))),compose(u,compose(a,b))),compose(u,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,2023]),
    [iquote('0:Rew:353.0,2023.0')] ).

cnf(8097,plain,
    equal(ifeq(codomain(h),codomain(compose(g,compose(a,h))),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),codomain(compose(g,compose(a,h))))),compose(g,compose(a,h))),compose(g,compose(a,h))),compose(g,compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[125,8079]),
    [iquote('0:Rew:125.0,8079.0')] ).

cnf(2346,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),u,ifeq(compose(a,compose(a,b)),u,a,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,370]),
    [iquote('0:SpR:145.0,370.0')] ).

cnf(8096,plain,
    equal(ifeq(codomain(b),codomain(compose(g,compose(a,b))),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),codomain(compose(g,compose(a,b))))),compose(g,compose(a,b))),compose(g,compose(a,b))),compose(g,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,8080]),
    [iquote('0:Rew:353.0,8080.0')] ).

cnf(8023,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,h),g)),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,codomain(compose(compose(a,h),g)))),compose(compose(a,h),g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(spr,[status(thm),theory(equality)],[145,2053]),
    [iquote('0:SpR:145.0,2053.0')] ).

cnf(8024,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,b),g)),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,codomain(compose(compose(a,b),g)))),compose(compose(a,b),g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(spr,[status(thm),theory(equality)],[456,2053]),
    [iquote('0:SpR:456.0,2053.0')] ).

cnf(7663,plain,
    equal(ifeq(codomain(h),codomain(compose(a,compose(a,h))),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),codomain(compose(a,compose(a,h))))),compose(a,compose(a,h))),compose(a,compose(a,h))),compose(a,compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[125,7635]),
    [iquote('0:Rew:125.0,7635.0')] ).

cnf(2001,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(a,h),u)),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,codomain(compose(compose(a,h),u)))),compose(compose(a,h),u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(spr,[status(thm),theory(equality)],[145,243]),
    [iquote('0:SpR:145.0,243.0')] ).

cnf(7662,plain,
    equal(ifeq(codomain(b),codomain(compose(a,compose(a,b))),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),codomain(compose(a,compose(a,b))))),compose(a,compose(a,b))),compose(a,compose(a,b))),compose(a,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[353,7636]),
    [iquote('0:Rew:353.0,7636.0')] ).

cnf(7587,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,h),h)),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,codomain(compose(compose(a,h),h)))),compose(compose(a,h),h)),compose(compose(a,h),h)),compose(compose(a,h),h)),
    inference(spr,[status(thm),theory(equality)],[145,1992]),
    [iquote('0:SpR:145.0,1992.0')] ).

cnf(7588,plain,
    equal(ifeq(codomain(h),codomain(compose(compose(a,b),h)),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,codomain(compose(compose(a,b),h)))),compose(compose(a,b),h)),compose(compose(a,b),h)),compose(compose(a,b),h)),
    inference(spr,[status(thm),theory(equality)],[456,1992]),
    [iquote('0:SpR:456.0,1992.0')] ).

cnf(7564,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(a,h),a)),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,codomain(compose(compose(a,h),a)))),compose(compose(a,h),a)),compose(compose(a,h),a)),compose(compose(a,h),a)),
    inference(spr,[status(thm),theory(equality)],[145,2019]),
    [iquote('0:SpR:145.0,2019.0')] ).

cnf(2088,plain,
    equal(ifeq(codomain(h),codomain(compose(u,compose(a,h))),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,h),codomain(compose(u,compose(a,h))))),compose(u,compose(a,h))),compose(u,compose(a,h))),compose(u,compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[125,2022]),
    [iquote('0:Rew:125.0,2022.0')] ).

cnf(7565,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(a,b),a)),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,codomain(compose(compose(a,b),a)))),compose(compose(a,b),a)),compose(compose(a,b),a)),compose(compose(a,b),a)),
    inference(spr,[status(thm),theory(equality)],[456,2019]),
    [iquote('0:SpR:456.0,2019.0')] ).

cnf(10775,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),v,ifeq(compose(compose(a,b),compose(a,b)),v,compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,504]),
    [iquote('0:SpR:29.0,504.0')] ).

cnf(9476,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),v,ifeq(compose(compose(a,h),compose(a,b)),v,compose(a,h),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,373]),
    [iquote('0:SpR:29.0,373.0')] ).

cnf(3626,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),v,ifeq(compose(compose(a,b),compose(a,b)),v,compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[456,376]),
    [iquote('0:SpR:456.0,376.0')] ).

cnf(3625,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),v,ifeq(compose(compose(a,h),compose(a,b)),v,compose(a,h),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[145,376]),
    [iquote('0:SpR:145.0,376.0')] ).

cnf(8419,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1808]),
    [iquote('0:SpR:145.0,1808.0')] ).

cnf(8361,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,b),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1743]),
    [iquote('0:SpR:145.0,1743.0')] ).

cnf(8151,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1807]),
    [iquote('0:SpR:456.0,1807.0')] ).

cnf(8132,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,h),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1742]),
    [iquote('0:SpR:456.0,1742.0')] ).

cnf(2850,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(compose(u,h)),domain__dfg(u),compose(u,h),compose(compose(domain__dfg(compose(u,h)),u),h)),compose(compose(domain__dfg(compose(u,h)),u),h)),compose(compose(domain__dfg(compose(u,h)),u),h)),
    inference(rew,[status(thm),theory(equality)],[2,2790]),
    [iquote('0:Rew:2.0,2790.0')] ).

cnf(2732,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(compose(u,g)),domain__dfg(u),compose(u,g),compose(compose(domain__dfg(compose(u,g)),u),g)),compose(compose(domain__dfg(compose(u,g)),u),g)),compose(compose(domain__dfg(compose(u,g)),u),g)),
    inference(rew,[status(thm),theory(equality)],[2,2673]),
    [iquote('0:Rew:2.0,2673.0')] ).

cnf(3760,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(g,u)),domain__dfg(b),compose(g,u),compose(compose(domain__dfg(compose(g,u)),g),u)),compose(compose(domain__dfg(compose(g,u)),g),u)),compose(compose(domain__dfg(compose(g,u)),g),u)),
    inference(rew,[status(thm),theory(equality)],[18,3729]),
    [iquote('0:Rew:18.0,3729.0')] ).

cnf(8352,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(g,h)),domain__dfg(b),compose(g,h),compose(compose(domain__dfg(compose(g,h)),g),h)),compose(compose(domain__dfg(compose(g,h)),g),h)),compose(compose(domain__dfg(compose(g,h)),g),h)),
    inference(rew,[status(thm),theory(equality)],[2,8338]),
    [iquote('0:Rew:2.0,8338.0')] ).

cnf(8285,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(g,g)),domain__dfg(b),compose(g,g),compose(compose(domain__dfg(compose(g,g)),g),g)),compose(compose(domain__dfg(compose(g,g)),g),g)),compose(compose(domain__dfg(compose(g,g)),g),g)),
    inference(rew,[status(thm),theory(equality)],[2,8271]),
    [iquote('0:Rew:2.0,8271.0')] ).

cnf(2548,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(compose(h,u)),domain__dfg(b),compose(h,u),compose(compose(domain__dfg(compose(h,u)),h),u)),compose(compose(domain__dfg(compose(h,u)),h),u)),compose(compose(domain__dfg(compose(h,u)),h),u)),
    inference(rew,[status(thm),theory(equality)],[2,2525]),
    [iquote('0:Rew:2.0,2525.0')] ).

cnf(8119,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(h,h)),domain__dfg(b),compose(h,h),compose(compose(domain__dfg(compose(h,h)),h),h)),compose(compose(domain__dfg(compose(h,h)),h),h)),compose(compose(domain__dfg(compose(h,h)),h),h)),
    inference(rew,[status(thm),theory(equality)],[2,8107]),
    [iquote('0:Rew:2.0,8107.0')] ).

cnf(8059,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(compose(h,g)),domain__dfg(b),compose(h,g),compose(compose(domain__dfg(compose(h,g)),h),g)),compose(compose(domain__dfg(compose(h,g)),h),g)),compose(compose(domain__dfg(compose(h,g)),h),g)),
    inference(rew,[status(thm),theory(equality)],[2,8047]),
    [iquote('0:Rew:2.0,8047.0')] ).

cnf(12260,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),codomain(u),compose(codomain(w),compose(codomain(u),v)),compose(compose(codomain(w),codomain(u)),v)),compose(compose(codomain(w),codomain(u)),v)),compose(compose(codomain(w),codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,12239]),
    [iquote('0:Rew:3.0,12239.0')] ).

cnf(12161,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),codomain(u),compose(w,compose(codomain(u),domain__dfg(v))),compose(compose(w,codomain(u)),domain__dfg(v))),compose(compose(w,codomain(u)),domain__dfg(v))),compose(compose(w,codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,12135]),
    [iquote('0:Rew:3.0,12135.0')] ).

cnf(2444,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(a,u)),domain__dfg(a),compose(a,u),compose(compose(domain__dfg(compose(a,u)),a),u)),compose(compose(domain__dfg(compose(a,u)),a),u)),compose(compose(domain__dfg(compose(a,u)),a),u)),
    inference(rew,[status(thm),theory(equality)],[2,2418]),
    [iquote('0:Rew:2.0,2418.0')] ).

cnf(12123,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(u,domain__dfg(v))),compose(compose(codomain(w),u),domain__dfg(v))),compose(compose(codomain(w),u),domain__dfg(v))),compose(compose(codomain(w),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[29,222]),
    [iquote('0:SpR:29.0,222.0')] ).

cnf(3473,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(domain__dfg(u),v)),compose(compose(codomain(w),domain__dfg(u)),v)),compose(compose(codomain(w),domain__dfg(u)),v)),compose(compose(codomain(w),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[29,258]),
    [iquote('0:SpR:29.0,258.0')] ).

cnf(3480,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(domain__dfg(u),domain__dfg(v))),compose(compose(w,domain__dfg(u)),domain__dfg(v))),compose(compose(w,domain__dfg(u)),domain__dfg(v))),compose(compose(w,domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,258]),
    [iquote('0:SpR:25.0,258.0')] ).

cnf(3308,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(domain__dfg(u),v)),compose(compose(domain__dfg(w),domain__dfg(u)),v)),compose(compose(domain__dfg(w),domain__dfg(u)),v)),compose(compose(domain__dfg(w),domain__dfg(u)),v)),
    inference(rew,[status(thm),theory(equality)],[25,3274]),
    [iquote('0:Rew:25.0,3274.0')] ).

cnf(3307,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(w),codomain(u),compose(domain__dfg(w),compose(codomain(u),v)),compose(compose(domain__dfg(w),codomain(u)),v)),compose(compose(domain__dfg(w),codomain(u)),v)),compose(compose(domain__dfg(w),codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,3275]),
    [iquote('0:Rew:3.0,3275.0')] ).

cnf(3270,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(u,domain__dfg(v))),compose(compose(domain__dfg(w),u),domain__dfg(v))),compose(compose(domain__dfg(w),u),domain__dfg(v))),compose(compose(domain__dfg(w),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,216]),
    [iquote('0:SpR:25.0,216.0')] ).

cnf(9160,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),w,ifeq(compose(codomain(v),compose(a,b)),w,codomain(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,371]),
    [iquote('0:SpR:29.0,371.0')] ).

cnf(12002,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),domain__dfg(v))),compose(compose(g,codomain(u)),domain__dfg(v))),compose(compose(g,codomain(u)),domain__dfg(v))),compose(compose(g,codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,11990]),
    [iquote('0:Rew:3.0,11990.0')] ).

cnf(11931,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),domain__dfg(v))),compose(compose(g,domain__dfg(u)),domain__dfg(v))),compose(compose(g,domain__dfg(u)),domain__dfg(v))),compose(compose(g,domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,3476]),
    [iquote('0:SpR:25.0,3476.0')] ).

cnf(3107,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(domain__dfg(u),codomain(v))),compose(compose(w,domain__dfg(u)),codomain(v))),compose(compose(w,domain__dfg(u)),codomain(v))),compose(compose(w,domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[25,3073]),
    [iquote('0:Rew:25.0,3073.0')] ).

cnf(11883,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),codomain(v))),compose(compose(g,domain__dfg(u)),codomain(v))),compose(compose(g,domain__dfg(u)),codomain(v))),compose(compose(g,domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[25,11867]),
    [iquote('0:Rew:25.0,11867.0')] ).

cnf(11882,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),codomain(v))),compose(compose(g,codomain(u)),codomain(v))),compose(compose(g,codomain(u)),codomain(v))),compose(compose(g,codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,11868]),
    [iquote('0:Rew:3.0,11868.0')] ).

cnf(11700,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),codomain(v))),compose(compose(a,domain__dfg(u)),codomain(v))),compose(compose(a,domain__dfg(u)),codomain(v))),compose(compose(a,domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[25,11677]),
    [iquote('0:Rew:25.0,11677.0')] ).

cnf(11699,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),codomain(v))),compose(compose(a,codomain(u)),codomain(v))),compose(compose(a,codomain(u)),codomain(v))),compose(compose(a,codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,11678]),
    [iquote('0:Rew:3.0,11678.0')] ).

cnf(3106,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(w),codomain(u),compose(w,compose(codomain(u),codomain(v))),compose(compose(w,codomain(u)),codomain(v))),compose(compose(w,codomain(u)),codomain(v))),compose(compose(w,codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,3074]),
    [iquote('0:Rew:3.0,3074.0')] ).

cnf(11617,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),domain__dfg(v))),compose(compose(a,domain__dfg(u)),domain__dfg(v))),compose(compose(a,domain__dfg(u)),domain__dfg(v))),compose(compose(a,domain__dfg(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[25,11600]),
    [iquote('0:Rew:25.0,11600.0')] ).

cnf(11616,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),domain__dfg(v))),compose(compose(a,codomain(u)),domain__dfg(v))),compose(compose(a,codomain(u)),domain__dfg(v))),compose(compose(a,codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,11601]),
    [iquote('0:Rew:3.0,11601.0')] ).

cnf(11429,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),h)),compose(compose(domain__dfg(v),domain__dfg(u)),h)),compose(compose(domain__dfg(v),domain__dfg(u)),h)),compose(compose(domain__dfg(v),domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[25,11401]),
    [iquote('0:Rew:25.0,11401.0')] ).

cnf(11428,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),h)),compose(compose(domain__dfg(v),codomain(u)),h)),compose(compose(domain__dfg(v),codomain(u)),h)),compose(compose(domain__dfg(v),codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[3,11402]),
    [iquote('0:Rew:3.0,11402.0')] ).

cnf(3061,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(u,codomain(v))),compose(compose(domain__dfg(w),u),codomain(v))),compose(compose(domain__dfg(w),u),codomain(v))),compose(compose(domain__dfg(w),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[2,221]),
    [iquote('0:SpR:2.0,221.0')] ).

cnf(11342,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),h)),compose(compose(codomain(v),domain__dfg(u)),h)),compose(compose(codomain(v),domain__dfg(u)),h)),compose(compose(codomain(v),domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[25,11326]),
    [iquote('0:Rew:25.0,11326.0')] ).

cnf(11341,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),h)),compose(compose(codomain(v),codomain(u)),h)),compose(compose(codomain(v),codomain(u)),h)),compose(compose(codomain(v),codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[3,11327]),
    [iquote('0:Rew:3.0,11327.0')] ).

cnf(11158,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),g)),compose(compose(domain__dfg(v),domain__dfg(u)),g)),compose(compose(domain__dfg(v),domain__dfg(u)),g)),compose(compose(domain__dfg(v),domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[25,11131]),
    [iquote('0:Rew:25.0,11131.0')] ).

cnf(11157,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),g)),compose(compose(domain__dfg(v),codomain(u)),g)),compose(compose(domain__dfg(v),codomain(u)),g)),compose(compose(domain__dfg(v),codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,11132]),
    [iquote('0:Rew:3.0,11132.0')] ).

cnf(3062,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(u,codomain(v))),compose(compose(codomain(w),u),codomain(v))),compose(compose(codomain(w),u),codomain(v))),compose(compose(codomain(w),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[29,221]),
    [iquote('0:SpR:29.0,221.0')] ).

cnf(10884,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),g)),compose(compose(codomain(v),domain__dfg(u)),g)),compose(compose(codomain(v),domain__dfg(u)),g)),compose(compose(codomain(v),domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[25,10868]),
    [iquote('0:Rew:25.0,10868.0')] ).

cnf(10883,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),g)),compose(compose(codomain(v),codomain(u)),g)),compose(compose(codomain(v),codomain(u)),g)),compose(compose(codomain(v),codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,10869]),
    [iquote('0:Rew:3.0,10869.0')] ).

cnf(508,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,v)),compose(compose(compose(a,b),u),v)),compose(compose(compose(a,b),u),v)),compose(compose(compose(a,b),u),v)),
    inference(spr,[status(thm),theory(equality)],[456,8]),
    [iquote('0:SpR:456.0,8.0')] ).

cnf(395,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,compose(a,b))),compose(compose(v,u),compose(a,b))),compose(compose(v,u),compose(a,b))),compose(compose(v,u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8]),
    [iquote('0:SpR:353.0,8.0')] ).

cnf(3624,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),w,ifeq(compose(codomain(v),compose(a,b)),w,codomain(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[29,376]),
    [iquote('0:SpR:29.0,376.0')] ).

cnf(11023,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(g,domain__dfg(u))),compose(compose(codomain(v),g),domain__dfg(u))),compose(compose(codomain(v),g),domain__dfg(u))),compose(compose(codomain(v),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[29,8585]),
    [iquote('0:SpR:29.0,8585.0')] ).

cnf(10983,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(g,domain__dfg(u))),compose(compose(domain__dfg(v),g),domain__dfg(u))),compose(compose(domain__dfg(v),g),domain__dfg(u))),compose(compose(domain__dfg(v),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,3290]),
    [iquote('0:SpR:25.0,3290.0')] ).

cnf(10923,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(g,codomain(u))),compose(compose(domain__dfg(v),g),codomain(u))),compose(compose(domain__dfg(v),g),codomain(u))),compose(compose(domain__dfg(v),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[2,3097]),
    [iquote('0:SpR:2.0,3097.0')] ).

cnf(10924,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(g,codomain(u))),compose(compose(codomain(v),g),codomain(u))),compose(compose(codomain(v),g),codomain(u))),compose(compose(codomain(v),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[29,3097]),
    [iquote('0:SpR:29.0,3097.0')] ).

cnf(2967,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),w,ifeq(compose(domain__dfg(v),compose(a,b)),w,domain__dfg(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,372]),
    [iquote('0:SpR:2.0,372.0')] ).

cnf(10476,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(h,codomain(u))),compose(compose(domain__dfg(v),h),codomain(u))),compose(compose(domain__dfg(v),h),codomain(u))),compose(compose(domain__dfg(v),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[2,2534]),
    [iquote('0:SpR:2.0,2534.0')] ).

cnf(10477,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(h,codomain(u))),compose(compose(codomain(v),h),codomain(u))),compose(compose(codomain(v),h),codomain(u))),compose(compose(codomain(v),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[29,2534]),
    [iquote('0:SpR:29.0,2534.0')] ).

cnf(10292,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(h,domain__dfg(u))),compose(compose(domain__dfg(v),h),domain__dfg(u))),compose(compose(domain__dfg(v),h),domain__dfg(u))),compose(compose(domain__dfg(v),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[2,2535]),
    [iquote('0:SpR:2.0,2535.0')] ).

cnf(10293,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(h,domain__dfg(u))),compose(compose(codomain(v),h),domain__dfg(u))),compose(compose(codomain(v),h),domain__dfg(u))),compose(compose(codomain(v),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[29,2535]),
    [iquote('0:SpR:29.0,2535.0')] ).

cnf(2968,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),w,ifeq(compose(domain__dfg(v),compose(a,b)),w,domain__dfg(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,372]),
    [iquote('0:SpR:29.0,372.0')] ).

cnf(9789,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(a,codomain(u))),compose(compose(domain__dfg(v),a),codomain(u))),compose(compose(domain__dfg(v),a),codomain(u))),compose(compose(domain__dfg(v),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[2,2429]),
    [iquote('0:SpR:2.0,2429.0')] ).

