Vampire---5.0.1.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CAT002-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:36:32 AM UTC 2026

% Result   : Satisfiable 22.75s 4.04s
% Output   : Saturation 24.39s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u31279,hypothesis,
    compose(compose(domain(X0),compose(g,a)),b) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),compose(g,a)),b)) ).

cnf(u1995,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(X0,b),X0,g),g),g) ).

cnf(u11132,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),codomain(compose(compose(h,compose(a,b)),a)),domain(b)) ).

cnf(u4769,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(g,a),compose(compose(h,compose(a,b)),a),g,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u2680,hypothesis,
    compose(compose(a,b),domain(b)) = ifeq(codomain(b),domain(b),compose(domain(a),compose(compose(a,b),domain(b))),compose(compose(a,b),domain(b))) ).

cnf(u32105,hypothesis,
    compose(compose(compose(a,b),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u6019,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),compose(h,a),domain(b)),domain(b)) ).

cnf(u9845,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u17742,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),b) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(h,a)),b)) ).

cnf(u13549,hypothesis,
    domain(b) = ifeq(b,X0,ifeq(compose(domain(a),b),X0,domain(a),domain(b)),domain(b)) ).

cnf(u2302,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(compose(a,b),b),compose(a,b),X0),X0),X0) = X0 ).

cnf(u4897,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(g,b),g,codomain(X0)),codomain(X0)) ).

cnf(u16793,hypothesis,
    compose(compose(a,h),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(h,g)),compose(compose(a,h),g)),compose(compose(a,h),g)) ).

cnf(u16028,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(b,compose(compose(a,b),b),domain(b),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u20817,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(domain(a),b),compose(h,b),domain(a),h),h) ).

cnf(u29675,hypothesis,
    compose(compose(h,a),domain(X0)) = ifeq(domain(X0),codomain(compose(compose(h,a),domain(X0))),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),codomain(compose(compose(h,a),domain(X0))))),compose(compose(h,a),domain(X0))),compose(compose(h,a),domain(X0))) ).

cnf(u10065,hypothesis,
    compose(compose(X0,h),g) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(h,g)),compose(compose(X0,h),g)),compose(compose(X0,h),g)) ).

cnf(u16431,hypothesis,
    compose(compose(a,h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(h,domain(X0))),compose(compose(a,h),domain(X0))),compose(compose(a,h),domain(X0))) ).

cnf(u43192,hypothesis,
    compose(compose(a,compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u8171,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(compose(h,a),h)),domain(a)) ).

cnf(u36082,hypothesis,
    compose(compose(g,compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u4632,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,b),h,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u23364,hypothesis,
    compose(compose(compose(h,a),h),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,g)),compose(compose(compose(h,a),h),g)),compose(compose(compose(h,a),h),g)) ).

cnf(u32382,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u9397,hypothesis,
    domain(b) = ifeq(a,compose(domain(b),a),domain(a),domain(b)) ).

cnf(u15226,hypothesis,
    compose(compose(a,compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u24205,hypothesis,
    compose(compose(compose(g,a),X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,compose(h,a))),compose(compose(compose(g,a),X0),compose(h,a))),compose(compose(compose(g,a),X0),compose(h,a))) ).

cnf(u3608,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(X0),codomain(compose(compose(a,b),X0)),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,codomain(compose(compose(a,b),X0)))),compose(compose(a,b),X0)),compose(compose(a,b),X0)) ).

cnf(u3479,hypothesis,
    codomain(b) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u21957,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),X0)),compose(compose(compose(h,compose(a,b)),compose(h,a)),X0)),compose(compose(compose(h,compose(a,b)),compose(h,a)),X0)) ).

cnf(u12604,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain(X0),a),compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u13461,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u4177,hypothesis,
    compose(X0,compose(g,a)) = ifeq(domain(b),codomain(compose(X0,compose(g,a))),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),codomain(compose(X0,compose(g,a))))),compose(X0,compose(g,a))),compose(X0,compose(g,a))) ).

cnf(u2036,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(h,b),compose(X0,b),h,X0),X0) = X0 ).

cnf(u32162,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),g)),compose(compose(compose(a,b),codomain(X0)),g)),compose(compose(compose(a,b),codomain(X0)),g)) ).

cnf(u300,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(g),domain(compose(X0,compose(h,compose(a,b)))),domain(X0)) ).

cnf(u26156,hypothesis,
    compose(compose(compose(a,b),domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),compose(a,b))),compose(compose(compose(a,b),domain(X0)),compose(a,b))),compose(compose(compose(a,b),domain(X0)),compose(a,b))) ).

cnf(u4768,hypothesis,
    compose(h,a) = ifeq(compose(g,a),compose(compose(h,a),a),g,compose(h,a)) ).

cnf(u30050,hypothesis,
    compose(compose(compose(a,b),X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,compose(g,a))),compose(compose(compose(a,b),X0),compose(g,a))),compose(compose(compose(a,b),X0),compose(g,a))) ).

cnf(u17952,hypothesis,
    compose(compose(a,compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),g)),compose(compose(a,compose(g,a)),g)),compose(compose(a,compose(g,a)),g)) ).

cnf(u6027,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(b,compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain(b)),domain(b)) ).

cnf(u4962,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),compose(g,a),g,compose(h,a)) ).

cnf(u27638,hypothesis,
    compose(compose(X0,compose(g,a)),b) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(g,a)),b)) ).

cnf(u43956,hypothesis,
    compose(codomain(X0),compose(h,a)) = ifeq(domain(b),codomain(compose(codomain(X0),compose(h,a))),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),codomain(compose(codomain(X0),compose(h,a))))),compose(codomain(X0),compose(h,a))),compose(codomain(X0),compose(h,a))) ).

cnf(u2802,hypothesis,
    compose(compose(compose(h,a),domain(a)),compose(a,b)) = ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),domain(a)),compose(a,b))) ).

cnf(u1577,hypothesis,
    compose(compose(g,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(g,compose(a,compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))) ).

cnf(u44,hypothesis,
    compose(compose(X0,a),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(X0,compose(a,X1)),compose(compose(X0,a),X1)),compose(compose(X0,a),X1)) ).

cnf(u5671,hypothesis,
    compose(compose(g,X0),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(a),domain(X0),compose(g,compose(X0,domain(b))),compose(compose(g,X0),domain(b))),compose(compose(g,X0),domain(b))) ).

cnf(u16154,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X0),a),compose(h,a),domain(X0),h),h),h) ).

cnf(u4295,hypothesis,
    codomain(b) = ifeq(codomain(X0),domain(a),codomain(compose(codomain(X0),compose(a,b))),codomain(b)) ).

cnf(u16557,hypothesis,
    compose(compose(h,g),a) = ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,g),a)) ).

cnf(u39824,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),domain(X0))),compose(compose(compose(g,a),compose(h,a)),domain(X0))),compose(compose(compose(g,a),compose(h,a)),domain(X0))) ).

cnf(u6502,hypothesis,
    compose(compose(g,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(compose(g,a),compose(domain(b),compose(a,b))),compose(compose(g,a),compose(a,b))) ).

cnf(u15161,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u2620,hypothesis,
    compose(h,a) = compose(domain(h),compose(h,a)) ).

cnf(u11868,hypothesis,
    compose(compose(domain(X0),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,compose(h,a))),compose(compose(domain(X0),a),compose(h,a))),compose(compose(domain(X0),a),compose(h,a))) ).

cnf(u33544,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u32,hypothesis,
    compose(a,b) = compose(codomain(h),compose(a,b)) ).

cnf(u1822,hypothesis,
    compose(compose(g,domain(h)),g) = ifeq(domain(a),domain(h),compose(g,g),compose(compose(g,domain(h)),g)) ).

cnf(u180,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(a,X0,domain(a),domain(a)),domain(a)),domain(a)) ).

cnf(u3604,axiom,
    compose(codomain(X0),X1) = ifeq(codomain(X1),codomain(compose(codomain(X0),X1)),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,codomain(compose(codomain(X0),X1)))),compose(codomain(X0),X1)),compose(codomain(X0),X1)) ).

cnf(u33766,hypothesis,
    compose(compose(domain(compose(domain(X0),compose(g,a))),domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(compose(domain(X0),compose(g,a))),domain(X0),compose(domain(X0),compose(g,a)),compose(compose(domain(compose(domain(X0),compose(g,a))),domain(X0)),compose(g,a))),compose(compose(domain(compose(domain(X0),compose(g,a))),domain(X0)),compose(g,a))) ).

cnf(u15723,hypothesis,
    compose(compose(codomain(X0),a),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,codomain(X1))),compose(compose(codomain(X0),a),codomain(X1))),compose(compose(codomain(X0),a),codomain(X1))) ).

cnf(u31112,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),domain(X1))),compose(compose(codomain(X0),compose(h,a)),domain(X1))),compose(compose(codomain(X0),compose(h,a)),domain(X1))) ).

cnf(u314,hypothesis,
    domain(g) = domain(h) ).

cnf(u1616,hypothesis,
    domain(h) = ifeq(domain(a),codomain(X0),domain(compose(g,codomain(X0))),domain(h)) ).

cnf(u2282,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(X0,a),X1,X0,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u7245,hypothesis,
    a = ifeq(a,compose(a,a),domain(a),a) ).

cnf(u2862,hypothesis,
    domain(a) = ifeq(domain(a),domain(h),codomain(compose(h,g)),domain(a)) ).

cnf(u9384,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(domain(b),a),compose(a,b),domain(b)),domain(b)) ).

cnf(u1967,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(h,a),compose(X0,a),h,X0),X0) = X0 ).

cnf(u1057,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(X0,a),X0,domain(a)),domain(a)),domain(a)) ).

cnf(u6620,hypothesis,
    compose(a,compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))) ).

cnf(u1427,hypothesis,
    domain(b) = ifeq(domain(X0),domain(compose(h,a)),codomain(compose(domain(X0),compose(h,a))),domain(b)) ).

cnf(u14341,hypothesis,
    compose(compose(a,b),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(codomain(b),domain(X0))),compose(compose(a,b),domain(X0))) ).

cnf(u1139,hypothesis,
    compose(compose(compose(g,a),X0),codomain(X0)) = ifeq(domain(b),domain(X0),compose(compose(g,a),X0),compose(compose(compose(g,a),X0),codomain(X0))) ).

cnf(u6503,hypothesis,
    compose(compose(a,b),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(a,b),compose(codomain(b),compose(a,b))),compose(compose(a,b),compose(a,b))) ).

cnf(u3902,hypothesis,
    compose(g,compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))) ).

cnf(u11869,hypothesis,
    compose(compose(domain(X0),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,compose(g,a))),compose(compose(domain(X0),a),compose(g,a))),compose(compose(domain(X0),a),compose(g,a))) ).

cnf(u2625,hypothesis,
    compose(compose(X0,X1),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(h,a))),compose(compose(X0,X1),compose(h,a))),compose(compose(X0,X1),compose(h,a))) ).

cnf(u293,hypothesis,
    compose(g,X0) = ifeq(domain(a),domain(X0),compose(g,compose(domain(a),X0)),compose(g,X0)) ).

cnf(u15172,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u1489,hypothesis,
    codomain(b) = ifeq(codomain(compose(a,b)),codomain(b),codomain(compose(a,b)),codomain(b)) ).

cnf(u7366,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(X0),a),codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u16363,hypothesis,
    compose(compose(a,codomain(X1)),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),domain(X0))),compose(compose(a,codomain(X1)),domain(X0))),compose(compose(a,codomain(X1)),domain(X0))) ).

cnf(u9382,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(domain(b),a),compose(h,a),domain(b)),domain(b)) ).

cnf(u40502,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u2803,hypothesis,
    compose(compose(compose(g,a),domain(a)),compose(a,b)) = ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),domain(a)),compose(a,b))) ).

cnf(u23833,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(domain(a),b),domain(a),compose(a,b)),compose(a,b)) ).

cnf(u11602,hypothesis,
    compose(compose(h,a),domain(a)) = ifeq(domain(b),domain(a),compose(compose(h,a),compose(domain(b),domain(a))),compose(compose(h,a),domain(a))) ).

cnf(u19840,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(codomain(X0),a),codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u1617,hypothesis,
    domain(h) = ifeq(domain(a),domain(X0),domain(compose(g,domain(X0))),domain(h)) ).

cnf(u872,hypothesis,
    compose(compose(a,compose(g,a)),b) = ifeq(codomain(compose(g,a)),domain(b),ifeq(domain(b),domain(compose(g,a)),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(g,a)),b)),compose(compose(a,compose(g,a)),b)) ).

cnf(u36669,hypothesis,
    compose(compose(compose(g,a),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u28766,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),codomain(X1))),compose(compose(compose(g,a),codomain(X0)),codomain(X1))),compose(compose(compose(g,a),codomain(X0)),codomain(X1))) ).

cnf(u11704,hypothesis,
    compose(h,h) = ifeq(domain(a),codomain(compose(h,h)),ifeq(domain(a),domain(h),compose(h,compose(h,codomain(compose(h,h)))),compose(h,h)),compose(h,h)) ).

cnf(u29132,hypothesis,
    compose(compose(g,a),g) = ifeq(domain(a),codomain(compose(compose(g,a),g)),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,codomain(compose(compose(g,a),g)))),compose(compose(g,a),g)),compose(compose(g,a),g)) ).

cnf(u22997,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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)) ).

cnf(u3454,hypothesis,
    codomain(b) = ifeq(codomain(X0),domain(h),codomain(compose(X0,compose(h,compose(a,b)))),codomain(b)) ).

cnf(u11082,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,X1)),compose(compose(compose(h,compose(a,b)),X0),X1)),compose(compose(compose(h,compose(a,b)),X0),X1)) ).

cnf(u10594,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),a,domain(a),codomain(X0)),codomain(X0)) ).

cnf(u35045,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u25940,axiom,
    compose(compose(domain(X1),codomain(X0)),domain(X2)) = ifeq(codomain(X0),domain(X2),ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(codomain(X0),domain(X2))),compose(compose(domain(X1),codomain(X0)),domain(X2))),compose(compose(domain(X1),codomain(X0)),domain(X2))) ).

cnf(u17447,hypothesis,
    compose(h,g) = ifeq(domain(a),codomain(compose(h,g)),ifeq(domain(a),domain(h),compose(h,compose(g,codomain(compose(h,g)))),compose(h,g)),compose(h,g)) ).

cnf(u14063,hypothesis,
    domain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(g,a))),domain(b)) ).

cnf(u17024,hypothesis,
    compose(compose(codomain(X1),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(codomain(X1),codomain(X0),compose(codomain(X1),compose(codomain(X0),g)),compose(compose(codomain(X1),codomain(X0)),g)),compose(compose(codomain(X1),codomain(X0)),g)) ).

