%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CAT002-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 00:07:26 EDT 2022

% Result   : Satisfiable 42.58s 42.76s
% Output   : Saturation 42.82s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 200)

% Comments : 
%------------------------------------------------------------------------------
cnf(39226,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,6368]),
    [iquote('0:SpR:205.0,6368.0')] ).

cnf(39372,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,a),compose(h,compose(a,b)))),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[648,39350]),
    [iquote('0:Rew:648.0,39350.0')] ).

cnf(39371,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(g,a),compose(h,compose(a,b)))),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[519,39352]),
    [iquote('0:Rew:519.0,39352.0')] ).

cnf(39227,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,compose(a,b)),compose(h,a))),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,6368]),
    [iquote('0:SpR:648.0,6368.0')] ).

cnf(39228,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,compose(a,b)),compose(g,a))),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,6368]),
    [iquote('0:SpR:519.0,6368.0')] ).

cnf(39063,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(compose(compose(h,compose(a,b)),compose(a,b))),domain__dfg(h),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,39049]),
    [iquote('0:Rew:2.0,39049.0')] ).

cnf(38822,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(a,b),compose(h,compose(a,b)))),domain__dfg(a),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[2,38804]),
    [iquote('0:Rew:2.0,38804.0')] ).

cnf(34357,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(codomain(u),compose(h,compose(a,b)))),codomain(u),compose(codomain(u),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(codomain(u),compose(h,compose(a,b)))),codomain(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(codomain(u),compose(h,compose(a,b)))),codomain(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(codomain(u),compose(h,compose(a,b)))),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,6309]),
    [iquote('0:SpR:205.0,6309.0')] ).

cnf(33947,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(compose(domain__dfg(u),compose(h,compose(a,b)))),domain__dfg(u),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,compose(a,b)))),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,compose(a,b)))),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,compose(a,b)))),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5867]),
    [iquote('0:SpR:205.0,5867.0')] ).

cnf(34201,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(h,compose(a,b)),domain__dfg(u))),domain__dfg(h),compose(compose(h,compose(a,b)),domain__dfg(u)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),domain__dfg(u))),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),domain__dfg(u))),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),domain__dfg(u))),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,34156]),
    [iquote('0:Rew:205.0,34156.0')] ).

cnf(59503,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,33226]),
    [iquote('0:SpR:501.0,33226.0')] ).

cnf(33785,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(compose(compose(h,compose(a,b)),codomain(u))),domain__dfg(h),compose(compose(h,compose(a,b)),codomain(u)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),codomain(u))),compose(h,compose(a,b))),codomain(u))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),codomain(u))),compose(h,compose(a,b))),codomain(u))),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),codomain(u))),compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,33747]),
    [iquote('0:Rew:205.0,33747.0')] ).

cnf(46990,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,a),compose(h,a))),domain__dfg(h),compose(compose(h,a),compose(h,a)),compose(compose(domain__dfg(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a))),compose(compose(domain__dfg(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a))),compose(compose(domain__dfg(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[2,46976]),
    [iquote('0:Rew:2.0,46976.0')] ).

cnf(46970,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,a),compose(g,a))),domain__dfg(h),compose(compose(h,a),compose(g,a)),compose(compose(domain__dfg(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a))),compose(compose(domain__dfg(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a))),compose(compose(domain__dfg(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[2,46956]),
    [iquote('0:Rew:2.0,46956.0')] ).

cnf(46842,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(g,a),compose(h,a))),domain__dfg(h),compose(compose(g,a),compose(h,a)),compose(compose(domain__dfg(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a))),compose(compose(domain__dfg(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a))),compose(compose(domain__dfg(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[2,46828]),
    [iquote('0:Rew:2.0,46828.0')] ).

cnf(46822,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(g,a),compose(g,a))),domain__dfg(h),compose(compose(g,a),compose(g,a)),compose(compose(domain__dfg(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a))),compose(compose(domain__dfg(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a))),compose(compose(domain__dfg(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[2,46808]),
    [iquote('0:Rew:2.0,46808.0')] ).

cnf(38647,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,4320]),
    [iquote('0:SpR:501.0,4320.0')] ).

cnf(39204,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(compose(compose(h,a),compose(a,b))),domain__dfg(h),compose(compose(h,a),compose(a,b)),compose(compose(domain__dfg(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b))),compose(compose(domain__dfg(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b))),compose(compose(domain__dfg(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,39174]),
    [iquote('0:Rew:648.0,39174.0')] ).

cnf(39203,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(compose(compose(g,a),compose(a,b))),domain__dfg(h),compose(compose(g,a),compose(a,b)),compose(compose(domain__dfg(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b))),compose(compose(domain__dfg(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b))),compose(compose(domain__dfg(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,39176]),
    [iquote('0:Rew:519.0,39176.0')] ).

cnf(39133,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(a,b),compose(h,a))),domain__dfg(a),compose(compose(a,b),compose(h,a)),compose(compose(domain__dfg(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a))),compose(compose(domain__dfg(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a))),compose(compose(domain__dfg(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5954]),
    [iquote('0:SpR:648.0,5954.0')] ).

cnf(38707,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,compose(a,b)),g)),domain__dfg(h),compose(compose(h,compose(a,b)),g),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,38682]),
    [iquote('0:Rew:205.0,38682.0')] ).

cnf(39134,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(a,b),compose(g,a))),domain__dfg(a),compose(compose(a,b),compose(g,a)),compose(compose(domain__dfg(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a))),compose(compose(domain__dfg(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a))),compose(compose(domain__dfg(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5954]),
    [iquote('0:SpR:519.0,5954.0')] ).

cnf(33091,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)],[2,33073]),
    [iquote('0:Rew:2.0,33073.0')] ).

cnf(30425,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(h,compose(h,compose(a,b)))),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(domain__dfg(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,6258]),
    [iquote('0:SpR:205.0,6258.0')] ).

cnf(55997,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,33227]),
    [iquote('0:SpR:501.0,33227.0')] ).

cnf(55716,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,33372]),
    [iquote('0:SpR:501.0,33372.0')] ).

cnf(30298,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(a,compose(h,compose(a,b)))),domain__dfg(a),compose(a,compose(h,compose(a,b))),compose(compose(domain__dfg(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4649]),
    [iquote('0:SpR:205.0,4649.0')] ).

cnf(55692,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,33371]),
    [iquote('0:SpR:501.0,33371.0')] ).

cnf(55670,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,33217]),
    [iquote('0:SpR:205.0,33217.0')] ).

cnf(55650,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,33219]),
    [iquote('0:SpR:205.0,33219.0')] ).

cnf(55630,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,33220]),
    [iquote('0:SpR:205.0,33220.0')] ).

cnf(30257,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(g,compose(h,compose(a,b)))),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(domain__dfg(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4470]),
    [iquote('0:SpR:205.0,4470.0')] ).

cnf(55608,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,33228]),
    [iquote('0:SpR:501.0,33228.0')] ).

cnf(39054,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,6123]),
    [iquote('0:SpR:501.0,6123.0')] ).

cnf(38809,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,5935]),
    [iquote('0:SpR:501.0,5935.0')] ).

cnf(55399,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,25926]),
    [iquote('0:SpR:501.0,25926.0')] ).

cnf(37309,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,5830]),
    [iquote('0:SpR:501.0,5830.0')] ).

cnf(54819,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25774]),
    [iquote('0:SpR:205.0,25774.0')] ).

cnf(54572,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,25640]),
    [iquote('0:SpR:501.0,25640.0')] ).

cnf(35965,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5713]),
    [iquote('0:SpR:205.0,5713.0')] ).

cnf(35604,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,5503]),
    [iquote('0:SpR:501.0,5503.0')] ).

cnf(38753,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,compose(a,b)),compose(h,a))),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(compose(compose(h,compose(a,b)),compose(h,a))))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,38731]),
    [iquote('0:Rew:648.0,38731.0')] ).

cnf(38752,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,compose(a,b)),compose(g,a))),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(compose(compose(h,compose(a,b)),compose(g,a))))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,38733]),
    [iquote('0:Rew:519.0,38733.0')] ).

cnf(38751,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(h,compose(a,b)),compose(a,b))),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(compose(compose(h,compose(a,b)),compose(a,b))))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[133,38734]),
    [iquote('0:Rew:133.0,38734.0')] ).

cnf(38646,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(h,a),compose(h,compose(a,b)))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(compose(compose(h,a),compose(h,compose(a,b)))))),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,4320]),
    [iquote('0:SpR:284.0,4320.0')] ).

cnf(38648,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(g,a),compose(h,compose(a,b)))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(compose(compose(g,a),compose(h,compose(a,b)))))),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,4320]),
    [iquote('0:SpR:285.0,4320.0')] ).

cnf(38649,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(a,b),compose(h,compose(a,b)))),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(compose(compose(a,b),compose(h,compose(a,b)))))),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,4320]),
    [iquote('0:SpR:500.0,4320.0')] ).

cnf(34358,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(codomain(u),compose(h,a))),codomain(u),compose(codomain(u),compose(h,a)),compose(compose(domain__dfg(compose(codomain(u),compose(h,a))),codomain(u)),compose(h,a))),compose(compose(domain__dfg(compose(codomain(u),compose(h,a))),codomain(u)),compose(h,a))),compose(compose(domain__dfg(compose(codomain(u),compose(h,a))),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,6309]),
    [iquote('0:SpR:648.0,6309.0')] ).

cnf(34359,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(codomain(u),compose(g,a))),codomain(u),compose(codomain(u),compose(g,a)),compose(compose(domain__dfg(compose(codomain(u),compose(g,a))),codomain(u)),compose(g,a))),compose(compose(domain__dfg(compose(codomain(u),compose(g,a))),codomain(u)),compose(g,a))),compose(compose(domain__dfg(compose(codomain(u),compose(g,a))),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,6309]),
    [iquote('0:SpR:519.0,6309.0')] ).

cnf(33948,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(compose(domain__dfg(u),compose(h,a))),domain__dfg(u),compose(domain__dfg(u),compose(h,a)),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,a))),domain__dfg(u)),compose(h,a))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,a))),domain__dfg(u)),compose(h,a))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(h,a))),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5867]),
    [iquote('0:SpR:648.0,5867.0')] ).

cnf(33949,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(compose(domain__dfg(u),compose(g,a))),domain__dfg(u),compose(domain__dfg(u),compose(g,a)),compose(compose(domain__dfg(compose(domain__dfg(u),compose(g,a))),domain__dfg(u)),compose(g,a))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(g,a))),domain__dfg(u)),compose(g,a))),compose(compose(domain__dfg(compose(domain__dfg(u),compose(g,a))),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5867]),
    [iquote('0:SpR:519.0,5867.0')] ).

cnf(32928,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(rew,[status(thm),theory(equality)],[2,32888]),
    [iquote('0:Rew:2.0,32888.0')] ).

cnf(32757,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(rew,[status(thm),theory(equality)],[2,32716]),
    [iquote('0:Rew:2.0,32716.0')] ).

cnf(34197,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(h,a),domain__dfg(u))),domain__dfg(h),compose(compose(h,a),domain__dfg(u)),compose(compose(domain__dfg(compose(compose(h,a),domain__dfg(u))),compose(h,a)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(h,a),domain__dfg(u))),compose(h,a)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(h,a),domain__dfg(u))),compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,34155]),
    [iquote('0:Rew:648.0,34155.0')] ).

cnf(34196,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(g,a),domain__dfg(u))),domain__dfg(h),compose(compose(g,a),domain__dfg(u)),compose(compose(domain__dfg(compose(compose(g,a),domain__dfg(u))),compose(g,a)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(g,a),domain__dfg(u))),compose(g,a)),domain__dfg(u))),compose(compose(domain__dfg(compose(compose(g,a),domain__dfg(u))),compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,34157]),
    [iquote('0:Rew:519.0,34157.0')] ).

cnf(33777,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(compose(compose(h,a),codomain(u))),domain__dfg(h),compose(compose(h,a),codomain(u)),compose(compose(domain__dfg(compose(compose(h,a),codomain(u))),compose(h,a)),codomain(u))),compose(compose(domain__dfg(compose(compose(h,a),codomain(u))),compose(h,a)),codomain(u))),compose(compose(domain__dfg(compose(compose(h,a),codomain(u))),compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,33746]),
    [iquote('0:Rew:648.0,33746.0')] ).

cnf(33776,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(compose(compose(g,a),codomain(u))),domain__dfg(h),compose(compose(g,a),codomain(u)),compose(compose(domain__dfg(compose(compose(g,a),codomain(u))),compose(g,a)),codomain(u))),compose(compose(domain__dfg(compose(compose(g,a),codomain(u))),compose(g,a)),codomain(u))),compose(compose(domain__dfg(compose(compose(g,a),codomain(u))),compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,33748]),
    [iquote('0:Rew:519.0,33748.0')] ).

cnf(33775,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)],[133,33749]),
    [iquote('0:Rew:133.0,33749.0')] ).

cnf(47609,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,47586]),
    [iquote('0:Rew:205.0,47586.0')] ).

cnf(47566,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,47543]),
    [iquote('0:Rew:205.0,47543.0')] ).

cnf(47523,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,47497]),
    [iquote('0:Rew:205.0,47497.0')] ).

cnf(32121,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)],[2,32096]),
    [iquote('0:Rew:2.0,32096.0')] ).

cnf(47393,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,47367]),
    [iquote('0:Rew:205.0,47367.0')] ).

cnf(47344,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,47318]),
    [iquote('0:Rew:205.0,47318.0')] ).

cnf(47295,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,47269]),
    [iquote('0:Rew:205.0,47269.0')] ).

cnf(47095,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,35008]),
    [iquote('0:SpR:205.0,35008.0')] ).

cnf(33321,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),u),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),u),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,423]),
    [iquote('0:SpR:501.0,423.0')] ).

cnf(47075,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,35010]),
    [iquote('0:SpR:205.0,35010.0')] ).

cnf(47055,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,35011]),
    [iquote('0:SpR:205.0,35011.0')] ).

cnf(46981,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,35018]),
    [iquote('0:SpR:501.0,35018.0')] ).

cnf(46961,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,35019]),
    [iquote('0:SpR:501.0,35019.0')] ).

cnf(33218,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),u)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),u)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),u)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),u)),
    inference(spr,[status(thm),theory(equality)],[501,517]),
    [iquote('0:SpR:501.0,517.0')] ).

cnf(46941,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,34945]),
    [iquote('0:SpR:205.0,34945.0')] ).

cnf(46921,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,34947]),
    [iquote('0:SpR:205.0,34947.0')] ).

cnf(46853,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,34948]),
    [iquote('0:SpR:205.0,34948.0')] ).

cnf(46833,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,34955]),
    [iquote('0:SpR:501.0,34955.0')] ).

cnf(33226,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(u,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(u,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(u,compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,517]),
    [iquote('0:SpR:205.0,517.0')] ).

cnf(46813,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,34956]),
    [iquote('0:SpR:501.0,34956.0')] ).

cnf(46793,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),g)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g)),
    inference(spr,[status(thm),theory(equality)],[501,22591]),
    [iquote('0:SpR:501.0,22591.0')] ).

cnf(46775,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19972]),
    [iquote('0:SpR:205.0,19972.0')] ).

cnf(46705,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,19774]),
    [iquote('0:SpR:501.0,19774.0')] ).

cnf(39109,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,39087]),
    [iquote('0:Rew:648.0,39087.0')] ).

cnf(39108,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,39089]),
    [iquote('0:Rew:519.0,39089.0')] ).

cnf(39053,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,6123]),
    [iquote('0:SpR:284.0,6123.0')] ).

cnf(39055,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,6123]),
    [iquote('0:SpR:285.0,6123.0')] ).

cnf(38977,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5926]),
    [iquote('0:SpR:648.0,5926.0')] ).

cnf(39056,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b))),compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[500,6123]),
    [iquote('0:SpR:500.0,6123.0')] ).

cnf(38978,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5926]),
    [iquote('0:SpR:519.0,5926.0')] ).

cnf(38808,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,5935]),
    [iquote('0:SpR:284.0,5935.0')] ).

cnf(38810,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,5935]),
    [iquote('0:SpR:285.0,5935.0')] ).

cnf(38811,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b)))),compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,5935]),
    [iquote('0:SpR:500.0,5935.0')] ).

cnf(33078,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,5934]),
    [iquote('0:SpR:501.0,5934.0')] ).

cnf(33054,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5047]),
    [iquote('0:SpR:205.0,5047.0')] ).

cnf(33034,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4887]),
    [iquote('0:SpR:205.0,4887.0')] ).

cnf(32990,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,4628]),
    [iquote('0:SpR:501.0,4628.0')] ).

cnf(32943,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,4455]),
    [iquote('0:SpR:501.0,4455.0')] ).

cnf(26828,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(compose(h,compose(a,b)),domain__dfg(u))),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),codomain(compose(compose(h,compose(a,b)),domain__dfg(u))))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,4260]),
    [iquote('0:SpR:501.0,4260.0')] ).

cnf(26588,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(h,compose(a,b)),codomain(u))),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),codomain(compose(compose(h,compose(a,b)),codomain(u))))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,4259]),
    [iquote('0:SpR:501.0,4259.0')] ).

cnf(26399,plain,
    equal(ifeq(codomain(b),codomain(compose(domain__dfg(u),compose(h,compose(a,b)))),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),codomain(compose(domain__dfg(u),compose(h,compose(a,b)))))),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(domain__dfg(u),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,26349]),
    [iquote('0:Rew:205.0,26349.0')] ).

cnf(45333,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25916]),
    [iquote('0:SpR:205.0,25916.0')] ).

cnf(45268,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25918]),
    [iquote('0:SpR:205.0,25918.0')] ).

cnf(26149,plain,
    equal(ifeq(codomain(b),codomain(compose(codomain(u),compose(h,compose(a,b)))),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),codomain(compose(codomain(u),compose(h,compose(a,b)))))),compose(codomain(u),compose(h,compose(a,b)))),compose(codomain(u),compose(h,compose(a,b)))),compose(codomain(u),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,26124]),
    [iquote('0:Rew:205.0,26124.0')] ).

cnf(45200,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(u)),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25919]),
    [iquote('0:SpR:205.0,25919.0')] ).

cnf(45124,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,25927]),
    [iquote('0:SpR:501.0,25927.0')] ).

cnf(45045,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,25928]),
    [iquote('0:SpR:501.0,25928.0')] ).

cnf(37739,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5821]),
    [iquote('0:SpR:648.0,5821.0')] ).

cnf(37740,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5821]),
    [iquote('0:SpR:519.0,5821.0')] ).

cnf(37308,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,5830]),
    [iquote('0:SpR:284.0,5830.0')] ).

cnf(37310,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,5830]),
    [iquote('0:SpR:285.0,5830.0')] ).

cnf(37311,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,5830]),
    [iquote('0:SpR:500.0,5830.0')] ).

cnf(44991,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,44968]),
    [iquote('0:Rew:205.0,44968.0')] ).

cnf(32902,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,6090]),
    [iquote('0:SpR:501.0,6090.0')] ).

cnf(44912,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(g,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(g,a))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,44889]),
    [iquote('0:Rew:205.0,44889.0')] ).

cnf(44833,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,44802]),
    [iquote('0:Rew:205.0,44802.0')] ).

cnf(44746,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,44715]),
    [iquote('0:Rew:205.0,44715.0')] ).

cnf(44659,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,44631]),
    [iquote('0:Rew:205.0,44631.0')] ).

cnf(32728,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,5829]),
    [iquote('0:SpR:501.0,5829.0')] ).

cnf(43726,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,a)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,a)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25761]),
    [iquote('0:SpR:205.0,25761.0')] ).

cnf(43670,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(g,a)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(g,a)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25760]),
    [iquote('0:SpR:205.0,25760.0')] ).

cnf(43605,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,25627]),
    [iquote('0:SpR:501.0,25627.0')] ).

cnf(43553,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,25626]),
    [iquote('0:SpR:501.0,25626.0')] ).

cnf(36917,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[648,36887]),
    [iquote('0:Rew:648.0,36887.0')] ).

cnf(36916,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[519,36889]),
    [iquote('0:Rew:519.0,36889.0')] ).

cnf(36915,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[133,36890]),
    [iquote('0:Rew:133.0,36890.0')] ).

cnf(36423,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,36400]),
    [iquote('0:Rew:648.0,36400.0')] ).

cnf(36422,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,36402]),
    [iquote('0:Rew:519.0,36402.0')] ).

cnf(36421,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[133,36403]),
    [iquote('0:Rew:133.0,36403.0')] ).

cnf(35966,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5713]),
    [iquote('0:SpR:648.0,5713.0')] ).

cnf(35967,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5713]),
    [iquote('0:SpR:519.0,5713.0')] ).

cnf(35603,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,5503]),
    [iquote('0:SpR:284.0,5503.0')] ).

cnf(35605,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,5503]),
    [iquote('0:SpR:285.0,5503.0')] ).

cnf(35606,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(u))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[500,5503]),
    [iquote('0:SpR:500.0,5503.0')] ).

cnf(32844,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(a,b))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(a,b))),compose(compose(codomain(u),compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,32818]),
    [iquote('0:Rew:205.0,32818.0')] ).

cnf(32671,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,32631]),
    [iquote('0:Rew:205.0,32631.0')] ).

cnf(32386,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(u),compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5924]),
    [iquote('0:SpR:205.0,5924.0')] ).

cnf(32101,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,5933]),
    [iquote('0:SpR:501.0,5933.0')] ).

cnf(22315,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,511]),
    [iquote('0:SpR:501.0,511.0')] ).

cnf(22139,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,508]),
    [iquote('0:SpR:501.0,508.0')] ).

cnf(34191,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)],[3,34154]),
    [iquote('0:Rew:3.0,34154.0')] ).

cnf(29734,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)],[2,29686]),
    [iquote('0:Rew:2.0,29686.0')] ).

cnf(28438,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)],[2,28389]),
    [iquote('0:Rew:2.0,28389.0')] ).

cnf(28166,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)],[2,28114]),
    [iquote('0:Rew:2.0,28114.0')] ).

cnf(6246,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(u,compose(h,a))),domain__dfg(u),compose(u,compose(h,a)),compose(compose(domain__dfg(compose(u,compose(h,a))),u),compose(h,a))),compose(compose(domain__dfg(compose(u,compose(h,a))),u),compose(h,a))),compose(compose(domain__dfg(compose(u,compose(h,a))),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,479]),
    [iquote('0:SpR:648.0,479.0')] ).

cnf(6247,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(u,compose(g,a))),domain__dfg(u),compose(u,compose(g,a)),compose(compose(domain__dfg(compose(u,compose(g,a))),u),compose(g,a))),compose(compose(domain__dfg(compose(u,compose(g,a))),u),compose(g,a))),compose(compose(domain__dfg(compose(u,compose(g,a))),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,479]),
    [iquote('0:SpR:519.0,479.0')] ).

cnf(6339,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(h,a),u)),domain__dfg(h),compose(compose(h,a),u),compose(compose(domain__dfg(compose(compose(h,a),u)),compose(h,a)),u)),compose(compose(domain__dfg(compose(compose(h,a),u)),compose(h,a)),u)),compose(compose(domain__dfg(compose(compose(h,a),u)),compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,6253]),
    [iquote('0:Rew:648.0,6253.0')] ).

cnf(34502,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(h,a),g)),domain__dfg(h),compose(compose(h,a),g),compose(compose(domain__dfg(compose(compose(h,a),g)),compose(h,a)),g)),compose(compose(domain__dfg(compose(compose(h,a),g)),compose(h,a)),g)),compose(compose(domain__dfg(compose(compose(h,a),g)),compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[2,34488]),
    [iquote('0:Rew:2.0,34488.0')] ).

cnf(6338,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(g,a),u)),domain__dfg(h),compose(compose(g,a),u),compose(compose(domain__dfg(compose(compose(g,a),u)),compose(g,a)),u)),compose(compose(domain__dfg(compose(compose(g,a),u)),compose(g,a)),u)),compose(compose(domain__dfg(compose(compose(g,a),u)),compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,6255]),
    [iquote('0:Rew:519.0,6255.0')] ).

cnf(34482,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(compose(g,a),g)),domain__dfg(h),compose(compose(g,a),g),compose(compose(domain__dfg(compose(compose(g,a),g)),compose(g,a)),g)),compose(compose(domain__dfg(compose(compose(g,a),g)),compose(g,a)),g)),compose(compose(domain__dfg(compose(compose(g,a),g)),compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[2,34468]),
    [iquote('0:Rew:2.0,34468.0')] ).

cnf(34228,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[2,34210]),
    [iquote('0:Rew:2.0,34210.0')] ).

cnf(30426,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(h,compose(h,a))),domain__dfg(h),compose(h,compose(h,a)),compose(compose(domain__dfg(compose(h,compose(h,a))),h),compose(h,a))),compose(compose(domain__dfg(compose(h,compose(h,a))),h),compose(h,a))),compose(compose(domain__dfg(compose(h,compose(h,a))),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,6258]),
    [iquote('0:SpR:648.0,6258.0')] ).

cnf(30299,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(a,compose(h,a))),domain__dfg(a),compose(a,compose(h,a)),compose(compose(domain__dfg(compose(a,compose(h,a))),a),compose(h,a))),compose(compose(domain__dfg(compose(a,compose(h,a))),a),compose(h,a))),compose(compose(domain__dfg(compose(a,compose(h,a))),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4649]),
    [iquote('0:SpR:648.0,4649.0')] ).

cnf(30427,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(h,compose(g,a))),domain__dfg(h),compose(h,compose(g,a)),compose(compose(domain__dfg(compose(h,compose(g,a))),h),compose(g,a))),compose(compose(domain__dfg(compose(h,compose(g,a))),h),compose(g,a))),compose(compose(domain__dfg(compose(h,compose(g,a))),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,6258]),
    [iquote('0:SpR:519.0,6258.0')] ).

cnf(30300,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(a,compose(g,a))),domain__dfg(a),compose(a,compose(g,a)),compose(compose(domain__dfg(compose(a,compose(g,a))),a),compose(g,a))),compose(compose(domain__dfg(compose(a,compose(g,a))),a),compose(g,a))),compose(compose(domain__dfg(compose(a,compose(g,a))),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4649]),
    [iquote('0:SpR:519.0,4649.0')] ).

cnf(30258,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(g,compose(h,a))),domain__dfg(h),compose(g,compose(h,a)),compose(compose(domain__dfg(compose(g,compose(h,a))),g),compose(h,a))),compose(compose(domain__dfg(compose(g,compose(h,a))),g),compose(h,a))),compose(compose(domain__dfg(compose(g,compose(h,a))),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4470]),
    [iquote('0:SpR:648.0,4470.0')] ).

cnf(30259,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(g,compose(g,a))),domain__dfg(h),compose(g,compose(g,a)),compose(compose(domain__dfg(compose(g,compose(g,a))),g),compose(g,a))),compose(compose(domain__dfg(compose(g,compose(g,a))),g),compose(g,a))),compose(compose(domain__dfg(compose(g,compose(g,a))),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4470]),
    [iquote('0:SpR:519.0,4470.0')] ).

cnf(38611,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(codomain(v),codomain(u)),compose(h,compose(a,b)))),compose(compose(codomain(v),codomain(u)),compose(h,compose(a,b)))),compose(compose(codomain(v),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,25753]),
    [iquote('0:SpR:205.0,25753.0')] ).

cnf(26979,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)],[2,26965]),
    [iquote('0:Rew:2.0,26965.0')] ).

cnf(38464,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[501,25606]),
    [iquote('0:SpR:501.0,25606.0')] ).

cnf(30121,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(codomain(v),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(codomain(v),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(codomain(v),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5819]),
    [iquote('0:SpR:205.0,5819.0')] ).

cnf(29698,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[501,5828]),
    [iquote('0:SpR:501.0,5828.0')] ).

cnf(29275,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5687]),
    [iquote('0:SpR:205.0,5687.0')] ).

cnf(28983,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),codomain(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),codomain(u)),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5686]),
    [iquote('0:SpR:205.0,5686.0')] ).

cnf(28401,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),codomain(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),codomain(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),codomain(v))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[501,5470]),
    [iquote('0:SpR:501.0,5470.0')] ).

cnf(28128,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),codomain(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),codomain(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),codomain(v))),compose(compose(compose(h,compose(a,b)),codomain(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[501,5469]),
    [iquote('0:SpR:501.0,5469.0')] ).

cnf(38389,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(codomain(v),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(codomain(v),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(codomain(v),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,38361]),
    [iquote('0:Rew:205.0,38361.0')] ).

cnf(28715,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,28674]),
    [iquote('0:Rew:205.0,28674.0')] ).

cnf(27893,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),codomain(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),codomain(u))),compose(compose(domain__dfg(v),compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,27854]),
    [iquote('0:Rew:205.0,27854.0')] ).

cnf(27601,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(codomain(v),compose(h,compose(a,b))),codomain(u))),compose(compose(codomain(v),compose(h,compose(a,b))),codomain(u))),compose(compose(codomain(v),compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,27575]),
    [iquote('0:Rew:205.0,27575.0')] ).

cnf(33519,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,compose(h,a))),compose(compose(compose(h,compose(a,b)),u),compose(h,a))),compose(compose(compose(h,compose(a,b)),u),compose(h,a))),compose(compose(compose(h,compose(a,b)),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,516]),
    [iquote('0:SpR:648.0,516.0')] ).

cnf(33227,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(u,compose(h,compose(a,b))),compose(h,a))),compose(compose(u,compose(h,compose(a,b))),compose(h,a))),compose(compose(u,compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,517]),
    [iquote('0:SpR:648.0,517.0')] ).

cnf(22462,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,8200]),
    [iquote('0:SpR:501.0,8200.0')] ).

cnf(33520,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,compose(g,a))),compose(compose(compose(h,compose(a,b)),u),compose(g,a))),compose(compose(compose(h,compose(a,b)),u),compose(g,a))),compose(compose(compose(h,compose(a,b)),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,516]),
    [iquote('0:SpR:519.0,516.0')] ).

cnf(22389,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(compose(a,b),b),u,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,536]),
    [iquote('0:SpR:501.0,536.0')] ).

cnf(22370,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,538]),
    [iquote('0:SpR:501.0,538.0')] ).

cnf(22351,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,452]),
    [iquote('0:SpR:501.0,452.0')] ).

cnf(22332,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,335]),
    [iquote('0:SpR:501.0,335.0')] ).

cnf(33320,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,compose(h,compose(a,b)))),compose(compose(compose(h,a),u),compose(h,compose(a,b)))),compose(compose(compose(h,a),u),compose(h,compose(a,b)))),compose(compose(compose(h,a),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,423]),
    [iquote('0:SpR:284.0,423.0')] ).

cnf(22298,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,318]),
    [iquote('0:SpR:501.0,318.0')] ).

cnf(46980,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),compose(h,a))),compose(compose(compose(h,a),compose(h,a)),compose(h,a))),compose(compose(compose(h,a),compose(h,a)),compose(h,a))),compose(compose(compose(h,a),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,35018]),
    [iquote('0:SpR:284.0,35018.0')] ).

cnf(46982,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),compose(h,a))),compose(compose(compose(g,a),compose(h,a)),compose(h,a))),compose(compose(compose(g,a),compose(h,a)),compose(h,a))),compose(compose(compose(g,a),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,35018]),
    [iquote('0:SpR:285.0,35018.0')] ).

cnf(46983,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),compose(h,a))),compose(compose(compose(a,b),compose(h,a)),compose(h,a))),compose(compose(compose(a,b),compose(h,a)),compose(h,a))),compose(compose(compose(a,b),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,35018]),
    [iquote('0:SpR:500.0,35018.0')] ).

cnf(33322,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,compose(h,compose(a,b)))),compose(compose(compose(g,a),u),compose(h,compose(a,b)))),compose(compose(compose(g,a),u),compose(h,compose(a,b)))),compose(compose(compose(g,a),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,423]),
    [iquote('0:SpR:285.0,423.0')] ).

cnf(46960,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),compose(g,a))),compose(compose(compose(h,a),compose(h,a)),compose(g,a))),compose(compose(compose(h,a),compose(h,a)),compose(g,a))),compose(compose(compose(h,a),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,35019]),
    [iquote('0:SpR:284.0,35019.0')] ).

cnf(46962,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),compose(g,a))),compose(compose(compose(g,a),compose(h,a)),compose(g,a))),compose(compose(compose(g,a),compose(h,a)),compose(g,a))),compose(compose(compose(g,a),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,35019]),
    [iquote('0:SpR:285.0,35019.0')] ).

cnf(46963,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),compose(g,a))),compose(compose(compose(a,b),compose(h,a)),compose(g,a))),compose(compose(compose(a,b),compose(h,a)),compose(g,a))),compose(compose(compose(a,b),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,35019]),
    [iquote('0:SpR:500.0,35019.0')] ).

cnf(46832,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),compose(h,a))),compose(compose(compose(h,a),compose(g,a)),compose(h,a))),compose(compose(compose(h,a),compose(g,a)),compose(h,a))),compose(compose(compose(h,a),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,34955]),
    [iquote('0:SpR:284.0,34955.0')] ).

cnf(33323,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,compose(h,compose(a,b)))),compose(compose(compose(a,b),u),compose(h,compose(a,b)))),compose(compose(compose(a,b),u),compose(h,compose(a,b)))),compose(compose(compose(a,b),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,423]),
    [iquote('0:SpR:500.0,423.0')] ).

cnf(46834,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),compose(h,a))),compose(compose(compose(g,a),compose(g,a)),compose(h,a))),compose(compose(compose(g,a),compose(g,a)),compose(h,a))),compose(compose(compose(g,a),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,34955]),
    [iquote('0:SpR:285.0,34955.0')] ).

cnf(46835,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),compose(h,a))),compose(compose(compose(a,b),compose(g,a)),compose(h,a))),compose(compose(compose(a,b),compose(g,a)),compose(h,a))),compose(compose(compose(a,b),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,34955]),
    [iquote('0:SpR:500.0,34955.0')] ).

cnf(46812,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),compose(g,a))),compose(compose(compose(h,a),compose(g,a)),compose(g,a))),compose(compose(compose(h,a),compose(g,a)),compose(g,a))),compose(compose(compose(h,a),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,34956]),
    [iquote('0:SpR:284.0,34956.0')] ).

cnf(46814,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),compose(g,a))),compose(compose(compose(g,a),compose(g,a)),compose(g,a))),compose(compose(compose(g,a),compose(g,a)),compose(g,a))),compose(compose(compose(g,a),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,34956]),
    [iquote('0:SpR:285.0,34956.0')] ).

cnf(33556,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),u)),compose(compose(compose(h,compose(a,b)),compose(h,a)),u)),compose(compose(compose(h,compose(a,b)),compose(h,a)),u)),compose(compose(compose(h,compose(a,b)),compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,33525]),
    [iquote('0:Rew:648.0,33525.0')] ).

cnf(46815,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),compose(g,a))),compose(compose(compose(a,b),compose(g,a)),compose(g,a))),compose(compose(compose(a,b),compose(g,a)),compose(g,a))),compose(compose(compose(a,b),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,34956]),
    [iquote('0:SpR:500.0,34956.0')] ).

cnf(46682,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),compose(a,b))),compose(compose(compose(h,a),compose(h,a)),compose(a,b))),compose(compose(compose(h,a),compose(h,a)),compose(a,b))),compose(compose(compose(h,a),compose(h,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,6108]),
    [iquote('0:SpR:284.0,6108.0')] ).

cnf(46684,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),compose(a,b))),compose(compose(compose(g,a),compose(h,a)),compose(a,b))),compose(compose(compose(g,a),compose(h,a)),compose(a,b))),compose(compose(compose(g,a),compose(h,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,6108]),
    [iquote('0:SpR:285.0,6108.0')] ).

cnf(46685,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),compose(a,b))),compose(compose(compose(a,b),compose(h,a)),compose(a,b))),compose(compose(compose(a,b),compose(h,a)),compose(a,b))),compose(compose(compose(a,b),compose(h,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[500,6108]),
    [iquote('0:SpR:500.0,6108.0')] ).

cnf(33555,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),u)),compose(compose(compose(h,compose(a,b)),compose(g,a)),u)),compose(compose(compose(h,compose(a,b)),compose(g,a)),u)),compose(compose(compose(h,compose(a,b)),compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,33527]),
    [iquote('0:Rew:519.0,33527.0')] ).

cnf(46658,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),compose(a,b))),compose(compose(compose(h,a),compose(g,a)),compose(a,b))),compose(compose(compose(h,a),compose(g,a)),compose(a,b))),compose(compose(compose(h,a),compose(g,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,6107]),
    [iquote('0:SpR:284.0,6107.0')] ).

cnf(46660,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),compose(a,b))),compose(compose(compose(g,a),compose(g,a)),compose(a,b))),compose(compose(compose(g,a),compose(g,a)),compose(a,b))),compose(compose(compose(g,a),compose(g,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,6107]),
    [iquote('0:SpR:285.0,6107.0')] ).

cnf(46661,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),compose(a,b))),compose(compose(compose(a,b),compose(g,a)),compose(a,b))),compose(compose(compose(a,b),compose(g,a)),compose(a,b))),compose(compose(compose(a,b),compose(g,a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[500,6107]),
    [iquote('0:SpR:500.0,6107.0')] ).

cnf(46638,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),compose(h,a))),compose(compose(compose(h,a),compose(a,b)),compose(h,a))),compose(compose(compose(h,a),compose(a,b)),compose(h,a))),compose(compose(compose(h,a),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5925]),
    [iquote('0:SpR:648.0,5925.0')] ).

cnf(33372,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(u,compose(h,a)),compose(h,compose(a,b)))),compose(compose(u,compose(h,a)),compose(h,compose(a,b)))),compose(compose(u,compose(h,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[648,33329]),
    [iquote('0:Rew:648.0,33329.0')] ).

cnf(46618,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),compose(h,a))),compose(compose(compose(g,a),compose(a,b)),compose(h,a))),compose(compose(compose(g,a),compose(a,b)),compose(h,a))),compose(compose(compose(g,a),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5927]),
    [iquote('0:SpR:648.0,5927.0')] ).

cnf(46598,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),compose(h,a))),compose(compose(compose(a,b),compose(a,b)),compose(h,a))),compose(compose(compose(a,b),compose(a,b)),compose(h,a))),compose(compose(compose(a,b),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5928]),
    [iquote('0:SpR:648.0,5928.0')] ).

cnf(46570,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),compose(g,a))),compose(compose(compose(h,a),compose(a,b)),compose(g,a))),compose(compose(compose(h,a),compose(a,b)),compose(g,a))),compose(compose(compose(h,a),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,5937]),
    [iquote('0:SpR:284.0,5937.0')] ).

cnf(46572,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),compose(g,a))),compose(compose(compose(g,a),compose(a,b)),compose(g,a))),compose(compose(compose(g,a),compose(a,b)),compose(g,a))),compose(compose(compose(g,a),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,5937]),
    [iquote('0:SpR:285.0,5937.0')] ).

cnf(33371,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(u,compose(g,a)),compose(h,compose(a,b)))),compose(compose(u,compose(g,a)),compose(h,compose(a,b)))),compose(compose(u,compose(g,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[519,33331]),
    [iquote('0:Rew:519.0,33331.0')] ).

cnf(46573,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(compose(a,b),compose(g,a))),compose(compose(compose(a,b),compose(a,b)),compose(g,a))),compose(compose(compose(a,b),compose(a,b)),compose(g,a))),compose(compose(compose(a,b),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,5937]),
    [iquote('0:SpR:500.0,5937.0')] ).

cnf(34928,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),g)),compose(compose(compose(h,a),compose(h,compose(a,b))),g)),compose(compose(compose(h,a),compose(h,compose(a,b))),g)),compose(compose(compose(h,a),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,34902]),
    [iquote('0:Rew:205.0,34902.0')] ).

cnf(34879,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),g)),compose(compose(compose(g,a),compose(h,compose(a,b))),g)),compose(compose(compose(g,a),compose(h,compose(a,b))),g)),compose(compose(compose(g,a),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,34853]),
    [iquote('0:Rew:205.0,34853.0')] ).

cnf(34830,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),g)),compose(compose(compose(a,b),compose(h,compose(a,b))),g)),compose(compose(compose(a,b),compose(h,compose(a,b))),g)),compose(compose(compose(a,b),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,34807]),
    [iquote('0:Rew:205.0,34807.0')] ).

cnf(33217,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,compose(a,b)),u)),compose(compose(compose(h,a),compose(h,compose(a,b))),u)),compose(compose(compose(h,a),compose(h,compose(a,b))),u)),compose(compose(compose(h,a),compose(h,compose(a,b))),u)),
    inference(spr,[status(thm),theory(equality)],[284,517]),
    [iquote('0:SpR:284.0,517.0')] ).

cnf(34784,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(h,compose(a,b))),compose(h,a))),compose(compose(h,compose(h,compose(a,b))),compose(h,a))),compose(compose(h,compose(h,compose(a,b))),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,34759]),
    [iquote('0:Rew:205.0,34759.0')] ).

cnf(34738,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(h,compose(a,b))),compose(g,a))),compose(compose(h,compose(h,compose(a,b))),compose(g,a))),compose(compose(h,compose(h,compose(a,b))),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,34713]),
    [iquote('0:Rew:205.0,34713.0')] ).

cnf(34493,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(h,a),g)),compose(compose(compose(h,compose(a,b)),compose(h,a)),g)),compose(compose(compose(h,compose(a,b)),compose(h,a)),g)),compose(compose(compose(h,compose(a,b)),compose(h,a)),g)),
    inference(spr,[status(thm),theory(equality)],[501,22578]),
    [iquote('0:SpR:501.0,22578.0')] ).

cnf(34473,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(compose(g,a),g)),compose(compose(compose(h,compose(a,b)),compose(g,a)),g)),compose(compose(compose(h,compose(a,b)),compose(g,a)),g)),compose(compose(compose(h,compose(a,b)),compose(g,a)),g)),
    inference(spr,[status(thm),theory(equality)],[501,22577]),
    [iquote('0:SpR:501.0,22577.0')] ).

cnf(33219,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,compose(a,b)),u)),compose(compose(compose(g,a),compose(h,compose(a,b))),u)),compose(compose(compose(g,a),compose(h,compose(a,b))),u)),compose(compose(compose(g,a),compose(h,compose(a,b))),u)),
    inference(spr,[status(thm),theory(equality)],[285,517]),
    [iquote('0:SpR:285.0,517.0')] ).

cnf(34450,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,compose(h,a)),compose(h,compose(a,b)))),compose(compose(h,compose(h,a)),compose(h,compose(a,b)))),compose(compose(h,compose(h,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19959]),
    [iquote('0:SpR:205.0,19959.0')] ).

cnf(34430,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(h,compose(g,a)),compose(h,compose(a,b)))),compose(compose(h,compose(g,a)),compose(h,compose(a,b)))),compose(compose(h,compose(g,a)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19958]),
    [iquote('0:SpR:205.0,19958.0')] ).

cnf(34410,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(h,compose(a,b)))),compose(compose(compose(h,a),h),compose(h,compose(a,b)))),compose(compose(compose(h,a),h),compose(h,compose(a,b)))),compose(compose(compose(h,a),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19764]),
    [iquote('0:SpR:205.0,19764.0')] ).

cnf(34389,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(h,compose(a,b)))),compose(compose(compose(g,a),h),compose(h,compose(a,b)))),compose(compose(compose(g,a),h),compose(h,compose(a,b)))),compose(compose(compose(g,a),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19766]),
    [iquote('0:SpR:205.0,19766.0')] ).

cnf(33220,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,compose(a,b)),u)),compose(compose(compose(a,b),compose(h,compose(a,b))),u)),compose(compose(compose(a,b),compose(h,compose(a,b))),u)),compose(compose(compose(a,b),compose(h,compose(a,b))),u)),
    inference(spr,[status(thm),theory(equality)],[500,517]),
    [iquote('0:SpR:500.0,517.0')] ).

cnf(34272,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(h,compose(a,b)))),compose(compose(compose(a,b),h),compose(h,compose(a,b)))),compose(compose(compose(a,b),h),compose(h,compose(a,b)))),compose(compose(compose(a,b),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19767]),
    [iquote('0:SpR:205.0,19767.0')] ).

cnf(34253,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(h,a))),compose(compose(compose(h,compose(a,b)),h),compose(h,a))),compose(compose(compose(h,compose(a,b)),h),compose(h,a))),compose(compose(compose(h,compose(a,b)),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,19775]),
    [iquote('0:SpR:501.0,19775.0')] ).

cnf(34237,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(g,a))),compose(compose(compose(h,compose(a,b)),h),compose(g,a))),compose(compose(compose(h,compose(a,b)),h),compose(g,a))),compose(compose(compose(h,compose(a,b)),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,19776]),
    [iquote('0:SpR:501.0,19776.0')] ).

cnf(34215,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),g)),compose(compose(compose(h,compose(a,b)),compose(a,b)),g)),compose(compose(compose(h,compose(a,b)),compose(a,b)),g)),compose(compose(compose(h,compose(a,b)),compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[501,5939]),
    [iquote('0:SpR:501.0,5939.0')] ).

cnf(33228,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(u,compose(h,compose(a,b))),compose(g,a))),compose(compose(u,compose(h,compose(a,b))),compose(g,a))),compose(compose(u,compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,517]),
    [iquote('0:SpR:519.0,517.0')] ).

cnf(33187,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(a,compose(h,a)),compose(h,compose(a,b)))),compose(compose(a,compose(h,a)),compose(h,compose(a,b)))),compose(compose(a,compose(h,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[648,33168]),
    [iquote('0:Rew:648.0,33168.0')] ).

cnf(33186,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(a,compose(g,a)),compose(h,compose(a,b)))),compose(compose(a,compose(g,a)),compose(h,compose(a,b)))),compose(compose(a,compose(g,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[519,33170]),
    [iquote('0:Rew:519.0,33170.0')] ).

cnf(33185,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,compose(a,b)),compose(h,compose(a,b)))),compose(compose(a,compose(a,b)),compose(h,compose(a,b)))),compose(compose(a,compose(a,b)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[133,33171]),
    [iquote('0:Rew:133.0,33171.0')] ).

cnf(33137,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(g,compose(h,a)),compose(h,compose(a,b)))),compose(compose(g,compose(h,a)),compose(h,compose(a,b)))),compose(compose(g,compose(h,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[648,33116]),
    [iquote('0:Rew:648.0,33116.0')] ).

cnf(33136,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,compose(g,a)),compose(h,compose(a,b)))),compose(compose(g,compose(g,a)),compose(h,compose(a,b)))),compose(compose(g,compose(g,a)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[519,33118]),
    [iquote('0:Rew:519.0,33118.0')] ).

cnf(33077,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),compose(a,b))),compose(compose(compose(h,a),compose(a,b)),compose(a,b))),compose(compose(compose(h,a),compose(a,b)),compose(a,b))),compose(compose(compose(h,a),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,5934]),
    [iquote('0:SpR:284.0,5934.0')] ).

cnf(33079,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),compose(a,b))),compose(compose(compose(g,a),compose(a,b)),compose(a,b))),compose(compose(compose(g,a),compose(a,b)),compose(a,b))),compose(compose(compose(g,a),compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,5934]),
    [iquote('0:SpR:285.0,5934.0')] ).

cnf(33080,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)],[500,5934]),
    [iquote('0:SpR:500.0,5934.0')] ).

cnf(33055,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(a,compose(h,compose(a,b))),compose(h,a))),compose(compose(a,compose(h,compose(a,b))),compose(h,a))),compose(compose(a,compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5047]),
    [iquote('0:SpR:648.0,5047.0')] ).

cnf(33056,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(a,compose(h,compose(a,b))),compose(g,a))),compose(compose(a,compose(h,compose(a,b))),compose(g,a))),compose(compose(a,compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5047]),
    [iquote('0:SpR:519.0,5047.0')] ).

cnf(33035,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(g,compose(h,compose(a,b))),compose(h,a))),compose(compose(g,compose(h,compose(a,b))),compose(h,a))),compose(compose(g,compose(h,compose(a,b))),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4887]),
    [iquote('0:SpR:648.0,4887.0')] ).

cnf(33036,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(g,compose(h,compose(a,b))),compose(g,a))),compose(compose(g,compose(h,compose(a,b))),compose(g,a))),compose(compose(g,compose(h,compose(a,b))),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4887]),
    [iquote('0:SpR:519.0,4887.0')] ).

cnf(33015,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,compose(h,a))),compose(compose(compose(h,compose(a,b)),a),compose(h,a))),compose(compose(compose(h,compose(a,b)),a),compose(h,a))),compose(compose(compose(h,compose(a,b)),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4619]),
    [iquote('0:SpR:648.0,4619.0')] ).

cnf(33016,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,compose(g,a))),compose(compose(compose(h,compose(a,b)),a),compose(g,a))),compose(compose(compose(h,compose(a,b)),a),compose(g,a))),compose(compose(compose(h,compose(a,b)),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4619]),
    [iquote('0:SpR:519.0,4619.0')] ).

cnf(32989,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,compose(h,compose(a,b)))),compose(compose(compose(h,a),a),compose(h,compose(a,b)))),compose(compose(compose(h,a),a),compose(h,compose(a,b)))),compose(compose(compose(h,a),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,4628]),
    [iquote('0:SpR:284.0,4628.0')] ).

cnf(32991,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,compose(h,compose(a,b)))),compose(compose(compose(g,a),a),compose(h,compose(a,b)))),compose(compose(compose(g,a),a),compose(h,compose(a,b)))),compose(compose(compose(g,a),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,4628]),
    [iquote('0:SpR:285.0,4628.0')] ).

cnf(32992,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,compose(h,compose(a,b)))),compose(compose(compose(a,b),a),compose(h,compose(a,b)))),compose(compose(compose(a,b),a),compose(h,compose(a,b)))),compose(compose(compose(a,b),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,4628]),
    [iquote('0:SpR:500.0,4628.0')] ).

cnf(32969,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,compose(h,a))),compose(compose(compose(h,compose(a,b)),g),compose(h,a))),compose(compose(compose(h,compose(a,b)),g),compose(h,a))),compose(compose(compose(h,compose(a,b)),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4446]),
    [iquote('0:SpR:648.0,4446.0')] ).

cnf(32970,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,compose(g,a))),compose(compose(compose(h,compose(a,b)),g),compose(g,a))),compose(compose(compose(h,compose(a,b)),g),compose(g,a))),compose(compose(compose(h,compose(a,b)),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4446]),
    [iquote('0:SpR:519.0,4446.0')] ).

cnf(32942,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,compose(h,compose(a,b)))),compose(compose(compose(h,a),g),compose(h,compose(a,b)))),compose(compose(compose(h,a),g),compose(h,compose(a,b)))),compose(compose(compose(h,a),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[284,4455]),
    [iquote('0:SpR:284.0,4455.0')] ).

cnf(32944,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,compose(h,compose(a,b)))),compose(compose(compose(g,a),g),compose(h,compose(a,b)))),compose(compose(compose(g,a),g),compose(h,compose(a,b)))),compose(compose(compose(g,a),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[285,4455]),
    [iquote('0:SpR:285.0,4455.0')] ).