cnf(9790,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(a,codomain(u))),compose(compose(codomain(v),a),codomain(u))),compose(compose(codomain(v),a),codomain(u))),compose(compose(codomain(v),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[29,2429]),
    [iquote('0:SpR:29.0,2429.0')] ).

cnf(9683,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(a,domain__dfg(u))),compose(compose(domain__dfg(v),a),domain__dfg(u))),compose(compose(domain__dfg(v),a),domain__dfg(u))),compose(compose(domain__dfg(v),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[2,2430]),
    [iquote('0:SpR:2.0,2430.0')] ).

cnf(9684,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(a,domain__dfg(u))),compose(compose(codomain(v),a),domain__dfg(u))),compose(compose(codomain(v),a),domain__dfg(u))),compose(compose(codomain(v),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[29,2430]),
    [iquote('0:SpR:29.0,2430.0')] ).

cnf(275,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,v)),compose(compose(compose(a,h),u),v)),compose(compose(compose(a,h),u),v)),compose(compose(compose(a,h),u),v)),
    inference(spr,[status(thm),theory(equality)],[145,8]),
    [iquote('0:SpR:145.0,8.0')] ).

cnf(475,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,b),u)),compose(compose(v,compose(a,b)),u)),compose(compose(v,compose(a,b)),u)),compose(compose(v,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[456,390]),
    [iquote('0:Rew:456.0,390.0')] ).

cnf(8647,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,compose(a,h))),compose(compose(g,u),compose(a,h))),compose(compose(g,u),compose(a,h))),compose(compose(g,u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,218]),
    [iquote('0:SpR:125.0,218.0')] ).

cnf(8648,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,compose(a,b))),compose(compose(g,u),compose(a,b))),compose(compose(g,u),compose(a,b))),compose(compose(g,u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,218]),
    [iquote('0:SpR:353.0,218.0')] ).

cnf(2893,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,compose(a,b))),compose(compose(a,u),compose(a,b))),compose(compose(a,u),compose(a,b))),compose(compose(a,u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,215]),
    [iquote('0:SpR:353.0,215.0')] ).

cnf(223,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,compose(a,h))),compose(compose(v,u),compose(a,h))),compose(compose(v,u),compose(a,h))),compose(compose(v,u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8]),
    [iquote('0:SpR:125.0,8.0')] ).

cnf(2802,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,h)),compose(compose(compose(a,b),u),h)),compose(compose(compose(a,b),u),h)),compose(compose(compose(a,b),u),h)),
    inference(spr,[status(thm),theory(equality)],[456,219]),
    [iquote('0:SpR:456.0,219.0')] ).

cnf(2684,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,g)),compose(compose(compose(a,b),u),g)),compose(compose(compose(a,b),u),g)),compose(compose(compose(a,b),u),g)),
    inference(spr,[status(thm),theory(equality)],[456,220]),
    [iquote('0:SpR:456.0,220.0')] ).

cnf(8679,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),u)),compose(compose(g,compose(a,h)),u)),compose(compose(g,compose(a,h)),u)),compose(compose(g,compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[125,8652]),
    [iquote('0:Rew:125.0,8652.0')] ).

cnf(8678,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),u)),compose(compose(g,compose(a,b)),u)),compose(compose(g,compose(a,b)),u)),compose(compose(g,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[353,8653]),
    [iquote('0:Rew:353.0,8653.0')] ).

cnf(263,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(compose(a,h),u)),compose(compose(v,compose(a,h)),u)),compose(compose(v,compose(a,h)),u)),compose(compose(v,compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[145,214]),
    [iquote('0:Rew:145.0,214.0')] ).

cnf(8579,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,u)),compose(compose(compose(a,h),g),u)),compose(compose(compose(a,h),g),u)),compose(compose(compose(a,h),g),u)),
    inference(spr,[status(thm),theory(equality)],[145,240]),
    [iquote('0:SpR:145.0,240.0')] ).

cnf(8580,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,u)),compose(compose(compose(a,b),g),u)),compose(compose(compose(a,b),g),u)),compose(compose(compose(a,b),g),u)),
    inference(spr,[status(thm),theory(equality)],[456,240]),
    [iquote('0:SpR:456.0,240.0')] ).

cnf(8586,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(u,compose(g,compose(a,h))),compose(compose(u,g),compose(a,h))),compose(compose(u,g),compose(a,h))),compose(compose(u,g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,240]),
    [iquote('0:SpR:125.0,240.0')] ).

cnf(8587,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(u,compose(g,compose(a,b))),compose(compose(u,g),compose(a,b))),compose(compose(u,g),compose(a,b))),compose(compose(u,g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,240]),
    [iquote('0:SpR:353.0,240.0')] ).

cnf(2892,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,compose(a,h))),compose(compose(a,u),compose(a,h))),compose(compose(a,u),compose(a,h))),compose(compose(a,u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,215]),
    [iquote('0:SpR:125.0,215.0')] ).

cnf(2928,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),u)),compose(compose(a,compose(a,b)),u)),compose(compose(a,compose(a,b)),u)),compose(compose(a,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[353,2898]),
    [iquote('0:Rew:353.0,2898.0')] ).

cnf(2846,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),h)),compose(compose(u,compose(a,b)),h)),compose(compose(u,compose(a,b)),h)),compose(compose(u,compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,2808]),
    [iquote('0:Rew:353.0,2808.0')] ).

cnf(2728,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),g)),compose(compose(u,compose(a,b)),g)),compose(compose(u,compose(a,b)),g)),compose(compose(u,compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,2690]),
    [iquote('0:Rew:353.0,2690.0')] ).

cnf(2530,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,u)),compose(compose(compose(a,b),h),u)),compose(compose(compose(a,b),h),u)),compose(compose(compose(a,b),h),u)),
    inference(spr,[status(thm),theory(equality)],[456,210]),
    [iquote('0:SpR:456.0,210.0')] ).

cnf(2801,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,h)),compose(compose(compose(a,h),u),h)),compose(compose(compose(a,h),u),h)),compose(compose(compose(a,h),u),h)),
    inference(spr,[status(thm),theory(equality)],[145,219]),
    [iquote('0:SpR:145.0,219.0')] ).

cnf(2537,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(u,compose(h,compose(a,b))),compose(compose(u,h),compose(a,b))),compose(compose(u,h),compose(a,b))),compose(compose(u,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,210]),
    [iquote('0:SpR:353.0,210.0')] ).

cnf(2425,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,u)),compose(compose(compose(a,b),a),u)),compose(compose(compose(a,b),a),u)),compose(compose(compose(a,b),a),u)),
    inference(spr,[status(thm),theory(equality)],[456,224]),
    [iquote('0:SpR:456.0,224.0')] ).

cnf(2432,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,compose(a,b))),compose(compose(u,a),compose(a,b))),compose(compose(u,a),compose(a,b))),compose(compose(u,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,224]),
    [iquote('0:SpR:353.0,224.0')] ).

cnf(7460,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(domain__dfg(u),compose(a,b)),domain__dfg(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1805]),
    [iquote('0:SpR:145.0,1805.0')] ).

cnf(2683,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(u,g)),compose(compose(compose(a,h),u),g)),compose(compose(compose(a,h),u),g)),compose(compose(compose(a,h),u),g)),
    inference(spr,[status(thm),theory(equality)],[145,220]),
    [iquote('0:SpR:145.0,220.0')] ).

cnf(7461,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(domain__dfg(u),compose(a,b)),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1805]),
    [iquote('0:SpR:456.0,1805.0')] ).

cnf(7337,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(codomain(u),compose(a,b)),codomain(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1806]),
    [iquote('0:SpR:145.0,1806.0')] ).

cnf(7338,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(codomain(u),compose(a,b)),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1806]),
    [iquote('0:SpR:456.0,1806.0')] ).

cnf(7298,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(compose(a,h),compose(a,b)),domain__dfg(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1740]),
    [iquote('0:SpR:145.0,1740.0')] ).

cnf(2929,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),u)),compose(compose(a,compose(a,h)),u)),compose(compose(a,compose(a,h)),u)),compose(compose(a,compose(a,h)),u)),
    inference(rew,[status(thm),theory(equality)],[125,2897]),
    [iquote('0:Rew:125.0,2897.0')] ).

cnf(7299,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(compose(a,b),compose(a,b)),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1740]),
    [iquote('0:SpR:456.0,1740.0')] ).

cnf(7100,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(compose(a,h),compose(a,b)),codomain(u),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1741]),
    [iquote('0:SpR:145.0,1741.0')] ).

cnf(7101,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(compose(a,b),compose(a,b)),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1741]),
    [iquote('0:SpR:456.0,1741.0')] ).

cnf(8609,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,compose(a,h))),compose(compose(g,g),compose(a,h))),compose(compose(g,g),compose(a,h))),compose(compose(g,g),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,8581]),
    [iquote('0:SpR:125.0,8581.0')] ).

cnf(2847,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,h),h)),compose(compose(u,compose(a,h)),h)),compose(compose(u,compose(a,h)),h)),compose(compose(u,compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[125,2807]),
    [iquote('0:Rew:125.0,2807.0')] ).

cnf(8610,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,compose(a,b))),compose(compose(g,g),compose(a,b))),compose(compose(g,g),compose(a,b))),compose(compose(g,g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,8581]),
    [iquote('0:SpR:353.0,8581.0')] ).

cnf(8499,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),h)),compose(compose(g,compose(a,h)),h)),compose(compose(g,compose(a,h)),h)),compose(compose(g,compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[125,8481]),
    [iquote('0:Rew:125.0,8481.0')] ).

cnf(8498,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),h)),compose(compose(g,compose(a,b)),h)),compose(compose(g,compose(a,b)),h)),compose(compose(g,compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,8482]),
    [iquote('0:Rew:353.0,8482.0')] ).

cnf(8461,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,h),g)),compose(compose(g,compose(a,h)),g)),compose(compose(g,compose(a,h)),g)),compose(compose(g,compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[125,8443]),
    [iquote('0:Rew:125.0,8443.0')] ).

cnf(2729,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,h),g)),compose(compose(u,compose(a,h)),g)),compose(compose(u,compose(a,h)),g)),compose(compose(u,compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[125,2689]),
    [iquote('0:Rew:125.0,2689.0')] ).

cnf(8460,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(codomain(h),domain__dfg(a),compose(g,compose(compose(a,b),g)),compose(compose(g,compose(a,b)),g)),compose(compose(g,compose(a,b)),g)),compose(compose(g,compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,8444]),
    [iquote('0:Rew:353.0,8444.0')] ).

cnf(8342,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,h)),compose(compose(compose(a,h),g),h)),compose(compose(compose(a,h),g),h)),compose(compose(compose(a,h),g),h)),
    inference(spr,[status(thm),theory(equality)],[145,2822]),
    [iquote('0:SpR:145.0,2822.0')] ).

cnf(8343,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,h)),compose(compose(compose(a,b),g),h)),compose(compose(compose(a,b),g),h)),compose(compose(compose(a,b),g),h)),
    inference(spr,[status(thm),theory(equality)],[456,2822]),
    [iquote('0:SpR:456.0,2822.0')] ).

cnf(8327,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),h)),compose(compose(a,compose(a,h)),h)),compose(compose(a,compose(a,h)),h)),compose(compose(a,compose(a,h)),h)),
    inference(rew,[status(thm),theory(equality)],[125,8306]),
    [iquote('0:Rew:125.0,8306.0')] ).

cnf(2529,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,u)),compose(compose(compose(a,h),h),u)),compose(compose(compose(a,h),h),u)),compose(compose(compose(a,h),h),u)),
    inference(spr,[status(thm),theory(equality)],[145,210]),
    [iquote('0:SpR:145.0,210.0')] ).

cnf(8326,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),h)),compose(compose(a,compose(a,b)),h)),compose(compose(a,compose(a,b)),h)),compose(compose(a,compose(a,b)),h)),
    inference(rew,[status(thm),theory(equality)],[353,8307]),
    [iquote('0:Rew:353.0,8307.0')] ).

cnf(8275,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(g,g)),compose(compose(compose(a,h),g),g)),compose(compose(compose(a,h),g),g)),compose(compose(compose(a,h),g),g)),
    inference(spr,[status(thm),theory(equality)],[145,2704]),
    [iquote('0:SpR:145.0,2704.0')] ).

cnf(8276,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(g,g)),compose(compose(compose(a,b),g),g)),compose(compose(compose(a,b),g),g)),compose(compose(compose(a,b),g),g)),
    inference(spr,[status(thm),theory(equality)],[456,2704]),
    [iquote('0:SpR:456.0,2704.0')] ).

cnf(8259,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,compose(a,h))),compose(compose(g,h),compose(a,h))),compose(compose(g,h),compose(a,h))),compose(compose(g,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2531]),
    [iquote('0:SpR:125.0,2531.0')] ).

cnf(2536,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),compose(u,compose(h,compose(a,h))),compose(compose(u,h),compose(a,h))),compose(compose(u,h),compose(a,h))),compose(compose(u,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,210]),
    [iquote('0:SpR:125.0,210.0')] ).

cnf(8260,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,compose(a,b))),compose(compose(g,h),compose(a,b))),compose(compose(g,h),compose(a,b))),compose(compose(g,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2531]),
    [iquote('0:SpR:353.0,2531.0')] ).

cnf(8241,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,compose(a,h))),compose(compose(g,a),compose(a,h))),compose(compose(g,a),compose(a,h))),compose(compose(g,a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2426]),
    [iquote('0:SpR:125.0,2426.0')] ).

cnf(8242,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,compose(a,b))),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2426]),
    [iquote('0:SpR:353.0,2426.0')] ).

cnf(8220,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,h),g)),compose(compose(a,compose(a,h)),g)),compose(compose(a,compose(a,h)),g)),compose(compose(a,compose(a,h)),g)),
    inference(rew,[status(thm),theory(equality)],[125,8199]),
    [iquote('0:Rew:125.0,8199.0')] ).

cnf(2424,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,u)),compose(compose(compose(a,h),a),u)),compose(compose(compose(a,h),a),u)),compose(compose(compose(a,h),a),u)),
    inference(spr,[status(thm),theory(equality)],[145,224]),
    [iquote('0:SpR:145.0,224.0')] ).

cnf(8219,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),g)),compose(compose(a,compose(a,b)),g)),compose(compose(a,compose(a,b)),g)),compose(compose(a,compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[353,8200]),
    [iquote('0:Rew:353.0,8200.0')] ).

cnf(8111,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,h)),compose(compose(compose(a,h),h),h)),compose(compose(compose(a,h),h),h)),compose(compose(compose(a,h),h),h)),
    inference(spr,[status(thm),theory(equality)],[145,2532]),
    [iquote('0:SpR:145.0,2532.0')] ).

cnf(8112,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,h)),compose(compose(compose(a,b),h),h)),compose(compose(compose(a,b),h),h)),compose(compose(compose(a,b),h),h)),
    inference(spr,[status(thm),theory(equality)],[456,2532]),
    [iquote('0:SpR:456.0,2532.0')] ).

cnf(8051,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(h,g)),compose(compose(compose(a,h),h),g)),compose(compose(compose(a,h),h),g)),compose(compose(compose(a,h),h),g)),
    inference(spr,[status(thm),theory(equality)],[145,2533]),
    [iquote('0:SpR:145.0,2533.0')] ).

cnf(2431,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,compose(a,h))),compose(compose(u,a),compose(a,h))),compose(compose(u,a),compose(a,h))),compose(compose(u,a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,224]),
    [iquote('0:SpR:125.0,224.0')] ).

cnf(8052,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(h,g)),compose(compose(compose(a,b),h),g)),compose(compose(compose(a,b),h),g)),compose(compose(compose(a,b),h),g)),
    inference(spr,[status(thm),theory(equality)],[456,2533]),
    [iquote('0:SpR:456.0,2533.0')] ).

cnf(7915,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,compose(a,h))),compose(compose(a,a),compose(a,h))),compose(compose(a,a),compose(a,h))),compose(compose(a,a),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2421]),
    [iquote('0:SpR:125.0,2421.0')] ).

cnf(7916,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,compose(a,b))),compose(compose(a,a),compose(a,b))),compose(compose(a,a),compose(a,b))),compose(compose(a,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2421]),
    [iquote('0:SpR:353.0,2421.0')] ).

cnf(8509,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),v,ifeq(compose(g,compose(a,b)),v,g,codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,369]),
    [iquote('0:SpR:29.0,369.0')] ).

cnf(375,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),w,ifeq(compose(v,compose(a,b)),w,v,codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[353,322]),
    [iquote('0:Rew:353.0,322.0')] ).

cnf(3627,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),v,ifeq(compose(g,compose(a,b)),v,g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[144,376]),
    [iquote('0:SpR:144.0,376.0')] ).

cnf(2344,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),v,ifeq(compose(a,compose(a,b)),v,a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,370]),
    [iquote('0:SpR:2.0,370.0')] ).

cnf(1814,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(u,compose(a,b)),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,366]),
    [iquote('0:SpR:456.0,366.0')] ).

cnf(1749,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(compose(a,b),compose(a,b)),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,365]),
    [iquote('0:SpR:456.0,365.0')] ).

cnf(2345,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),v,ifeq(compose(a,compose(a,b)),v,a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,370]),
    [iquote('0:SpR:29.0,370.0')] ).

cnf(7114,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(g,compose(a,b)),g,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1809]),
    [iquote('0:SpR:145.0,1809.0')] ).

cnf(7115,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(g,compose(a,b)),g,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1809]),
    [iquote('0:SpR:456.0,1809.0')] ).

cnf(7068,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(compose(a,h),compose(a,b)),g,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1744]),
    [iquote('0:SpR:145.0,1744.0')] ).

cnf(7069,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(compose(a,b),compose(a,b)),g,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1744]),
    [iquote('0:SpR:456.0,1744.0')] ).

cnf(1813,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(u,compose(a,b)),u,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,366]),
    [iquote('0:SpR:145.0,366.0')] ).

cnf(6431,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(a,compose(a,b)),a,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1804]),
    [iquote('0:SpR:145.0,1804.0')] ).

cnf(6432,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(a,compose(a,b)),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1804]),
    [iquote('0:SpR:456.0,1804.0')] ).

cnf(6412,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(compose(a,h),compose(a,b)),a,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1739]),
    [iquote('0:SpR:145.0,1739.0')] ).

cnf(6413,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(compose(a,b),compose(a,b)),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1739]),
    [iquote('0:SpR:456.0,1739.0')] ).

cnf(1748,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(compose(a,h),compose(a,b)),u,compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,365]),
    [iquote('0:SpR:145.0,365.0')] ).

cnf(8093,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(g,domain__dfg(u))),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),codomain(compose(g,domain__dfg(u))))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,8077]),
    [iquote('0:Rew:25.0,8077.0')] ).

cnf(8092,plain,
    equal(ifeq(codomain(u),codomain(compose(g,codomain(u))),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),codomain(compose(g,codomain(u))))),compose(g,codomain(u))),compose(g,codomain(u))),compose(g,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,8078]),
    [iquote('0:Rew:3.0,8078.0')] ).

cnf(7659,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(a,domain__dfg(u))),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),codomain(compose(a,domain__dfg(u))))),compose(a,domain__dfg(u))),compose(a,domain__dfg(u))),compose(a,domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,7633]),
    [iquote('0:Rew:25.0,7633.0')] ).

cnf(7658,plain,
    equal(ifeq(codomain(u),codomain(compose(a,codomain(u))),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),codomain(compose(a,codomain(u))))),compose(a,codomain(u))),compose(a,codomain(u))),compose(a,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,7634]),
    [iquote('0:Rew:3.0,7634.0')] ).

cnf(2068,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(v,domain__dfg(u))),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),codomain(compose(v,domain__dfg(u))))),compose(v,domain__dfg(u))),compose(v,domain__dfg(u))),compose(v,domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,2020]),
    [iquote('0:Rew:25.0,2020.0')] ).

cnf(8021,plain,
    equal(ifeq(codomain(h),codomain(compose(domain__dfg(u),g)),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(g,codomain(compose(domain__dfg(u),g)))),compose(domain__dfg(u),g)),compose(domain__dfg(u),g)),compose(domain__dfg(u),g)),
    inference(spr,[status(thm),theory(equality)],[2,2053]),
    [iquote('0:SpR:2.0,2053.0')] ).