cnf(u4633,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(h,a)) ).

cnf(u30015,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u5331,hypothesis,
    compose(compose(h,domain(b)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(b),compose(h,compose(domain(b),X0)),compose(compose(h,domain(b)),X0)),compose(compose(h,domain(b)),X0)) ).

cnf(u34259,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u29062,hypothesis,
    compose(compose(compose(h,a),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u15821,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),h),h),h) ).

cnf(u4766,hypothesis,
    a = ifeq(compose(g,a),compose(a,a),g,a) ).

cnf(u7148,axiom,
    compose(compose(domain(compose(domain(X0),X1)),domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(compose(domain(X0),X1)),domain(X0),compose(domain(X0),X1),compose(compose(domain(compose(domain(X0),X1)),domain(X0)),X1)),compose(compose(domain(compose(domain(X0),X1)),domain(X0)),X1)) ).

cnf(u8652,hypothesis,
    compose(compose(domain(compose(compose(h,a),X0)),compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(compose(compose(h,a),X0)),domain(h),compose(compose(h,a),X0),compose(compose(domain(compose(compose(h,a),X0)),compose(h,a)),X0)),compose(compose(domain(compose(compose(h,a),X0)),compose(h,a)),X0)) ).

cnf(u6002,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(b,compose(domain(X0),b),domain(X0),domain(b)),domain(b)) ).

cnf(u856,hypothesis,
    compose(compose(a,X1),codomain(X0)) = ifeq(codomain(X1),codomain(X0),ifeq(domain(b),domain(X1),compose(a,compose(X1,codomain(X0))),compose(compose(a,X1),codomain(X0))),compose(compose(a,X1),codomain(X0))) ).

cnf(u9974,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(h,a))),domain(h)) ).

cnf(u730,hypothesis,
    compose(X0,compose(a,b)) = ifeq(codomain(X0),domain(a),compose(X0,compose(codomain(X0),compose(a,b))),compose(X0,compose(a,b))) ).

cnf(u29,hypothesis,
    codomain(h) = codomain(g) ).

cnf(u50350,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(g,a))) ).

cnf(u46160,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X0))) ).

cnf(u8506,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(h,b),X0,h,h),h),h) ).

cnf(u4185,hypothesis,
    domain(h) = ifeq(domain(b),domain(a),domain(compose(compose(g,a),compose(a,b))),domain(h)) ).

cnf(u2044,hypothesis,
    compose(g,codomain(X0)) = ifeq(domain(a),codomain(X0),compose(g,compose(domain(a),codomain(X0))),compose(g,codomain(X0))) ).

cnf(u9817,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(a,b),X0,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u41414,hypothesis,
    compose(compose(domain(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(compose(g,compose(h,compose(a,b)))),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(domain(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b)))),compose(compose(domain(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b)))) ).

cnf(u6464,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(X0,compose(h,compose(a,b))),compose(a,b))),compose(compose(X0,compose(h,compose(a,b))),compose(a,b))) ).

cnf(u38150,hypothesis,
    compose(compose(compose(h,a),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u17844,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X0),b),compose(g,b),codomain(X0),g),g),g) ).

cnf(u3549,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain(a)),domain(a)),domain(a)) ).

cnf(u42871,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u38537,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u27141,hypothesis,
    compose(compose(domain(X0),g),codomain(X1)) = ifeq(domain(a),codomain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,codomain(X1))),compose(compose(domain(X0),g),codomain(X1))),compose(compose(domain(X0),g),codomain(X1))) ).

cnf(u1432,hypothesis,
    compose(compose(h,a),X0) = ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(b),X0)),compose(compose(h,a),X0)) ).

cnf(u8331,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(a,a),X0,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u10636,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(g,b),X0,g,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u14297,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),domain(X1)) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),domain(X1))),compose(compose(X0,compose(h,compose(a,b))),domain(X1))),compose(compose(X0,compose(h,compose(a,b))),domain(X1))) ).

cnf(u20573,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(X0,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(X0,compose(h,compose(a,b))),compose(h,compose(a,b)))) ).

cnf(u16668,hypothesis,
    compose(compose(X0,compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),g)),compose(compose(X0,compose(h,a)),g)),compose(compose(X0,compose(h,a)),g)) ).

cnf(u4174,hypothesis,
    compose(compose(X0,domain(h)),compose(g,a)) = ifeq(codomain(X0),domain(h),compose(X0,compose(g,a)),compose(compose(X0,domain(h)),compose(g,a))) ).

cnf(u493,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(compose(a,b)),domain(h),compose(g,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u6209,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(a,b),X1,a,domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u1048,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(domain(h),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u6834,hypothesis,
    compose(compose(X0,g),codomain(X1)) = ifeq(domain(a),codomain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(g,codomain(X1))),compose(compose(X0,g),codomain(X1))),compose(compose(X0,g),codomain(X1))) ).

cnf(u424,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),X0),X0),X0),X0) = X0 ).

cnf(u1517,hypothesis,
    compose(compose(compose(g,a),a),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,X0)),compose(compose(compose(g,a),a),X0)),compose(compose(compose(g,a),a),X0)) ).

cnf(u9403,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(domain(b),a),compose(codomain(X0),a),codomain(X0),domain(b)),domain(b)) ).

cnf(u45195,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),compose(h,a))),compose(compose(compose(a,b),codomain(X0)),compose(h,a))),compose(compose(compose(a,b),codomain(X0)),compose(h,a))) ).

cnf(u12603,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(codomain(X0),a),compose(domain(X1),a),codomain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u2008,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X0,b),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u1945,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(g,a),a),compose(X0,a),compose(g,a),X0),X0),X0) = X0 ).

cnf(u23273,hypothesis,
    compose(compose(compose(a,b),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u3223,hypothesis,
    compose(compose(domain(X0),h),X1) = ifeq(domain(a),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,X1)),compose(compose(domain(X0),h),X1)),compose(compose(domain(X0),h),X1)) ).

cnf(u25942,axiom,
    compose(compose(domain(X1),domain(X0)),domain(X2)) = ifeq(domain(X0),domain(X2),ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X0),domain(X2))),compose(compose(domain(X1),domain(X0)),domain(X2))),compose(compose(domain(X1),domain(X0)),domain(X2))) ).

cnf(u15442,hypothesis,
    domain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(h,a))),domain(b)) ).

cnf(u10056,hypothesis,
    compose(compose(X0,h),domain(b)) = ifeq(domain(a),domain(b),ifeq(codomain(X0),domain(h),compose(X0,compose(h,domain(b))),compose(compose(X0,h),domain(b))),compose(compose(X0,h),domain(b))) ).

cnf(u3048,hypothesis,
    domain(a) = domain(compose(a,b)) ).

cnf(u25,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(a,a),X1,a,X0),X0),X0),X0) = X0 ).

cnf(u30009,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X0))) ).

cnf(u18948,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X0),b),compose(codomain(X1),b),codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u937,hypothesis,
    compose(compose(a,g),domain(a)) = ifeq(domain(b),domain(h),compose(a,g),compose(compose(a,g),domain(a))) ).

cnf(u711,hypothesis,
    compose(a,X0) = ifeq(domain(b),domain(X0),compose(a,compose(domain(b),X0)),compose(a,X0)) ).

cnf(u8350,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u1908,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X0,a),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1154,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(X0,a),X1,X0,compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u3682,axiom,
    compose(X1,domain(X0)) = ifeq(domain(X0),codomain(compose(X1,domain(X0))),ifeq(codomain(X1),domain(X0),compose(X1,compose(domain(X0),codomain(compose(X1,domain(X0))))),compose(X1,domain(X0))),compose(X1,domain(X0))) ).

cnf(u46059,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u132,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X2,ifeq(compose(X1,a),X2,X1,domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u3232,hypothesis,
    compose(compose(domain(X0),X1),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,compose(h,compose(a,b)))),compose(compose(domain(X0),X1),compose(h,compose(a,b)))),compose(compose(domain(X0),X1),compose(h,compose(a,b)))) ).

cnf(u11537,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(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)))) ).

cnf(u1603,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(g,g)),domain(h)) ).

cnf(u2343,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),domain(compose(compose(a,b),compose(a,b))),domain(a)) ).

cnf(u1296,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(domain(a),compose(domain(a),compose(a,b)))),compose(h,compose(a,b))) ).

cnf(u331,hypothesis,
    compose(compose(X0,g),X1) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(g,X1)),compose(compose(X0,g),X1)),compose(compose(X0,g),X1)) ).

cnf(codomain_of_a_equals_domain_of_b,hypothesis,
    codomain(a) = domain(b) ).

cnf(u33884,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),domain(X0))),compose(compose(compose(a,b),compose(a,b)),domain(X0))),compose(compose(compose(a,b),compose(a,b)),domain(X0))) ).

cnf(u2674,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(h,a))),domain(a)) ).

cnf(u12648,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X0),b),compose(domain(X1),b),domain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u7516,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),X0)),compose(compose(compose(h,a),compose(a,b)),X0)),compose(compose(compose(h,a),compose(a,b)),X0)) ).

cnf(u16160,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(a,b),a),compose(h,a),compose(a,b),h),h),h) ).

cnf(u4170,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(a,compose(g,a))),domain(b)) ).

cnf(u288,hypothesis,
    compose(compose(X0,g),domain(a)) = ifeq(codomain(X0),domain(g),compose(X0,g),compose(compose(X0,g),domain(a))) ).

cnf(u4167,hypothesis,
    compose(compose(domain(X0),compose(g,a)),X1) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),X1)),compose(compose(domain(X0),compose(g,a)),X1)),compose(compose(domain(X0),compose(g,a)),X1)) ).

cnf(u7940,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),X1)),compose(compose(compose(a,b),codomain(X0)),X1)),compose(compose(compose(a,b),codomain(X0)),X1)) ).

cnf(u18949,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(X0),b),compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u474,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),compose(a,b)) = ifeq(codomain(compose(a,b)),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),g),compose(a,b))) ).

cnf(u2601,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(compose(h,a),compose(b,X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u13955,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),h),h),h),h) ).

cnf(u131,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(domain(X0),a),X2,domain(X0),X1),X1),X1),X1) = X1 ).

cnf(u4670,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),compose(h,a),h,compose(h,a)) ).

cnf(u39175,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(X0)),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u14672,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u6875,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(X0,compose(h,compose(a,b))),codomain(X1))),compose(compose(X0,compose(h,compose(a,b))),codomain(X1))) ).

cnf(u1348,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(codomain(X0),a),X2,codomain(X0),X1),X1),X1),X1) = X1 ).

cnf(u7121,hypothesis,
    compose(compose(compose(g,a),domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),X1)),compose(compose(compose(g,a),domain(X0)),X1)),compose(compose(compose(g,a),domain(X0)),X1)) ).

cnf(u17953,hypothesis,
    compose(compose(a,compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),g)),compose(compose(a,compose(h,a)),g)),compose(compose(a,compose(h,a)),g)) ).

cnf(u16371,hypothesis,
    compose(compose(a,codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),compose(h,a))),compose(compose(a,codomain(X0)),compose(h,a))),compose(compose(a,codomain(X0)),compose(h,a))) ).

cnf(u32096,hypothesis,
    compose(compose(compose(a,b),g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,domain(X0))),compose(compose(compose(a,b),g),domain(X0))),compose(compose(compose(a,b),g),domain(X0))) ).

cnf(u259,hypothesis,
    compose(h,compose(a,b)) = compose(compose(g,a),b) ).

cnf(u29538,axiom,
    compose(compose(domain(compose(domain(X0),codomain(X1))),domain(X0)),codomain(X1)) = ifeq(domain(X0),codomain(X1),ifeq(domain(compose(domain(X0),codomain(X1))),domain(X0),compose(domain(X0),codomain(X1)),compose(compose(domain(compose(domain(X0),codomain(X1))),domain(X0)),codomain(X1))),compose(compose(domain(compose(domain(X0),codomain(X1))),domain(X0)),codomain(X1))) ).

cnf(u1530,hypothesis,
    compose(X0,a) = ifeq(domain(b),codomain(compose(X0,a)),ifeq(codomain(X0),domain(a),compose(X0,compose(a,codomain(compose(X0,a)))),compose(X0,a)),compose(X0,a)) ).

cnf(u7524,hypothesis,
    compose(compose(X0,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(X0,compose(a,b)),compose(h,compose(a,b)))),compose(compose(X0,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u26154,hypothesis,
    compose(compose(compose(h,a),domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),compose(a,b))),compose(compose(compose(h,a),domain(X0)),compose(a,b))),compose(compose(compose(h,a),domain(X0)),compose(a,b))) ).

cnf(u2030,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(b,compose(X0,b),domain(b),X0),X0),X0) = X0 ).

cnf(u14883,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u18975,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(codomain(X0),b),compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u3674,hypothesis,
    compose(X0,compose(h,a)) = ifeq(domain(b),codomain(compose(X0,compose(h,a))),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),codomain(compose(X0,compose(h,a))))),compose(X0,compose(h,a))),compose(X0,compose(h,a))) ).

cnf(u1146,hypothesis,
    compose(compose(compose(g,a),g),compose(a,b)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),g),compose(a,b))) ).

cnf(u10317,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(a,X0,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u6541,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(compose(h,a),a),compose(h,a),compose(g,a)),compose(g,a)) ).

cnf(u5662,hypothesis,
    compose(compose(g,X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(X0,g)),compose(compose(g,X0),g)),compose(compose(g,X0),g)) ).

cnf(u3070,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(X0,b),X1,X0,g),g),g),g) ).

cnf(u2287,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u4178,hypothesis,
    compose(compose(a,compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),X0)),compose(compose(a,compose(g,a)),X0)),compose(compose(a,compose(g,a)),X0)) ).

cnf(u5670,hypothesis,
    compose(compose(g,X1),codomain(X0)) = ifeq(codomain(X1),codomain(X0),ifeq(domain(a),domain(X1),compose(g,compose(X1,codomain(X0))),compose(compose(g,X1),codomain(X0))),compose(compose(g,X1),codomain(X0))) ).

cnf(u14506,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,domain(X0))),compose(compose(compose(h,compose(a,b)),a),domain(X0))),compose(compose(compose(h,compose(a,b)),a),domain(X0))) ).

cnf(u23621,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,domain(X0))),compose(compose(compose(h,compose(a,b)),h),domain(X0))),compose(compose(compose(h,compose(a,b)),h),domain(X0))) ).

cnf(u6921,hypothesis,
    compose(compose(a,b),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(b),codomain(X0))),compose(compose(a,b),codomain(X0))) ).