cnf(32945,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,compose(h,compose(a,b)))),compose(compose(compose(a,b),g),compose(h,compose(a,b)))),compose(compose(compose(a,b),g),compose(h,compose(a,b)))),compose(compose(compose(a,b),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[500,4455]),
    [iquote('0:SpR:500.0,4455.0')] ).

cnf(27344,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(h,compose(a,b))),compose(a,b))),compose(compose(h,compose(h,compose(a,b))),compose(a,b))),compose(compose(h,compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,27316]),
    [iquote('0:Rew:205.0,27316.0')] ).

cnf(39315,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,a),compose(h,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),codomain(compose(compose(h,a),compose(h,a))))),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,4291]),
    [iquote('0:SpR:284.0,4291.0')] ).

cnf(27186,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(a,compose(h,compose(a,b))),compose(a,b))),compose(compose(a,compose(h,compose(a,b))),compose(a,b))),compose(compose(a,compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,27160]),
    [iquote('0:Rew:205.0,27160.0')] ).

cnf(39317,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(g,a),compose(h,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),codomain(compose(compose(g,a),compose(h,a))))),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,4291]),
    [iquote('0:SpR:285.0,4291.0')] ).

cnf(39318,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(a,b),compose(h,a))),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),codomain(compose(compose(a,b),compose(h,a))))),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,4291]),
    [iquote('0:SpR:500.0,4291.0')] ).

cnf(39289,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,a),compose(g,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),codomain(compose(compose(h,a),compose(g,a))))),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,4290]),
    [iquote('0:SpR:284.0,4290.0')] ).

cnf(39291,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(g,a),compose(g,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),codomain(compose(compose(g,a),compose(g,a))))),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,4290]),
    [iquote('0:SpR:285.0,4290.0')] ).

cnf(27051,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(g,compose(h,compose(a,b))),compose(a,b))),compose(compose(g,compose(h,compose(a,b))),compose(a,b))),compose(compose(g,compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,27021]),
    [iquote('0:Rew:205.0,27021.0')] ).

cnf(39292,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(a,b),compose(g,a))),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),codomain(compose(compose(a,b),compose(g,a))))),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,4290]),
    [iquote('0:SpR:500.0,4290.0')] ).

cnf(39253,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(h,a),compose(a,b))),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),codomain(compose(compose(h,a),compose(a,b))))),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,4289]),
    [iquote('0:SpR:284.0,4289.0')] ).

cnf(39255,plain,
    equal(ifeq(codomain(b),codomain(compose(compose(g,a),compose(a,b))),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),codomain(compose(compose(g,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)],[285,4289]),
    [iquote('0:SpR:285.0,4289.0')] ).

cnf(39256,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)],[500,4289]),
    [iquote('0:SpR:500.0,4289.0')] ).

cnf(26970,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,compose(a,b))),compose(compose(compose(h,compose(a,b)),a),compose(a,b))),compose(compose(compose(h,compose(a,b)),a),compose(a,b))),compose(compose(compose(h,compose(a,b)),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,4627]),
    [iquote('0:SpR:501.0,4627.0')] ).

cnf(18807,plain,
    equal(ifeq(codomain(b),codomain(compose(a,compose(h,compose(a,b)))),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),codomain(compose(a,compose(h,compose(a,b)))))),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,18779]),
    [iquote('0:Rew:205.0,18779.0')] ).

cnf(18750,plain,
    equal(ifeq(codomain(b),codomain(compose(h,compose(h,compose(a,b)))),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),codomain(compose(h,compose(h,compose(a,b)))))),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,18719]),
    [iquote('0:Rew:205.0,18719.0')] ).

cnf(18688,plain,
    equal(ifeq(codomain(b),codomain(compose(g,compose(h,compose(a,b)))),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),codomain(compose(g,compose(h,compose(a,b)))))),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,18655]),
    [iquote('0:Rew:205.0,18655.0')] ).

cnf(18606,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,compose(a,b)),a)),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,codomain(compose(compose(h,compose(a,b)),a)))),compose(compose(h,compose(a,b)),a)),compose(compose(h,compose(a,b)),a)),compose(compose(h,compose(a,b)),a)),
    inference(spr,[status(thm),theory(equality)],[501,4207]),
    [iquote('0:SpR:501.0,4207.0')] ).

cnf(18582,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(h,compose(a,b)),h)),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,codomain(compose(compose(h,compose(a,b)),h)))),compose(compose(h,compose(a,b)),h)),compose(compose(h,compose(a,b)),h)),compose(compose(h,compose(a,b)),h)),
    inference(spr,[status(thm),theory(equality)],[501,4215]),
    [iquote('0:SpR:501.0,4215.0')] ).

cnf(18497,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(h,compose(a,b)),g)),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,codomain(compose(compose(h,compose(a,b)),g)))),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[501,4247]),
    [iquote('0:SpR:501.0,4247.0')] ).

cnf(17107,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),v,ifeq(compose(codomain(u),a),v,codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,316]),
    [iquote('0:SpR:501.0,316.0')] ).

cnf(16972,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),v,ifeq(compose(codomain(u),b),v,codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,256]),
    [iquote('0:SpR:501.0,256.0')] ).

cnf(25917,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),v)),compose(compose(compose(h,compose(a,b)),codomain(u)),v)),compose(compose(compose(h,compose(a,b)),codomain(u)),v)),compose(compose(compose(h,compose(a,b)),codomain(u)),v)),
    inference(spr,[status(thm),theory(equality)],[501,467]),
    [iquote('0:SpR:501.0,467.0')] ).

cnf(25926,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),compose(h,compose(a,b)))),compose(compose(v,codomain(u)),compose(h,compose(a,b)))),compose(compose(v,codomain(u)),compose(h,compose(a,b)))),compose(compose(v,codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,467]),
    [iquote('0:SpR:205.0,467.0')] ).

cnf(25723,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,compose(h,compose(a,b)))),compose(compose(codomain(v),u),compose(h,compose(a,b)))),compose(compose(codomain(v),u),compose(h,compose(a,b)))),compose(compose(codomain(v),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,414]),
    [iquote('0:SpR:205.0,414.0')] ).

cnf(45123,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),compose(h,a))),compose(compose(compose(h,a),codomain(u)),compose(h,a))),compose(compose(compose(h,a),codomain(u)),compose(h,a))),compose(compose(compose(h,a),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,25927]),
    [iquote('0:SpR:284.0,25927.0')] ).

cnf(45125,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),compose(h,a))),compose(compose(compose(g,a),codomain(u)),compose(h,a))),compose(compose(compose(g,a),codomain(u)),compose(h,a))),compose(compose(compose(g,a),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,25927]),
    [iquote('0:SpR:285.0,25927.0')] ).

cnf(45126,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),compose(h,a))),compose(compose(compose(a,b),codomain(u)),compose(h,a))),compose(compose(compose(a,b),codomain(u)),compose(h,a))),compose(compose(compose(a,b),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,25927]),
    [iquote('0:SpR:500.0,25927.0')] ).

cnf(25559,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,domain__dfg(v))),compose(compose(compose(h,compose(a,b)),u),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),u),domain__dfg(v))),compose(compose(compose(h,compose(a,b)),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[501,421]),
    [iquote('0:SpR:501.0,421.0')] ).

cnf(45044,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),compose(g,a))),compose(compose(compose(h,a),codomain(u)),compose(g,a))),compose(compose(compose(h,a),codomain(u)),compose(g,a))),compose(compose(compose(h,a),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,25928]),
    [iquote('0:SpR:284.0,25928.0')] ).

cnf(45046,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),compose(g,a))),compose(compose(compose(g,a),codomain(u)),compose(g,a))),compose(compose(compose(g,a),codomain(u)),compose(g,a))),compose(compose(compose(g,a),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,25928]),
    [iquote('0:SpR:285.0,25928.0')] ).

cnf(45047,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(a,b),compose(codomain(u),compose(g,a))),compose(compose(compose(a,b),codomain(u)),compose(g,a))),compose(compose(compose(a,b),codomain(u)),compose(g,a))),compose(compose(compose(a,b),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,25928]),
    [iquote('0:SpR:500.0,25928.0')] ).

cnf(44342,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),compose(h,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,5831]),
    [iquote('0:SpR:284.0,5831.0')] ).

cnf(25774,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,compose(a,b)),u)),compose(compose(codomain(v),compose(h,compose(a,b))),u)),compose(compose(codomain(v),compose(h,compose(a,b))),u)),compose(compose(codomain(v),compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,25731]),
    [iquote('0:Rew:205.0,25731.0')] ).

cnf(44344,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),compose(h,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,5831]),
    [iquote('0:SpR:285.0,5831.0')] ).

cnf(44345,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),compose(h,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,5831]),
    [iquote('0:SpR:500.0,5831.0')] ).

cnf(44261,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),compose(g,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(g,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(g,a))),compose(compose(compose(h,a),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,5832]),
    [iquote('0:SpR:284.0,5832.0')] ).

cnf(44263,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),compose(g,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(g,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(g,a))),compose(compose(compose(g,a),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,5832]),
    [iquote('0:SpR:285.0,5832.0')] ).

cnf(25640,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(v,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(v,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(v,compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,25575]),
    [iquote('0:Rew:205.0,25575.0')] ).

cnf(44264,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(domain__dfg(u),compose(g,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(g,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(g,a))),compose(compose(compose(a,b),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,5832]),
    [iquote('0:SpR:500.0,5832.0')] ).

cnf(32901,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),compose(a,b))),compose(compose(compose(h,a),codomain(u)),compose(a,b))),compose(compose(compose(h,a),codomain(u)),compose(a,b))),compose(compose(compose(h,a),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,6090]),
    [iquote('0:SpR:284.0,6090.0')] ).

cnf(32903,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),compose(a,b))),compose(compose(compose(g,a),codomain(u)),compose(a,b))),compose(compose(compose(g,a),codomain(u)),compose(a,b))),compose(compose(compose(g,a),codomain(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,6090]),
    [iquote('0:SpR:285.0,6090.0')] ).

cnf(32904,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)],[500,6090]),
    [iquote('0:SpR:500.0,6090.0')] ).

cnf(32727,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),compose(a,b))),compose(compose(compose(h,a),domain__dfg(u)),compose(a,b))),compose(compose(compose(h,a),domain__dfg(u)),compose(a,b))),compose(compose(compose(h,a),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,5829]),
    [iquote('0:SpR:284.0,5829.0')] ).

cnf(29931,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(u),g)),compose(compose(compose(h,compose(a,b)),codomain(u)),g)),compose(compose(compose(h,compose(a,b)),codomain(u)),g)),compose(compose(compose(h,compose(a,b)),codomain(u)),g)),
    inference(spr,[status(thm),theory(equality)],[501,22560]),
    [iquote('0:SpR:501.0,22560.0')] ).

cnf(29781,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),compose(h,compose(a,b)))),compose(compose(h,codomain(u)),compose(h,compose(a,b)))),compose(compose(h,codomain(u)),compose(h,compose(a,b)))),compose(compose(h,codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19949]),
    [iquote('0:SpR:205.0,19949.0')] ).

cnf(29508,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),g)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),g)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),g)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),g)),
    inference(spr,[status(thm),theory(equality)],[501,5834]),
    [iquote('0:SpR:501.0,5834.0')] ).

cnf(43727,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),compose(h,a))),compose(compose(codomain(u),compose(h,a)),compose(h,a))),compose(compose(codomain(u),compose(h,a)),compose(h,a))),compose(compose(codomain(u),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,25761]),
    [iquote('0:SpR:648.0,25761.0')] ).

cnf(32729,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),compose(a,b))),compose(compose(compose(g,a),domain__dfg(u)),compose(a,b))),compose(compose(compose(g,a),domain__dfg(u)),compose(a,b))),compose(compose(compose(g,a),domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,5829]),
    [iquote('0:SpR:285.0,5829.0')] ).

cnf(43728,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),compose(g,a))),compose(compose(codomain(u),compose(h,a)),compose(g,a))),compose(compose(codomain(u),compose(h,a)),compose(g,a))),compose(compose(codomain(u),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,25761]),
    [iquote('0:SpR:519.0,25761.0')] ).

cnf(43671,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),compose(h,a))),compose(compose(codomain(u),compose(g,a)),compose(h,a))),compose(compose(codomain(u),compose(g,a)),compose(h,a))),compose(compose(codomain(u),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,25760]),
    [iquote('0:SpR:648.0,25760.0')] ).

cnf(43672,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),compose(g,a))),compose(compose(codomain(u),compose(g,a)),compose(g,a))),compose(compose(codomain(u),compose(g,a)),compose(g,a))),compose(compose(codomain(u),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,25760]),
    [iquote('0:SpR:519.0,25760.0')] ).

cnf(43604,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),domain__dfg(u))),compose(compose(compose(h,a),compose(h,a)),domain__dfg(u))),compose(compose(compose(h,a),compose(h,a)),domain__dfg(u))),compose(compose(compose(h,a),compose(h,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,25627]),
    [iquote('0:SpR:284.0,25627.0')] ).

cnf(32730,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)],[500,5829]),
    [iquote('0:SpR:500.0,5829.0')] ).

cnf(43606,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),domain__dfg(u))),compose(compose(compose(g,a),compose(h,a)),domain__dfg(u))),compose(compose(compose(g,a),compose(h,a)),domain__dfg(u))),compose(compose(compose(g,a),compose(h,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,25627]),
    [iquote('0:SpR:285.0,25627.0')] ).

cnf(43607,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),domain__dfg(u))),compose(compose(compose(a,b),compose(h,a)),domain__dfg(u))),compose(compose(compose(a,b),compose(h,a)),domain__dfg(u))),compose(compose(compose(a,b),compose(h,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[500,25627]),
    [iquote('0:SpR:500.0,25627.0')] ).

cnf(43552,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),domain__dfg(u))),compose(compose(compose(h,a),compose(g,a)),domain__dfg(u))),compose(compose(compose(h,a),compose(g,a)),domain__dfg(u))),compose(compose(compose(h,a),compose(g,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,25626]),
    [iquote('0:SpR:284.0,25626.0')] ).

cnf(43554,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),domain__dfg(u))),compose(compose(compose(g,a),compose(g,a)),domain__dfg(u))),compose(compose(compose(g,a),compose(g,a)),domain__dfg(u))),compose(compose(compose(g,a),compose(g,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,25626]),
    [iquote('0:SpR:285.0,25626.0')] ).

cnf(24963,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(h,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(h,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(h,domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5825]),
    [iquote('0:SpR:205.0,5825.0')] ).

cnf(43555,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),domain__dfg(u))),compose(compose(compose(a,b),compose(g,a)),domain__dfg(u))),compose(compose(compose(a,b),compose(g,a)),domain__dfg(u))),compose(compose(compose(a,b),compose(g,a)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[500,25626]),
    [iquote('0:SpR:500.0,25626.0')] ).

cnf(43506,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),compose(h,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5696]),
    [iquote('0:SpR:648.0,5696.0')] ).

cnf(43507,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),compose(g,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(g,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(g,a))),compose(compose(domain__dfg(u),compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5696]),
    [iquote('0:SpR:519.0,5696.0')] ).

cnf(43447,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),compose(h,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5695]),
    [iquote('0:SpR:648.0,5695.0')] ).

cnf(24788,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(a,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(a,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(a,domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5027]),
    [iquote('0:SpR:205.0,5027.0')] ).

cnf(43448,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),compose(g,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(g,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(g,a))),compose(compose(domain__dfg(u),compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5695]),
    [iquote('0:SpR:519.0,5695.0')] ).

cnf(43390,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),compose(h,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5694]),
    [iquote('0:SpR:648.0,5694.0')] ).

cnf(43391,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(compose(a,b),compose(g,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(g,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(g,a))),compose(compose(domain__dfg(u),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5694]),
    [iquote('0:SpR:519.0,5694.0')] ).

cnf(43326,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),codomain(u))),compose(compose(compose(h,a),compose(h,a)),codomain(u))),compose(compose(compose(h,a),compose(h,a)),codomain(u))),compose(compose(compose(h,a),compose(h,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,5489]),
    [iquote('0:SpR:284.0,5489.0')] ).

cnf(24719,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),compose(h,compose(a,b)))),compose(compose(a,codomain(u)),compose(h,compose(a,b)))),compose(compose(a,codomain(u)),compose(h,compose(a,b)))),compose(compose(a,codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5026]),
    [iquote('0:SpR:205.0,5026.0')] ).

cnf(43328,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),codomain(u))),compose(compose(compose(g,a),compose(h,a)),codomain(u))),compose(compose(compose(g,a),compose(h,a)),codomain(u))),compose(compose(compose(g,a),compose(h,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,5489]),
    [iquote('0:SpR:285.0,5489.0')] ).

cnf(43329,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),codomain(u))),compose(compose(compose(a,b),compose(h,a)),codomain(u))),compose(compose(compose(a,b),compose(h,a)),codomain(u))),compose(compose(compose(a,b),compose(h,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[500,5489]),
    [iquote('0:SpR:500.0,5489.0')] ).

cnf(43216,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),codomain(u))),compose(compose(compose(h,a),compose(g,a)),codomain(u))),compose(compose(compose(h,a),compose(g,a)),codomain(u))),compose(compose(compose(h,a),compose(g,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,5488]),
    [iquote('0:SpR:284.0,5488.0')] ).

cnf(43218,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),codomain(u))),compose(compose(compose(g,a),compose(g,a)),codomain(u))),compose(compose(compose(g,a),compose(g,a)),codomain(u))),compose(compose(compose(g,a),compose(g,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,5488]),
    [iquote('0:SpR:285.0,5488.0')] ).

cnf(24460,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(g,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(g,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(g,domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4865]),
    [iquote('0:SpR:205.0,4865.0')] ).

cnf(43219,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),codomain(u))),compose(compose(compose(a,b),compose(g,a)),codomain(u))),compose(compose(compose(a,b),compose(g,a)),codomain(u))),compose(compose(compose(a,b),compose(g,a)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[500,5488]),
    [iquote('0:SpR:500.0,5488.0')] ).

cnf(42942,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),codomain(u))),compose(compose(compose(h,a),compose(a,b)),codomain(u))),compose(compose(compose(h,a),compose(a,b)),codomain(u))),compose(compose(compose(h,a),compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,5487]),
    [iquote('0:SpR:284.0,5487.0')] ).

cnf(42944,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),codomain(u))),compose(compose(compose(g,a),compose(a,b)),codomain(u))),compose(compose(compose(g,a),compose(a,b)),codomain(u))),compose(compose(compose(g,a),compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,5487]),
    [iquote('0:SpR:285.0,5487.0')] ).

cnf(42945,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)],[500,5487]),
    [iquote('0:SpR:500.0,5487.0')] ).

cnf(24391,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(g,compose(codomain(u),compose(h,compose(a,b)))),compose(compose(g,codomain(u)),compose(h,compose(a,b)))),compose(compose(g,codomain(u)),compose(h,compose(a,b)))),compose(compose(g,codomain(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4864]),
    [iquote('0:SpR:205.0,4864.0')] ).

cnf(32839,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),compose(a,b))),compose(compose(codomain(u),compose(h,a)),compose(a,b))),compose(compose(codomain(u),compose(h,a)),compose(a,b))),compose(compose(codomain(u),compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,32817]),
    [iquote('0:Rew:648.0,32817.0')] ).

cnf(32838,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),compose(a,b))),compose(compose(codomain(u),compose(g,a)),compose(a,b))),compose(compose(codomain(u),compose(g,a)),compose(a,b))),compose(compose(codomain(u),compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,32819]),
    [iquote('0:Rew:519.0,32819.0')] ).

cnf(32664,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),compose(a,b))),compose(compose(domain__dfg(u),compose(h,a)),compose(a,b))),compose(compose(domain__dfg(u),compose(h,a)),compose(a,b))),compose(compose(domain__dfg(u),compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,32630]),
    [iquote('0:Rew:648.0,32630.0')] ).

cnf(32663,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),compose(a,b))),compose(compose(domain__dfg(u),compose(g,a)),compose(a,b))),compose(compose(domain__dfg(u),compose(g,a)),compose(a,b))),compose(compose(domain__dfg(u),compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,32632]),
    [iquote('0:Rew:519.0,32632.0')] ).

cnf(32662,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(rew,[status(thm),theory(equality)],[133,32633]),
    [iquote('0:Rew:133.0,32633.0')] ).

cnf(32385,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)],[133,5924]),
    [iquote('0:SpR:133.0,5924.0')] ).

cnf(32387,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),compose(h,a))),compose(compose(codomain(u),compose(a,b)),compose(h,a))),compose(compose(codomain(u),compose(a,b)),compose(h,a))),compose(compose(codomain(u),compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5924]),
    [iquote('0:SpR:648.0,5924.0')] ).

cnf(32388,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(compose(a,b),compose(g,a))),compose(compose(codomain(u),compose(a,b)),compose(g,a))),compose(compose(codomain(u),compose(a,b)),compose(g,a))),compose(compose(codomain(u),compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5924]),
    [iquote('0:SpR:519.0,5924.0')] ).

cnf(32100,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),domain__dfg(u))),compose(compose(compose(h,a),compose(a,b)),domain__dfg(u))),compose(compose(compose(h,a),compose(a,b)),domain__dfg(u))),compose(compose(compose(h,a),compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,5933]),
    [iquote('0:SpR:284.0,5933.0')] ).

cnf(32102,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),domain__dfg(u))),compose(compose(compose(g,a),compose(a,b)),domain__dfg(u))),compose(compose(compose(g,a),compose(a,b)),domain__dfg(u))),compose(compose(compose(g,a),compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,5933]),
    [iquote('0:SpR:285.0,5933.0')] ).

cnf(29877,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,compose(a,b)),g)),compose(compose(codomain(u),compose(h,compose(a,b))),g)),compose(compose(codomain(u),compose(h,compose(a,b))),g)),compose(compose(codomain(u),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,29854]),
    [iquote('0:Rew:205.0,29854.0')] ).

cnf(29624,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(h,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(h,compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,29592]),
    [iquote('0:Rew:205.0,29592.0')] ).

cnf(29455,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,compose(a,b)),g)),compose(compose(domain__dfg(u),compose(h,compose(a,b))),g)),compose(compose(domain__dfg(u),compose(h,compose(a,b))),g)),compose(compose(domain__dfg(u),compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,29419]),
    [iquote('0:Rew:205.0,29419.0')] ).

cnf(29349,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(h,compose(a,b)))),compose(compose(codomain(u),h),compose(h,compose(a,b)))),compose(compose(codomain(u),h),compose(h,compose(a,b)))),compose(compose(codomain(u),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19763]),
    [iquote('0:SpR:205.0,19763.0')] ).

cnf(32103,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)],[500,5933]),
    [iquote('0:SpR:500.0,5933.0')] ).

cnf(29181,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,domain__dfg(u))),compose(compose(compose(h,compose(a,b)),h),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),h),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,19772]),
    [iquote('0:SpR:501.0,19772.0')] ).

cnf(24910,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(h,compose(a,b))),codomain(u))),compose(compose(h,compose(h,compose(a,b))),codomain(u))),compose(compose(h,compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,24880]),
    [iquote('0:Rew:205.0,24880.0')] ).

cnf(24666,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),codomain(u))),compose(compose(a,compose(h,compose(a,b))),codomain(u))),compose(compose(a,compose(h,compose(a,b))),codomain(u))),compose(compose(a,compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,24638]),
    [iquote('0:Rew:205.0,24638.0')] ).

cnf(24569,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(a,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(a,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(a,compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,24541]),
    [iquote('0:Rew:205.0,24541.0')] ).

cnf(24338,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),codomain(u))),compose(compose(g,compose(h,compose(a,b))),codomain(u))),compose(compose(g,compose(h,compose(a,b))),codomain(u))),compose(compose(g,compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,24308]),
    [iquote('0:Rew:205.0,24308.0')] ).

cnf(24239,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(g,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(g,compose(h,compose(a,b))),domain__dfg(u))),compose(compose(g,compose(h,compose(a,b))),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,24205]),
    [iquote('0:Rew:205.0,24205.0')] ).

cnf(24130,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(h,compose(a,b)))),compose(compose(domain__dfg(u),h),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),h),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5656]),
    [iquote('0:SpR:205.0,5656.0')] ).

cnf(24063,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,codomain(u))),compose(compose(compose(h,compose(a,b)),h),codomain(u))),compose(compose(compose(h,compose(a,b)),h),codomain(u))),compose(compose(compose(h,compose(a,b)),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,5440]),
    [iquote('0:SpR:501.0,5440.0')] ).

cnf(23935,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,compose(h,compose(a,b)))),compose(compose(domain__dfg(u),a),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),a),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4616]),
    [iquote('0:SpR:205.0,4616.0')] ).

cnf(23708,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,compose(h,compose(a,b)))),compose(compose(codomain(u),a),compose(h,compose(a,b)))),compose(compose(codomain(u),a),compose(h,compose(a,b)))),compose(compose(codomain(u),a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4617]),
    [iquote('0:SpR:205.0,4617.0')] ).

cnf(23482,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,codomain(u))),compose(compose(compose(h,compose(a,b)),a),codomain(u))),compose(compose(compose(h,compose(a,b)),a),codomain(u))),compose(compose(compose(h,compose(a,b)),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,4625]),
    [iquote('0:SpR:501.0,4625.0')] ).

cnf(23249,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,domain__dfg(u))),compose(compose(compose(h,compose(a,b)),a),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),a),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,4626]),
    [iquote('0:SpR:501.0,4626.0')] ).

cnf(23020,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,compose(h,compose(a,b)))),compose(compose(domain__dfg(u),g),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),g),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4443]),
    [iquote('0:SpR:205.0,4443.0')] ).

cnf(22798,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,compose(h,compose(a,b)))),compose(compose(codomain(u),g),compose(h,compose(a,b)))),compose(compose(codomain(u),g),compose(h,compose(a,b)))),compose(compose(codomain(u),g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4444]),
    [iquote('0:SpR:205.0,4444.0')] ).

cnf(22637,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,codomain(u))),compose(compose(compose(h,compose(a,b)),g),codomain(u))),compose(compose(compose(h,compose(a,b)),g),codomain(u))),compose(compose(compose(h,compose(a,b)),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,4452]),
    [iquote('0:SpR:501.0,4452.0')] ).

cnf(22433,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,domain__dfg(u))),compose(compose(compose(h,compose(a,b)),g),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),g),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,4453]),
    [iquote('0:SpR:501.0,4453.0')] ).

cnf(29957,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[2,29917]),
    [iquote('0:Rew:2.0,29917.0')] ).

cnf(29537,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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)],[2,29496]),
    [iquote('0:Rew:2.0,29496.0')] ).

cnf(29197,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(compose(h,domain__dfg(u))),domain__dfg(h),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)],[2,29176]),
    [iquote('0:Rew:2.0,29176.0')] ).

cnf(24080,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(compose(h,codomain(u))),domain__dfg(h),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)],[2,24058]),
    [iquote('0:Rew:2.0,24058.0')] ).

cnf(23501,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)],[2,23477]),
    [iquote('0:Rew:2.0,23477.0')] ).

cnf(23271,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)],[2,23244]),
    [iquote('0:Rew:2.0,23244.0')] ).

cnf(22656,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(compose(g,codomain(u))),domain__dfg(h),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)],[2,22632]),
    [iquote('0:Rew:2.0,22632.0')] ).

cnf(22451,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(compose(g,domain__dfg(u))),domain__dfg(h),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)],[2,22428]),
    [iquote('0:Rew:2.0,22428.0')] ).

cnf(26827,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(compose(h,a),domain__dfg(u))),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),codomain(compose(compose(h,a),domain__dfg(u))))),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,4260]),
    [iquote('0:SpR:284.0,4260.0')] ).

cnf(26829,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(compose(g,a),domain__dfg(u))),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),codomain(compose(compose(g,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)],[285,4260]),
    [iquote('0:SpR:285.0,4260.0')] ).

cnf(26830,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)],[500,4260]),
    [iquote('0:SpR:500.0,4260.0')] ).

cnf(26587,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(h,a),codomain(u))),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),codomain(compose(compose(h,a),codomain(u))))),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,4259]),
    [iquote('0:SpR:284.0,4259.0')] ).

cnf(26589,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(g,a),codomain(u))),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),codomain(compose(compose(g,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)],[285,4259]),
    [iquote('0:SpR:285.0,4259.0')] ).

cnf(26590,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)],[500,4259]),
    [iquote('0:SpR:500.0,4259.0')] ).

cnf(26391,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(domain__dfg(u),compose(h,a))),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),codomain(compose(domain__dfg(u),compose(h,a))))),compose(domain__dfg(u),compose(h,a))),compose(domain__dfg(u),compose(h,a))),compose(domain__dfg(u),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,26348]),
    [iquote('0:Rew:648.0,26348.0')] ).

cnf(26390,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(domain__dfg(u),compose(g,a))),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),codomain(compose(domain__dfg(u),compose(g,a))))),compose(domain__dfg(u),compose(g,a))),compose(domain__dfg(u),compose(g,a))),compose(domain__dfg(u),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,26350]),
    [iquote('0:Rew:519.0,26350.0')] ).

cnf(26389,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)],[133,26351]),
    [iquote('0:Rew:133.0,26351.0')] ).

cnf(26145,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(codomain(u),compose(h,a))),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),codomain(compose(codomain(u),compose(h,a))))),compose(codomain(u),compose(h,a))),compose(codomain(u),compose(h,a))),compose(codomain(u),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,26123]),
    [iquote('0:Rew:648.0,26123.0')] ).

cnf(26144,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(codomain(u),compose(g,a))),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),codomain(compose(codomain(u),compose(g,a))))),compose(codomain(u),compose(g,a))),compose(codomain(u),compose(g,a))),compose(codomain(u),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,26125]),
    [iquote('0:Rew:519.0,26125.0')] ).

cnf(38612,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),compose(h,a))),compose(compose(codomain(v),codomain(u)),compose(h,a))),compose(compose(codomain(v),codomain(u)),compose(h,a))),compose(compose(codomain(v),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,25753]),
    [iquote('0:SpR:648.0,25753.0')] ).

cnf(38613,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(codomain(v),compose(codomain(u),compose(g,a))),compose(compose(codomain(v),codomain(u)),compose(g,a))),compose(compose(codomain(v),codomain(u)),compose(g,a))),compose(compose(codomain(v),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,25753]),
    [iquote('0:SpR:519.0,25753.0')] ).

cnf(38463,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),domain__dfg(v))),compose(compose(compose(h,a),codomain(u)),domain__dfg(v))),compose(compose(compose(h,a),codomain(u)),domain__dfg(v))),compose(compose(compose(h,a),codomain(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[284,25606]),
    [iquote('0:SpR:284.0,25606.0')] ).

cnf(38465,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),domain__dfg(v))),compose(compose(compose(g,a),codomain(u)),domain__dfg(v))),compose(compose(compose(g,a),codomain(u)),domain__dfg(v))),compose(compose(compose(g,a),codomain(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[285,25606]),
    [iquote('0:SpR:285.0,25606.0')] ).

cnf(26143,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)],[133,26126]),
    [iquote('0:Rew:133.0,26126.0')] ).

cnf(38466,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)],[500,25606]),
    [iquote('0:SpR:500.0,25606.0')] ).

cnf(32833,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(rew,[status(thm),theory(equality)],[3,32816]),
    [iquote('0:Rew:3.0,32816.0')] ).

cnf(30120,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)],[133,5819]),
    [iquote('0:SpR:133.0,5819.0')] ).

cnf(30122,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),compose(h,a))),compose(compose(codomain(v),domain__dfg(u)),compose(h,a))),compose(compose(codomain(v),domain__dfg(u)),compose(h,a))),compose(compose(codomain(v),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5819]),
    [iquote('0:SpR:648.0,5819.0')] ).

cnf(30123,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(domain__dfg(u),compose(g,a))),compose(compose(codomain(v),domain__dfg(u)),compose(g,a))),compose(compose(codomain(v),domain__dfg(u)),compose(g,a))),compose(compose(codomain(v),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5819]),
    [iquote('0:SpR:519.0,5819.0')] ).

cnf(29697,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),domain__dfg(v))),compose(compose(compose(h,a),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(h,a),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(h,a),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[284,5828]),
    [iquote('0:SpR:284.0,5828.0')] ).

cnf(29699,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),domain__dfg(v))),compose(compose(compose(g,a),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(g,a),domain__dfg(u)),domain__dfg(v))),compose(compose(compose(g,a),domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[285,5828]),
    [iquote('0:SpR:285.0,5828.0')] ).

cnf(29700,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)],[500,5828]),
    [iquote('0:SpR:500.0,5828.0')] ).

cnf(29276,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),compose(h,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5687]),
    [iquote('0:SpR:648.0,5687.0')] ).

cnf(29274,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)],[133,5687]),
    [iquote('0:SpR:133.0,5687.0')] ).

cnf(29277,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(domain__dfg(u),compose(g,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(g,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(g,a))),compose(compose(domain__dfg(v),domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5687]),
    [iquote('0:SpR:519.0,5687.0')] ).

cnf(28982,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)],[133,5686]),
    [iquote('0:SpR:133.0,5686.0')] ).

cnf(28984,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),compose(h,a))),compose(compose(domain__dfg(v),codomain(u)),compose(h,a))),compose(compose(domain__dfg(v),codomain(u)),compose(h,a))),compose(compose(domain__dfg(v),codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5686]),
    [iquote('0:SpR:648.0,5686.0')] ).

cnf(28985,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),codomain(u),compose(domain__dfg(v),compose(codomain(u),compose(g,a))),compose(compose(domain__dfg(v),codomain(u)),compose(g,a))),compose(compose(domain__dfg(v),codomain(u)),compose(g,a))),compose(compose(domain__dfg(v),codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5686]),
    [iquote('0:SpR:519.0,5686.0')] ).

cnf(28400,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),codomain(v))),compose(compose(compose(h,a),domain__dfg(u)),codomain(v))),compose(compose(compose(h,a),domain__dfg(u)),codomain(v))),compose(compose(compose(h,a),domain__dfg(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[284,5470]),
    [iquote('0:SpR:284.0,5470.0')] ).

cnf(28402,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),codomain(v))),compose(compose(compose(g,a),domain__dfg(u)),codomain(v))),compose(compose(compose(g,a),domain__dfg(u)),codomain(v))),compose(compose(compose(g,a),domain__dfg(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[285,5470]),
    [iquote('0:SpR:285.0,5470.0')] ).

cnf(28403,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)],[500,5470]),
    [iquote('0:SpR:500.0,5470.0')] ).

cnf(28127,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),codomain(v))),compose(compose(compose(h,a),codomain(u)),codomain(v))),compose(compose(compose(h,a),codomain(u)),codomain(v))),compose(compose(compose(h,a),codomain(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[284,5469]),
    [iquote('0:SpR:284.0,5469.0')] ).

cnf(28129,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),codomain(v))),compose(compose(compose(g,a),codomain(u)),codomain(v))),compose(compose(compose(g,a),codomain(u)),codomain(v))),compose(compose(compose(g,a),codomain(u)),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[285,5469]),
    [iquote('0:SpR:285.0,5469.0')] ).

cnf(28130,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)],[500,5469]),
    [iquote('0:SpR:500.0,5469.0')] ).

cnf(38385,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,a),domain__dfg(u))),compose(compose(codomain(v),compose(h,a)),domain__dfg(u))),compose(compose(codomain(v),compose(h,a)),domain__dfg(u))),compose(compose(codomain(v),compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,38360]),
    [iquote('0:Rew:648.0,38360.0')] ).

cnf(38384,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(g,a),domain__dfg(u))),compose(compose(codomain(v),compose(g,a)),domain__dfg(u))),compose(compose(codomain(v),compose(g,a)),domain__dfg(u))),compose(compose(codomain(v),compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,38362]),
    [iquote('0:Rew:519.0,38362.0')] ).

cnf(32099,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(spr,[status(thm),theory(equality)],[25,5933]),
    [iquote('0:SpR:25.0,5933.0')] ).

cnf(28709,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,a),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,a)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,a)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,28673]),
    [iquote('0:Rew:648.0,28673.0')] ).

cnf(28708,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(g,a),domain__dfg(u))),compose(compose(domain__dfg(v),compose(g,a)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(g,a)),domain__dfg(u))),compose(compose(domain__dfg(v),compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,28675]),
    [iquote('0:Rew:519.0,28675.0')] ).

cnf(28707,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)],[133,28676]),
    [iquote('0:Rew:133.0,28676.0')] ).

cnf(27887,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,a),codomain(u))),compose(compose(domain__dfg(v),compose(h,a)),codomain(u))),compose(compose(domain__dfg(v),compose(h,a)),codomain(u))),compose(compose(domain__dfg(v),compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,27853]),
    [iquote('0:Rew:648.0,27853.0')] ).

cnf(27886,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(g,a),codomain(u))),compose(compose(domain__dfg(v),compose(g,a)),codomain(u))),compose(compose(domain__dfg(v),compose(g,a)),codomain(u))),compose(compose(domain__dfg(v),compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,27855]),
    [iquote('0:Rew:519.0,27855.0')] ).

cnf(27885,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)],[133,27856]),
    [iquote('0:Rew:133.0,27856.0')] ).

cnf(27597,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,a),codomain(u))),compose(compose(codomain(v),compose(h,a)),codomain(u))),compose(compose(codomain(v),compose(h,a)),codomain(u))),compose(compose(codomain(v),compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,27574]),
    [iquote('0:Rew:648.0,27574.0')] ).

cnf(27596,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(g,a),codomain(u))),compose(compose(codomain(v),compose(g,a)),codomain(u))),compose(compose(codomain(v),compose(g,a)),codomain(u))),compose(compose(codomain(v),compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,27576]),
    [iquote('0:Rew:519.0,27576.0')] ).

cnf(36287,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,compose(h,a))),compose(compose(compose(a,b),u),compose(h,a))),compose(compose(compose(a,b),u),compose(h,a))),compose(compose(compose(a,b),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,545]),
    [iquote('0:SpR:648.0,545.0')] ).

cnf(36288,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(a,b),compose(u,compose(g,a))),compose(compose(compose(a,b),u),compose(g,a))),compose(compose(compose(a,b),u),compose(g,a))),compose(compose(compose(a,b),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,545]),
    [iquote('0:SpR:519.0,545.0')] ).

cnf(36190,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,compose(h,a))),compose(compose(compose(h,a),u),compose(h,a))),compose(compose(compose(h,a),u),compose(h,a))),compose(compose(compose(h,a),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,416]),
    [iquote('0:SpR:648.0,416.0')] ).

cnf(27595,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)],[133,27577]),
    [iquote('0:Rew:133.0,27577.0')] ).

cnf(36191,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,compose(g,a))),compose(compose(compose(h,a),u),compose(g,a))),compose(compose(compose(h,a),u),compose(g,a))),compose(compose(compose(h,a),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,416]),
    [iquote('0:SpR:519.0,416.0')] ).

cnf(36090,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,compose(h,a))),compose(compose(compose(g,a),u),compose(h,a))),compose(compose(compose(g,a),u),compose(h,a))),compose(compose(compose(g,a),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,417]),
    [iquote('0:SpR:648.0,417.0')] ).

cnf(36091,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,compose(g,a))),compose(compose(compose(g,a),u),compose(g,a))),compose(compose(compose(g,a),u),compose(g,a))),compose(compose(compose(g,a),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,417]),
    [iquote('0:SpR:519.0,417.0')] ).

cnf(22526,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,g)),compose(compose(compose(h,compose(a,b)),u),g)),compose(compose(compose(h,compose(a,b)),u),g)),compose(compose(compose(h,compose(a,b)),u),g)),
    inference(spr,[status(thm),theory(equality)],[501,424]),
    [iquote('0:SpR:501.0,424.0')] ).

cnf(19914,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,compose(h,compose(a,b)))),compose(compose(h,u),compose(h,compose(a,b)))),compose(compose(h,u),compose(h,compose(a,b)))),compose(compose(h,u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,418]),
    [iquote('0:SpR:205.0,418.0')] ).

cnf(6051,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,compose(a,b))),compose(compose(compose(h,a),u),compose(a,b))),compose(compose(compose(h,a),u),compose(a,b))),compose(compose(compose(h,a),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,422]),
    [iquote('0:SpR:284.0,422.0')] ).

cnf(35008,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),u)),compose(compose(compose(h,a),compose(h,a)),u)),compose(compose(compose(h,a),compose(h,a)),u)),compose(compose(compose(h,a),compose(h,a)),u)),
    inference(spr,[status(thm),theory(equality)],[284,661]),
    [iquote('0:SpR:284.0,661.0')] ).

cnf(35010,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),u)),compose(compose(compose(g,a),compose(h,a)),u)),compose(compose(compose(g,a),compose(h,a)),u)),compose(compose(compose(g,a),compose(h,a)),u)),
    inference(spr,[status(thm),theory(equality)],[285,661]),
    [iquote('0:SpR:285.0,661.0')] ).

cnf(35011,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),u)),compose(compose(compose(a,b),compose(h,a)),u)),compose(compose(compose(a,b),compose(h,a)),u)),compose(compose(compose(a,b),compose(h,a)),u)),
    inference(spr,[status(thm),theory(equality)],[500,661]),
    [iquote('0:SpR:500.0,661.0')] ).

cnf(6053,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,compose(a,b))),compose(compose(compose(g,a),u),compose(a,b))),compose(compose(compose(g,a),u),compose(a,b))),compose(compose(compose(g,a),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,422]),
    [iquote('0:SpR:285.0,422.0')] ).

cnf(35018,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),compose(h,a))),compose(compose(u,compose(h,a)),compose(h,a))),compose(compose(u,compose(h,a)),compose(h,a))),compose(compose(u,compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,661]),
    [iquote('0:SpR:648.0,661.0')] ).

cnf(35019,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),compose(g,a))),compose(compose(u,compose(h,a)),compose(g,a))),compose(compose(u,compose(h,a)),compose(g,a))),compose(compose(u,compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,661]),
    [iquote('0:SpR:519.0,661.0')] ).

cnf(34945,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),u)),compose(compose(compose(h,a),compose(g,a)),u)),compose(compose(compose(h,a),compose(g,a)),u)),compose(compose(compose(h,a),compose(g,a)),u)),
    inference(spr,[status(thm),theory(equality)],[284,522]),
    [iquote('0:SpR:284.0,522.0')] ).

cnf(34947,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),u)),compose(compose(compose(g,a),compose(g,a)),u)),compose(compose(compose(g,a),compose(g,a)),u)),compose(compose(compose(g,a),compose(g,a)),u)),
    inference(spr,[status(thm),theory(equality)],[285,522]),
    [iquote('0:SpR:285.0,522.0')] ).

cnf(6054,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)],[500,422]),
    [iquote('0:SpR:500.0,422.0')] ).

cnf(34948,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),u)),compose(compose(compose(a,b),compose(g,a)),u)),compose(compose(compose(a,b),compose(g,a)),u)),compose(compose(compose(a,b),compose(g,a)),u)),
    inference(spr,[status(thm),theory(equality)],[500,522]),
    [iquote('0:SpR:500.0,522.0')] ).

cnf(34955,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),compose(h,a))),compose(compose(u,compose(g,a)),compose(h,a))),compose(compose(u,compose(g,a)),compose(h,a))),compose(compose(u,compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,522]),
    [iquote('0:SpR:648.0,522.0')] ).

cnf(34956,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),compose(g,a))),compose(compose(u,compose(g,a)),compose(g,a))),compose(compose(u,compose(g,a)),compose(g,a))),compose(compose(u,compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,522]),
    [iquote('0:SpR:519.0,522.0')] ).

cnf(22591,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),g)),compose(compose(u,compose(h,compose(a,b))),g)),compose(compose(u,compose(h,compose(a,b))),g)),compose(compose(u,compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,22535]),
    [iquote('0:Rew:205.0,22535.0')] ).

cnf(19972,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(h,compose(a,b))),u)),compose(compose(h,compose(h,compose(a,b))),u)),compose(compose(h,compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,19922]),
    [iquote('0:Rew:205.0,19922.0')] ).

cnf(5936,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),compose(h,a))),compose(compose(u,compose(a,b)),compose(h,a))),compose(compose(u,compose(a,b)),compose(h,a))),compose(compose(u,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,514]),
    [iquote('0:SpR:648.0,514.0')] ).

cnf(34492,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(h,a),g)),compose(compose(compose(h,a),compose(h,a)),g)),compose(compose(compose(h,a),compose(h,a)),g)),compose(compose(compose(h,a),compose(h,a)),g)),
    inference(spr,[status(thm),theory(equality)],[284,22578]),
    [iquote('0:SpR:284.0,22578.0')] ).

cnf(34494,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(h,a),g)),compose(compose(compose(g,a),compose(h,a)),g)),compose(compose(compose(g,a),compose(h,a)),g)),compose(compose(compose(g,a),compose(h,a)),g)),
    inference(spr,[status(thm),theory(equality)],[285,22578]),
    [iquote('0:SpR:285.0,22578.0')] ).

cnf(34495,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(h,a),g)),compose(compose(compose(a,b),compose(h,a)),g)),compose(compose(compose(a,b),compose(h,a)),g)),compose(compose(compose(a,b),compose(h,a)),g)),
    inference(spr,[status(thm),theory(equality)],[500,22578]),
    [iquote('0:SpR:500.0,22578.0')] ).

cnf(19765,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,u)),compose(compose(compose(h,compose(a,b)),h),u)),compose(compose(compose(h,compose(a,b)),h),u)),compose(compose(compose(h,compose(a,b)),h),u)),
    inference(spr,[status(thm),theory(equality)],[501,431]),
    [iquote('0:SpR:501.0,431.0')] ).

cnf(34472,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(compose(g,a),g)),compose(compose(compose(h,a),compose(g,a)),g)),compose(compose(compose(h,a),compose(g,a)),g)),compose(compose(compose(h,a),compose(g,a)),g)),
    inference(spr,[status(thm),theory(equality)],[284,22577]),
    [iquote('0:SpR:284.0,22577.0')] ).

cnf(34474,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(compose(g,a),g)),compose(compose(compose(g,a),compose(g,a)),g)),compose(compose(compose(g,a),compose(g,a)),g)),compose(compose(compose(g,a),compose(g,a)),g)),
    inference(spr,[status(thm),theory(equality)],[285,22577]),
    [iquote('0:SpR:285.0,22577.0')] ).

cnf(34475,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(compose(g,a),g)),compose(compose(compose(a,b),compose(g,a)),g)),compose(compose(compose(a,b),compose(g,a)),g)),compose(compose(compose(a,b),compose(g,a)),g)),
    inference(spr,[status(thm),theory(equality)],[500,22577]),
    [iquote('0:SpR:500.0,22577.0')] ).

cnf(34451,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),compose(h,a))),compose(compose(h,compose(h,a)),compose(h,a))),compose(compose(h,compose(h,a)),compose(h,a))),compose(compose(h,compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,19959]),
    [iquote('0:SpR:648.0,19959.0')] ).

cnf(19774,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(h,compose(a,b)))),compose(compose(u,h),compose(h,compose(a,b)))),compose(compose(u,h),compose(h,compose(a,b)))),compose(compose(u,h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,431]),
    [iquote('0:SpR:205.0,431.0')] ).

cnf(34452,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),compose(g,a))),compose(compose(h,compose(h,a)),compose(g,a))),compose(compose(h,compose(h,a)),compose(g,a))),compose(compose(h,compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,19959]),
    [iquote('0:SpR:519.0,19959.0')] ).

cnf(34431,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),compose(h,a))),compose(compose(h,compose(g,a)),compose(h,a))),compose(compose(h,compose(g,a)),compose(h,a))),compose(compose(h,compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,19958]),
    [iquote('0:SpR:648.0,19958.0')] ).

cnf(34432,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),compose(g,a))),compose(compose(h,compose(g,a)),compose(g,a))),compose(compose(h,compose(g,a)),compose(g,a))),compose(compose(h,compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,19958]),
    [iquote('0:SpR:519.0,19958.0')] ).

cnf(34252,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(h,a))),compose(compose(compose(h,a),h),compose(h,a))),compose(compose(compose(h,a),h),compose(h,a))),compose(compose(compose(h,a),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,19775]),
    [iquote('0:SpR:284.0,19775.0')] ).

cnf(6108,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),compose(a,b))),compose(compose(u,compose(h,a)),compose(a,b))),compose(compose(u,compose(h,a)),compose(a,b))),compose(compose(u,compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,6061]),
    [iquote('0:Rew:648.0,6061.0')] ).

cnf(34254,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(h,a))),compose(compose(compose(g,a),h),compose(h,a))),compose(compose(compose(g,a),h),compose(h,a))),compose(compose(compose(g,a),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,19775]),
    [iquote('0:SpR:285.0,19775.0')] ).

cnf(34255,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(h,a))),compose(compose(compose(a,b),h),compose(h,a))),compose(compose(compose(a,b),h),compose(h,a))),compose(compose(compose(a,b),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,19775]),
    [iquote('0:SpR:500.0,19775.0')] ).

cnf(34236,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(g,a))),compose(compose(compose(h,a),h),compose(g,a))),compose(compose(compose(h,a),h),compose(g,a))),compose(compose(compose(h,a),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,19776]),
    [iquote('0:SpR:284.0,19776.0')] ).

cnf(34238,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(g,a))),compose(compose(compose(g,a),h),compose(g,a))),compose(compose(compose(g,a),h),compose(g,a))),compose(compose(compose(g,a),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,19776]),
    [iquote('0:SpR:285.0,19776.0')] ).

cnf(6107,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),compose(a,b))),compose(compose(u,compose(g,a)),compose(a,b))),compose(compose(u,compose(g,a)),compose(a,b))),compose(compose(u,compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,6063]),
    [iquote('0:Rew:519.0,6063.0')] ).

cnf(34239,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(g,a))),compose(compose(compose(a,b),h),compose(g,a))),compose(compose(compose(a,b),h),compose(g,a))),compose(compose(compose(a,b),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,19776]),
    [iquote('0:SpR:500.0,19776.0')] ).

cnf(34214,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),g)),compose(compose(compose(h,a),compose(a,b)),g)),compose(compose(compose(h,a),compose(a,b)),g)),compose(compose(compose(h,a),compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[284,5939]),
    [iquote('0:SpR:284.0,5939.0')] ).

cnf(34216,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),g)),compose(compose(compose(g,a),compose(a,b)),g)),compose(compose(compose(g,a),compose(a,b)),g)),compose(compose(compose(g,a),compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[285,5939]),
    [iquote('0:SpR:285.0,5939.0')] ).

cnf(34217,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[500,5939]),
    [iquote('0:SpR:500.0,5939.0')] ).

cnf(5925,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(compose(a,b),u)),compose(compose(compose(h,a),compose(a,b)),u)),compose(compose(compose(h,a),compose(a,b)),u)),compose(compose(compose(h,a),compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[284,514]),
    [iquote('0:SpR:284.0,514.0')] ).

cnf(34058,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),compose(h,a))),compose(compose(a,compose(h,a)),compose(h,a))),compose(compose(a,compose(h,a)),compose(h,a))),compose(compose(a,compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5034]),
    [iquote('0:SpR:648.0,5034.0')] ).