cnf(8022,plain,
    equal(ifeq(codomain(h),codomain(compose(codomain(u),g)),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(g,codomain(compose(codomain(u),g)))),compose(codomain(u),g)),compose(codomain(u),g)),compose(codomain(u),g)),
    inference(spr,[status(thm),theory(equality)],[29,2053]),
    [iquote('0:SpR:29.0,2053.0')] ).

cnf(7585,plain,
    equal(ifeq(codomain(h),codomain(compose(domain__dfg(u),h)),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(h,codomain(compose(domain__dfg(u),h)))),compose(domain__dfg(u),h)),compose(domain__dfg(u),h)),compose(domain__dfg(u),h)),
    inference(spr,[status(thm),theory(equality)],[2,1992]),
    [iquote('0:SpR:2.0,1992.0')] ).

cnf(7586,plain,
    equal(ifeq(codomain(h),codomain(compose(codomain(u),h)),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(h,codomain(compose(codomain(u),h)))),compose(codomain(u),h)),compose(codomain(u),h)),compose(codomain(u),h)),
    inference(spr,[status(thm),theory(equality)],[29,1992]),
    [iquote('0:SpR:29.0,1992.0')] ).

cnf(2067,plain,
    equal(ifeq(codomain(u),codomain(compose(v,codomain(u))),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),codomain(compose(v,codomain(u))))),compose(v,codomain(u))),compose(v,codomain(u))),compose(v,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,2021]),
    [iquote('0:Rew:3.0,2021.0')] ).

cnf(7562,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(domain__dfg(u),a)),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,codomain(compose(domain__dfg(u),a)))),compose(domain__dfg(u),a)),compose(domain__dfg(u),a)),compose(domain__dfg(u),a)),
    inference(spr,[status(thm),theory(equality)],[2,2019]),
    [iquote('0:SpR:2.0,2019.0')] ).

cnf(7563,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(codomain(u),a)),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,codomain(compose(codomain(u),a)))),compose(codomain(u),a)),compose(codomain(u),a)),compose(codomain(u),a)),
    inference(spr,[status(thm),theory(equality)],[29,2019]),
    [iquote('0:SpR:29.0,2019.0')] ).

cnf(8417,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1808]),
    [iquote('0:SpR:2.0,1808.0')] ).

cnf(8418,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1808]),
    [iquote('0:SpR:29.0,1808.0')] ).

cnf(1999,plain,
    equal(ifeq(codomain(u),codomain(compose(domain__dfg(v),u)),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,codomain(compose(domain__dfg(v),u)))),compose(domain__dfg(v),u)),compose(domain__dfg(v),u)),compose(domain__dfg(v),u)),
    inference(spr,[status(thm),theory(equality)],[2,243]),
    [iquote('0:SpR:2.0,243.0')] ).

cnf(8359,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(domain__dfg(u),compose(a,b)),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1743]),
    [iquote('0:SpR:2.0,1743.0')] ).

cnf(8360,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(codomain(u),compose(a,b)),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1743]),
    [iquote('0:SpR:29.0,1743.0')] ).

cnf(8148,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1807]),
    [iquote('0:SpR:2.0,1807.0')] ).

cnf(8149,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1807]),
    [iquote('0:SpR:29.0,1807.0')] ).

cnf(2000,plain,
    equal(ifeq(codomain(u),codomain(compose(codomain(v),u)),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,codomain(compose(codomain(v),u)))),compose(codomain(v),u)),compose(codomain(v),u)),compose(codomain(v),u)),
    inference(spr,[status(thm),theory(equality)],[29,243]),
    [iquote('0:SpR:29.0,243.0')] ).

cnf(8129,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(domain__dfg(u),compose(a,b)),compose(a,h),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1742]),
    [iquote('0:SpR:2.0,1742.0')] ).

cnf(8130,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(codomain(u),compose(a,b)),compose(a,h),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1742]),
    [iquote('0:SpR:29.0,1742.0')] ).

cnf(257,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),codomain(u),compose(w,compose(codomain(u),v)),compose(compose(w,codomain(u)),v)),compose(compose(w,codomain(u)),v)),compose(compose(w,codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,226]),
    [iquote('0:Rew:3.0,226.0')] ).

cnf(217,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(codomain(w),compose(u,v)),compose(compose(codomain(w),u),v)),compose(compose(codomain(w),u),v)),compose(compose(codomain(w),u),v)),
    inference(spr,[status(thm),theory(equality)],[29,8]),
    [iquote('0:SpR:29.0,8.0')] ).

cnf(222,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(u,domain__dfg(v))),compose(compose(w,u),domain__dfg(v))),compose(compose(w,u),domain__dfg(v))),compose(compose(w,u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,8]),
    [iquote('0:SpR:25.0,8.0')] ).

cnf(8672,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),v)),compose(compose(g,codomain(u)),v)),compose(compose(g,codomain(u)),v)),compose(compose(g,codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,8651]),
    [iquote('0:Rew:3.0,8651.0')] ).

cnf(8646,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,domain__dfg(v))),compose(compose(g,u),domain__dfg(v))),compose(compose(g,u),domain__dfg(v))),compose(compose(g,u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,218]),
    [iquote('0:SpR:25.0,218.0')] ).

cnf(3476,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),v)),compose(compose(g,domain__dfg(u)),v)),compose(compose(g,domain__dfg(u)),v)),compose(compose(g,domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[144,258]),
    [iquote('0:SpR:144.0,258.0')] ).

cnf(3065,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,codomain(v))),compose(compose(g,u),codomain(v))),compose(compose(g,u),codomain(v))),compose(compose(g,u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[144,221]),
    [iquote('0:SpR:144.0,221.0')] ).

cnf(2923,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),v)),compose(compose(a,domain__dfg(u)),v)),compose(compose(a,domain__dfg(u)),v)),compose(compose(a,domain__dfg(u)),v)),
    inference(rew,[status(thm),theory(equality)],[25,2895]),
    [iquote('0:Rew:25.0,2895.0')] ).

cnf(2922,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),v)),compose(compose(a,codomain(u)),v)),compose(compose(a,codomain(u)),v)),compose(compose(a,codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,2896]),
    [iquote('0:Rew:3.0,2896.0')] ).

cnf(2890,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,codomain(v))),compose(compose(a,u),codomain(v))),compose(compose(a,u),codomain(v))),compose(compose(a,u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[3,215]),
    [iquote('0:SpR:3.0,215.0')] ).

cnf(2891,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,domain__dfg(v))),compose(compose(a,u),domain__dfg(v))),compose(compose(a,u),domain__dfg(v))),compose(compose(a,u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,215]),
    [iquote('0:SpR:25.0,215.0')] ).

cnf(2835,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),h)),compose(compose(v,domain__dfg(u)),h)),compose(compose(v,domain__dfg(u)),h)),compose(compose(v,domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[25,2805]),
    [iquote('0:Rew:25.0,2805.0')] ).

cnf(2834,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),h)),compose(compose(v,codomain(u)),h)),compose(compose(v,codomain(u)),h)),compose(compose(v,codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[3,2806]),
    [iquote('0:Rew:3.0,2806.0')] ).

cnf(2799,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,h)),compose(compose(domain__dfg(v),u),h)),compose(compose(domain__dfg(v),u),h)),compose(compose(domain__dfg(v),u),h)),
    inference(spr,[status(thm),theory(equality)],[2,219]),
    [iquote('0:SpR:2.0,219.0')] ).

cnf(2800,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,h)),compose(compose(codomain(v),u),h)),compose(compose(codomain(v),u),h)),compose(compose(codomain(v),u),h)),
    inference(spr,[status(thm),theory(equality)],[29,219]),
    [iquote('0:SpR:29.0,219.0')] ).

cnf(2717,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),g)),compose(compose(v,domain__dfg(u)),g)),compose(compose(v,domain__dfg(u)),g)),compose(compose(v,domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[25,2687]),
    [iquote('0:Rew:25.0,2687.0')] ).

cnf(2716,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),g)),compose(compose(v,codomain(u)),g)),compose(compose(v,codomain(u)),g)),compose(compose(v,codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,2688]),
    [iquote('0:Rew:3.0,2688.0')] ).

cnf(2681,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,g)),compose(compose(domain__dfg(v),u),g)),compose(compose(domain__dfg(v),u),g)),compose(compose(domain__dfg(v),u),g)),
    inference(spr,[status(thm),theory(equality)],[2,220]),
    [iquote('0:SpR:2.0,220.0')] ).

cnf(8578,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(g,u)),compose(compose(codomain(v),g),u)),compose(compose(codomain(v),g),u)),compose(compose(codomain(v),g),u)),
    inference(spr,[status(thm),theory(equality)],[29,240]),
    [iquote('0:SpR:29.0,240.0')] ).

cnf(8585,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(g,domain__dfg(u))),compose(compose(v,g),domain__dfg(u))),compose(compose(v,g),domain__dfg(u))),compose(compose(v,g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,240]),
    [iquote('0:SpR:25.0,240.0')] ).

cnf(3290,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(g,u)),compose(compose(domain__dfg(v),g),u)),compose(compose(domain__dfg(v),g),u)),compose(compose(domain__dfg(v),g),u)),
    inference(rew,[status(thm),theory(equality)],[18,3278]),
    [iquote('0:Rew:18.0,3278.0')] ).

cnf(3097,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(g,codomain(u))),compose(compose(v,g),codomain(u))),compose(compose(v,g),codomain(u))),compose(compose(v,g),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[18,3077]),
    [iquote('0:Rew:18.0,3077.0')] ).

cnf(2682,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,g)),compose(compose(codomain(v),u),g)),compose(compose(codomain(v),u),g)),compose(compose(codomain(v),u),g)),
    inference(spr,[status(thm),theory(equality)],[29,220]),
    [iquote('0:SpR:29.0,220.0')] ).

cnf(2527,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(b),compose(domain__dfg(v),compose(h,u)),compose(compose(domain__dfg(v),h),u)),compose(compose(domain__dfg(v),h),u)),compose(compose(domain__dfg(v),h),u)),
    inference(spr,[status(thm),theory(equality)],[2,210]),
    [iquote('0:SpR:2.0,210.0')] ).

cnf(504,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(u,compose(a,b)),v,ifeq(compose(compose(a,b),compose(a,b)),v,compose(a,b),u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[456,364]),
    [iquote('0:SpR:456.0,364.0')] ).

cnf(8495,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),h)),compose(compose(g,domain__dfg(u)),h)),compose(compose(g,domain__dfg(u)),h)),compose(compose(g,domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[25,8479]),
    [iquote('0:Rew:25.0,8479.0')] ).

cnf(8494,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),h)),compose(compose(g,codomain(u)),h)),compose(compose(g,codomain(u)),h)),compose(compose(g,codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[3,8480]),
    [iquote('0:Rew:3.0,8480.0')] ).

cnf(2528,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(codomain(v),compose(h,u)),compose(compose(codomain(v),h),u)),compose(compose(codomain(v),h),u)),compose(compose(codomain(v),h),u)),
    inference(spr,[status(thm),theory(equality)],[29,210]),
    [iquote('0:SpR:29.0,210.0')] ).

cnf(8457,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(g,compose(domain__dfg(u),g)),compose(compose(g,domain__dfg(u)),g)),compose(compose(g,domain__dfg(u)),g)),compose(compose(g,domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[25,8441]),
    [iquote('0:Rew:25.0,8441.0')] ).

cnf(8456,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),codomain(u),compose(g,compose(codomain(u),g)),compose(compose(g,codomain(u)),g)),compose(compose(g,codomain(u)),g)),compose(compose(g,codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,8442]),
    [iquote('0:Rew:3.0,8442.0')] ).

cnf(8323,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),h)),compose(compose(a,domain__dfg(u)),h)),compose(compose(a,domain__dfg(u)),h)),compose(compose(a,domain__dfg(u)),h)),
    inference(rew,[status(thm),theory(equality)],[25,8304]),
    [iquote('0:Rew:25.0,8304.0')] ).

cnf(8322,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),h)),compose(compose(a,codomain(u)),h)),compose(compose(a,codomain(u)),h)),compose(compose(a,codomain(u)),h)),
    inference(rew,[status(thm),theory(equality)],[3,8305]),
    [iquote('0:Rew:3.0,8305.0')] ).

cnf(2534,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(h,codomain(u))),compose(compose(v,h),codomain(u))),compose(compose(v,h),codomain(u))),compose(compose(v,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,210]),
    [iquote('0:SpR:3.0,210.0')] ).

cnf(8216,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),g)),compose(compose(a,domain__dfg(u)),g)),compose(compose(a,domain__dfg(u)),g)),compose(compose(a,domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[25,8197]),
    [iquote('0:Rew:25.0,8197.0')] ).

cnf(8215,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),g)),compose(compose(a,codomain(u)),g)),compose(compose(a,codomain(u)),g)),compose(compose(a,codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,8198]),
    [iquote('0:Rew:3.0,8198.0')] ).

cnf(8607,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,codomain(u))),compose(compose(g,g),codomain(u))),compose(compose(g,g),codomain(u))),compose(compose(g,g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,8581]),
    [iquote('0:SpR:3.0,8581.0')] ).

cnf(8608,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,domain__dfg(u))),compose(compose(g,g),domain__dfg(u))),compose(compose(g,g),domain__dfg(u))),compose(compose(g,g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,8581]),
    [iquote('0:SpR:25.0,8581.0')] ).

cnf(2535,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(h,domain__dfg(u))),compose(compose(v,h),domain__dfg(u))),compose(compose(v,h),domain__dfg(u))),compose(compose(v,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,210]),
    [iquote('0:SpR:25.0,210.0')] ).

cnf(8340,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(g,h)),compose(compose(domain__dfg(u),g),h)),compose(compose(domain__dfg(u),g),h)),compose(compose(domain__dfg(u),g),h)),
    inference(spr,[status(thm),theory(equality)],[2,2822]),
    [iquote('0:SpR:2.0,2822.0')] ).

cnf(8341,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(g,h)),compose(compose(codomain(u),g),h)),compose(compose(codomain(u),g),h)),compose(compose(codomain(u),g),h)),
    inference(spr,[status(thm),theory(equality)],[29,2822]),
    [iquote('0:SpR:29.0,2822.0')] ).

cnf(8273,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(g,g)),compose(compose(domain__dfg(u),g),g)),compose(compose(domain__dfg(u),g),g)),compose(compose(domain__dfg(u),g),g)),
    inference(spr,[status(thm),theory(equality)],[2,2704]),
    [iquote('0:SpR:2.0,2704.0')] ).

cnf(8274,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(g,g)),compose(compose(codomain(u),g),g)),compose(compose(codomain(u),g),g)),compose(compose(codomain(u),g),g)),
    inference(spr,[status(thm),theory(equality)],[29,2704]),
    [iquote('0:SpR:29.0,2704.0')] ).

cnf(2422,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(a),compose(domain__dfg(v),compose(a,u)),compose(compose(domain__dfg(v),a),u)),compose(compose(domain__dfg(v),a),u)),compose(compose(domain__dfg(v),a),u)),
    inference(spr,[status(thm),theory(equality)],[2,224]),
    [iquote('0:SpR:2.0,224.0')] ).

cnf(8257,plain,
    equal(ifeq(codomain(h),codomain(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,codomain(u))),compose(compose(g,h),codomain(u))),compose(compose(g,h),codomain(u))),compose(compose(g,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,2531]),
    [iquote('0:SpR:3.0,2531.0')] ).

cnf(8258,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,domain__dfg(u))),compose(compose(g,h),domain__dfg(u))),compose(compose(g,h),domain__dfg(u))),compose(compose(g,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,2531]),
    [iquote('0:SpR:25.0,2531.0')] ).

cnf(8239,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,codomain(u))),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,2426]),
    [iquote('0:SpR:3.0,2426.0')] ).

cnf(8240,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,2426]),
    [iquote('0:SpR:25.0,2426.0')] ).

cnf(2423,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(codomain(v),compose(a,u)),compose(compose(codomain(v),a),u)),compose(compose(codomain(v),a),u)),compose(compose(codomain(v),a),u)),
    inference(spr,[status(thm),theory(equality)],[29,224]),
    [iquote('0:SpR:29.0,224.0')] ).

cnf(8109,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(h,h)),compose(compose(domain__dfg(u),h),h)),compose(compose(domain__dfg(u),h),h)),compose(compose(domain__dfg(u),h),h)),
    inference(spr,[status(thm),theory(equality)],[2,2532]),
    [iquote('0:SpR:2.0,2532.0')] ).

cnf(8110,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(h,h)),compose(compose(codomain(u),h),h)),compose(compose(codomain(u),h),h)),compose(compose(codomain(u),h),h)),
    inference(spr,[status(thm),theory(equality)],[29,2532]),
    [iquote('0:SpR:29.0,2532.0')] ).

cnf(8049,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(h,g)),compose(compose(domain__dfg(u),h),g)),compose(compose(domain__dfg(u),h),g)),compose(compose(domain__dfg(u),h),g)),
    inference(spr,[status(thm),theory(equality)],[2,2533]),
    [iquote('0:SpR:2.0,2533.0')] ).

cnf(8050,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(h,g)),compose(compose(codomain(u),h),g)),compose(compose(codomain(u),h),g)),compose(compose(codomain(u),h),g)),
    inference(spr,[status(thm),theory(equality)],[29,2533]),
    [iquote('0:SpR:29.0,2533.0')] ).

cnf(2429,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(a,codomain(u))),compose(compose(v,a),codomain(u))),compose(compose(v,a),codomain(u))),compose(compose(v,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,224]),
    [iquote('0:SpR:3.0,224.0')] ).

cnf(7913,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,codomain(u))),compose(compose(a,a),codomain(u))),compose(compose(a,a),codomain(u))),compose(compose(a,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,2421]),
    [iquote('0:SpR:3.0,2421.0')] ).

cnf(7914,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,domain__dfg(u))),compose(compose(a,a),domain__dfg(u))),compose(compose(a,a),domain__dfg(u))),compose(compose(a,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,2421]),
    [iquote('0:SpR:25.0,2421.0')] ).

cnf(8174,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),u,ifeq(compose(compose(a,h),compose(a,b)),u,compose(a,h),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[145,367]),
    [iquote('0:SpR:145.0,367.0')] ).

cnf(8175,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(g,compose(a,b)),u,ifeq(compose(compose(a,b),compose(a,b)),u,compose(a,b),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[456,367]),
    [iquote('0:SpR:456.0,367.0')] ).

cnf(2430,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(a,domain__dfg(u))),compose(compose(v,a),domain__dfg(u))),compose(compose(v,a),domain__dfg(u))),compose(compose(v,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,224]),
    [iquote('0:SpR:25.0,224.0')] ).

cnf(2240,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),u,ifeq(compose(compose(a,b),compose(a,b)),u,compose(a,b),a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[456,368]),
    [iquote('0:SpR:456.0,368.0')] ).

cnf(7458,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(domain__dfg(v),compose(a,b)),domain__dfg(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1805]),
    [iquote('0:SpR:2.0,1805.0')] ).

cnf(7459,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(domain__dfg(v),compose(a,b)),domain__dfg(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1805]),
    [iquote('0:SpR:29.0,1805.0')] ).

cnf(7335,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(codomain(v),compose(a,b)),codomain(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1806]),
    [iquote('0:SpR:2.0,1806.0')] ).

cnf(373,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(u,compose(a,b)),v,ifeq(compose(compose(a,h),compose(a,b)),v,compose(a,h),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,318]),
    [iquote('0:Rew:353.0,318.0')] ).

cnf(7336,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(codomain(v),compose(a,b)),codomain(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1806]),
    [iquote('0:SpR:29.0,1806.0')] ).

cnf(7296,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(domain__dfg(v),compose(a,b)),compose(domain__dfg(u),compose(a,b)),domain__dfg(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1740]),
    [iquote('0:SpR:2.0,1740.0')] ).

cnf(7297,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(domain__dfg(v),compose(a,b)),compose(codomain(u),compose(a,b)),domain__dfg(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1740]),
    [iquote('0:SpR:29.0,1740.0')] ).

cnf(7098,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(v),compose(a,b)),compose(domain__dfg(u),compose(a,b)),codomain(v),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1741]),
    [iquote('0:SpR:2.0,1741.0')] ).

cnf(2239,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,compose(a,b)),u,ifeq(compose(compose(a,h),compose(a,b)),u,compose(a,h),a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[145,368]),
    [iquote('0:SpR:145.0,368.0')] ).