cnf(u2686,hypothesis,
    compose(compose(a,b),compose(h,a)) = ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))) ).

cnf(u1383,hypothesis,
    domain(b) = ifeq(codomain(compose(a,b)),domain(a),codomain(compose(compose(h,compose(a,b)),a)),domain(b)) ).

cnf(u13956,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),h),h),h),h) ).

cnf(u9795,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(a,a),X0,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u4649,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(h,a),h,codomain(X0)),codomain(X0)) ).

cnf(u29581,hypothesis,
    compose(compose(domain(compose(h,codomain(X0))),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(compose(h,codomain(X0))),domain(h),compose(h,codomain(X0)),compose(compose(domain(compose(h,codomain(X0))),h),codomain(X0))),compose(compose(domain(compose(h,codomain(X0))),h),codomain(X0))) ).

cnf(u7194,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(compose(h,a),codomain(X0)),compose(compose(compose(h,a),codomain(X0)),codomain(X0))) ).

cnf(u432,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(compose(h,compose(a,b)),X0),compose(compose(compose(h,compose(a,b)),domain(X0)),X0)) ).

cnf(u18467,hypothesis,
    compose(compose(h,domain(b)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(b),compose(h,compose(domain(b),codomain(X0))),compose(compose(h,domain(b)),codomain(X0))),compose(compose(h,domain(b)),codomain(X0))) ).

cnf(u14491,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),b) = ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),a),b)) ).

cnf(u10043,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(h,a),a),a) ).

cnf(u14450,hypothesis,
    compose(a,compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(a,compose(h,compose(a,b)))),ifeq(domain(b),domain(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)))) ).

cnf(u31117,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),domain(X1)) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),domain(X1))),compose(compose(codomain(X0),compose(a,b)),domain(X1))),compose(compose(codomain(X0),compose(a,b)),domain(X1))) ).

cnf(u27138,hypothesis,
    compose(compose(domain(X0),domain(b)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),codomain(X1))),compose(compose(domain(X0),domain(b)),codomain(X1))),compose(compose(domain(X0),domain(b)),codomain(X1))) ).

cnf(u1413,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,X0,ifeq(compose(compose(h,a),b),X0,compose(h,a),domain(b)),domain(b)),domain(b)) ).

cnf(u38151,hypothesis,
    compose(compose(compose(h,a),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u3827,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(g,a),a),a,compose(g,a),domain(a)),domain(a)),domain(a)) ).

cnf(u6564,hypothesis,
    compose(compose(codomain(X0),h),domain(a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),h),compose(compose(codomain(X0),h),domain(a))) ).

cnf(u4653,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(h,a),h,compose(a,b)),compose(a,b)) ).

cnf(u473,hypothesis,
    compose(compose(a,g),compose(a,b)) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,g),compose(a,b))) ).

cnf(u32718,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u11426,hypothesis,
    compose(compose(X0,g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(g,compose(g,a))),compose(compose(X0,g),compose(g,a))),compose(compose(X0,g),compose(g,a))) ).

cnf(u3534,hypothesis,
    domain(a) = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(domain(X0),a),domain(X0),domain(a)),domain(a)),domain(a)) ).

cnf(u11428,hypothesis,
    compose(compose(X0,g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(g,compose(h,compose(a,b)))),compose(compose(X0,g),compose(h,compose(a,b)))),compose(compose(X0,g),compose(h,compose(a,b)))) ).

cnf(u29901,hypothesis,
    compose(compose(domain(X0),domain(b)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),compose(h,a))),compose(compose(domain(X0),domain(b)),compose(h,a))),compose(compose(domain(X0),domain(b)),compose(h,a))) ).

cnf(u8323,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(X0,a),X1,X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u38219,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u3462,hypothesis,
    codomain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u14435,hypothesis,
    compose(a,domain(X0)) = ifeq(domain(X0),codomain(compose(a,domain(X0))),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),codomain(compose(a,domain(X0))))),compose(a,domain(X0))),compose(a,domain(X0))) ).

cnf(u252,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(X0,b),X1,X0,h),h),h),h) ).

cnf(u6480,hypothesis,
    compose(codomain(X0),compose(a,b)) = ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(codomain(X0),compose(a,b))),compose(codomain(X0),compose(a,b))) ).

cnf(u8173,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),h)),domain(a)) ).

cnf(u11863,hypothesis,
    compose(compose(domain(X0),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,compose(a,b))),compose(compose(domain(X0),a),compose(a,b))),compose(compose(domain(X0),a),compose(a,b))) ).

cnf(u5241,hypothesis,
    compose(compose(h,X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(X0,compose(h,a))),compose(compose(h,X0),compose(h,a))),compose(compose(h,X0),compose(h,a))) ).

cnf(u11328,hypothesis,
    domain(h) = ifeq(codomain(b),domain(a),domain(compose(compose(h,compose(a,b)),compose(a,b))),domain(h)) ).

cnf(u5332,hypothesis,
    compose(compose(h,domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),X1)),compose(compose(h,domain(X0)),X1)),compose(compose(h,domain(X0)),X1)) ).

cnf(u26712,hypothesis,
    compose(domain(X0),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(domain(X0),compose(h,compose(a,b)))),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),codomain(compose(domain(X0),compose(h,compose(a,b)))))),compose(domain(X0),compose(h,compose(a,b)))),compose(domain(X0),compose(h,compose(a,b)))) ).

cnf(u29805,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u9363,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),domain(b)),domain(b)),domain(b)) ).

cnf(u1916,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X0),domain(b),X0,X0),X0) = X0 ).

cnf(u32256,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),X0)),compose(compose(compose(a,b),compose(h,compose(a,b))),X0)),compose(compose(compose(a,b),compose(h,compose(a,b))),X0)) ).

cnf(u28995,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(a,b))) ).

cnf(u4848,hypothesis,
    compose(h,a) = ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(h,a)) ).

cnf(u15167,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u112,hypothesis,
    codomain(h) = ifeq(codomain(X0),domain(g),codomain(compose(X0,g)),codomain(h)) ).

cnf(u19354,hypothesis,
    compose(compose(h,domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),compose(h,compose(a,b)))),compose(compose(h,domain(X0)),compose(h,compose(a,b)))),compose(compose(h,domain(X0)),compose(h,compose(a,b)))) ).

cnf(u19824,hypothesis,
    compose(compose(compose(g,a),h),a) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),h),a)) ).

cnf(u17073,hypothesis,
    compose(codomain(X0),compose(g,a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(codomain(X0),compose(g,a))),compose(codomain(X0),compose(g,a))) ).

cnf(u38437,axiom,
    compose(compose(domain(compose(codomain(X0),domain(X1))),codomain(X0)),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(compose(codomain(X0),domain(X1))),codomain(X0),compose(codomain(X0),domain(X1)),compose(compose(domain(compose(codomain(X0),domain(X1))),codomain(X0)),domain(X1))),compose(compose(domain(compose(codomain(X0),domain(X1))),codomain(X0)),domain(X1))) ).

cnf(u38216,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u365,hypothesis,
    compose(h,compose(a,b)) = compose(compose(h,compose(a,b)),codomain(compose(a,b))) ).

cnf(u18760,hypothesis,
    compose(compose(compose(g,a),a),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,g)),compose(compose(compose(g,a),a),g)),compose(compose(compose(g,a),a),g)) ).

cnf(u42729,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u27879,hypothesis,
    compose(compose(h,codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(h,codomain(X0)),compose(h,compose(a,b)))),compose(compose(h,codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u2283,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),X0),X0),X0),X0) = X0 ).

cnf(u16156,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(h,a),compose(h,compose(a,b)),h),h),h) ).

cnf(u7859,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),b),compose(h,compose(a,b)),codomain(X0),compose(h,a)),compose(h,a)) ).

cnf(codomain_composition,axiom,
    compose(X0,codomain(X0)) = X0 ).

cnf(u1405,hypothesis,
    compose(compose(compose(h,a),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,X1)),compose(compose(compose(h,a),X0),X1)),compose(compose(compose(h,a),X0),X1)) ).

cnf(u41758,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(compose(compose(h,compose(a,b)),compose(a,b))),domain(h),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(domain(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b))) ).

cnf(u5985,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),b),b,compose(h,compose(a,b)),domain(b)),domain(b)) ).

cnf(u11093,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(b,X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),domain(b)),domain(b)),domain(b)) ).

cnf(u6198,hypothesis,
    compose(g,a) = ifeq(a,compose(compose(g,a),a),domain(a),compose(g,a)) ).

cnf(u22140,hypothesis,
    compose(compose(g,g),g) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(g,g)),compose(compose(g,g),g)),compose(compose(g,g),g)) ).

cnf(u16936,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(a),b),compose(domain(X0),b),domain(a),domain(X0)),domain(X0)) ).

cnf(u9797,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(a,a),X0,a,h),h),h),h) ).

cnf(u5380,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(h,compose(compose(a,b),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u43770,hypothesis,
    compose(compose(domain(X0),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),compose(g,a))),compose(compose(domain(X0),compose(a,b)),compose(g,a))),compose(compose(domain(X0),compose(a,b)),compose(g,a))) ).

cnf(u7537,hypothesis,
    compose(compose(domain(compose(compose(a,b),X0)),compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(compose(compose(a,b),X0)),domain(a),compose(compose(a,b),X0),compose(compose(domain(compose(compose(a,b),X0)),compose(a,b)),X0)),compose(compose(domain(compose(compose(a,b),X0)),compose(a,b)),X0)) ).

cnf(u8335,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u9364,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),domain(b)),domain(b)),domain(b)) ).

cnf(u248,hypothesis,
    compose(compose(h,X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(a),domain(X0),compose(h,compose(X0,X1)),compose(compose(h,X0),X1)),compose(compose(h,X0),X1)) ).

cnf(u2038,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,b),compose(h,compose(a,b)),X0,compose(g,a)),compose(g,a)) ).

cnf(u4896,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(g,b),g,domain(X0)),domain(X0)) ).

cnf(u957,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(compose(a,b)),domain(a),codomain(compose(compose(h,compose(a,b)),compose(a,b))),codomain(compose(a,b))) ).

cnf(u14887,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u9418,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),compose(h,a),h,domain(b)) ).

cnf(u14790,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u9343,hypothesis,
    domain(h) = ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),domain(h)) ).

cnf(u4495,hypothesis,
    a = ifeq(compose(h,a),compose(a,a),h,a) ).

cnf(u18922,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(a,a),compose(codomain(X0),a),a,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u1369,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(X0),domain(a),codomain(compose(codomain(X0),compose(a,b))),codomain(compose(a,b))) ).

cnf(u47337,hypothesis,
    compose(compose(domain(compose(g,compose(h,a))),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(compose(g,compose(h,a))),domain(h),compose(g,compose(h,a)),compose(compose(domain(compose(g,compose(h,a))),g),compose(h,a))),compose(compose(domain(compose(g,compose(h,a))),g),compose(h,a))) ).

cnf(u233,axiom,
    domain(X0) = ifeq(domain(X0),domain(X1),domain(compose(domain(X0),X1)),domain(X0)) ).

cnf(u27139,axiom,
    compose(compose(domain(X1),domain(X0)),codomain(X2)) = ifeq(domain(X0),codomain(X2),ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X0),codomain(X2))),compose(compose(domain(X1),domain(X0)),codomain(X2))),compose(compose(domain(X1),domain(X0)),codomain(X2))) ).

cnf(u8410,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(g,b),X0,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u6319,hypothesis,
    compose(compose(X0,h),compose(a,b)) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,h),compose(a,b))) ).

cnf(u7374,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),a,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u8086,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),a,domain(a),compose(h,a)) ).

cnf(u361,hypothesis,
    compose(compose(X0,compose(a,b)),codomain(compose(a,b))) = ifeq(codomain(X0),domain(a),compose(X0,compose(a,b)),compose(compose(X0,compose(a,b)),codomain(compose(a,b)))) ).

cnf(u899,hypothesis,
    compose(compose(a,X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(X0,compose(h,compose(a,b)))),compose(compose(a,X0),compose(h,compose(a,b)))),compose(compose(a,X0),compose(h,compose(a,b)))) ).

cnf(u2663,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u10045,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),b,domain(b),a),a) ).

cnf(u7005,hypothesis,
    compose(compose(g,a),g) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),g)),compose(compose(g,a),g)) ).

cnf(u308,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(domain(g),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u36806,hypothesis,
    compose(compose(domain(compose(a,compose(h,a))),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(a,compose(h,a))),domain(a),compose(a,compose(h,a)),compose(compose(domain(compose(a,compose(h,a))),a),compose(h,a))),compose(compose(domain(compose(a,compose(h,a))),a),compose(h,a))) ).

cnf(u17333,hypothesis,
    compose(compose(h,domain(b)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(b),compose(h,compose(domain(b),domain(X0))),compose(compose(h,domain(b)),domain(X0))),compose(compose(h,domain(b)),domain(X0))) ).

cnf(u222,hypothesis,
    codomain(h) = ifeq(codomain(compose(a,b)),domain(X0),domain(compose(compose(a,b),X0)),codomain(h)) ).

cnf(u3,axiom,
    domain(X0) = codomain(domain(X0)) ).

cnf(u20975,hypothesis,
    compose(compose(compose(g,a),domain(h)),compose(h,a)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),domain(h)),compose(h,a))) ).

cnf(u16249,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(g,a))),domain(b)) ).

cnf(u18683,hypothesis,
    compose(compose(g,domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),g)),compose(compose(g,domain(X0)),g)),compose(compose(g,domain(X0)),g)) ).

cnf(u1939,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),compose(h,a),compose(h,a)) ).

cnf(u14999,hypothesis,
    compose(compose(codomain(X0),a),b) = ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,b)),compose(compose(codomain(X0),a),b)) ).

cnf(u2185,hypothesis,
    domain(X0) = ifeq(domain(b),domain(X0),codomain(compose(compose(g,a),domain(X0))),domain(X0)) ).

cnf(u1120,hypothesis,
    domain(compose(g,a)) = ifeq(domain(b),domain(X0),domain(compose(compose(g,a),X0)),domain(compose(g,a))) ).

cnf(u28642,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),b) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(g,a)),b)) ).

cnf(u43504,hypothesis,
    compose(codomain(X0),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(codomain(X0),compose(h,compose(a,b)))),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),codomain(compose(codomain(X0),compose(h,compose(a,b)))))),compose(codomain(X0),compose(h,compose(a,b)))),compose(codomain(X0),compose(h,compose(a,b)))) ).

cnf(u4175,hypothesis,
    compose(X0,compose(g,a)) = ifeq(codomain(X0),domain(h),compose(X0,compose(codomain(X0),compose(g,a))),compose(X0,compose(g,a))) ).