cnf(34059,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),compose(g,a))),compose(compose(a,compose(h,a)),compose(g,a))),compose(compose(a,compose(h,a)),compose(g,a))),compose(compose(a,compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5034]),
    [iquote('0:SpR:519.0,5034.0')] ).

cnf(34038,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),compose(h,a))),compose(compose(a,compose(g,a)),compose(h,a))),compose(compose(a,compose(g,a)),compose(h,a))),compose(compose(a,compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5033]),
    [iquote('0:SpR:648.0,5033.0')] ).

cnf(34039,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),compose(g,a))),compose(compose(a,compose(g,a)),compose(g,a))),compose(compose(a,compose(g,a)),compose(g,a))),compose(compose(a,compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5033]),
    [iquote('0:SpR:519.0,5033.0')] ).

cnf(5927,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(compose(a,b),u)),compose(compose(compose(g,a),compose(a,b)),u)),compose(compose(compose(g,a),compose(a,b)),u)),compose(compose(compose(g,a),compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[285,514]),
    [iquote('0:SpR:285.0,514.0')] ).

cnf(34020,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),compose(h,a))),compose(compose(a,compose(a,b)),compose(h,a))),compose(compose(a,compose(a,b)),compose(h,a))),compose(compose(a,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5032]),
    [iquote('0:SpR:648.0,5032.0')] ).

cnf(34021,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(compose(a,b),compose(g,a))),compose(compose(a,compose(a,b)),compose(g,a))),compose(compose(a,compose(a,b)),compose(g,a))),compose(compose(a,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5032]),
    [iquote('0:SpR:519.0,5032.0')] ).

cnf(34002,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),compose(h,a))),compose(compose(g,compose(h,a)),compose(h,a))),compose(compose(g,compose(h,a)),compose(h,a))),compose(compose(g,compose(h,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4872]),
    [iquote('0:SpR:648.0,4872.0')] ).

cnf(34003,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),compose(g,a))),compose(compose(g,compose(h,a)),compose(g,a))),compose(compose(g,compose(h,a)),compose(g,a))),compose(compose(g,compose(h,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4872]),
    [iquote('0:SpR:519.0,4872.0')] ).

cnf(5928,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)],[500,514]),
    [iquote('0:SpR:500.0,514.0')] ).

cnf(33852,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),compose(h,a))),compose(compose(g,compose(g,a)),compose(h,a))),compose(compose(g,compose(g,a)),compose(h,a))),compose(compose(g,compose(g,a)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4871]),
    [iquote('0:SpR:648.0,4871.0')] ).

cnf(33853,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),compose(g,a))),compose(compose(g,compose(g,a)),compose(g,a))),compose(compose(g,compose(g,a)),compose(g,a))),compose(compose(g,compose(g,a)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4871]),
    [iquote('0:SpR:519.0,4871.0')] ).

cnf(33640,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,compose(h,a))),compose(compose(compose(h,a),a),compose(h,a))),compose(compose(compose(h,a),a),compose(h,a))),compose(compose(compose(h,a),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,4629]),
    [iquote('0:SpR:284.0,4629.0')] ).

cnf(33642,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,compose(h,a))),compose(compose(compose(g,a),a),compose(h,a))),compose(compose(compose(g,a),a),compose(h,a))),compose(compose(compose(g,a),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,4629]),
    [iquote('0:SpR:285.0,4629.0')] ).

cnf(5937,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),compose(g,a))),compose(compose(u,compose(a,b)),compose(g,a))),compose(compose(u,compose(a,b)),compose(g,a))),compose(compose(u,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,514]),
    [iquote('0:SpR:519.0,514.0')] ).

cnf(33643,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,compose(h,a))),compose(compose(compose(a,b),a),compose(h,a))),compose(compose(compose(a,b),a),compose(h,a))),compose(compose(compose(a,b),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,4629]),
    [iquote('0:SpR:500.0,4629.0')] ).

cnf(33622,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,compose(g,a))),compose(compose(compose(h,a),a),compose(g,a))),compose(compose(compose(h,a),a),compose(g,a))),compose(compose(compose(h,a),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,4630]),
    [iquote('0:SpR:284.0,4630.0')] ).

cnf(33624,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,compose(g,a))),compose(compose(compose(g,a),a),compose(g,a))),compose(compose(compose(g,a),a),compose(g,a))),compose(compose(compose(g,a),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,4630]),
    [iquote('0:SpR:285.0,4630.0')] ).

cnf(33625,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,compose(g,a))),compose(compose(compose(a,b),a),compose(g,a))),compose(compose(compose(a,b),a),compose(g,a))),compose(compose(compose(a,b),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,4630]),
    [iquote('0:SpR:500.0,4630.0')] ).

cnf(22317,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,511]),
    [iquote('0:SpR:500.0,511.0')] ).

cnf(33447,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,compose(h,a))),compose(compose(compose(h,a),g),compose(h,a))),compose(compose(compose(h,a),g),compose(h,a))),compose(compose(compose(h,a),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,4456]),
    [iquote('0:SpR:284.0,4456.0')] ).

cnf(33449,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,compose(h,a))),compose(compose(compose(g,a),g),compose(h,a))),compose(compose(compose(g,a),g),compose(h,a))),compose(compose(compose(g,a),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,4456]),
    [iquote('0:SpR:285.0,4456.0')] ).

cnf(33450,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,compose(h,a))),compose(compose(compose(a,b),g),compose(h,a))),compose(compose(compose(a,b),g),compose(h,a))),compose(compose(compose(a,b),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,4456]),
    [iquote('0:SpR:500.0,4456.0')] ).

cnf(33427,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,compose(g,a))),compose(compose(compose(h,a),g),compose(g,a))),compose(compose(compose(h,a),g),compose(g,a))),compose(compose(compose(h,a),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,4457]),
    [iquote('0:SpR:284.0,4457.0')] ).

cnf(22141,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,508]),
    [iquote('0:SpR:500.0,508.0')] ).

cnf(33429,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,compose(g,a))),compose(compose(compose(g,a),g),compose(g,a))),compose(compose(compose(g,a),g),compose(g,a))),compose(compose(compose(g,a),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,4457]),
    [iquote('0:SpR:285.0,4457.0')] ).

cnf(33430,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,compose(g,a))),compose(compose(compose(a,b),g),compose(g,a))),compose(compose(compose(a,b),g),compose(g,a))),compose(compose(compose(a,b),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,4457]),
    [iquote('0:SpR:500.0,4457.0')] ).

cnf(27339,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),compose(a,b))),compose(compose(h,compose(h,a)),compose(a,b))),compose(compose(h,compose(h,a)),compose(a,b))),compose(compose(h,compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,27315]),
    [iquote('0:Rew:648.0,27315.0')] ).

cnf(27338,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),compose(a,b))),compose(compose(h,compose(g,a)),compose(a,b))),compose(compose(h,compose(g,a)),compose(a,b))),compose(compose(h,compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,27317]),
    [iquote('0:Rew:519.0,27317.0')] ).

cnf(27181,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),compose(a,b))),compose(compose(a,compose(h,a)),compose(a,b))),compose(compose(a,compose(h,a)),compose(a,b))),compose(compose(a,compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,27159]),
    [iquote('0:Rew:648.0,27159.0')] ).

cnf(27180,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),compose(a,b))),compose(compose(a,compose(g,a)),compose(a,b))),compose(compose(a,compose(g,a)),compose(a,b))),compose(compose(a,compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,27161]),
    [iquote('0:Rew:519.0,27161.0')] ).

cnf(27179,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(rew,[status(thm),theory(equality)],[133,27162]),
    [iquote('0:Rew:133.0,27162.0')] ).

cnf(27044,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),compose(a,b))),compose(compose(g,compose(h,a)),compose(a,b))),compose(compose(g,compose(h,a)),compose(a,b))),compose(compose(g,compose(h,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[648,27020]),
    [iquote('0:Rew:648.0,27020.0')] ).

cnf(27043,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),compose(a,b))),compose(compose(g,compose(g,a)),compose(a,b))),compose(compose(g,compose(g,a)),compose(a,b))),compose(compose(g,compose(g,a)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[519,27022]),
    [iquote('0:Rew:519.0,27022.0')] ).

cnf(26969,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,compose(a,b))),compose(compose(compose(h,a),a),compose(a,b))),compose(compose(compose(h,a),a),compose(a,b))),compose(compose(compose(h,a),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,4627]),
    [iquote('0:SpR:284.0,4627.0')] ).

cnf(26971,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,compose(a,b))),compose(compose(compose(g,a),a),compose(a,b))),compose(compose(compose(g,a),a),compose(a,b))),compose(compose(compose(g,a),a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,4627]),
    [iquote('0:SpR:285.0,4627.0')] ).

cnf(22288,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(h,compose(a,b))),g)),compose(compose(h,compose(h,compose(a,b))),g)),compose(compose(h,compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,22263]),
    [iquote('0:Rew:205.0,22263.0')] ).

cnf(22242,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),g)),compose(compose(a,compose(h,compose(a,b))),g)),compose(compose(a,compose(h,compose(a,b))),g)),compose(compose(a,compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,22219]),
    [iquote('0:Rew:205.0,22219.0')] ).

cnf(22198,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),g)),compose(compose(g,compose(h,compose(a,b))),g)),compose(compose(g,compose(h,compose(a,b))),g)),compose(compose(g,compose(h,compose(a,b))),g)),
    inference(rew,[status(thm),theory(equality)],[205,22171]),
    [iquote('0:Rew:205.0,22171.0')] ).

cnf(26972,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)],[500,4627]),
    [iquote('0:SpR:500.0,4627.0')] ).

cnf(22119,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(h,compose(a,b)))),compose(compose(h,h),compose(h,compose(a,b)))),compose(compose(h,h),compose(h,compose(a,b)))),compose(compose(h,h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,19768]),
    [iquote('0:SpR:205.0,19768.0')] ).

cnf(22099,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,g)),compose(compose(compose(h,compose(a,b)),h),g)),compose(compose(compose(h,compose(a,b)),h),g)),compose(compose(compose(h,compose(a,b)),h),g)),
    inference(spr,[status(thm),theory(equality)],[501,19777]),
    [iquote('0:SpR:501.0,19777.0')] ).

cnf(22044,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,g)),compose(compose(compose(h,compose(a,b)),a),g)),compose(compose(compose(h,compose(a,b)),a),g)),compose(compose(compose(h,compose(a,b)),a),g)),
    inference(spr,[status(thm),theory(equality)],[501,4632]),
    [iquote('0:SpR:501.0,4632.0')] ).

cnf(22026,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,g)),compose(compose(compose(h,compose(a,b)),g),g)),compose(compose(compose(h,compose(a,b)),g),g)),compose(compose(compose(h,compose(a,b)),g),g)),
    inference(spr,[status(thm),theory(equality)],[501,4459]),
    [iquote('0:SpR:501.0,4459.0')] ).

cnf(19087,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(h,compose(a,b)))),compose(compose(a,h),compose(h,compose(a,b)))),compose(compose(a,h),compose(h,compose(a,b)))),compose(compose(a,h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5008]),
    [iquote('0:SpR:205.0,5008.0')] ).

cnf(18969,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(h,compose(a,b)))),compose(compose(g,h),compose(h,compose(a,b)))),compose(compose(g,h),compose(h,compose(a,b)))),compose(compose(g,h),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4841]),
    [iquote('0:SpR:205.0,4841.0')] ).

cnf(18913,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,compose(h,compose(a,b)))),compose(compose(a,a),compose(h,compose(a,b)))),compose(compose(a,a),compose(h,compose(a,b)))),compose(compose(a,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4615]),
    [iquote('0:SpR:205.0,4615.0')] ).

cnf(17324,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,8217]),
    [iquote('0:SpR:501.0,8217.0')] ).

cnf(17305,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b),compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,8215]),
    [iquote('0:SpR:501.0,8215.0')] ).

cnf(18881,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,compose(h,compose(a,b)))),compose(compose(a,g),compose(h,compose(a,b)))),compose(compose(a,g),compose(h,compose(a,b)))),compose(compose(a,g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4442]),
    [iquote('0:SpR:205.0,4442.0')] ).

cnf(17287,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(h,a),a),compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2725]),
    [iquote('0:SpR:501.0,2725.0')] ).

cnf(17266,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(g,a),a),compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2727]),
    [iquote('0:SpR:501.0,2727.0')] ).

cnf(17247,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(a,b),a),compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2728]),
    [iquote('0:SpR:501.0,2728.0')] ).

cnf(17229,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(compose(h,compose(a,b)),a),compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2671]),
    [iquote('0:SpR:501.0,2671.0')] ).

cnf(18856,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,compose(h,compose(a,b)))),compose(compose(h,g),compose(h,compose(a,b)))),compose(compose(h,g),compose(h,compose(a,b)))),compose(compose(h,g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4450]),
    [iquote('0:SpR:205.0,4450.0')] ).

cnf(17212,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(compose(h,compose(a,b)),a),compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2673]),
    [iquote('0:SpR:501.0,2673.0')] ).

cnf(17193,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(compose(h,compose(a,b)),a),compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2674]),
    [iquote('0:SpR:501.0,2674.0')] ).

cnf(17175,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2640]),
    [iquote('0:SpR:501.0,2640.0')] ).

cnf(17154,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(compose(a,b),b),compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2630]),
    [iquote('0:SpR:501.0,2630.0')] ).

cnf(18831,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,compose(h,compose(a,b)))),compose(compose(g,g),compose(h,compose(a,b)))),compose(compose(g,g),compose(h,compose(a,b)))),compose(compose(g,g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4451]),
    [iquote('0:SpR:205.0,4451.0')] ).

cnf(17133,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b),compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2547]),
    [iquote('0:SpR:501.0,2547.0')] ).

cnf(17068,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(compose(h,compose(a,b)),b),compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2537]),
    [iquote('0:SpR:501.0,2537.0')] ).

cnf(13378,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain__dfg(u),a),domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2723]),
    [iquote('0:SpR:501.0,2723.0')] ).

cnf(13261,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(u),a),codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2724]),
    [iquote('0:SpR:501.0,2724.0')] ).

cnf(13202,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(h,compose(a,b)),a),domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2669]),
    [iquote('0:SpR:501.0,2669.0')] ).

cnf(13148,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(h,compose(a,b)),a),codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2670]),
    [iquote('0:SpR:501.0,2670.0')] ).

cnf(13097,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain__dfg(u),b),domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2625]),
    [iquote('0:SpR:501.0,2625.0')] ).

cnf(13045,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(u),b),codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2626]),
    [iquote('0:SpR:501.0,2626.0')] ).

cnf(12991,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(compose(h,compose(a,b)),b),domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2532]),
    [iquote('0:SpR:501.0,2532.0')] ).

cnf(12940,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(codomain(u),b),compose(compose(h,compose(a,b)),b),codomain(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2533]),
    [iquote('0:SpR:501.0,2533.0')] ).

cnf(21492,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2356]),
    [iquote('0:SpR:205.0,2356.0')] ).

cnf(21473,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,21441]),
    [iquote('0:Rew:205.0,21441.0')] ).

cnf(38376,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)],[3,38359]),
    [iquote('0:Rew:3.0,38359.0')] ).

cnf(29696,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)],[25,5828]),
    [iquote('0:SpR:25.0,5828.0')] ).

cnf(28701,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)],[23,28671]),
    [iquote('0:Rew:23.0,28671.0')] ).

cnf(28700,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)],[3,28672]),
    [iquote('0:Rew:3.0,28672.0')] ).

cnf(27880,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)],[23,27851]),
    [iquote('0:Rew:23.0,27851.0')] ).

cnf(27879,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)],[3,27852]),
    [iquote('0:Rew:3.0,27852.0')] ).

cnf(27590,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)],[23,27572]),
    [iquote('0:Rew:23.0,27572.0')] ).

cnf(27589,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)],[3,27573]),
    [iquote('0:Rew:3.0,27573.0')] ).

cnf(25916,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),v)),compose(compose(compose(h,a),codomain(u)),v)),compose(compose(compose(h,a),codomain(u)),v)),compose(compose(compose(h,a),codomain(u)),v)),
    inference(spr,[status(thm),theory(equality)],[284,467]),
    [iquote('0:SpR:284.0,467.0')] ).

cnf(25918,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),v)),compose(compose(compose(g,a),codomain(u)),v)),compose(compose(compose(g,a),codomain(u)),v)),compose(compose(compose(g,a),codomain(u)),v)),
    inference(spr,[status(thm),theory(equality)],[285,467]),
    [iquote('0:SpR:285.0,467.0')] ).

cnf(25919,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)],[500,467]),
    [iquote('0:SpR:500.0,467.0')] ).

cnf(25927,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),compose(h,a))),compose(compose(v,codomain(u)),compose(h,a))),compose(compose(v,codomain(u)),compose(h,a))),compose(compose(v,codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,467]),
    [iquote('0:SpR:648.0,467.0')] ).

cnf(25928,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),codomain(u),compose(v,compose(codomain(u),compose(g,a))),compose(compose(v,codomain(u)),compose(g,a))),compose(compose(v,codomain(u)),compose(g,a))),compose(compose(v,codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,467]),
    [iquote('0:SpR:519.0,467.0')] ).

cnf(25724,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,compose(h,a))),compose(compose(codomain(v),u),compose(h,a))),compose(compose(codomain(v),u),compose(h,a))),compose(compose(codomain(v),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,414]),
    [iquote('0:SpR:648.0,414.0')] ).

cnf(25725,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(codomain(v),compose(u,compose(g,a))),compose(compose(codomain(v),u),compose(g,a))),compose(compose(codomain(v),u),compose(g,a))),compose(compose(codomain(v),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,414]),
    [iquote('0:SpR:519.0,414.0')] ).

cnf(25558,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,domain__dfg(v))),compose(compose(compose(h,a),u),domain__dfg(v))),compose(compose(compose(h,a),u),domain__dfg(v))),compose(compose(compose(h,a),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[284,421]),
    [iquote('0:SpR:284.0,421.0')] ).

cnf(25560,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,domain__dfg(v))),compose(compose(compose(g,a),u),domain__dfg(v))),compose(compose(compose(g,a),u),domain__dfg(v))),compose(compose(compose(g,a),u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[285,421]),
    [iquote('0:SpR:285.0,421.0')] ).

cnf(25561,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)],[500,421]),
    [iquote('0:SpR:500.0,421.0')] ).

cnf(5820,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),v)),compose(compose(compose(h,a),domain__dfg(u)),v)),compose(compose(compose(h,a),domain__dfg(u)),v)),compose(compose(compose(h,a),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[284,468]),
    [iquote('0:SpR:284.0,468.0')] ).

cnf(5822,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),v)),compose(compose(compose(g,a),domain__dfg(u)),v)),compose(compose(compose(g,a),domain__dfg(u)),v)),compose(compose(compose(g,a),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[285,468]),
    [iquote('0:SpR:285.0,468.0')] ).

cnf(5823,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)],[500,468]),
    [iquote('0:SpR:500.0,468.0')] ).

cnf(5831,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),compose(h,a))),compose(compose(v,domain__dfg(u)),compose(h,a))),compose(compose(v,domain__dfg(u)),compose(h,a))),compose(compose(v,domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,468]),
    [iquote('0:SpR:648.0,468.0')] ).

cnf(5832,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),compose(g,a))),compose(compose(v,domain__dfg(u)),compose(g,a))),compose(compose(v,domain__dfg(u)),compose(g,a))),compose(compose(v,domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,468]),
    [iquote('0:SpR:519.0,468.0')] ).

cnf(5644,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,compose(h,a))),compose(compose(domain__dfg(v),u),compose(h,a))),compose(compose(domain__dfg(v),u),compose(h,a))),compose(compose(domain__dfg(v),u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,413]),
    [iquote('0:SpR:648.0,413.0')] ).

cnf(5645,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,compose(g,a))),compose(compose(domain__dfg(v),u),compose(g,a))),compose(compose(domain__dfg(v),u),compose(g,a))),compose(compose(domain__dfg(v),u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,413]),
    [iquote('0:SpR:519.0,413.0')] ).

cnf(5415,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,codomain(v))),compose(compose(compose(h,a),u),codomain(v))),compose(compose(compose(h,a),u),codomain(v))),compose(compose(compose(h,a),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[284,420]),
    [iquote('0:SpR:284.0,420.0')] ).

cnf(5417,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,codomain(v))),compose(compose(compose(g,a),u),codomain(v))),compose(compose(compose(g,a),u),codomain(v))),compose(compose(compose(g,a),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[285,420]),
    [iquote('0:SpR:285.0,420.0')] ).

cnf(5418,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)],[500,420]),
    [iquote('0:SpR:500.0,420.0')] ).

cnf(25761,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(h,a),u)),compose(compose(codomain(v),compose(h,a)),u)),compose(compose(codomain(v),compose(h,a)),u)),compose(compose(codomain(v),compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,25730]),
    [iquote('0:Rew:648.0,25730.0')] ).

cnf(25760,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(codomain(v),compose(compose(g,a),u)),compose(compose(codomain(v),compose(g,a)),u)),compose(compose(codomain(v),compose(g,a)),u)),compose(compose(codomain(v),compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,25732]),
    [iquote('0:Rew:519.0,25732.0')] ).

cnf(25627,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,a),domain__dfg(u))),compose(compose(v,compose(h,a)),domain__dfg(u))),compose(compose(v,compose(h,a)),domain__dfg(u))),compose(compose(v,compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,25574]),
    [iquote('0:Rew:648.0,25574.0')] ).

cnf(25626,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(g,a),domain__dfg(u))),compose(compose(v,compose(g,a)),domain__dfg(u))),compose(compose(v,compose(g,a)),domain__dfg(u))),compose(compose(v,compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,25576]),
    [iquote('0:Rew:519.0,25576.0')] ).

cnf(5696,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,a),u)),compose(compose(domain__dfg(v),compose(h,a)),u)),compose(compose(domain__dfg(v),compose(h,a)),u)),compose(compose(domain__dfg(v),compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,5651]),
    [iquote('0:Rew:648.0,5651.0')] ).

cnf(5695,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(g,a),u)),compose(compose(domain__dfg(v),compose(g,a)),u)),compose(compose(domain__dfg(v),compose(g,a)),u)),compose(compose(domain__dfg(v),compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,5653]),
    [iquote('0:Rew:519.0,5653.0')] ).

cnf(5694,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)],[133,5654]),
    [iquote('0:Rew:133.0,5654.0')] ).

cnf(5489,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,a),codomain(u))),compose(compose(v,compose(h,a)),codomain(u))),compose(compose(v,compose(h,a)),codomain(u))),compose(compose(v,compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,5435]),
    [iquote('0:Rew:648.0,5435.0')] ).

cnf(29930,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(codomain(u),g)),compose(compose(compose(h,a),codomain(u)),g)),compose(compose(compose(h,a),codomain(u)),g)),compose(compose(compose(h,a),codomain(u)),g)),
    inference(spr,[status(thm),theory(equality)],[284,22560]),
    [iquote('0:SpR:284.0,22560.0')] ).

cnf(5488,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(g,a),codomain(u))),compose(compose(v,compose(g,a)),codomain(u))),compose(compose(v,compose(g,a)),codomain(u))),compose(compose(v,compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,5437]),
    [iquote('0:Rew:519.0,5437.0')] ).

cnf(29932,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(codomain(u),g)),compose(compose(compose(g,a),codomain(u)),g)),compose(compose(compose(g,a),codomain(u)),g)),compose(compose(compose(g,a),codomain(u)),g)),
    inference(spr,[status(thm),theory(equality)],[285,22560]),
    [iquote('0:SpR:285.0,22560.0')] ).

cnf(29933,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[500,22560]),
    [iquote('0:SpR:500.0,22560.0')] ).

cnf(29782,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),compose(h,a))),compose(compose(h,codomain(u)),compose(h,a))),compose(compose(h,codomain(u)),compose(h,a))),compose(compose(h,codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,19949]),
    [iquote('0:SpR:648.0,19949.0')] ).

cnf(29783,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),compose(g,a))),compose(compose(h,codomain(u)),compose(g,a))),compose(compose(h,codomain(u)),compose(g,a))),compose(compose(h,codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,19949]),
    [iquote('0:SpR:519.0,19949.0')] ).

cnf(5487,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)],[133,5438]),
    [iquote('0:Rew:133.0,5438.0')] ).

cnf(29507,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(u),g)),compose(compose(compose(h,a),domain__dfg(u)),g)),compose(compose(compose(h,a),domain__dfg(u)),g)),compose(compose(compose(h,a),domain__dfg(u)),g)),
    inference(spr,[status(thm),theory(equality)],[284,5834]),
    [iquote('0:SpR:284.0,5834.0')] ).

cnf(29509,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(u),g)),compose(compose(compose(g,a),domain__dfg(u)),g)),compose(compose(compose(g,a),domain__dfg(u)),g)),compose(compose(compose(g,a),domain__dfg(u)),g)),
    inference(spr,[status(thm),theory(equality)],[285,5834]),
    [iquote('0:SpR:285.0,5834.0')] ).

cnf(29510,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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)],[500,5834]),
    [iquote('0:SpR:500.0,5834.0')] ).

cnf(27333,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),compose(a,b))),compose(compose(h,codomain(u)),compose(a,b))),compose(compose(h,codomain(u)),compose(a,b))),compose(compose(h,codomain(u)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[3,27314]),
    [iquote('0:Rew:3.0,27314.0')] ).

cnf(24962,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),compose(a,b))),compose(compose(h,domain__dfg(u)),compose(a,b))),compose(compose(h,domain__dfg(u)),compose(a,b))),compose(compose(h,domain__dfg(u)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[133,5825]),
    [iquote('0:SpR:133.0,5825.0')] ).

cnf(24964,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),compose(h,a))),compose(compose(h,domain__dfg(u)),compose(h,a))),compose(compose(h,domain__dfg(u)),compose(h,a))),compose(compose(h,domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5825]),
    [iquote('0:SpR:648.0,5825.0')] ).

cnf(24965,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),compose(g,a))),compose(compose(h,domain__dfg(u)),compose(g,a))),compose(compose(h,domain__dfg(u)),compose(g,a))),compose(compose(h,domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5825]),
    [iquote('0:SpR:519.0,5825.0')] ).

cnf(24787,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)],[133,5027]),
    [iquote('0:SpR:133.0,5027.0')] ).

cnf(24789,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),compose(h,a))),compose(compose(a,domain__dfg(u)),compose(h,a))),compose(compose(a,domain__dfg(u)),compose(h,a))),compose(compose(a,domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5027]),
    [iquote('0:SpR:648.0,5027.0')] ).

cnf(24790,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(domain__dfg(u),compose(g,a))),compose(compose(a,domain__dfg(u)),compose(g,a))),compose(compose(a,domain__dfg(u)),compose(g,a))),compose(compose(a,domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5027]),
    [iquote('0:SpR:519.0,5027.0')] ).

cnf(24718,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)],[133,5026]),
    [iquote('0:SpR:133.0,5026.0')] ).

cnf(24720,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),compose(h,a))),compose(compose(a,codomain(u)),compose(h,a))),compose(compose(a,codomain(u)),compose(h,a))),compose(compose(a,codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5026]),
    [iquote('0:SpR:648.0,5026.0')] ).

cnf(24721,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),codomain(u),compose(a,compose(codomain(u),compose(g,a))),compose(compose(a,codomain(u)),compose(g,a))),compose(compose(a,codomain(u)),compose(g,a))),compose(compose(a,codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5026]),
    [iquote('0:SpR:519.0,5026.0')] ).

cnf(24461,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(domain__dfg(u),compose(h,a))),compose(compose(g,domain__dfg(u)),compose(h,a))),compose(compose(g,domain__dfg(u)),compose(h,a))),compose(compose(g,domain__dfg(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4865]),
    [iquote('0:SpR:648.0,4865.0')] ).

cnf(24459,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),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)],[133,4865]),
    [iquote('0:SpR:133.0,4865.0')] ).

cnf(24392,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(g,compose(codomain(u),compose(h,a))),compose(compose(g,codomain(u)),compose(h,a))),compose(compose(g,codomain(u)),compose(h,a))),compose(compose(g,codomain(u)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4864]),
    [iquote('0:SpR:648.0,4864.0')] ).

cnf(29873,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(h,a),g)),compose(compose(codomain(u),compose(h,a)),g)),compose(compose(codomain(u),compose(h,a)),g)),compose(compose(codomain(u),compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,29853]),
    [iquote('0:Rew:648.0,29853.0')] ).

cnf(29872,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(compose(g,a),g)),compose(compose(codomain(u),compose(g,a)),g)),compose(compose(codomain(u),compose(g,a)),g)),compose(compose(codomain(u),compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,29855]),
    [iquote('0:Rew:519.0,29855.0')] ).

cnf(29871,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[133,29856]),
    [iquote('0:Rew:133.0,29856.0')] ).

cnf(24462,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(domain__dfg(u),compose(g,a))),compose(compose(g,domain__dfg(u)),compose(g,a))),compose(compose(g,domain__dfg(u)),compose(g,a))),compose(compose(g,domain__dfg(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4865]),
    [iquote('0:SpR:519.0,4865.0')] ).

cnf(29620,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),domain__dfg(u))),compose(compose(h,compose(h,a)),domain__dfg(u))),compose(compose(h,compose(h,a)),domain__dfg(u))),compose(compose(h,compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,29591]),
    [iquote('0:Rew:648.0,29591.0')] ).

cnf(29619,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),domain__dfg(u))),compose(compose(h,compose(g,a)),domain__dfg(u))),compose(compose(h,compose(g,a)),domain__dfg(u))),compose(compose(h,compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,29593]),
    [iquote('0:Rew:519.0,29593.0')] ).

cnf(29449,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(h,a),g)),compose(compose(domain__dfg(u),compose(h,a)),g)),compose(compose(domain__dfg(u),compose(h,a)),g)),compose(compose(domain__dfg(u),compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,29418]),
    [iquote('0:Rew:648.0,29418.0')] ).

cnf(29448,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(compose(g,a),g)),compose(compose(domain__dfg(u),compose(g,a)),g)),compose(compose(domain__dfg(u),compose(g,a)),g)),compose(compose(domain__dfg(u),compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,29420]),
    [iquote('0:Rew:519.0,29420.0')] ).

cnf(24390,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),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)],[133,4864]),
    [iquote('0:SpR:133.0,4864.0')] ).

cnf(29447,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[133,29421]),
    [iquote('0:Rew:133.0,29421.0')] ).

cnf(29350,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(h,a))),compose(compose(codomain(u),h),compose(h,a))),compose(compose(codomain(u),h),compose(h,a))),compose(compose(codomain(u),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,19763]),
    [iquote('0:SpR:648.0,19763.0')] ).

cnf(29351,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(g,a))),compose(compose(codomain(u),h),compose(g,a))),compose(compose(codomain(u),h),compose(g,a))),compose(compose(codomain(u),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,19763]),
    [iquote('0:SpR:519.0,19763.0')] ).

cnf(29180,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,domain__dfg(u))),compose(compose(compose(h,a),h),domain__dfg(u))),compose(compose(compose(h,a),h),domain__dfg(u))),compose(compose(compose(h,a),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,19772]),
    [iquote('0:SpR:284.0,19772.0')] ).

cnf(24393,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(g,compose(codomain(u),compose(g,a))),compose(compose(g,codomain(u)),compose(g,a))),compose(compose(g,codomain(u)),compose(g,a))),compose(compose(g,codomain(u)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4864]),
    [iquote('0:SpR:519.0,4864.0')] ).

cnf(29182,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,domain__dfg(u))),compose(compose(compose(g,a),h),domain__dfg(u))),compose(compose(compose(g,a),h),domain__dfg(u))),compose(compose(compose(g,a),h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,19772]),
    [iquote('0:SpR:285.0,19772.0')] ).

cnf(29183,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),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)],[500,19772]),
    [iquote('0:SpR:500.0,19772.0')] ).

cnf(24906,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),codomain(u))),compose(compose(h,compose(h,a)),codomain(u))),compose(compose(h,compose(h,a)),codomain(u))),compose(compose(h,compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,24879]),
    [iquote('0:Rew:648.0,24879.0')] ).

cnf(24905,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),codomain(u))),compose(compose(h,compose(g,a)),codomain(u))),compose(compose(h,compose(g,a)),codomain(u))),compose(compose(h,compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,24881]),
    [iquote('0:Rew:519.0,24881.0')] ).

cnf(24662,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),codomain(u))),compose(compose(a,compose(h,a)),codomain(u))),compose(compose(a,compose(h,a)),codomain(u))),compose(compose(a,compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,24637]),
    [iquote('0:Rew:648.0,24637.0')] ).

cnf(24661,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),codomain(u))),compose(compose(a,compose(g,a)),codomain(u))),compose(compose(a,compose(g,a)),codomain(u))),compose(compose(a,compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,24639]),
    [iquote('0:Rew:519.0,24639.0')] ).

cnf(24660,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)],[133,24640]),
    [iquote('0:Rew:133.0,24640.0')] ).

cnf(24565,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),domain__dfg(u))),compose(compose(a,compose(h,a)),domain__dfg(u))),compose(compose(a,compose(h,a)),domain__dfg(u))),compose(compose(a,compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,24540]),
    [iquote('0:Rew:648.0,24540.0')] ).

cnf(24564,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),domain__dfg(u))),compose(compose(a,compose(g,a)),domain__dfg(u))),compose(compose(a,compose(g,a)),domain__dfg(u))),compose(compose(a,compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,24542]),
    [iquote('0:Rew:519.0,24542.0')] ).

cnf(24563,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)],[133,24543]),
    [iquote('0:Rew:133.0,24543.0')] ).

cnf(24332,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),codomain(u))),compose(compose(g,compose(h,a)),codomain(u))),compose(compose(g,compose(h,a)),codomain(u))),compose(compose(g,compose(h,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[648,24307]),
    [iquote('0:Rew:648.0,24307.0')] ).

cnf(24331,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),codomain(u))),compose(compose(g,compose(g,a)),codomain(u))),compose(compose(g,compose(g,a)),codomain(u))),compose(compose(g,compose(g,a)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[519,24309]),
    [iquote('0:Rew:519.0,24309.0')] ).

cnf(24233,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),domain__dfg(u))),compose(compose(g,compose(h,a)),domain__dfg(u))),compose(compose(g,compose(h,a)),domain__dfg(u))),compose(compose(g,compose(h,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,24204]),
    [iquote('0:Rew:648.0,24204.0')] ).

cnf(24131,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(h,a))),compose(compose(domain__dfg(u),h),compose(h,a))),compose(compose(domain__dfg(u),h),compose(h,a))),compose(compose(domain__dfg(u),h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5656]),
    [iquote('0:SpR:648.0,5656.0')] ).

cnf(24232,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),domain__dfg(u))),compose(compose(g,compose(g,a)),domain__dfg(u))),compose(compose(g,compose(g,a)),domain__dfg(u))),compose(compose(g,compose(g,a)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,24206]),
    [iquote('0:Rew:519.0,24206.0')] ).

cnf(24132,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(g,a))),compose(compose(domain__dfg(u),h),compose(g,a))),compose(compose(domain__dfg(u),h),compose(g,a))),compose(compose(domain__dfg(u),h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5656]),
    [iquote('0:SpR:519.0,5656.0')] ).

cnf(24062,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,codomain(u))),compose(compose(compose(h,a),h),codomain(u))),compose(compose(compose(h,a),h),codomain(u))),compose(compose(compose(h,a),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,5440]),
    [iquote('0:SpR:284.0,5440.0')] ).

cnf(24064,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,codomain(u))),compose(compose(compose(g,a),h),codomain(u))),compose(compose(compose(g,a),h),codomain(u))),compose(compose(compose(g,a),h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,5440]),
    [iquote('0:SpR:285.0,5440.0')] ).

cnf(24065,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(b),domain__dfg(h),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)],[500,5440]),
    [iquote('0:SpR:500.0,5440.0')] ).

cnf(23934,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)],[133,4616]),
    [iquote('0:SpR:133.0,4616.0')] ).

cnf(23936,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,compose(h,a))),compose(compose(domain__dfg(u),a),compose(h,a))),compose(compose(domain__dfg(u),a),compose(h,a))),compose(compose(domain__dfg(u),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4616]),
    [iquote('0:SpR:648.0,4616.0')] ).

cnf(23937,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,compose(g,a))),compose(compose(domain__dfg(u),a),compose(g,a))),compose(compose(domain__dfg(u),a),compose(g,a))),compose(compose(domain__dfg(u),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4616]),
    [iquote('0:SpR:519.0,4616.0')] ).

cnf(23707,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)],[133,4617]),
    [iquote('0:SpR:133.0,4617.0')] ).

cnf(23709,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,compose(h,a))),compose(compose(codomain(u),a),compose(h,a))),compose(compose(codomain(u),a),compose(h,a))),compose(compose(codomain(u),a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4617]),
    [iquote('0:SpR:648.0,4617.0')] ).

cnf(23710,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,compose(g,a))),compose(compose(codomain(u),a),compose(g,a))),compose(compose(codomain(u),a),compose(g,a))),compose(compose(codomain(u),a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4617]),
    [iquote('0:SpR:519.0,4617.0')] ).

cnf(23481,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,codomain(u))),compose(compose(compose(h,a),a),codomain(u))),compose(compose(compose(h,a),a),codomain(u))),compose(compose(compose(h,a),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,4625]),
    [iquote('0:SpR:284.0,4625.0')] ).

cnf(23483,plain,
    equal(ifeq(domain__dfg(b),codomain(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,codomain(u))),compose(compose(compose(g,a),a),codomain(u))),compose(compose(compose(g,a),a),codomain(u))),compose(compose(compose(g,a),a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,4625]),
    [iquote('0:SpR:285.0,4625.0')] ).

cnf(23484,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)],[500,4625]),
    [iquote('0:SpR:500.0,4625.0')] ).

cnf(23248,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,domain__dfg(u))),compose(compose(compose(h,a),a),domain__dfg(u))),compose(compose(compose(h,a),a),domain__dfg(u))),compose(compose(compose(h,a),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,4626]),
    [iquote('0:SpR:284.0,4626.0')] ).

cnf(23250,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,domain__dfg(u))),compose(compose(compose(g,a),a),domain__dfg(u))),compose(compose(compose(g,a),a),domain__dfg(u))),compose(compose(compose(g,a),a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,4626]),
    [iquote('0:SpR:285.0,4626.0')] ).

cnf(23251,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)],[500,4626]),
    [iquote('0:SpR:500.0,4626.0')] ).

cnf(23021,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,compose(h,a))),compose(compose(domain__dfg(u),g),compose(h,a))),compose(compose(domain__dfg(u),g),compose(h,a))),compose(compose(domain__dfg(u),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4443]),
    [iquote('0:SpR:648.0,4443.0')] ).

cnf(23022,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,compose(g,a))),compose(compose(domain__dfg(u),g),compose(g,a))),compose(compose(domain__dfg(u),g),compose(g,a))),compose(compose(domain__dfg(u),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4443]),
    [iquote('0:SpR:519.0,4443.0')] ).

cnf(22799,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,compose(h,a))),compose(compose(codomain(u),g),compose(h,a))),compose(compose(codomain(u),g),compose(h,a))),compose(compose(codomain(u),g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4444]),
    [iquote('0:SpR:648.0,4444.0')] ).

cnf(22800,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,compose(g,a))),compose(compose(codomain(u),g),compose(g,a))),compose(compose(codomain(u),g),compose(g,a))),compose(compose(codomain(u),g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4444]),
    [iquote('0:SpR:519.0,4444.0')] ).

cnf(22636,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,codomain(u))),compose(compose(compose(h,a),g),codomain(u))),compose(compose(compose(h,a),g),codomain(u))),compose(compose(compose(h,a),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,4452]),
    [iquote('0:SpR:284.0,4452.0')] ).

cnf(22638,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,codomain(u))),compose(compose(compose(g,a),g),codomain(u))),compose(compose(compose(g,a),g),codomain(u))),compose(compose(compose(g,a),g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,4452]),
    [iquote('0:SpR:285.0,4452.0')] ).

cnf(22639,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(b),domain__dfg(h),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)],[500,4452]),
    [iquote('0:SpR:500.0,4452.0')] ).

cnf(22432,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,domain__dfg(u))),compose(compose(compose(h,a),g),domain__dfg(u))),compose(compose(compose(h,a),g),domain__dfg(u))),compose(compose(compose(h,a),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,4453]),
    [iquote('0:SpR:284.0,4453.0')] ).

cnf(22434,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,domain__dfg(u))),compose(compose(compose(g,a),g),domain__dfg(u))),compose(compose(compose(g,a),g),domain__dfg(u))),compose(compose(compose(g,a),g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,4453]),
    [iquote('0:SpR:285.0,4453.0')] ).

cnf(22464,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,8200]),
    [iquote('0:SpR:500.0,8200.0')] ).

cnf(22391,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(compose(a,b),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)],[500,536]),
    [iquote('0:SpR:500.0,536.0')] ).

cnf(22372,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(compose(a,b),a),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)],[500,538]),
    [iquote('0:SpR:500.0,538.0')] ).

cnf(22353,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,452]),
    [iquote('0:SpR:500.0,452.0')] ).

cnf(22435,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),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)],[500,4453]),
    [iquote('0:SpR:500.0,4453.0')] ).

cnf(22334,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,335]),
    [iquote('0:SpR:500.0,335.0')] ).

cnf(22300,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,318]),
    [iquote('0:SpR:500.0,318.0')] ).

cnf(10711,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,3769]),
    [iquote('0:SpR:501.0,3769.0')] ).

cnf(10686,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(a,a),a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2722]),
    [iquote('0:SpR:501.0,2722.0')] ).

cnf(10668,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(a,a),compose(compose(h,compose(a,b)),a),a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2668]),
    [iquote('0:SpR:501.0,2668.0')] ).

cnf(10649,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(a,b),a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2624]),
    [iquote('0:SpR:501.0,2624.0')] ).

cnf(10627,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(a,b),compose(compose(h,compose(a,b)),b),a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2531]),
    [iquote('0:SpR:501.0,2531.0')] ).

cnf(26386,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)],[23,26346]),
    [iquote('0:Rew:23.0,26346.0')] ).

cnf(26385,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)],[3,26347]),
    [iquote('0:Rew:3.0,26347.0')] ).

cnf(26140,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)],[23,26121]),
    [iquote('0:Rew:23.0,26121.0')] ).

cnf(26139,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)],[3,26122]),
    [iquote('0:Rew:3.0,26122.0')] ).

cnf(4175,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(h,a),u)),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,codomain(compose(compose(h,a),u)))),compose(compose(h,a),u)),compose(compose(h,a),u)),compose(compose(h,a),u)),
    inference(spr,[status(thm),theory(equality)],[284,454]),
    [iquote('0:SpR:284.0,454.0')] ).

cnf(4177,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(g,a),u)),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,codomain(compose(compose(g,a),u)))),compose(compose(g,a),u)),compose(compose(g,a),u)),compose(compose(g,a),u)),
    inference(spr,[status(thm),theory(equality)],[285,454]),
    [iquote('0:SpR:285.0,454.0')] ).

cnf(4178,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)],[500,454]),
    [iquote('0:SpR:500.0,454.0')] ).

cnf(6245,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(compose(u,compose(h,compose(a,b)))),domain__dfg(u),compose(u,compose(h,compose(a,b))),compose(compose(domain__dfg(compose(u,compose(h,compose(a,b)))),u),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(u,compose(h,compose(a,b)))),u),compose(h,compose(a,b)))),compose(compose(domain__dfg(compose(u,compose(h,compose(a,b)))),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,479]),
    [iquote('0:SpR:205.0,479.0')] ).

cnf(4291,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(u,compose(h,a))),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),codomain(compose(u,compose(h,a))))),compose(u,compose(h,a))),compose(u,compose(h,a))),compose(u,compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,4210]),
    [iquote('0:Rew:648.0,4210.0')] ).

cnf(4290,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(u,compose(g,a))),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),codomain(compose(u,compose(g,a))))),compose(u,compose(g,a))),compose(u,compose(g,a))),compose(u,compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,4212]),
    [iquote('0:Rew:519.0,4212.0')] ).

cnf(4289,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)],[133,4213]),
    [iquote('0:Rew:133.0,4213.0')] ).

cnf(18803,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(a,compose(h,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),codomain(compose(a,compose(h,a))))),compose(a,compose(h,a))),compose(a,compose(h,a))),compose(a,compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,18778]),
    [iquote('0:Rew:648.0,18778.0')] ).

cnf(6368,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(compose(compose(h,compose(a,b)),u)),domain__dfg(h),compose(compose(h,compose(a,b)),u),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),u)),compose(h,compose(a,b))),u)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),u)),compose(h,compose(a,b))),u)),compose(compose(domain__dfg(compose(compose(h,compose(a,b)),u)),compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,6254]),
    [iquote('0:Rew:205.0,6254.0')] ).

cnf(18802,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(a,compose(g,a))),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),codomain(compose(a,compose(g,a))))),compose(a,compose(g,a))),compose(a,compose(g,a))),compose(a,compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,18780]),
    [iquote('0:Rew:519.0,18780.0')] ).

cnf(18801,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)],[133,18781]),
    [iquote('0:Rew:133.0,18781.0')] ).

cnf(18746,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(h,compose(h,a))),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),codomain(compose(h,compose(h,a))))),compose(h,compose(h,a))),compose(h,compose(h,a))),compose(h,compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,18718]),
    [iquote('0:Rew:648.0,18718.0')] ).

cnf(18745,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(h,compose(g,a))),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),codomain(compose(h,compose(g,a))))),compose(h,compose(g,a))),compose(h,compose(g,a))),compose(h,compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,18720]),
    [iquote('0:Rew:519.0,18720.0')] ).

cnf(6121,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(rew,[status(thm),theory(equality)],[2,6038]),
    [iquote('0:Rew:2.0,6038.0')] ).

cnf(18680,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(g,compose(h,a))),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),codomain(compose(g,compose(h,a))))),compose(g,compose(h,a))),compose(g,compose(h,a))),compose(g,compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[648,18654]),
    [iquote('0:Rew:648.0,18654.0')] ).

cnf(18679,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(g,compose(g,a))),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),codomain(compose(g,compose(g,a))))),compose(g,compose(g,a))),compose(g,compose(g,a))),compose(g,compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[519,18656]),
    [iquote('0:Rew:519.0,18656.0')] ).

cnf(18605,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(h,a),a)),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,codomain(compose(compose(h,a),a)))),compose(compose(h,a),a)),compose(compose(h,a),a)),compose(compose(h,a),a)),
    inference(spr,[status(thm),theory(equality)],[284,4207]),
    [iquote('0:SpR:284.0,4207.0')] ).

cnf(18607,plain,
    equal(ifeq(domain__dfg(b),codomain(compose(compose(g,a),a)),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,codomain(compose(compose(g,a),a)))),compose(compose(g,a),a)),compose(compose(g,a),a)),compose(compose(g,a),a)),
    inference(spr,[status(thm),theory(equality)],[285,4207]),
    [iquote('0:SpR:285.0,4207.0')] ).

cnf(5954,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)],[2,5921]),
    [iquote('0:Rew:2.0,5921.0')] ).

cnf(18608,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)],[500,4207]),
    [iquote('0:SpR:500.0,4207.0')] ).

cnf(18581,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(h,a),h)),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,codomain(compose(compose(h,a),h)))),compose(compose(h,a),h)),compose(compose(h,a),h)),compose(compose(h,a),h)),
    inference(spr,[status(thm),theory(equality)],[284,4215]),
    [iquote('0:SpR:284.0,4215.0')] ).

cnf(18583,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(g,a),h)),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,codomain(compose(compose(g,a),h)))),compose(compose(g,a),h)),compose(compose(g,a),h)),compose(compose(g,a),h)),
    inference(spr,[status(thm),theory(equality)],[285,4215]),
    [iquote('0:SpR:285.0,4215.0')] ).

cnf(18584,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(a,b),h)),ifeq(codomain(b),domain__dfg(h),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)],[500,4215]),
    [iquote('0:SpR:500.0,4215.0')] ).

cnf(6052,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,compose(a,b))),compose(compose(compose(h,compose(a,b)),u),compose(a,b))),compose(compose(compose(h,compose(a,b)),u),compose(a,b))),compose(compose(compose(h,compose(a,b)),u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,422]),
    [iquote('0:SpR:501.0,422.0')] ).

cnf(18496,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(h,a),g)),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,codomain(compose(compose(h,a),g)))),compose(compose(h,a),g)),compose(compose(h,a),g)),compose(compose(h,a),g)),
    inference(spr,[status(thm),theory(equality)],[284,4247]),
    [iquote('0:SpR:284.0,4247.0')] ).

cnf(18498,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(g,a),g)),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,codomain(compose(compose(g,a),g)))),compose(compose(g,a),g)),compose(compose(g,a),g)),compose(compose(g,a),g)),
    inference(spr,[status(thm),theory(equality)],[285,4247]),
    [iquote('0:SpR:285.0,4247.0')] ).

cnf(18499,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(compose(a,b),g)),ifeq(codomain(b),domain__dfg(h),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)],[500,4247]),
    [iquote('0:SpR:500.0,4247.0')] ).

cnf(18475,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(codomain(b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[501,1986]),
    [iquote('0:SpR:501.0,1986.0')] ).

cnf(6123,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(u,compose(h,compose(a,b))),compose(a,b))),compose(compose(u,compose(h,compose(a,b))),compose(a,b))),compose(compose(u,compose(h,compose(a,b))),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[205,6062]),
    [iquote('0:Rew:205.0,6062.0')] ).

cnf(18453,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,18432]),
    [iquote('0:Rew:205.0,18432.0')] ).

cnf(10234,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),b,domain__dfg(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2638]),
    [iquote('0:SpR:501.0,2638.0')] ).

cnf(10215,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(b,compose(compose(h,compose(a,b)),b),domain__dfg(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2545]),
    [iquote('0:SpR:501.0,2545.0')] ).

cnf(21912,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(compose(h,compose(a,b)),a),v,compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,309]),
    [iquote('0:SpR:501.0,309.0')] ).

cnf(5926,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(compose(a,b),u)),compose(compose(compose(h,compose(a,b)),compose(a,b)),u)),compose(compose(compose(h,compose(a,b)),compose(a,b)),u)),compose(compose(compose(h,compose(a,b)),compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[501,514]),
    [iquote('0:SpR:501.0,514.0')] ).

cnf(21821,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(compose(h,compose(a,b)),b),v,compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,250]),
    [iquote('0:SpR:501.0,250.0')] ).

cnf(17109,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),v,ifeq(compose(codomain(u),a),v,codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,316]),
    [iquote('0:SpR:500.0,316.0')] ).

cnf(16974,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),v,ifeq(compose(codomain(u),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)],[500,256]),
    [iquote('0:SpR:500.0,256.0')] ).

cnf(3925,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),v,ifeq(compose(domain__dfg(u),a),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)],[500,315]),
    [iquote('0:SpR:500.0,315.0')] ).

cnf(5935,plain,
    equal(ifeq(codomain(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(u,compose(a,b)),compose(h,compose(a,b)))),compose(compose(u,compose(a,b)),compose(h,compose(a,b)))),compose(compose(u,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,514]),
    [iquote('0:SpR:205.0,514.0')] ).