cnf(7099,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(v),compose(a,b)),compose(codomain(u),compose(a,b)),codomain(v),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1741]),
    [iquote('0:SpR:29.0,1741.0')] ).

cnf(1615,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),u,ifeq(compose(a,b),u,domain__dfg(a),compose(a,h)),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,374]),
    [iquote('0:SpR:145.0,374.0')] ).

cnf(1616,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),u,ifeq(compose(a,b),u,domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,374]),
    [iquote('0:SpR:456.0,374.0')] ).

cnf(8173,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),v,ifeq(compose(codomain(u),compose(a,b)),v,codomain(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[29,367]),
    [iquote('0:SpR:29.0,367.0')] ).

cnf(371,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),w,ifeq(compose(codomain(v),compose(a,b)),w,codomain(v),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,317]),
    [iquote('0:Rew:353.0,317.0')] ).

cnf(2971,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),v,ifeq(compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,372]),
    [iquote('0:SpR:144.0,372.0')] ).

cnf(6598,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),compose(a,b)),codomain(b))),compose(compose(compose(a,b),compose(a,b)),codomain(b))),
    inference(spr,[status(thm),theory(equality)],[456,524]),
    [iquote('0:SpR:456.0,524.0')] ).

cnf(6562,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),domain__dfg(a)),compose(a,b))),compose(compose(compose(a,b),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[456,431]),
    [iquote('0:SpR:456.0,431.0')] ).

cnf(6547,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,h)),compose(compose(compose(a,b),domain__dfg(a)),compose(a,h))),compose(compose(compose(a,b),domain__dfg(a)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[456,301]),
    [iquote('0:SpR:456.0,301.0')] ).

cnf(2237,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),v,ifeq(compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u),a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,368]),
    [iquote('0:SpR:2.0,368.0')] ).

cnf(6532,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,h)),compose(compose(compose(a,b),compose(a,h)),codomain(h))),compose(compose(compose(a,b),compose(a,h)),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[456,290]),
    [iquote('0:SpR:456.0,290.0')] ).

cnf(6397,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,h)),compose(compose(compose(a,h),domain__dfg(a)),compose(a,h))),compose(compose(compose(a,h),domain__dfg(a)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,1584]),
    [iquote('0:SpR:125.0,1584.0')] ).

cnf(6398,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,b)),compose(compose(compose(a,h),domain__dfg(a)),compose(a,b))),compose(compose(compose(a,h),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,1584]),
    [iquote('0:SpR:353.0,1584.0')] ).

cnf(6377,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,h)),compose(compose(compose(a,h),compose(a,h)),codomain(h))),compose(compose(compose(a,h),compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[125,6353]),
    [iquote('0:Rew:125.0,6353.0')] ).

cnf(2238,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),v,ifeq(compose(codomain(u),compose(a,b)),v,codomain(u),a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[29,368]),
    [iquote('0:SpR:29.0,368.0')] ).

cnf(6376,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,b)),compose(compose(compose(a,h),compose(a,b)),codomain(b))),compose(compose(compose(a,h),compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[353,6354]),
    [iquote('0:Rew:353.0,6354.0')] ).

cnf(7112,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(g,compose(a,b)),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1809]),
    [iquote('0:SpR:2.0,1809.0')] ).

cnf(7113,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(g,compose(a,b)),g,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1809]),
    [iquote('0:SpR:29.0,1809.0')] ).

cnf(7066,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(domain__dfg(u),compose(a,b)),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1744]),
    [iquote('0:SpR:2.0,1744.0')] ).

cnf(1811,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(v,compose(a,b)),v,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,366]),
    [iquote('0:SpR:2.0,366.0')] ).

cnf(7067,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(codomain(u),compose(a,b)),g,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1744]),
    [iquote('0:SpR:29.0,1744.0')] ).

cnf(6429,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(a,compose(a,b)),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1804]),
    [iquote('0:SpR:2.0,1804.0')] ).

cnf(6430,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(a,compose(a,b)),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1804]),
    [iquote('0:SpR:29.0,1804.0')] ).

cnf(6410,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(domain__dfg(u),compose(a,b)),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1739]),
    [iquote('0:SpR:2.0,1739.0')] ).

cnf(1812,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(v,compose(a,b)),v,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,366]),
    [iquote('0:SpR:29.0,366.0')] ).

cnf(6411,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(codomain(u),compose(a,b)),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1739]),
    [iquote('0:SpR:29.0,1739.0')] ).

cnf(218,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,v)),compose(compose(g,u),v)),compose(compose(g,u),v)),compose(compose(g,u),v)),
    inference(spr,[status(thm),theory(equality)],[144,8]),
    [iquote('0:SpR:144.0,8.0')] ).

cnf(8581,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,u)),compose(compose(g,g),u)),compose(compose(g,g),u)),compose(compose(g,g),u)),
    inference(spr,[status(thm),theory(equality)],[144,240]),
    [iquote('0:SpR:144.0,240.0')] ).

cnf(240,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(g,u)),compose(compose(v,g),u)),compose(compose(v,g),u)),compose(compose(v,g),u)),
    inference(rew,[status(thm),theory(equality)],[18,227]),
    [iquote('0:Rew:18.0,227.0')] ).

cnf(1746,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(v,compose(a,b)),compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,365]),
    [iquote('0:SpR:2.0,365.0')] ).

cnf(369,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(u,compose(a,b)),v,ifeq(compose(g,compose(a,b)),v,g,u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,319]),
    [iquote('0:Rew:353.0,319.0')] ).

cnf(2803,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,h)),compose(compose(g,u),h)),compose(compose(g,u),h)),compose(compose(g,u),h)),
    inference(spr,[status(thm),theory(equality)],[144,219]),
    [iquote('0:SpR:144.0,219.0')] ).

cnf(2685,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,g)),compose(compose(g,u),g)),compose(compose(g,u),g)),compose(compose(g,u),g)),
    inference(spr,[status(thm),theory(equality)],[144,220]),
    [iquote('0:SpR:144.0,220.0')] ).

cnf(1808,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[456,366]),
    [iquote('0:SpR:456.0,366.0')] ).

cnf(1747,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(v,compose(a,b)),compose(codomain(u),compose(a,b)),v,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,365]),
    [iquote('0:SpR:29.0,365.0')] ).

cnf(1743,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(u,compose(a,b)),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[456,365]),
    [iquote('0:SpR:456.0,365.0')] ).

cnf(8344,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,h)),compose(compose(g,g),h)),compose(compose(g,g),h)),compose(compose(g,g),h)),
    inference(spr,[status(thm),theory(equality)],[144,2822]),
    [iquote('0:SpR:144.0,2822.0')] ).

cnf(2822,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(u,compose(g,h)),compose(compose(u,g),h)),compose(compose(u,g),h)),compose(compose(u,g),h)),
    inference(rew,[status(thm),theory(equality)],[18,2809]),
    [iquote('0:Rew:18.0,2809.0')] ).

cnf(8277,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,g)),compose(compose(g,g),g)),compose(compose(g,g),g)),compose(compose(g,g),g)),
    inference(spr,[status(thm),theory(equality)],[144,2704]),
    [iquote('0:SpR:144.0,2704.0')] ).

cnf(2798,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,h)),compose(compose(a,u),h)),compose(compose(a,u),h)),compose(compose(a,u),h)),
    inference(spr,[status(thm),theory(equality)],[10,219]),
    [iquote('0:SpR:10.0,219.0')] ).

cnf(2704,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(u,compose(g,g)),compose(compose(u,g),g)),compose(compose(u,g),g)),compose(compose(u,g),g)),
    inference(rew,[status(thm),theory(equality)],[18,2691]),
    [iquote('0:Rew:18.0,2691.0')] ).

cnf(2531,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,u)),compose(compose(g,h),u)),compose(compose(g,h),u)),compose(compose(g,h),u)),
    inference(spr,[status(thm),theory(equality)],[144,210]),
    [iquote('0:SpR:144.0,210.0')] ).

cnf(2426,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,u)),compose(compose(g,a),u)),compose(compose(g,a),u)),compose(compose(g,a),u)),
    inference(spr,[status(thm),theory(equality)],[144,224]),
    [iquote('0:SpR:144.0,224.0')] ).

cnf(8176,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),u,ifeq(compose(g,compose(a,b)),u,g,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,367]),
    [iquote('0:SpR:144.0,367.0')] ).

cnf(2680,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,g)),compose(compose(a,u),g)),compose(compose(a,u),g)),compose(compose(a,u),g)),
    inference(spr,[status(thm),theory(equality)],[10,220]),
    [iquote('0:SpR:10.0,220.0')] ).

cnf(367,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),v,ifeq(compose(u,compose(a,b)),v,u,g),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[353,324]),
    [iquote('0:Rew:353.0,324.0')] ).

cnf(2348,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(g,compose(a,b)),u,ifeq(compose(a,compose(a,b)),u,a,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,370]),
    [iquote('0:SpR:144.0,370.0')] ).

cnf(2241,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,compose(a,b)),u,ifeq(compose(g,compose(a,b)),u,g,a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[144,368]),
    [iquote('0:SpR:144.0,368.0')] ).

cnf(1653,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(compose(a,b),compose(a,b)),u,compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[456,378]),
    [iquote('0:SpR:456.0,378.0')] ).

cnf(1807,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[145,366]),
    [iquote('0:SpR:145.0,366.0')] ).

cnf(8113,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,h)),compose(compose(g,h),h)),compose(compose(g,h),h)),compose(compose(g,h),h)),
    inference(spr,[status(thm),theory(equality)],[144,2532]),
    [iquote('0:SpR:144.0,2532.0')] ).

cnf(8053,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,g)),compose(compose(g,h),g)),compose(compose(g,h),g)),compose(compose(g,h),g)),
    inference(spr,[status(thm),theory(equality)],[144,2533]),
    [iquote('0:SpR:144.0,2533.0')] ).

cnf(6516,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[145,1815]),
    [iquote('0:SpR:145.0,1815.0')] ).

cnf(6517,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[456,1815]),
    [iquote('0:SpR:456.0,1815.0')] ).

cnf(1742,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(u,compose(a,b)),compose(a,h),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[145,365]),
    [iquote('0:SpR:145.0,365.0')] ).

cnf(6450,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(g,compose(a,b)),compose(a,h),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[145,1750]),
    [iquote('0:SpR:145.0,1750.0')] ).

cnf(6451,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(g,compose(a,b)),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[456,1750]),
    [iquote('0:SpR:456.0,1750.0')] ).

cnf(6338,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(compose(a,h),compose(a,b)),compose(a,h),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[145,1810]),
    [iquote('0:SpR:145.0,1810.0')] ).

cnf(6339,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(compose(a,b),compose(a,b)),compose(a,b),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[456,1810]),
    [iquote('0:SpR:456.0,1810.0')] ).

cnf(2532,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(u,compose(h,h)),compose(compose(u,h),h)),compose(compose(u,h),h)),compose(compose(u,h),h)),
    inference(spr,[status(thm),theory(equality)],[17,210]),
    [iquote('0:SpR:17.0,210.0')] ).

cnf(6319,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(a,compose(a,b)),compose(a,h),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[145,1745]),
    [iquote('0:SpR:145.0,1745.0')] ).

cnf(6320,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(a,compose(a,b)),compose(a,b),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[456,1745]),
    [iquote('0:SpR:456.0,1745.0')] ).

cnf(2003,plain,
    equal(ifeq(codomain(u),codomain(compose(g,u)),ifeq(codomain(h),domain__dfg(u),compose(g,compose(u,codomain(compose(g,u)))),compose(g,u)),compose(g,u)),compose(g,u)),
    inference(spr,[status(thm),theory(equality)],[144,243]),
    [iquote('0:SpR:144.0,243.0')] ).

cnf(8025,plain,
    equal(ifeq(codomain(h),codomain(compose(g,g)),ifeq(codomain(h),domain__dfg(b),compose(g,compose(g,codomain(compose(g,g)))),compose(g,g)),compose(g,g)),compose(g,g)),
    inference(spr,[status(thm),theory(equality)],[144,2053]),
    [iquote('0:SpR:144.0,2053.0')] ).

cnf(2533,plain,
    equal(ifeq(codomain(h),domain__dfg(b),ifeq(codomain(u),domain__dfg(b),compose(u,compose(h,g)),compose(compose(u,h),g)),compose(compose(u,h),g)),compose(compose(u,h),g)),
    inference(spr,[status(thm),theory(equality)],[18,210]),
    [iquote('0:SpR:18.0,210.0')] ).

cnf(2053,plain,
    equal(ifeq(codomain(h),codomain(compose(u,g)),ifeq(codomain(u),domain__dfg(b),compose(u,compose(g,codomain(compose(u,g)))),compose(u,g)),compose(u,g)),compose(u,g)),
    inference(rew,[status(thm),theory(equality)],[18,2024]),
    [iquote('0:Rew:18.0,2024.0')] ).

cnf(6128,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),domain__dfg(u)),compose(compose(compose(a,h),domain__dfg(u)),domain__dfg(u))),compose(compose(compose(a,h),domain__dfg(u)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,262]),
    [iquote('0:SpR:145.0,262.0')] ).

cnf(6129,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),domain__dfg(u)),compose(compose(compose(a,b),domain__dfg(u)),domain__dfg(u))),compose(compose(compose(a,b),domain__dfg(u)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,262]),
    [iquote('0:SpR:456.0,262.0')] ).

cnf(5759,plain,
    equal(ifeq(codomain(h),codomain(u),compose(compose(a,h),codomain(u)),compose(compose(compose(a,h),codomain(u)),codomain(u))),compose(compose(compose(a,h),codomain(u)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,261]),
    [iquote('0:SpR:145.0,261.0')] ).

cnf(2421,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,u)),compose(compose(a,a),u)),compose(compose(a,a),u)),compose(compose(a,a),u)),
    inference(spr,[status(thm),theory(equality)],[10,224]),
    [iquote('0:SpR:10.0,224.0')] ).

cnf(5760,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(a,b),codomain(u)),compose(compose(compose(a,b),codomain(u)),codomain(u))),compose(compose(compose(a,b),codomain(u)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,261]),
    [iquote('0:SpR:456.0,261.0')] ).

cnf(6233,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,h)),compose(compose(codomain(u),domain__dfg(a)),compose(a,h))),compose(compose(codomain(u),domain__dfg(a)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,1583]),
    [iquote('0:SpR:125.0,1583.0')] ).

cnf(6234,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,b)),compose(compose(codomain(u),domain__dfg(a)),compose(a,b))),compose(compose(codomain(u),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,1583]),
    [iquote('0:SpR:353.0,1583.0')] ).

cnf(5944,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,h)),compose(compose(codomain(u),compose(a,h)),codomain(h))),compose(compose(codomain(u),compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[125,5902]),
    [iquote('0:Rew:125.0,5902.0')] ).

cnf(2236,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),u,ifeq(compose(a,compose(a,b)),u,a,a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,368]),
    [iquote('0:SpR:10.0,368.0')] ).

cnf(5943,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,b)),compose(compose(codomain(u),compose(a,b)),codomain(b))),compose(compose(codomain(u),compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[353,5903]),
    [iquote('0:Rew:353.0,5903.0')] ).

cnf(3320,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,h)),compose(compose(domain__dfg(u),compose(a,h)),codomain(h))),compose(compose(domain__dfg(u),compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[1,3240,145,3,125]),
    [iquote('0:Rew:1.0,3240.0,145.0,3240.0,3.0,3240.0,125.0,3240.0')] ).

cnf(3319,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,b)),compose(compose(domain__dfg(u),compose(a,b)),codomain(b))),compose(compose(domain__dfg(u),compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,3241,456,3,353]),
    [iquote('0:Rew:1.0,3241.0,456.0,3241.0,3.0,3241.0,353.0,3241.0')] ).

cnf(3318,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,h)),compose(compose(domain__dfg(u),domain__dfg(a)),compose(a,h))),compose(compose(domain__dfg(u),domain__dfg(a)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[1,3236,2,125,25]),
    [iquote('0:Rew:1.0,3236.0,2.0,3236.0,125.0,3236.0,25.0,3236.0')] ).

cnf(1652,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(compose(a,h),compose(a,b)),u,compose(a,h),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[145,378]),
    [iquote('0:SpR:145.0,378.0')] ).

cnf(3317,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,b)),compose(compose(domain__dfg(u),domain__dfg(a)),compose(a,b))),compose(compose(domain__dfg(u),domain__dfg(a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,3244,2,353,25]),
    [iquote('0:Rew:1.0,3244.0,2.0,3244.0,353.0,3244.0,25.0,3244.0')] ).

cnf(7589,plain,
    equal(ifeq(codomain(h),codomain(compose(g,h)),ifeq(codomain(h),domain__dfg(b),compose(g,compose(h,codomain(compose(g,h)))),compose(g,h)),compose(g,h)),compose(g,h)),
    inference(spr,[status(thm),theory(equality)],[144,1992]),
    [iquote('0:SpR:144.0,1992.0')] ).

cnf(7561,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(a,a)),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,codomain(compose(a,a)))),compose(a,a)),compose(a,a)),compose(a,a)),
    inference(spr,[status(thm),theory(equality)],[10,2019]),
    [iquote('0:SpR:10.0,2019.0')] ).

cnf(7566,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(g,a)),ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,codomain(compose(g,a)))),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[144,2019]),
    [iquote('0:SpR:144.0,2019.0')] ).

cnf(1998,plain,
    equal(ifeq(codomain(u),codomain(compose(a,u)),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,codomain(compose(a,u)))),compose(a,u)),compose(a,u)),compose(a,u)),
    inference(spr,[status(thm),theory(equality)],[10,243]),
    [iquote('0:SpR:10.0,243.0')] ).

cnf(5083,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(codomain(b),compose(a,h))),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,523]),
    [iquote('0:SpR:125.0,523.0')] ).

cnf(5084,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(codomain(b),compose(a,b))),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,523]),
    [iquote('0:SpR:353.0,523.0')] ).

cnf(5068,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(domain__dfg(a),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,476]),
    [iquote('0:SpR:125.0,476.0')] ).

cnf(5069,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(domain__dfg(a),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,476]),
    [iquote('0:SpR:353.0,476.0')] ).

cnf(1992,plain,
    equal(ifeq(codomain(h),codomain(compose(u,h)),ifeq(codomain(u),domain__dfg(b),compose(u,compose(h,codomain(compose(u,h)))),compose(u,h)),compose(u,h)),compose(u,h)),
    inference(spr,[status(thm),theory(equality)],[17,243]),
    [iquote('0:SpR:17.0,243.0')] ).

cnf(5053,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(a),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,300]),
    [iquote('0:SpR:125.0,300.0')] ).

cnf(5054,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(a),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,300]),
    [iquote('0:SpR:353.0,300.0')] ).

cnf(5038,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(codomain(h),compose(a,h))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,289]),
    [iquote('0:SpR:125.0,289.0')] ).

cnf(5039,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(codomain(h),compose(a,b))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,289]),
    [iquote('0:SpR:353.0,289.0')] ).

cnf(2019,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(u,a)),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,codomain(compose(u,a)))),compose(u,a)),compose(u,a)),compose(u,a)),
    inference(spr,[status(thm),theory(equality)],[10,243]),
    [iquote('0:SpR:10.0,243.0')] ).

cnf(6514,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(domain__dfg(u),compose(a,b)),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,1815]),
    [iquote('0:SpR:2.0,1815.0')] ).

cnf(6515,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(codomain(u),compose(a,b)),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[29,1815]),
    [iquote('0:SpR:29.0,1815.0')] ).

cnf(6448,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(g,compose(a,b)),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,1750]),
    [iquote('0:SpR:2.0,1750.0')] ).

cnf(6449,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(g,compose(a,b)),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[29,1750]),
    [iquote('0:SpR:29.0,1750.0')] ).

cnf(1805,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(domain__dfg(v),compose(a,b)),domain__dfg(v),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[2,366]),
    [iquote('0:SpR:2.0,366.0')] ).

cnf(6336,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(domain__dfg(u),compose(a,b)),domain__dfg(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,1810]),
    [iquote('0:SpR:2.0,1810.0')] ).

cnf(6337,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(codomain(u),compose(a,b)),codomain(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[29,1810]),
    [iquote('0:SpR:29.0,1810.0')] ).

cnf(6317,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(a,compose(a,b)),domain__dfg(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,1745]),
    [iquote('0:SpR:2.0,1745.0')] ).