cnf(u4148,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(h),domain(compose(domain(X0),compose(g,a))),domain(X0)) ).

cnf(u7964,axiom,
    compose(compose(domain(compose(codomain(X0),X1)),codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(compose(codomain(X0),X1)),codomain(X0),compose(codomain(X0),X1),compose(compose(domain(compose(codomain(X0),X1)),codomain(X0)),X1)),compose(compose(domain(compose(codomain(X0),X1)),codomain(X0)),X1)) ).

cnf(u1402,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(X0),codomain(compose(compose(h,a),X0)),codomain(X0)) ).

cnf(u12608,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(a,b),a),compose(domain(X0),a),compose(a,b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u4371,hypothesis,
    compose(compose(domain(X0),a),domain(b)) = ifeq(domain(X0),domain(a),compose(domain(X0),a),compose(compose(domain(X0),a),domain(b))) ).

cnf(u22382,hypothesis,
    compose(compose(g,domain(b)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(b),compose(g,compose(domain(b),codomain(X0))),compose(compose(g,domain(b)),codomain(X0))),compose(compose(g,domain(b)),codomain(X0))) ).

cnf(u1902,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(compose(g,a),a),compose(g,a),X0),X0),X0) = X0 ).

cnf(u7675,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(g,a),a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u3684,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(X0),codomain(compose(compose(h,compose(a,b)),X0)),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,codomain(compose(compose(h,compose(a,b)),X0)))),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u4849,hypothesis,
    compose(g,a) = ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(g,a)) ).

cnf(u5108,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),compose(h,a),compose(g,a)) ).

cnf(u335,hypothesis,
    compose(compose(a,X0),codomain(X0)) = ifeq(domain(b),domain(X0),compose(a,X0),compose(compose(a,X0),codomain(X0))) ).

cnf(u5236,hypothesis,
    compose(compose(h,X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(X0),compose(h,compose(X0,compose(a,b))),compose(compose(h,X0),compose(a,b))),compose(compose(h,X0),compose(a,b))) ).

cnf(u6616,hypothesis,
    compose(a,codomain(X0)) = ifeq(domain(b),codomain(X0),compose(a,compose(domain(b),codomain(X0))),compose(a,codomain(X0))) ).

cnf(u4010,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(h),domain(compose(codomain(X0),g)),codomain(X0)) ).

cnf(u6179,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(compose(g,a),a),compose(a,b),compose(g,a)),compose(g,a)) ).

cnf(u43156,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(b))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(b))) ).

cnf(u18089,hypothesis,
    compose(compose(a,compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),codomain(X0))),compose(compose(a,compose(g,a)),codomain(X0))),compose(compose(a,compose(g,a)),codomain(X0))) ).

cnf(u10166,hypothesis,
    compose(compose(g,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))) ).

cnf(u34567,hypothesis,
    compose(compose(a,b),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(compose(a,b),compose(h,compose(a,b)))),ifeq(codomain(b),domain(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)))) ).

cnf(u2047,hypothesis,
    compose(g,compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))) ).

cnf(u45448,hypothesis,
    compose(compose(domain(X0),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),compose(h,a))),compose(compose(domain(X0),compose(a,b)),compose(h,a))),compose(compose(domain(X0),compose(a,b)),compose(h,a))) ).

cnf(u245,hypothesis,
    codomain(X0) = ifeq(domain(a),domain(X0),codomain(compose(h,X0)),codomain(X0)) ).

cnf(u1507,hypothesis,
    compose(compose(X1,a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(X1),domain(a),compose(X1,compose(a,domain(X0))),compose(compose(X1,a),domain(X0))),compose(compose(X1,a),domain(X0))) ).

cnf(u40047,hypothesis,
    compose(compose(domain(compose(codomain(X0),compose(h,a))),codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(codomain(X0),compose(h,a))),codomain(X0),compose(codomain(X0),compose(h,a)),compose(compose(domain(compose(codomain(X0),compose(h,a))),codomain(X0)),compose(h,a))),compose(compose(domain(compose(codomain(X0),compose(h,a))),codomain(X0)),compose(h,a))) ).

cnf(u35044,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u41087,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u4269,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(h),codomain(compose(codomain(X0),compose(h,a))),domain(b)) ).

cnf(u5531,hypothesis,
    compose(compose(a,a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(a),compose(a,compose(a,compose(g,a))),compose(compose(a,a),compose(g,a))),compose(compose(a,a),compose(g,a))) ).

cnf(monomorphism1,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(X0,a),X2,X0,X1),X1),X1),X1) = X1 ).

cnf(u13332,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u6424,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,compose(a,b))),compose(compose(compose(h,compose(a,b)),X0),compose(a,b))),compose(compose(compose(h,compose(a,b)),X0),compose(a,b))) ).

cnf(u42608,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),compose(a,b))),compose(compose(codomain(X0),compose(g,a)),compose(a,b))),compose(compose(codomain(X0),compose(g,a)),compose(a,b))) ).

cnf(u1157,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(X0,b),X1,X0,compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u2547,hypothesis,
    domain(a) = ifeq(codomain(b),domain(b),domain(compose(compose(a,b),domain(b))),domain(a)) ).

cnf(u19677,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(h,compose(a,b)),compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u16364,hypothesis,
    compose(compose(a,codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),domain(b))),compose(compose(a,codomain(X0)),domain(b))),compose(compose(a,codomain(X0)),domain(b))) ).

cnf(u8884,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(domain(a),b),X1,domain(a),X0),X0),X0) = X0 ).

cnf(u7120,hypothesis,
    compose(compose(compose(a,b),domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),X1)),compose(compose(compose(a,b),domain(X0)),X1)),compose(compose(compose(a,b),domain(X0)),X1)) ).

cnf(u8407,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u10551,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),domain(b)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,a)),compose(compose(codomain(X0),compose(h,a)),domain(b))) ).

cnf(u9677,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),g),g),g),g) ).

cnf(u8312,hypothesis,
    codomain(b) = ifeq(domain(b),domain(a),codomain(compose(compose(g,a),compose(a,b))),codomain(b)) ).

cnf(u40164,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u5434,hypothesis,
    compose(compose(h,domain(h)),compose(g,a)) = ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,domain(h)),compose(g,a))) ).

cnf(u6948,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(domain(h),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u2325,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(codomain(b),X0)),compose(compose(a,b),X0)) ).

cnf(u917,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),X0) = ifeq(codomain(compose(a,b)),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),X0)),compose(compose(a,compose(h,compose(a,b))),X0)),compose(compose(a,compose(h,compose(a,b))),X0)) ).

cnf(u1944,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,a),a),compose(X0,a),compose(h,a),X0),X0),X0) = X0 ).

cnf(u10377,hypothesis,
    compose(compose(codomain(X0),X1),g) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,g)),compose(compose(codomain(X0),X1),g)),compose(compose(codomain(X0),X1),g)) ).

cnf(u1420,hypothesis,
    compose(compose(compose(h,a),X0),codomain(X0)) = ifeq(domain(b),domain(X0),compose(compose(h,a),X0),compose(compose(compose(h,a),X0),codomain(X0))) ).

cnf(u18803,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,compose(a,b)))) ).

cnf(u26689,axiom,
    compose(domain(X1),domain(X0)) = ifeq(domain(X0),codomain(compose(domain(X1),domain(X0))),ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X0),codomain(compose(domain(X1),domain(X0))))),compose(domain(X1),domain(X0))),compose(domain(X1),domain(X0))) ).

cnf(u11800,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(a,compose(compose(a,b),a),domain(a),compose(a,b)),compose(a,b)) ).

cnf(u10052,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),a),a) ).

cnf(u25933,hypothesis,
    compose(compose(domain(X0),compose(g,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),domain(X1))),compose(compose(domain(X0),compose(g,a)),domain(X1))),compose(compose(domain(X0),compose(g,a)),domain(X1))) ).

cnf(u20080,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),domain(X0))),compose(compose(compose(g,a),compose(a,b)),domain(X0))),compose(compose(compose(g,a),compose(a,b)),domain(X0))) ).

cnf(u7801,hypothesis,
    domain(h) = ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),g)),domain(h)) ).

cnf(u26362,hypothesis,
    compose(compose(compose(h,a),domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),domain(X1))),compose(compose(compose(h,a),domain(X0)),domain(X1))),compose(compose(compose(h,a),domain(X0)),domain(X1))) ).

cnf(u19356,hypothesis,
    compose(compose(h,domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),compose(h,a))),compose(compose(h,domain(X0)),compose(h,a))),compose(compose(h,domain(X0)),compose(h,a))) ).

cnf(u2049,hypothesis,
    compose(g,g) = ifeq(domain(a),domain(h),compose(g,compose(domain(a),g)),compose(g,g)) ).

cnf(u1371,hypothesis,
    compose(compose(codomain(X0),g),compose(a,b)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),g),compose(a,b))) ).

cnf(u241,hypothesis,
    g = compose(g,domain(a)) ).

cnf(u17017,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),g)),compose(compose(codomain(X0),compose(g,a)),g)),compose(compose(codomain(X0),compose(g,a)),g)) ).

cnf(u5377,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(h,compose(a,b))),X0)),compose(compose(h,compose(h,compose(a,b))),X0)) ).

cnf(u11092,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u19816,hypothesis,
    compose(compose(compose(g,a),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u17743,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),b) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(h,a)),b)) ).

cnf(u34544,hypothesis,
    compose(compose(a,b),compose(g,a)) = ifeq(domain(b),codomain(compose(compose(a,b),compose(g,a))),ifeq(codomain(b),domain(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))) ).

cnf(u13605,hypothesis,
    compose(compose(compose(h,a),a),domain(b)) = ifeq(domain(b),domain(a),compose(compose(h,a),a),compose(compose(compose(h,a),a),domain(b))) ).

cnf(u775,hypothesis,
    domain(b) = ifeq(b,X0,ifeq(compose(h,b),X0,h,domain(b)),domain(b)) ).

cnf(u1149,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),X0,ifeq(a,X0,domain(a),compose(g,a)),compose(g,a)) ).

cnf(u1288,hypothesis,
    compose(h,compose(a,b)) = compose(h,compose(domain(a),compose(a,b))) ).

cnf(u29309,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),domain(X0))),compose(compose(g,compose(h,compose(a,b))),domain(X0))),compose(compose(g,compose(h,compose(a,b))),domain(X0))) ).

cnf(u6020,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),compose(g,a),domain(b)),domain(b)) ).

cnf(u14141,hypothesis,
    compose(compose(compose(h,a),X0),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,domain(X1))),compose(compose(compose(h,a),X0),domain(X1))),compose(compose(compose(h,a),X0),domain(X1))) ).

cnf(u29672,axiom,
    compose(codomain(X0),domain(X1)) = ifeq(domain(X1),codomain(compose(codomain(X0),domain(X1))),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),codomain(compose(codomain(X0),domain(X1))))),compose(codomain(X0),domain(X1))),compose(codomain(X0),domain(X1))) ).

cnf(u1512,hypothesis,
    compose(compose(X0,a),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(a,g)),compose(compose(X0,a),g)),compose(compose(X0,a),g)) ).

cnf(u1991,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(h,compose(a,b)),compose(g,a),X0),X0),X0) = X0 ).

cnf(u22027,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),b) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(g,a)),b)) ).

cnf(u3413,hypothesis,
    compose(compose(domain(X0),compose(h,a)),domain(b)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,a)),compose(compose(domain(X0),compose(h,a)),domain(b))) ).

cnf(u23725,hypothesis,
    compose(compose(domain(X0),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),g)),compose(compose(domain(X0),compose(a,b)),g)),compose(compose(domain(X0),compose(a,b)),g)) ).

cnf(u11119,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X0,b),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u257,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(h,b),X1,h,X0),X0),X0) = X0 ).

cnf(u16373,hypothesis,
    compose(compose(a,codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),g)),compose(compose(a,codomain(X0)),g)),compose(compose(a,codomain(X0)),g)) ).

cnf(u8172,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(compose(g,a),h)),domain(a)) ).

cnf(u1351,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X2,ifeq(compose(X1,b),X2,X1,codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u11025,hypothesis,
    compose(a,compose(a,b)) = ifeq(domain(b),domain(a),compose(domain(a),compose(a,compose(a,b))),compose(a,compose(a,b))) ).

cnf(u20086,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u1485,hypothesis,
    compose(a,b) = ifeq(codomain(compose(a,b)),codomain(b),compose(a,b),compose(a,b)) ).

cnf(u120,axiom,
    codomain(X0) = codomain(codomain(X0)) ).

cnf(u38391,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),domain(X1))),compose(compose(compose(h,a),codomain(X0)),domain(X1))),compose(compose(compose(h,a),codomain(X0)),domain(X1))) ).

cnf(u36475,hypothesis,
    compose(compose(h,a),g) = ifeq(domain(a),codomain(compose(compose(h,a),g)),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,codomain(compose(compose(h,a),g)))),compose(compose(h,a),g)),compose(compose(h,a),g)) ).

cnf(u26686,hypothesis,
    compose(domain(X0),compose(a,b)) = ifeq(codomain(b),codomain(compose(domain(X0),compose(a,b))),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),codomain(compose(domain(X0),compose(a,b))))),compose(domain(X0),compose(a,b))),compose(domain(X0),compose(a,b))) ).

cnf(u11090,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),a),a),a) ).

cnf(u40390,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(g,a))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(g,a))) ).

cnf(u1613,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(g,compose(h,compose(a,b)))),domain(h)) ).

cnf(u16103,hypothesis,
    compose(compose(a,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),domain(b))),compose(compose(a,compose(a,b)),domain(b))),compose(compose(a,compose(a,b)),domain(b))) ).

cnf(u41204,hypothesis,
    compose(compose(domain(compose(compose(h,a),domain(X0))),compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(compose(compose(h,a),domain(X0))),domain(h),compose(compose(h,a),domain(X0)),compose(compose(domain(compose(compose(h,a),domain(X0))),compose(h,a)),domain(X0))),compose(compose(domain(compose(compose(h,a),domain(X0))),compose(h,a)),domain(X0))) ).

cnf(u11695,hypothesis,
    compose(compose(h,h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(h,compose(h,a))),compose(compose(h,h),compose(h,a))),compose(compose(h,h),compose(h,a))) ).

cnf(u5057,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u18154,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(g,a),a),compose(g,a),compose(g,a),g),g),g) ).

cnf(u43216,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),codomain(X0))),compose(compose(compose(a,b),compose(h,a)),codomain(X0))),compose(compose(compose(a,b),compose(h,a)),codomain(X0))) ).

cnf(u105,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(X0),codomain(h),codomain(compose(X0,compose(a,b))),codomain(compose(a,b))) ).