cnf(3798,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),v,ifeq(compose(domain__dfg(u),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)],[500,255]),
    [iquote('0:SpR:500.0,255.0')] ).

cnf(9760,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(h,a),u,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,322]),
    [iquote('0:SpR:501.0,322.0')] ).

cnf(9648,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(h,b),u,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,261]),
    [iquote('0:SpR:501.0,261.0')] ).

cnf(19612,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2726]),
    [iquote('0:SpR:500.0,2726.0')] ).

cnf(4176,plain,
    equal(ifeq(codomain(u),codomain(compose(compose(h,compose(a,b)),u)),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,codomain(compose(compose(h,compose(a,b)),u)))),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(spr,[status(thm),theory(equality)],[501,454]),
    [iquote('0:SpR:501.0,454.0')] ).

cnf(19477,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(a,b),a),compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2672]),
    [iquote('0:SpR:500.0,2672.0')] ).

cnf(19351,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2628]),
    [iquote('0:SpR:500.0,2628.0')] ).

cnf(19212,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(compose(a,b),b),compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2535]),
    [iquote('0:SpR:500.0,2535.0')] ).

cnf(6249,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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(spr,[status(thm),theory(equality)],[204,479]),
    [iquote('0:SpR:204.0,479.0')] ).

cnf(4320,plain,
    equal(ifeq(codomain(b),codomain(compose(u,compose(h,compose(a,b)))),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,compose(a,b)),codomain(compose(u,compose(h,compose(a,b)))))),compose(u,compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[205,4211]),
    [iquote('0:Rew:205.0,4211.0')] ).

cnf(22106,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(h,g)),domain__dfg(h),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)],[2,22094]),
    [iquote('0:Rew:2.0,22094.0')] ).

cnf(22053,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(compose(a,g)),domain__dfg(a),compose(a,g),compose(compose(domain__dfg(compose(a,g)),a),g)),compose(compose(domain__dfg(compose(a,g)),a),g)),compose(compose(domain__dfg(compose(a,g)),a),g)),
    inference(rew,[status(thm),theory(equality)],[2,22039]),
    [iquote('0:Rew:2.0,22039.0')] ).

cnf(22035,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(compose(g,g)),domain__dfg(h),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)],[2,22021]),
    [iquote('0:Rew:2.0,22021.0')] ).

cnf(25753,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)],[3,25729]),
    [iquote('0:Rew:3.0,25729.0')] ).

cnf(3923,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,315]),
    [iquote('0:SpR:501.0,315.0')] ).

cnf(25606,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)],[3,25573]),
    [iquote('0:Rew:3.0,25573.0')] ).

cnf(25557,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)],[25,421]),
    [iquote('0:SpR:25.0,421.0')] ).

cnf(29867,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[3,29852]),
    [iquote('0:Rew:3.0,29852.0')] ).

cnf(29611,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),domain__dfg(v))),compose(compose(h,codomain(u)),domain__dfg(v))),compose(compose(h,codomain(u)),domain__dfg(v))),compose(compose(h,codomain(u)),domain__dfg(v))),
    inference(rew,[status(thm),theory(equality)],[3,29590]),
    [iquote('0:Rew:3.0,29590.0')] ).

cnf(3796,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,255]),
    [iquote('0:SpR:501.0,255.0')] ).

cnf(29506,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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(spr,[status(thm),theory(equality)],[25,5834]),
    [iquote('0:SpR:25.0,5834.0')] ).

cnf(29278,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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(spr,[status(thm),theory(equality)],[204,5687]),
    [iquote('0:SpR:204.0,5687.0')] ).

cnf(28986,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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(spr,[status(thm),theory(equality)],[204,5686]),
    [iquote('0:SpR:204.0,5686.0')] ).

cnf(24961,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),domain__dfg(v))),compose(compose(h,domain__dfg(u)),domain__dfg(v))),compose(compose(h,domain__dfg(u)),domain__dfg(v))),compose(compose(h,domain__dfg(u)),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[23,5825]),
    [iquote('0:SpR:23.0,5825.0')] ).

cnf(5821,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(domain__dfg(u),v)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),v)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),v)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[501,468]),
    [iquote('0:SpR:501.0,468.0')] ).

cnf(24899,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),codomain(v))),compose(compose(h,domain__dfg(u)),codomain(v))),compose(compose(h,domain__dfg(u)),codomain(v))),compose(compose(h,domain__dfg(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[23,24877]),
    [iquote('0:Rew:23.0,24877.0')] ).

cnf(24898,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),codomain(v))),compose(compose(h,codomain(u)),codomain(v))),compose(compose(h,codomain(u)),codomain(v))),compose(compose(h,codomain(u)),codomain(v))),
    inference(rew,[status(thm),theory(equality)],[3,24878]),
    [iquote('0:Rew:3.0,24878.0')] ).

cnf(24655,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)],[23,24635]),
    [iquote('0:Rew:23.0,24635.0')] ).

cnf(24654,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)],[3,24636]),
    [iquote('0:Rew:3.0,24636.0')] ).

cnf(5830,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(domain__dfg(u),compose(h,compose(a,b)))),compose(compose(v,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(v,domain__dfg(u)),compose(h,compose(a,b)))),compose(compose(v,domain__dfg(u)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,468]),
    [iquote('0:SpR:205.0,468.0')] ).

cnf(24557,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)],[23,24538]),
    [iquote('0:Rew:23.0,24538.0')] ).

cnf(24556,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)],[3,24539]),
    [iquote('0:Rew:3.0,24539.0')] ).

cnf(24325,plain,
    equal(ifeq(domain__dfg(u),codomain(v),ifeq(domain__dfg(a),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)],[23,24305]),
    [iquote('0:Rew:23.0,24305.0')] ).

cnf(24324,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(a),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)],[3,24306]),
    [iquote('0:Rew:3.0,24306.0')] ).

cnf(5643,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(v),domain__dfg(u),compose(domain__dfg(v),compose(u,compose(h,compose(a,b)))),compose(compose(domain__dfg(v),u),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),u),compose(h,compose(a,b)))),compose(compose(domain__dfg(v),u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,413]),
    [iquote('0:SpR:205.0,413.0')] ).

cnf(24225,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(a),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(rew,[status(thm),theory(equality)],[23,24202]),
    [iquote('0:Rew:23.0,24202.0')] ).

cnf(24224,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),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)],[3,24203]),
    [iquote('0:Rew:3.0,24203.0')] ).

cnf(681,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,compose(h,a))),compose(compose(v,u),compose(h,a))),compose(compose(v,u),compose(h,a))),compose(compose(v,u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,8]),
    [iquote('0:SpR:648.0,8.0')] ).

cnf(560,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,compose(g,a))),compose(compose(v,u),compose(g,a))),compose(compose(v,u),compose(g,a))),compose(compose(v,u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,8]),
    [iquote('0:SpR:519.0,8.0')] ).

cnf(5416,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,codomain(v))),compose(compose(compose(h,compose(a,b)),u),codomain(v))),compose(compose(compose(h,compose(a,b)),u),codomain(v))),compose(compose(compose(h,compose(a,b)),u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[501,420]),
    [iquote('0:SpR:501.0,420.0')] ).

cnf(545,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)],[500,8]),
    [iquote('0:SpR:500.0,8.0')] ).

cnf(416,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,v)),compose(compose(compose(h,a),u),v)),compose(compose(compose(h,a),u),v)),compose(compose(compose(h,a),u),v)),
    inference(spr,[status(thm),theory(equality)],[284,8]),
    [iquote('0:SpR:284.0,8.0')] ).

cnf(417,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,v)),compose(compose(compose(g,a),u),v)),compose(compose(compose(g,a),u),v)),compose(compose(compose(g,a),u),v)),
    inference(spr,[status(thm),theory(equality)],[285,8]),
    [iquote('0:SpR:285.0,8.0')] ).

cnf(29179,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[25,19772]),
    [iquote('0:SpR:25.0,19772.0')] ).

cnf(5713,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),compose(domain__dfg(v),compose(compose(h,compose(a,b)),u)),compose(compose(domain__dfg(v),compose(h,compose(a,b))),u)),compose(compose(domain__dfg(v),compose(h,compose(a,b))),u)),compose(compose(domain__dfg(v),compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,5652]),
    [iquote('0:Rew:205.0,5652.0')] ).

cnf(24128,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),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)],[23,5656]),
    [iquote('0:SpR:23.0,5656.0')] ).

cnf(24060,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(v),domain__dfg(h),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)],[2,5440]),
    [iquote('0:SpR:2.0,5440.0')] ).

cnf(24061,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(v),domain__dfg(h),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)],[25,5440]),
    [iquote('0:SpR:25.0,5440.0')] ).

cnf(23479,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)],[2,4625]),
    [iquote('0:SpR:2.0,4625.0')] ).

cnf(5503,plain,
    equal(ifeq(codomain(b),codomain(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,compose(a,b)),codomain(u))),compose(compose(v,compose(h,compose(a,b))),codomain(u))),compose(compose(v,compose(h,compose(a,b))),codomain(u))),compose(compose(v,compose(h,compose(a,b))),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[205,5436]),
    [iquote('0:Rew:205.0,5436.0')] ).

cnf(23480,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)],[25,4625]),
    [iquote('0:SpR:25.0,4625.0')] ).

cnf(23246,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)],[2,4626]),
    [iquote('0:SpR:2.0,4626.0')] ).

cnf(23247,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)],[25,4626]),
    [iquote('0:SpR:25.0,4626.0')] ).

cnf(22634,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(v),domain__dfg(h),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)],[2,4452]),
    [iquote('0:SpR:2.0,4452.0')] ).

cnf(512,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),v,ifeq(compose(u,a),v,u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[500,310]),
    [iquote('0:Rew:500.0,310.0')] ).

cnf(22635,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(v),domain__dfg(h),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)],[25,4452]),
    [iquote('0:SpR:25.0,4452.0')] ).

cnf(22430,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),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)],[2,4453]),
    [iquote('0:SpR:2.0,4453.0')] ).

cnf(22431,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[25,4453]),
    [iquote('0:SpR:25.0,4453.0')] ).

cnf(661,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,a),u)),compose(compose(v,compose(h,a)),u)),compose(compose(v,compose(h,a)),u)),compose(compose(v,compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,429]),
    [iquote('0:Rew:648.0,429.0')] ).

cnf(509,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),v,ifeq(compose(u,b),v,u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[500,251]),
    [iquote('0:Rew:500.0,251.0')] ).

cnf(522,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(g,a),u)),compose(compose(v,compose(g,a)),u)),compose(compose(v,compose(g,a)),u)),compose(compose(v,compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,430]),
    [iquote('0:Rew:519.0,430.0')] ).

cnf(22525,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(u,g)),compose(compose(compose(h,a),u),g)),compose(compose(compose(h,a),u),g)),compose(compose(compose(h,a),u),g)),
    inference(spr,[status(thm),theory(equality)],[284,424]),
    [iquote('0:SpR:284.0,424.0')] ).

cnf(22527,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(u,g)),compose(compose(compose(g,a),u),g)),compose(compose(compose(g,a),u),g)),compose(compose(compose(g,a),u),g)),
    inference(spr,[status(thm),theory(equality)],[285,424]),
    [iquote('0:SpR:285.0,424.0')] ).

cnf(22528,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[500,424]),
    [iquote('0:SpR:500.0,424.0')] ).

cnf(3663,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(a,a),u,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,314]),
    [iquote('0:SpR:501.0,314.0')] ).

cnf(19915,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,compose(h,a))),compose(compose(h,u),compose(h,a))),compose(compose(h,u),compose(h,a))),compose(compose(h,u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,418]),
    [iquote('0:SpR:648.0,418.0')] ).

cnf(19916,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,compose(g,a))),compose(compose(h,u),compose(g,a))),compose(compose(h,u),compose(g,a))),compose(compose(h,u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,418]),
    [iquote('0:SpR:519.0,418.0')] ).

cnf(4996,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,compose(h,a))),compose(compose(a,u),compose(h,a))),compose(compose(a,u),compose(h,a))),compose(compose(a,u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,412]),
    [iquote('0:SpR:648.0,412.0')] ).

cnf(4997,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,compose(g,a))),compose(compose(a,u),compose(g,a))),compose(compose(a,u),compose(g,a))),compose(compose(a,u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,412]),
    [iquote('0:SpR:519.0,412.0')] ).

cnf(3470,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(a,b),u,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,254]),
    [iquote('0:SpR:501.0,254.0')] ).

cnf(4829,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(u,compose(h,a))),compose(compose(g,u),compose(h,a))),compose(compose(g,u),compose(h,a))),compose(compose(g,u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,419]),
    [iquote('0:SpR:648.0,419.0')] ).

cnf(4830,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(u,compose(g,a))),compose(compose(g,u),compose(g,a))),compose(compose(g,u),compose(g,a))),compose(compose(g,u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,419]),
    [iquote('0:SpR:519.0,419.0')] ).

cnf(22578,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(h,a),g)),compose(compose(u,compose(h,a)),g)),compose(compose(u,compose(h,a)),g)),compose(compose(u,compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,22534]),
    [iquote('0:Rew:648.0,22534.0')] ).

cnf(22577,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(compose(g,a),g)),compose(compose(u,compose(g,a)),g)),compose(compose(u,compose(g,a)),g)),compose(compose(u,compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,22536]),
    [iquote('0:Rew:519.0,22536.0')] ).

cnf(2911,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(b,u,domain__dfg(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,263]),
    [iquote('0:SpR:501.0,263.0')] ).

cnf(19959,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),u)),compose(compose(h,compose(h,a)),u)),compose(compose(h,compose(h,a)),u)),compose(compose(h,compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,19921]),
    [iquote('0:Rew:648.0,19921.0')] ).

cnf(19958,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),u)),compose(compose(h,compose(g,a)),u)),compose(compose(h,compose(g,a)),u)),compose(compose(h,compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,19923]),
    [iquote('0:Rew:519.0,19923.0')] ).

cnf(19764,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,u)),compose(compose(compose(h,a),h),u)),compose(compose(compose(h,a),h),u)),compose(compose(compose(h,a),h),u)),
    inference(spr,[status(thm),theory(equality)],[284,431]),
    [iquote('0:SpR:284.0,431.0')] ).

cnf(19766,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,u)),compose(compose(compose(g,a),h),u)),compose(compose(compose(g,a),h),u)),compose(compose(compose(g,a),h),u)),
    inference(spr,[status(thm),theory(equality)],[285,431]),
    [iquote('0:SpR:285.0,431.0')] ).

cnf(6309,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)],[3,6252]),
    [iquote('0:Rew:3.0,6252.0')] ).

cnf(19767,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),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)],[500,431]),
    [iquote('0:SpR:500.0,431.0')] ).

cnf(19775,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(h,a))),compose(compose(u,h),compose(h,a))),compose(compose(u,h),compose(h,a))),compose(compose(u,h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,431]),
    [iquote('0:SpR:648.0,431.0')] ).

cnf(19776,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(g,a))),compose(compose(u,h),compose(g,a))),compose(compose(u,h),compose(g,a))),compose(compose(u,h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,431]),
    [iquote('0:SpR:519.0,431.0')] ).

cnf(5939,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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(spr,[status(thm),theory(equality)],[204,514]),
    [iquote('0:SpR:204.0,514.0')] ).

cnf(6243,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)],[23,479]),
    [iquote('0:SpR:23.0,479.0')] ).

cnf(5034,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),u)),compose(compose(a,compose(h,a)),u)),compose(compose(a,compose(h,a)),u)),compose(compose(a,compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,5003]),
    [iquote('0:Rew:648.0,5003.0')] ).

cnf(5033,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),u)),compose(compose(a,compose(g,a)),u)),compose(compose(a,compose(g,a)),u)),compose(compose(a,compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,5005]),
    [iquote('0:Rew:519.0,5005.0')] ).

cnf(5032,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)],[133,5006]),
    [iquote('0:Rew:133.0,5006.0')] ).

cnf(4872,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),u)),compose(compose(g,compose(h,a)),u)),compose(compose(g,compose(h,a)),u)),compose(compose(g,compose(h,a)),u)),
    inference(rew,[status(thm),theory(equality)],[648,4836]),
    [iquote('0:Rew:648.0,4836.0')] ).

cnf(5867,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)],[2,5808]),
    [iquote('0:Rew:2.0,5808.0')] ).

cnf(4871,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),u)),compose(compose(g,compose(g,a)),u)),compose(compose(g,compose(g,a)),u)),compose(compose(g,compose(g,a)),u)),
    inference(rew,[status(thm),theory(equality)],[519,4838]),
    [iquote('0:Rew:519.0,4838.0')] ).

cnf(4618,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,u)),compose(compose(compose(h,a),a),u)),compose(compose(compose(h,a),a),u)),compose(compose(compose(h,a),a),u)),
    inference(spr,[status(thm),theory(equality)],[284,425]),
    [iquote('0:SpR:284.0,425.0')] ).

cnf(4620,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,u)),compose(compose(compose(g,a),a),u)),compose(compose(compose(g,a),a),u)),compose(compose(compose(g,a),a),u)),
    inference(spr,[status(thm),theory(equality)],[285,425]),
    [iquote('0:SpR:285.0,425.0')] ).

cnf(4621,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)],[500,425]),
    [iquote('0:SpR:500.0,425.0')] ).

cnf(5497,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)],[2,5403]),
    [iquote('0:Rew:2.0,5403.0')] ).

cnf(4629,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,compose(h,a))),compose(compose(u,a),compose(h,a))),compose(compose(u,a),compose(h,a))),compose(compose(u,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,425]),
    [iquote('0:SpR:648.0,425.0')] ).

cnf(4630,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,compose(g,a))),compose(compose(u,a),compose(g,a))),compose(compose(u,a),compose(g,a))),compose(compose(u,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,425]),
    [iquote('0:SpR:519.0,425.0')] ).

cnf(4445,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,u)),compose(compose(compose(h,a),g),u)),compose(compose(compose(h,a),g),u)),compose(compose(compose(h,a),g),u)),
    inference(spr,[status(thm),theory(equality)],[284,449]),
    [iquote('0:SpR:284.0,449.0')] ).

cnf(4447,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,u)),compose(compose(compose(g,a),g),u)),compose(compose(compose(g,a),g),u)),compose(compose(compose(g,a),g),u)),
    inference(spr,[status(thm),theory(equality)],[285,449]),
    [iquote('0:SpR:285.0,449.0')] ).

cnf(516,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(u,v)),compose(compose(compose(h,compose(a,b)),u),v)),compose(compose(compose(h,compose(a,b)),u),v)),compose(compose(compose(h,compose(a,b)),u),v)),
    inference(rew,[status(thm),theory(equality)],[500,415]),
    [iquote('0:Rew:500.0,415.0')] ).

cnf(4448,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),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)],[500,449]),
    [iquote('0:SpR:500.0,449.0')] ).

cnf(4456,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,compose(h,a))),compose(compose(u,g),compose(h,a))),compose(compose(u,g),compose(h,a))),compose(compose(u,g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,449]),
    [iquote('0:SpR:648.0,449.0')] ).

cnf(4457,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,compose(g,a))),compose(compose(u,g),compose(g,a))),compose(compose(u,g),compose(g,a))),compose(compose(u,g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,449]),
    [iquote('0:SpR:519.0,449.0')] ).

cnf(541,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),v,ifeq(compose(u,b),v,u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,11]),
    [iquote('0:SpR:500.0,11.0')] ).

cnf(423,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(codomain(v),domain__dfg(u),compose(v,compose(u,compose(h,compose(a,b)))),compose(compose(v,u),compose(h,compose(a,b)))),compose(compose(v,u),compose(h,compose(a,b)))),compose(compose(v,u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,8]),
    [iquote('0:SpR:205.0,8.0')] ).

cnf(542,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),v,ifeq(compose(u,a),v,u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,10]),
    [iquote('0:SpR:500.0,10.0')] ).

cnf(22073,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,8201]),
    [iquote('0:SpR:501.0,8201.0')] ).

cnf(21998,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,453]),
    [iquote('0:SpR:501.0,453.0')] ).

cnf(21970,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(g,a),a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,344]),
    [iquote('0:SpR:501.0,344.0')] ).

cnf(517,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),compose(v,compose(compose(h,compose(a,b)),u)),compose(compose(v,compose(h,compose(a,b))),u)),compose(compose(v,compose(h,compose(a,b))),u)),compose(compose(v,compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[500,487]),
    [iquote('0:Rew:500.0,487.0')] ).

cnf(21943,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,a),a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,326]),
    [iquote('0:SpR:501.0,326.0')] ).

cnf(3665,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(a,a),u,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,314]),
    [iquote('0:SpR:500.0,314.0')] ).

cnf(3472,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(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)],[500,254]),
    [iquote('0:SpR:500.0,254.0')] ).

cnf(22284,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(h,a),g)),compose(compose(h,compose(h,a)),g)),compose(compose(h,compose(h,a)),g)),compose(compose(h,compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,22262]),
    [iquote('0:Rew:648.0,22262.0')] ).

cnf(4995,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(u),compose(a,compose(u,compose(h,compose(a,b)))),compose(compose(a,u),compose(h,compose(a,b)))),compose(compose(a,u),compose(h,compose(a,b)))),compose(compose(a,u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,412]),
    [iquote('0:SpR:205.0,412.0')] ).

cnf(22283,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(compose(g,a),g)),compose(compose(h,compose(g,a)),g)),compose(compose(h,compose(g,a)),g)),compose(compose(h,compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,22264]),
    [iquote('0:Rew:519.0,22264.0')] ).

cnf(22238,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,a),g)),compose(compose(a,compose(h,a)),g)),compose(compose(a,compose(h,a)),g)),compose(compose(a,compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,22218]),
    [iquote('0:Rew:648.0,22218.0')] ).

cnf(22237,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(g,a),g)),compose(compose(a,compose(g,a)),g)),compose(compose(a,compose(g,a)),g)),compose(compose(a,compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,22220]),
    [iquote('0:Rew:519.0,22220.0')] ).

cnf(22236,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[133,22221]),
    [iquote('0:Rew:133.0,22221.0')] ).

cnf(4828,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(u,compose(h,compose(a,b)))),compose(compose(g,u),compose(h,compose(a,b)))),compose(compose(g,u),compose(h,compose(a,b)))),compose(compose(g,u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,419]),
    [iquote('0:SpR:205.0,419.0')] ).

cnf(22192,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,a),g)),compose(compose(g,compose(h,a)),g)),compose(compose(g,compose(h,a)),g)),compose(compose(g,compose(h,a)),g)),
    inference(rew,[status(thm),theory(equality)],[648,22170]),
    [iquote('0:Rew:648.0,22170.0')] ).

cnf(22191,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(g,a),g)),compose(compose(g,compose(g,a)),g)),compose(compose(g,compose(g,a)),g)),compose(compose(g,compose(g,a)),g)),
    inference(rew,[status(thm),theory(equality)],[519,22172]),
    [iquote('0:Rew:519.0,22172.0')] ).

cnf(22120,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(h,a))),compose(compose(h,h),compose(h,a))),compose(compose(h,h),compose(h,a))),compose(compose(h,h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,19768]),
    [iquote('0:SpR:648.0,19768.0')] ).

cnf(22121,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(g,a))),compose(compose(h,h),compose(g,a))),compose(compose(h,h),compose(g,a))),compose(compose(h,h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,19768]),
    [iquote('0:SpR:519.0,19768.0')] ).

cnf(5934,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)],[133,514]),
    [iquote('0:SpR:133.0,514.0')] ).

cnf(22098,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,g)),compose(compose(compose(h,a),h),g)),compose(compose(compose(h,a),h),g)),compose(compose(compose(h,a),h),g)),
    inference(spr,[status(thm),theory(equality)],[284,19777]),
    [iquote('0:SpR:284.0,19777.0')] ).

cnf(22100,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,g)),compose(compose(compose(g,a),h),g)),compose(compose(compose(g,a),h),g)),compose(compose(compose(g,a),h),g)),
    inference(spr,[status(thm),theory(equality)],[285,19777]),
    [iquote('0:SpR:285.0,19777.0')] ).

cnf(22101,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),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)],[500,19777]),
    [iquote('0:SpR:500.0,19777.0')] ).

cnf(22043,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,g)),compose(compose(compose(h,a),a),g)),compose(compose(compose(h,a),a),g)),compose(compose(compose(h,a),a),g)),
    inference(spr,[status(thm),theory(equality)],[284,4632]),
    [iquote('0:SpR:284.0,4632.0')] ).

cnf(5047,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(compose(h,compose(a,b)),u)),compose(compose(a,compose(h,compose(a,b))),u)),compose(compose(a,compose(h,compose(a,b))),u)),compose(compose(a,compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,5004]),
    [iquote('0:Rew:205.0,5004.0')] ).

cnf(22045,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,g)),compose(compose(compose(g,a),a),g)),compose(compose(compose(g,a),a),g)),compose(compose(compose(g,a),a),g)),
    inference(spr,[status(thm),theory(equality)],[285,4632]),
    [iquote('0:SpR:285.0,4632.0')] ).

cnf(22046,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(b),domain__dfg(a),compose(compose(a,b),compose(a,g)),compose(compose(compose(a,b),a),g)),compose(compose(compose(a,b),a),g)),compose(compose(compose(a,b),a),g)),
    inference(spr,[status(thm),theory(equality)],[500,4632]),
    [iquote('0:SpR:500.0,4632.0')] ).

cnf(22025,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,g)),compose(compose(compose(h,a),g),g)),compose(compose(compose(h,a),g),g)),compose(compose(compose(h,a),g),g)),
    inference(spr,[status(thm),theory(equality)],[284,4459]),
    [iquote('0:SpR:284.0,4459.0')] ).

cnf(22027,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,g)),compose(compose(compose(g,a),g),g)),compose(compose(compose(g,a),g),g)),compose(compose(compose(g,a),g),g)),
    inference(spr,[status(thm),theory(equality)],[285,4459]),
    [iquote('0:SpR:285.0,4459.0')] ).

cnf(4887,plain,
    equal(ifeq(codomain(b),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(compose(h,compose(a,b)),u)),compose(compose(g,compose(h,compose(a,b))),u)),compose(compose(g,compose(h,compose(a,b))),u)),compose(compose(g,compose(h,compose(a,b))),u)),
    inference(rew,[status(thm),theory(equality)],[205,4837]),
    [iquote('0:Rew:205.0,4837.0')] ).

cnf(22028,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(b),domain__dfg(h),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)],[500,4459]),
    [iquote('0:SpR:500.0,4459.0')] ).

cnf(19088,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(h,a))),compose(compose(a,h),compose(h,a))),compose(compose(a,h),compose(h,a))),compose(compose(a,h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5008]),
    [iquote('0:SpR:648.0,5008.0')] ).

cnf(19089,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(g,a))),compose(compose(a,h),compose(g,a))),compose(compose(a,h),compose(g,a))),compose(compose(a,h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5008]),
    [iquote('0:SpR:519.0,5008.0')] ).

cnf(18970,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(h,a))),compose(compose(g,h),compose(h,a))),compose(compose(g,h),compose(h,a))),compose(compose(g,h),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4841]),
    [iquote('0:SpR:648.0,4841.0')] ).

cnf(4619,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,u)),compose(compose(compose(h,compose(a,b)),a),u)),compose(compose(compose(h,compose(a,b)),a),u)),compose(compose(compose(h,compose(a,b)),a),u)),
    inference(spr,[status(thm),theory(equality)],[501,425]),
    [iquote('0:SpR:501.0,425.0')] ).

cnf(18971,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(g,a))),compose(compose(g,h),compose(g,a))),compose(compose(g,h),compose(g,a))),compose(compose(g,h),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4841]),
    [iquote('0:SpR:519.0,4841.0')] ).

cnf(18912,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)],[133,4615]),
    [iquote('0:SpR:133.0,4615.0')] ).

cnf(18914,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,compose(h,a))),compose(compose(a,a),compose(h,a))),compose(compose(a,a),compose(h,a))),compose(compose(a,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4615]),
    [iquote('0:SpR:648.0,4615.0')] ).

cnf(18915,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,compose(g,a))),compose(compose(a,a),compose(g,a))),compose(compose(a,a),compose(g,a))),compose(compose(a,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4615]),
    [iquote('0:SpR:519.0,4615.0')] ).

cnf(4628,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,compose(h,compose(a,b)))),compose(compose(u,a),compose(h,compose(a,b)))),compose(compose(u,a),compose(h,compose(a,b)))),compose(compose(u,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,425]),
    [iquote('0:SpR:205.0,425.0')] ).

cnf(18882,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,compose(h,a))),compose(compose(a,g),compose(h,a))),compose(compose(a,g),compose(h,a))),compose(compose(a,g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4442]),
    [iquote('0:SpR:648.0,4442.0')] ).

cnf(18883,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,compose(g,a))),compose(compose(a,g),compose(g,a))),compose(compose(a,g),compose(g,a))),compose(compose(a,g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4442]),
    [iquote('0:SpR:519.0,4442.0')] ).

cnf(18857,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,compose(h,a))),compose(compose(h,g),compose(h,a))),compose(compose(h,g),compose(h,a))),compose(compose(h,g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4450]),
    [iquote('0:SpR:648.0,4450.0')] ).

cnf(18858,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,compose(g,a))),compose(compose(h,g),compose(g,a))),compose(compose(h,g),compose(g,a))),compose(compose(h,g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4450]),
    [iquote('0:SpR:519.0,4450.0')] ).

cnf(4446,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,u)),compose(compose(compose(h,compose(a,b)),g),u)),compose(compose(compose(h,compose(a,b)),g),u)),compose(compose(compose(h,compose(a,b)),g),u)),
    inference(spr,[status(thm),theory(equality)],[501,449]),
    [iquote('0:SpR:501.0,449.0')] ).

cnf(18832,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,compose(h,a))),compose(compose(g,g),compose(h,a))),compose(compose(g,g),compose(h,a))),compose(compose(g,g),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4451]),
    [iquote('0:SpR:648.0,4451.0')] ).

cnf(18833,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,compose(g,a))),compose(compose(g,g),compose(g,a))),compose(compose(g,g),compose(g,a))),compose(compose(g,g),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4451]),
    [iquote('0:SpR:519.0,4451.0')] ).

cnf(17051,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2355]),
    [iquote('0:SpR:205.0,2355.0')] ).

cnf(17027,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2357]),
    [iquote('0:SpR:205.0,2357.0')] ).

cnf(4455,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,compose(h,compose(a,b)))),compose(compose(u,g),compose(h,compose(a,b)))),compose(compose(u,g),compose(h,compose(a,b)))),compose(compose(u,g),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,449]),
    [iquote('0:SpR:205.0,449.0')] ).

cnf(17005,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2358]),
    [iquote('0:SpR:205.0,2358.0')] ).

cnf(16942,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,16905]),
    [iquote('0:Rew:205.0,16905.0')] ).

cnf(16897,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,16860]),
    [iquote('0:Rew:205.0,16860.0')] ).

cnf(16852,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,16820]),
    [iquote('0:Rew:205.0,16820.0')] ).

cnf(6090,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(rew,[status(thm),theory(equality)],[3,6060]),
    [iquote('0:Rew:3.0,6060.0')] ).

cnf(16377,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),b)),compose(compose(compose(h,compose(a,b)),compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[501,8410]),
    [iquote('0:SpR:501.0,8410.0')] ).

cnf(16330,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,a),compose(b,compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,8404]),
    [iquote('0:SpR:205.0,8404.0')] ).

cnf(16122,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,696]),
    [iquote('0:SpR:501.0,696.0')] ).

cnf(16074,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain__dfg(b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[501,662]),
    [iquote('0:SpR:501.0,662.0')] ).

cnf(6050,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)],[25,422]),
    [iquote('0:SpR:25.0,422.0')] ).

cnf(16056,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,619]),
    [iquote('0:SpR:501.0,619.0')] ).

cnf(16033,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b))),
    inference(spr,[status(thm),theory(equality)],[501,608]),
    [iquote('0:SpR:501.0,608.0')] ).

cnf(16012,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain__dfg(b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[501,523]),
    [iquote('0:SpR:501.0,523.0')] ).

cnf(14714,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),h),compose(a,b))),compose(compose(compose(h,compose(a,b)),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,6081]),
    [iquote('0:SpR:501.0,6081.0')] ).

cnf(5829,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)],[133,468]),
    [iquote('0:SpR:133.0,468.0')] ).

cnf(14692,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(h,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,5945]),
    [iquote('0:SpR:205.0,5945.0')] ).

cnf(14629,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),b)),compose(compose(compose(h,compose(a,b)),compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[501,529]),
    [iquote('0:SpR:501.0,529.0')] ).

cnf(14609,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(g,a),compose(b,compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,526]),
    [iquote('0:SpR:205.0,526.0')] ).

cnf(14584,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),domain__dfg(a)),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,484]),
    [iquote('0:SpR:501.0,484.0')] ).

cnf(5642,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)],[133,413]),
    [iquote('0:SpR:133.0,413.0')] ).

cnf(2913,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(b,u,domain__dfg(b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,263]),
    [iquote('0:SpR:500.0,263.0')] ).

cnf(21911,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(compose(h,a),a),v,compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[284,309]),
    [iquote('0:SpR:284.0,309.0')] ).

cnf(21913,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(compose(g,a),a),v,compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[285,309]),
    [iquote('0:SpR:285.0,309.0')] ).

cnf(21914,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(compose(a,b),a),v,compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,309]),
    [iquote('0:SpR:500.0,309.0')] ).

cnf(5924,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(spr,[status(thm),theory(equality)],[25,514]),
    [iquote('0:SpR:25.0,514.0')] ).

cnf(21833,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(h,compose(a,b)),v,compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[8155,21820]),
    [iquote('0:Rew:8155.0,21820.0')] ).

cnf(21832,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(h,compose(a,b)),v,compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[451,21822]),
    [iquote('0:Rew:451.0,21822.0')] ).

cnf(21823,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(compose(a,b),b),v,compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,250]),
    [iquote('0:SpR:500.0,250.0')] ).

cnf(8289,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(h,compose(a,b)),v,compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[8155,5153]),
    [iquote('0:Rew:8155.0,5153.0')] ).

cnf(5933,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(spr,[status(thm),theory(equality)],[23,514]),
    [iquote('0:SpR:23.0,514.0')] ).

cnf(5266,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(compose(h,a),a),v,compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[284,308]),
    [iquote('0:SpR:284.0,308.0')] ).

cnf(5268,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(compose(g,a),a),v,compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[285,308]),
    [iquote('0:SpR:285.0,308.0')] ).

cnf(5269,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(compose(a,b),a),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)],[500,308]),
    [iquote('0:SpR:500.0,308.0')] ).

cnf(5167,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(h,compose(a,b)),v,compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[451,5155]),
    [iquote('0:Rew:451.0,5155.0')] ).

cnf(2717,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(u,a),u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,304]),
    [iquote('0:SpR:501.0,304.0')] ).

cnf(5156,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(compose(a,b),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)],[500,249]),
    [iquote('0:SpR:500.0,249.0')] ).

cnf(17326,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,8217]),
    [iquote('0:SpR:500.0,8217.0')] ).

cnf(17307,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,8215]),
    [iquote('0:SpR:500.0,8215.0')] ).

cnf(17289,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(compose(h,a),a),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2725]),
    [iquote('0:SpR:500.0,2725.0')] ).

cnf(2663,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(u,a),compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,306]),
    [iquote('0:SpR:501.0,306.0')] ).

cnf(17268,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(compose(g,a),a),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2727]),
    [iquote('0:SpR:500.0,2727.0')] ).

cnf(17231,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(compose(a,b),a),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2671]),
    [iquote('0:SpR:500.0,2671.0')] ).

cnf(17214,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(compose(a,b),a),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2673]),
    [iquote('0:SpR:500.0,2673.0')] ).

cnf(17177,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2640]),
    [iquote('0:SpR:500.0,2640.0')] ).

cnf(2619,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(u,b),u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,245]),
    [iquote('0:SpR:501.0,245.0')] ).

cnf(17135,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2547]),
    [iquote('0:SpR:500.0,2547.0')] ).

cnf(18798,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)],[23,18776]),
    [iquote('0:Rew:23.0,18776.0')] ).

cnf(18797,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)],[3,18777]),
    [iquote('0:Rew:3.0,18777.0')] ).

cnf(18739,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(h,domain__dfg(u))),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),codomain(compose(h,domain__dfg(u))))),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[23,18716]),
    [iquote('0:Rew:23.0,18716.0')] ).

cnf(2526,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(u,b),compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,247]),
    [iquote('0:SpR:501.0,247.0')] ).

cnf(18738,plain,
    equal(ifeq(codomain(u),codomain(compose(h,codomain(u))),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),codomain(compose(h,codomain(u))))),compose(h,codomain(u))),compose(h,codomain(u))),compose(h,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,18717]),
    [iquote('0:Rew:3.0,18717.0')] ).

cnf(18675,plain,
    equal(ifeq(domain__dfg(u),codomain(compose(g,domain__dfg(u))),ifeq(domain__dfg(a),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)],[23,18652]),
    [iquote('0:Rew:23.0,18652.0')] ).

cnf(18674,plain,
    equal(ifeq(codomain(u),codomain(compose(g,codomain(u))),ifeq(domain__dfg(a),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)],[3,18653]),
    [iquote('0:Rew:3.0,18653.0')] ).

cnf(18603,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)],[2,4207]),
    [iquote('0:SpR:2.0,4207.0')] ).

cnf(5267,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(compose(h,compose(a,b)),a),v,compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,308]),
    [iquote('0:SpR:501.0,308.0')] ).

cnf(18604,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)],[25,4207]),
    [iquote('0:SpR:25.0,4207.0')] ).

cnf(18579,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(domain__dfg(u),h)),ifeq(domain__dfg(u),domain__dfg(h),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)],[2,4215]),
    [iquote('0:SpR:2.0,4215.0')] ).

cnf(18580,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(codomain(u),h)),ifeq(codomain(u),domain__dfg(h),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)],[25,4215]),
    [iquote('0:SpR:25.0,4215.0')] ).

cnf(18494,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(domain__dfg(u),g)),ifeq(domain__dfg(u),domain__dfg(h),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)],[2,4247]),
    [iquote('0:SpR:2.0,4247.0')] ).

cnf(5154,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(compose(h,compose(a,b)),b),v,compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,249]),
    [iquote('0:SpR:501.0,249.0')] ).

cnf(18495,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(codomain(u),g)),ifeq(codomain(u),domain__dfg(h),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)],[25,4247]),
    [iquote('0:SpR:25.0,4247.0')] ).

cnf(15768,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,2714]),
    [iquote('0:SpR:501.0,2714.0')] ).

cnf(15602,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,2715]),
    [iquote('0:SpR:501.0,2715.0')] ).

cnf(15428,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain__dfg(u),a),compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,2660]),
    [iquote('0:SpR:501.0,2660.0')] ).

cnf(2178,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(compose(g,a),u,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,321]),
    [iquote('0:SpR:501.0,321.0')] ).

cnf(15261,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(u),a),compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,2661]),
    [iquote('0:SpR:501.0,2661.0')] ).

cnf(15176,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,2616]),
    [iquote('0:SpR:501.0,2616.0')] ).

cnf(15103,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,2617]),
    [iquote('0:SpR:501.0,2617.0')] ).

cnf(15022,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain__dfg(u),b),compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,2523]),
    [iquote('0:SpR:501.0,2523.0')] ).

cnf(2139,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),u,ifeq(compose(g,b),u,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,260]),
    [iquote('0:SpR:501.0,260.0')] ).

cnf(14952,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(u),b),compose(h,compose(a,b)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,2524]),
    [iquote('0:SpR:501.0,2524.0')] ).

cnf(12839,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),domain__dfg(u)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u))),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,476]),
    [iquote('0:SpR:501.0,476.0')] ).

cnf(11347,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),codomain(u)),compose(compose(compose(h,compose(a,b)),codomain(u)),codomain(u))),compose(compose(compose(h,compose(a,b)),codomain(u)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,475]),
    [iquote('0:SpR:501.0,475.0')] ).

cnf(11739,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(a,b))),compose(compose(codomain(u),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(codomain(u),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2354]),
    [iquote('0:SpR:205.0,2354.0')] ).

cnf(6258,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(compose(h,u)),domain__dfg(h),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(spr,[status(thm),theory(equality)],[131,479]),
    [iquote('0:SpR:131.0,479.0')] ).

cnf(11431,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(a,b))),compose(compose(codomain(u),compose(h,compose(a,b))),codomain(b))),compose(compose(codomain(u),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,11372]),
    [iquote('0:Rew:205.0,11372.0')] ).

cnf(5718,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),codomain(b))),compose(compose(domain__dfg(u),compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,5608,501,3,205]),
    [iquote('0:Rew:1.0,5608.0,501.0,5608.0,3.0,5608.0,205.0,5608.0')] ).

cnf(5717,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(u),domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(domain__dfg(u),domain__dfg(h)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[1,5592,2,205,23]),
    [iquote('0:Rew:1.0,5592.0,2.0,5592.0,205.0,5592.0,23.0,5592.0')] ).

cnf(12380,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(codomain(b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[501,1987]),
    [iquote('0:SpR:501.0,1987.0')] ).

cnf(4649,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)],[2,4612]),
    [iquote('0:Rew:2.0,4612.0')] ).

cnf(12327,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(codomain(b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[501,1988]),
    [iquote('0:SpR:501.0,1988.0')] ).

cnf(12309,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[205,12288]),
    [iquote('0:Rew:205.0,12288.0')] ).

cnf(12270,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[205,12249]),
    [iquote('0:Rew:205.0,12249.0')] ).

cnf(11610,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,695]),
    [iquote('0:SpR:205.0,695.0')] ).

cnf(4470,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(compose(g,u)),domain__dfg(h),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)],[2,4440]),
    [iquote('0:Rew:2.0,4440.0')] ).

cnf(11502,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,618]),
    [iquote('0:SpR:205.0,618.0')] ).

cnf(11483,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(codomain(b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,607]),
    [iquote('0:SpR:205.0,607.0')] ).

cnf(11465,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(domain__dfg(b),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,472]),
    [iquote('0:SpR:205.0,472.0')] ).

cnf(11444,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(domain__dfg(b),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,471]),
    [iquote('0:SpR:205.0,471.0')] ).

cnf(2031,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),u,ifeq(a,u,domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,324]),
    [iquote('0:SpR:501.0,324.0')] ).

cnf(10776,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(a),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,513]),
    [iquote('0:SpR:205.0,513.0')] ).

cnf(6127,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(domain__dfg(h),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[501,6018,1,2,205]),
    [iquote('0:Rew:501.0,6018.0,1.0,6018.0,2.0,6018.0,205.0,6018.0')] ).

cnf(6117,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(codomain(b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[25,6034,1,501,3]),
    [iquote('0:Rew:25.0,6034.0,1.0,6034.0,501.0,6034.0,3.0,6034.0')] ).

cnf(17105,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),w,ifeq(compose(codomain(u),a),w,codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,316]),
    [iquote('0:SpR:25.0,316.0')] ).

cnf(5819,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)],[25,468]),
    [iquote('0:SpR:25.0,468.0')] ).

cnf(16970,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),w,ifeq(compose(codomain(u),b),w,codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,256]),
    [iquote('0:SpR:25.0,256.0')] ).

cnf(22560,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[3,22533]),
    [iquote('0:Rew:3.0,22533.0')] ).

cnf(22524,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[25,424]),
    [iquote('0:SpR:25.0,424.0')] ).

cnf(19949,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),v)),compose(compose(h,codomain(u)),v)),compose(compose(h,codomain(u)),v)),compose(compose(h,codomain(u)),v)),
    inference(rew,[status(thm),theory(equality)],[3,19920]),
    [iquote('0:Rew:3.0,19920.0')] ).

cnf(5828,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)],[23,468]),
    [iquote('0:SpR:23.0,468.0')] ).

cnf(19912,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,domain__dfg(v))),compose(compose(h,u),domain__dfg(v))),compose(compose(h,u),domain__dfg(v))),compose(compose(h,u),domain__dfg(v))),
    inference(spr,[status(thm),theory(equality)],[23,418]),
    [iquote('0:SpR:23.0,418.0')] ).

cnf(5834,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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(spr,[status(thm),theory(equality)],[204,468]),
    [iquote('0:SpR:204.0,468.0')] ).

cnf(5647,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[204,413]),
    [iquote('0:SpR:204.0,413.0')] ).

cnf(19763,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[25,431]),
    [iquote('0:SpR:25.0,431.0')] ).

cnf(5687,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)],[23,5649]),
    [iquote('0:Rew:23.0,5649.0')] ).

cnf(19772,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[23,431]),
    [iquote('0:SpR:23.0,431.0')] ).

cnf(22279,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),g)),compose(compose(h,domain__dfg(u)),g)),compose(compose(h,domain__dfg(u)),g)),compose(compose(h,domain__dfg(u)),g)),
    inference(rew,[status(thm),theory(equality)],[23,22260]),
    [iquote('0:Rew:23.0,22260.0')] ).

cnf(22278,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),codomain(u),compose(h,compose(codomain(u),g)),compose(compose(h,codomain(u)),g)),compose(compose(h,codomain(u)),g)),compose(compose(h,codomain(u)),g)),
    inference(rew,[status(thm),theory(equality)],[3,22261]),
    [iquote('0:Rew:3.0,22261.0')] ).

cnf(22233,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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)],[23,22216]),
    [iquote('0:Rew:23.0,22216.0')] ).

cnf(5686,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)],[3,5650]),
    [iquote('0:Rew:3.0,5650.0')] ).

cnf(22232,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[3,22217]),
    [iquote('0:Rew:3.0,22217.0')] ).

cnf(22187,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),ifeq(domain__dfg(a),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)],[23,22168]),
    [iquote('0:Rew:23.0,22168.0')] ).

cnf(22186,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),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)],[3,22169]),
    [iquote('0:Rew:3.0,22169.0')] ).

cnf(22116,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,codomain(u))),compose(compose(h,h),codomain(u))),compose(compose(h,h),codomain(u))),compose(compose(h,h),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,19768]),
    [iquote('0:SpR:3.0,19768.0')] ).

cnf(5641,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)],[23,413]),
    [iquote('0:SpR:23.0,413.0')] ).

cnf(22117,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,domain__dfg(u))),compose(compose(h,h),domain__dfg(u))),compose(compose(h,h),domain__dfg(u))),compose(compose(h,h),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,19768]),
    [iquote('0:SpR:23.0,19768.0')] ).

cnf(22096,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),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)],[2,19777]),
    [iquote('0:SpR:2.0,19777.0')] ).

cnf(22097,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),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)],[25,19777]),
    [iquote('0:SpR:25.0,19777.0')] ).

cnf(22041,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(a),compose(domain__dfg(u),compose(a,g)),compose(compose(domain__dfg(u),a),g)),compose(compose(domain__dfg(u),a),g)),compose(compose(domain__dfg(u),a),g)),
    inference(spr,[status(thm),theory(equality)],[2,4632]),
    [iquote('0:SpR:2.0,4632.0')] ).

cnf(5470,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)],[23,5433]),
    [iquote('0:Rew:23.0,5433.0')] ).

cnf(22042,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(codomain(u),compose(a,g)),compose(compose(codomain(u),a),g)),compose(compose(codomain(u),a),g)),compose(compose(codomain(u),a),g)),
    inference(spr,[status(thm),theory(equality)],[25,4632]),
    [iquote('0:SpR:25.0,4632.0')] ).

cnf(22023,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(u),domain__dfg(h),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)],[2,4459]),
    [iquote('0:SpR:2.0,4459.0')] ).

cnf(22024,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),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)],[25,4459]),
    [iquote('0:SpR:25.0,4459.0')] ).

cnf(19084,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(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)],[3,5008]),
    [iquote('0:SpR:3.0,5008.0')] ).

cnf(5469,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)],[3,5434]),
    [iquote('0:Rew:3.0,5434.0')] ).

cnf(19085,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(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)],[23,5008]),
    [iquote('0:SpR:23.0,5008.0')] ).

cnf(18966,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[3,4841]),
    [iquote('0:SpR:3.0,4841.0')] ).

cnf(18967,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[23,4841]),
    [iquote('0:SpR:23.0,4841.0')] ).

cnf(18910,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)],[3,4615]),
    [iquote('0:SpR:3.0,4615.0')] ).

cnf(5413,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)],[2,420]),
    [iquote('0:SpR:2.0,420.0')] ).

cnf(18911,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)],[23,4615]),
    [iquote('0:SpR:23.0,4615.0')] ).

cnf(18878,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,codomain(u))),compose(compose(a,g),codomain(u))),compose(compose(a,g),codomain(u))),compose(compose(a,g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,4442]),
    [iquote('0:SpR:3.0,4442.0')] ).

cnf(18879,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,domain__dfg(u))),compose(compose(a,g),domain__dfg(u))),compose(compose(a,g),domain__dfg(u))),compose(compose(a,g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,4442]),
    [iquote('0:SpR:23.0,4442.0')] ).

cnf(18853,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,codomain(u))),compose(compose(h,g),codomain(u))),compose(compose(h,g),codomain(u))),compose(compose(h,g),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,4450]),
    [iquote('0:SpR:3.0,4450.0')] ).

cnf(5414,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)],[25,420]),
    [iquote('0:SpR:25.0,420.0')] ).

cnf(18854,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,domain__dfg(u))),compose(compose(h,g),domain__dfg(u))),compose(compose(h,g),domain__dfg(u))),compose(compose(h,g),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,4450]),
    [iquote('0:SpR:23.0,4450.0')] ).

cnf(18828,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[3,4451]),
    [iquote('0:SpR:3.0,4451.0')] ).

cnf(18829,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[23,4451]),
    [iquote('0:SpR:23.0,4451.0')] ).

cnf(13380,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(domain__dfg(u),a),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2723]),
    [iquote('0:SpR:500.0,2723.0')] ).

cnf(6056,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,compose(a,b))),compose(compose(h,u),compose(a,b))),compose(compose(h,u),compose(a,b))),compose(compose(h,u),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[131,422]),
    [iquote('0:SpR:131.0,422.0')] ).

cnf(13263,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(codomain(u),a),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2724]),
    [iquote('0:SpR:500.0,2724.0')] ).

cnf(13204,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(a,b),a),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2669]),
    [iquote('0:SpR:500.0,2669.0')] ).

cnf(13150,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(a,b),a),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2670]),
    [iquote('0:SpR:500.0,2670.0')] ).

cnf(13099,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(domain__dfg(u),b),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2625]),
    [iquote('0:SpR:500.0,2625.0')] ).

cnf(4994,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)],[133,412]),
    [iquote('0:SpR:133.0,412.0')] ).

cnf(13047,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(codomain(u),b),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2626]),
    [iquote('0:SpR:500.0,2626.0')] ).

cnf(12993,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(compose(a,b),b),domain__dfg(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2532]),
    [iquote('0:SpR:500.0,2532.0')] ).

cnf(12942,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(codomain(u),b),compose(compose(a,b),b),codomain(u),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2533]),
    [iquote('0:SpR:500.0,2533.0')] ).