cnf(6318,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(a,compose(a,b)),codomain(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[29,1745]),
    [iquote('0:SpR:29.0,1745.0')] ).

cnf(1806,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(codomain(v),compose(a,b)),codomain(v),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[29,366]),
    [iquote('0:SpR:29.0,366.0')] ).

cnf(3647,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(a,b),domain__dfg(a),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1608]),
    [iquote('0:SpR:145.0,1608.0')] ).

cnf(3648,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(a,b),domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1608]),
    [iquote('0:SpR:456.0,1608.0')] ).

cnf(3579,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),compose(compose(a,h),compose(a,b)),domain__dfg(a),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1611]),
    [iquote('0:SpR:145.0,1611.0')] ).

cnf(3580,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),compose(compose(a,b),compose(a,b)),domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1611]),
    [iquote('0:SpR:456.0,1611.0')] ).

cnf(1740,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(domain__dfg(v),compose(a,b)),compose(u,compose(a,b)),domain__dfg(v),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[2,365]),
    [iquote('0:SpR:2.0,365.0')] ).

cnf(5940,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(codomain(u),domain__dfg(v)),compose(compose(codomain(u),domain__dfg(v)),domain__dfg(v))),compose(compose(codomain(u),domain__dfg(v)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[25,5900]),
    [iquote('0:Rew:25.0,5900.0')] ).

cnf(5758,plain,
    equal(ifeq(codomain(u),codomain(v),compose(codomain(u),codomain(v)),compose(compose(codomain(u),codomain(v)),codomain(v))),compose(compose(codomain(u),codomain(v)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[29,261]),
    [iquote('0:SpR:29.0,261.0')] ).

cnf(3312,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),compose(domain__dfg(u),domain__dfg(v)),compose(compose(domain__dfg(u),domain__dfg(v)),domain__dfg(v))),compose(compose(domain__dfg(u),domain__dfg(v)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[1,3233,2,25]),
    [iquote('0:Rew:1.0,3233.0,2.0,3233.0,25.0,3233.0')] ).

cnf(1809,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(g,compose(a,b)),g,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[144,366]),
    [iquote('0:SpR:144.0,366.0')] ).

cnf(1741,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(codomain(v),compose(a,b)),compose(u,compose(a,b)),codomain(v),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[29,365]),
    [iquote('0:SpR:29.0,365.0')] ).

cnf(1744,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(u,compose(a,b)),g,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[144,365]),
    [iquote('0:SpR:144.0,365.0')] ).

cnf(1585,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),u),compose(compose(compose(a,b),domain__dfg(u)),u)),compose(compose(compose(a,b),domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[456,256]),
    [iquote('0:SpR:456.0,256.0')] ).

cnf(1508,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),u),compose(compose(compose(a,b),u),codomain(u))),compose(compose(compose(a,b),u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[456,249]),
    [iquote('0:SpR:456.0,249.0')] ).

cnf(4512,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(domain__dfg(u),compose(a,h))),compose(domain__dfg(u),compose(a,h))),compose(domain__dfg(u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,251]),
    [iquote('0:SpR:125.0,251.0')] ).

cnf(1613,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),v,ifeq(compose(a,b),v,domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,374]),
    [iquote('0:SpR:2.0,374.0')] ).

cnf(4513,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(domain__dfg(u),compose(a,b))),compose(domain__dfg(u),compose(a,b))),compose(domain__dfg(u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,251]),
    [iquote('0:SpR:353.0,251.0')] ).

cnf(4462,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(codomain(u),compose(a,h))),compose(codomain(u),compose(a,h))),compose(codomain(u),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,250]),
    [iquote('0:SpR:125.0,250.0')] ).

cnf(4463,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(codomain(u),compose(a,b))),compose(codomain(u),compose(a,b))),compose(codomain(u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,250]),
    [iquote('0:SpR:353.0,250.0')] ).

cnf(4686,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(codomain(h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[145,1320]),
    [iquote('0:SpR:145.0,1320.0')] ).

cnf(1614,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),v,ifeq(compose(a,b),v,domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,374]),
    [iquote('0:SpR:29.0,374.0')] ).

cnf(4687,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(codomain(b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[456,1320]),
    [iquote('0:SpR:456.0,1320.0')] ).

cnf(4585,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(a),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[125,4569]),
    [iquote('0:Rew:125.0,4569.0')] ).

cnf(4584,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(domain__dfg(a),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[353,4570]),
    [iquote('0:Rew:353.0,4570.0')] ).

cnf(3116,plain,
    equal(ifeq(codomain(h),codomain(u),compose(domain__dfg(a),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[145,3029,1,2,125]),
    [iquote('0:Rew:145.0,3029.0,1.0,3029.0,2.0,3029.0,125.0,3029.0')] ).

cnf(1650,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(domain__dfg(u),compose(a,b)),v,domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,378]),
    [iquote('0:SpR:2.0,378.0')] ).

cnf(3115,plain,
    equal(ifeq(codomain(b),codomain(u),compose(domain__dfg(a),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[456,3037,1,2,353]),
    [iquote('0:Rew:456.0,3037.0,1.0,3037.0,2.0,3037.0,353.0,3037.0')] ).

cnf(3111,plain,
    equal(ifeq(codomain(h),codomain(u),compose(compose(a,h),compose(codomain(h),codomain(u))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[29,3033,1,145,3]),
    [iquote('0:Rew:29.0,3033.0,1.0,3033.0,145.0,3033.0,3.0,3033.0')] ).

cnf(3110,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(b),codomain(u))),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[29,3034,1,456,3]),
    [iquote('0:Rew:29.0,3034.0,1.0,3034.0,456.0,3034.0,3.0,3034.0')] ).

cnf(524,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,b)),compose(compose(u,compose(a,b)),codomain(b))),compose(compose(u,compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,517,456,3,353]),
    [iquote('0:Rew:1.0,517.0,456.0,517.0,3.0,517.0,353.0,517.0')] ).

cnf(1651,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(codomain(u),compose(a,b)),v,codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[29,378]),
    [iquote('0:SpR:29.0,378.0')] ).

cnf(431,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,b)),compose(compose(u,domain__dfg(a)),compose(a,b))),compose(compose(u,domain__dfg(a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,419,2,353,25]),
    [iquote('0:Rew:1.0,419.0,2.0,419.0,353.0,419.0,25.0,419.0')] ).

cnf(301,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,h)),compose(compose(u,domain__dfg(a)),compose(a,h))),compose(compose(u,domain__dfg(a)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[1,294,2,125,25]),
    [iquote('0:Rew:1.0,294.0,2.0,294.0,125.0,294.0,25.0,294.0')] ).

cnf(290,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,h)),compose(compose(u,compose(a,h)),codomain(h))),compose(compose(u,compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[1,283,145,3,125]),
    [iquote('0:Rew:1.0,283.0,145.0,283.0,3.0,283.0,125.0,283.0')] ).

cnf(1815,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(u,compose(a,b)),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,366]),
    [iquote('0:SpR:144.0,366.0')] ).

cnf(3311,plain,
    equal(ifeq(domain__dfg(u),codomain(v),compose(domain__dfg(u),codomain(v)),compose(compose(domain__dfg(u),codomain(v)),codomain(v))),compose(compose(domain__dfg(u),codomain(v)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[1,3238,29,3]),
    [iquote('0:Rew:1.0,3238.0,29.0,3238.0,3.0,3238.0')] ).

cnf(1750,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(g,compose(a,b)),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,365]),
    [iquote('0:SpR:144.0,365.0')] ).

cnf(1654,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(g,compose(a,b)),u,g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[144,378]),
    [iquote('0:SpR:144.0,378.0')] ).

cnf(6433,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(a,compose(a,b)),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,1804]),
    [iquote('0:SpR:144.0,1804.0')] ).

cnf(6414,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(g,compose(a,b)),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,1739]),
    [iquote('0:SpR:144.0,1739.0')] ).

cnf(1804,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(a,compose(a,b)),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[10,366]),
    [iquote('0:SpR:10.0,366.0')] ).

cnf(6340,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(g,compose(a,b)),g,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[144,1810]),
    [iquote('0:SpR:144.0,1810.0')] ).

cnf(6321,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(a,compose(a,b)),g,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[144,1745]),
    [iquote('0:SpR:144.0,1745.0')] ).

cnf(4431,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,h)),compose(compose(g,domain__dfg(a)),compose(a,h))),compose(compose(g,domain__dfg(a)),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,1586]),
    [iquote('0:SpR:125.0,1586.0')] ).

cnf(4432,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,b)),compose(compose(g,domain__dfg(a)),compose(a,b))),compose(compose(g,domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,1586]),
    [iquote('0:SpR:353.0,1586.0')] ).

cnf(1739,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(u,compose(a,b)),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[10,365]),
    [iquote('0:SpR:10.0,365.0')] ).

cnf(4349,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,h)),compose(compose(g,compose(a,h)),codomain(h))),compose(compose(g,compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[125,4325]),
    [iquote('0:Rew:125.0,4325.0')] ).

cnf(4348,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,b)),compose(compose(g,compose(a,b)),codomain(b))),compose(compose(g,compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[353,4326]),
    [iquote('0:Rew:353.0,4326.0')] ).

cnf(3959,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(a,compose(b,compose(a,h))),compose(compose(a,b),compose(a,h))),compose(compose(a,b),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2887]),
    [iquote('0:SpR:125.0,2887.0')] ).

cnf(3960,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(a,compose(b,compose(a,b))),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2887]),
    [iquote('0:SpR:353.0,2887.0')] ).

cnf(1584,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),u),compose(compose(compose(a,h),domain__dfg(u)),u)),compose(compose(compose(a,h),domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[145,256]),
    [iquote('0:SpR:145.0,256.0')] ).

cnf(3945,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(a,compose(h,compose(a,h))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,2544]),
    [iquote('0:SpR:125.0,2544.0')] ).

cnf(3946,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(a,compose(h,compose(a,b))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,2544]),
    [iquote('0:SpR:353.0,2544.0')] ).

cnf(3924,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,h)),compose(compose(compose(a,h),a),h)),compose(compose(compose(a,h),a),h)),
    inference(spr,[status(thm),theory(equality)],[145,2436]),
    [iquote('0:SpR:145.0,2436.0')] ).

cnf(3925,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,h)),compose(compose(compose(a,b),a),h)),compose(compose(compose(a,b),a),h)),
    inference(spr,[status(thm),theory(equality)],[456,2436]),
    [iquote('0:SpR:456.0,2436.0')] ).

cnf(1507,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),u),compose(compose(compose(a,h),u),codomain(u))),compose(compose(compose(a,h),u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[145,249]),
    [iquote('0:SpR:145.0,249.0')] ).

cnf(3903,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,b)),compose(compose(compose(a,h),a),b)),compose(compose(compose(a,h),a),b)),
    inference(spr,[status(thm),theory(equality)],[145,2409]),
    [iquote('0:SpR:145.0,2409.0')] ).

cnf(3904,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),a),b)),compose(compose(compose(a,b),a),b)),
    inference(spr,[status(thm),theory(equality)],[456,2409]),
    [iquote('0:SpR:456.0,2409.0')] ).

cnf(3884,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),h),compose(compose(compose(a,h),h),codomain(h))),compose(compose(compose(a,h),h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[145,1498]),
    [iquote('0:SpR:145.0,1498.0')] ).

cnf(3885,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),h),compose(compose(compose(a,b),h),codomain(h))),compose(compose(compose(a,b),h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[456,1498]),
    [iquote('0:SpR:456.0,1498.0')] ).

cnf(1810,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(u,compose(a,b)),u,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,366]),
    [iquote('0:SpR:10.0,366.0')] ).

cnf(3865,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),h),compose(compose(compose(a,h),domain__dfg(b)),h)),compose(compose(compose(a,h),domain__dfg(b)),h)),
    inference(spr,[status(thm),theory(equality)],[145,255]),
    [iquote('0:SpR:145.0,255.0')] ).

cnf(3866,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),h),compose(compose(compose(a,b),domain__dfg(b)),h)),compose(compose(compose(a,b),domain__dfg(b)),h)),
    inference(spr,[status(thm),theory(equality)],[456,255]),
    [iquote('0:SpR:456.0,255.0')] ).

cnf(3844,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),g),compose(compose(compose(a,h),domain__dfg(b)),g)),compose(compose(compose(a,h),domain__dfg(b)),g)),
    inference(spr,[status(thm),theory(equality)],[145,254]),
    [iquote('0:SpR:145.0,254.0')] ).

cnf(3845,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),g),compose(compose(compose(a,b),domain__dfg(b)),g)),compose(compose(compose(a,b),domain__dfg(b)),g)),
    inference(spr,[status(thm),theory(equality)],[456,254]),
    [iquote('0:SpR:456.0,254.0')] ).

cnf(1745,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(a,compose(a,b)),u,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,365]),
    [iquote('0:SpR:10.0,365.0')] ).

cnf(3826,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),g),compose(compose(compose(a,h),g),codomain(h))),compose(compose(compose(a,h),g),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[145,248]),
    [iquote('0:SpR:145.0,248.0')] ).

cnf(3827,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),g),compose(compose(compose(a,b),g),codomain(h))),compose(compose(compose(a,b),g),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[456,248]),
    [iquote('0:SpR:456.0,248.0')] ).

cnf(3810,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),a),compose(compose(compose(a,h),a),domain__dfg(b))),compose(compose(compose(a,h),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[145,247]),
    [iquote('0:SpR:145.0,247.0')] ).

cnf(3811,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),a),compose(compose(compose(a,b),a),domain__dfg(b))),compose(compose(compose(a,b),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[456,247]),
    [iquote('0:SpR:456.0,247.0')] ).

cnf(1649,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(a,compose(a,b)),u,a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[10,378]),
    [iquote('0:SpR:10.0,378.0')] ).

cnf(2935,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,h)),compose(compose(a,compose(a,h)),codomain(h))),compose(compose(a,compose(a,h)),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[1,2876,145,3,125]),
    [iquote('0:Rew:1.0,2876.0,145.0,2876.0,3.0,2876.0,125.0,2876.0')] ).

cnf(2934,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,b)),compose(compose(a,compose(a,b)),codomain(b))),compose(compose(a,compose(a,b)),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,2877,456,3,353]),
    [iquote('0:Rew:1.0,2877.0,456.0,2877.0,3.0,2877.0,353.0,2877.0')] ).

cnf(2933,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,h)),compose(compose(a,domain__dfg(a)),compose(a,h))),compose(compose(a,domain__dfg(a)),compose(a,h))),
    inference(rew,[status(thm),theory(equality)],[1,2872,2,125,25]),
    [iquote('0:Rew:1.0,2872.0,2.0,2872.0,125.0,2872.0,25.0,2872.0')] ).

cnf(2932,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,b)),compose(compose(a,domain__dfg(a)),compose(a,b))),compose(compose(a,domain__dfg(a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,2880,2,353,25]),
    [iquote('0:Rew:1.0,2880.0,2.0,2880.0,353.0,2880.0,25.0,2880.0')] ).

cnf(1453,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(a,compose(g,compose(a,h))),compose(compose(a,h),compose(a,h))),compose(compose(a,h),compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,244]),
    [iquote('0:SpR:125.0,244.0')] ).

cnf(1454,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(a,compose(g,compose(a,b))),compose(compose(a,h),compose(a,b))),compose(compose(a,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,244]),
    [iquote('0:SpR:353.0,244.0')] ).

cnf(1435,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,h)),compose(compose(compose(a,b),a),g)),compose(compose(compose(a,b),a),g)),
    inference(spr,[status(thm),theory(equality)],[456,242]),
    [iquote('0:SpR:456.0,242.0')] ).

cnf(4760,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),compose(compose(a,h),compose(a,b)),compose(a,h),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[145,1647]),
    [iquote('0:SpR:145.0,1647.0')] ).

cnf(4761,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),compose(compose(a,b),compose(a,b)),compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[456,1647]),
    [iquote('0:SpR:456.0,1647.0')] ).

cnf(1434,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(compose(a,h),compose(a,h)),compose(compose(compose(a,h),a),g)),compose(compose(compose(a,h),a),g)),
    inference(spr,[status(thm),theory(equality)],[145,242]),
    [iquote('0:SpR:145.0,242.0')] ).

cnf(4747,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(compose(a,h),compose(a,b)),compose(a,b),compose(a,h),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[145,1648]),
    [iquote('0:SpR:145.0,1648.0')] ).

cnf(4748,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),compose(a,b)),compose(a,b),compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[456,1648]),
    [iquote('0:SpR:456.0,1648.0')] ).

cnf(1582,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),compose(domain__dfg(u),v),compose(compose(domain__dfg(u),domain__dfg(v)),v)),compose(compose(domain__dfg(u),domain__dfg(v)),v)),
    inference(spr,[status(thm),theory(equality)],[2,256]),
    [iquote('0:SpR:2.0,256.0')] ).

cnf(1583,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(codomain(u),v),compose(compose(codomain(u),domain__dfg(v)),v)),compose(compose(codomain(u),domain__dfg(v)),v)),
    inference(spr,[status(thm),theory(equality)],[29,256]),
    [iquote('0:SpR:29.0,256.0')] ).

cnf(1505,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),compose(domain__dfg(u),v),compose(compose(domain__dfg(u),v),codomain(v))),compose(compose(domain__dfg(u),v),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[2,249]),
    [iquote('0:SpR:2.0,249.0')] ).

cnf(262,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(u,domain__dfg(v)),compose(compose(u,domain__dfg(v)),domain__dfg(v))),compose(compose(u,domain__dfg(v)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[1,201,2,25]),
    [iquote('0:Rew:1.0,201.0,2.0,201.0,25.0,201.0')] ).

cnf(4511,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),compose(domain__dfg(u),compose(domain__dfg(u),domain__dfg(v))),compose(domain__dfg(u),domain__dfg(v))),compose(domain__dfg(u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,251]),
    [iquote('0:SpR:25.0,251.0')] ).

cnf(4461,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(codomain(u),compose(codomain(u),domain__dfg(v))),compose(codomain(u),domain__dfg(v))),compose(codomain(u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,250]),
    [iquote('0:SpR:25.0,250.0')] ).

cnf(3102,plain,
    equal(ifeq(domain__dfg(u),codomain(v),compose(domain__dfg(u),compose(domain__dfg(u),codomain(v))),compose(domain__dfg(u),codomain(v))),compose(domain__dfg(u),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[1,3026,2,25]),
    [iquote('0:Rew:1.0,3026.0,2.0,3026.0,25.0,3026.0')] ).

cnf(1506,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(codomain(u),v),compose(compose(codomain(u),v),codomain(v))),compose(compose(codomain(u),v),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[29,249]),
    [iquote('0:SpR:29.0,249.0')] ).

cnf(4345,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(g,domain__dfg(u)),compose(compose(g,domain__dfg(u)),domain__dfg(u))),compose(compose(g,domain__dfg(u)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[25,4323]),
    [iquote('0:Rew:25.0,4323.0')] ).

cnf(4344,plain,
    equal(ifeq(codomain(h),codomain(u),compose(g,codomain(u)),compose(compose(g,codomain(u)),codomain(u))),compose(compose(g,codomain(u)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,4324]),
    [iquote('0:Rew:3.0,4324.0')] ).

cnf(2927,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(a,domain__dfg(u)),compose(compose(a,domain__dfg(u)),domain__dfg(u))),compose(compose(a,domain__dfg(u)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[1,2869,2,25]),
    [iquote('0:Rew:1.0,2869.0,2.0,2869.0,25.0,2869.0')] ).

cnf(3645,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(a,b),domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1608]),
    [iquote('0:SpR:2.0,1608.0')] ).

cnf(261,plain,
    equal(ifeq(codomain(u),codomain(v),compose(u,codomain(v)),compose(compose(u,codomain(v)),codomain(v))),compose(compose(u,codomain(v)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[1,205,29,3]),
    [iquote('0:Rew:1.0,205.0,29.0,205.0,3.0,205.0')] ).

cnf(3646,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(a,b),domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1608]),
    [iquote('0:SpR:29.0,1608.0')] ).

cnf(3577,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,b),compose(domain__dfg(u),compose(a,b)),domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1611]),
    [iquote('0:SpR:2.0,1611.0')] ).

cnf(3578,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(codomain(u),compose(a,b)),domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1611]),
    [iquote('0:SpR:29.0,1611.0')] ).