cnf(u564,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(compose(h,compose(a,b)),compose(codomain(compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u6609,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(g,a),X1,g,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u771,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(b,compose(X0,b),X0,domain(b)),domain(b)) ).

cnf(u4137,hypothesis,
    compose(compose(domain(X0),X1),compose(g,a)) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,compose(g,a))),compose(compose(domain(X0),X1),compose(g,a))),compose(compose(domain(X0),X1),compose(g,a))) ).

cnf(u17205,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u94,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X0,a),compose(X1,a),X0,X1),X1),X1) = X1 ).

cnf(u4605,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(h,b),h,domain(X0)),domain(X0)) ).

cnf(u11870,hypothesis,
    compose(compose(domain(X0),a),g) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,g)),compose(compose(domain(X0),a),g)),compose(compose(domain(X0),a),g)) ).

cnf(u2654,hypothesis,
    compose(compose(h,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(h,compose(a,compose(h,a))),compose(compose(h,a),compose(h,a))) ).

cnf(u1924,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(h,a),h,X0),X0) = X0 ).

cnf(u7363,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u24284,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),X0)),compose(compose(compose(g,a),compose(g,a)),X0)),compose(compose(compose(g,a),compose(g,a)),X0)) ).

cnf(u9341,hypothesis,
    domain(h) = ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(g,a))),domain(h)) ).

cnf(u40370,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),compose(g,a))),compose(compose(codomain(X0),compose(a,b)),compose(g,a))),compose(compose(codomain(X0),compose(a,b)),compose(g,a))) ).

cnf(u1134,hypothesis,
    compose(compose(a,compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(compose(g,a)),compose(a,compose(compose(g,a),X0)),compose(compose(a,compose(g,a)),X0)),compose(compose(a,compose(g,a)),X0)) ).

cnf(u4152,hypothesis,
    compose(h,compose(g,a)) = ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(g,a))),compose(h,compose(g,a))) ).

cnf(u9578,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),g),g),g),g) ).

cnf(u13337,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(a,b),a,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u3529,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(b,X0,domain(b),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u10061,hypothesis,
    compose(compose(X0,h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(h,compose(a,b)))),compose(compose(X0,h),compose(h,compose(a,b)))),compose(compose(X0,h),compose(h,compose(a,b)))) ).

cnf(u31208,hypothesis,
    compose(compose(codomain(X0),domain(X1)),compose(g,a)) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),compose(g,a))),compose(compose(codomain(X0),domain(X1)),compose(g,a))),compose(compose(codomain(X0),domain(X1)),compose(g,a))) ).

cnf(u1428,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(b),domain(a),codomain(compose(compose(h,a),compose(a,b))),codomain(compose(a,b))) ).

cnf(u15673,hypothesis,
    compose(compose(compose(a,b),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,codomain(X0))),compose(compose(compose(a,b),h),codomain(X0))),compose(compose(compose(a,b),h),codomain(X0))) ).

cnf(u32116,hypothesis,
    compose(compose(a,b),g) = ifeq(domain(a),codomain(compose(compose(a,b),g)),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,codomain(compose(compose(a,b),g)))),compose(compose(a,b),g)),compose(compose(a,b),g)) ).

cnf(u27772,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),codomain(compose(compose(h,compose(a,b)),compose(a,b))),ifeq(codomain(b),domain(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))) ).

cnf(u8181,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),h)),domain(a)) ).

cnf(u1251,axiom,
    codomain(X0) = ifeq(domain(X1),codomain(X0),codomain(compose(domain(X1),codomain(X0))),codomain(X0)) ).

cnf(u8893,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(domain(X0),b),X1,domain(X0),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u7942,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),X1)),compose(compose(compose(h,a),codomain(X0)),X1)),compose(compose(compose(h,a),codomain(X0)),X1)) ).

cnf(u17661,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(codomain(X0),b),codomain(X0),g),g),g) ).

cnf(u18917,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(X0),a),compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u3585,hypothesis,
    compose(compose(compose(g,a),g),domain(a)) = ifeq(domain(b),domain(h),compose(compose(g,a),g),compose(compose(compose(g,a),g),domain(a))) ).

cnf(u1919,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(X0,a),X0,g),g),g) ).

cnf(u4710,hypothesis,
    compose(compose(domain(X0),domain(h)),compose(h,a)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,a)),compose(compose(domain(X0),domain(h)),compose(h,a))) ).

cnf(u2874,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),g)),domain(a)) ).

cnf(u2649,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(h),domain(compose(domain(X0),compose(h,a))),domain(X0)) ).

cnf(u4141,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),domain(compose(a,compose(g,a))),domain(a)) ).

cnf(u5403,hypothesis,
    compose(compose(h,compose(g,a)),b) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(g,a)),b)) ).

cnf(u1726,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),X1) = ifeq(codomain(compose(a,b)),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)) ).

cnf(u3597,hypothesis,
    compose(X0,compose(g,a)) = ifeq(domain(b),codomain(compose(X0,compose(g,a))),ifeq(codomain(X0),domain(compose(g,a)),compose(X0,compose(compose(g,a),codomain(compose(X0,compose(g,a))))),compose(X0,compose(g,a))),compose(X0,compose(g,a))) ).

cnf(u5528,hypothesis,
    compose(compose(a,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u1941,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(domain(X0),a),compose(X1,a),domain(X0),X1),X1),X1) = X1 ).

cnf(u7657,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u90,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(g,compose(compose(a,b),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u2347,hypothesis,
    compose(compose(X0,compose(a,b)),codomain(b)) = ifeq(codomain(X0),domain(a),compose(X0,compose(a,b)),compose(compose(X0,compose(a,b)),codomain(b))) ).

cnf(u8279,hypothesis,
    compose(compose(a,g),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(g,g)),compose(compose(a,g),g)),compose(compose(a,g),g)) ).

cnf(u4610,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(h,b),h,compose(a,b)),compose(a,b)) ).

cnf(u1504,hypothesis,
    compose(compose(X0,compose(a,b)),codomain(b)) = ifeq(codomain(compose(a,b)),codomain(b),ifeq(codomain(X0),domain(a),compose(X0,compose(a,b)),compose(compose(X0,compose(a,b)),codomain(b))),compose(compose(X0,compose(a,b)),codomain(b))) ).

cnf(u17694,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(compose(h,a),a),compose(h,a),g),g),g) ).

cnf(u7653,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain(a),b),domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u6920,hypothesis,
    compose(compose(g,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(domain(b),codomain(X0))),compose(compose(g,a),codomain(X0))) ).

cnf(u4262,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(h),codomain(compose(codomain(X0),h)),domain(a)) ).

cnf(u15819,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(domain(X0),b),domain(X0),h),h),h) ).

cnf(u28619,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),X0)),compose(compose(compose(h,a),compose(h,compose(a,b))),X0)),compose(compose(compose(h,a),compose(h,compose(a,b))),X0)) ).

cnf(u29410,hypothesis,
    compose(compose(h,a),compose(a,b)) = ifeq(codomain(b),codomain(compose(compose(h,a),compose(a,b))),ifeq(domain(b),domain(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))) ).

cnf(u15581,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b)) = ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b))) ).

cnf(u11697,hypothesis,
    compose(compose(h,h),g) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(h,g)),compose(compose(h,h),g)),compose(compose(h,h),g)) ).

cnf(u28144,hypothesis,
    compose(compose(h,g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(g,compose(h,a))),compose(compose(h,g),compose(h,a))),compose(compose(h,g),compose(h,a))) ).

cnf(u1493,hypothesis,
    compose(compose(h,compose(a,b)),codomain(b)) = ifeq(codomain(compose(a,b)),codomain(b),compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(b))) ).

cnf(u27545,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u32098,hypothesis,
    compose(compose(compose(a,b),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,codomain(X0))),compose(compose(compose(a,b),g),codomain(X0))),compose(compose(compose(a,b),g),codomain(X0))) ).

cnf(u4122,hypothesis,
    compose(X0,compose(g,a)) = ifeq(codomain(X0),domain(h),compose(domain(X0),compose(X0,compose(g,a))),compose(X0,compose(g,a))) ).

cnf(u20090,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u21660,hypothesis,
    compose(g,domain(b)) = ifeq(domain(b),codomain(compose(g,domain(b))),ifeq(domain(a),domain(b),compose(g,compose(domain(b),codomain(compose(g,domain(b))))),compose(g,domain(b))),compose(g,domain(b))) ).

cnf(u1121,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(X0),codomain(compose(compose(g,a),X0)),codomain(X0)) ).

cnf(u22130,hypothesis,
    compose(compose(g,compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),g)),compose(compose(g,compose(h,a)),g)),compose(compose(g,compose(h,a)),g)) ).

cnf(u5837,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),codomain(b)) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,compose(a,b))),codomain(b))) ).

cnf(u41645,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(h,compose(a,b)),g)),domain(h),compose(compose(h,compose(a,b)),g),compose(compose(domain(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g)),compose(compose(domain(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g)) ).

cnf(u33696,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u8403,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,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))) ).

cnf(u956,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(b),domain(a),codomain(compose(a,compose(a,b))),codomain(compose(a,b))) ).

cnf(u36665,hypothesis,
    compose(compose(compose(g,a),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,codomain(X0))),compose(compose(compose(g,a),g),codomain(X0))),compose(compose(compose(g,a),g),codomain(X0))) ).

cnf(u16667,hypothesis,
    compose(compose(X0,compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),g)),compose(compose(X0,compose(g,a)),g)),compose(compose(X0,compose(g,a)),g)) ).

cnf(u897,hypothesis,
    compose(compose(a,codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),X1)),compose(compose(a,codomain(X0)),X1)),compose(compose(a,codomain(X0)),X1)) ).

cnf(u9861,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u39319,hypothesis,
    compose(compose(a,compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u3158,hypothesis,
    compose(compose(X0,X1),compose(a,b)) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(a,b))),compose(compose(X0,X1),compose(a,b))),compose(compose(X0,X1),compose(a,b))) ).

cnf(u40017,hypothesis,
    compose(compose(g,compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u10472,hypothesis,
    compose(compose(codomain(X0),g),X1) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,X1)),compose(compose(codomain(X0),g),X1)),compose(compose(codomain(X0),g),X1)) ).

cnf(u5049,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(h,a),compose(b,codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u17666,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(compose(a,b),b),compose(a,b),g),g),g) ).

cnf(u18758,hypothesis,
    compose(compose(compose(g,a),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u11024,hypothesis,
    compose(a,codomain(X0)) = ifeq(domain(b),codomain(X0),compose(domain(a),compose(a,codomain(X0))),compose(a,codomain(X0))) ).

cnf(u1691,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(h),domain(compose(X0,compose(h,compose(a,b)))),domain(X0)) ).

cnf(u11083,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),X0),X0),X0),X0) = X0 ).

cnf(u30010,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),domain(b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(b))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(b))) ).

cnf(u1384,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),codomain(compose(compose(g,a),a)),domain(b)) ).

cnf(u11539,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(codomain(b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u102,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(X0),codomain(compose(a,X0)),codomain(X0)) ).

cnf(u20511,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),X0),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),X0),compose(h,compose(a,b)))) ).

cnf(u35518,hypothesis,
    compose(compose(compose(h,a),domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain(X0)),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain(X0)),compose(h,compose(a,b)))) ).

cnf(u17025,hypothesis,
    compose(compose(codomain(X0),domain(b)),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(b),compose(codomain(X0),compose(domain(b),g)),compose(compose(codomain(X0),domain(b)),g)),compose(compose(codomain(X0),domain(b)),g)) ).

cnf(u2310,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),codomain(compose(compose(a,b),a)),domain(b)) ).

cnf(u17332,hypothesis,
    compose(compose(h,codomain(X0)),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),domain(X1))),compose(compose(h,codomain(X0)),domain(X1))),compose(compose(h,codomain(X0)),domain(X1))) ).

cnf(u23545,hypothesis,
    compose(compose(domain(compose(domain(X0),domain(b))),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(domain(compose(domain(X0),domain(b))),domain(X0),compose(domain(X0),domain(b)),compose(compose(domain(compose(domain(X0),domain(b))),domain(X0)),domain(b))),compose(compose(domain(compose(domain(X0),domain(b))),domain(X0)),domain(b))) ).

cnf(u16554,hypothesis,
    compose(compose(compose(g,a),g),a) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),g),a)) ).

cnf(u17646,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),domain(a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),h),compose(compose(compose(h,compose(a,b)),h),domain(a))) ).

cnf(u6827,hypothesis,
    compose(compose(X0,compose(a,b)),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),codomain(X1))),compose(compose(X0,compose(a,b)),codomain(X1))),compose(compose(X0,compose(a,b)),codomain(X1))) ).

cnf(u16592,hypothesis,
    compose(compose(compose(h,a),X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,g)),compose(compose(compose(h,a),X0),g)),compose(compose(compose(h,a),X0),g)) ).

cnf(u16031,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(b,compose(g,b),domain(b),g),g),g) ).

cnf(u1938,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),compose(g,a),compose(g,a)) ).

cnf(u7658,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u6368,hypothesis,
    compose(compose(compose(h,a),X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,compose(a,b))),compose(compose(compose(h,a),X0),compose(a,b))),compose(compose(compose(h,a),X0),compose(a,b))) ).

cnf(u36869,hypothesis,
    compose(compose(codomain(X0),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,compose(g,a))),compose(compose(codomain(X0),g),compose(g,a))),compose(compose(codomain(X0),g),compose(g,a))) ).

cnf(u16159,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(g,a),a),compose(h,a),compose(g,a),h),h),h) ).

cnf(u42730,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u32023,hypothesis,
    compose(compose(codomain(X0),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,compose(g,a))),compose(compose(codomain(X0),a),compose(g,a))),compose(compose(codomain(X0),a),compose(g,a))) ).

cnf(u8404,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u8572,hypothesis,
    compose(compose(domain(compose(X0,compose(h,compose(a,b)))),X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(X0,compose(h,compose(a,b)))),domain(X0),compose(X0,compose(h,compose(a,b))),compose(compose(domain(compose(X0,compose(h,compose(a,b)))),X0),compose(h,compose(a,b)))),compose(compose(domain(compose(X0,compose(h,compose(a,b)))),X0),compose(h,compose(a,b)))) ).

cnf(u8472,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(h,a),X0,h,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u7574,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X0),a),compose(compose(h,compose(a,b)),a),codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u14558,hypothesis,
    compose(compose(h,a),g) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),g)),compose(compose(h,a),g)) ).

cnf(u19350,hypothesis,
    compose(compose(h,domain(X1)),codomain(X0)) = ifeq(domain(X1),codomain(X0),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),codomain(X0))),compose(compose(h,domain(X1)),codomain(X0))),compose(compose(h,domain(X1)),codomain(X0))) ).