cnf(22088,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,22072]),
    [iquote('0:Rew:8155.0,22072.0')] ).

cnf(4827,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),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)],[133,419]),
    [iquote('0:SpR:133.0,419.0')] ).

cnf(22087,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[451,22074]),
    [iquote('0:Rew:451.0,22074.0')] ).

cnf(22075,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(compose(a,b),b),u,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,8201]),
    [iquote('0:SpR:500.0,8201.0')] ).

cnf(22013,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[8155,21997]),
    [iquote('0:Rew:8155.0,21997.0')] ).

cnf(22012,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[451,21999]),
    [iquote('0:Rew:451.0,21999.0')] ).

cnf(4627,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)],[133,425]),
    [iquote('0:SpR:133.0,425.0')] ).

cnf(22000,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(compose(a,b),b),u,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,453]),
    [iquote('0:SpR:500.0,453.0')] ).

cnf(21969,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[284,344]),
    [iquote('0:SpR:284.0,344.0')] ).

cnf(21971,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[285,344]),
    [iquote('0:SpR:285.0,344.0')] ).

cnf(21972,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(g,a),a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,344]),
    [iquote('0:SpR:500.0,344.0')] ).

cnf(3130,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(g,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,515]),
    [iquote('0:SpR:205.0,515.0')] ).

cnf(21942,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[284,326]),
    [iquote('0:SpR:284.0,326.0')] ).

cnf(21944,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[285,326]),
    [iquote('0:SpR:285.0,326.0')] ).

cnf(21945,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,a),a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,326]),
    [iquote('0:SpR:500.0,326.0')] ).

cnf(14770,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,312]),
    [iquote('0:SpR:501.0,312.0')] ).

cnf(3091,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),g),compose(a,b))),compose(compose(compose(h,compose(a,b)),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,480]),
    [iquote('0:SpR:501.0,480.0')] ).

cnf(14741,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,252]),
    [iquote('0:SpR:501.0,252.0')] ).

cnf(10797,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(compose(h,compose(a,b)),b),domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,10705]),
    [iquote('0:SpR:501.0,10705.0')] ).

cnf(10744,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain__dfg(a),b),domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,10699]),
    [iquote('0:SpR:501.0,10699.0')] ).

cnf(13690,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,5262]),
    [iquote('0:SpR:501.0,5262.0')] ).

cnf(4039,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[501,325]),
    [iquote('0:SpR:501.0,325.0')] ).

cnf(4038,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(compose(h,a),a),u,compose(h,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[284,325]),
    [iquote('0:SpR:284.0,325.0')] ).

cnf(4040,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(compose(g,a),a),u,compose(g,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[285,325]),
    [iquote('0:SpR:285.0,325.0')] ).

cnf(4041,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(compose(a,b),a),u,compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[500,325]),
    [iquote('0:SpR:500.0,325.0')] ).

cnf(17124,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(h,a),a),v,ifeq(compose(codomain(u),a),v,codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,17106]),
    [iquote('0:Rew:1.0,17106.0')] ).

cnf(4260,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)],[23,4208]),
    [iquote('0:Rew:23.0,4208.0')] ).

cnf(17123,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(g,a),a),v,ifeq(compose(codomain(u),a),v,codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,17108]),
    [iquote('0:Rew:1.0,17108.0')] ).

cnf(16989,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(codomain(u),b),v,codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,16971,8155]),
    [iquote('0:Rew:1.0,16971.0,8155.0,16971.0')] ).

cnf(16988,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(codomain(u),b),v,codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,16973,451]),
    [iquote('0:Rew:1.0,16973.0,451.0,16973.0')] ).

cnf(9874,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(domain__dfg(u),compose(h,compose(a,b)))),compose(domain__dfg(u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,462]),
    [iquote('0:SpR:205.0,462.0')] ).

cnf(4259,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)],[3,4209]),
    [iquote('0:Rew:3.0,4209.0')] ).

cnf(9810,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(codomain(u),compose(h,compose(a,b)))),compose(codomain(u),compose(h,compose(a,b)))),compose(codomain(u),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,461]),
    [iquote('0:SpR:205.0,461.0')] ).

cnf(8269,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,3813]),
    [iquote('0:Rew:8155.0,3813.0')] ).

cnf(3942,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(h,a),a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,3922]),
    [iquote('0:Rew:1.0,3922.0')] ).

cnf(3941,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(g,a),a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3924]),
    [iquote('0:Rew:1.0,3924.0')] ).

cnf(4173,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)],[2,454]),
    [iquote('0:SpR:2.0,454.0')] ).

cnf(3812,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3797,451]),
    [iquote('0:Rew:1.0,3797.0,451.0,3797.0')] ).

cnf(10104,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(codomain(b),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[501,1984]),
    [iquote('0:SpR:501.0,1984.0')] ).

cnf(9980,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[205,9949]),
    [iquote('0:Rew:205.0,9949.0')] ).

cnf(5507,plain,
    equal(ifeq(codomain(b),codomain(u),compose(domain__dfg(h),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[501,5366,1,2,205]),
    [iquote('0:Rew:501.0,5366.0,1.0,5366.0,2.0,5366.0,205.0,5366.0')] ).

cnf(4174,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)],[25,454]),
    [iquote('0:SpR:25.0,454.0')] ).

cnf(5498,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(h,compose(a,b)),compose(codomain(b),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[25,5382,1,501,3]),
    [iquote('0:Rew:25.0,5382.0,1.0,5382.0,501.0,5382.0,3.0,5382.0')] ).

cnf(630,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,compose(h,compose(a,b))),codomain(b))),compose(compose(u,compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,622,501,3,205]),
    [iquote('0:Rew:1.0,622.0,501.0,622.0,3.0,622.0,205.0,622.0')] ).

cnf(491,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(u,domain__dfg(h)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[1,393,2,205,23]),
    [iquote('0:Rew:1.0,393.0,2.0,393.0,205.0,393.0,23.0,393.0')] ).

cnf(2719,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(u,a),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,304]),
    [iquote('0:SpR:500.0,304.0')] ).

cnf(467,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)],[3,427]),
    [iquote('0:Rew:3.0,427.0')] ).

cnf(2665,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(u,a),compose(compose(a,b),a),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,306]),
    [iquote('0:SpR:500.0,306.0')] ).

cnf(2621,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(u,b),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,245]),
    [iquote('0:SpR:500.0,245.0')] ).

cnf(2528,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(u,b),compose(compose(a,b),b),u,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,247]),
    [iquote('0:SpR:500.0,247.0')] ).

cnf(10713,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,3769]),
    [iquote('0:SpR:500.0,3769.0')] ).

cnf(414,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)],[25,8]),
    [iquote('0:SpR:25.0,8.0')] ).

cnf(19799,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),h),a)),compose(compose(compose(h,compose(a,b)),h),a)),
    inference(spr,[status(thm),theory(equality)],[501,19750]),
    [iquote('0:SpR:501.0,19750.0')] ).

cnf(16376,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(h,a)),b)),compose(compose(compose(h,a),compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[284,8410]),
    [iquote('0:SpR:284.0,8410.0')] ).

cnf(16378,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(h,a)),b)),compose(compose(compose(g,a),compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[285,8410]),
    [iquote('0:SpR:285.0,8410.0')] ).

cnf(16379,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(h,a)),b)),compose(compose(compose(a,b),compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[500,8410]),
    [iquote('0:SpR:500.0,8410.0')] ).

cnf(421,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)],[23,8]),
    [iquote('0:SpR:23.0,8.0')] ).

cnf(16331,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,8404]),
    [iquote('0:SpR:648.0,8404.0')] ).

cnf(16332,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,8404]),
    [iquote('0:SpR:519.0,8404.0')] ).

cnf(16121,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),domain__dfg(h)),compose(h,a))),compose(compose(compose(h,a),domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[284,696]),
    [iquote('0:SpR:284.0,696.0')] ).

cnf(16123,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),domain__dfg(h)),compose(h,a))),compose(compose(compose(g,a),domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[285,696]),
    [iquote('0:SpR:285.0,696.0')] ).

cnf(5265,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),w,ifeq(compose(codomain(u),a),w,codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[25,308]),
    [iquote('0:SpR:25.0,308.0')] ).

cnf(16124,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),domain__dfg(h)),compose(h,a))),compose(compose(compose(a,b),domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[500,696]),
    [iquote('0:SpR:500.0,696.0')] ).

cnf(16073,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),compose(h,a)),domain__dfg(b))),compose(compose(compose(h,a),compose(h,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[284,662]),
    [iquote('0:SpR:284.0,662.0')] ).

cnf(16075,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),compose(h,a)),domain__dfg(b))),compose(compose(compose(g,a),compose(h,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[285,662]),
    [iquote('0:SpR:285.0,662.0')] ).

cnf(16076,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),compose(h,a)),domain__dfg(b))),compose(compose(compose(a,b),compose(h,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[500,662]),
    [iquote('0:SpR:500.0,662.0')] ).

cnf(5152,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),w,ifeq(compose(codomain(u),b),w,codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[25,249]),
    [iquote('0:SpR:25.0,249.0')] ).

cnf(16055,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),domain__dfg(h)),compose(g,a))),compose(compose(compose(h,a),domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[284,619]),
    [iquote('0:SpR:284.0,619.0')] ).

cnf(16057,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),domain__dfg(h)),compose(g,a))),compose(compose(compose(g,a),domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[285,619]),
    [iquote('0:SpR:285.0,619.0')] ).

cnf(16058,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),domain__dfg(h)),compose(g,a))),compose(compose(compose(a,b),domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[500,619]),
    [iquote('0:SpR:500.0,619.0')] ).

cnf(16032,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),compose(a,b)),codomain(b))),compose(compose(compose(h,a),compose(a,b)),codomain(b))),
    inference(spr,[status(thm),theory(equality)],[284,608]),
    [iquote('0:SpR:284.0,608.0')] ).

cnf(3920,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),w,ifeq(compose(domain__dfg(u),a),w,domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,315]),
    [iquote('0:SpR:2.0,315.0')] ).

cnf(16034,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),compose(a,b)),codomain(b))),compose(compose(compose(g,a),compose(a,b)),codomain(b))),
    inference(spr,[status(thm),theory(equality)],[285,608]),
    [iquote('0:SpR:285.0,608.0')] ).

cnf(16035,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)],[500,608]),
    [iquote('0:SpR:500.0,608.0')] ).

cnf(16011,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),compose(g,a)),domain__dfg(b))),compose(compose(compose(h,a),compose(g,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[284,523]),
    [iquote('0:SpR:284.0,523.0')] ).

cnf(16013,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),compose(g,a)),domain__dfg(b))),compose(compose(compose(g,a),compose(g,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[285,523]),
    [iquote('0:SpR:285.0,523.0')] ).

cnf(3921,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),w,ifeq(compose(domain__dfg(u),a),w,domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,315]),
    [iquote('0:SpR:25.0,315.0')] ).

cnf(16014,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),compose(g,a)),domain__dfg(b))),compose(compose(compose(a,b),compose(g,a)),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[500,523]),
    [iquote('0:SpR:500.0,523.0')] ).

cnf(14713,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),h),compose(a,b))),compose(compose(compose(h,a),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,6081]),
    [iquote('0:SpR:284.0,6081.0')] ).

cnf(14715,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),h),compose(a,b))),compose(compose(compose(g,a),h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,6081]),
    [iquote('0:SpR:285.0,6081.0')] ).

cnf(14716,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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))),
    inference(spr,[status(thm),theory(equality)],[500,6081]),
    [iquote('0:SpR:500.0,6081.0')] ).

cnf(3793,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),w,ifeq(compose(domain__dfg(u),b),w,domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,255]),
    [iquote('0:SpR:2.0,255.0')] ).

cnf(14691,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(h,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[133,5945]),
    [iquote('0:SpR:133.0,5945.0')] ).

cnf(14693,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(h,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,5945]),
    [iquote('0:SpR:648.0,5945.0')] ).

cnf(14694,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(h,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,5945]),
    [iquote('0:SpR:519.0,5945.0')] ).

cnf(14628,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(g,a)),b)),compose(compose(compose(h,a),compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[284,529]),
    [iquote('0:SpR:284.0,529.0')] ).

cnf(3794,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),w,ifeq(compose(domain__dfg(u),b),w,domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,255]),
    [iquote('0:SpR:25.0,255.0')] ).

cnf(14630,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(g,a)),b)),compose(compose(compose(g,a),compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[285,529]),
    [iquote('0:SpR:285.0,529.0')] ).

cnf(14631,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(g,a)),b)),compose(compose(compose(a,b),compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[500,529]),
    [iquote('0:SpR:500.0,529.0')] ).

cnf(14610,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(g,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,526]),
    [iquote('0:SpR:648.0,526.0')] ).

cnf(14611,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(g,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,526]),
    [iquote('0:SpR:519.0,526.0')] ).

cnf(5825,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(u),v)),compose(compose(h,domain__dfg(u)),v)),compose(compose(h,domain__dfg(u)),v)),compose(compose(h,domain__dfg(u)),v)),
    inference(spr,[status(thm),theory(equality)],[131,468]),
    [iquote('0:SpR:131.0,468.0')] ).

cnf(14583,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),domain__dfg(a)),compose(a,b))),compose(compose(compose(h,a),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,484]),
    [iquote('0:SpR:284.0,484.0')] ).

cnf(14585,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),domain__dfg(a)),compose(a,b))),compose(compose(compose(g,a),domain__dfg(a)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,484]),
    [iquote('0:SpR:285.0,484.0')] ).

cnf(14586,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)],[500,484]),
    [iquote('0:SpR:500.0,484.0')] ).

cnf(13503,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,8218]),
    [iquote('0:SpR:501.0,8218.0')] ).

cnf(5420,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,codomain(v))),compose(compose(h,u),codomain(v))),compose(compose(h,u),codomain(v))),compose(compose(h,u),codomain(v))),
    inference(spr,[status(thm),theory(equality)],[131,420]),
    [iquote('0:SpR:131.0,420.0')] ).

cnf(13473,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,8216]),
    [iquote('0:SpR:501.0,8216.0')] ).

cnf(13450,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,2739]),
    [iquote('0:SpR:501.0,2739.0')] ).

cnf(13428,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,2738]),
    [iquote('0:SpR:501.0,2738.0')] ).

cnf(13406,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(h,a),a),compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[501,2685]),
    [iquote('0:SpR:501.0,2685.0')] ).

cnf(5027,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)],[23,5001]),
    [iquote('0:Rew:23.0,5001.0')] ).

cnf(13342,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),a),compose(compose(g,a),a),compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,2684]),
    [iquote('0:SpR:501.0,2684.0')] ).

cnf(13318,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,2642]),
    [iquote('0:SpR:501.0,2642.0')] ).

cnf(13291,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[501,2549]),
    [iquote('0:SpR:501.0,2549.0')] ).

cnf(12186,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[501,2737]),
    [iquote('0:SpR:501.0,2737.0')] ).

cnf(5026,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)],[3,5002]),
    [iquote('0:Rew:3.0,5002.0')] ).

cnf(12052,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),a,compose(h,compose(a,b)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[501,2683]),
    [iquote('0:SpR:501.0,2683.0')] ).

cnf(10688,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(a,a),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2722]),
    [iquote('0:SpR:500.0,2722.0')] ).

cnf(10670,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(a,a),compose(compose(a,b),a),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2668]),
    [iquote('0:SpR:500.0,2668.0')] ).

cnf(10651,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(a,b),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2624]),
    [iquote('0:SpR:500.0,2624.0')] ).

cnf(4992,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)],[3,412]),
    [iquote('0:SpR:3.0,412.0')] ).

cnf(10629,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(a,b),compose(compose(a,b),b),a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2531]),
    [iquote('0:SpR:500.0,2531.0')] ).

cnf(9379,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(h,domain__dfg(h)),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,2359]),
    [iquote('0:SpR:205.0,2359.0')] ).

cnf(8931,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,compose(a,b))),codomain(b))),compose(compose(h,compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[205,8897]),
    [iquote('0:Rew:205.0,8897.0')] ).

cnf(8482,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(a,compose(b,compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4991]),
    [iquote('0:SpR:205.0,4991.0')] ).

cnf(4993,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)],[23,412]),
    [iquote('0:SpR:23.0,412.0')] ).

cnf(8463,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(h,compose(a,compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4640]),
    [iquote('0:SpR:205.0,4640.0')] ).

cnf(8436,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(g,compose(a,compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,4639]),
    [iquote('0:SpR:205.0,4639.0')] ).

cnf(8414,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,8365,284]),
    [iquote('0:Rew:1.0,8365.0,284.0,8365.0')] ).

cnf(8330,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),a),b)),compose(compose(compose(h,compose(a,b)),a),b)),
    inference(rew,[status(thm),theory(equality)],[8155,8150]),
    [iquote('0:Rew:8155.0,8150.0')] ).

cnf(4865,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(v),ifeq(domain__dfg(a),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(rew,[status(thm),theory(equality)],[23,4834]),
    [iquote('0:Rew:23.0,4834.0')] ).

cnf(8124,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),g),a)),compose(compose(compose(h,compose(a,b)),g),a)),
    inference(spr,[status(thm),theory(equality)],[501,4429]),
    [iquote('0:SpR:501.0,4429.0')] ).

cnf(8103,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),g)),compose(compose(compose(h,compose(a,b)),domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[501,465]),
    [iquote('0:SpR:501.0,465.0')] ).

cnf(8082,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(h,compose(a,b)),a),compose(compose(compose(h,compose(a,b)),a),domain__dfg(b))),compose(compose(compose(h,compose(a,b)),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[501,459]),
    [iquote('0:SpR:501.0,459.0')] ).

cnf(8062,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),g),domain__dfg(a))),compose(compose(compose(h,compose(a,b)),g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[501,458]),
    [iquote('0:SpR:501.0,458.0')] ).

cnf(4864,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),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)],[3,4835]),
    [iquote('0:Rew:3.0,4835.0')] ).

cnf(8044,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),h),compose(compose(compose(h,compose(a,b)),h),domain__dfg(a))),compose(compose(compose(h,compose(a,b)),h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[501,457]),
    [iquote('0:SpR:501.0,457.0')] ).

cnf(5973,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(h,a),h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2734]),
    [iquote('0:SpR:501.0,2734.0')] ).

cnf(5885,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,a),compose(compose(h,compose(a,b)),a),h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2680]),
    [iquote('0:SpR:501.0,2680.0')] ).

cnf(5739,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,b),h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2636]),
    [iquote('0:SpR:501.0,2636.0')] ).

cnf(4825,plain,
    equal(ifeq(codomain(u),codomain(v),ifeq(domain__dfg(a),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)],[3,419]),
    [iquote('0:SpR:3.0,419.0')] ).

cnf(5532,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,b),compose(compose(h,compose(a,b)),b),h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2543]),
    [iquote('0:SpR:501.0,2543.0')] ).

cnf(5292,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(g,a),compose(compose(h,compose(a,b)),a),g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2172]),
    [iquote('0:SpR:501.0,2172.0')] ).

cnf(5188,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(g,a),g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2169]),
    [iquote('0:SpR:501.0,2169.0')] ).

cnf(5071,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(g,b),compose(compose(h,compose(a,b)),b),g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2133]),
    [iquote('0:SpR:501.0,2133.0')] ).

cnf(4826,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),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)],[23,419]),
    [iquote('0:SpR:23.0,419.0')] ).

cnf(5052,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,compose(a,b))),codomain(b))),compose(compose(a,compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,4982,501,3,205]),
    [iquote('0:Rew:1.0,4982.0,501.0,4982.0,3.0,4982.0,205.0,4982.0')] ).

cnf(5051,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(a,b))),compose(compose(a,domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(a,domain__dfg(h)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[1,4966,2,205,23]),
    [iquote('0:Rew:1.0,4966.0,2.0,4966.0,205.0,4966.0,23.0,4966.0')] ).

cnf(4936,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(g,b),g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2129]),
    [iquote('0:SpR:501.0,2129.0')] ).

cnf(4892,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,compose(a,b))),codomain(b))),compose(compose(g,compose(h,compose(a,b))),codomain(b))),
    inference(rew,[status(thm),theory(equality)],[1,4814,501,3,205]),
    [iquote('0:Rew:1.0,4814.0,501.0,4814.0,3.0,4814.0,205.0,4814.0')] ).

cnf(5656,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),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)],[131,413]),
    [iquote('0:SpR:131.0,413.0')] ).

cnf(4891,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,domain__dfg(h)),compose(h,compose(a,b)))),compose(compose(g,domain__dfg(h)),compose(h,compose(a,b)))),
    inference(rew,[status(thm),theory(equality)],[1,4798,2,205,23]),
    [iquote('0:Rew:1.0,4798.0,2.0,4798.0,205.0,4798.0,23.0,4798.0')] ).

cnf(3131,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(g,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,515]),
    [iquote('0:SpR:648.0,515.0')] ).

cnf(3132,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(g,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,515]),
    [iquote('0:SpR:519.0,515.0')] ).

cnf(3090,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),g),compose(a,b))),compose(compose(compose(h,a),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[284,480]),
    [iquote('0:SpR:284.0,480.0')] ).

cnf(5440,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(v),domain__dfg(h),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)],[131,420]),
    [iquote('0:SpR:131.0,420.0')] ).

cnf(3092,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),g),compose(a,b))),compose(compose(compose(g,a),g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[285,480]),
    [iquote('0:SpR:285.0,480.0')] ).

cnf(3093,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,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)],[500,480]),
    [iquote('0:SpR:500.0,480.0')] ).

cnf(15767,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(h,a),a),compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[284,2714]),
    [iquote('0:SpR:284.0,2714.0')] ).

cnf(15769,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(g,a),a),compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[285,2714]),
    [iquote('0:SpR:285.0,2714.0')] ).

cnf(4616,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)],[2,425]),
    [iquote('0:SpR:2.0,425.0')] ).

cnf(15770,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(compose(a,b),a),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[500,2714]),
    [iquote('0:SpR:500.0,2714.0')] ).

cnf(15601,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(h,a),a),compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[284,2715]),
    [iquote('0:SpR:284.0,2715.0')] ).

cnf(15603,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(g,a),a),compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[285,2715]),
    [iquote('0:SpR:285.0,2715.0')] ).

cnf(15604,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(compose(a,b),a),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,2715]),
    [iquote('0:SpR:500.0,2715.0')] ).

cnf(4617,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)],[25,425]),
    [iquote('0:SpR:25.0,425.0')] ).

cnf(15427,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(domain__dfg(u),a),compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[284,2660]),
    [iquote('0:SpR:284.0,2660.0')] ).

cnf(15429,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(domain__dfg(u),a),compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[285,2660]),
    [iquote('0:SpR:285.0,2660.0')] ).

cnf(15430,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(domain__dfg(u),a),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[500,2660]),
    [iquote('0:SpR:500.0,2660.0')] ).

cnf(15260,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(codomain(u),a),compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[284,2661]),
    [iquote('0:SpR:284.0,2661.0')] ).

cnf(4625,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)],[3,425]),
    [iquote('0:SpR:3.0,425.0')] ).

cnf(15262,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(codomain(u),a),compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[285,2661]),
    [iquote('0:SpR:285.0,2661.0')] ).

cnf(15263,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(codomain(u),a),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,2661]),
    [iquote('0:SpR:500.0,2661.0')] ).

cnf(15192,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(h,compose(a,b)),compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[8155,15175]),
    [iquote('0:Rew:8155.0,15175.0')] ).

cnf(15191,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(h,compose(a,b)),compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[451,15177]),
    [iquote('0:Rew:451.0,15177.0')] ).

cnf(4626,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)],[23,425]),
    [iquote('0:SpR:23.0,425.0')] ).

cnf(15178,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(compose(a,b),b),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[500,2616]),
    [iquote('0:SpR:500.0,2616.0')] ).

cnf(15116,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(h,compose(a,b)),compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[8155,15102]),
    [iquote('0:Rew:8155.0,15102.0')] ).

cnf(15115,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(h,compose(a,b)),compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[451,15104]),
    [iquote('0:Rew:451.0,15104.0')] ).

cnf(15105,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(compose(a,b),b),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,2617]),
    [iquote('0:SpR:500.0,2617.0')] ).

cnf(4443,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(v),domain__dfg(h),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(spr,[status(thm),theory(equality)],[2,449]),
    [iquote('0:SpR:2.0,449.0')] ).

cnf(15038,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(domain__dfg(u),b),compose(h,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[8155,15021]),
    [iquote('0:Rew:8155.0,15021.0')] ).

cnf(15037,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(domain__dfg(u),b),compose(g,a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[451,15023]),
    [iquote('0:Rew:451.0,15023.0')] ).

cnf(15024,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(domain__dfg(u),b),compose(a,b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[500,2523]),
    [iquote('0:SpR:500.0,2523.0')] ).

cnf(14965,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(codomain(u),b),compose(h,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[8155,14951]),
    [iquote('0:Rew:8155.0,14951.0')] ).

cnf(4444,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[25,449]),
    [iquote('0:SpR:25.0,449.0')] ).

cnf(14964,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(codomain(u),b),compose(g,a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[451,14953]),
    [iquote('0:Rew:451.0,14953.0')] ).

cnf(14954,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(codomain(u),b),compose(a,b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,2524]),
    [iquote('0:SpR:500.0,2524.0')] ).

cnf(10236,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),b,domain__dfg(b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2638]),
    [iquote('0:SpR:500.0,2638.0')] ).

cnf(10217,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),ifeq(b,compose(compose(a,b),b),domain__dfg(b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2545]),
    [iquote('0:SpR:500.0,2545.0')] ).

cnf(4452,plain,
    equal(ifeq(domain__dfg(a),codomain(u),ifeq(codomain(v),domain__dfg(h),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(spr,[status(thm),theory(equality)],[3,449]),
    [iquote('0:SpR:3.0,449.0')] ).

cnf(3152,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(a,compose(compose(h,compose(a,b)),a),domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2026]),
    [iquote('0:SpR:501.0,2026.0')] ).

cnf(3108,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),a,domain__dfg(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2024]),
    [iquote('0:SpR:501.0,2024.0')] ).

cnf(424,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[204,8]),
    [iquote('0:SpR:204.0,8.0')] ).

cnf(8200,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(h,compose(a,b)),v,compose(h,a),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[8155,292]),
    [iquote('0:Rew:8155.0,292.0')] ).

cnf(4453,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[23,449]),
    [iquote('0:SpR:23.0,449.0')] ).

cnf(536,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(compose(a,b),b),v,compose(a,b),u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,11]),
    [iquote('0:SpR:500.0,11.0')] ).

cnf(538,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(compose(a,b),a),v,compose(a,b),u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,10]),
    [iquote('0:SpR:500.0,10.0')] ).

cnf(452,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(h,compose(a,b)),v,compose(g,a),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[451,333]),
    [iquote('0:Rew:451.0,333.0')] ).

cnf(335,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(compose(g,a),a),v,compose(g,a),u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[285,10]),
    [iquote('0:SpR:285.0,10.0')] ).

cnf(511,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(compose(h,compose(a,b)),a),v,compose(h,compose(a,b)),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[500,317]),
    [iquote('0:Rew:500.0,317.0')] ).

cnf(318,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(compose(h,a),a),v,compose(h,a),u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[284,10]),
    [iquote('0:SpR:284.0,10.0')] ).

cnf(19917,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,g)),compose(compose(h,u),g)),compose(compose(h,u),g)),compose(compose(h,u),g)),
    inference(spr,[status(thm),theory(equality)],[204,418]),
    [iquote('0:SpR:204.0,418.0')] ).

cnf(4999,plain,
    equal(ifeq(codomain(u),domain__dfg(h),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)],[204,412]),
    [iquote('0:SpR:204.0,412.0')] ).

cnf(4832,plain,
    equal(ifeq(codomain(u),domain__dfg(h),ifeq(domain__dfg(a),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)],[204,419]),
    [iquote('0:SpR:204.0,419.0')] ).

cnf(508,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(compose(h,compose(a,b)),b),v,compose(h,compose(a,b)),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[500,257]),
    [iquote('0:Rew:500.0,257.0')] ).

cnf(19768,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,u)),compose(compose(h,h),u)),compose(compose(h,h),u)),compose(compose(h,h),u)),
    inference(spr,[status(thm),theory(equality)],[131,431]),
    [iquote('0:SpR:131.0,431.0')] ).

cnf(22102,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,g)),compose(compose(h,h),g)),compose(compose(h,h),g)),compose(compose(h,h),g)),
    inference(spr,[status(thm),theory(equality)],[131,19777]),
    [iquote('0:SpR:131.0,19777.0')] ).

cnf(19777,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),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)],[204,431]),
    [iquote('0:SpR:204.0,431.0')] ).

cnf(8201,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(u,b),v,u,compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,301]),
    [iquote('0:Rew:8155.0,301.0')] ).

cnf(3250,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,313]),
    [iquote('0:SpR:501.0,313.0')] ).

cnf(4632,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(codomain(u),domain__dfg(a),compose(u,compose(a,g)),compose(compose(u,a),g)),compose(compose(u,a),g)),compose(compose(u,a),g)),
    inference(spr,[status(thm),theory(equality)],[204,425]),
    [iquote('0:SpR:204.0,425.0')] ).

cnf(4459,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,g)),compose(compose(u,g),g)),compose(compose(u,g),g)),compose(compose(u,g),g)),
    inference(spr,[status(thm),theory(equality)],[204,449]),
    [iquote('0:SpR:204.0,449.0')] ).

cnf(453,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),v,ifeq(compose(u,b),v,u,compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[451,345]),
    [iquote('0:Rew:451.0,345.0')] ).

cnf(344,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(g,a),a),v,ifeq(compose(u,a),v,u,compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,338]),
    [iquote('0:Rew:1.0,338.0')] ).

cnf(3173,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,253]),
    [iquote('0:SpR:501.0,253.0')] ).

cnf(326,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(h,a),a),v,ifeq(compose(u,a),v,u,compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,311]),
    [iquote('0:Rew:1.0,311.0')] ).

cnf(14769,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[284,312]),
    [iquote('0:SpR:284.0,312.0')] ).

cnf(14771,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[285,312]),
    [iquote('0:SpR:285.0,312.0')] ).

cnf(14772,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,312]),
    [iquote('0:SpR:500.0,312.0')] ).

cnf(309,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),w,ifeq(compose(u,a),w,u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,10]),
    [iquote('0:SpR:25.0,10.0')] ).

cnf(14753,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),h),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[8155,14740]),
    [iquote('0:Rew:8155.0,14740.0')] ).

cnf(14752,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),h),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[451,14742]),
    [iquote('0:Rew:451.0,14742.0')] ).

cnf(14743,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(compose(a,b),b),u,compose(a,b),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,252]),
    [iquote('0:SpR:500.0,252.0')] ).

cnf(9762,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(h,a),u,h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,322]),
    [iquote('0:SpR:500.0,322.0')] ).

cnf(250,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),w,ifeq(compose(u,b),w,u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,11]),
    [iquote('0:SpR:25.0,11.0')] ).

cnf(9650,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(h,b),u,h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,261]),
    [iquote('0:SpR:500.0,261.0')] ).

cnf(8266,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(a,b),u,a,compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,3479]),
    [iquote('0:Rew:8155.0,3479.0')] ).

cnf(8263,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),g),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[8155,3172]),
    [iquote('0:Rew:8155.0,3172.0')] ).

cnf(3672,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),u,ifeq(compose(a,a),u,a,compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,3662]),
    [iquote('0:Rew:1.0,3662.0')] ).

cnf(3660,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(a,a),v,a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,314]),
    [iquote('0:SpR:2.0,314.0')] ).

cnf(3671,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),u,ifeq(compose(a,a),u,a,compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3664]),
    [iquote('0:Rew:1.0,3664.0')] ).

cnf(3478,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(compose(a,b),u,a,compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3471,451]),
    [iquote('0:Rew:1.0,3471.0,451.0,3471.0')] ).

cnf(3249,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[284,313]),
    [iquote('0:SpR:284.0,313.0')] ).

cnf(3251,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[285,313]),
    [iquote('0:SpR:285.0,313.0')] ).

cnf(3661,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(a,a),v,a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,314]),
    [iquote('0:SpR:25.0,314.0')] ).

cnf(3252,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,313]),
    [iquote('0:SpR:500.0,313.0')] ).

cnf(3182,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),g),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[451,3174]),
    [iquote('0:Rew:451.0,3174.0')] ).

cnf(3175,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(compose(a,b),b),u,compose(a,b),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,253]),
    [iquote('0:SpR:500.0,253.0')] ).

cnf(2180,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(compose(g,a),u,g,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,321]),
    [iquote('0:SpR:500.0,321.0')] ).

cnf(3467,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(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)],[2,254]),
    [iquote('0:SpR:2.0,254.0')] ).

cnf(2141,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),u,ifeq(compose(g,b),u,g,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,260]),
    [iquote('0:SpR:500.0,260.0')] ).

cnf(19090,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,g)),compose(compose(a,h),g)),compose(compose(a,h),g)),compose(compose(a,h),g)),
    inference(spr,[status(thm),theory(equality)],[204,5008]),
    [iquote('0:SpR:204.0,5008.0')] ).

cnf(18972,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),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)],[204,4841]),
    [iquote('0:SpR:204.0,4841.0')] ).

cnf(18916,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(a),compose(a,compose(a,g)),compose(compose(a,a),g)),compose(compose(a,a),g)),compose(compose(a,a),g)),
    inference(spr,[status(thm),theory(equality)],[204,4615]),
    [iquote('0:SpR:204.0,4615.0')] ).

cnf(3468,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(a,b),v,a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,254]),
    [iquote('0:SpR:25.0,254.0')] ).

cnf(18884,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,g)),compose(compose(a,g),g)),compose(compose(a,g),g)),compose(compose(a,g),g)),
    inference(spr,[status(thm),theory(equality)],[204,4442]),
    [iquote('0:SpR:204.0,4442.0')] ).

cnf(18859,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,g)),compose(compose(h,g),g)),compose(compose(h,g),g)),compose(compose(h,g),g)),
    inference(spr,[status(thm),theory(equality)],[204,4450]),
    [iquote('0:SpR:204.0,4450.0')] ).

cnf(18834,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),ifeq(domain__dfg(a),domain__dfg(h),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)],[204,4451]),
    [iquote('0:SpR:204.0,4451.0')] ).

cnf(10479,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,2720]),
    [iquote('0:SpR:501.0,2720.0')] ).

cnf(2356,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),u),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),u)),compose(compose(compose(h,compose(a,b)),domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[501,466]),
    [iquote('0:SpR:501.0,466.0')] ).

cnf(10460,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,2721]),
    [iquote('0:SpR:501.0,2721.0')] ).

cnf(10440,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(h,a),compose(h,compose(a,b)),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,2666]),
    [iquote('0:SpR:501.0,2666.0')] ).

cnf(10421,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(g,a),compose(h,compose(a,b)),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,2667]),
    [iquote('0:SpR:501.0,2667.0')] ).

cnf(10398,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,2622]),
    [iquote('0:SpR:501.0,2622.0')] ).

cnf(2252,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),u),compose(compose(compose(h,compose(a,b)),u),codomain(u))),compose(compose(compose(h,compose(a,b)),u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[501,460]),
    [iquote('0:SpR:501.0,460.0')] ).

cnf(10371,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,2623]),
    [iquote('0:SpR:501.0,2623.0')] ).

cnf(10346,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,b),compose(h,compose(a,b)),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[501,2529]),
    [iquote('0:SpR:501.0,2529.0')] ).

cnf(10305,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(g,b),compose(h,compose(a,b)),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[501,2530]),
    [iquote('0:SpR:501.0,2530.0')] ).

cnf(2589,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[501,2519]),
    [iquote('0:SpR:501.0,2519.0')] ).

cnf(6112,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(compose(g,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,6031,285]),
    [iquote('0:Rew:1.0,6031.0,285.0,6031.0')] ).

cnf(13375,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),compose(domain__dfg(u),a),domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2723]),
    [iquote('0:SpR:2.0,2723.0')] ).

cnf(13376,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),compose(domain__dfg(u),a),domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2723]),
    [iquote('0:SpR:25.0,2723.0')] ).

cnf(13258,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),compose(codomain(u),a),codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2724]),
    [iquote('0:SpR:2.0,2724.0')] ).

cnf(13259,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),compose(codomain(u),a),codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2724]),
    [iquote('0:SpR:25.0,2724.0')] ).

cnf(3129,plain,
    equal(ifeq(codomain(b),domain__dfg(a),compose(g,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[133,515]),
    [iquote('0:SpR:133.0,515.0')] ).

cnf(13199,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(domain__dfg(v),a),domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2669]),
    [iquote('0:SpR:2.0,2669.0')] ).

cnf(13200,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(codomain(v),a),domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2669]),
    [iquote('0:SpR:25.0,2669.0')] ).

cnf(13145,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(codomain(u),a),compose(domain__dfg(v),a),codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2670]),
    [iquote('0:SpR:2.0,2670.0')] ).

cnf(13146,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(u),a),compose(codomain(v),a),codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2670]),
    [iquote('0:SpR:25.0,2670.0')] ).

cnf(2908,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(b,v,domain__dfg(b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,263]),
    [iquote('0:SpR:2.0,263.0')] ).

cnf(13094,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),compose(domain__dfg(u),b),domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2625]),
    [iquote('0:SpR:2.0,2625.0')] ).

cnf(13095,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),compose(domain__dfg(u),b),domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2625]),
    [iquote('0:SpR:25.0,2625.0')] ).

cnf(13042,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),compose(codomain(u),b),codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2626]),
    [iquote('0:SpR:2.0,2626.0')] ).

cnf(13043,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),compose(codomain(u),b),codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2626]),
    [iquote('0:SpR:25.0,2626.0')] ).

cnf(2909,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(b,v,domain__dfg(b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,263]),
    [iquote('0:SpR:25.0,263.0')] ).

cnf(12988,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(domain__dfg(v),b),domain__dfg(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2532]),
    [iquote('0:SpR:2.0,2532.0')] ).

cnf(12989,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(codomain(v),b),domain__dfg(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2532]),
    [iquote('0:SpR:25.0,2532.0')] ).

cnf(12937,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(codomain(u),b),compose(domain__dfg(v),b),codomain(u),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,2533]),
    [iquote('0:SpR:2.0,2533.0')] ).

cnf(12938,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(u),b),compose(codomain(v),b),codomain(u),codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,2533]),
    [iquote('0:SpR:25.0,2533.0')] ).

cnf(4037,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,v,ifeq(compose(codomain(u),a),v,codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,325]),
    [iquote('0:SpR:25.0,325.0')] ).

cnf(12838,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),domain__dfg(u)),compose(compose(compose(h,a),domain__dfg(u)),domain__dfg(u))),compose(compose(compose(h,a),domain__dfg(u)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,476]),
    [iquote('0:SpR:284.0,476.0')] ).

cnf(12840,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),domain__dfg(u)),compose(compose(compose(g,a),domain__dfg(u)),domain__dfg(u))),compose(compose(compose(g,a),domain__dfg(u)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,476]),
    [iquote('0:SpR:285.0,476.0')] ).

cnf(12841,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)],[500,476]),
    [iquote('0:SpR:500.0,476.0')] ).

cnf(11346,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),codomain(u)),compose(compose(compose(h,a),codomain(u)),codomain(u))),compose(compose(compose(h,a),codomain(u)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,475]),
    [iquote('0:SpR:284.0,475.0')] ).

cnf(3940,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,3917]),
    [iquote('0:Rew:2.0,3917.0')] ).

cnf(11348,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),codomain(u)),compose(compose(compose(g,a),codomain(u)),codomain(u))),compose(compose(compose(g,a),codomain(u)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,475]),
    [iquote('0:SpR:285.0,475.0')] ).

cnf(19798,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),h),a)),compose(compose(compose(h,a),h),a)),
    inference(spr,[status(thm),theory(equality)],[284,19750]),
    [iquote('0:SpR:284.0,19750.0')] ).

cnf(19800,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),h),a)),compose(compose(compose(g,a),h),a)),
    inference(spr,[status(thm),theory(equality)],[285,19750]),
    [iquote('0:SpR:285.0,19750.0')] ).

cnf(19801,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),h),a)),compose(compose(compose(a,b),h),a)),
    inference(spr,[status(thm),theory(equality)],[500,19750]),
    [iquote('0:SpR:500.0,19750.0')] ).

cnf(418,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,v)),compose(compose(h,u),v)),compose(compose(h,u),v)),compose(compose(h,u),v)),
    inference(spr,[status(thm),theory(equality)],[131,8]),
    [iquote('0:SpR:131.0,8.0')] ).

cnf(19796,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,a)),compose(compose(domain__dfg(u),h),a)),compose(compose(domain__dfg(u),h),a)),
    inference(spr,[status(thm),theory(equality)],[2,19750]),
    [iquote('0:SpR:2.0,19750.0')] ).

cnf(19797,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,a)),compose(compose(codomain(u),h),a)),compose(compose(codomain(u),h),a)),
    inference(spr,[status(thm),theory(equality)],[25,19750]),
    [iquote('0:SpR:25.0,19750.0')] ).

cnf(19802,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,a)),compose(compose(h,h),a)),compose(compose(h,h),a)),
    inference(spr,[status(thm),theory(equality)],[131,19750]),
    [iquote('0:SpR:131.0,19750.0')] ).

cnf(19750,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,a)),compose(compose(u,h),a)),compose(compose(u,h),a)),
    inference(spr,[status(thm),theory(equality)],[431,1]),
    [iquote('0:SpR:431.0,1.0')] ).

cnf(431,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[131,8]),
    [iquote('0:SpR:131.0,8.0')] ).

cnf(11349,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)],[500,475]),
    [iquote('0:SpR:500.0,475.0')] ).

cnf(16375,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(a,b))),compose(compose(codomain(u),compose(h,a)),b)),compose(compose(codomain(u),compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[25,8410]),
    [iquote('0:SpR:25.0,8410.0')] ).

cnf(16328,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,a),compose(b,domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,8404]),
    [iquote('0:SpR:23.0,8404.0')] ).

cnf(14711,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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))),
    inference(spr,[status(thm),theory(equality)],[2,6081]),
    [iquote('0:SpR:2.0,6081.0')] ).

cnf(2726,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[501,304]),
    [iquote('0:SpR:501.0,304.0')] ).

cnf(14712,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(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)],[25,6081]),
    [iquote('0:SpR:25.0,6081.0')] ).

cnf(14689,plain,
    equal(ifeq(codomain(b),codomain(u),compose(h,compose(compose(a,b),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,5945]),
    [iquote('0:SpR:3.0,5945.0')] ).

cnf(14690,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(h,compose(compose(a,b),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,5945]),
    [iquote('0:SpR:23.0,5945.0')] ).

cnf(14627,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,compose(a,b))),compose(compose(codomain(u),compose(g,a)),b)),compose(compose(codomain(u),compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[25,529]),
    [iquote('0:SpR:25.0,529.0')] ).

cnf(2672,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),a),compose(u,a),compose(h,compose(a,b)),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[501,306]),
    [iquote('0:SpR:501.0,306.0')] ).

cnf(14607,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(g,a),compose(b,domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,526]),
    [iquote('0:SpR:23.0,526.0')] ).

cnf(11738,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)],[133,2354]),
    [iquote('0:SpR:133.0,2354.0')] ).

cnf(11740,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,a)),compose(compose(codomain(u),domain__dfg(h)),compose(h,a))),compose(compose(codomain(u),domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,2354]),
    [iquote('0:SpR:648.0,2354.0')] ).

cnf(11741,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,a)),compose(compose(codomain(u),domain__dfg(h)),compose(g,a))),compose(compose(codomain(u),domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,2354]),
    [iquote('0:SpR:519.0,2354.0')] ).

cnf(2628,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[501,245]),
    [iquote('0:SpR:501.0,245.0')] ).

cnf(11427,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,a)),compose(compose(codomain(u),compose(h,a)),domain__dfg(b))),compose(compose(codomain(u),compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[648,11371]),
    [iquote('0:Rew:648.0,11371.0')] ).

cnf(11426,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,a)),compose(compose(codomain(u),compose(g,a)),domain__dfg(b))),compose(compose(codomain(u),compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[519,11373]),
    [iquote('0:Rew:519.0,11373.0')] ).

cnf(11425,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)],[133,11374]),
    [iquote('0:Rew:133.0,11374.0')] ).

cnf(8413,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(u),compose(h,a)),b)),compose(compose(domain__dfg(u),compose(h,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,8340,284,648]),
    [iquote('0:Rew:1.0,8340.0,284.0,8340.0,648.0,8340.0')] ).

cnf(2535,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,compose(a,b)),b),compose(u,b),compose(h,compose(a,b)),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[501,247]),
    [iquote('0:SpR:501.0,247.0')] ).

cnf(8412,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(h,a),compose(b,codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[1,8367,284]),
    [iquote('0:Rew:1.0,8367.0,284.0,8367.0')] ).

cnf(5707,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,a)),compose(compose(domain__dfg(u),compose(h,a)),domain__dfg(b))),compose(compose(domain__dfg(u),compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,5603,284,23,648]),
    [iquote('0:Rew:1.0,5603.0,284.0,5603.0,23.0,5603.0,648.0,5603.0')] ).

cnf(5706,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,a)),compose(compose(domain__dfg(u),compose(g,a)),domain__dfg(b))),compose(compose(domain__dfg(u),compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,5604,285,23,519]),
    [iquote('0:Rew:1.0,5604.0,285.0,5604.0,23.0,5604.0,519.0,5604.0')] ).

cnf(19077,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,a)),compose(compose(a,h),a)),compose(compose(a,h),a)),
    inference(spr,[status(thm),theory(equality)],[5008,1]),
    [iquote('0:SpR:5008.0,1.0')] ).

cnf(5008,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,u)),compose(compose(a,h),u)),compose(compose(a,h),u)),compose(compose(a,h),u)),
    inference(spr,[status(thm),theory(equality)],[131,412]),
    [iquote('0:SpR:131.0,412.0')] ).

cnf(5705,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)],[1,5606,500,3,133]),
    [iquote('0:Rew:1.0,5606.0,500.0,5606.0,3.0,5606.0,133.0,5606.0')] ).

cnf(5704,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,a)),compose(compose(domain__dfg(u),domain__dfg(h)),compose(g,a))),compose(compose(domain__dfg(u),domain__dfg(h)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[1,5593,2,519,23]),
    [iquote('0:Rew:1.0,5593.0,2.0,5593.0,519.0,5593.0,23.0,5593.0')] ).

cnf(5703,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,a)),compose(compose(domain__dfg(u),domain__dfg(h)),compose(h,a))),compose(compose(domain__dfg(u),domain__dfg(h)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[1,5594,2,648,23]),
    [iquote('0:Rew:1.0,5594.0,2.0,5594.0,648.0,5594.0,23.0,5594.0')] ).

cnf(18959,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,a)),compose(compose(g,h),a)),compose(compose(g,h),a)),
    inference(spr,[status(thm),theory(equality)],[4841,1]),
    [iquote('0:SpR:4841.0,1.0')] ).

cnf(4841,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[131,419]),
    [iquote('0:SpR:131.0,419.0')] ).

cnf(629,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,compose(a,b)),compose(codomain(b),u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[25,623,1,501,3]),
    [iquote('0:Rew:25.0,623.0,1.0,623.0,501.0,623.0,3.0,623.0')] ).

cnf(518,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[500,488]),
    [iquote('0:Rew:500.0,488.0')] ).

cnf(13689,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,5262]),
    [iquote('0:SpR:284.0,5262.0')] ).

cnf(13691,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,5262]),
    [iquote('0:SpR:285.0,5262.0')] ).

cnf(4615,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)],[9,425]),
    [iquote('0:SpR:9.0,425.0')] ).

cnf(13692,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,5262]),
    [iquote('0:SpR:500.0,5262.0')] ).

cnf(8253,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(b,u,domain__dfg(b),compose(h,a)),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,2920]),
    [iquote('0:Rew:8155.0,2920.0')] ).

cnf(2919,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),u,ifeq(b,u,domain__dfg(b),compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2912,451]),
    [iquote('0:Rew:1.0,2912.0,451.0,2912.0')] ).

cnf(2033,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),u,ifeq(a,u,domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,324]),
    [iquote('0:SpR:500.0,324.0')] ).

cnf(4442,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,u)),compose(compose(a,g),u)),compose(compose(a,g),u)),compose(compose(a,g),u)),
    inference(spr,[status(thm),theory(equality)],[9,449]),
    [iquote('0:SpR:9.0,449.0')] ).

cnf(18602,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)],[9,4207]),
    [iquote('0:SpR:9.0,4207.0')] ).

cnf(18578,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(a,h)),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,codomain(compose(a,h)))),compose(a,h)),compose(a,h)),compose(a,h)),
    inference(spr,[status(thm),theory(equality)],[9,4215]),
    [iquote('0:SpR:9.0,4215.0')] ).

cnf(18585,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(h,h)),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,codomain(compose(h,h)))),compose(h,h)),compose(h,h)),compose(h,h)),
    inference(spr,[status(thm),theory(equality)],[131,4215]),
    [iquote('0:SpR:131.0,4215.0')] ).

cnf(18586,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(g,h)),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,codomain(compose(g,h)))),compose(g,h)),compose(g,h)),compose(g,h)),
    inference(spr,[status(thm),theory(equality)],[132,4215]),
    [iquote('0:SpR:132.0,4215.0')] ).

cnf(4450,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,u)),compose(compose(h,g),u)),compose(compose(h,g),u)),compose(compose(h,g),u)),
    inference(spr,[status(thm),theory(equality)],[131,449]),
    [iquote('0:SpR:131.0,449.0')] ).

cnf(18493,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(a,g)),ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,codomain(compose(a,g)))),compose(a,g)),compose(a,g)),compose(a,g)),
    inference(spr,[status(thm),theory(equality)],[9,4247]),
    [iquote('0:SpR:9.0,4247.0')] ).

cnf(18500,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(h,g)),ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,codomain(compose(h,g)))),compose(h,g)),compose(h,g)),compose(h,g)),
    inference(spr,[status(thm),theory(equality)],[131,4247]),
    [iquote('0:SpR:131.0,4247.0')] ).

cnf(18501,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(g,g)),ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,codomain(compose(g,g)))),compose(g,g)),compose(g,g)),compose(g,g)),
    inference(spr,[status(thm),theory(equality)],[132,4247]),
    [iquote('0:SpR:132.0,4247.0')] ).

cnf(11611,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,695]),
    [iquote('0:SpR:648.0,695.0')] ).

cnf(4451,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(domain__dfg(a),domain__dfg(h),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)],[132,449]),
    [iquote('0:SpR:132.0,449.0')] ).

cnf(11612,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,695]),
    [iquote('0:SpR:519.0,695.0')] ).

cnf(11503,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,618]),
    [iquote('0:SpR:648.0,618.0')] ).

cnf(11504,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,618]),
    [iquote('0:SpR:519.0,618.0')] ).

cnf(11484,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(codomain(b),compose(h,a))),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,607]),
    [iquote('0:SpR:648.0,607.0')] ).