cnf(1322,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(codomain(u),compose(a,b))),compose(u,compose(a,b))),compose(u,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,236]),
    [iquote('0:SpR:353.0,236.0')] ).

cnf(3101,plain,
    equal(ifeq(codomain(u),codomain(v),compose(codomain(u),compose(codomain(u),codomain(v))),compose(codomain(u),codomain(v))),compose(codomain(u),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[1,3031,29,3]),
    [iquote('0:Rew:1.0,3031.0,29.0,3031.0,3.0,3031.0')] ).

cnf(1129,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(domain__dfg(u),compose(u,compose(a,b))),compose(u,compose(a,b))),compose(u,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,230]),
    [iquote('0:SpR:353.0,230.0')] ).

cnf(3957,plain,
    equal(ifeq(codomain(b),codomain(u),compose(a,compose(b,codomain(u))),compose(compose(a,b),codomain(u))),compose(compose(a,b),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,2887]),
    [iquote('0:SpR:3.0,2887.0')] ).

cnf(3958,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(a,compose(b,domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),compose(compose(a,b),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,2887]),
    [iquote('0:SpR:25.0,2887.0')] ).

cnf(3943,plain,
    equal(ifeq(codomain(h),codomain(u),compose(a,compose(h,codomain(u))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,2544]),
    [iquote('0:SpR:3.0,2544.0')] ).

cnf(2926,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(a,codomain(u)),compose(compose(a,codomain(u)),codomain(u))),compose(compose(a,codomain(u)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[1,2874,29,3]),
    [iquote('0:Rew:1.0,2874.0,29.0,2874.0,3.0,2874.0')] ).

cnf(3944,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(a,compose(h,domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,2544]),
    [iquote('0:SpR:25.0,2544.0')] ).

cnf(3922,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,h)),compose(compose(domain__dfg(u),a),h)),compose(compose(domain__dfg(u),a),h)),
    inference(spr,[status(thm),theory(equality)],[2,2436]),
    [iquote('0:SpR:2.0,2436.0')] ).

cnf(3923,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,h)),compose(compose(codomain(u),a),h)),compose(compose(codomain(u),a),h)),
    inference(spr,[status(thm),theory(equality)],[29,2436]),
    [iquote('0:SpR:29.0,2436.0')] ).

cnf(3901,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,b)),compose(compose(domain__dfg(u),a),b)),compose(compose(domain__dfg(u),a),b)),
    inference(spr,[status(thm),theory(equality)],[2,2409]),
    [iquote('0:SpR:2.0,2409.0')] ).

cnf(1321,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(codomain(u),compose(a,h))),compose(u,compose(a,h))),compose(u,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,236]),
    [iquote('0:SpR:125.0,236.0')] ).

cnf(3902,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,b)),compose(compose(codomain(u),a),b)),compose(compose(codomain(u),a),b)),
    inference(spr,[status(thm),theory(equality)],[29,2409]),
    [iquote('0:SpR:29.0,2409.0')] ).

cnf(3882,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),h),compose(compose(domain__dfg(u),h),codomain(h))),compose(compose(domain__dfg(u),h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[2,1498]),
    [iquote('0:SpR:2.0,1498.0')] ).

cnf(3883,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),h),compose(compose(codomain(u),h),codomain(h))),compose(compose(codomain(u),h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[29,1498]),
    [iquote('0:SpR:29.0,1498.0')] ).

cnf(3864,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),h),compose(compose(codomain(u),domain__dfg(b)),h)),compose(compose(codomain(u),domain__dfg(b)),h)),
    inference(spr,[status(thm),theory(equality)],[29,255]),
    [iquote('0:SpR:29.0,255.0')] ).

cnf(1128,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(domain__dfg(u),compose(u,compose(a,h))),compose(u,compose(a,h))),compose(u,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,230]),
    [iquote('0:SpR:125.0,230.0')] ).

cnf(3843,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),g),compose(compose(codomain(u),domain__dfg(b)),g)),compose(compose(codomain(u),domain__dfg(b)),g)),
    inference(spr,[status(thm),theory(equality)],[29,254]),
    [iquote('0:SpR:29.0,254.0')] ).

cnf(3825,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),g),compose(compose(codomain(u),g),codomain(h))),compose(compose(codomain(u),g),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[29,248]),
    [iquote('0:SpR:29.0,248.0')] ).

cnf(3809,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),a),compose(compose(codomain(u),a),domain__dfg(b))),compose(compose(codomain(u),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[29,247]),
    [iquote('0:SpR:29.0,247.0')] ).

cnf(3296,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),g),compose(compose(domain__dfg(u),g),codomain(h))),compose(compose(domain__dfg(u),g),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[1,3239,144,3,18]),
    [iquote('0:Rew:1.0,3239.0,144.0,3239.0,3.0,3239.0,18.0,3239.0')] ).

cnf(3301,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),h),compose(compose(domain__dfg(u),domain__dfg(b)),h)),compose(compose(domain__dfg(u),domain__dfg(b)),h)),
    inference(rew,[status(thm),theory(equality)],[1,3234,2,17,25]),
    [iquote('0:Rew:1.0,3234.0,2.0,3234.0,17.0,3234.0,25.0,3234.0')] ).

cnf(523,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(codomain(b),u)),compose(compose(a,b),u)),compose(compose(a,b),u)),
    inference(rew,[status(thm),theory(equality)],[29,519,1,456,3]),
    [iquote('0:Rew:29.0,519.0,1.0,519.0,456.0,519.0,3.0,519.0')] ).

cnf(476,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(domain__dfg(a),compose(compose(a,b),u)),compose(compose(a,b),u)),compose(compose(a,b),u)),
    inference(rew,[status(thm),theory(equality)],[456,430]),
    [iquote('0:Rew:456.0,430.0')] ).

cnf(300,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(a),compose(compose(a,h),u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(rew,[status(thm),theory(equality)],[145,295,1,2,125]),
    [iquote('0:Rew:145.0,295.0,1.0,295.0,2.0,295.0,125.0,295.0')] ).

cnf(289,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(compose(a,h),compose(codomain(h),u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(rew,[status(thm),theory(equality)],[29,285,1,145,3]),
    [iquote('0:Rew:29.0,285.0,1.0,285.0,145.0,285.0,3.0,285.0')] ).

cnf(3300,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),g),compose(compose(domain__dfg(u),domain__dfg(b)),g)),compose(compose(domain__dfg(u),domain__dfg(b)),g)),
    inference(rew,[status(thm),theory(equality)],[1,3235,2,18,25]),
    [iquote('0:Rew:1.0,3235.0,2.0,3235.0,18.0,3235.0,25.0,3235.0')] ).

cnf(4758,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,b),compose(domain__dfg(u),compose(a,b)),domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,1647]),
    [iquote('0:SpR:2.0,1647.0')] ).

cnf(4759,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(codomain(u),compose(a,b)),codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[29,1647]),
    [iquote('0:SpR:29.0,1647.0')] ).

cnf(4745,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),compose(a,b),domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,1648]),
    [iquote('0:SpR:2.0,1648.0')] ).

cnf(4746,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),compose(a,b)),compose(a,b),codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[29,1648]),
    [iquote('0:SpR:29.0,1648.0')] ).

cnf(3295,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),a),compose(compose(domain__dfg(u),a),domain__dfg(b))),compose(compose(domain__dfg(u),a),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,3242,10,25]),
    [iquote('0:Rew:1.0,3242.0,10.0,3242.0,25.0,3242.0')] ).

cnf(1617,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),u,ifeq(compose(a,b),u,domain__dfg(a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,374]),
    [iquote('0:SpR:144.0,374.0')] ).

cnf(3192,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(domain__dfg(a),compose(a,compose(a,h))),compose(a,compose(a,h))),compose(a,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,1130]),
    [iquote('0:SpR:125.0,1130.0')] ).

cnf(3193,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(domain__dfg(a),compose(a,compose(a,b))),compose(a,compose(a,b))),compose(a,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,1130]),
    [iquote('0:SpR:353.0,1130.0')] ).

cnf(3172,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(codomain(h),compose(a,h))),compose(g,compose(a,h))),compose(g,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,235]),
    [iquote('0:SpR:125.0,235.0')] ).

cnf(1451,plain,
    equal(ifeq(codomain(h),codomain(u),compose(a,compose(g,codomain(u))),compose(compose(a,h),codomain(u))),compose(compose(a,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,244]),
    [iquote('0:SpR:3.0,244.0')] ).

cnf(3173,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(codomain(h),compose(a,b))),compose(g,compose(a,b))),compose(g,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,235]),
    [iquote('0:SpR:353.0,235.0')] ).

cnf(3151,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(domain__dfg(b),compose(a,h))),compose(a,compose(a,h))),compose(a,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,234]),
    [iquote('0:SpR:125.0,234.0')] ).

cnf(3152,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(domain__dfg(b),compose(a,b))),compose(a,compose(a,b))),compose(a,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,234]),
    [iquote('0:SpR:353.0,234.0')] ).

cnf(3133,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(b),compose(h,compose(a,h))),compose(h,compose(a,h))),compose(h,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,229]),
    [iquote('0:SpR:125.0,229.0')] ).

cnf(1452,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(a,compose(g,domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),compose(compose(a,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,244]),
    [iquote('0:SpR:25.0,244.0')] ).

cnf(3134,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,229]),
    [iquote('0:SpR:353.0,229.0')] ).

cnf(2989,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(b),compose(g,compose(a,h))),compose(g,compose(a,h))),compose(g,compose(a,h))),
    inference(spr,[status(thm),theory(equality)],[125,228]),
    [iquote('0:SpR:125.0,228.0')] ).

cnf(2990,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(domain__dfg(b),compose(g,compose(a,b))),compose(g,compose(a,b))),compose(g,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[353,228]),
    [iquote('0:SpR:353.0,228.0')] ).

cnf(2843,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(a),compose(compose(a,h),h)),compose(compose(a,h),h)),compose(compose(a,h),h)),
    inference(rew,[status(thm),theory(equality)],[145,2779,1,2,125]),
    [iquote('0:Rew:145.0,2779.0,1.0,2779.0,2.0,2779.0,125.0,2779.0')] ).

cnf(1432,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,h)),compose(compose(domain__dfg(u),a),g)),compose(compose(domain__dfg(u),a),g)),
    inference(spr,[status(thm),theory(equality)],[2,242]),
    [iquote('0:SpR:2.0,242.0')] ).

cnf(2842,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(domain__dfg(a),compose(compose(a,b),h)),compose(compose(a,b),h)),compose(compose(a,b),h)),
    inference(rew,[status(thm),theory(equality)],[456,2787,1,2,353]),
    [iquote('0:Rew:456.0,2787.0,1.0,2787.0,2.0,2787.0,353.0,2787.0')] ).

cnf(2839,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(codomain(h),h)),compose(compose(a,h),h)),compose(compose(a,h),h)),
    inference(rew,[status(thm),theory(equality)],[29,2783,1,145,3]),
    [iquote('0:Rew:29.0,2783.0,1.0,2783.0,145.0,2783.0,3.0,2783.0')] ).

cnf(2838,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(codomain(b),h)),compose(compose(a,b),h)),compose(compose(a,b),h)),
    inference(rew,[status(thm),theory(equality)],[29,2784,1,456,3]),
    [iquote('0:Rew:29.0,2784.0,1.0,2784.0,456.0,2784.0,3.0,2784.0')] ).

cnf(2725,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(a),compose(compose(a,h),g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(rew,[status(thm),theory(equality)],[145,2661,1,2,125]),
    [iquote('0:Rew:145.0,2661.0,1.0,2661.0,2.0,2661.0,125.0,2661.0')] ).

cnf(1433,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,h)),compose(compose(codomain(u),a),g)),compose(compose(codomain(u),a),g)),
    inference(spr,[status(thm),theory(equality)],[29,242]),
    [iquote('0:SpR:29.0,242.0')] ).

cnf(2724,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(domain__dfg(a),compose(compose(a,b),g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(rew,[status(thm),theory(equality)],[456,2669,1,2,353]),
    [iquote('0:Rew:456.0,2669.0,1.0,2669.0,2.0,2669.0,353.0,2669.0')] ).

cnf(2721,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(compose(a,h),compose(codomain(h),g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(rew,[status(thm),theory(equality)],[29,2665,1,145,3]),
    [iquote('0:Rew:29.0,2665.0,1.0,2665.0,145.0,2665.0,3.0,2665.0')] ).

cnf(2720,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(compose(a,b),compose(codomain(b),g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(rew,[status(thm),theory(equality)],[29,2666,1,456,3]),
    [iquote('0:Rew:29.0,2666.0,1.0,2666.0,456.0,2666.0,3.0,2666.0')] ).

cnf(1765,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),compose(a,h),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[145,1738]),
    [iquote('0:SpR:145.0,1738.0')] ).

cnf(1612,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),u,ifeq(compose(a,b),u,domain__dfg(a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,374]),
    [iquote('0:SpR:10.0,374.0')] ).

cnf(1766,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,1738]),
    [iquote('0:SpR:456.0,1738.0')] ).

cnf(4757,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(a,compose(a,b)),a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[10,1647]),
    [iquote('0:SpR:10.0,1647.0')] ).

cnf(4762,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),compose(g,compose(a,b)),g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[144,1647]),
    [iquote('0:SpR:144.0,1647.0')] ).

cnf(4744,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(a,b),a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[10,1648]),
    [iquote('0:SpR:10.0,1648.0')] ).

cnf(1647,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(u,compose(a,b)),u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[1,378]),
    [iquote('0:SpR:1.0,378.0')] ).

cnf(4749,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(a,b),g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[144,1648]),
    [iquote('0:SpR:144.0,1648.0')] ).

cnf(1648,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(a,b),u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[1,378]),
    [iquote('0:SpR:1.0,378.0')] ).

cnf(1319,plain,
    equal(ifeq(codomain(u),codomain(v),compose(u,compose(codomain(u),codomain(v))),compose(u,codomain(v))),compose(u,codomain(v))),
    inference(spr,[status(thm),theory(equality)],[3,236]),
    [iquote('0:SpR:3.0,236.0')] ).

cnf(1320,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(u,compose(codomain(u),domain__dfg(v))),compose(u,domain__dfg(v))),compose(u,domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,236]),
    [iquote('0:SpR:25.0,236.0')] ).

cnf(1126,plain,
    equal(ifeq(codomain(u),codomain(v),compose(domain__dfg(u),compose(u,codomain(v))),compose(u,codomain(v))),compose(u,codomain(v))),
    inference(spr,[status(thm),theory(equality)],[3,230]),
    [iquote('0:SpR:3.0,230.0')] ).

cnf(1127,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(domain__dfg(u),compose(u,domain__dfg(v))),compose(u,domain__dfg(v))),compose(u,domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[25,230]),
    [iquote('0:SpR:25.0,230.0')] ).

cnf(251,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),compose(domain__dfg(u),compose(domain__dfg(u),v)),compose(domain__dfg(u),v)),compose(domain__dfg(u),v)),
    inference(rew,[status(thm),theory(equality)],[1,191,2,25]),
    [iquote('0:Rew:1.0,191.0,2.0,191.0,25.0,191.0')] ).

cnf(250,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(codomain(u),compose(codomain(u),v)),compose(codomain(u),v)),compose(codomain(u),v)),
    inference(rew,[status(thm),theory(equality)],[1,195,29,3]),
    [iquote('0:Rew:1.0,195.0,29.0,195.0,3.0,195.0')] ).

cnf(1586,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(g,u),compose(compose(g,domain__dfg(u)),u)),compose(compose(g,domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[144,256]),
    [iquote('0:SpR:144.0,256.0')] ).

cnf(1581,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(a,u),compose(compose(a,domain__dfg(u)),u)),compose(compose(a,domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[10,256]),
    [iquote('0:SpR:10.0,256.0')] ).

cnf(1504,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(a,u),compose(compose(a,u),codomain(u))),compose(compose(a,u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[10,249]),
    [iquote('0:SpR:10.0,249.0')] ).

cnf(1509,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(g,u),compose(compose(g,u),codomain(u))),compose(compose(g,u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[144,249]),
    [iquote('0:SpR:144.0,249.0')] ).

cnf(2829,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(domain__dfg(u),h)),compose(domain__dfg(u),h)),compose(domain__dfg(u),h)),
    inference(rew,[status(thm),theory(equality)],[1,2776,2,25]),
    [iquote('0:Rew:1.0,2776.0,2.0,2776.0,25.0,2776.0')] ).

cnf(2711,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),compose(domain__dfg(u),compose(domain__dfg(u),g)),compose(domain__dfg(u),g)),compose(domain__dfg(u),g)),
    inference(rew,[status(thm),theory(equality)],[1,2658,2,25]),
    [iquote('0:Rew:1.0,2658.0,2.0,2658.0,25.0,2658.0')] ).

cnf(2828,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(codomain(u),h)),compose(codomain(u),h)),compose(codomain(u),h)),
    inference(rew,[status(thm),theory(equality)],[1,2781,29,3]),
    [iquote('0:Rew:1.0,2781.0,29.0,2781.0,3.0,2781.0')] ).

cnf(3190,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(domain__dfg(a),compose(a,codomain(u))),compose(a,codomain(u))),compose(a,codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,1130]),
    [iquote('0:SpR:3.0,1130.0')] ).

cnf(3191,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(a),compose(a,domain__dfg(u))),compose(a,domain__dfg(u))),compose(a,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,1130]),
    [iquote('0:SpR:25.0,1130.0')] ).

cnf(3171,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(g,compose(codomain(h),domain__dfg(u))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,235]),
    [iquote('0:SpR:25.0,235.0')] ).

cnf(3150,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(b),domain__dfg(u))),compose(a,domain__dfg(u))),compose(a,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,234]),
    [iquote('0:SpR:25.0,234.0')] ).

cnf(2710,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(codomain(u),compose(codomain(u),g)),compose(codomain(u),g)),compose(codomain(u),g)),
    inference(rew,[status(thm),theory(equality)],[1,2663,29,3]),
    [iquote('0:Rew:1.0,2663.0,29.0,2663.0,3.0,2663.0')] ).

cnf(3132,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(b),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,229]),
    [iquote('0:SpR:25.0,229.0')] ).

cnf(3092,plain,
    equal(ifeq(codomain(h),codomain(u),compose(g,compose(codomain(h),codomain(u))),compose(g,codomain(u))),compose(g,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[29,3032,1,144,3]),
    [iquote('0:Rew:29.0,3032.0,1.0,3032.0,144.0,3032.0,3.0,3032.0')] ).

cnf(3091,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(a,compose(domain__dfg(b),codomain(u))),compose(a,codomain(u))),compose(a,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,3035,1,10,25]),
    [iquote('0:Rew:2.0,3035.0,1.0,3035.0,10.0,3035.0,25.0,3035.0')] ).

cnf(2987,plain,
    equal(ifeq(codomain(h),codomain(u),compose(domain__dfg(b),compose(g,codomain(u))),compose(g,codomain(u))),compose(g,codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,228]),
    [iquote('0:SpR:3.0,228.0')] ).

cnf(3084,plain,
    equal(ifeq(codomain(h),codomain(u),compose(domain__dfg(b),compose(h,codomain(u))),compose(h,codomain(u))),compose(h,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[1,3027,2,17]),
    [iquote('0:Rew:1.0,3027.0,2.0,3027.0,17.0,3027.0')] ).

cnf(2988,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(b),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[25,228]),
    [iquote('0:SpR:25.0,228.0')] ).

cnf(3955,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(a,compose(b,h)),compose(compose(a,b),h)),compose(compose(a,b),h)),
    inference(spr,[status(thm),theory(equality)],[17,2887]),
    [iquote('0:SpR:17.0,2887.0')] ).

cnf(3956,plain,
    equal(ifeq(codomain(b),domain__dfg(b),compose(a,compose(b,g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(spr,[status(thm),theory(equality)],[18,2887]),
    [iquote('0:SpR:18.0,2887.0')] ).

cnf(3941,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(a,compose(h,h)),compose(compose(a,h),h)),compose(compose(a,h),h)),
    inference(spr,[status(thm),theory(equality)],[17,2544]),
    [iquote('0:SpR:17.0,2544.0')] ).

cnf(2887,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(a,compose(b,u)),compose(compose(a,b),u)),compose(compose(a,b),u)),
    inference(spr,[status(thm),theory(equality)],[1,215]),
    [iquote('0:SpR:1.0,215.0')] ).