cnf(u18797,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X0)) = ifeq(domain(X1),domain(X0),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),domain(X0))),compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X0))),compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X0))) ).

cnf(u14606,hypothesis,
    compose(compose(compose(a,b),domain(h)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),domain(h)),compose(h,compose(a,b)))) ).

cnf(u4929,hypothesis,
    domain(b) = ifeq(b,compose(g,b),g,domain(b)) ).

cnf(u42609,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),compose(a,b))),compose(compose(codomain(X0),compose(h,a)),compose(a,b))),compose(compose(codomain(X0),compose(h,a)),compose(a,b))) ).

cnf(u6421,hypothesis,
    compose(compose(X1,codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X0),compose(a,b))),compose(compose(X1,codomain(X0)),compose(a,b))),compose(compose(X1,codomain(X0)),compose(a,b))) ).

cnf(u13992,hypothesis,
    compose(compose(g,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))) ).

cnf(u17746,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),b) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),compose(h,a)),b)) ).

cnf(u6812,axiom,
    compose(compose(domain(compose(X0,codomain(X1))),X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(compose(X0,codomain(X1))),domain(X0),compose(X0,codomain(X1)),compose(compose(domain(compose(X0,codomain(X1))),X0),codomain(X1))),compose(compose(domain(compose(X0,codomain(X1))),X0),codomain(X1))) ).

cnf(u663,hypothesis,
    a = ifeq(compose(a,b),X0,ifeq(compose(h,b),X0,h,a),a) ).

cnf(u33890,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u6500,hypothesis,
    compose(a,compose(a,b)) = ifeq(domain(b),domain(a),compose(a,compose(domain(b),compose(a,b))),compose(a,compose(a,b))) ).

cnf(u37020,hypothesis,
    compose(compose(h,compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u15688,hypothesis,
    compose(compose(a,b),h) = ifeq(domain(a),codomain(compose(compose(a,b),h)),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,codomain(compose(compose(a,b),h)))),compose(compose(a,b),h)),compose(compose(a,b),h)) ).

cnf(u4149,hypothesis,
    compose(g,compose(g,a)) = ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(g,a))),compose(g,compose(g,a))) ).

cnf(u18119,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(a,compose(h,compose(a,b))),codomain(X0))),compose(compose(a,compose(h,compose(a,b))),codomain(X0))) ).

cnf(u42895,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u2882,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),g)),domain(a)) ).

cnf(u3288,axiom,
    compose(domain(X0),X1) = ifeq(codomain(X1),codomain(compose(domain(X0),X1)),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,codomain(compose(domain(X0),X1)))),compose(domain(X0),X1)),compose(domain(X0),X1)) ).

cnf(u7126,hypothesis,
    compose(compose(X0,domain(X1)),g) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(domain(X1),g)),compose(compose(X0,domain(X1)),g)),compose(compose(X0,domain(X1)),g)) ).

cnf(u1449,hypothesis,
    compose(compose(a,b),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(a,compose(b,compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))) ).

cnf(u17334,hypothesis,
    compose(compose(h,domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),domain(X1))),compose(compose(h,domain(X0)),domain(X1))),compose(compose(h,domain(X0)),domain(X1))) ).

cnf(u1949,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(X1,a),compose(domain(X0),a),X1,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u10638,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(g,b),X0,g,h),h),h) ).

cnf(u3679,hypothesis,
    compose(X0,compose(a,b)) = ifeq(codomain(b),codomain(compose(X0,compose(a,b))),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),codomain(compose(X0,compose(a,b))))),compose(X0,compose(a,b))),compose(X0,compose(a,b))) ).

cnf(u309,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),X1) = ifeq(codomain(compose(a,b)),domain(X1),ifeq(codomain(X0),domain(g),compose(X0,compose(compose(h,compose(a,b)),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)) ).

cnf(u16058,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),b,domain(b),g),g),g) ).

cnf(u26687,axiom,
    compose(domain(X1),codomain(X0)) = ifeq(codomain(X0),codomain(compose(domain(X1),codomain(X0))),ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(codomain(X0),codomain(compose(domain(X1),codomain(X0))))),compose(domain(X1),codomain(X0))),compose(domain(X1),codomain(X0))) ).

cnf(u17070,hypothesis,
    compose(codomain(X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(codomain(X0),compose(h,compose(a,b)))),compose(codomain(X0),compose(h,compose(a,b)))) ).

cnf(u1535,hypothesis,
    compose(compose(domain(compose(a,X0)),a),X0) = ifeq(domain(b),domain(X0),ifeq(domain(compose(a,X0)),domain(a),compose(a,X0),compose(compose(domain(compose(a,X0)),a),X0)),compose(compose(domain(compose(a,X0)),a),X0)) ).

cnf(u11693,hypothesis,
    compose(compose(h,h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u28998,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),compose(a,b))),compose(compose(compose(g,a),codomain(X0)),compose(a,b))),compose(compose(compose(g,a),codomain(X0)),compose(a,b))) ).

cnf(u17577,hypothesis,
    compose(compose(a,domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),compose(h,compose(a,b)))),compose(compose(a,domain(X0)),compose(h,compose(a,b)))),compose(compose(a,domain(X0)),compose(h,compose(a,b)))) ).

cnf(u2671,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(h),codomain(compose(X0,compose(h,a))),domain(b)) ).

cnf(u29061,hypothesis,
    compose(compose(compose(h,a),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u7004,hypothesis,
    compose(compose(h,a),g) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),g)),compose(compose(h,a),g)) ).

cnf(u32576,axiom,
    compose(codomain(X0),codomain(X1)) = ifeq(codomain(X1),codomain(compose(codomain(X0),codomain(X1))),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),codomain(compose(codomain(X0),codomain(X1))))),compose(codomain(X0),codomain(X1))),compose(codomain(X0),codomain(X1))) ).

cnf(u44159,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,a))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,a))) ).

cnf(u1824,hypothesis,
    compose(compose(g,domain(h)),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,domain(h)),compose(h,compose(a,b)))) ).

cnf(u23729,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u8125,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),X0,ifeq(compose(h,a),X0,h,domain(b)),domain(b)) ).

cnf(u4753,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(h,a),g,h),h) ).

cnf(u1144,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(b),domain(a),codomain(compose(compose(g,a),compose(a,b))),codomain(compose(a,b))) ).

cnf(u7364,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u1663,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(a),domain(compose(codomain(X0),compose(a,b))),codomain(X0)) ).

cnf(u5525,hypothesis,
    compose(compose(a,a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(a),compose(a,compose(a,compose(a,b))),compose(compose(a,a),compose(a,b))),compose(compose(a,a),compose(a,b))) ).

cnf(u363,hypothesis,
    compose(compose(g,X0),codomain(X0)) = ifeq(domain(a),domain(X0),compose(g,X0),compose(compose(g,X0),codomain(X0))) ).

cnf(u1123,hypothesis,
    compose(compose(X0,compose(g,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(compose(g,a)),compose(X0,compose(compose(g,a),X1)),compose(compose(X0,compose(g,a)),X1)),compose(compose(X0,compose(g,a)),X1)) ).

cnf(u13362,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(h,compose(a,b)),compose(h,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u3538,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(compose(g,a),a),compose(g,a),domain(a)),domain(a)),domain(a)) ).

cnf(u1265,hypothesis,
    compose(h,codomain(X0)) = ifeq(domain(a),codomain(X0),compose(h,compose(domain(a),codomain(X0))),compose(h,codomain(X0))) ).

cnf(u1354,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u64,axiom,
    compose(X0,X1) = ifeq(codomain(X0),domain(X1),compose(domain(X0),compose(X0,X1)),compose(X0,X1)) ).

cnf(u2602,hypothesis,
    compose(compose(X0,compose(h,a)),b) = ifeq(codomain(X0),domain(compose(h,a)),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(h,a)),b)) ).

cnf(u4119,hypothesis,
    compose(compose(a,X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(X0,compose(g,a))),compose(compose(a,X0),compose(g,a))),compose(compose(a,X0),compose(g,a))) ).

cnf(u16158,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,a),a),compose(h,a),compose(h,a),h),h),h) ).

cnf(u773,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,X0,ifeq(b,X0,domain(b),domain(b)),domain(b)),domain(b)) ).

cnf(u43223,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u40157,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u43586,hypothesis,
    compose(compose(codomain(X0),codomain(X1)),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),compose(h,a))),compose(compose(codomain(X0),codomain(X1)),compose(h,a))),compose(compose(codomain(X0),codomain(X1)),compose(h,a))) ).

cnf(u18850,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,a))) ).

cnf(u494,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(compose(a,b)),domain(a),compose(g,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u20048,hypothesis,
    compose(compose(g,h),a) = ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,h),a)) ).

cnf(u1313,hypothesis,
    compose(compose(X0,h),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,h),compose(domain(a),compose(a,b)))),compose(compose(X0,h),compose(domain(a),compose(a,b)))) ).

cnf(u50682,hypothesis,
    compose(compose(domain(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(g,a),compose(h,a))),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(domain(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a))),compose(compose(domain(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a))) ).

cnf(u17676,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,compose(a,b)),compose(h,a),g),g),g) ).

cnf(u23620,hypothesis,
    compose(compose(codomain(X0),h),domain(X1)) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,domain(X1))),compose(compose(codomain(X0),h),domain(X1))),compose(compose(codomain(X0),h),domain(X1))) ).

cnf(u14504,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,codomain(X0))),compose(compose(compose(h,compose(a,b)),a),codomain(X0))),compose(compose(compose(h,compose(a,b)),a),codomain(X0))) ).

cnf(u3075,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(a,X0,domain(a),g),g),g) ).

cnf(u18417,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(domain(h),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u5723,hypothesis,
    compose(compose(g,codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),X1)),compose(compose(g,codomain(X0)),X1)),compose(compose(g,codomain(X0)),X1)) ).

cnf(u3131,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(g,b),X1,g,X0),X0),X0) = X0 ).

cnf(u2115,hypothesis,
    compose(compose(g,domain(compose(domain(a),compose(a,b)))),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(a,b)),compose(compose(g,domain(compose(domain(a),compose(a,b)))),compose(domain(a),compose(a,b)))) ).

cnf(u305,hypothesis,
    compose(X0,compose(h,compose(a,b))) = ifeq(codomain(X0),domain(g),compose(domain(X0),compose(X0,compose(h,compose(a,b)))),compose(X0,compose(h,compose(a,b)))) ).

cnf(u5716,hypothesis,
    compose(compose(g,compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),X0)),compose(compose(g,compose(g,a)),X0)),compose(compose(g,compose(g,a)),X0)) ).

cnf(u10024,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(a,b),compose(domain(X0),b),domain(X0),a),a) ).

cnf(u325,hypothesis,
    compose(compose(X0,domain(h)),g) = ifeq(codomain(X0),domain(h),compose(X0,g),compose(compose(X0,domain(h)),g)) ).

cnf(u2586,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(X0,b),compose(h,a),X0),X0),X0) = X0 ).

cnf(u1129,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),a),a),a) ).

cnf(u18642,hypothesis,
    a = ifeq(compose(a,b),compose(domain(a),b),domain(a),a) ).

cnf(u1946,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(a,a),compose(X0,a),a,X0),X0),X0) = X0 ).

cnf(u7135,hypothesis,
    compose(compose(X0,domain(X1)),domain(b)) = ifeq(domain(X1),domain(b),ifeq(codomain(X0),domain(X1),compose(X0,compose(domain(X1),domain(b))),compose(compose(X0,domain(X1)),domain(b))),compose(compose(X0,domain(X1)),domain(b))) ).

cnf(u2667,hypothesis,
    compose(X0,compose(h,a)) = ifeq(codomain(X0),domain(h),compose(X0,compose(codomain(X0),compose(h,a))),compose(X0,compose(h,a))) ).

cnf(u95,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(X0,b),X0,X1),X1),X1) = X1 ).

cnf(u2875,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(compose(g,a),g)),domain(a)) ).

cnf(u2277,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(X0),codomain(compose(compose(a,b),X0)),codomain(X0)) ).

cnf(u34450,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,a),a),compose(compose(a,b),a),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u3539,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(compose(a,b),a),compose(a,b),domain(a)),domain(a)),domain(a)) ).

cnf(u9385,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(domain(b),a),a,domain(b)),domain(b)) ).

cnf(u22817,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),a) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),h),a)) ).

cnf(u8575,hypothesis,
    compose(compose(domain(compose(X0,compose(g,a))),X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(X0,compose(g,a))),domain(X0),compose(X0,compose(g,a)),compose(compose(domain(compose(X0,compose(g,a))),X0),compose(g,a))),compose(compose(domain(compose(X0,compose(g,a))),X0),compose(g,a))) ).

cnf(u21661,hypothesis,
    compose(g,domain(X0)) = ifeq(domain(X0),codomain(compose(g,domain(X0))),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),codomain(compose(g,domain(X0))))),compose(g,domain(X0))),compose(g,domain(X0))) ).

cnf(u8275,hypothesis,
    compose(compose(a,g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u11593,hypothesis,
    compose(compose(h,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(b),domain(X0))),compose(compose(h,a),domain(X0))) ).

cnf(u19843,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(compose(h,a),a),compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u17878,hypothesis,
    compose(compose(compose(g,a),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,domain(X0))),compose(compose(compose(g,a),a),domain(X0))),compose(compose(compose(g,a),a),domain(X0))) ).

cnf(u22432,hypothesis,
    compose(compose(g,g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(g,compose(g,a))),compose(compose(g,g),compose(g,a))),compose(compose(g,g),compose(g,a))) ).

cnf(u41731,hypothesis,
    compose(compose(domain(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(compose(compose(h,a),compose(a,b))),domain(h),compose(compose(h,a),compose(a,b)),compose(compose(domain(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b))),compose(compose(domain(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b))) ).

cnf(u34325,hypothesis,
    compose(compose(domain(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(a,b),compose(g,a))),domain(a),compose(compose(a,b),compose(g,a)),compose(compose(domain(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a))),compose(compose(domain(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a))) ).

cnf(u5522,hypothesis,
    compose(compose(a,a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(a,compose(a,domain(X0))),compose(compose(a,a),domain(X0))),compose(compose(a,a),domain(X0))) ).

cnf(u23139,hypothesis,
    compose(compose(domain(X1),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(codomain(X0),domain(b))),compose(compose(domain(X1),codomain(X0)),domain(b))),compose(compose(domain(X1),codomain(X0)),domain(b))) ).

cnf(u35162,hypothesis,
    compose(compose(h,compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u34490,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u3836,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(compose(g,a),a,g,domain(a)),domain(a)) ).