cnf(2412,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(b,u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,264]),
    [iquote('0:SpR:501.0,264.0')] ).

cnf(11485,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(codomain(b),compose(g,a))),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,607]),
    [iquote('0:SpR:519.0,607.0')] ).

cnf(11466,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(domain__dfg(b),compose(h,a))),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,472]),
    [iquote('0:SpR:648.0,472.0')] ).

cnf(11467,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(domain__dfg(b),compose(g,a))),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,472]),
    [iquote('0:SpR:519.0,472.0')] ).

cnf(11445,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(domain__dfg(b),compose(h,a))),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,471]),
    [iquote('0:SpR:648.0,471.0')] ).

cnf(4172,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)],[9,454]),
    [iquote('0:SpR:9.0,454.0')] ).

cnf(11446,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(domain__dfg(b),compose(g,a))),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,471]),
    [iquote('0:SpR:519.0,471.0')] ).

cnf(10777,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(a),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,513]),
    [iquote('0:SpR:648.0,513.0')] ).

cnf(10778,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(a),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,513]),
    [iquote('0:SpR:519.0,513.0')] ).

cnf(6916,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,compose(a,b)),compose(codomain(b),g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[501,1989]),
    [iquote('0:SpR:501.0,1989.0')] ).

cnf(4180,plain,
    equal(ifeq(codomain(u),codomain(compose(h,u)),ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(u,codomain(compose(h,u)))),compose(h,u)),compose(h,u)),compose(h,u)),
    inference(spr,[status(thm),theory(equality)],[131,454]),
    [iquote('0:SpR:131.0,454.0')] ).

cnf(6896,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(rew,[status(thm),theory(equality)],[205,6873]),
    [iquote('0:Rew:205.0,6873.0')] ).

cnf(6738,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(domain__dfg(a),compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,441]),
    [iquote('0:SpR:205.0,441.0')] ).

cnf(6693,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,435]),
    [iquote('0:SpR:205.0,435.0')] ).

cnf(6641,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,1894]),
    [iquote('0:SpR:205.0,1894.0')] ).

cnf(4181,plain,
    equal(ifeq(codomain(u),codomain(compose(g,u)),ifeq(domain__dfg(a),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)],[132,454]),
    [iquote('0:SpR:132.0,454.0')] ).

cnf(6617,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(a),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,1887]),
    [iquote('0:SpR:205.0,1887.0')] ).

cnf(6550,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(domain__dfg(b),compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,443]),
    [iquote('0:SpR:205.0,443.0')] ).

cnf(6523,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(domain__dfg(a),compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,442]),
    [iquote('0:SpR:205.0,442.0')] ).

cnf(6102,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(domain__dfg(h),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[285,6019,1,2,519]),
    [iquote('0:Rew:285.0,6019.0,1.0,6019.0,2.0,6019.0,519.0,6019.0')] ).

cnf(4207,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)],[9,454]),
    [iquote('0:SpR:9.0,454.0')] ).

cnf(6101,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(domain__dfg(h),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[284,6020,1,2,648]),
    [iquote('0:Rew:284.0,6020.0,1.0,6020.0,2.0,6020.0,648.0,6020.0')] ).

cnf(6096,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(domain__dfg(b),compose(a,b))),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,6029,1,284,23]),
    [iquote('0:Rew:2.0,6029.0,1.0,6029.0,284.0,6029.0,23.0,6029.0')] ).

cnf(6095,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(domain__dfg(b),compose(a,b))),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[2,6030,1,285,23]),
    [iquote('0:Rew:2.0,6030.0,1.0,6030.0,285.0,6030.0,23.0,6030.0')] ).

cnf(6094,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(rew,[status(thm),theory(equality)],[25,6032,1,500,3]),
    [iquote('0:Rew:25.0,6032.0,1.0,6032.0,500.0,6032.0,3.0,6032.0')] ).

cnf(4215,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(u,h)),ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,codomain(compose(u,h)))),compose(u,h)),compose(u,h)),compose(u,h)),
    inference(spr,[status(thm),theory(equality)],[131,454]),
    [iquote('0:SpR:131.0,454.0')] ).

cnf(14768,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),v,ifeq(compose(codomain(u),a),v,codomain(u),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,312]),
    [iquote('0:SpR:25.0,312.0')] ).

cnf(14739,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),v,ifeq(compose(codomain(u),b),v,codomain(u),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,252]),
    [iquote('0:SpR:25.0,252.0')] ).

cnf(13803,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,13682]),
    [iquote('0:SpR:501.0,13682.0')] ).

cnf(13733,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),a),compose(domain__dfg(b),a),compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,13685]),
    [iquote('0:SpR:501.0,13685.0')] ).

cnf(4247,plain,
    equal(ifeq(domain__dfg(a),codomain(compose(u,g)),ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,codomain(compose(u,g)))),compose(u,g)),compose(u,g)),compose(u,g)),
    inference(rew,[status(thm),theory(equality)],[204,4216]),
    [iquote('0:Rew:204.0,4216.0')] ).

cnf(13505,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,8218]),
    [iquote('0:SpR:500.0,8218.0')] ).

cnf(13475,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,8216]),
    [iquote('0:SpR:500.0,8216.0')] ).

cnf(13451,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(compose(g,a),a),compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[285,2739]),
    [iquote('0:SpR:285.0,2739.0')] ).

cnf(13452,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(compose(a,b),a),compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,2739]),
    [iquote('0:SpR:500.0,2739.0')] ).

cnf(1986,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(codomain(u),compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,444]),
    [iquote('0:SpR:205.0,444.0')] ).

cnf(13427,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(compose(h,a),a),compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[284,2738]),
    [iquote('0:SpR:284.0,2738.0')] ).

cnf(13430,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(compose(a,b),a),compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,2738]),
    [iquote('0:SpR:500.0,2738.0')] ).

cnf(13407,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(compose(h,a),a),compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[285,2685]),
    [iquote('0:SpR:285.0,2685.0')] ).

cnf(13408,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),a),compose(compose(h,a),a),compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[500,2685]),
    [iquote('0:SpR:500.0,2685.0')] ).

cnf(1883,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(domain__dfg(u),compose(u,compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),compose(u,compose(h,compose(a,b)))),
    inference(spr,[status(thm),theory(equality)],[205,436]),
    [iquote('0:SpR:205.0,436.0')] ).

cnf(13341,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(compose(g,a),a),compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[284,2684]),
    [iquote('0:SpR:284.0,2684.0')] ).

cnf(13344,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),a),compose(compose(g,a),a),compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,2684]),
    [iquote('0:SpR:500.0,2684.0')] ).

cnf(13320,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,2642]),
    [iquote('0:SpR:500.0,2642.0')] ).

cnf(13293,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[500,2549]),
    [iquote('0:SpR:500.0,2549.0')] ).

cnf(5702,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)],[1,5600,2,133,23]),
    [iquote('0:Rew:1.0,5600.0,2.0,5600.0,133.0,5600.0,23.0,5600.0')] ).

cnf(12185,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(compose(h,a),a),compose(h,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[284,2737]),
    [iquote('0:SpR:284.0,2737.0')] ).

cnf(12187,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(compose(g,a),a),compose(g,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[285,2737]),
    [iquote('0:SpR:285.0,2737.0')] ).

cnf(12188,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(compose(a,b),a),compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[500,2737]),
    [iquote('0:SpR:500.0,2737.0')] ).

cnf(12051,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,a),a),a,compose(h,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[284,2683]),
    [iquote('0:SpR:284.0,2683.0')] ).

cnf(5701,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,compose(a,b))),compose(compose(domain__dfg(u),compose(g,a)),b)),compose(compose(domain__dfg(u),compose(g,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,5605,285,519]),
    [iquote('0:Rew:1.0,5605.0,285.0,5605.0,519.0,5605.0')] ).

cnf(12053,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(g,a),a),a,compose(g,a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[285,2683]),
    [iquote('0:SpR:285.0,2683.0')] ).

cnf(12054,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(a,b),a),a,compose(a,b),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[500,2683]),
    [iquote('0:SpR:500.0,2683.0')] ).

cnf(10708,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(domain__dfg(a),b),v,domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,3769]),
    [iquote('0:SpR:2.0,3769.0')] ).

cnf(10709,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(domain__dfg(a),b),v,domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,3769]),
    [iquote('0:SpR:25.0,3769.0')] ).

cnf(5493,plain,
    equal(ifeq(codomain(b),codomain(u),compose(compose(g,a),compose(b,codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[1,5379,285]),
    [iquote('0:Rew:1.0,5379.0,285.0,5379.0')] ).

cnf(10683,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(a,a),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2722]),
    [iquote('0:SpR:2.0,2722.0')] ).

cnf(10684,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(a,a),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2722]),
    [iquote('0:SpR:25.0,2722.0')] ).

cnf(10665,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(a,a),compose(domain__dfg(u),a),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2668]),
    [iquote('0:SpR:2.0,2668.0')] ).

cnf(10666,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(a,a),compose(codomain(u),a),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2668]),
    [iquote('0:SpR:25.0,2668.0')] ).

cnf(3127,plain,
    equal(ifeq(codomain(b),codomain(u),compose(g,compose(compose(a,b),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),compose(compose(h,compose(a,b)),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,515]),
    [iquote('0:SpR:3.0,515.0')] ).

cnf(10646,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(a,b),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2624]),
    [iquote('0:SpR:2.0,2624.0')] ).

cnf(10647,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(a,b),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2624]),
    [iquote('0:SpR:25.0,2624.0')] ).

cnf(10624,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(a,b),compose(domain__dfg(u),b),a,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2531]),
    [iquote('0:SpR:2.0,2531.0')] ).

cnf(10625,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(a,b),compose(codomain(u),b),a,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2531]),
    [iquote('0:SpR:25.0,2531.0')] ).

cnf(3128,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(g,compose(compose(a,b),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),compose(compose(h,compose(a,b)),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,515]),
    [iquote('0:SpR:23.0,515.0')] ).

cnf(13687,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,5262]),
    [iquote('0:SpR:2.0,5262.0')] ).

cnf(13688,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),v,ifeq(compose(codomain(u),a),v,codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,5262]),
    [iquote('0:SpR:25.0,5262.0')] ).

cnf(11422,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)],[23,11369]),
    [iquote('0:Rew:23.0,11369.0')] ).

cnf(11345,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)],[25,475]),
    [iquote('0:SpR:25.0,475.0')] ).

cnf(3088,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(h,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)],[2,480]),
    [iquote('0:SpR:2.0,480.0')] ).

cnf(5692,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)],[1,5590,2,23]),
    [iquote('0:Rew:1.0,5590.0,2.0,5590.0,23.0,5590.0')] ).

cnf(10231,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),b,domain__dfg(b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2638]),
    [iquote('0:SpR:2.0,2638.0')] ).

cnf(10232,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),b,domain__dfg(b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2638]),
    [iquote('0:SpR:25.0,2638.0')] ).

cnf(10212,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),ifeq(b,compose(domain__dfg(u),b),domain__dfg(b),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2545]),
    [iquote('0:SpR:2.0,2545.0')] ).

cnf(3089,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(h,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)],[25,480]),
    [iquote('0:SpR:25.0,480.0')] ).

cnf(10213,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(b,compose(codomain(u),b),domain__dfg(b),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2545]),
    [iquote('0:SpR:25.0,2545.0')] ).

cnf(8217,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(h,compose(a,b)),compose(h,a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[8155,2627]),
    [iquote('0:Rew:8155.0,2627.0')] ).

cnf(8215,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(u,b),compose(h,a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[8155,2534]),
    [iquote('0:Rew:8155.0,2534.0')] ).

cnf(2725,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(compose(h,a),a),compose(h,a),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[284,304]),
    [iquote('0:SpR:284.0,304.0')] ).

cnf(3670,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(a,a),u,a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,3657]),
    [iquote('0:Rew:2.0,3657.0')] ).

cnf(2727,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(compose(g,a),a),compose(g,a),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[285,304]),
    [iquote('0:SpR:285.0,304.0')] ).

cnf(2728,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(compose(a,b),a),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,304]),
    [iquote('0:SpR:500.0,304.0')] ).

cnf(2671,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(u,a),compose(h,a),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[284,306]),
    [iquote('0:SpR:284.0,306.0')] ).

cnf(2673,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(u,a),compose(g,a),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[285,306]),
    [iquote('0:SpR:285.0,306.0')] ).

cnf(6100,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(rew,[status(thm),theory(equality)],[500,6026,1,2,133]),
    [iquote('0:Rew:500.0,6026.0,1.0,6026.0,2.0,6026.0,133.0,6026.0')] ).

cnf(2674,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(u,a),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,306]),
    [iquote('0:SpR:500.0,306.0')] ).

cnf(2640,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(h,compose(a,b)),compose(g,a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[451,2629]),
    [iquote('0:Rew:451.0,2629.0')] ).

cnf(2630,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(compose(a,b),b),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,245]),
    [iquote('0:SpR:500.0,245.0')] ).

cnf(2547,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(u,b),compose(g,a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[451,2536]),
    [iquote('0:Rew:451.0,2536.0')] ).

cnf(316,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),w,ifeq(compose(codomain(u),a),w,codomain(u),v),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,10]),
    [iquote('0:SpR:25.0,10.0')] ).

cnf(2537,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(u,b),compose(a,b),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[500,247]),
    [iquote('0:SpR:500.0,247.0')] ).

cnf(2355,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),u),compose(compose(compose(h,a),domain__dfg(u)),u)),compose(compose(compose(h,a),domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[284,466]),
    [iquote('0:SpR:284.0,466.0')] ).

cnf(2357,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),u),compose(compose(compose(g,a),domain__dfg(u)),u)),compose(compose(compose(g,a),domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[285,466]),
    [iquote('0:SpR:285.0,466.0')] ).

cnf(2358,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)],[500,466]),
    [iquote('0:SpR:500.0,466.0')] ).

cnf(256,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),w,ifeq(compose(codomain(u),b),w,codomain(u),v),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,11]),
    [iquote('0:SpR:25.0,11.0')] ).

cnf(2251,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),u),compose(compose(compose(h,a),u),codomain(u))),compose(compose(compose(h,a),u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[284,460]),
    [iquote('0:SpR:284.0,460.0')] ).

cnf(2253,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),u),compose(compose(compose(g,a),u),codomain(u))),compose(compose(compose(g,a),u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[285,460]),
    [iquote('0:SpR:285.0,460.0')] ).

cnf(2254,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)],[500,460]),
    [iquote('0:SpR:500.0,460.0')] ).

cnf(9875,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(domain__dfg(u),compose(h,a))),compose(domain__dfg(u),compose(h,a))),compose(domain__dfg(u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,462]),
    [iquote('0:SpR:648.0,462.0')] ).

cnf(3927,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,315]),
    [iquote('0:SpR:131.0,315.0')] ).

cnf(9876,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(domain__dfg(u),compose(g,a))),compose(domain__dfg(u),compose(g,a))),compose(domain__dfg(u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,462]),
    [iquote('0:SpR:519.0,462.0')] ).

cnf(9811,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(codomain(u),compose(h,a))),compose(codomain(u),compose(h,a))),compose(codomain(u),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,461]),
    [iquote('0:SpR:648.0,461.0')] ).

cnf(9812,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(codomain(u),compose(g,a))),compose(codomain(u),compose(g,a))),compose(codomain(u),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,461]),
    [iquote('0:SpR:519.0,461.0')] ).

cnf(6086,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(rew,[status(thm),theory(equality)],[1,6016,2,23]),
    [iquote('0:Rew:1.0,6016.0,2.0,6016.0,23.0,6016.0')] ).

cnf(3800,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,255]),
    [iquote('0:SpR:131.0,255.0')] ).

cnf(10103,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(b),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[284,1984]),
    [iquote('0:SpR:284.0,1984.0')] ).

cnf(10105,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(b),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[285,1984]),
    [iquote('0:SpR:285.0,1984.0')] ).

cnf(10106,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)],[500,1984]),
    [iquote('0:SpR:500.0,1984.0')] ).

cnf(9976,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[648,9948]),
    [iquote('0:Rew:648.0,9948.0')] ).

cnf(3247,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,313]),
    [iquote('0:SpR:2.0,313.0')] ).

cnf(9975,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[519,9950]),
    [iquote('0:Rew:519.0,9950.0')] ).

cnf(9974,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)],[133,9951]),
    [iquote('0:Rew:133.0,9951.0')] ).

cnf(16380,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,a)),b)),compose(compose(h,compose(h,a)),b)),
    inference(spr,[status(thm),theory(equality)],[131,8410]),
    [iquote('0:SpR:131.0,8410.0')] ).

cnf(8410,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,compose(h,a)),b)),compose(compose(u,compose(h,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,8333,284,648]),
    [iquote('0:Rew:1.0,8333.0,284.0,8333.0,648.0,8333.0')] ).

cnf(3248,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),v,ifeq(compose(codomain(u),a),v,codomain(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,313]),
    [iquote('0:SpR:25.0,313.0')] ).

cnf(16333,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(h,a),compose(b,g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[204,8404]),
    [iquote('0:SpR:204.0,8404.0')] ).

cnf(8404,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(h,a),compose(b,u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[1,8366,284]),
    [iquote('0:Rew:1.0,8366.0,284.0,8366.0')] ).

cnf(5482,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(domain__dfg(h),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[285,5367,1,2,519]),
    [iquote('0:Rew:285.0,5367.0,1.0,5367.0,2.0,5367.0,519.0,5367.0')] ).

cnf(5481,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(domain__dfg(h),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[284,5368,1,2,648]),
    [iquote('0:Rew:284.0,5368.0,1.0,5368.0,2.0,5368.0,648.0,5368.0')] ).

cnf(3170,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,253]),
    [iquote('0:SpR:2.0,253.0')] ).

cnf(5475,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(compose(h,a),compose(domain__dfg(b),codomain(u))),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,5377,1,284,23]),
    [iquote('0:Rew:2.0,5377.0,1.0,5377.0,284.0,5377.0,23.0,5377.0')] ).

cnf(5474,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(compose(g,a),compose(domain__dfg(b),codomain(u))),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,5378,1,285,23]),
    [iquote('0:Rew:2.0,5378.0,1.0,5378.0,285.0,5378.0,23.0,5378.0')] ).

cnf(5473,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)],[25,5380,1,500,3]),
    [iquote('0:Rew:25.0,5380.0,1.0,5380.0,500.0,5380.0,3.0,5380.0')] ).

cnf(696,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,a)),compose(compose(u,domain__dfg(h)),compose(h,a))),compose(compose(u,domain__dfg(h)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[1,689,2,648,23]),
    [iquote('0:Rew:1.0,689.0,2.0,689.0,648.0,689.0,23.0,689.0')] ).

cnf(3171,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),v,ifeq(compose(codomain(u),b),v,codomain(u),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,253]),
    [iquote('0:SpR:25.0,253.0')] ).

cnf(662,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,a)),compose(compose(u,compose(h,a)),domain__dfg(b))),compose(compose(u,compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[648,486]),
    [iquote('0:Rew:648.0,486.0')] ).

cnf(619,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,a)),compose(compose(u,domain__dfg(h)),compose(g,a))),compose(compose(u,domain__dfg(h)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[1,612,2,519,23]),
    [iquote('0:Rew:1.0,612.0,2.0,612.0,519.0,612.0,23.0,612.0')] ).

cnf(608,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)],[1,600,500,3,133]),
    [iquote('0:Rew:1.0,600.0,500.0,600.0,3.0,600.0,133.0,600.0')] ).

cnf(523,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,a)),compose(compose(u,compose(g,a)),domain__dfg(b))),compose(compose(u,compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[519,485]),
    [iquote('0:Rew:519.0,485.0')] ).

cnf(2099,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,a),u,ifeq(compose(compose(h,compose(a,b)),a),u,compose(h,compose(a,b)),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,323]),
    [iquote('0:SpR:501.0,323.0')] ).

cnf(13396,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(domain__dfg(u),a),domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13377]),
    [iquote('0:Rew:1.0,13377.0')] ).

cnf(13395,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(domain__dfg(u),a),domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13379]),
    [iquote('0:Rew:1.0,13379.0')] ).

cnf(13279,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(codomain(u),a),codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13260]),
    [iquote('0:Rew:1.0,13260.0')] ).

cnf(13278,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(codomain(u),a),codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13262]),
    [iquote('0:Rew:1.0,13262.0')] ).

cnf(2060,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(compose(h,compose(a,b)),b),u,compose(h,compose(a,b)),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,262]),
    [iquote('0:SpR:501.0,262.0')] ).

cnf(13220,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),a),compose(compose(h,a),a),domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13201]),
    [iquote('0:Rew:1.0,13201.0')] ).

cnf(13219,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),a),compose(compose(g,a),a),domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13203]),
    [iquote('0:Rew:1.0,13203.0')] ).

cnf(13166,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),a),compose(compose(h,a),a),codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13147]),
    [iquote('0:Rew:1.0,13147.0')] ).

cnf(13165,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),a),compose(compose(g,a),a),codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13149]),
    [iquote('0:Rew:1.0,13149.0')] ).

cnf(2714,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),compose(u,a),u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,304]),
    [iquote('0:SpR:2.0,304.0')] ).

cnf(13116,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(domain__dfg(u),b),domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13096,8155]),
    [iquote('0:Rew:1.0,13096.0,8155.0,13096.0')] ).

cnf(13115,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(domain__dfg(u),b),domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13098,451]),
    [iquote('0:Rew:1.0,13098.0,451.0,13098.0')] ).

cnf(13063,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(codomain(u),b),codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13044,8155]),
    [iquote('0:Rew:1.0,13044.0,8155.0,13044.0')] ).

cnf(13062,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(codomain(u),b),codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13046,451]),
    [iquote('0:Rew:1.0,13046.0,451.0,13046.0')] ).

cnf(2715,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),a),compose(u,a),u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,304]),
    [iquote('0:SpR:25.0,304.0')] ).

cnf(13010,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),b),compose(h,compose(a,b)),domain__dfg(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,12990,8155]),
    [iquote('0:Rew:1.0,12990.0,8155.0,12990.0')] ).

cnf(13009,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),b),compose(h,compose(a,b)),domain__dfg(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,12992,451]),
    [iquote('0:Rew:1.0,12992.0,451.0,12992.0')] ).

cnf(12958,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),b),compose(h,compose(a,b)),codomain(u),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,12939,8155]),
    [iquote('0:Rew:1.0,12939.0,8155.0,12939.0')] ).

cnf(12957,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),b),compose(h,compose(a,b)),codomain(u),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,12941,451]),
    [iquote('0:Rew:1.0,12941.0,451.0,12941.0')] ).

cnf(2660,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(u,a),compose(domain__dfg(v),a),u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,306]),
    [iquote('0:SpR:2.0,306.0')] ).

cnf(12183,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(domain__dfg(u),a),domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,2737]),
    [iquote('0:SpR:2.0,2737.0')] ).

cnf(12184,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(codomain(u),a),codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,2737]),
    [iquote('0:SpR:25.0,2737.0')] ).

cnf(12049,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(u),a),a,domain__dfg(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,2683]),
    [iquote('0:SpR:2.0,2683.0')] ).

cnf(12050,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(codomain(u),a),a,codomain(u),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,2683]),
    [iquote('0:SpR:25.0,2683.0')] ).

cnf(2661,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(u,a),compose(codomain(v),a),u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,306]),
    [iquote('0:SpR:25.0,306.0')] ).

cnf(8204,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,u,ifeq(compose(h,compose(a,b)),u,compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[8155,2411]),
    [iquote('0:Rew:8155.0,2411.0')] ).

cnf(2420,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,u,ifeq(compose(h,compose(a,b)),u,compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[451,2413]),
    [iquote('0:Rew:451.0,2413.0')] ).

cnf(2414,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(b,u,ifeq(compose(compose(a,b),b),u,compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,264]),
    [iquote('0:SpR:500.0,264.0')] ).

cnf(14710,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),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)],[9,6081]),
    [iquote('0:SpR:9.0,6081.0')] ).

cnf(2616,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),compose(u,b),u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,245]),
    [iquote('0:SpR:2.0,245.0')] ).

cnf(14717,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,h),compose(a,b))),compose(compose(h,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[131,6081]),
    [iquote('0:SpR:131.0,6081.0')] ).

cnf(14718,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,h),compose(a,b))),compose(compose(g,h),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[132,6081]),
    [iquote('0:SpR:132.0,6081.0')] ).

cnf(14695,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(h,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[204,5945]),
    [iquote('0:SpR:204.0,5945.0')] ).

cnf(14632,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(g,a)),b)),compose(compose(h,compose(g,a)),b)),
    inference(spr,[status(thm),theory(equality)],[131,529]),
    [iquote('0:SpR:131.0,529.0')] ).

cnf(2617,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(v),b),compose(u,b),u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,245]),
    [iquote('0:SpR:25.0,245.0')] ).

cnf(14612,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(g,a),compose(b,g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[204,526]),
    [iquote('0:SpR:204.0,526.0')] ).

cnf(10799,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(compose(a,b),b),domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,10705]),
    [iquote('0:SpR:500.0,10705.0')] ).

cnf(10746,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(domain__dfg(a),b),domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,10699]),
    [iquote('0:SpR:500.0,10699.0')] ).

cnf(10478,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(compose(h,a),a),compose(h,a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[284,2720]),
    [iquote('0:SpR:284.0,2720.0')] ).

cnf(2523,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(u,b),compose(domain__dfg(v),b),u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,247]),
    [iquote('0:SpR:2.0,247.0')] ).

cnf(10480,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(compose(g,a),a),compose(g,a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[285,2720]),
    [iquote('0:SpR:285.0,2720.0')] ).

cnf(10481,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(compose(a,b),a),compose(a,b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,2720]),
    [iquote('0:SpR:500.0,2720.0')] ).

cnf(10459,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(compose(h,a),a),compose(h,a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[284,2721]),
    [iquote('0:SpR:284.0,2721.0')] ).

cnf(10461,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(compose(g,a),a),compose(g,a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[285,2721]),
    [iquote('0:SpR:285.0,2721.0')] ).

cnf(2524,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(u,b),compose(codomain(v),b),u,codomain(v)),codomain(v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,247]),
    [iquote('0:SpR:25.0,247.0')] ).

cnf(10462,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(compose(a,b),a),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,2721]),
    [iquote('0:SpR:500.0,2721.0')] ).

cnf(10439,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(h,a),compose(h,a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[284,2666]),
    [iquote('0:SpR:284.0,2666.0')] ).

cnf(10441,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(h,a),compose(g,a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[285,2666]),
    [iquote('0:SpR:285.0,2666.0')] ).

cnf(10442,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(h,a),compose(a,b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,2666]),
    [iquote('0:SpR:500.0,2666.0')] ).

cnf(5691,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)],[1,5597,25,3]),
    [iquote('0:Rew:1.0,5597.0,25.0,5597.0,3.0,5597.0')] ).

cnf(10420,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(h,a),a),compose(g,a),compose(h,a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[284,2667]),
    [iquote('0:SpR:284.0,2667.0')] ).

cnf(10422,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(g,a),a),compose(g,a),compose(g,a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[285,2667]),
    [iquote('0:SpR:285.0,2667.0')] ).

cnf(10423,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(g,a),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,2667]),
    [iquote('0:SpR:500.0,2667.0')] ).

cnf(10409,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(h,compose(a,b)),compose(h,a),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[8155,10397]),
    [iquote('0:Rew:8155.0,10397.0')] ).

cnf(6085,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(rew,[status(thm),theory(equality)],[1,6023,25,3]),
    [iquote('0:Rew:1.0,6023.0,25.0,6023.0,3.0,6023.0')] ).

cnf(10408,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(h,compose(a,b)),compose(g,a),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[451,10399]),
    [iquote('0:Rew:451.0,10399.0')] ).

cnf(10400,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(compose(a,b),b),compose(a,b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,2622]),
    [iquote('0:SpR:500.0,2622.0')] ).

cnf(10382,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(h,compose(a,b)),compose(h,a),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[8155,10370]),
    [iquote('0:Rew:8155.0,10370.0')] ).

cnf(10381,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(h,compose(a,b)),compose(g,a),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[451,10372]),
    [iquote('0:Rew:451.0,10372.0')] ).

cnf(312,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),v,ifeq(compose(u,a),v,u,h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,10]),
    [iquote('0:SpR:131.0,10.0')] ).

cnf(10373,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(compose(a,b),b),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,2623]),
    [iquote('0:SpR:500.0,2623.0')] ).

cnf(10357,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(h,b),compose(h,a),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[8155,10345]),
    [iquote('0:Rew:8155.0,10345.0')] ).

cnf(10356,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(h,b),compose(g,a),h),h),h),h),
    inference(rew,[status(thm),theory(equality)],[451,10347]),
    [iquote('0:Rew:451.0,10347.0')] ).

cnf(10348,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(h,b),compose(a,b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[500,2529]),
    [iquote('0:SpR:500.0,2529.0')] ).

cnf(252,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),v,ifeq(compose(u,b),v,u,h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,11]),
    [iquote('0:SpR:131.0,11.0')] ).

cnf(10316,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(g,b),compose(h,a),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[8155,10304]),
    [iquote('0:Rew:8155.0,10304.0')] ).

cnf(10315,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,compose(a,b)),compose(g,b),compose(g,a),g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[451,10306]),
    [iquote('0:Rew:451.0,10306.0')] ).

cnf(10307,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(g,b),compose(a,b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[500,2530]),
    [iquote('0:SpR:500.0,2530.0')] ).

cnf(9380,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,a)),compose(compose(h,domain__dfg(h)),compose(h,a))),compose(compose(h,domain__dfg(h)),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,2359]),
    [iquote('0:SpR:648.0,2359.0')] ).

cnf(6081,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,h),compose(a,b))),compose(compose(u,h),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,6066]),
    [iquote('0:Rew:1.0,6066.0')] ).

cnf(9381,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,a)),compose(compose(h,domain__dfg(h)),compose(g,a))),compose(compose(h,domain__dfg(h)),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,2359]),
    [iquote('0:SpR:519.0,2359.0')] ).

cnf(8927,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,a)),compose(compose(h,compose(h,a)),domain__dfg(b))),compose(compose(h,compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[648,8896]),
    [iquote('0:Rew:648.0,8896.0')] ).

cnf(8926,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,a)),compose(compose(h,compose(g,a)),domain__dfg(b))),compose(compose(h,compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[519,8898]),
    [iquote('0:Rew:519.0,8898.0')] ).

cnf(8481,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)],[133,4991]),
    [iquote('0:SpR:133.0,4991.0')] ).

cnf(5945,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(h,compose(compose(a,b),u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[1,5930]),
    [iquote('0:Rew:1.0,5930.0')] ).

cnf(8483,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(a,compose(b,compose(h,a))),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4991]),
    [iquote('0:SpR:648.0,4991.0')] ).

cnf(8484,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(a,compose(b,compose(g,a))),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4991]),
    [iquote('0:SpR:519.0,4991.0')] ).

cnf(8462,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(h,compose(a,compose(a,b))),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[133,4640]),
    [iquote('0:SpR:133.0,4640.0')] ).

cnf(8464,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(h,compose(a,compose(h,a))),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4640]),
    [iquote('0:SpR:648.0,4640.0')] ).

cnf(5480,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)],[500,5374,1,2,133]),
    [iquote('0:Rew:500.0,5374.0,1.0,5374.0,2.0,5374.0,133.0,5374.0')] ).

cnf(8465,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(h,compose(a,compose(g,a))),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4640]),
    [iquote('0:SpR:519.0,4640.0')] ).

cnf(8435,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(g,compose(a,compose(a,b))),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[133,4639]),
    [iquote('0:SpR:133.0,4639.0')] ).

cnf(8437,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(g,compose(a,compose(h,a))),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,4639]),
    [iquote('0:SpR:648.0,4639.0')] ).

cnf(8438,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(g,compose(a,compose(g,a))),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,4639]),
    [iquote('0:SpR:519.0,4639.0')] ).

cnf(529,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,compose(g,a)),b)),compose(compose(u,compose(g,a)),b)),
    inference(rew,[status(thm),theory(equality)],[519,528]),
    [iquote('0:Rew:519.0,528.0')] ).

cnf(8409,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,a)),b)),compose(compose(g,compose(h,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,8338,284,648]),
    [iquote('0:Rew:1.0,8338.0,284.0,8338.0,648.0,8338.0')] ).

cnf(8408,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,a)),b)),compose(compose(a,compose(h,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,8339,284,648]),
    [iquote('0:Rew:1.0,8339.0,284.0,8339.0,648.0,8339.0')] ).

cnf(8146,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),a),b)),compose(compose(compose(h,a),a),b)),
    inference(spr,[status(thm),theory(equality)],[284,4598]),
    [iquote('0:SpR:284.0,4598.0')] ).

cnf(8148,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),a),b)),compose(compose(compose(g,a),a),b)),
    inference(spr,[status(thm),theory(equality)],[285,4598]),
    [iquote('0:SpR:285.0,4598.0')] ).

cnf(526,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(compose(g,a),compose(b,u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[1,497,285]),
    [iquote('0:Rew:1.0,497.0,285.0,497.0')] ).

cnf(8149,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)],[500,4598]),
    [iquote('0:SpR:500.0,4598.0')] ).

cnf(8123,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),g),a)),compose(compose(compose(h,a),g),a)),
    inference(spr,[status(thm),theory(equality)],[284,4429]),
    [iquote('0:SpR:284.0,4429.0')] ).

cnf(8125,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),g),a)),compose(compose(compose(g,a),g),a)),
    inference(spr,[status(thm),theory(equality)],[285,4429]),
    [iquote('0:SpR:285.0,4429.0')] ).

cnf(8126,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),g),a)),compose(compose(compose(a,b),g),a)),
    inference(spr,[status(thm),theory(equality)],[500,4429]),
    [iquote('0:SpR:500.0,4429.0')] ).

cnf(484,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)],[1,398,2,133,23]),
    [iquote('0:Rew:1.0,398.0,2.0,398.0,133.0,398.0,23.0,398.0')] ).

cnf(8102,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),g),compose(compose(compose(h,a),domain__dfg(h)),g)),compose(compose(compose(h,a),domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[284,465]),
    [iquote('0:SpR:284.0,465.0')] ).

cnf(8104,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),g),compose(compose(compose(g,a),domain__dfg(h)),g)),compose(compose(compose(g,a),domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[285,465]),
    [iquote('0:SpR:285.0,465.0')] ).

cnf(8105,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),g),compose(compose(compose(a,b),domain__dfg(h)),g)),compose(compose(compose(a,b),domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[500,465]),
    [iquote('0:SpR:500.0,465.0')] ).

cnf(8081,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(h,a),a),compose(compose(compose(h,a),a),domain__dfg(b))),compose(compose(compose(h,a),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[284,459]),
    [iquote('0:SpR:284.0,459.0')] ).

cnf(3667,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(a,a),u,a,h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,314]),
    [iquote('0:SpR:131.0,314.0')] ).

cnf(8083,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(compose(g,a),a),compose(compose(compose(g,a),a),domain__dfg(b))),compose(compose(compose(g,a),a),domain__dfg(b))),
    inference(spr,[status(thm),theory(equality)],[285,459]),
    [iquote('0:SpR:285.0,459.0')] ).

cnf(8084,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)],[500,459]),
    [iquote('0:SpR:500.0,459.0')] ).

cnf(8061,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),g),compose(compose(compose(h,a),g),domain__dfg(a))),compose(compose(compose(h,a),g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[284,458]),
    [iquote('0:SpR:284.0,458.0')] ).

cnf(8063,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),g),compose(compose(compose(g,a),g),domain__dfg(a))),compose(compose(compose(g,a),g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[285,458]),
    [iquote('0:SpR:285.0,458.0')] ).

cnf(3474,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(a,b),u,a,h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,254]),
    [iquote('0:SpR:131.0,254.0')] ).

cnf(8064,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),g),compose(compose(compose(a,b),g),domain__dfg(a))),compose(compose(compose(a,b),g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[500,458]),
    [iquote('0:SpR:500.0,458.0')] ).

cnf(8043,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),h),compose(compose(compose(h,a),h),domain__dfg(a))),compose(compose(compose(h,a),h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[284,457]),
    [iquote('0:SpR:284.0,457.0')] ).

cnf(8045,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),h),compose(compose(compose(g,a),h),domain__dfg(a))),compose(compose(compose(g,a),h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[285,457]),
    [iquote('0:SpR:285.0,457.0')] ).

cnf(8046,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),h),compose(compose(compose(a,b),h),domain__dfg(a))),compose(compose(compose(a,b),h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[500,457]),
    [iquote('0:SpR:500.0,457.0')] ).

cnf(3246,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(a,a),u,a,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,313]),
    [iquote('0:SpR:9.0,313.0')] ).

cnf(5045,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,a)),compose(compose(a,compose(h,a)),domain__dfg(b))),compose(compose(a,compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,4977,284,23,648]),
    [iquote('0:Rew:1.0,4977.0,284.0,4977.0,23.0,4977.0,648.0,4977.0')] ).

cnf(5044,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,a)),compose(compose(a,compose(g,a)),domain__dfg(b))),compose(compose(a,compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,4978,285,23,519]),
    [iquote('0:Rew:1.0,4978.0,285.0,4978.0,23.0,4978.0,519.0,4978.0')] ).

cnf(5043,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)],[1,4980,500,3,133]),
    [iquote('0:Rew:1.0,4980.0,500.0,4980.0,3.0,4980.0,133.0,4980.0')] ).

cnf(5042,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,a)),compose(compose(a,domain__dfg(h)),compose(g,a))),compose(compose(a,domain__dfg(h)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[1,4967,2,519,23]),
    [iquote('0:Rew:1.0,4967.0,2.0,4967.0,519.0,4967.0,23.0,4967.0')] ).

cnf(3169,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(a,b),u,a,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,253]),
    [iquote('0:SpR:9.0,253.0')] ).

cnf(5041,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,a)),compose(compose(a,domain__dfg(h)),compose(h,a))),compose(compose(a,domain__dfg(h)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[1,4968,2,648,23]),
    [iquote('0:Rew:1.0,4968.0,2.0,4968.0,648.0,4968.0,23.0,4968.0')] ).

cnf(5040,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)],[1,4974,2,133,23]),
    [iquote('0:Rew:1.0,4974.0,2.0,4974.0,133.0,4974.0,23.0,4974.0')] ).

cnf(4885,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,a)),compose(compose(g,compose(h,a)),domain__dfg(b))),compose(compose(g,compose(h,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,4809,284,23,648]),
    [iquote('0:Rew:1.0,4809.0,284.0,4809.0,23.0,4809.0,648.0,4809.0')] ).

cnf(4884,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,a)),compose(compose(g,compose(g,a)),domain__dfg(b))),compose(compose(g,compose(g,a)),domain__dfg(b))),
    inference(rew,[status(thm),theory(equality)],[1,4810,285,23,519]),
    [iquote('0:Rew:1.0,4810.0,285.0,4810.0,23.0,4810.0,519.0,4810.0')] ).

cnf(5039,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(g,a)),b)),compose(compose(a,compose(g,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,4979,285,519]),
    [iquote('0:Rew:1.0,4979.0,285.0,4979.0,519.0,4979.0')] ).

cnf(4882,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,a)),compose(compose(g,domain__dfg(h)),compose(g,a))),compose(compose(g,domain__dfg(h)),compose(g,a))),
    inference(rew,[status(thm),theory(equality)],[1,4799,2,519,23]),
    [iquote('0:Rew:1.0,4799.0,2.0,4799.0,519.0,4799.0,23.0,4799.0')] ).

cnf(4881,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,a)),compose(compose(g,domain__dfg(h)),compose(h,a))),compose(compose(g,domain__dfg(h)),compose(h,a))),
    inference(rew,[status(thm),theory(equality)],[1,4800,2,648,23]),
    [iquote('0:Rew:1.0,4800.0,2.0,4800.0,648.0,4800.0,23.0,4800.0')] ).

cnf(4877,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(g,a)),b)),compose(compose(g,compose(g,a)),b)),
    inference(rew,[status(thm),theory(equality)],[1,4811,285,519]),
    [iquote('0:Rew:1.0,4811.0,285.0,4811.0,519.0,4811.0')] ).

cnf(3134,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(g,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)),
    inference(spr,[status(thm),theory(equality)],[204,515]),
    [iquote('0:SpR:204.0,515.0')] ).

cnf(3087,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(h,compose(a,b))),compose(compose(a,g),compose(a,b))),compose(compose(a,g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[9,480]),
    [iquote('0:SpR:9.0,480.0')] ).

cnf(3095,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(h,compose(a,b))),compose(compose(h,g),compose(a,b))),compose(compose(h,g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[131,480]),
    [iquote('0:SpR:131.0,480.0')] ).

cnf(9758,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(h,a),v,h,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,322]),
    [iquote('0:SpR:25.0,322.0')] ).

cnf(9646,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(h,b),v,h,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,261]),
    [iquote('0:SpR:25.0,261.0')] ).

cnf(13686,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),u,ifeq(compose(a,a),u,a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,5262]),
    [iquote('0:SpR:9.0,5262.0')] ).

cnf(3096,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(h,compose(a,b))),compose(compose(g,g),compose(a,b))),compose(compose(g,g),compose(a,b))),
    inference(spr,[status(thm),theory(equality)],[132,480]),
    [iquote('0:SpR:132.0,480.0')] ).

cnf(6451,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),b),b,compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,2407]),
    [iquote('0:SpR:501.0,2407.0')] ).

cnf(6425,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(b,compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,2406]),
    [iquote('0:SpR:501.0,2406.0')] ).

cnf(10476,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(domain__dfg(u),a),domain__dfg(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[2,2720]),
    [iquote('0:SpR:2.0,2720.0')] ).

cnf(10477,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(codomain(u),a),codomain(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,2720]),
    [iquote('0:SpR:25.0,2720.0')] ).

cnf(5274,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(h,a),v,h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[1,5271]),
    [iquote('0:Rew:1.0,5271.0')] ).

cnf(10457,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(domain__dfg(u),a),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,2721]),
    [iquote('0:SpR:2.0,2721.0')] ).

cnf(10458,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(codomain(u),a),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,2721]),
    [iquote('0:SpR:25.0,2721.0')] ).

cnf(10437,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(h,a),domain__dfg(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[2,2666]),
    [iquote('0:SpR:2.0,2666.0')] ).

cnf(10438,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(codomain(u),a),compose(h,a),codomain(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,2666]),
    [iquote('0:SpR:25.0,2666.0')] ).

cnf(5165,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(h,b),v,h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[1,5158]),
    [iquote('0:Rew:1.0,5158.0')] ).

cnf(10418,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(g,a),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,2667]),
    [iquote('0:SpR:2.0,2667.0')] ).

cnf(10419,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(codomain(u),a),compose(g,a),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,2667]),
    [iquote('0:SpR:25.0,2667.0')] ).

cnf(10395,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(domain__dfg(u),b),domain__dfg(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[2,2622]),
    [iquote('0:SpR:2.0,2622.0')] ).

cnf(10396,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(codomain(u),b),codomain(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,2622]),
    [iquote('0:SpR:25.0,2622.0')] ).

cnf(2175,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(compose(g,a),v,g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,321]),
    [iquote('0:SpR:2.0,321.0')] ).

cnf(13802,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(compose(h,a),a),compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,13682]),
    [iquote('0:SpR:284.0,13682.0')] ).

cnf(13804,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(compose(g,a),a),compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,13682]),
    [iquote('0:SpR:285.0,13682.0')] ).

cnf(13805,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(compose(a,b),a),compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,13682]),
    [iquote('0:SpR:500.0,13682.0')] ).

cnf(13732,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(domain__dfg(b),a),compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,13685]),
    [iquote('0:SpR:284.0,13685.0')] ).

cnf(2176,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(compose(g,a),v,g,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,321]),
    [iquote('0:SpR:25.0,321.0')] ).

cnf(13734,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(domain__dfg(b),a),compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,13685]),
    [iquote('0:SpR:285.0,13685.0')] ).

cnf(13735,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),a),compose(domain__dfg(b),a),compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,13685]),
    [iquote('0:SpR:500.0,13685.0')] ).

cnf(13800,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(domain__dfg(u),a),domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,13682]),
    [iquote('0:SpR:2.0,13682.0')] ).

cnf(13801,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(codomain(u),a),codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,13682]),
    [iquote('0:SpR:25.0,13682.0')] ).

cnf(2136,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),v,ifeq(compose(g,b),v,g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,260]),
    [iquote('0:SpR:2.0,260.0')] ).

cnf(13730,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),a),compose(domain__dfg(b),a),domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,13685]),
    [iquote('0:SpR:2.0,13685.0')] ).

cnf(13731,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),a),compose(domain__dfg(b),a),codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,13685]),
    [iquote('0:SpR:25.0,13685.0')] ).

cnf(13799,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(a,a),a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,13682]),
    [iquote('0:SpR:9.0,13682.0')] ).

cnf(13682,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),compose(u,a),u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,5262]),
    [iquote('0:SpR:1.0,5262.0')] ).

cnf(2137,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),v,ifeq(compose(g,b),v,g,codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,260]),
    [iquote('0:SpR:25.0,260.0')] ).

cnf(13729,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),compose(domain__dfg(b),a),a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,13685]),
    [iquote('0:SpR:9.0,13685.0')] ).

cnf(13685,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,a),compose(domain__dfg(b),a),u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,5262]),
    [iquote('0:SpR:1.0,5262.0')] ).

cnf(13698,plain,
    equal(ifeq(compose(domain__dfg(b),a),u,ifeq(compose(h,a),u,h,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,13693]),
    [iquote('0:Rew:1.0,13693.0')] ).

cnf(13697,plain,
    equal(ifeq(compose(domain__dfg(b),a),u,ifeq(compose(g,a),u,g,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,13694]),
    [iquote('0:Rew:1.0,13694.0')] ).

cnf(5262,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(domain__dfg(b),a),v,ifeq(compose(u,a),v,u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,308]),
    [iquote('0:SpR:1.0,308.0')] ).

cnf(10368,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(domain__dfg(u),b),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,2623]),
    [iquote('0:SpR:2.0,2623.0')] ).

cnf(10369,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(codomain(u),b),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,2623]),
    [iquote('0:SpR:25.0,2623.0')] ).

cnf(10343,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(h,b),domain__dfg(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[2,2529]),
    [iquote('0:SpR:2.0,2529.0')] ).

cnf(10344,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(codomain(u),b),compose(h,b),codomain(u),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[25,2529]),
    [iquote('0:SpR:25.0,2529.0')] ).

cnf(2915,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(b,u,domain__dfg(b),h),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,263]),
    [iquote('0:SpR:131.0,263.0')] ).

cnf(10302,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(g,b),domain__dfg(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[2,2530]),
    [iquote('0:SpR:2.0,2530.0')] ).

cnf(10303,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(codomain(u),b),compose(g,b),codomain(u),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[25,2530]),
    [iquote('0:SpR:25.0,2530.0')] ).

cnf(8218,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(u,b),u,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,2643]),
    [iquote('0:Rew:8155.0,2643.0')] ).

cnf(13484,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(g,a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,13474,451]),
    [iquote('0:Rew:1.0,13474.0,451.0,13474.0')] ).

cnf(2916,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(b,u,domain__dfg(b),g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,263]),
    [iquote('0:SpR:132.0,263.0')] ).

cnf(8216,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,b),compose(h,compose(a,b)),u,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,2550]),
    [iquote('0:Rew:8155.0,2550.0')] ).

cnf(2739,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(u,a),u,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,2716]),
    [iquote('0:Rew:1.0,2716.0')] ).

cnf(2738,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(u,a),u,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2718]),
    [iquote('0:Rew:1.0,2718.0')] ).

cnf(2685,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,a),compose(compose(h,a),a),u,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,2662]),
    [iquote('0:Rew:1.0,2662.0')] ).

cnf(2723,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),compose(domain__dfg(u),a),domain__dfg(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,304]),
    [iquote('0:SpR:2.0,304.0')] ).

cnf(2684,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,a),compose(compose(g,a),a),u,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2664]),
    [iquote('0:Rew:1.0,2664.0')] ).

cnf(2642,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(u,b),u,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2620,451]),
    [iquote('0:Rew:1.0,2620.0,451.0,2620.0')] ).

cnf(13303,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(h,a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,13290,8155]),
    [iquote('0:Rew:1.0,13290.0,8155.0,13290.0')] ).

cnf(2549,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,b),compose(h,compose(a,b)),u,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2527,451]),
    [iquote('0:Rew:1.0,2527.0,451.0,2527.0')] ).

cnf(2724,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),compose(codomain(u),a),codomain(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,304]),
    [iquote('0:SpR:25.0,304.0')] ).

cnf(10723,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10710,8155]),
    [iquote('0:Rew:1.0,10710.0,8155.0,10710.0')] ).

cnf(10722,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10712,451]),
    [iquote('0:Rew:1.0,10712.0,451.0,10712.0')] ).

cnf(8202,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(h,compose(a,b)),u,compose(h,a),a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[8155,2059]),
    [iquote('0:Rew:8155.0,2059.0')] ).

cnf(2098,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),u,ifeq(compose(compose(h,a),a),u,compose(h,a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[284,323]),
    [iquote('0:SpR:284.0,323.0')] ).

cnf(2669,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(v,a),domain__dfg(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,306]),
    [iquote('0:SpR:2.0,306.0')] ).

cnf(2100,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),u,ifeq(compose(compose(g,a),a),u,compose(g,a),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[285,323]),
    [iquote('0:SpR:285.0,323.0')] ).

cnf(2101,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,a),u,ifeq(compose(compose(a,b),a),u,compose(a,b),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,323]),
    [iquote('0:SpR:500.0,323.0')] ).

cnf(2068,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(h,compose(a,b)),u,compose(g,a),a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[451,2061]),
    [iquote('0:Rew:451.0,2061.0')] ).

cnf(2062,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(compose(a,b),b),u,compose(a,b),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,262]),
    [iquote('0:SpR:500.0,262.0')] ).

cnf(2670,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(u),a),compose(v,a),codomain(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,306]),
    [iquote('0:SpR:25.0,306.0')] ).

cnf(10695,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(a,a),a,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10685]),
    [iquote('0:Rew:1.0,10685.0')] ).

cnf(10694,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(a,a),a,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10687]),
    [iquote('0:Rew:1.0,10687.0')] ).

cnf(10693,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(a,a),a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,10680]),
    [iquote('0:Rew:2.0,10680.0')] ).

cnf(10677,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(h,a),a),a,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10667]),
    [iquote('0:Rew:1.0,10667.0')] ).

cnf(2625,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),compose(domain__dfg(u),b),domain__dfg(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,245]),
    [iquote('0:SpR:2.0,245.0')] ).

cnf(10676,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(g,a),a),a,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10669]),
    [iquote('0:Rew:1.0,10669.0')] ).

cnf(10675,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(a,a),a,a,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,10662]),
    [iquote('0:Rew:2.0,10662.0')] ).

cnf(10658,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10648,8155]),
    [iquote('0:Rew:1.0,10648.0,8155.0,10648.0')] ).

cnf(10657,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10650,451]),
    [iquote('0:Rew:1.0,10650.0,451.0,10650.0')] ).