cnf(3942,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(a,compose(h,g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(spr,[status(thm),theory(equality)],[18,2544]),
    [iquote('0:SpR:18.0,2544.0')] ).

cnf(2544,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(a,compose(h,u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(rew,[status(thm),theory(equality)],[1,2526]),
    [iquote('0:Rew:1.0,2526.0')] ).

cnf(3921,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,h)),compose(compose(a,a),h)),compose(compose(a,a),h)),
    inference(spr,[status(thm),theory(equality)],[10,2436]),
    [iquote('0:SpR:10.0,2436.0')] ).

cnf(3926,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,h)),compose(compose(g,a),h)),compose(compose(g,a),h)),
    inference(spr,[status(thm),theory(equality)],[144,2436]),
    [iquote('0:SpR:144.0,2436.0')] ).

cnf(2436,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,h)),compose(compose(u,a),h)),compose(compose(u,a),h)),
    inference(rew,[status(thm),theory(equality)],[1,2427]),
    [iquote('0:Rew:1.0,2427.0')] ).

cnf(3900,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,b)),compose(compose(a,a),b)),compose(compose(a,a),b)),
    inference(spr,[status(thm),theory(equality)],[10,2409]),
    [iquote('0:SpR:10.0,2409.0')] ).

cnf(3905,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,b)),compose(compose(g,a),b)),compose(compose(g,a),b)),
    inference(spr,[status(thm),theory(equality)],[144,2409]),
    [iquote('0:SpR:144.0,2409.0')] ).

cnf(2409,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,b)),compose(compose(u,a),b)),compose(compose(u,a),b)),
    inference(spr,[status(thm),theory(equality)],[224,1]),
    [iquote('0:SpR:224.0,1.0')] ).

cnf(3886,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,h),compose(compose(g,h),codomain(h))),compose(compose(g,h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[144,1498]),
    [iquote('0:SpR:144.0,1498.0')] ).

cnf(1498,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,h),compose(compose(u,h),codomain(h))),compose(compose(u,h),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[17,249]),
    [iquote('0:SpR:17.0,249.0')] ).

cnf(3867,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,h),compose(compose(g,domain__dfg(b)),h)),compose(compose(g,domain__dfg(b)),h)),
    inference(spr,[status(thm),theory(equality)],[144,255]),
    [iquote('0:SpR:144.0,255.0')] ).

cnf(255,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,h),compose(compose(u,domain__dfg(b)),h)),compose(compose(u,domain__dfg(b)),h)),
    inference(rew,[status(thm),theory(equality)],[1,202,2,17,25]),
    [iquote('0:Rew:1.0,202.0,2.0,202.0,17.0,202.0,25.0,202.0')] ).

cnf(3846,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,g),compose(compose(g,domain__dfg(b)),g)),compose(compose(g,domain__dfg(b)),g)),
    inference(spr,[status(thm),theory(equality)],[144,254]),
    [iquote('0:SpR:144.0,254.0')] ).

cnf(3828,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,g),compose(compose(g,g),codomain(h))),compose(compose(g,g),codomain(h))),
    inference(spr,[status(thm),theory(equality)],[144,248]),
    [iquote('0:SpR:144.0,248.0')] ).

cnf(254,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,g),compose(compose(u,domain__dfg(b)),g)),compose(compose(u,domain__dfg(b)),g)),
    inference(rew,[status(thm),theory(equality)],[1,203,2,18,25]),
    [iquote('0:Rew:1.0,203.0,2.0,203.0,18.0,203.0,25.0,203.0')] ).

cnf(248,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,g),compose(compose(u,g),codomain(h))),compose(compose(u,g),codomain(h))),
    inference(rew,[status(thm),theory(equality)],[1,206,144,3,18]),
    [iquote('0:Rew:1.0,206.0,144.0,206.0,3.0,206.0,18.0,206.0')] ).

cnf(3812,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,a),compose(compose(g,a),domain__dfg(b))),compose(compose(g,a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[144,247]),
    [iquote('0:SpR:144.0,247.0')] ).

cnf(247,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,a),compose(compose(u,a),domain__dfg(b))),compose(compose(u,a),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,207,10,25]),
    [iquote('0:Rew:1.0,207.0,10.0,207.0,25.0,207.0')] ).

cnf(2916,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,a),compose(compose(a,a),domain__dfg(b))),compose(compose(a,a),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,2878,10,25]),
    [iquote('0:Rew:1.0,2878.0,10.0,2878.0,25.0,2878.0')] ).

cnf(1449,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(a,compose(g,h)),compose(compose(a,h),h)),compose(compose(a,h),h)),
    inference(spr,[status(thm),theory(equality)],[17,244]),
    [iquote('0:SpR:17.0,244.0')] ).

cnf(1450,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(a,compose(g,g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(spr,[status(thm),theory(equality)],[18,244]),
    [iquote('0:SpR:18.0,244.0')] ).

cnf(1431,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,h)),compose(compose(a,a),g)),compose(compose(a,a),g)),
    inference(spr,[status(thm),theory(equality)],[10,242]),
    [iquote('0:SpR:10.0,242.0')] ).

cnf(1436,plain,
    equal(ifeq(codomain(h),domain__dfg(a),compose(g,compose(a,h)),compose(compose(g,a),g)),compose(compose(g,a),g)),
    inference(spr,[status(thm),theory(equality)],[144,242]),
    [iquote('0:SpR:144.0,242.0')] ).

cnf(3644,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,compose(a,b)),compose(a,b),domain__dfg(a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,1608]),
    [iquote('0:SpR:10.0,1608.0')] ).

cnf(264,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(compose(u,v)),domain__dfg(u),compose(u,v),compose(compose(domain__dfg(compose(u,v)),u),v)),compose(compose(domain__dfg(compose(u,v)),u),v)),compose(compose(domain__dfg(compose(u,v)),u),v)),
    inference(rew,[status(thm),theory(equality)],[2,209]),
    [iquote('0:Rew:2.0,209.0')] ).

cnf(3649,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(g,compose(a,b)),compose(a,b),domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,1608]),
    [iquote('0:SpR:144.0,1608.0')] ).

cnf(1608,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(a,b),domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,374]),
    [iquote('0:SpR:1.0,374.0')] ).

cnf(3576,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(a,compose(a,b)),domain__dfg(a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,1611]),
    [iquote('0:SpR:10.0,1611.0')] ).

cnf(3581,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(compose(a,b),compose(g,compose(a,b)),domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,1611]),
    [iquote('0:SpR:144.0,1611.0')] ).

cnf(376,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(domain__dfg(u),compose(a,b)),w,ifeq(compose(v,compose(a,b)),w,v,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[353,321]),
    [iquote('0:Rew:353.0,321.0')] ).

cnf(1611,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(u,compose(a,b)),domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,374]),
    [iquote('0:SpR:1.0,374.0')] ).

cnf(1758,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),codomain(u),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[29,1738]),
    [iquote('0:SpR:29.0,1738.0')] ).

cnf(1757,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(a),domain__dfg(u),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,1738]),
    [iquote('0:SpR:2.0,1738.0')] ).

cnf(1618,plain,
    equal(ifeq(compose(a,b),u,ifeq(compose(a,b),u,domain__dfg(a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[1,1610,2]),
    [iquote('0:Rew:1.0,1610.0,2.0,1610.0')] ).

cnf(258,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(domain__dfg(u),v)),compose(compose(w,domain__dfg(u)),v)),compose(compose(w,domain__dfg(u)),v)),compose(compose(w,domain__dfg(u)),v)),
    inference(rew,[status(thm),theory(equality)],[25,225]),
    [iquote('0:Rew:25.0,225.0')] ).

cnf(1318,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,compose(codomain(u),g)),compose(u,g)),compose(u,g)),
    inference(spr,[status(thm),theory(equality)],[18,236]),
    [iquote('0:SpR:18.0,236.0')] ).

cnf(1317,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(u,compose(codomain(u),h)),compose(u,h)),compose(u,h)),
    inference(spr,[status(thm),theory(equality)],[17,236]),
    [iquote('0:SpR:17.0,236.0')] ).

cnf(1125,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(domain__dfg(u),compose(u,g)),compose(u,g)),compose(u,g)),
    inference(spr,[status(thm),theory(equality)],[18,230]),
    [iquote('0:SpR:18.0,230.0')] ).

cnf(1124,plain,
    equal(ifeq(codomain(u),domain__dfg(b),compose(domain__dfg(u),compose(u,h)),compose(u,h)),compose(u,h)),
    inference(spr,[status(thm),theory(equality)],[17,230]),
    [iquote('0:SpR:17.0,230.0')] ).

cnf(216,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(w),domain__dfg(u),compose(domain__dfg(w),compose(u,v)),compose(compose(domain__dfg(w),u),v)),compose(compose(domain__dfg(w),u),v)),compose(compose(domain__dfg(w),u),v)),
    inference(spr,[status(thm),theory(equality)],[2,8]),
    [iquote('0:SpR:2.0,8.0')] ).

cnf(1130,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(a),compose(a,u)),compose(a,u)),compose(a,u)),
    inference(spr,[status(thm),theory(equality)],[10,230]),
    [iquote('0:SpR:10.0,230.0')] ).

cnf(235,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(g,compose(codomain(h),u)),compose(g,u)),compose(g,u)),
    inference(rew,[status(thm),theory(equality)],[29,196,1,144,3]),
    [iquote('0:Rew:29.0,196.0,1.0,196.0,144.0,196.0,3.0,196.0')] ).

cnf(234,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(b),u)),compose(a,u)),compose(a,u)),
    inference(rew,[status(thm),theory(equality)],[2,197,1,10,25]),
    [iquote('0:Rew:2.0,197.0,1.0,197.0,10.0,197.0,25.0,197.0')] ).

cnf(229,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(b),compose(h,u)),compose(h,u)),compose(h,u)),
    inference(rew,[status(thm),theory(equality)],[1,192,2,17]),
    [iquote('0:Rew:1.0,192.0,2.0,192.0,17.0,192.0')] ).

cnf(221,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(u,codomain(v))),compose(compose(w,u),codomain(v))),compose(compose(w,u),codomain(v))),compose(compose(w,u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[3,8]),
    [iquote('0:SpR:3.0,8.0')] ).

cnf(228,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(domain__dfg(b),compose(g,u)),compose(g,u)),compose(g,u)),
    inference(rew,[status(thm),theory(equality)],[144,193,1,2,18]),
    [iquote('0:Rew:144.0,193.0,1.0,193.0,2.0,193.0,18.0,193.0')] ).

cnf(2817,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,compose(codomain(h),h)),compose(g,h)),compose(g,h)),
    inference(rew,[status(thm),theory(equality)],[29,2782,1,144,3]),
    [iquote('0:Rew:29.0,2782.0,1.0,2782.0,144.0,2782.0,3.0,2782.0')] ).

cnf(2811,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(b),compose(h,h)),compose(h,h)),compose(h,h)),
    inference(rew,[status(thm),theory(equality)],[1,2777,2,17]),
    [iquote('0:Rew:1.0,2777.0,2.0,2777.0,17.0,2777.0')] ).

cnf(2810,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(b),compose(g,h)),compose(g,h)),compose(g,h)),
    inference(rew,[status(thm),theory(equality)],[144,2778,1,2,18]),
    [iquote('0:Rew:144.0,2778.0,1.0,2778.0,2.0,2778.0,18.0,2778.0')] ).

cnf(372,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),w,ifeq(compose(domain__dfg(v),compose(a,b)),w,domain__dfg(v),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,316]),
    [iquote('0:Rew:353.0,316.0')] ).

cnf(2699,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(g,compose(codomain(h),g)),compose(g,g)),compose(g,g)),
    inference(rew,[status(thm),theory(equality)],[29,2664,1,144,3]),
    [iquote('0:Rew:29.0,2664.0,1.0,2664.0,144.0,2664.0,3.0,2664.0')] ).

cnf(2693,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(b),compose(h,g)),compose(h,g)),compose(h,g)),
    inference(rew,[status(thm),theory(equality)],[1,2659,2,17]),
    [iquote('0:Rew:1.0,2659.0,2.0,2659.0,17.0,2659.0')] ).

cnf(2692,plain,
    equal(ifeq(codomain(h),domain__dfg(b),compose(domain__dfg(b),compose(g,g)),compose(g,g)),compose(g,g)),
    inference(rew,[status(thm),theory(equality)],[144,2660,1,2,18]),
    [iquote('0:Rew:144.0,2660.0,1.0,2660.0,2.0,2660.0,18.0,2660.0')] ).

cnf(1675,plain,
    equal(ifeq(codomain(b),domain__dfg(a),codomain(compose(compose(a,b),compose(a,b))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[456,474]),
    [iquote('0:SpR:456.0,474.0')] ).

cnf(215,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,v)),compose(compose(a,u),v)),compose(compose(a,u),v)),compose(compose(a,u),v)),
    inference(spr,[status(thm),theory(equality)],[10,8]),
    [iquote('0:SpR:10.0,8.0')] ).

cnf(1674,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(compose(a,h),compose(a,b))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[145,474]),
    [iquote('0:SpR:145.0,474.0')] ).

cnf(1665,plain,
    equal(ifeq(codomain(b),domain__dfg(a),domain__dfg(compose(compose(a,b),compose(a,b))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[353,473]),
    [iquote('0:SpR:353.0,473.0')] ).

cnf(1664,plain,
    equal(ifeq(codomain(b),domain__dfg(a),domain__dfg(compose(compose(a,b),compose(a,h))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[125,473]),
    [iquote('0:SpR:125.0,473.0')] ).

cnf(1641,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(compose(a,h),compose(a,b))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[353,151]),
    [iquote('0:SpR:353.0,151.0')] ).

cnf(219,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,h)),compose(compose(v,u),h)),compose(compose(v,u),h)),compose(compose(v,u),h)),
    inference(spr,[status(thm),theory(equality)],[17,8]),
    [iquote('0:SpR:17.0,8.0')] ).

cnf(1640,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(compose(a,h),compose(a,h))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[125,151]),
    [iquote('0:SpR:125.0,151.0')] ).

cnf(1629,plain,
    equal(ifeq(codomain(b),domain__dfg(a),codomain(compose(compose(a,b),compose(a,h))),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[456,150]),
    [iquote('0:SpR:456.0,150.0')] ).

cnf(1628,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(compose(a,h),compose(a,h))),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[145,150]),
    [iquote('0:SpR:145.0,150.0')] ).

cnf(1411,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),domain__dfg(compose(domain__dfg(u),compose(a,b))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[353,130]),
    [iquote('0:SpR:353.0,130.0')] ).

cnf(220,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,g)),compose(compose(v,u),g)),compose(compose(v,u),g)),compose(compose(v,u),g)),
    inference(spr,[status(thm),theory(equality)],[18,8]),
    [iquote('0:SpR:18.0,8.0')] ).

cnf(1410,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),domain__dfg(compose(domain__dfg(u),compose(a,h))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[125,130]),
    [iquote('0:SpR:125.0,130.0')] ).

cnf(1287,plain,
    equal(ifeq(codomain(b),codomain(u),codomain(compose(compose(a,b),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[456,98]),
    [iquote('0:SpR:456.0,98.0')] ).

cnf(1286,plain,
    equal(ifeq(codomain(h),codomain(u),codomain(compose(compose(a,h),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[145,98]),
    [iquote('0:SpR:145.0,98.0')] ).

cnf(992,plain,
    equal(ifeq(codomain(u),domain__dfg(a),domain__dfg(compose(codomain(u),compose(a,b))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[353,129]),
    [iquote('0:SpR:353.0,129.0')] ).

cnf(210,plain,
    equal(ifeq(codomain(h),domain__dfg(u),ifeq(codomain(v),domain__dfg(b),compose(v,compose(h,u)),compose(compose(v,h),u)),compose(compose(v,h),u)),compose(compose(v,h),u)),
    inference(spr,[status(thm),theory(equality)],[17,8]),
    [iquote('0:SpR:17.0,8.0')] ).

cnf(991,plain,
    equal(ifeq(codomain(u),domain__dfg(a),domain__dfg(compose(codomain(u),compose(a,h))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[125,129]),
    [iquote('0:SpR:125.0,129.0')] ).

cnf(780,plain,
    equal(ifeq(codomain(b),domain__dfg(u),codomain(compose(compose(a,b),domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[456,97]),
    [iquote('0:SpR:456.0,97.0')] ).

cnf(779,plain,
    equal(ifeq(codomain(h),domain__dfg(u),codomain(compose(compose(a,h),domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[145,97]),
    [iquote('0:SpR:145.0,97.0')] ).

cnf(1381,plain,
    equal(ifeq(codomain(b),domain__dfg(u),domain__dfg(compose(compose(a,b),domain__dfg(u))),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[456,1350]),
    [iquote('0:Rew:456.0,1350.0')] ).

cnf(224,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(a),compose(v,compose(a,u)),compose(compose(v,a),u)),compose(compose(v,a),u)),compose(compose(v,a),u)),
    inference(spr,[status(thm),theory(equality)],[10,8]),
    [iquote('0:SpR:10.0,8.0')] ).

cnf(1380,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(compose(a,h),domain__dfg(u))),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[145,1349]),
    [iquote('0:Rew:145.0,1349.0')] ).

cnf(1253,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(codomain(u),compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[353,1223]),
    [iquote('0:Rew:353.0,1223.0')] ).

cnf(1252,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(codomain(u),compose(a,h))),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[125,1222]),
    [iquote('0:Rew:125.0,1222.0')] ).

cnf(890,plain,
    equal(ifeq(codomain(b),codomain(u),domain__dfg(compose(compose(a,b),codomain(u))),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[456,855]),
    [iquote('0:Rew:456.0,855.0')] ).

cnf(370,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(u,compose(a,b)),v,ifeq(compose(a,compose(a,b)),v,a,u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,315]),
    [iquote('0:Rew:353.0,315.0')] ).

cnf(889,plain,
    equal(ifeq(codomain(h),codomain(u),domain__dfg(compose(compose(a,h),codomain(u))),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[145,854]),
    [iquote('0:Rew:145.0,854.0')] ).

cnf(687,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),codomain(compose(domain__dfg(u),compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[353,649]),
    [iquote('0:Rew:353.0,649.0')] ).

cnf(686,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),codomain(compose(domain__dfg(u),compose(a,h))),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[125,648]),
    [iquote('0:Rew:125.0,648.0')] ).

cnf(1377,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),domain__dfg(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,1348]),
    [iquote('0:Rew:2.0,1348.0')] ).

cnf(368,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,compose(a,b)),v,ifeq(compose(u,compose(a,b)),v,u,a),a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[353,320]),
    [iquote('0:Rew:353.0,320.0')] ).

cnf(1249,plain,
    equal(ifeq(codomain(u),codomain(v),codomain(compose(codomain(u),codomain(v))),codomain(v)),codomain(v)),
    inference(rew,[status(thm),theory(equality)],[3,1221]),
    [iquote('0:Rew:3.0,1221.0')] ).

cnf(990,plain,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(codomain(u),domain__dfg(v))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,129]),
    [iquote('0:SpR:25.0,129.0')] ).

cnf(886,plain,
    equal(ifeq(domain__dfg(u),codomain(v),domain__dfg(compose(domain__dfg(u),codomain(v))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,853]),
    [iquote('0:Rew:2.0,853.0')] ).

cnf(885,plain,
    equal(ifeq(codomain(u),codomain(v),domain__dfg(compose(codomain(u),codomain(v))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[29,852]),
    [iquote('0:Rew:29.0,852.0')] ).

cnf(243,plain,
    equal(ifeq(codomain(u),codomain(compose(v,u)),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,codomain(compose(v,u)))),compose(v,u)),compose(v,u)),compose(v,u)),
    inference(rew,[status(thm),theory(equality)],[3,199]),
    [iquote('0:Rew:3.0,199.0')] ).

cnf(778,plain,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(codomain(u),domain__dfg(v))),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[29,97]),
    [iquote('0:SpR:29.0,97.0')] ).

cnf(683,plain,
    equal(ifeq(domain__dfg(u),codomain(v),codomain(compose(domain__dfg(u),codomain(v))),codomain(v)),codomain(v)),
    inference(rew,[status(thm),theory(equality)],[3,647]),
    [iquote('0:Rew:3.0,647.0')] ).