cnf(u20032,hypothesis,
    compose(compose(g,h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(h,domain(X0))),compose(compose(g,h),domain(X0))),compose(compose(g,h),domain(X0))) ).

cnf(u4941,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(g,a),g,codomain(X0)),codomain(X0)) ).

cnf(u18419,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u189,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(compose(a,b)),domain(X0),compose(codomain(h),compose(compose(a,b),X0)),compose(compose(a,b),X0)) ).

cnf(u3333,hypothesis,
    compose(compose(domain(X0),g),X1) = ifeq(domain(a),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,X1)),compose(compose(domain(X0),g),X1)),compose(compose(domain(X0),g),X1)) ).

cnf(u9377,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),X0,ifeq(a,X0,domain(a),domain(b)),domain(b)) ).

cnf(u31490,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X0),b),compose(compose(a,b),b),codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u30356,hypothesis,
    compose(compose(compose(a,b),X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,compose(h,a))),compose(compose(compose(a,b),X0),compose(h,a))),compose(compose(compose(a,b),X0),compose(h,a))) ).

cnf(u27767,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(domain(b),codomain(compose(compose(h,compose(a,b)),compose(h,a))),ifeq(codomain(b),domain(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))) ).

cnf(u1484,hypothesis,
    compose(a,b) = ifeq(codomain(compose(a,b)),codomain(b),compose(compose(a,b),compose(codomain(compose(a,b)),codomain(b))),compose(a,b)) ).

cnf(u652,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(a,b),X1,ifeq(compose(domain(X0),b),X1,domain(X0),a),a),a) ).

cnf(u17204,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u5978,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,compose(g,a),domain(b)),domain(b)) ).

cnf(u855,hypothesis,
    compose(compose(a,X1),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(b),domain(X1),compose(a,compose(X1,domain(X0))),compose(compose(a,X1),domain(X0))),compose(compose(a,X1),domain(X0))) ).

cnf(u28663,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),domain(b)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),compose(h,a)),domain(b))) ).

cnf(u14670,hypothesis,
    compose(compose(domain(X0),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),compose(a,b))),compose(compose(domain(X0),compose(a,b)),compose(a,b))),compose(compose(domain(X0),compose(a,b)),compose(a,b))) ).

cnf(u6180,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(g,a),a),a,compose(g,a)),compose(g,a)) ).

cnf(u3592,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),domain(a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),g),domain(a))) ).

cnf(u6245,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u8828,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),g),g),g),g) ).

cnf(u8567,hypothesis,
    compose(compose(domain(compose(X0,domain(b))),X0),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(compose(X0,domain(b))),domain(X0),compose(X0,domain(b)),compose(compose(domain(compose(X0,domain(b))),X0),domain(b))),compose(compose(domain(compose(X0,domain(b))),X0),domain(b))) ).

cnf(u7530,hypothesis,
    compose(compose(X1,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),domain(X0))),compose(compose(X1,compose(a,b)),domain(X0))),compose(compose(X1,compose(a,b)),domain(X0))) ).

cnf(u7571,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u35520,hypothesis,
    compose(compose(compose(h,a),domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),compose(h,a))),compose(compose(compose(h,a),domain(X0)),compose(h,a))),compose(compose(compose(h,a),domain(X0)),compose(h,a))) ).

cnf(u10458,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),X1)),compose(compose(codomain(X0),compose(g,a)),X1)),compose(compose(codomain(X0),compose(g,a)),X1)) ).

cnf(u3837,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(compose(h,a),a,h,domain(a)),domain(a)) ).

cnf(u6237,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u456,hypothesis,
    domain(compose(g,a)) = ifeq(codomain(compose(g,a)),domain(b),domain(h),domain(compose(g,a))) ).

cnf(u6828,axiom,
    compose(compose(X1,codomain(X0)),codomain(X2)) = ifeq(codomain(X0),codomain(X2),ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X0),codomain(X2))),compose(compose(X1,codomain(X0)),codomain(X2))),compose(compose(X1,codomain(X0)),codomain(X2))) ).

cnf(u46064,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u16372,hypothesis,
    compose(compose(a,codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),compose(g,a))),compose(compose(a,codomain(X0)),compose(g,a))),compose(compose(a,codomain(X0)),compose(g,a))) ).

cnf(u1431,hypothesis,
    compose(compose(compose(h,a),domain(X0)),X0) = ifeq(domain(b),domain(X0),compose(compose(h,a),X0),compose(compose(compose(h,a),domain(X0)),X0)) ).

cnf(u40583,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u653,hypothesis,
    a = ifeq(codomain(compose(a,b)),domain(a),ifeq(compose(a,b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),a),a),a) ).

cnf(u8287,hypothesis,
    compose(compose(a,g),a) = ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,g),a)) ).

cnf(u18664,hypothesis,
    compose(g,a) = ifeq(compose(domain(a),b),compose(h,compose(a,b)),domain(a),compose(g,a)) ).

cnf(u23619,hypothesis,
    compose(compose(domain(X0),h),domain(X1)) = ifeq(domain(a),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,domain(X1))),compose(compose(domain(X0),h),domain(X1))),compose(compose(domain(X0),h),domain(X1))) ).

cnf(u24478,hypothesis,
    compose(compose(h,compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),codomain(X0))),compose(compose(h,compose(h,a)),codomain(X0))),compose(compose(h,compose(h,a)),codomain(X0))) ).

cnf(u72,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(codomain(h),domain(b),ifeq(compose(g,a),X1,ifeq(compose(X0,a),X1,X0,g),g),g),g) ).

cnf(u1694,hypothesis,
    compose(compose(X0,X1),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(h,compose(a,b)))),compose(compose(X0,X1),compose(h,compose(a,b)))),compose(compose(X0,X1),compose(h,compose(a,b)))) ).

cnf(u39664,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),domain(X0))),compose(compose(compose(a,b),compose(h,a)),domain(X0))),compose(compose(compose(a,b),compose(h,a)),domain(X0))) ).

cnf(u10025,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,b),compose(codomain(X0),b),codomain(X0),a),a) ).

cnf(u423,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(X0,a),X1,X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u8704,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),X0)),compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(compose(compose(h,compose(a,b)),X0)),domain(h),compose(compose(h,compose(a,b)),X0),compose(compose(domain(compose(compose(h,compose(a,b)),X0)),compose(h,compose(a,b))),X0)),compose(compose(domain(compose(compose(h,compose(a,b)),X0)),compose(h,compose(a,b))),X0)) ).

cnf(u9370,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(domain(b),a),compose(X0,a),X0,domain(b)),domain(b)) ).

cnf(u900,hypothesis,
    compose(compose(a,X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),domain(X0),compose(a,compose(X0,compose(a,b))),compose(compose(a,X0),compose(a,b))),compose(compose(a,X0),compose(a,b))) ).

cnf(u31758,hypothesis,
    compose(compose(domain(X0),g),g) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,g)),compose(compose(domain(X0),g),g)),compose(compose(domain(X0),g),g)) ).

cnf(u5717,hypothesis,
    compose(compose(g,compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),X0)),compose(compose(g,compose(h,a)),X0)),compose(compose(g,compose(h,a)),X0)) ).

cnf(u23718,hypothesis,
    compose(compose(domain(compose(a,g)),a),g) = ifeq(domain(b),domain(h),ifeq(domain(compose(a,g)),domain(a),compose(a,g),compose(compose(domain(compose(a,g)),a),g)),compose(compose(domain(compose(a,g)),a),g)) ).

cnf(u1926,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(g,a),g,X0),X0) = X0 ).

cnf(u17326,hypothesis,
    compose(compose(h,compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),domain(X0))),compose(compose(h,compose(h,a)),domain(X0))),compose(compose(h,compose(h,a)),domain(X0))) ).

cnf(u3511,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(b,X0,domain(b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u5056,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u33765,hypothesis,
    compose(compose(domain(compose(domain(X0),compose(h,a))),domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(compose(domain(X0),compose(h,a))),domain(X0),compose(domain(X0),compose(h,a)),compose(compose(domain(compose(domain(X0),compose(h,a))),domain(X0)),compose(h,a))),compose(compose(domain(compose(domain(X0),compose(h,a))),domain(X0)),compose(h,a))) ).

cnf(u1435,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(X0,a),X1,X0,compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u11268,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),compose(a,b)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),g),compose(a,b))) ).

cnf(u1940,hypothesis,
    g = ifeq(domain(a),domain(b),g,g) ).

cnf(u9841,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u4668,hypothesis,
    a = ifeq(compose(a,a),compose(h,a),h,a) ).

cnf(u10055,hypothesis,
    compose(compose(X1,h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(X1),domain(h),compose(X1,compose(h,domain(X0))),compose(compose(X1,h),domain(X0))),compose(compose(X1,h),domain(X0))) ).

cnf(u49,hypothesis,
    compose(compose(X0,compose(a,b)),X1) = ifeq(codomain(compose(a,b)),domain(X1),ifeq(codomain(X0),codomain(h),compose(X0,compose(compose(a,b),X1)),compose(compose(X0,compose(a,b)),X1)),compose(compose(X0,compose(a,b)),X1)) ).

cnf(u7869,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),compose(g,a),compose(h,a)) ).

cnf(u13527,hypothesis,
    compose(compose(domain(compose(a,compose(a,b))),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(compose(a,compose(a,b))),domain(a),compose(a,compose(a,b)),compose(compose(domain(compose(a,compose(a,b))),a),compose(a,b))),compose(compose(domain(compose(a,compose(a,b))),a),compose(a,b))) ).

cnf(u11531,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(codomain(b),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u9362,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),domain(b)),domain(b)),domain(b)) ).

cnf(u6531,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(domain(h),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u38319,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,domain(X0))),compose(compose(compose(h,compose(a,b)),g),domain(X0))),compose(compose(compose(h,compose(a,b)),g),domain(X0))) ).

cnf(u23789,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(domain(a),b),X0,domain(a),compose(h,a)),compose(h,a)) ).

cnf(u3234,hypothesis,
    compose(compose(domain(X0),X1),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,compose(h,a))),compose(compose(domain(X0),X1),compose(h,a))),compose(compose(domain(X0),X1),compose(h,a))) ).

cnf(u17697,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(a,a),a,g),g),g) ).

cnf(u13970,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),h),h),h),h) ).

cnf(u3040,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),domain(compose(a,compose(h,compose(a,b)))),domain(a)) ).

cnf(u6587,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(a,a),X1,a,domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u36464,hypothesis,
    compose(compose(h,a),compose(g,a)) = ifeq(domain(b),codomain(compose(compose(h,a),compose(g,a))),ifeq(domain(b),domain(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))) ).

cnf(u8347,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(h,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u29121,hypothesis,
    compose(compose(g,a),compose(g,a)) = ifeq(domain(b),codomain(compose(compose(g,a),compose(g,a))),ifeq(domain(b),domain(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))) ).

cnf(u517,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(h),domain(compose(domain(X0),compose(h,compose(a,b)))),domain(X0)) ).

cnf(u14432,hypothesis,
    compose(a,compose(a,b)) = ifeq(codomain(b),codomain(compose(a,compose(a,b))),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),codomain(compose(a,compose(a,b))))),compose(a,compose(a,b))),compose(a,compose(a,b))) ).

cnf(u12684,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(domain(X0),b),compose(g,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u14700,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(g,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u3418,hypothesis,
    compose(compose(domain(X0),domain(h)),g) = ifeq(domain(X0),domain(h),compose(domain(X0),g),compose(compose(domain(X0),domain(h)),g)) ).

cnf(u5725,hypothesis,
    compose(compose(g,domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),X1)),compose(compose(g,domain(X0)),X1)),compose(compose(g,domain(X0)),X1)) ).

cnf(u35336,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u1508,hypothesis,
    compose(compose(X1,a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(X1),domain(a),compose(X1,compose(a,codomain(X0))),compose(compose(X1,a),codomain(X0))),compose(compose(X1,a),codomain(X0))) ).

cnf(u10375,hypothesis,
    compose(compose(codomain(X0),X1),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,compose(h,a))),compose(compose(codomain(X0),X1),compose(h,a))),compose(compose(codomain(X0),X1),compose(h,a))) ).

cnf(u3537,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(compose(h,a),a),compose(h,a),domain(a)),domain(a)),domain(a)) ).

cnf(u7349,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u1557,hypothesis,
    compose(compose(g,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(g,compose(a,domain(X0))),compose(compose(g,a),domain(X0))) ).

cnf(u8825,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u5532,hypothesis,
    compose(compose(a,a),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(a),compose(a,compose(a,g)),compose(compose(a,a),g)),compose(compose(a,a),g)) ).

cnf(u28763,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),codomain(X1))),compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X1))),compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X1))) ).

cnf(u2186,hypothesis,
    domain(X0) = ifeq(domain(b),domain(X0),codomain(compose(compose(h,a),domain(X0))),domain(X0)) ).

cnf(u4746,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(g,a),compose(domain(X0),a),g,domain(X0)),domain(X0)) ).

cnf(u4443,hypothesis,
    domain(b) = ifeq(compose(h,b),b,h,domain(b)) ).

cnf(u766,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,X0,ifeq(compose(a,b),X0,a,domain(b)),domain(b)),domain(b)) ).

cnf(u2548,hypothesis,
    domain(a) = ifeq(codomain(b),domain(X0),domain(compose(compose(a,b),domain(X0))),domain(a)) ).

cnf(u14426,hypothesis,
    compose(a,compose(g,a)) = ifeq(domain(b),codomain(compose(a,compose(g,a))),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),codomain(compose(a,compose(g,a))))),compose(a,compose(g,a))),compose(a,compose(g,a))) ).

cnf(u69,hypothesis,
    compose(compose(X0,g),X1) = ifeq(codomain(h),domain(X1),ifeq(codomain(X0),domain(g),compose(X0,compose(g,X1)),compose(compose(X0,g),X1)),compose(compose(X0,g),X1)) ).

cnf(u33629,hypothesis,
    compose(compose(compose(a,b),domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),compose(h,a))),compose(compose(compose(a,b),domain(X0)),compose(h,a))),compose(compose(compose(a,b),domain(X0)),compose(h,a))) ).

cnf(u9756,hypothesis,
    compose(h,domain(X0)) = ifeq(domain(a),domain(X0),compose(domain(h),compose(h,domain(X0))),compose(h,domain(X0))) ).

cnf(u23169,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),domain(b))),compose(compose(domain(X0),compose(h,compose(a,b))),domain(b))),compose(compose(domain(X0),compose(h,compose(a,b))),domain(b))) ).