cnf(2626,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),compose(codomain(u),b),codomain(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,245]),
    [iquote('0:SpR:25.0,245.0')] ).

cnf(10636,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10626,8155]),
    [iquote('0:Rew:1.0,10626.0,8155.0,10626.0')] ).

cnf(10635,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10628,451]),
    [iquote('0:Rew:1.0,10628.0,451.0,10628.0')] ).

cnf(5975,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(h,a),h,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2734]),
    [iquote('0:SpR:500.0,2734.0')] ).

cnf(5887,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,a),compose(compose(a,b),a),h,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2680]),
    [iquote('0:SpR:500.0,2680.0')] ).

cnf(2532,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(v,b),domain__dfg(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,247]),
    [iquote('0:SpR:2.0,247.0')] ).

cnf(5741,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(h,b),h,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2636]),
    [iquote('0:SpR:500.0,2636.0')] ).

cnf(5534,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(h,b),compose(compose(a,b),b),h,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2543]),
    [iquote('0:SpR:500.0,2543.0')] ).

cnf(5294,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(g,a),compose(compose(a,b),a),g,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2172]),
    [iquote('0:SpR:500.0,2172.0')] ).

cnf(5190,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),compose(g,a),g,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2169]),
    [iquote('0:SpR:500.0,2169.0')] ).

cnf(2533,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(codomain(u),b),compose(v,b),codomain(u),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[25,247]),
    [iquote('0:SpR:25.0,247.0')] ).

cnf(5073,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(g,b),compose(compose(a,b),b),g,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2133]),
    [iquote('0:SpR:500.0,2133.0')] ).

cnf(4938,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),b),compose(g,b),g,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2129]),
    [iquote('0:SpR:500.0,2129.0')] ).

cnf(4333,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),a),compose(a,a),compose(h,compose(a,b)),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,2094]),
    [iquote('0:SpR:501.0,2094.0')] ).

cnf(12861,plain,
    equal(ifeq(compose(domain__dfg(b),a),u,ifeq(a,u,domain__dfg(a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2028,1]),
    [iquote('0:SpR:2028.0,1.0')] ).

cnf(2028,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),v,ifeq(a,v,domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,324]),
    [iquote('0:SpR:2.0,324.0')] ).

cnf(4085,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,2093]),
    [iquote('0:SpR:501.0,2093.0')] ).

cnf(4060,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(h,compose(a,b)),b),compose(a,b),compose(h,compose(a,b)),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,2055]),
    [iquote('0:SpR:501.0,2055.0')] ).

cnf(4016,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),a),a),a),
    inference(spr,[status(thm),theory(equality)],[501,2054]),
    [iquote('0:SpR:501.0,2054.0')] ).

cnf(476,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)],[1,391,2,23]),
    [iquote('0:Rew:1.0,391.0,2.0,391.0,23.0,391.0')] ).

cnf(2029,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),v,ifeq(a,v,domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,324]),
    [iquote('0:SpR:25.0,324.0')] ).

cnf(9872,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)],[23,462]),
    [iquote('0:SpR:23.0,462.0')] ).

cnf(9808,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)],[23,461]),
    [iquote('0:SpR:23.0,461.0')] ).

cnf(5463,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)],[1,5364,2,23]),
    [iquote('0:Rew:1.0,5364.0,2.0,5364.0,23.0,5364.0')] ).

cnf(8922,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(h,domain__dfg(u)),compose(compose(h,domain__dfg(u)),domain__dfg(u))),compose(compose(h,domain__dfg(u)),domain__dfg(u))),
    inference(rew,[status(thm),theory(equality)],[23,8894]),
    [iquote('0:Rew:23.0,8894.0')] ).

cnf(2409,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(b,v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,264]),
    [iquote('0:SpR:2.0,264.0')] ).

cnf(8921,plain,
    equal(ifeq(domain__dfg(a),codomain(u),compose(h,codomain(u)),compose(compose(h,codomain(u)),codomain(u))),compose(compose(h,codomain(u)),codomain(u))),
    inference(rew,[status(thm),theory(equality)],[3,8895]),
    [iquote('0:Rew:3.0,8895.0')] ).

cnf(5031,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)],[1,4964,2,23]),
    [iquote('0:Rew:1.0,4964.0,2.0,4964.0,23.0,4964.0')] ).

cnf(4869,plain,
    equal(ifeq(domain__dfg(a),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)],[1,4796,2,23]),
    [iquote('0:Rew:1.0,4796.0,2.0,4796.0,23.0,4796.0')] ).

cnf(1987,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(codomain(u),compose(h,a))),compose(u,compose(h,a))),compose(u,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,444]),
    [iquote('0:SpR:648.0,444.0')] ).

cnf(2410,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(b,v,ifeq(compose(codomain(u),b),v,codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,264]),
    [iquote('0:SpR:25.0,264.0')] ).

cnf(1988,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(codomain(u),compose(g,a))),compose(u,compose(g,a))),compose(u,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,444]),
    [iquote('0:SpR:519.0,444.0')] ).

cnf(1884,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(domain__dfg(u),compose(u,compose(h,a))),compose(u,compose(h,a))),compose(u,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,436]),
    [iquote('0:SpR:648.0,436.0')] ).

cnf(1885,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(domain__dfg(u),compose(u,compose(g,a))),compose(u,compose(g,a))),compose(u,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,436]),
    [iquote('0:SpR:519.0,436.0')] ).

cnf(8479,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)],[3,4991]),
    [iquote('0:SpR:3.0,4991.0')] ).

cnf(2737,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(u,a),u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,2709]),
    [iquote('0:Rew:2.0,2709.0')] ).

cnf(8480,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)],[23,4991]),
    [iquote('0:SpR:23.0,4991.0')] ).

cnf(8460,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(h,compose(a,codomain(u))),compose(compose(h,a),codomain(u))),compose(compose(h,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,4640]),
    [iquote('0:SpR:3.0,4640.0')] ).

cnf(8461,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(h,compose(a,domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),compose(compose(h,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,4640]),
    [iquote('0:SpR:23.0,4640.0')] ).

cnf(8433,plain,
    equal(ifeq(domain__dfg(b),codomain(u),compose(g,compose(a,codomain(u))),compose(compose(g,a),codomain(u))),compose(compose(g,a),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,4639]),
    [iquote('0:SpR:3.0,4639.0')] ).

cnf(2683,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(u,a),a,u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,2654]),
    [iquote('0:Rew:2.0,2654.0')] ).

cnf(8434,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(g,compose(a,domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),compose(compose(g,a),domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,4639]),
    [iquote('0:SpR:23.0,4639.0')] ).

cnf(8144,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)],[2,4598]),
    [iquote('0:SpR:2.0,4598.0')] ).

cnf(8145,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)],[25,4598]),
    [iquote('0:SpR:25.0,4598.0')] ).

cnf(8121,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),compose(g,a)),compose(compose(domain__dfg(u),g),a)),compose(compose(domain__dfg(u),g),a)),
    inference(spr,[status(thm),theory(equality)],[2,4429]),
    [iquote('0:SpR:2.0,4429.0')] ).

cnf(2353,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)],[2,466]),
    [iquote('0:SpR:2.0,466.0')] ).

cnf(8122,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(g,a)),compose(compose(codomain(u),g),a)),compose(compose(codomain(u),g),a)),
    inference(spr,[status(thm),theory(equality)],[25,4429]),
    [iquote('0:SpR:25.0,4429.0')] ).

cnf(8101,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),g),compose(compose(codomain(u),domain__dfg(h)),g)),compose(compose(codomain(u),domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[25,465]),
    [iquote('0:SpR:25.0,465.0')] ).

cnf(8080,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)],[25,459]),
    [iquote('0:SpR:25.0,459.0')] ).

cnf(8060,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),g),compose(compose(codomain(u),g),domain__dfg(a))),compose(compose(codomain(u),g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[25,458]),
    [iquote('0:SpR:25.0,458.0')] ).

cnf(2354,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)],[25,466]),
    [iquote('0:SpR:25.0,466.0')] ).

cnf(8042,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),h),compose(compose(codomain(u),h),domain__dfg(a))),compose(compose(codomain(u),h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[25,457]),
    [iquote('0:SpR:25.0,457.0')] ).

cnf(5678,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),g),compose(compose(domain__dfg(u),domain__dfg(h)),g)),compose(compose(domain__dfg(u),domain__dfg(h)),g)),
    inference(rew,[status(thm),theory(equality)],[1,5591,2,204,23]),
    [iquote('0:Rew:1.0,5591.0,2.0,5591.0,204.0,5591.0,23.0,5591.0')] ).

cnf(5672,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),h),compose(compose(domain__dfg(u),h),domain__dfg(a))),compose(compose(domain__dfg(u),h),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,5602,131,23]),
    [iquote('0:Rew:1.0,5602.0,131.0,5602.0,23.0,5602.0')] ).

cnf(695,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(h,a),u)),compose(compose(h,a),u)),compose(compose(h,a),u)),
    inference(rew,[status(thm),theory(equality)],[284,690,1,2,648]),
    [iquote('0:Rew:284.0,690.0,1.0,690.0,2.0,690.0,648.0,690.0')] ).

cnf(2249,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)],[2,460]),
    [iquote('0:SpR:2.0,460.0')] ).

cnf(618,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(domain__dfg(h),compose(compose(g,a),u)),compose(compose(g,a),u)),compose(compose(g,a),u)),
    inference(rew,[status(thm),theory(equality)],[285,613,1,2,519]),
    [iquote('0:Rew:285.0,613.0,1.0,613.0,2.0,613.0,519.0,613.0')] ).

cnf(607,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)],[25,601,1,500,3]),
    [iquote('0:Rew:25.0,601.0,1.0,601.0,500.0,601.0,3.0,601.0')] ).

cnf(472,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(h,a),compose(domain__dfg(b),u)),compose(compose(h,a),u)),compose(compose(h,a),u)),
    inference(rew,[status(thm),theory(equality)],[2,385,1,284,23]),
    [iquote('0:Rew:2.0,385.0,1.0,385.0,284.0,385.0,23.0,385.0')] ).

cnf(471,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(compose(g,a),compose(domain__dfg(b),u)),compose(compose(g,a),u)),compose(compose(g,a),u)),
    inference(rew,[status(thm),theory(equality)],[2,386,1,285,23]),
    [iquote('0:Rew:2.0,386.0,1.0,386.0,285.0,386.0,23.0,386.0')] ).

cnf(2250,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)],[25,460]),
    [iquote('0:SpR:25.0,460.0')] ).

cnf(10242,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),b,domain__dfg(b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10233,8155]),
    [iquote('0:Rew:1.0,10233.0,8155.0,10233.0')] ).

cnf(10241,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),b,domain__dfg(b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10235,451]),
    [iquote('0:Rew:1.0,10235.0,451.0,10235.0')] ).

cnf(10223,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(h,compose(a,b)),domain__dfg(b),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10214,8155]),
    [iquote('0:Rew:1.0,10214.0,8155.0,10214.0')] ).

cnf(10222,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(h,compose(a,b)),domain__dfg(b),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10216,451]),
    [iquote('0:Rew:1.0,10216.0,451.0,10216.0')] ).

cnf(475,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)],[1,395,25,3]),
    [iquote('0:Rew:1.0,395.0,25.0,395.0,3.0,395.0')] ).

cnf(6915,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(h,a),compose(domain__dfg(b),g)),compose(compose(h,a),g)),compose(compose(h,a),g)),
    inference(spr,[status(thm),theory(equality)],[284,1989]),
    [iquote('0:SpR:284.0,1989.0')] ).

cnf(6917,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(compose(g,a),compose(domain__dfg(b),g)),compose(compose(g,a),g)),compose(compose(g,a),g)),
    inference(spr,[status(thm),theory(equality)],[285,1989]),
    [iquote('0:SpR:285.0,1989.0')] ).

cnf(6918,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(compose(a,b),compose(codomain(b),g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(spr,[status(thm),theory(equality)],[500,1989]),
    [iquote('0:SpR:500.0,1989.0')] ).

cnf(6891,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(h,a),g)),compose(compose(h,a),g)),compose(compose(h,a),g)),
    inference(rew,[status(thm),theory(equality)],[648,6872]),
    [iquote('0:Rew:648.0,6872.0')] ).

cnf(5462,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)],[1,5371,25,3]),
    [iquote('0:Rew:1.0,5371.0,25.0,5371.0,3.0,5371.0')] ).

cnf(6890,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(h),compose(compose(g,a),g)),compose(compose(g,a),g)),compose(compose(g,a),g)),
    inference(rew,[status(thm),theory(equality)],[519,6874]),
    [iquote('0:Rew:519.0,6874.0')] ).

cnf(6889,plain,
    equal(ifeq(codomain(b),domain__dfg(h),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)],[133,6875]),
    [iquote('0:Rew:133.0,6875.0')] ).

cnf(6739,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(domain__dfg(a),compose(h,a))),compose(h,compose(h,a))),compose(h,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,441]),
    [iquote('0:SpR:648.0,441.0')] ).

cnf(6740,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(domain__dfg(a),compose(g,a))),compose(h,compose(g,a))),compose(h,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,441]),
    [iquote('0:SpR:519.0,441.0')] ).

cnf(5030,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)],[1,4971,25,3]),
    [iquote('0:Rew:1.0,4971.0,25.0,4971.0,3.0,4971.0')] ).

cnf(6694,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(g,compose(h,a))),compose(g,compose(h,a))),compose(g,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,435]),
    [iquote('0:SpR:648.0,435.0')] ).

cnf(6695,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(g,compose(g,a))),compose(g,compose(g,a))),compose(g,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,435]),
    [iquote('0:SpR:519.0,435.0')] ).

cnf(6642,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(h,compose(h,a))),compose(h,compose(h,a))),compose(h,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,1894]),
    [iquote('0:SpR:648.0,1894.0')] ).

cnf(6643,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(h,compose(g,a))),compose(h,compose(g,a))),compose(h,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,1894]),
    [iquote('0:SpR:519.0,1894.0')] ).

cnf(4868,plain,
    equal(ifeq(domain__dfg(a),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)],[1,4803,25,3]),
    [iquote('0:Rew:1.0,4803.0,25.0,4803.0,3.0,4803.0')] ).

cnf(6616,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)],[133,1887]),
    [iquote('0:SpR:133.0,1887.0')] ).

cnf(6618,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(a),compose(a,compose(h,a))),compose(a,compose(h,a))),compose(a,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,1887]),
    [iquote('0:SpR:648.0,1887.0')] ).

cnf(6619,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(a),compose(a,compose(g,a))),compose(a,compose(g,a))),compose(a,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,1887]),
    [iquote('0:SpR:519.0,1887.0')] ).

cnf(6551,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(domain__dfg(b),compose(h,a))),compose(a,compose(h,a))),compose(a,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,443]),
    [iquote('0:SpR:648.0,443.0')] ).

cnf(1985,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)],[133,444]),
    [iquote('0:SpR:133.0,444.0')] ).

cnf(6552,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(domain__dfg(b),compose(g,a))),compose(a,compose(g,a))),compose(a,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,443]),
    [iquote('0:SpR:519.0,443.0')] ).

cnf(6524,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(domain__dfg(a),compose(h,a))),compose(g,compose(h,a))),compose(g,compose(h,a))),
    inference(spr,[status(thm),theory(equality)],[648,442]),
    [iquote('0:SpR:648.0,442.0')] ).

cnf(6525,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(domain__dfg(a),compose(g,a))),compose(g,compose(g,a))),compose(g,compose(g,a))),
    inference(spr,[status(thm),theory(equality)],[519,442]),
    [iquote('0:SpR:519.0,442.0')] ).

cnf(3154,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(a,compose(compose(a,b),a),domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2026]),
    [iquote('0:SpR:500.0,2026.0')] ).

cnf(1882,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)],[133,436]),
    [iquote('0:SpR:133.0,436.0')] ).

cnf(3110,plain,
    equal(ifeq(codomain(b),domain__dfg(b),ifeq(compose(compose(a,b),a),a,domain__dfg(a),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2024]),
    [iquote('0:SpR:500.0,2024.0')] ).

cnf(10794,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(domain__dfg(u),b),domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,10705]),
    [iquote('0:SpR:2.0,10705.0')] ).

cnf(10795,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(codomain(u),b),domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,10705]),
    [iquote('0:SpR:25.0,10705.0')] ).

cnf(10741,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(domain__dfg(a),b),domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,10699]),
    [iquote('0:SpR:2.0,10699.0')] ).

cnf(5674,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)],[1,5598,9,23]),
    [iquote('0:Rew:1.0,5598.0,9.0,5598.0,23.0,5598.0')] ).

cnf(10742,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(domain__dfg(a),b),domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,10699]),
    [iquote('0:SpR:25.0,10699.0')] ).

cnf(10714,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,3769]),
    [iquote('0:SpR:131.0,3769.0')] ).

cnf(10715,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,3769]),
    [iquote('0:SpR:132.0,3769.0')] ).

cnf(10809,plain,
    equal(ifeq(compose(domain__dfg(a),b),compose(h,compose(a,b)),domain__dfg(a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10796,8155]),
    [iquote('0:Rew:1.0,10796.0,8155.0,10796.0')] ).

cnf(5673,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),compose(domain__dfg(u),g),compose(compose(domain__dfg(u),g),domain__dfg(a))),compose(compose(domain__dfg(u),g),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,5601,132,23,204]),
    [iquote('0:Rew:1.0,5601.0,132.0,5601.0,23.0,5601.0,204.0,5601.0')] ).

cnf(10808,plain,
    equal(ifeq(compose(domain__dfg(a),b),compose(h,compose(a,b)),domain__dfg(a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10798,451]),
    [iquote('0:Rew:1.0,10798.0,451.0,10798.0')] ).

cnf(10801,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(g,b),domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,10705]),
    [iquote('0:SpR:132.0,10705.0')] ).

cnf(10800,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(h,b),domain__dfg(a),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,10705]),
    [iquote('0:SpR:131.0,10705.0')] ).

cnf(10705,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(domain__dfg(a),b),compose(u,b),domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,3769]),
    [iquote('0:SpR:1.0,3769.0')] ).

cnf(513,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)],[500,477]),
    [iquote('0:Rew:500.0,477.0')] ).

cnf(10756,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(domain__dfg(a),b),domain__dfg(a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,10743,8155]),
    [iquote('0:Rew:1.0,10743.0,8155.0,10743.0')] ).

cnf(10755,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(domain__dfg(a),b),domain__dfg(a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,10745,451]),
    [iquote('0:Rew:1.0,10745.0,451.0,10745.0')] ).

cnf(10748,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(domain__dfg(a),b),domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,10699]),
    [iquote('0:SpR:132.0,10699.0')] ).

cnf(10747,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(domain__dfg(a),b),domain__dfg(a),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,10699]),
    [iquote('0:SpR:131.0,10699.0')] ).

cnf(6074,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(rew,[status(thm),theory(equality)],[2,6024,1,9,23]),
    [iquote('0:Rew:2.0,6024.0,1.0,6024.0,9.0,6024.0,23.0,6024.0')] ).

cnf(10699,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(domain__dfg(a),b),domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,3769]),
    [iquote('0:SpR:1.0,3769.0')] ).

cnf(10721,plain,
    equal(ifeq(b,u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,10702,2]),
    [iquote('0:Rew:1.0,10702.0,2.0,10702.0')] ).

cnf(3769,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(domain__dfg(a),b),v,domain__dfg(a),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[255,1]),
    [iquote('0:SpR:255.0,1.0')] ).

cnf(2722,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(a,a),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,304]),
    [iquote('0:SpR:9.0,304.0')] ).

cnf(2668,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(a,a),compose(u,a),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,306]),
    [iquote('0:SpR:9.0,306.0')] ).

cnf(2624,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(a,b),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,245]),
    [iquote('0:SpR:9.0,245.0')] ).

cnf(2531,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(a,b),compose(u,b),a,u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,247]),
    [iquote('0:SpR:9.0,247.0')] ).

cnf(2096,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,a),v,ifeq(compose(domain__dfg(u),a),v,domain__dfg(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,323]),
    [iquote('0:SpR:2.0,323.0')] ).

cnf(10521,plain,
    equal(ifeq(compose(a,b),u,ifeq(compose(domain__dfg(a),b),u,domain__dfg(a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2057,1]),
    [iquote('0:SpR:2057.0,1.0')] ).

cnf(2097,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,a),v,ifeq(compose(codomain(u),a),v,codomain(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,323]),
    [iquote('0:SpR:25.0,323.0')] ).

cnf(2057,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(domain__dfg(u),b),v,domain__dfg(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,262]),
    [iquote('0:SpR:2.0,262.0')] ).

cnf(2058,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(codomain(u),b),v,codomain(u),a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,262]),
    [iquote('0:SpR:25.0,262.0')] ).

cnf(10475,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(a,a),a,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[9,2720]),
    [iquote('0:SpR:9.0,2720.0')] ).

cnf(10456,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(a,a),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,2721]),
    [iquote('0:SpR:9.0,2721.0')] ).

cnf(2720,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(u,a),u,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,304]),
    [iquote('0:SpR:131.0,304.0')] ).

cnf(2721,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(u,a),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,304]),
    [iquote('0:SpR:132.0,304.0')] ).

cnf(10436,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(a,a),compose(h,a),a,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[9,2666]),
    [iquote('0:SpR:9.0,2666.0')] ).

cnf(2666,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(u,a),compose(h,a),u,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,306]),
    [iquote('0:SpR:131.0,306.0')] ).

cnf(10417,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(a,a),compose(g,a),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,2667]),
    [iquote('0:SpR:9.0,2667.0')] ).

cnf(2667,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(u,a),compose(g,a),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,306]),
    [iquote('0:SpR:132.0,306.0')] ).

cnf(10394,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(a,b),a,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[9,2622]),
    [iquote('0:SpR:9.0,2622.0')] ).

cnf(2622,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(u,b),u,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,245]),
    [iquote('0:SpR:131.0,245.0')] ).

cnf(10367,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(a,b),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,2623]),
    [iquote('0:SpR:9.0,2623.0')] ).

cnf(10342,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(a,b),compose(h,b),a,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[9,2529]),
    [iquote('0:SpR:9.0,2529.0')] ).

cnf(2623,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(u,b),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,245]),
    [iquote('0:SpR:132.0,245.0')] ).

cnf(2529,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(u,b),compose(h,b),u,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,247]),
    [iquote('0:SpR:131.0,247.0')] ).

cnf(9772,plain,
    equal(ifeq(compose(compose(h,a),a),u,ifeq(compose(h,a),u,h,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,9759]),
    [iquote('0:Rew:1.0,9759.0')] ).

cnf(9771,plain,
    equal(ifeq(compose(compose(g,a),a),u,ifeq(compose(h,a),u,h,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,9761]),
    [iquote('0:Rew:1.0,9761.0')] ).

cnf(10301,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(a,b),compose(g,b),a,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[9,2530]),
    [iquote('0:SpR:9.0,2530.0')] ).

cnf(2530,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(u,b),compose(g,b),u,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,247]),
    [iquote('0:SpR:132.0,247.0')] ).

cnf(9660,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,b),u,h,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,9647,8155]),
    [iquote('0:Rew:1.0,9647.0,8155.0,9647.0')] ).

cnf(9659,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(h,b),u,h,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,9649,451]),
    [iquote('0:Rew:1.0,9649.0,451.0,9649.0')] ).

cnf(8203,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(g,b),u,g,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,2150]),
    [iquote('0:Rew:8155.0,2150.0')] ).

cnf(4046,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(h,a),u,h,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[1,4043]),
    [iquote('0:Rew:1.0,4043.0')] ).

cnf(2408,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,u,ifeq(compose(a,b),u,a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,264]),
    [iquote('0:SpR:9.0,264.0')] ).

cnf(2189,plain,
    equal(ifeq(compose(compose(h,a),a),u,ifeq(compose(g,a),u,g,compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,2177]),
    [iquote('0:Rew:1.0,2177.0')] ).

cnf(2188,plain,
    equal(ifeq(compose(compose(g,a),a),u,ifeq(compose(g,a),u,g,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2179]),
    [iquote('0:Rew:1.0,2179.0')] ).

cnf(2149,plain,
    equal(ifeq(compose(h,compose(a,b)),u,ifeq(compose(g,b),u,g,compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2140,451]),
    [iquote('0:Rew:1.0,2140.0,451.0,2140.0')] ).

cnf(2591,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(codomain(b),domain__dfg(b),compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,2519]),
    [iquote('0:SpR:500.0,2519.0')] ).

cnf(2187,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(compose(g,a),u,g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,2171]),
    [iquote('0:Rew:2.0,2171.0')] ).

cnf(10237,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),b,domain__dfg(b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2638]),
    [iquote('0:SpR:131.0,2638.0')] ).

cnf(10238,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),b,domain__dfg(b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2638]),
    [iquote('0:SpR:132.0,2638.0')] ).

cnf(10218,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(b,compose(h,b),domain__dfg(b),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2545]),
    [iquote('0:SpR:131.0,2545.0')] ).

cnf(10219,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(b,compose(g,b),domain__dfg(b),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2545]),
    [iquote('0:SpR:132.0,2545.0')] ).

cnf(2638,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),b,domain__dfg(b),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[2,2608]),
    [iquote('0:Rew:2.0,2608.0')] ).

cnf(2545,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(b,compose(u,b),domain__dfg(b),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[2,2517]),
    [iquote('0:Rew:2.0,2517.0')] ).

cnf(2039,plain,
    equal(ifeq(compose(compose(h,a),a),u,ifeq(a,u,domain__dfg(a),compose(h,a)),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,2030]),
    [iquote('0:Rew:1.0,2030.0')] ).

cnf(2038,plain,
    equal(ifeq(compose(compose(g,a),a),u,ifeq(a,u,domain__dfg(a),compose(g,a)),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2032]),
    [iquote('0:Rew:1.0,2032.0')] ).

cnf(8313,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),b,compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[8155,6450]),
    [iquote('0:Rew:8155.0,6450.0')] ).

cnf(2419,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,u,ifeq(b,u,domain__dfg(b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[2,2404]),
    [iquote('0:Rew:2.0,2404.0')] ).

cnf(8311,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(h,compose(a,b)),compose(h,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[8155,6424]),
    [iquote('0:Rew:8155.0,6424.0')] ).

cnf(6462,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),b,compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[451,6452]),
    [iquote('0:Rew:451.0,6452.0')] ).

cnf(6453,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),b),b,compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,2407]),
    [iquote('0:SpR:500.0,2407.0')] ).

cnf(6436,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(h,compose(a,b)),compose(g,a),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[451,6426]),
    [iquote('0:Rew:451.0,6426.0')] ).

cnf(2037,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,u,ifeq(a,u,domain__dfg(a),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,2025]),
    [iquote('0:Rew:2.0,2025.0')] ).

cnf(6427,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(b,compose(compose(a,b),b),compose(a,b),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,2406]),
    [iquote('0:SpR:500.0,2406.0')] ).

cnf(6404,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[501,507]),
    [iquote('0:SpR:501.0,507.0')] ).

cnf(6386,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[205,506]),
    [iquote('0:SpR:205.0,506.0')] ).

cnf(1983,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)],[3,444]),
    [iquote('0:SpR:3.0,444.0')] ).

cnf(1984,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)],[23,444]),
    [iquote('0:SpR:23.0,444.0')] ).

cnf(1880,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)],[3,436]),
    [iquote('0:SpR:3.0,436.0')] ).

cnf(1881,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)],[23,436]),
    [iquote('0:SpR:23.0,436.0')] ).

cnf(462,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)],[1,375,2,23]),
    [iquote('0:Rew:1.0,375.0,2.0,375.0,23.0,375.0')] ).

cnf(9763,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(h,a),u,h,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,322]),
    [iquote('0:SpR:131.0,322.0')] ).

cnf(461,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)],[1,379,25,3]),
    [iquote('0:Rew:1.0,379.0,25.0,379.0,3.0,379.0')] ).

cnf(322,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(h,a),v,h,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,319]),
    [iquote('0:Rew:1.0,319.0')] ).

cnf(6886,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),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)],[23,6870]),
    [iquote('0:Rew:23.0,6870.0')] ).

cnf(6885,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(codomain(u),compose(codomain(u),g)),compose(codomain(u),g)),compose(codomain(u),g)),
    inference(rew,[status(thm),theory(equality)],[3,6871]),
    [iquote('0:Rew:3.0,6871.0')] ).

cnf(9651,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(h,b),u,h,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,261]),
    [iquote('0:SpR:131.0,261.0')] ).

cnf(261,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(h,b),v,h,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,258]),
    [iquote('0:Rew:1.0,258.0')] ).

cnf(9595,plain,
    equal(ifeq(compose(domain__dfg(b),a),compose(h,a),h,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[5970,1]),
    [iquote('0:SpR:5970.0,1.0')] ).

cnf(5970,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(h,a),h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2734]),
    [iquote('0:SpR:2.0,2734.0')] ).

cnf(5971,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(h,a),h,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2734]),
    [iquote('0:SpR:25.0,2734.0')] ).

cnf(9495,plain,
    equal(ifeq(compose(h,a),compose(domain__dfg(b),a),h,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[5882,1]),
    [iquote('0:SpR:5882.0,1.0')] ).

cnf(2352,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)],[9,466]),
    [iquote('0:SpR:9.0,466.0')] ).

cnf(5882,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(h,a),compose(domain__dfg(u),a),h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2680]),
    [iquote('0:SpR:2.0,2680.0')] ).

cnf(5883,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,a),compose(codomain(u),a),h,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2680]),
    [iquote('0:SpR:25.0,2680.0')] ).

cnf(5736,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(h,b),h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2636]),
    [iquote('0:SpR:2.0,2636.0')] ).

cnf(5737,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(h,b),h,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2636]),
    [iquote('0:SpR:25.0,2636.0')] ).

cnf(2359,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(h,u),compose(compose(h,domain__dfg(u)),u)),compose(compose(h,domain__dfg(u)),u)),
    inference(spr,[status(thm),theory(equality)],[131,466]),
    [iquote('0:SpR:131.0,466.0')] ).

cnf(5529,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(h,b),compose(domain__dfg(u),b),h,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2543]),
    [iquote('0:SpR:2.0,2543.0')] ).

cnf(5530,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,b),compose(codomain(u),b),h,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2543]),
    [iquote('0:SpR:25.0,2543.0')] ).

cnf(9251,plain,
    equal(ifeq(compose(g,a),compose(domain__dfg(b),a),g,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[5289,1]),
    [iquote('0:SpR:5289.0,1.0')] ).

cnf(5289,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(g,a),compose(domain__dfg(u),a),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2172]),
    [iquote('0:SpR:2.0,2172.0')] ).

cnf(2360,plain,
    equal(ifeq(domain__dfg(a),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)],[132,466]),
    [iquote('0:SpR:132.0,466.0')] ).

cnf(5290,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(g,a),compose(codomain(u),a),g,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2172]),
    [iquote('0:SpR:25.0,2172.0')] ).

cnf(9151,plain,
    equal(ifeq(compose(domain__dfg(b),a),compose(g,a),g,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[5185,1]),
    [iquote('0:SpR:5185.0,1.0')] ).

cnf(5185,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),compose(g,a),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2169]),
    [iquote('0:SpR:2.0,2169.0')] ).

cnf(5186,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),compose(g,a),g,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2169]),
    [iquote('0:SpR:25.0,2169.0')] ).

cnf(2248,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)],[9,460]),
    [iquote('0:SpR:9.0,460.0')] ).

cnf(5068,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(g,b),compose(domain__dfg(u),b),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2133]),
    [iquote('0:SpR:2.0,2133.0')] ).

cnf(5069,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(g,b),compose(codomain(u),b),g,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2133]),
    [iquote('0:SpR:25.0,2133.0')] ).

cnf(4933,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),b),compose(g,b),g,domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2129]),
    [iquote('0:SpR:2.0,2129.0')] ).

cnf(4934,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),b),compose(g,b),g,codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2129]),
    [iquote('0:SpR:25.0,2129.0')] ).

cnf(2255,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(h,u),compose(compose(h,u),codomain(u))),compose(compose(h,u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[131,460]),
    [iquote('0:SpR:131.0,460.0')] ).

cnf(6736,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(a),domain__dfg(u))),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,441]),
    [iquote('0:SpR:23.0,441.0')] ).

cnf(6691,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(domain__dfg(h),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,435]),
    [iquote('0:SpR:23.0,435.0')] ).

cnf(6638,plain,
    equal(ifeq(domain__dfg(a),codomain(u),compose(domain__dfg(h),compose(h,codomain(u))),compose(h,codomain(u))),compose(h,codomain(u))),
    inference(spr,[status(thm),theory(equality)],[3,1894]),
    [iquote('0:SpR:3.0,1894.0')] ).

cnf(6639,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(domain__dfg(h),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),compose(h,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,1894]),
    [iquote('0:SpR:23.0,1894.0')] ).

cnf(2256,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(g,u),compose(compose(g,u),codomain(u))),compose(compose(g,u),codomain(u))),
    inference(spr,[status(thm),theory(equality)],[132,460]),
    [iquote('0:SpR:132.0,460.0')] ).

cnf(6614,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)],[3,1887]),
    [iquote('0:SpR:3.0,1887.0')] ).

cnf(6615,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)],[23,1887]),
    [iquote('0:SpR:23.0,1887.0')] ).

cnf(6548,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)],[23,443]),
    [iquote('0:SpR:23.0,443.0')] ).

cnf(6521,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(domain__dfg(a),domain__dfg(u))),compose(g,domain__dfg(u))),compose(g,domain__dfg(u))),
    inference(spr,[status(thm),theory(equality)],[23,442]),
    [iquote('0:SpR:23.0,442.0')] ).

cnf(5452,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)],[2,5372,1,9,23]),
    [iquote('0:Rew:2.0,5372.0,1.0,5372.0,9.0,5372.0,23.0,5372.0')] ).

cnf(5451,plain,
    equal(ifeq(domain__dfg(a),codomain(u),compose(g,compose(domain__dfg(a),codomain(u))),compose(g,codomain(u))),compose(g,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,5375,1,132,23]),
    [iquote('0:Rew:2.0,5375.0,1.0,5375.0,132.0,5375.0,23.0,5375.0')] ).

cnf(5450,plain,
    equal(ifeq(domain__dfg(a),codomain(u),compose(h,compose(domain__dfg(a),codomain(u))),compose(h,codomain(u))),compose(h,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[2,5376,1,131,23]),
    [iquote('0:Rew:2.0,5376.0,1.0,5376.0,131.0,5376.0,23.0,5376.0')] ).

cnf(5445,plain,
    equal(ifeq(domain__dfg(a),codomain(u),compose(domain__dfg(h),compose(g,codomain(u))),compose(g,codomain(u))),compose(g,codomain(u))),
    inference(rew,[status(thm),theory(equality)],[132,5365,1,2,204]),
    [iquote('0:Rew:132.0,5365.0,1.0,5365.0,2.0,5365.0,204.0,5365.0')] ).

cnf(8485,plain,
    equal(ifeq(codomain(b),domain__dfg(h),compose(a,compose(b,g)),compose(compose(a,b),g)),compose(compose(a,b),g)),
    inference(spr,[status(thm),theory(equality)],[204,4991]),
    [iquote('0:SpR:204.0,4991.0')] ).

cnf(4991,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)],[1,412]),
    [iquote('0:SpR:1.0,412.0')] ).

cnf(8466,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(h,compose(a,g)),compose(compose(h,a),g)),compose(compose(h,a),g)),
    inference(spr,[status(thm),theory(equality)],[204,4640]),
    [iquote('0:SpR:204.0,4640.0')] ).

cnf(8439,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(g,compose(a,g)),compose(compose(g,a),g)),compose(compose(g,a),g)),
    inference(spr,[status(thm),theory(equality)],[204,4639]),
    [iquote('0:SpR:204.0,4639.0')] ).

cnf(8199,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(h,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[8155,4059]),
    [iquote('0:Rew:8155.0,4059.0')] ).

cnf(8198,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(h,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[8155,4015]),
    [iquote('0:Rew:8155.0,4015.0')] ).

cnf(4640,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(h,compose(a,u)),compose(compose(h,a),u)),compose(compose(h,a),u)),
    inference(rew,[status(thm),theory(equality)],[1,4623]),
    [iquote('0:Rew:1.0,4623.0')] ).

cnf(8143,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)],[9,4598]),
    [iquote('0:SpR:9.0,4598.0')] ).

cnf(8120,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(g,a)),compose(compose(a,g),a)),compose(compose(a,g),a)),
    inference(spr,[status(thm),theory(equality)],[9,4429]),
    [iquote('0:SpR:9.0,4429.0')] ).

cnf(8128,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(g,a)),compose(compose(h,g),a)),compose(compose(h,g),a)),
    inference(spr,[status(thm),theory(equality)],[131,4429]),
    [iquote('0:SpR:131.0,4429.0')] ).

cnf(8163,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,5753]),
    [iquote('0:Rew:8155.0,5753.0')] ).

cnf(4639,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),compose(g,compose(a,u)),compose(compose(g,a),u)),compose(compose(g,a),u)),
    inference(rew,[status(thm),theory(equality)],[1,4624]),
    [iquote('0:Rew:1.0,4624.0')] ).

cnf(8162,plain,
    equal(ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,5546]),
    [iquote('0:Rew:8155.0,5546.0')] ).

cnf(8161,plain,
    equal(ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,5085]),
    [iquote('0:Rew:8155.0,5085.0')] ).

cnf(8160,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[8155,4950]),
    [iquote('0:Rew:8155.0,4950.0')] ).

cnf(8155,plain,
    equal(compose(compose(h,a),b),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,8151]),
    [iquote('0:Rew:1.0,8151.0')] ).

cnf(4598,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)],[425,1]),
    [iquote('0:SpR:425.0,1.0')] ).

cnf(8129,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(g,a)),compose(compose(g,g),a)),compose(compose(g,g),a)),
    inference(spr,[status(thm),theory(equality)],[132,4429]),
    [iquote('0:SpR:132.0,4429.0')] ).

cnf(4429,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(g,a)),compose(compose(u,g),a)),compose(compose(u,g),a)),
    inference(spr,[status(thm),theory(equality)],[449,1]),
    [iquote('0:SpR:449.0,1.0')] ).

cnf(8107,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,g),compose(compose(h,domain__dfg(h)),g)),compose(compose(h,domain__dfg(h)),g)),
    inference(spr,[status(thm),theory(equality)],[131,465]),
    [iquote('0:SpR:131.0,465.0')] ).

cnf(465,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,g),compose(compose(u,domain__dfg(h)),g)),compose(compose(u,domain__dfg(h)),g)),
    inference(rew,[status(thm),theory(equality)],[1,392,2,204,23]),
    [iquote('0:Rew:1.0,392.0,2.0,392.0,204.0,392.0,23.0,392.0')] ).

cnf(459,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)],[1,396,9,23]),
    [iquote('0:Rew:1.0,396.0,9.0,396.0,23.0,396.0')] ).

cnf(8066,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,g),compose(compose(h,g),domain__dfg(a))),compose(compose(h,g),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[131,458]),
    [iquote('0:SpR:131.0,458.0')] ).

cnf(458,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,g),compose(compose(u,g),domain__dfg(a))),compose(compose(u,g),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,399,132,23,204]),
    [iquote('0:Rew:1.0,399.0,132.0,399.0,23.0,399.0,204.0,399.0')] ).

cnf(8048,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,h),compose(compose(h,h),domain__dfg(a))),compose(compose(h,h),domain__dfg(a))),
    inference(spr,[status(thm),theory(equality)],[131,457]),
    [iquote('0:SpR:131.0,457.0')] ).

cnf(457,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,h),compose(compose(u,h),domain__dfg(a))),compose(compose(u,h),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,400,131,23]),
    [iquote('0:Rew:1.0,400.0,131.0,400.0,23.0,400.0')] ).

cnf(3257,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(h,a),u,h,g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[1,3254]),
    [iquote('0:Rew:1.0,3254.0')] ).

cnf(5024,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,g),compose(compose(a,domain__dfg(h)),g)),compose(compose(a,domain__dfg(h)),g)),
    inference(rew,[status(thm),theory(equality)],[1,4965,2,204,23]),
    [iquote('0:Rew:1.0,4965.0,2.0,4965.0,204.0,4965.0,23.0,4965.0')] ).

cnf(5020,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,h),compose(compose(a,h),domain__dfg(a))),compose(compose(a,h),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,4976,131,23]),
    [iquote('0:Rew:1.0,4976.0,131.0,4976.0,23.0,4976.0')] ).

cnf(4862,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,g),compose(compose(g,domain__dfg(h)),g)),compose(compose(g,domain__dfg(h)),g)),
    inference(rew,[status(thm),theory(equality)],[1,4797,2,204,23]),
    [iquote('0:Rew:1.0,4797.0,2.0,4797.0,204.0,4797.0,23.0,4797.0')] ).

cnf(4858,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,h),compose(compose(g,h),domain__dfg(a))),compose(compose(g,h),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,4808,131,23]),
    [iquote('0:Rew:1.0,4808.0,131.0,4808.0,23.0,4808.0')] ).

cnf(3180,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(h,b),u,h,g),g),g),g),
    inference(rew,[status(thm),theory(equality)],[1,3177]),
    [iquote('0:Rew:1.0,3177.0')] ).

cnf(4332,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(h,a),a),compose(a,a),compose(h,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[284,2094]),
    [iquote('0:SpR:284.0,2094.0')] ).

cnf(4334,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(compose(g,a),a),compose(a,a),compose(g,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[285,2094]),
    [iquote('0:SpR:285.0,2094.0')] ).

cnf(4335,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),a),compose(a,a),compose(a,b),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,2094]),
    [iquote('0:SpR:500.0,2094.0')] ).

cnf(4084,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(h,a),a),compose(h,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[284,2093]),
    [iquote('0:SpR:284.0,2093.0')] ).

cnf(2181,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(compose(g,a),u,g,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,321]),
    [iquote('0:SpR:131.0,321.0')] ).

cnf(4086,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(g,a),a),compose(g,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[285,2093]),
    [iquote('0:SpR:285.0,2093.0')] ).

cnf(4087,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,a),compose(compose(a,b),a),compose(a,b),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,2093]),
    [iquote('0:SpR:500.0,2093.0')] ).

cnf(4073,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(g,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[451,4061]),
    [iquote('0:Rew:451.0,4061.0')] ).

cnf(2182,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(compose(g,a),u,g,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,321]),
    [iquote('0:SpR:132.0,321.0')] ).

cnf(4062,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(compose(a,b),b),compose(a,b),compose(a,b),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,2055]),
    [iquote('0:SpR:500.0,2055.0')] ).

cnf(4029,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(g,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[451,4017]),
    [iquote('0:Rew:451.0,4017.0')] ).

cnf(4018,plain,
    equal(ifeq(codomain(b),domain__dfg(a),ifeq(compose(a,b),compose(compose(a,b),b),compose(a,b),a),a),a),
    inference(spr,[status(thm),theory(equality)],[500,2054]),
    [iquote('0:SpR:500.0,2054.0')] ).

cnf(2142,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),u,ifeq(compose(g,b),u,g,h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,260]),
    [iquote('0:SpR:131.0,260.0')] ).

cnf(7956,plain,
    equal(ifeq(a,compose(domain__dfg(b),a),domain__dfg(a),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[3149,1]),
    [iquote('0:SpR:3149.0,1.0')] ).

cnf(3149,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(a,compose(domain__dfg(u),a),domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2026]),
    [iquote('0:SpR:2.0,2026.0')] ).

cnf(3150,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(a,compose(codomain(u),a),domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2026]),
    [iquote('0:SpR:25.0,2026.0')] ).

cnf(7868,plain,
    equal(ifeq(compose(domain__dfg(b),a),a,domain__dfg(a),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[3105,1]),
    [iquote('0:SpR:3105.0,1.0')] ).

cnf(2143,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),u,ifeq(compose(g,b),u,g,g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,260]),
    [iquote('0:SpR:132.0,260.0')] ).

cnf(3105,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(b),ifeq(compose(domain__dfg(u),a),a,domain__dfg(a),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2024]),
    [iquote('0:SpR:2.0,2024.0')] ).

cnf(3106,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(codomain(u),a),a,domain__dfg(a),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2024]),
    [iquote('0:SpR:25.0,2024.0')] ).

cnf(7787,plain,
    equal(ifeq(compose(domain__dfg(a),b),b,domain__dfg(a),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[6448,1]),
    [iquote('0:SpR:6448.0,1.0')] ).

cnf(6448,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),b),b,domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,2407]),
    [iquote('0:SpR:2.0,2407.0')] ).

cnf(2095,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,a),u,ifeq(compose(a,a),u,a,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[9,323]),
    [iquote('0:SpR:9.0,323.0')] ).

cnf(6449,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),b),b,codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,2407]),
    [iquote('0:SpR:25.0,2407.0')] ).

cnf(7719,plain,
    equal(ifeq(b,compose(domain__dfg(a),b),domain__dfg(a),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[6422,1]),
    [iquote('0:SpR:6422.0,1.0')] ).

cnf(6422,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(b,compose(domain__dfg(u),b),domain__dfg(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2,2406]),
    [iquote('0:SpR:2.0,2406.0')] ).

cnf(6423,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(b,compose(codomain(u),b),codomain(u),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[25,2406]),
    [iquote('0:SpR:25.0,2406.0')] ).

cnf(2056,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(compose(a,b),u,a,a),a),a),a),
    inference(spr,[status(thm),theory(equality)],[9,262]),
    [iquote('0:SpR:9.0,262.0')] ).

cnf(3079,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(h,compose(a,b)),compose(h,a))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,3047]),
    [iquote('0:Rew:501.0,3047.0')] ).

cnf(3040,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(h,compose(a,b)),compose(g,a))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,3008]),
    [iquote('0:Rew:501.0,3008.0')] ).

cnf(5022,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)],[1,4972,9,23]),
    [iquote('0:Rew:1.0,4972.0,9.0,4972.0,23.0,4972.0')] ).

cnf(3001,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(a,b),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,2970]),
    [iquote('0:Rew:205.0,2970.0')] ).

cnf(2962,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(g,a),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,2928]),
    [iquote('0:Rew:205.0,2928.0')] ).

cnf(5021,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,g),compose(compose(a,g),domain__dfg(a))),compose(compose(a,g),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,4975,132,23,204]),
    [iquote('0:Rew:1.0,4975.0,132.0,4975.0,23.0,4975.0,204.0,4975.0')] ).

cnf(4859,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,g),compose(compose(g,g),domain__dfg(a))),compose(compose(g,g),domain__dfg(a))),
    inference(rew,[status(thm),theory(equality)],[1,4807,132,23,204]),
    [iquote('0:Rew:1.0,4807.0,132.0,4807.0,23.0,4807.0,204.0,4807.0')] ).

cnf(2790,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(h,a),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,2747]),
    [iquote('0:Rew:205.0,2747.0')] ).

cnf(2067,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),u,ifeq(b,u,domain__dfg(b),a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[2,2052]),
    [iquote('0:Rew:2.0,2052.0')] ).

cnf(2459,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(h,a),compose(h,compose(a,b)))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[205,660]),
    [iquote('0:SpR:205.0,660.0')] ).

cnf(2445,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(h,compose(a,b)),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,659]),
    [iquote('0:SpR:501.0,659.0')] ).

cnf(2430,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(g,a),compose(h,compose(a,b)))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[205,521]),
    [iquote('0:SpR:205.0,521.0')] ).

cnf(2034,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),u,ifeq(a,u,domain__dfg(a),h),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,324]),
    [iquote('0:SpR:131.0,324.0')] ).

cnf(2396,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(h,compose(a,b)),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[501,520]),
    [iquote('0:SpR:501.0,520.0')] ).

cnf(2578,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),codomain(u),codomain(u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[25,2519]),
    [iquote('0:SpR:25.0,2519.0')] ).

cnf(2577,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(domain__dfg(u),domain__dfg(b),domain__dfg(u),domain__dfg(u)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[2,2519]),
    [iquote('0:SpR:2.0,2519.0')] ).

cnf(2035,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),u,ifeq(a,u,domain__dfg(a),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,324]),
    [iquote('0:SpR:132.0,324.0')] ).

cnf(1768,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),domain__dfg(compose(domain__dfg(u),compose(h,compose(a,b)))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[205,146]),
    [iquote('0:SpR:205.0,146.0')] ).

cnf(1827,plain,
    equal(ifeq(codomain(b),domain__dfg(a),domain__dfg(compose(compose(h,compose(a,b)),compose(a,b))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,1793]),
    [iquote('0:Rew:501.0,1793.0')] ).

cnf(1652,plain,
    equal(ifeq(codomain(b),codomain(u),codomain(compose(compose(h,compose(a,b)),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[501,94]),
    [iquote('0:SpR:501.0,94.0')] ).

cnf(4331,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),a),compose(a,a),codomain(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,2094]),
    [iquote('0:SpR:25.0,2094.0')] ).

cnf(4330,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),a),compose(a,a),domain__dfg(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,2094]),
    [iquote('0:SpR:2.0,2094.0')] ).

cnf(4083,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,a),compose(codomain(u),a),codomain(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,2093]),
    [iquote('0:SpR:25.0,2093.0')] ).

cnf(1671,plain,
    equal(ifeq(codomain(b),domain__dfg(a),codomain(compose(compose(h,compose(a,b)),compose(a,b))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[501,505]),
    [iquote('0:SpR:501.0,505.0')] ).

cnf(4082,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,a),compose(domain__dfg(u),a),domain__dfg(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,2093]),
    [iquote('0:SpR:2.0,2093.0')] ).

cnf(4058,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(codomain(u),b),compose(a,b),codomain(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,2055]),
    [iquote('0:SpR:25.0,2055.0')] ).

cnf(7171,plain,
    equal(ifeq(compose(domain__dfg(a),b),compose(a,b),domain__dfg(a),a),a),
    inference(spr,[status(thm),theory(equality)],[4057,1]),
    [iquote('0:SpR:4057.0,1.0')] ).

cnf(4057,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(domain__dfg(u),b),compose(a,b),domain__dfg(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,2055]),
    [iquote('0:SpR:2.0,2055.0')] ).

cnf(1499,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(a,b),compose(h,compose(a,b)))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[205,504]),
    [iquote('0:SpR:205.0,504.0')] ).

cnf(4014,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(codomain(u),b),codomain(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[25,2054]),
    [iquote('0:SpR:25.0,2054.0')] ).

cnf(7106,plain,
    equal(ifeq(compose(a,b),compose(domain__dfg(a),b),domain__dfg(a),a),a),
    inference(spr,[status(thm),theory(equality)],[4013,1]),
    [iquote('0:SpR:4013.0,1.0')] ).

cnf(4013,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(compose(a,b),compose(domain__dfg(u),b),domain__dfg(u),a),a),a),
    inference(spr,[status(thm),theory(equality)],[2,2054]),
    [iquote('0:SpR:2.0,2054.0')] ).

cnf(1366,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(codomain(u),compose(h,compose(a,b)))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[205,145]),
    [iquote('0:SpR:205.0,145.0')] ).