cnf(682,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),codomain(compose(domain__dfg(u),domain__dfg(v))),domain__dfg(v)),domain__dfg(v)),
    inference(rew,[status(thm),theory(equality)],[25,646]),
    [iquote('0:Rew:25.0,646.0')] ).

cnf(495,plain,
    equal(ifeq(codomain(b),domain__dfg(u),codomain(compose(compose(a,b),u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[456,7]),
    [iquote('0:SpR:456.0,7.0')] ).

cnf(366,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),compose(v,compose(a,b)),v,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,312]),
    [iquote('0:Rew:353.0,312.0')] ).

cnf(394,plain,
    equal(ifeq(codomain(u),domain__dfg(a),domain__dfg(compose(u,compose(a,b))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[353,6]),
    [iquote('0:SpR:353.0,6.0')] ).

cnf(1761,plain,
    equal(ifeq(codomain(h),domain__dfg(a),ifeq(codomain(h),domain__dfg(a),g,g),g),g),
    inference(spr,[status(thm),theory(equality)],[144,1738]),
    [iquote('0:SpR:144.0,1738.0')] ).

cnf(1756,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),a,a),a),a),
    inference(spr,[status(thm),theory(equality)],[10,1738]),
    [iquote('0:SpR:10.0,1738.0')] ).

cnf(1738,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(u),domain__dfg(a),u,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,365]),
    [iquote('0:SpR:1.0,365.0')] ).

cnf(365,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(v,compose(a,b)),compose(u,compose(a,b)),v,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,314]),
    [iquote('0:Rew:353.0,314.0')] ).

cnf(173,plain,
    equal(ifeq(codomain(u),domain__dfg(a),domain__dfg(compose(u,compose(a,h))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[125,6]),
    [iquote('0:SpR:125.0,6.0')] ).

cnf(149,plain,
    equal(ifeq(codomain(h),domain__dfg(u),codomain(compose(compose(a,h),u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[144,139]),
    [iquote('0:Rew:144.0,139.0')] ).

cnf(474,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(u,compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[456,393]),
    [iquote('0:Rew:456.0,393.0')] ).

cnf(473,plain,
    equal(ifeq(codomain(b),domain__dfg(u),domain__dfg(compose(compose(a,b),u)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[456,389]),
    [iquote('0:Rew:456.0,389.0')] ).

cnf(378,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(u,compose(a,b)),v,u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[353,326]),
    [iquote('0:Rew:353.0,326.0')] ).

cnf(151,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(compose(a,h),u)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[144,140,125]),
    [iquote('0:Rew:144.0,140.0,125.0,140.0')] ).

cnf(150,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(u,compose(a,h))),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[125,141,144]),
    [iquote('0:Rew:125.0,141.0,144.0,141.0')] ).

cnf(610,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(g,compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[353,591]),
    [iquote('0:Rew:353.0,591.0')] ).

cnf(609,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(g,compose(a,h))),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[125,590]),
    [iquote('0:Rew:125.0,590.0')] ).

cnf(374,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,compose(a,b)),v,ifeq(compose(a,b),v,domain__dfg(a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,325]),
    [iquote('0:Rew:353.0,325.0')] ).

cnf(583,plain,
    equal(ifeq(codomain(b),domain__dfg(b),domain__dfg(compose(compose(a,b),g)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[456,563]),
    [iquote('0:Rew:456.0,563.0')] ).

cnf(582,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(compose(a,h),g)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[145,562]),
    [iquote('0:Rew:145.0,562.0')] ).

cnf(554,plain,
    equal(ifeq(codomain(b),domain__dfg(b),domain__dfg(compose(compose(a,b),h)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[456,533]),
    [iquote('0:Rew:456.0,533.0')] ).

cnf(553,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(compose(a,h),h)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[145,532]),
    [iquote('0:Rew:145.0,532.0')] ).

cnf(256,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(u,v),compose(compose(u,domain__dfg(v)),v)),compose(compose(u,domain__dfg(v)),v)),
    inference(rew,[status(thm),theory(equality)],[1,200,2,25]),
    [iquote('0:Rew:1.0,200.0,2.0,200.0,25.0,200.0')] ).

cnf(501,plain,
    equal(ifeq(codomain(b),domain__dfg(b),codomain(compose(compose(a,b),g)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[456,146]),
    [iquote('0:SpR:456.0,146.0')] ).

cnf(499,plain,
    equal(ifeq(codomain(b),domain__dfg(b),codomain(compose(compose(a,b),h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[456,84]),
    [iquote('0:SpR:456.0,84.0')] ).

cnf(498,plain,
    equal(ifeq(codomain(b),domain__dfg(a),codomain(compose(compose(a,b),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[456,73]),
    [iquote('0:SpR:456.0,73.0')] ).

cnf(489,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(a,compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[456,472]),
    [iquote('0:Rew:456.0,472.0')] ).

cnf(249,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(u,v),compose(compose(u,v),codomain(v))),compose(compose(u,v),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[1,204,3]),
    [iquote('0:Rew:1.0,204.0,3.0,204.0')] ).

cnf(488,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(a,compose(a,h))),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[125,461]),
    [iquote('0:Rew:125.0,461.0')] ).

cnf(453,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(g,compose(a,b))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[353,147]),
    [iquote('0:SpR:353.0,147.0')] ).

cnf(452,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(g,compose(a,h))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[125,147]),
    [iquote('0:SpR:125.0,147.0')] ).

cnf(439,plain,
    equal(ifeq(codomain(h),domain__dfg(b),codomain(compose(compose(a,h),g)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[145,146]),
    [iquote('0:SpR:145.0,146.0')] ).

cnf(244,plain,
    equal(ifeq(codomain(h),domain__dfg(u),compose(a,compose(g,u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(rew,[status(thm),theory(equality)],[144,198,1,10,18]),
    [iquote('0:Rew:144.0,198.0,1.0,198.0,10.0,198.0,18.0,198.0')] ).

cnf(392,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),domain__dfg(compose(a,compose(a,b))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[353,120]),
    [iquote('0:SpR:353.0,120.0')] ).

cnf(391,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(h,compose(a,b))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[353,104]),
    [iquote('0:SpR:353.0,104.0')] ).

cnf(363,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),domain__dfg(compose(a,compose(a,h))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[125,120]),
    [iquote('0:SpR:125.0,120.0')] ).

cnf(349,plain,
    equal(ifeq(codomain(h),domain__dfg(a),domain__dfg(compose(h,compose(a,h))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[125,104]),
    [iquote('0:SpR:125.0,104.0')] ).

cnf(242,plain,
    equal(ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,h)),compose(compose(u,a),g)),compose(compose(u,a),g)),
    inference(rew,[status(thm),theory(equality)],[1,208,10,18]),
    [iquote('0:Rew:1.0,208.0,10.0,208.0,18.0,208.0')] ).

cnf(336,plain,
    equal(ifeq(codomain(h),domain__dfg(b),codomain(compose(compose(a,h),h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[145,84]),
    [iquote('0:SpR:145.0,84.0')] ).

cnf(307,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(compose(a,h),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[145,73]),
    [iquote('0:SpR:145.0,73.0')] ).

cnf(130,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),domain__dfg(compose(domain__dfg(u),v)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,107]),
    [iquote('0:Rew:2.0,107.0')] ).

cnf(119,plain,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(u,domain__dfg(v))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[25,6]),
    [iquote('0:SpR:25.0,6.0')] ).

cnf(236,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(u,compose(codomain(u),v)),compose(u,v)),compose(u,v)),
    inference(rew,[status(thm),theory(equality)],[29,194,1,3]),
    [iquote('0:Rew:29.0,194.0,1.0,194.0,3.0,194.0')] ).

cnf(98,plain,
    equal(ifeq(codomain(u),codomain(v),codomain(compose(u,codomain(v))),codomain(v)),codomain(v)),
    inference(rew,[status(thm),theory(equality)],[3,75]),
    [iquote('0:Rew:3.0,75.0')] ).

cnf(90,plain,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(codomain(u),v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[29,7]),
    [iquote('0:SpR:29.0,7.0')] ).

cnf(606,plain,
    equal(ifeq(codomain(h),codomain(u),codomain(compose(g,codomain(u))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[3,589]),
    [iquote('0:Rew:3.0,589.0')] ).

cnf(605,plain,
    equal(ifeq(codomain(h),domain__dfg(u),codomain(compose(g,domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[25,588]),
    [iquote('0:Rew:25.0,588.0')] ).

cnf(230,plain,
    equal(ifeq(codomain(u),domain__dfg(v),compose(domain__dfg(u),compose(u,v)),compose(u,v)),compose(u,v)),
    inference(rew,[status(thm),theory(equality)],[1,190,2]),
    [iquote('0:Rew:1.0,190.0,2.0,190.0')] ).

cnf(579,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,561]),
    [iquote('0:Rew:2.0,561.0')] ).

cnf(578,plain,
    equal(ifeq(codomain(u),domain__dfg(b),domain__dfg(compose(codomain(u),g)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[29,560]),
    [iquote('0:Rew:29.0,560.0')] ).

cnf(550,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),domain__dfg(compose(domain__dfg(u),h)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,531]),
    [iquote('0:Rew:2.0,531.0')] ).

cnf(549,plain,
    equal(ifeq(codomain(u),domain__dfg(b),domain__dfg(compose(codomain(u),h)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[29,530]),
    [iquote('0:Rew:29.0,530.0')] ).

cnf(129,plain,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(codomain(u),v)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[29,106]),
    [iquote('0:Rew:29.0,106.0')] ).

cnf(485,plain,
    equal(ifeq(domain__dfg(b),codomain(u),codomain(compose(a,codomain(u))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[3,460]),
    [iquote('0:Rew:3.0,460.0')] ).

cnf(484,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(a,domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[25,459]),
    [iquote('0:Rew:25.0,459.0')] ).

cnf(451,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(g,domain__dfg(u))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,147]),
    [iquote('0:SpR:25.0,147.0')] ).

cnf(450,plain,
    equal(ifeq(codomain(h),codomain(u),domain__dfg(compose(g,codomain(u))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[3,147]),
    [iquote('0:SpR:3.0,147.0')] ).

cnf(118,plain,
    equal(ifeq(codomain(u),codomain(v),domain__dfg(compose(u,codomain(v))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[3,6]),
    [iquote('0:SpR:3.0,6.0')] ).

cnf(438,plain,
    equal(ifeq(codomain(u),domain__dfg(b),codomain(compose(codomain(u),g)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[29,146]),
    [iquote('0:SpR:29.0,146.0')] ).

cnf(437,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),codomain(compose(domain__dfg(u),g)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[2,146]),
    [iquote('0:SpR:2.0,146.0')] ).

cnf(362,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(a,domain__dfg(u))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,120]),
    [iquote('0:SpR:25.0,120.0')] ).

cnf(361,plain,
    equal(ifeq(domain__dfg(b),codomain(u),domain__dfg(compose(a,codomain(u))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[3,120]),
    [iquote('0:SpR:3.0,120.0')] ).

cnf(97,plain,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(u,domain__dfg(v))),domain__dfg(v)),domain__dfg(v)),
    inference(rew,[status(thm),theory(equality)],[25,74]),
    [iquote('0:Rew:25.0,74.0')] ).

cnf(348,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(h,domain__dfg(u))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,104]),
    [iquote('0:SpR:25.0,104.0')] ).

cnf(347,plain,
    equal(ifeq(codomain(h),codomain(u),domain__dfg(compose(h,codomain(u))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[3,104]),
    [iquote('0:SpR:3.0,104.0')] ).

cnf(335,plain,
    equal(ifeq(codomain(u),domain__dfg(b),codomain(compose(codomain(u),h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[29,84]),
    [iquote('0:SpR:29.0,84.0')] ).

cnf(334,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),codomain(compose(domain__dfg(u),h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[2,84]),
    [iquote('0:SpR:2.0,84.0')] ).

cnf(89,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),codomain(compose(domain__dfg(u),v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[2,7]),
    [iquote('0:SpR:2.0,7.0')] ).

cnf(306,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(codomain(u),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[29,73]),
    [iquote('0:SpR:29.0,73.0')] ).

cnf(305,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),codomain(compose(domain__dfg(u),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,73]),
    [iquote('0:SpR:2.0,73.0')] ).

cnf(156,plain,
    equal(ifeq(codomain(h),domain__dfg(u),codomain(compose(g,u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[144,7]),
    [iquote('0:SpR:144.0,7.0')] ).

cnf(117,plain,
    equal(ifeq(codomain(u),domain__dfg(b),domain__dfg(compose(u,g)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[18,6]),
    [iquote('0:SpR:18.0,6.0')] ).

cnf(116,plain,
    equal(ifeq(codomain(u),domain__dfg(b),domain__dfg(compose(u,h)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[17,6]),
    [iquote('0:SpR:17.0,6.0')] ).

cnf(449,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(g,g)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[18,147]),
    [iquote('0:SpR:18.0,147.0')] ).

cnf(448,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(g,h)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[17,147]),
    [iquote('0:SpR:17.0,147.0')] ).

cnf(493,plain,
    equal(compose(compose(a,b),codomain(b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[456,5]),
    [iquote('0:SpR:456.0,5.0')] ).

cnf(456,plain,
    equal(codomain(compose(a,b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[88,1]),
    [iquote('0:SpR:88.0,1.0')] ).

cnf(88,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(a,u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[10,7]),
    [iquote('0:SpR:10.0,7.0')] ).

cnf(147,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(g,u)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[144,105]),
    [iquote('0:Rew:144.0,105.0')] ).

cnf(440,plain,
    equal(ifeq(codomain(h),domain__dfg(b),codomain(compose(g,g)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[144,146]),
    [iquote('0:SpR:144.0,146.0')] ).

cnf(146,plain,
    equal(ifeq(codomain(u),domain__dfg(b),codomain(compose(u,g)),codomain(h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[144,85]),
    [iquote('0:Rew:144.0,85.0')] ).

cnf(387,plain,
    equal(compose(domain__dfg(a),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[353,4]),
    [iquote('0:SpR:353.0,4.0')] ).

cnf(364,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(a),ifeq(compose(u,compose(a,b)),w,ifeq(compose(v,compose(a,b)),w,v,u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[353,9]),
    [iquote('0:Rew:353.0,9.0')] ).

cnf(353,plain,
    equal(domain__dfg(compose(a,b)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[120,1]),
    [iquote('0:SpR:120.0,1.0')] ).

cnf(120,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(a,u)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[10,6]),
    [iquote('0:SpR:10.0,6.0')] ).

cnf(346,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(h,g)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[18,104]),
    [iquote('0:SpR:18.0,104.0')] ).

cnf(345,plain,
    equal(ifeq(codomain(h),domain__dfg(b),domain__dfg(compose(h,h)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[17,104]),
    [iquote('0:SpR:17.0,104.0')] ).

cnf(104,plain,
    equal(ifeq(codomain(h),domain__dfg(u),domain__dfg(compose(h,u)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[17,6]),
    [iquote('0:SpR:17.0,6.0')] ).

cnf(337,plain,
    equal(ifeq(codomain(h),domain__dfg(b),codomain(compose(g,h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[144,84]),
    [iquote('0:SpR:144.0,84.0')] ).

cnf(84,plain,
    equal(ifeq(codomain(u),domain__dfg(b),codomain(compose(u,h)),codomain(h)),codomain(h)),
    inference(spr,[status(thm),theory(equality)],[17,7]),
    [iquote('0:SpR:17.0,7.0')] ).

cnf(308,plain,
    equal(ifeq(codomain(h),domain__dfg(a),codomain(compose(g,a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[144,73]),
    [iquote('0:SpR:144.0,73.0')] ).

cnf(304,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(a,a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[10,73]),
    [iquote('0:SpR:10.0,73.0')] ).

cnf(73,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(u,a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[10,7]),
    [iquote('0:SpR:10.0,7.0')] ).

cnf(169,plain,
    equal(compose(domain__dfg(a),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[125,4]),
    [iquote('0:SpR:125.0,4.0')] ).

cnf(148,plain,
    equal(compose(compose(a,h),codomain(h)),compose(a,h)),
    inference(rew,[status(thm),theory(equality)],[144,137]),
    [iquote('0:Rew:144.0,137.0')] ).

cnf(145,plain,
    equal(codomain(compose(a,h)),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[144,94]),
    [iquote('0:Rew:144.0,94.0')] ).

cnf(8,axiom,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(w),domain__dfg(u),compose(w,compose(u,v)),compose(compose(w,u),v)),compose(compose(w,u),v)),compose(compose(w,u),v)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(125,plain,
    equal(domain__dfg(compose(a,h)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[1,115,10,18]),
    [iquote('0:Rew:1.0,115.0,10.0,115.0,18.0,115.0')] ).

cnf(154,plain,
    equal(compose(g,codomain(h)),g),
    inference(spr,[status(thm),theory(equality)],[144,5]),
    [iquote('0:SpR:144.0,5.0')] ).

cnf(144,plain,
    equal(codomain(g),codomain(h)),
    inference(rew,[status(thm),theory(equality)],[1,142,10,17]),
    [iquote('0:Rew:1.0,142.0,10.0,142.0,17.0,142.0')] ).

cnf(6,axiom,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(u,v)),domain__dfg(u)),domain__dfg(u)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(7,axiom,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(u,v)),codomain(v)),codomain(v)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(46,plain,
    equal(compose(domain__dfg(u),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[25,4]),
    [iquote('0:SpR:25.0,4.0')] ).

cnf(45,plain,
    equal(compose(codomain(u),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[3,4]),
    [iquote('0:SpR:3.0,4.0')] ).

cnf(1,axiom,
    equal(ifeq(u,u,v,w),v),
    file('CAT001-10.p',unknown),
    [] ).

cnf(13,axiom,
    equal(compose(a,g),compose(a,h)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(50,plain,
    equal(compose(a,domain__dfg(b)),a),
    inference(spr,[status(thm),theory(equality)],[10,5]),
    [iquote('0:SpR:10.0,5.0')] ).

cnf(5,axiom,
    equal(compose(u,codomain(u)),u),
    file('CAT001-10.p',unknown),
    [] ).

cnf(44,plain,
    equal(compose(domain__dfg(b),g),g),
    inference(spr,[status(thm),theory(equality)],[18,4]),
    [iquote('0:SpR:18.0,4.0')] ).

cnf(43,plain,
    equal(compose(domain__dfg(b),h),h),
    inference(spr,[status(thm),theory(equality)],[17,4]),
    [iquote('0:SpR:17.0,4.0')] ).

cnf(4,axiom,
    equal(compose(domain__dfg(u),u),u),
    file('CAT001-10.p',unknown),
    [] ).

cnf(29,plain,
    equal(codomain(codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[3,2]),
    [iquote('0:SpR:3.0,2.0')] ).

cnf(25,plain,
    equal(domain__dfg(domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,3]),
    [iquote('0:SpR:2.0,3.0')] ).

cnf(2,axiom,
    equal(codomain(domain__dfg(u)),domain__dfg(u)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(3,axiom,
    equal(domain__dfg(codomain(u)),codomain(u)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(18,plain,
    equal(domain__dfg(g),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[17,15]),
    [iquote('0:Rew:17.0,15.0')] ).

cnf(17,plain,
    equal(domain__dfg(h),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[10,16]),
    [iquote('0:Rew:10.0,16.0')] ).

cnf(10,axiom,
    equal(codomain(a),domain__dfg(b)),
    file('CAT001-10.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(g,h),
    file('CAT001-10.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT001-10 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 17:32:10 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 7.58/7.76  
% 7.58/7.76  SPASS V 3.9 
% 7.58/7.76  SPASS beiseite: Completion found.
% 7.58/7.76  % SZS status CounterSatisfiable
% 7.58/7.76  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 7.58/7.76  SPASS derived 23340 clauses, backtracked 0 clauses, performed 0 splits and kept 1038 clauses.
% 7.58/7.76  SPASS allocated 85630 KBytes.
% 7.58/7.76  SPASS spent	0:00:07.42 on the problem.
% 7.58/7.76  		0:00:00.03 for the input.
% 7.58/7.76  		0:00:00.00 for the FLOTTER CNF translation.
% 7.58/7.76  		0:00:00.68 for inferences.
% 7.58/7.76  		0:00:00.00 for the backtracking.
% 7.58/7.76  		0:00:06.56 for the reduction.
% 7.58/7.76  
% 7.58/7.76  
% 7.58/7.76   The saturated set of worked-off clauses is :
% 7.58/7.76  % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------