cnf(1739,plain,
    equal(ifeq(codomain(b),domain__dfg(u),domain__dfg(compose(compose(h,compose(a,b)),domain__dfg(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,1686]),
    [iquote('0:Rew:501.0,1686.0')] ).

cnf(1097,plain,
    equal(ifeq(codomain(b),domain__dfg(u),codomain(compose(compose(h,compose(a,b)),domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[501,93]),
    [iquote('0:SpR:501.0,93.0')] ).

cnf(1612,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(codomain(u),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,1566]),
    [iquote('0:Rew:205.0,1566.0')] ).

cnf(1989,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(codomain(u),g)),compose(u,g)),compose(u,g)),
    inference(spr,[status(thm),theory(equality)],[204,444]),
    [iquote('0:SpR:204.0,444.0')] ).

cnf(1886,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(domain__dfg(u),compose(u,g)),compose(u,g)),compose(u,g)),
    inference(spr,[status(thm),theory(equality)],[204,436]),
    [iquote('0:SpR:204.0,436.0')] ).

cnf(1245,plain,
    equal(ifeq(codomain(b),codomain(u),domain__dfg(compose(compose(h,compose(a,b)),codomain(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,1193]),
    [iquote('0:Rew:501.0,1193.0')] ).

cnf(6742,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(h,compose(domain__dfg(a),g)),compose(h,g)),compose(h,g)),
    inference(spr,[status(thm),theory(equality)],[204,441]),
    [iquote('0:SpR:204.0,441.0')] ).

cnf(441,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(h,compose(domain__dfg(a),u)),compose(h,u)),compose(h,u)),
    inference(rew,[status(thm),theory(equality)],[2,384,1,131,23]),
    [iquote('0:Rew:2.0,384.0,1.0,384.0,131.0,384.0,23.0,384.0')] ).

cnf(6697,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(g,g)),compose(g,g)),compose(g,g)),
    inference(spr,[status(thm),theory(equality)],[204,435]),
    [iquote('0:SpR:204.0,435.0')] ).

cnf(982,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),codomain(compose(domain__dfg(u),compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,929]),
    [iquote('0:Rew:205.0,929.0')] ).

cnf(435,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(domain__dfg(h),compose(g,u)),compose(g,u)),compose(g,u)),
    inference(rew,[status(thm),theory(equality)],[132,376,1,2,204]),
    [iquote('0:Rew:132.0,376.0,1.0,376.0,2.0,376.0,204.0,376.0')] ).

cnf(6645,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(domain__dfg(h),compose(h,g)),compose(h,g)),compose(h,g)),
    inference(spr,[status(thm),theory(equality)],[204,1894]),
    [iquote('0:SpR:204.0,1894.0')] ).

cnf(1894,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(domain__dfg(h),compose(h,u)),compose(h,u)),compose(h,u)),
    inference(spr,[status(thm),theory(equality)],[131,436]),
    [iquote('0:SpR:131.0,436.0')] ).

cnf(6621,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(domain__dfg(a),compose(a,g)),compose(a,g)),compose(a,g)),
    inference(spr,[status(thm),theory(equality)],[204,1887]),
    [iquote('0:SpR:204.0,1887.0')] ).

cnf(6554,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),compose(a,compose(domain__dfg(b),g)),compose(a,g)),compose(a,g)),
    inference(spr,[status(thm),theory(equality)],[204,443]),
    [iquote('0:SpR:204.0,443.0')] ).

cnf(6527,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),compose(g,compose(domain__dfg(a),g)),compose(g,g)),compose(g,g)),
    inference(spr,[status(thm),theory(equality)],[204,442]),
    [iquote('0:SpR:204.0,442.0')] ).

cnf(6447,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),b,a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,2407]),
    [iquote('0:SpR:9.0,2407.0')] ).

cnf(1887,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)],[9,436]),
    [iquote('0:SpR:9.0,436.0')] ).

cnf(6421,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(a,b),a,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,2406]),
    [iquote('0:SpR:9.0,2406.0')] ).

cnf(5985,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(h,a),h,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,5966]),
    [iquote('0:Rew:2.0,5966.0')] ).

cnf(5897,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),a,h,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,5878]),
    [iquote('0:Rew:2.0,5878.0')] ).

cnf(5304,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),a,g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,5285]),
    [iquote('0:Rew:2.0,5285.0')] ).

cnf(503,plain,
    equal(ifeq(codomain(b),domain__dfg(u),codomain(compose(compose(h,compose(a,b)),u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[500,105]),
    [iquote('0:Rew:500.0,105.0')] ).

cnf(5200,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(g,a),g,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,5181]),
    [iquote('0:Rew:2.0,5181.0')] ).

cnf(443,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)],[2,380,1,9,23]),
    [iquote('0:Rew:2.0,380.0,1.0,380.0,9.0,380.0,23.0,380.0')] ).

cnf(442,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),compose(g,compose(domain__dfg(a),u)),compose(g,u)),compose(g,u)),
    inference(rew,[status(thm),theory(equality)],[2,383,1,132,23]),
    [iquote('0:Rew:2.0,383.0,1.0,383.0,132.0,383.0,23.0,383.0')] ).

cnf(2461,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(h,a),compose(g,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[519,660]),
    [iquote('0:SpR:519.0,660.0')] ).

cnf(211,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(u,compose(h,compose(a,b)))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[204,203]),
    [iquote('0:Rew:204.0,203.0')] ).

cnf(2460,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(h,a),compose(h,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[648,660]),
    [iquote('0:SpR:648.0,660.0')] ).

cnf(2447,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(a,b),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,659]),
    [iquote('0:SpR:500.0,659.0')] ).

cnf(2446,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(g,a),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,659]),
    [iquote('0:SpR:285.0,659.0')] ).

cnf(2444,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(h,a),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,659]),
    [iquote('0:SpR:284.0,659.0')] ).

cnf(2407,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,b),b,u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,264]),
    [iquote('0:SpR:1.0,264.0')] ).

cnf(2432,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(g,a),compose(g,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[519,521]),
    [iquote('0:SpR:519.0,521.0')] ).

cnf(2431,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(g,a),compose(h,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[648,521]),
    [iquote('0:SpR:648.0,521.0')] ).

cnf(2398,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(a,b),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[500,520]),
    [iquote('0:SpR:500.0,520.0')] ).

cnf(6433,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),domain__dfg(b),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[2,6417,1]),
    [iquote('0:Rew:2.0,6417.0,1.0,6417.0')] ).

cnf(2406,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(b,compose(u,b),u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,264]),
    [iquote('0:SpR:1.0,264.0')] ).

cnf(2397,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(g,a),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,520]),
    [iquote('0:SpR:285.0,520.0')] ).

cnf(2395,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(h,a),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,520]),
    [iquote('0:SpR:284.0,520.0')] ).

cnf(1821,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),domain__dfg(compose(compose(h,a),compose(a,b))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[284,1794]),
    [iquote('0:Rew:284.0,1794.0')] ).

cnf(1820,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),domain__dfg(compose(compose(g,a),compose(a,b))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[285,1795]),
    [iquote('0:Rew:285.0,1795.0')] ).

cnf(507,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(u,compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[500,208]),
    [iquote('0:Rew:500.0,208.0')] ).

cnf(1673,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)],[500,505]),
    [iquote('0:SpR:500.0,505.0')] ).

cnf(1672,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(compose(g,a),compose(a,b))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[285,505]),
    [iquote('0:SpR:285.0,505.0')] ).

cnf(1670,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(compose(h,a),compose(a,b))),codomain(b)),codomain(b)),
    inference(spr,[status(thm),theory(equality)],[284,505]),
    [iquote('0:SpR:284.0,505.0')] ).

cnf(1501,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(a,b),compose(g,a))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[519,504]),
    [iquote('0:SpR:519.0,504.0')] ).

cnf(506,plain,
    equal(ifeq(codomain(b),domain__dfg(u),domain__dfg(compose(compose(h,compose(a,b)),u)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[500,209]),
    [iquote('0:Rew:500.0,209.0')] ).

cnf(1500,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(a,b),compose(h,a))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[648,504]),
    [iquote('0:SpR:648.0,504.0')] ).

cnf(1498,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)],[133,504]),
    [iquote('0:SpR:133.0,504.0')] ).

cnf(883,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(h,compose(a,b)),g)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[501,854]),
    [iquote('0:Rew:501.0,854.0')] ).

cnf(848,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(h,compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,814]),
    [iquote('0:Rew:205.0,814.0')] ).

cnf(806,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(g,compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,773]),
    [iquote('0:Rew:205.0,773.0')] ).

cnf(759,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(h,compose(a,b)),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[501,165]),
    [iquote('0:SpR:501.0,165.0')] ).

cnf(750,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(a,compose(h,compose(a,b)))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[205,721]),
    [iquote('0:Rew:205.0,721.0')] ).

cnf(704,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(h,compose(a,b)),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[501,207]),
    [iquote('0:SpR:501.0,207.0')] ).

cnf(656,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(h,compose(h,compose(a,b)))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[205,164]),
    [iquote('0:SpR:205.0,164.0')] ).

cnf(479,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)],[2,403]),
    [iquote('0:Rew:2.0,403.0')] ).

cnf(641,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(g,compose(h,compose(a,b)))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[205,206]),
    [iquote('0:SpR:205.0,206.0')] ).

cnf(593,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(a,compose(h,compose(a,b)))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[205,126]),
    [iquote('0:SpR:205.0,126.0')] ).

cnf(510,plain,
    equal(ifeq(codomain(b),domain__dfg(a),codomain(compose(compose(h,compose(a,b)),a)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[500,280]),
    [iquote('0:Rew:500.0,280.0')] ).

cnf(5987,plain,
    equal(ifeq(compose(compose(h,a),a),compose(h,a),h,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,5972]),
    [iquote('0:Rew:1.0,5972.0')] ).

cnf(422,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)],[133,8]),
    [iquote('0:SpR:133.0,8.0')] ).

cnf(5986,plain,
    equal(ifeq(compose(compose(g,a),a),compose(h,a),h,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5974]),
    [iquote('0:Rew:1.0,5974.0')] ).

cnf(5978,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(h,a),h,g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2734]),
    [iquote('0:SpR:132.0,2734.0')] ).

cnf(2734,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(h,a),h,u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,2729]),
    [iquote('0:Rew:1.0,2729.0')] ).

cnf(5899,plain,
    equal(ifeq(compose(h,a),compose(compose(h,a),a),h,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,5884]),
    [iquote('0:Rew:1.0,5884.0')] ).

cnf(514,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)],[500,409]),
    [iquote('0:Rew:500.0,409.0')] ).

cnf(5898,plain,
    equal(ifeq(compose(h,a),compose(compose(g,a),a),h,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5886]),
    [iquote('0:Rew:1.0,5886.0')] ).

cnf(5890,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(g,a),h,g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2680]),
    [iquote('0:SpR:132.0,2680.0')] ).

cnf(2680,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,a),compose(u,a),h,u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,2675]),
    [iquote('0:Rew:1.0,2675.0')] ).

cnf(468,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)],[23,426]),
    [iquote('0:Rew:23.0,426.0')] ).

cnf(5752,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5740,451]),
    [iquote('0:Rew:1.0,5740.0,451.0,5740.0')] ).

cnf(5744,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(h,b),h,g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2636]),
    [iquote('0:SpR:132.0,2636.0')] ).

cnf(2636,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(h,b),h,u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,2631]),
    [iquote('0:Rew:1.0,2631.0')] ).

cnf(413,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(5545,plain,
    equal(ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5533,451]),
    [iquote('0:Rew:1.0,5533.0,451.0,5533.0')] ).

cnf(5537,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(g,b),h,g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2543]),
    [iquote('0:SpR:132.0,2543.0')] ).

cnf(2543,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(h,b),compose(u,b),h,u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,2538]),
    [iquote('0:Rew:1.0,2538.0')] ).

cnf(5306,plain,
    equal(ifeq(compose(g,a),compose(compose(h,a),a),g,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,5291]),
    [iquote('0:Rew:1.0,5291.0')] ).

cnf(420,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(5305,plain,
    equal(ifeq(compose(g,a),compose(compose(g,a),a),g,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5293]),
    [iquote('0:Rew:1.0,5293.0')] ).

cnf(5296,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),compose(h,a),g,h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2172]),
    [iquote('0:SpR:131.0,2172.0')] ).

cnf(2172,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(g,a),compose(u,a),g,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,321]),
    [iquote('0:SpR:1.0,321.0')] ).

cnf(5202,plain,
    equal(ifeq(compose(compose(h,a),a),compose(g,a),g,compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,5187]),
    [iquote('0:Rew:1.0,5187.0')] ).

cnf(308,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),a),w,ifeq(compose(u,a),w,u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,10]),
    [iquote('0:SpR:2.0,10.0')] ).

cnf(5201,plain,
    equal(ifeq(compose(compose(g,a),a),compose(g,a),g,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5189]),
    [iquote('0:Rew:1.0,5189.0')] ).

cnf(5192,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),compose(g,a),g,h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2169]),
    [iquote('0:SpR:131.0,2169.0')] ).

cnf(2169,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),compose(g,a),g,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,321]),
    [iquote('0:SpR:1.0,321.0')] ).

cnf(249,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(v),domain__dfg(b),ifeq(compose(domain__dfg(v),b),w,ifeq(compose(u,b),w,u,domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),domain__dfg(v)),
    inference(spr,[status(thm),theory(equality)],[2,11]),
    [iquote('0:SpR:2.0,11.0')] ).

cnf(5084,plain,
    equal(ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,5072,451]),
    [iquote('0:Rew:1.0,5072.0,451.0,5072.0')] ).

cnf(5075,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),compose(h,b),g,h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2133]),
    [iquote('0:SpR:131.0,2133.0')] ).

cnf(2133,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(g,b),compose(u,b),g,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,260]),
    [iquote('0:SpR:1.0,260.0')] ).

cnf(412,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)],[9,8]),
    [iquote('0:SpR:9.0,8.0')] ).

cnf(4949,plain,
    equal(ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,4937,451]),
    [iquote('0:Rew:1.0,4937.0,451.0,4937.0')] ).

cnf(4940,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,b),compose(g,b),g,h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2129]),
    [iquote('0:SpR:131.0,2129.0')] ).

cnf(2129,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),compose(g,b),g,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,260]),
    [iquote('0:SpR:1.0,260.0')] ).

cnf(1770,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),domain__dfg(compose(domain__dfg(u),compose(g,a))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[519,146]),
    [iquote('0:SpR:519.0,146.0')] ).

cnf(419,plain,
    equal(ifeq(codomain(u),domain__dfg(v),ifeq(domain__dfg(a),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)],[132,8]),
    [iquote('0:SpR:132.0,8.0')] ).

cnf(1769,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),domain__dfg(compose(domain__dfg(u),compose(h,a))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[648,146]),
    [iquote('0:SpR:648.0,146.0')] ).

cnf(1767,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)],[133,146]),
    [iquote('0:SpR:133.0,146.0')] ).

cnf(1654,plain,
    equal(ifeq(codomain(b),codomain(u),codomain(compose(compose(a,b),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,94]),
    [iquote('0:SpR:500.0,94.0')] ).

cnf(1653,plain,
    equal(ifeq(domain__dfg(b),codomain(u),codomain(compose(compose(g,a),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[285,94]),
    [iquote('0:SpR:285.0,94.0')] ).

cnf(425,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)],[9,8]),
    [iquote('0:SpR:9.0,8.0')] ).

cnf(1651,plain,
    equal(ifeq(domain__dfg(b),codomain(u),codomain(compose(compose(h,a),codomain(u))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[284,94]),
    [iquote('0:SpR:284.0,94.0')] ).

cnf(1368,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(codomain(u),compose(g,a))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[519,145]),
    [iquote('0:SpR:519.0,145.0')] ).

cnf(1367,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(codomain(u),compose(h,a))),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[648,145]),
    [iquote('0:SpR:648.0,145.0')] ).

cnf(1365,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)],[133,145]),
    [iquote('0:SpR:133.0,145.0')] ).

cnf(449,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),ifeq(codomain(v),domain__dfg(h),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)],[204,432]),
    [iquote('0:Rew:204.0,432.0')] ).

cnf(1099,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)],[500,93]),
    [iquote('0:SpR:500.0,93.0')] ).

cnf(1098,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(compose(g,a),domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[285,93]),
    [iquote('0:SpR:285.0,93.0')] ).

cnf(1096,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(compose(h,a),domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[284,93]),
    [iquote('0:SpR:284.0,93.0')] ).

cnf(2094,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,a),compose(a,a),u,a),a),a),
    inference(spr,[status(thm),theory(equality)],[1,323]),
    [iquote('0:SpR:1.0,323.0')] ).

cnf(454,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)],[3,387]),
    [iquote('0:Rew:3.0,387.0')] ).

cnf(2093,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,a),compose(u,a),u,a),a),a),
    inference(spr,[status(thm),theory(equality)],[1,323]),
    [iquote('0:SpR:1.0,323.0')] ).

cnf(4069,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(b,compose(a,b),domain__dfg(b),a),a),a),
    inference(rew,[status(thm),theory(equality)],[2,4051]),
    [iquote('0:Rew:2.0,4051.0')] ).

cnf(2055,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(u,b),compose(a,b),u,a),a),a),
    inference(spr,[status(thm),theory(equality)],[1,262]),
    [iquote('0:SpR:1.0,262.0')] ).

cnf(4025,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(compose(a,b),b,domain__dfg(b),a),a),a),
    inference(rew,[status(thm),theory(equality)],[2,4007]),
    [iquote('0:Rew:2.0,4007.0')] ).

cnf(325,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,v,ifeq(compose(u,a),v,u,domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,305]),
    [iquote('0:Rew:2.0,305.0')] ).

cnf(2054,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),compose(u,b),u,a),a),a),
    inference(spr,[status(thm),theory(equality)],[1,262]),
    [iquote('0:SpR:1.0,262.0')] ).

cnf(1732,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(compose(g,a),domain__dfg(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[285,1688]),
    [iquote('0:Rew:285.0,1688.0')] ).

cnf(1731,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(compose(h,a),domain__dfg(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[284,1687]),
    [iquote('0:Rew:284.0,1687.0')] ).

cnf(1607,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)],[133,1568]),
    [iquote('0:Rew:133.0,1568.0')] ).

cnf(315,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),w,ifeq(compose(domain__dfg(u),a),w,domain__dfg(u),v),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,10]),
    [iquote('0:SpR:2.0,10.0')] ).

cnf(1606,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(codomain(u),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,1567]),
    [iquote('0:Rew:519.0,1567.0')] ).

cnf(1605,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(codomain(u),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,1565]),
    [iquote('0:Rew:648.0,1565.0')] ).

cnf(1497,plain,
    equal(ifeq(codomain(b),domain__dfg(u),domain__dfg(compose(compose(a,b),domain__dfg(u))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[23,504]),
    [iquote('0:SpR:23.0,504.0')] ).

cnf(1239,plain,
    equal(ifeq(domain__dfg(b),codomain(u),domain__dfg(compose(compose(g,a),codomain(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[285,1195]),
    [iquote('0:Rew:285.0,1195.0')] ).

cnf(255,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),w,ifeq(compose(domain__dfg(u),b),w,domain__dfg(u),v),v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[2,11]),
    [iquote('0:SpR:2.0,11.0')] ).

cnf(1238,plain,
    equal(ifeq(domain__dfg(b),codomain(u),domain__dfg(compose(compose(h,a),codomain(u))),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[284,1194]),
    [iquote('0:Rew:284.0,1194.0')] ).

cnf(1237,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)],[500,1192]),
    [iquote('0:Rew:500.0,1192.0')] ).

cnf(974,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)],[133,931]),
    [iquote('0:Rew:133.0,931.0')] ).

cnf(973,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),codomain(compose(domain__dfg(u),compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,930]),
    [iquote('0:Rew:519.0,930.0')] ).

cnf(314,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(a,a),v,a,u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,10]),
    [iquote('0:SpR:9.0,10.0')] ).

cnf(972,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),codomain(compose(domain__dfg(u),compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,928]),
    [iquote('0:Rew:648.0,928.0')] ).

cnf(1727,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)],[2,1684]),
    [iquote('0:Rew:2.0,1684.0')] ).

cnf(1602,plain,
    equal(ifeq(codomain(u),codomain(v),codomain(compose(codomain(u),codomain(v))),codomain(v)),codomain(v)),
    inference(rew,[status(thm),theory(equality)],[3,1564]),
    [iquote('0:Rew:3.0,1564.0')] ).

cnf(1364,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)],[23,145]),
    [iquote('0:SpR:23.0,145.0')] ).

cnf(254,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(a,b),v,a,u),u),u),u),u),
    inference(spr,[status(thm),theory(equality)],[9,11]),
    [iquote('0:SpR:9.0,11.0')] ).

cnf(1234,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)],[2,1191]),
    [iquote('0:Rew:2.0,1191.0')] ).

cnf(1233,plain,
    equal(ifeq(codomain(u),codomain(v),domain__dfg(compose(codomain(u),codomain(v))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[25,1190]),
    [iquote('0:Rew:25.0,1190.0')] ).

cnf(1095,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)],[25,93]),
    [iquote('0:SpR:25.0,93.0')] ).

cnf(969,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)],[3,927]),
    [iquote('0:Rew:3.0,927.0')] ).

cnf(313,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),v,ifeq(compose(u,a),v,u,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,10]),
    [iquote('0:SpR:132.0,10.0')] ).

cnf(968,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)],[23,926]),
    [iquote('0:Rew:23.0,926.0')] ).

cnf(3162,plain,
    equal(ifeq(a,compose(compose(h,a),a),domain__dfg(a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,3151]),
    [iquote('0:Rew:1.0,3151.0')] ).

cnf(3161,plain,
    equal(ifeq(a,compose(compose(g,a),a),domain__dfg(a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3153]),
    [iquote('0:Rew:1.0,3153.0')] ).

cnf(3157,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(g,a),domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2026]),
    [iquote('0:SpR:132.0,2026.0')] ).

cnf(253,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,b),v,ifeq(compose(u,b),v,u,g),g),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,11]),
    [iquote('0:SpR:132.0,11.0')] ).

cnf(3156,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(a,compose(h,a),domain__dfg(a),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2026]),
    [iquote('0:SpR:131.0,2026.0')] ).

cnf(2026,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(a,compose(u,a),domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,324]),
    [iquote('0:SpR:1.0,324.0')] ).

cnf(3118,plain,
    equal(ifeq(compose(compose(h,a),a),a,domain__dfg(a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,3107]),
    [iquote('0:Rew:1.0,3107.0')] ).

cnf(3117,plain,
    equal(ifeq(compose(compose(g,a),a),a,domain__dfg(a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,3109]),
    [iquote('0:Rew:1.0,3109.0')] ).

cnf(515,plain,
    equal(ifeq(codomain(b),domain__dfg(u),compose(g,compose(compose(a,b),u)),compose(compose(h,compose(a,b)),u)),compose(compose(h,compose(a,b)),u)),
    inference(rew,[status(thm),theory(equality)],[500,482]),
    [iquote('0:Rew:500.0,482.0')] ).

cnf(3113,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(g,a),a,domain__dfg(a),g),g),g),
    inference(spr,[status(thm),theory(equality)],[132,2024]),
    [iquote('0:SpR:132.0,2024.0')] ).

cnf(3112,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),ifeq(compose(h,a),a,domain__dfg(a),h),h),h),
    inference(spr,[status(thm),theory(equality)],[131,2024]),
    [iquote('0:SpR:131.0,2024.0')] ).

cnf(3116,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),domain__dfg(a),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[2,3102,1]),
    [iquote('0:Rew:2.0,3102.0,1.0,3102.0')] ).

cnf(2024,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),a,domain__dfg(a),u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,324]),
    [iquote('0:SpR:1.0,324.0')] ).

cnf(480,plain,
    equal(ifeq(codomain(u),domain__dfg(h),compose(u,compose(h,compose(a,b))),compose(compose(u,g),compose(a,b))),compose(compose(u,g),compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,397,132,133,204]),
    [iquote('0:Rew:1.0,397.0,132.0,397.0,133.0,397.0,204.0,397.0')] ).

cnf(680,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(u,compose(h,a))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[648,6]),
    [iquote('0:SpR:648.0,6.0')] ).

cnf(559,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(u,compose(g,a))),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[519,6]),
    [iquote('0:SpR:519.0,6.0')] ).

cnf(534,plain,
    equal(ifeq(codomain(b),domain__dfg(u),codomain(compose(compose(a,b),u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[500,7]),
    [iquote('0:SpR:500.0,7.0')] ).

cnf(331,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(compose(g,a),u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[285,7]),
    [iquote('0:SpR:285.0,7.0')] ).

cnf(263,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(b,v,domain__dfg(b),u),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[2,244]),
    [iquote('0:Rew:2.0,244.0')] ).

cnf(290,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(compose(h,a),u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[284,7]),
    [iquote('0:SpR:284.0,7.0')] ).

cnf(2698,plain,
    equal(ifeq(b,compose(h,b),h,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,2418]),
    [iquote('0:SpR:1.0,2418.0')] ).

cnf(304,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),compose(u,a),u,v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[1,10]),
    [iquote('0:SpR:1.0,10.0')] ).

cnf(2695,plain,
    equal(ifeq(compose(h,b),b,h,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2418,1]),
    [iquote('0:SpR:2418.0,1.0')] ).

cnf(2418,plain,
    equal(ifeq(b,u,ifeq(compose(h,b),u,h,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,2415]),
    [iquote('0:Rew:1.0,2415.0')] ).

cnf(2651,plain,
    equal(ifeq(b,compose(g,b),g,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[1,2148]),
    [iquote('0:SpR:1.0,2148.0')] ).

cnf(2648,plain,
    equal(ifeq(compose(g,b),b,g,domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[2148,1]),
    [iquote('0:SpR:2148.0,1.0')] ).

cnf(306,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(u,a),compose(v,a),u,v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[1,10]),
    [iquote('0:SpR:1.0,10.0')] ).

cnf(2148,plain,
    equal(ifeq(b,u,ifeq(compose(g,b),u,g,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,2131,2]),
    [iquote('0:Rew:1.0,2131.0,2.0,2131.0')] ).

cnf(2601,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(h,a),compose(h,a)),compose(h,a)),
    inference(rew,[status(thm),theory(equality)],[1,2588]),
    [iquote('0:Rew:1.0,2588.0')] ).

cnf(2600,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),compose(g,a),compose(g,a)),compose(g,a)),
    inference(rew,[status(thm),theory(equality)],[1,2590]),
    [iquote('0:Rew:1.0,2590.0')] ).

cnf(2596,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),g,g),g),
    inference(rew,[status(thm),theory(equality)],[1,2584]),
    [iquote('0:Rew:1.0,2584.0')] ).

cnf(245,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),compose(u,b),u,v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[1,11]),
    [iquote('0:SpR:1.0,11.0')] ).

cnf(2595,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(b),h,h),h),
    inference(rew,[status(thm),theory(equality)],[1,2583]),
    [iquote('0:Rew:1.0,2583.0')] ).

cnf(2594,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),a,a),a),
    inference(rew,[status(thm),theory(equality)],[1,2576]),
    [iquote('0:Rew:1.0,2576.0')] ).

cnf(2519,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(u),domain__dfg(b),u,u),u),u),
    inference(spr,[status(thm),theory(equality)],[1,247]),
    [iquote('0:SpR:1.0,247.0')] ).

cnf(247,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(u,b),compose(v,b),u,v),v),v),v),
    inference(spr,[status(thm),theory(equality)],[1,11]),
    [iquote('0:SpR:1.0,11.0')] ).

cnf(660,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(compose(h,a),u)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[648,291]),
    [iquote('0:Rew:648.0,291.0')] ).

cnf(659,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(u,compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,294]),
    [iquote('0:Rew:648.0,294.0')] ).

cnf(521,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),domain__dfg(compose(compose(g,a),u)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[519,332]),
    [iquote('0:Rew:519.0,332.0')] ).

cnf(264,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(b,v,ifeq(compose(u,b),v,u,domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,246,2]),
    [iquote('0:Rew:1.0,246.0,2.0,246.0')] ).

cnf(520,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(u,compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,336]),
    [iquote('0:Rew:519.0,336.0')] ).

cnf(879,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(g,a),g)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[285,856]),
    [iquote('0:Rew:285.0,856.0')] ).

cnf(878,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(compose(h,a),g)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[284,855]),
    [iquote('0:Rew:284.0,855.0')] ).

cnf(877,plain,
    equal(ifeq(codomain(b),domain__dfg(h),domain__dfg(compose(compose(a,b),g)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[500,853]),
    [iquote('0:Rew:500.0,853.0')] ).

cnf(466,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)],[1,390,2,23]),
    [iquote('0:Rew:1.0,390.0,2.0,390.0,23.0,390.0')] ).

cnf(842,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(h,compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,815]),
    [iquote('0:Rew:519.0,815.0')] ).

cnf(841,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(h,compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,813]),
    [iquote('0:Rew:648.0,813.0')] ).

cnf(801,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(g,compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,774]),
    [iquote('0:Rew:519.0,774.0')] ).

cnf(800,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(g,compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,772]),
    [iquote('0:Rew:648.0,772.0')] ).

cnf(460,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)],[1,394,3]),
    [iquote('0:Rew:1.0,394.0,3.0,394.0')] ).

cnf(761,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(a,b),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[500,165]),
    [iquote('0:SpR:500.0,165.0')] ).

cnf(760,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(g,a),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[285,165]),
    [iquote('0:SpR:285.0,165.0')] ).

cnf(758,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(h,a),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[284,165]),
    [iquote('0:SpR:284.0,165.0')] ).

cnf(746,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)],[133,723]),
    [iquote('0:Rew:133.0,723.0')] ).

cnf(321,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(compose(g,a),v,g,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,320]),
    [iquote('0:Rew:1.0,320.0')] ).

cnf(2157,plain,
    equal(ifeq(compose(a,a),compose(h,a),h,a),a),
    inference(spr,[status(thm),theory(equality)],[1,2105]),
    [iquote('0:SpR:1.0,2105.0')] ).

cnf(2153,plain,
    equal(ifeq(compose(h,a),compose(a,a),h,a),a),
    inference(spr,[status(thm),theory(equality)],[2105,1]),
    [iquote('0:SpR:2105.0,1.0')] ).

cnf(2105,plain,
    equal(ifeq(compose(a,a),u,ifeq(compose(h,a),u,h,a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,2102]),
    [iquote('0:Rew:1.0,2102.0')] ).

cnf(2118,plain,
    equal(ifeq(compose(a,a),compose(g,a),g,a),a),
    inference(spr,[status(thm),theory(equality)],[1,2104]),
    [iquote('0:SpR:1.0,2104.0')] ).

cnf(260,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,b),v,ifeq(compose(g,b),v,g,u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,259]),
    [iquote('0:Rew:1.0,259.0')] ).

cnf(2114,plain,
    equal(ifeq(compose(g,a),compose(a,a),g,a),a),
    inference(spr,[status(thm),theory(equality)],[2104,1]),
    [iquote('0:SpR:2104.0,1.0')] ).

cnf(2104,plain,
    equal(ifeq(compose(a,a),u,ifeq(compose(g,a),u,g,a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,2103]),
    [iquote('0:Rew:1.0,2103.0')] ).

cnf(2088,plain,
    equal(ifeq(compose(a,b),compose(h,b),h,a),a),
    inference(spr,[status(thm),theory(equality)],[1,2066]),
    [iquote('0:SpR:1.0,2066.0')] ).

cnf(2084,plain,
    equal(ifeq(compose(h,b),compose(a,b),h,a),a),
    inference(spr,[status(thm),theory(equality)],[2066,1]),
    [iquote('0:SpR:2066.0,1.0')] ).

cnf(323,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,a),v,ifeq(compose(u,a),v,u,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,307]),
    [iquote('0:Rew:1.0,307.0')] ).

cnf(2066,plain,
    equal(ifeq(compose(a,b),u,ifeq(compose(h,b),u,h,a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,2063]),
    [iquote('0:Rew:1.0,2063.0')] ).

cnf(2074,plain,
    equal(ifeq(compose(a,b),compose(g,b),g,a),a),
    inference(spr,[status(thm),theory(equality)],[1,2065]),
    [iquote('0:SpR:1.0,2065.0')] ).

cnf(2070,plain,
    equal(ifeq(compose(g,b),compose(a,b),g,a),a),
    inference(spr,[status(thm),theory(equality)],[2065,1]),
    [iquote('0:SpR:2065.0,1.0')] ).

cnf(2065,plain,
    equal(ifeq(compose(a,b),u,ifeq(compose(g,b),u,g,a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,2064]),
    [iquote('0:Rew:1.0,2064.0')] ).

cnf(262,plain,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(compose(a,b),v,ifeq(compose(u,b),v,u,a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,248]),
    [iquote('0:Rew:1.0,248.0')] ).

cnf(745,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(a,compose(g,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[519,722]),
    [iquote('0:Rew:519.0,722.0')] ).

cnf(2043,plain,
    equal(ifeq(compose(a,a),a,domain__dfg(a),a),a),
    inference(spr,[status(thm),theory(equality)],[1,2036]),
    [iquote('0:SpR:1.0,2036.0')] ).

cnf(2040,plain,
    equal(ifeq(a,compose(a,a),domain__dfg(a),a),a),
    inference(spr,[status(thm),theory(equality)],[2036,1]),
    [iquote('0:SpR:2036.0,1.0')] ).

cnf(2036,plain,
    equal(ifeq(compose(a,a),u,ifeq(a,u,domain__dfg(a),a),a),a),
    inference(rew,[status(thm),theory(equality)],[1,2027]),
    [iquote('0:Rew:1.0,2027.0')] ).

cnf(324,plain,
    equal(ifeq(codomain(u),domain__dfg(b),ifeq(compose(u,a),v,ifeq(a,v,domain__dfg(a),u),u),u),u),
    inference(rew,[status(thm),theory(equality)],[1,303,2]),
    [iquote('0:Rew:1.0,303.0,2.0,303.0')] ).

cnf(744,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(a,compose(h,a))),domain__dfg(b)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[648,720]),
    [iquote('0:Rew:648.0,720.0')] ).

cnf(706,plain,
    equal(ifeq(codomain(b),domain__dfg(h),codomain(compose(compose(a,b),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[500,207]),
    [iquote('0:SpR:500.0,207.0')] ).

cnf(705,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(g,a),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[285,207]),
    [iquote('0:SpR:285.0,207.0')] ).

cnf(703,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(compose(h,a),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[284,207]),
    [iquote('0:SpR:284.0,207.0')] ).

cnf(444,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)],[25,378,1,3]),
    [iquote('0:Rew:25.0,378.0,1.0,378.0,3.0,378.0')] ).

cnf(675,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(h,compose(h,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[648,164]),
    [iquote('0:SpR:648.0,164.0')] ).

cnf(674,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(g,compose(h,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[648,206]),
    [iquote('0:SpR:648.0,206.0')] ).

cnf(673,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(a,compose(h,a))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[648,126]),
    [iquote('0:SpR:648.0,126.0')] ).

cnf(657,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(h,compose(g,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[519,164]),
    [iquote('0:SpR:519.0,164.0')] ).

cnf(436,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)],[1,374,2]),
    [iquote('0:Rew:1.0,374.0,2.0,374.0')] ).

cnf(642,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(g,compose(g,a))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[519,206]),
    [iquote('0:SpR:519.0,206.0')] ).

cnf(594,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(a,compose(g,a))),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[519,126]),
    [iquote('0:SpR:519.0,126.0')] ).

cnf(592,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)],[133,126]),
    [iquote('0:SpR:133.0,126.0')] ).

cnf(537,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)],[500,70]),
    [iquote('0:SpR:500.0,70.0')] ).

cnf(147,plain,
    equal(ifeq(codomain(u),domain__dfg(a),domain__dfg(compose(u,compose(a,b))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[131,125]),
    [iquote('0:Rew:131.0,125.0')] ).

cnf(334,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(compose(g,a),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[285,70]),
    [iquote('0:SpR:285.0,70.0')] ).

cnf(293,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(a),codomain(compose(compose(h,a),a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[284,70]),
    [iquote('0:SpR:284.0,70.0')] ).

cnf(146,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)],[2,112]),
    [iquote('0:Rew:2.0,112.0')] ).

cnf(124,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)],[23,6]),
    [iquote('0:SpR:23.0,6.0')] ).

cnf(505,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(u,compose(a,b))),codomain(b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[500,138]),
    [iquote('0:Rew:500.0,138.0')] ).

cnf(94,plain,
    equal(ifeq(codomain(u),codomain(v),codomain(compose(u,codomain(v))),codomain(v)),codomain(v)),
    inference(rew,[status(thm),theory(equality)],[3,73]),
    [iquote('0:Rew:3.0,73.0')] ).

cnf(88,plain,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(codomain(u),v)),codomain(v)),codomain(v)),
    inference(spr,[status(thm),theory(equality)],[25,7]),
    [iquote('0:SpR:25.0,7.0')] ).

cnf(874,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),domain__dfg(compose(domain__dfg(u),g)),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[2,852]),
    [iquote('0:Rew:2.0,852.0')] ).

cnf(873,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(codomain(u),g)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[25,851]),
    [iquote('0:Rew:25.0,851.0')] ).

cnf(504,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)],[500,152]),
    [iquote('0:Rew:500.0,152.0')] ).

cnf(838,plain,
    equal(ifeq(domain__dfg(a),codomain(u),codomain(compose(h,codomain(u))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[3,812]),
    [iquote('0:Rew:3.0,812.0')] ).

cnf(837,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),codomain(compose(h,domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[23,811]),
    [iquote('0:Rew:23.0,811.0')] ).

cnf(797,plain,
    equal(ifeq(domain__dfg(a),codomain(u),codomain(compose(g,codomain(u))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[3,771]),
    [iquote('0:Rew:3.0,771.0')] ).

cnf(796,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),codomain(compose(g,domain__dfg(u))),domain__dfg(u)),domain__dfg(u)),
    inference(rew,[status(thm),theory(equality)],[23,770]),
    [iquote('0:Rew:23.0,770.0')] ).

cnf(145,plain,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(codomain(u),v)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[25,111]),
    [iquote('0:Rew:25.0,111.0')] ).

cnf(741,plain,
    equal(ifeq(domain__dfg(b),codomain(u),codomain(compose(a,codomain(u))),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[3,719]),
    [iquote('0:Rew:3.0,719.0')] ).

cnf(740,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)],[23,718]),
    [iquote('0:Rew:23.0,718.0')] ).

cnf(757,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(codomain(u),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,165]),
    [iquote('0:SpR:25.0,165.0')] ).

cnf(756,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),codomain(compose(domain__dfg(u),h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,165]),
    [iquote('0:SpR:2.0,165.0')] ).

cnf(123,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(702,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(codomain(u),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[25,207]),
    [iquote('0:SpR:25.0,207.0')] ).

cnf(701,plain,
    equal(ifeq(domain__dfg(u),domain__dfg(h),codomain(compose(domain__dfg(u),g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[2,207]),
    [iquote('0:SpR:2.0,207.0')] ).

cnf(654,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),domain__dfg(compose(h,domain__dfg(u))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[23,164]),
    [iquote('0:SpR:23.0,164.0')] ).

cnf(653,plain,
    equal(ifeq(domain__dfg(a),codomain(u),domain__dfg(compose(h,codomain(u))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[3,164]),
    [iquote('0:SpR:3.0,164.0')] ).

cnf(93,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)],[23,72]),
    [iquote('0:Rew:23.0,72.0')] ).

cnf(639,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),domain__dfg(compose(g,domain__dfg(u))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[23,206]),
    [iquote('0:SpR:23.0,206.0')] ).

cnf(638,plain,
    equal(ifeq(domain__dfg(a),codomain(u),domain__dfg(compose(g,codomain(u))),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[3,206]),
    [iquote('0:SpR:3.0,206.0')] ).

cnf(591,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)],[23,126]),
    [iquote('0:SpR:23.0,126.0')] ).

cnf(590,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)],[3,126]),
    [iquote('0:SpR:3.0,126.0')] ).

cnf(87,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(279,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)],[25,70]),
    [iquote('0:SpR:25.0,70.0')] ).

cnf(278,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)],[2,70]),
    [iquote('0:SpR:2.0,70.0')] ).

cnf(222,plain,
    equal(ifeq(codomain(u),domain__dfg(h),domain__dfg(compose(u,g)),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[204,6]),
    [iquote('0:SpR:204.0,6.0')] ).

cnf(163,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),codomain(compose(h,u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[131,7]),
    [iquote('0:SpR:131.0,7.0')] ).

cnf(137,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),codomain(compose(g,u)),codomain(u)),codomain(u)),
    inference(rew,[status(thm),theory(equality)],[131,86]),
    [iquote('0:Rew:131.0,86.0')] ).

cnf(763,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(g,h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[132,165]),
    [iquote('0:SpR:132.0,165.0')] ).

cnf(762,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(h,h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[131,165]),
    [iquote('0:SpR:131.0,165.0')] ).

cnf(165,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(u,h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[131,7]),
    [iquote('0:SpR:131.0,7.0')] ).

cnf(724,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(a,h)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[131,85]),
    [iquote('0:SpR:131.0,85.0')] ).

cnf(85,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(u),codomain(compose(a,u)),codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[9,7]),
    [iquote('0:SpR:9.0,7.0')] ).

cnf(708,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(g,g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[132,207]),
    [iquote('0:SpR:132.0,207.0')] ).

cnf(707,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),codomain(compose(h,g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[131,207]),
    [iquote('0:SpR:131.0,207.0')] ).

cnf(700,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),codomain(compose(a,g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[9,207]),
    [iquote('0:SpR:9.0,207.0')] ).

cnf(658,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(h,g)),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[204,164]),
    [iquote('0:SpR:204.0,164.0')] ).

cnf(207,plain,
    equal(ifeq(codomain(u),domain__dfg(h),codomain(compose(u,g)),domain__dfg(a)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[204,136]),
    [iquote('0:Rew:204.0,136.0')] ).

cnf(669,plain,
    equal(compose(domain__dfg(h),compose(h,a)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[648,4]),
    [iquote('0:SpR:648.0,4.0')] ).

cnf(648,plain,
    equal(domain__dfg(compose(h,a)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[164,1]),
    [iquote('0:SpR:164.0,1.0')] ).

cnf(164,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),domain__dfg(compose(h,u)),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[131,6]),
    [iquote('0:SpR:131.0,6.0')] ).

cnf(643,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(h),domain__dfg(compose(g,g)),domain__dfg(h)),domain__dfg(h)),
    inference(spr,[status(thm),theory(equality)],[204,206]),
    [iquote('0:SpR:204.0,206.0')] ).

cnf(206,plain,
    equal(ifeq(domain__dfg(a),domain__dfg(u),domain__dfg(compose(g,u)),domain__dfg(h)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[204,143]),
    [iquote('0:Rew:204.0,143.0')] ).

cnf(595,plain,
    equal(ifeq(domain__dfg(b),domain__dfg(h),domain__dfg(compose(a,g)),domain__dfg(a)),domain__dfg(a)),
    inference(spr,[status(thm),theory(equality)],[204,126]),
    [iquote('0:SpR:204.0,126.0')] ).

cnf(502,plain,
    equal(compose(compose(h,compose(a,b)),codomain(b)),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[500,103]),
    [iquote('0:Rew:500.0,103.0')] ).

cnf(552,plain,
    equal(compose(domain__dfg(h),compose(g,a)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[519,4]),
    [iquote('0:SpR:519.0,4.0')] ).

cnf(532,plain,
    equal(compose(compose(a,b),codomain(b)),compose(a,b)),
    inference(spr,[status(thm),theory(equality)],[500,5]),
    [iquote('0:SpR:500.0,5.0')] ).

cnf(126,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)],[9,6]),
    [iquote('0:SpR:9.0,6.0')] ).

cnf(501,plain,
    equal(codomain(compose(h,compose(a,b))),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[500,100]),
    [iquote('0:Rew:500.0,100.0')] ).

cnf(519,plain,
    equal(domain__dfg(compose(g,a)),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[1,493,285,205]),
    [iquote('0:Rew:1.0,493.0,285.0,493.0,205.0,493.0')] ).

cnf(500,plain,
    equal(codomain(compose(a,b)),codomain(b)),
    inference(rew,[status(thm),theory(equality)],[1,492,285,100]),
    [iquote('0:Rew:1.0,492.0,285.0,492.0,100.0,492.0')] ).

cnf(451,plain,
    equal(compose(compose(g,a),b),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[1,405,9,132]),
    [iquote('0:Rew:1.0,405.0,9.0,405.0,1.0,405.0,132.0,405.0')] ).

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('CAT002-10.p',unknown),
    [] ).

cnf(277,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)],[9,70]),
    [iquote('0:SpR:9.0,70.0')] ).

cnf(329,plain,
    equal(compose(compose(g,a),domain__dfg(b)),compose(g,a)),
    inference(spr,[status(thm),theory(equality)],[285,5]),
    [iquote('0:SpR:285.0,5.0')] ).

cnf(288,plain,
    equal(compose(compose(h,a),domain__dfg(b)),compose(h,a)),
    inference(spr,[status(thm),theory(equality)],[284,5]),
    [iquote('0:SpR:284.0,5.0')] ).

cnf(285,plain,
    equal(codomain(compose(g,a)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,282]),
    [iquote('0:Rew:1.0,282.0')] ).

cnf(10,axiom,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,a),w,ifeq(compose(u,a),w,u,v),v),v),v),v),
    file('CAT002-10.p',unknown),
    [] ).

cnf(284,plain,
    equal(codomain(compose(h,a)),domain__dfg(b)),
    inference(rew,[status(thm),theory(equality)],[1,281]),
    [iquote('0:Rew:1.0,281.0')] ).

cnf(70,plain,
    equal(ifeq(codomain(u),domain__dfg(a),codomain(compose(u,a)),domain__dfg(b)),domain__dfg(b)),
    inference(spr,[status(thm),theory(equality)],[9,7]),
    [iquote('0:SpR:9.0,7.0')] ).

cnf(210,plain,
    equal(compose(domain__dfg(h),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(rew,[status(thm),theory(equality)],[204,197]),
    [iquote('0:Rew:204.0,197.0')] ).

cnf(135,plain,
    equal(compose(domain__dfg(a),compose(a,b)),compose(a,b)),
    inference(rew,[status(thm),theory(equality)],[131,46]),
    [iquote('0:Rew:131.0,46.0')] ).

cnf(11,axiom,
    equal(ifeq(codomain(u),domain__dfg(a),ifeq(codomain(v),domain__dfg(b),ifeq(compose(v,b),w,ifeq(compose(u,b),w,u,v),v),v),v),v),
    file('CAT002-10.p',unknown),
    [] ).

cnf(205,plain,
    equal(domain__dfg(compose(h,compose(a,b))),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[204,154]),
    [iquote('0:Rew:204.0,154.0')] ).

cnf(218,plain,
    equal(compose(domain__dfg(h),g),g),
    inference(spr,[status(thm),theory(equality)],[204,4]),
    [iquote('0:SpR:204.0,4.0')] ).

cnf(204,plain,
    equal(domain__dfg(g),domain__dfg(h)),
    inference(rew,[status(thm),theory(equality)],[1,200,131,133]),
    [iquote('0:Rew:1.0,200.0,131.0,200.0,133.0,200.0')] ).

cnf(133,plain,
    equal(domain__dfg(compose(a,b)),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[131,17]),
    [iquote('0:Rew:131.0,17.0')] ).

cnf(161,plain,
    equal(compose(h,domain__dfg(a)),h),
    inference(spr,[status(thm),theory(equality)],[131,5]),
    [iquote('0:SpR:131.0,5.0')] ).

cnf(134,plain,
    equal(compose(g,domain__dfg(a)),g),
    inference(rew,[status(thm),theory(equality)],[131,41]),
    [iquote('0:Rew:131.0,41.0')] ).

cnf(132,plain,
    equal(codomain(g),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[131,16]),
    [iquote('0:Rew:131.0,16.0')] ).

cnf(131,plain,
    equal(codomain(h),domain__dfg(a)),
    inference(rew,[status(thm),theory(equality)],[1,122,9]),
    [iquote('0:Rew:1.0,122.0,9.0,122.0')] ).

cnf(6,axiom,
    equal(ifeq(codomain(u),domain__dfg(v),domain__dfg(compose(u,v)),domain__dfg(u)),domain__dfg(u)),
    file('CAT002-10.p',unknown),
    [] ).

cnf(7,axiom,
    equal(ifeq(codomain(u),domain__dfg(v),codomain(compose(u,v)),codomain(v)),codomain(v)),
    file('CAT002-10.p',unknown),
    [] ).

cnf(38,plain,
    equal(compose(domain__dfg(u),domain__dfg(u)),domain__dfg(u)),
    inference(spr,[status(thm),theory(equality)],[23,4]),
    [iquote('0:SpR:23.0,4.0')] ).

cnf(14,axiom,
    equal(compose(g,compose(a,b)),compose(h,compose(a,b))),
    file('CAT002-10.p',unknown),
    [] ).

cnf(37,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('CAT002-10.p',unknown),
    [] ).

cnf(40,plain,
    equal(compose(a,domain__dfg(b)),a),
    inference(spr,[status(thm),theory(equality)],[9,5]),
    [iquote('0:SpR:9.0,5.0')] ).

cnf(5,axiom,
    equal(compose(u,codomain(u)),u),
    file('CAT002-10.p',unknown),
    [] ).

cnf(4,axiom,
    equal(compose(domain__dfg(u),u),u),
    file('CAT002-10.p',unknown),
    [] ).

cnf(25,plain,
    equal(codomain(codomain(u)),codomain(u)),
    inference(spr,[status(thm),theory(equality)],[3,2]),
    [iquote('0:SpR:3.0,2.0')] ).

cnf(23,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('CAT002-10.p',unknown),
    [] ).

cnf(3,axiom,
    equal(domain__dfg(codomain(u)),codomain(u)),
    file('CAT002-10.p',unknown),
    [] ).

cnf(9,axiom,
    equal(codomain(a),domain__dfg(b)),
    file('CAT002-10.p',unknown),
    [] ).

cnf(15,axiom,
    ~ equal(g,h),
    file('CAT002-10.p',unknown),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CAT002-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n029.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 17:14:43 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 42.58/42.76  
% 42.58/42.76  SPASS V 3.9 
% 42.58/42.76  SPASS beiseite: Completion found.
% 42.58/42.76  % SZS status CounterSatisfiable
% 42.58/42.76  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 42.58/42.76  SPASS derived 52216 clauses, backtracked 0 clauses, performed 0 splits and kept 2548 clauses.
% 42.58/42.76  SPASS allocated 112034 KBytes.
% 42.58/42.76  SPASS spent	0:0:42.42 on the problem.
% 42.58/42.76  		0:00:00.03 for the input.
% 42.58/42.76  		0:00:00.00 for the FLOTTER CNF translation.
% 42.58/42.76  		0:00:03.34 for inferences.
% 42.58/42.76  		0:00:00.00 for the backtracking.
% 42.58/42.76  		0:0:38.26 for the reduction.
% 42.58/42.76  
% 42.58/42.76  
% 42.58/42.76   The saturated set of worked-off clauses is :
% 42.58/42.76  % SZS output start Saturation
% See solution above
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