cnf(u12654,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(a,b),b),compose(domain(X0),b),compose(a,b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u5031,hypothesis,
    codomain(X0) = ifeq(codomain(b),codomain(X0),codomain(compose(compose(a,b),codomain(X0))),codomain(X0)) ).

cnf(u1406,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),X0),X0),X0),X0) = X0 ).

cnf(u15002,hypothesis,
    compose(compose(compose(h,a),a),b) = ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),a),b)) ).

cnf(u33893,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u2299,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(X0,a),X0,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u4629,hypothesis,
    a = ifeq(compose(a,b),compose(h,b),h,a) ).

cnf(u29396,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),domain(X0))),compose(compose(compose(h,a),compose(a,b)),domain(X0))),compose(compose(compose(h,a),compose(a,b)),domain(X0))) ).

cnf(u1505,hypothesis,
    domain(a) = ifeq(codomain(compose(a,b)),codomain(b),domain(a),domain(a)) ).

cnf(u11703,hypothesis,
    compose(compose(h,h),a) = ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,h),a)) ).

cnf(u2296,hypothesis,
    compose(compose(compose(a,b),X0),codomain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(a,b),X0),compose(compose(compose(a,b),X0),codomain(X0))) ).

cnf(u6829,hypothesis,
    compose(compose(X0,domain(b)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(b),compose(X0,compose(domain(b),codomain(X1))),compose(compose(X0,domain(b)),codomain(X1))),compose(compose(X0,domain(b)),codomain(X1))) ).

cnf(u8052,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(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)) ).

cnf(u16011,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,compose(a,b)),compose(h,b),compose(g,a),h),h),h) ).

cnf(u35335,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u3132,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(g,a),X1,g,X0),X0),X0) = X0 ).

cnf(u27992,hypothesis,
    compose(compose(codomain(X0),g),domain(b)) = ifeq(domain(a),domain(b),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,domain(b))),compose(compose(codomain(X0),g),domain(b))),compose(compose(codomain(X0),g),domain(b))) ).

cnf(u6963,axiom,
    compose(codomain(X1),domain(X0)) = ifeq(codomain(X1),domain(X0),compose(codomain(X1),compose(codomain(X1),domain(X0))),compose(codomain(X1),domain(X0))) ).

cnf(u332,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(h),codomain(compose(X0,g)),domain(a)) ).

cnf(u3584,hypothesis,
    compose(compose(compose(a,b),g),domain(a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),g),compose(compose(compose(a,b),g),domain(a))) ).

cnf(u7354,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X0,a),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u8665,hypothesis,
    compose(compose(domain(compose(g,X0)),g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(compose(g,X0)),domain(h),compose(g,X0),compose(compose(domain(compose(g,X0)),g),X0)),compose(compose(domain(compose(g,X0)),g),X0)) ).

cnf(u12235,hypothesis,
    compose(compose(domain(X0),compose(g,a)),domain(b)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,a)),compose(compose(domain(X0),compose(g,a)),domain(b))) ).

cnf(u4116,hypothesis,
    compose(compose(X0,X1),compose(g,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(g,a))),compose(compose(X0,X1),compose(g,a))),compose(compose(X0,X1),compose(g,a))) ).

cnf(u17782,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),compose(domain(a),b),domain(a),compose(g,a)) ).

cnf(u155,hypothesis,
    compose(compose(g,domain(X0)),X0) = ifeq(codomain(h),domain(X0),compose(g,X0),compose(compose(g,domain(X0)),X0)) ).

cnf(u23800,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(domain(a),b),compose(compose(a,b),b),domain(a),compose(a,b)),compose(a,b)) ).

cnf(u46166,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u37540,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),domain(b))),compose(compose(compose(a,b),codomain(X0)),domain(b))),compose(compose(compose(a,b),codomain(X0)),domain(b))) ).

cnf(u10600,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,a),a,domain(a),h),h) ).

cnf(u34260,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u10071,hypothesis,
    compose(compose(compose(a,b),h),X0) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,X0)),compose(compose(compose(a,b),h),X0)),compose(compose(compose(a,b),h),X0)) ).

cnf(u9406,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(g,a),a),compose(g,a),domain(b)),domain(b)) ).

cnf(u3220,hypothesis,
    compose(compose(domain(X0),compose(g,a)),X1) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(compose(g,a)),compose(domain(X0),compose(compose(g,a),X1)),compose(compose(domain(X0),compose(g,a)),X1)),compose(compose(domain(X0),compose(g,a)),X1)) ).

cnf(u7387,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X0,b),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u36489,hypothesis,
    compose(compose(h,a),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(compose(h,a),compose(h,compose(a,b)))),ifeq(domain(b),domain(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)))) ).

cnf(u17028,hypothesis,
    compose(compose(codomain(X0),g),g) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,g)),compose(compose(codomain(X0),g),g)),compose(compose(codomain(X0),g),g)) ).

cnf(u4767,hypothesis,
    compose(g,a) = ifeq(compose(g,a),compose(compose(g,a),a),g,compose(g,a)) ).

cnf(u5491,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(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)) ).

cnf(u43164,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u6508,hypothesis,
    compose(compose(g,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(domain(h),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))) ).

cnf(u11051,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(X0),codomain(compose(compose(h,compose(a,b)),domain(X0))),domain(X0)) ).

cnf(u6196,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(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)) ).

cnf(u65,axiom,
    compose(X0,X1) = ifeq(codomain(codomain(X0)),domain(X1),compose(X0,compose(codomain(X0),X1)),compose(X0,X1)) ).

cnf(u23771,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(domain(a),b),X0,domain(a),g),g),g) ).

cnf(u39497,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u17695,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(compose(g,a),a),compose(g,a),g),g),g) ).

cnf(u2349,hypothesis,
    compose(compose(a,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),X0)),compose(compose(a,compose(a,b)),X0)),compose(compose(a,compose(a,b)),X0)) ).

cnf(u40371,hypothesis,
    compose(compose(codomain(X1),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(X1),codomain(X0),compose(codomain(X1),compose(codomain(X0),compose(g,a))),compose(compose(codomain(X1),codomain(X0)),compose(g,a))),compose(compose(codomain(X1),codomain(X0)),compose(g,a))) ).

cnf(u16010,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,compose(a,b)),compose(h,b),compose(h,a),h),h),h) ).

cnf(u2669,hypothesis,
    compose(compose(a,compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),X0)),compose(compose(a,compose(h,a)),X0)),compose(compose(a,compose(h,a)),X0)) ).

cnf(u41112,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u11113,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u3581,hypothesis,
    compose(compose(g,g),domain(a)) = ifeq(domain(a),domain(h),compose(g,g),compose(compose(g,g),domain(a))) ).

cnf(u10063,hypothesis,
    compose(compose(X0,h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(h,a))),compose(compose(X0,h),compose(h,a))),compose(compose(X0,h),compose(h,a))) ).

cnf(u28895,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X0))) ).

cnf(u29804,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u2270,hypothesis,
    compose(h,compose(a,b)) = compose(compose(h,compose(a,b)),codomain(b)) ).

cnf(u7122,hypothesis,
    compose(compose(compose(h,a),domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),X1)),compose(compose(compose(h,a),domain(X0)),X1)),compose(compose(compose(h,a),domain(X0)),X1)) ).

cnf(u182,hypothesis,
    compose(a,X0) = ifeq(domain(b),domain(X0),compose(domain(a),compose(a,X0)),compose(a,X0)) ).

cnf(u5795,hypothesis,
    compose(compose(g,compose(h,a)),b) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,a)),b)) ).

cnf(u15994,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X0),b),compose(h,b),domain(X0),h),h),h) ).

cnf(u48159,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u4496,hypothesis,
    compose(g,a) = ifeq(compose(h,a),compose(compose(g,a),a),h,compose(g,a)) ).

cnf(u1899,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(codomain(X0),a),codomain(X0),X1),X1),X1) = X1 ).

cnf(u15254,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u6241,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(g,b),X1,g,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u18920,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(g,a),a),compose(codomain(X0),a),compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u38950,hypothesis,
    compose(compose(a,compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u31205,hypothesis,
    compose(compose(codomain(X0),domain(X1)),compose(h,compose(a,b))) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(codomain(X0),domain(X1)),compose(h,compose(a,b)))),compose(compose(codomain(X0),domain(X1)),compose(h,compose(a,b)))) ).

cnf(u1094,hypothesis,
    domain(b) = codomain(compose(g,a)) ).

cnf(u36807,hypothesis,
    compose(compose(domain(compose(a,compose(g,a))),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(a,compose(g,a))),domain(a),compose(a,compose(g,a)),compose(compose(domain(compose(a,compose(g,a))),a),compose(g,a))),compose(compose(domain(compose(a,compose(g,a))),a),compose(g,a))) ).

cnf(u6614,hypothesis,
    compose(a,domain(X0)) = ifeq(domain(b),domain(X0),compose(a,compose(domain(b),domain(X0))),compose(a,domain(X0))) ).

cnf(u9395,hypothesis,
    domain(b) = ifeq(compose(h,a),compose(domain(b),a),h,domain(b)) ).

cnf(u43155,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X0))) ).

cnf(u15227,hypothesis,
    compose(compose(a,compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u25166,hypothesis,
    compose(compose(compose(h,a),domain(h)),compose(g,a)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),domain(h)),compose(g,a))) ).

cnf(u8336,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u10126,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,a),compose(compose(a,b),a),compose(a,b),a),a) ).

cnf(u4920,hypothesis,
    a = ifeq(compose(a,b),compose(g,b),g,a) ).

cnf(u31635,hypothesis,
    compose(compose(domain(X0),codomain(X1)),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),codomain(X1),compose(domain(X0),compose(codomain(X1),compose(h,a))),compose(compose(domain(X0),codomain(X1)),compose(h,a))),compose(compose(domain(X0),codomain(X1)),compose(h,a))) ).

cnf(u9523,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),a),compose(a,a),domain(X0),a),a) ).

cnf(u4940,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(g,a),g,domain(X0)),domain(X0)) ).

cnf(u28397,hypothesis,
    compose(codomain(X0),h) = ifeq(domain(a),codomain(compose(codomain(X0),h)),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,codomain(compose(codomain(X0),h)))),compose(codomain(X0),h)),compose(codomain(X0),h)) ).

cnf(u16558,hypothesis,
    compose(compose(g,g),a) = ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,g),a)) ).

cnf(u49730,hypothesis,
    compose(compose(domain(X0),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),compose(g,a))),compose(compose(domain(X0),compose(g,a)),compose(g,a))),compose(compose(domain(X0),compose(g,a)),compose(g,a))) ).

cnf(u28491,hypothesis,
    compose(compose(compose(h,a),X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,compose(h,a))),compose(compose(compose(h,a),X0),compose(h,a))),compose(compose(compose(h,a),X0),compose(h,a))) ).

cnf(u5033,hypothesis,
    codomain(X0) = ifeq(domain(b),codomain(X0),codomain(compose(compose(h,a),codomain(X0))),codomain(X0)) ).

cnf(u9681,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),g),g),g),g) ).

cnf(u772,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,b),b,X0,domain(b)),domain(b)) ).

cnf(u31636,hypothesis,
    compose(compose(domain(X0),codomain(X1)),compose(g,a)) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),codomain(X1),compose(domain(X0),compose(codomain(X1),compose(g,a))),compose(compose(domain(X0),codomain(X1)),compose(g,a))),compose(compose(domain(X0),codomain(X1)),compose(g,a))) ).

cnf(u13514,hypothesis,
    compose(compose(codomain(X0),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,compose(a,b))),compose(compose(codomain(X0),a),compose(a,b))),compose(compose(codomain(X0),a),compose(a,b))) ).

cnf(u16785,hypothesis,
    compose(compose(a,h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(a,compose(h,codomain(X0))),compose(compose(a,h),codomain(X0))),compose(compose(a,h),codomain(X0))) ).

cnf(u7557,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u11309,hypothesis,
    codomain(b) = ifeq(codomain(b),domain(a),codomain(compose(compose(h,compose(a,b)),compose(a,b))),codomain(b)) ).

cnf(u4928,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(g,a)) ).

cnf(u8475,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(h,a),X0,h,g),g),g) ).

cnf(u40162,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u18156,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),compose(g,a),a,g),g),g) ).

cnf(u506,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(h),domain(compose(domain(X0),g)),domain(X0)) ).

cnf(u8912,hypothesis,
    codomain(b) = ifeq(domain(b),domain(a),codomain(compose(compose(h,a),compose(a,b))),codomain(b)) ).

cnf(u3586,hypothesis,
    compose(compose(compose(h,a),g),domain(a)) = ifeq(domain(b),domain(h),compose(compose(h,a),g),compose(compose(compose(h,a),g),domain(a))) ).

cnf(u16555,hypothesis,
    compose(compose(compose(a,b),g),a) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),g),a)) ).

cnf(u6718,hypothesis,
    compose(compose(compose(g,a),X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,codomain(X1))),compose(compose(compose(g,a),X0),codomain(X1))),compose(compose(compose(g,a),X0),codomain(X1))) ).

cnf(u18416,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(domain(h),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u1529,hypothesis,
    compose(compose(X0,a),b) = ifeq(codomain(X0),domain(a),compose(X0,compose(a,b)),compose(compose(X0,a),b)) ).

cnf(u17023,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),g)),compose(compose(codomain(X0),compose(a,b)),g)),compose(compose(codomain(X0),compose(a,b)),g)) ).

cnf(u32102,hypothesis,
    compose(compose(compose(a,b),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u46,hypothesis,
    compose(compose(X0,X1),compose(a,b)) = ifeq(codomain(X1),codomain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(a,b))),compose(compose(X0,X1),compose(a,b))),compose(compose(X0,X1),compose(a,b))) ).

cnf(u43222,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u2666,hypothesis,
    compose(compose(X0,domain(h)),compose(h,a)) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,a)),compose(compose(X0,domain(h)),compose(h,a))) ).

cnf(u178,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),a,domain(a),X0),X0) = X0 ).

cnf(u9734,hypothesis,
    compose(compose(a,compose(a,b)),codomain(b)) = ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,compose(a,b)),codomain(b))) ).

cnf(u6177,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(compose(g,a),a),compose(h,a),compose(g,a)),compose(g,a)) ).

cnf(u38142,hypothesis,
    compose(compose(compose(h,a),g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,domain(X0))),compose(compose(compose(h,a),g),domain(X0))),compose(compose(compose(h,a),g),domain(X0))) ).

cnf(u2675,hypothesis,
    domain(h) = ifeq(domain(b),domain(a),domain(compose(compose(h,a),compose(a,b))),domain(h)) ).

cnf(u20049,hypothesis,
    compose(g,h) = ifeq(domain(a),codomain(compose(g,h)),ifeq(domain(a),domain(h),compose(g,compose(h,codomain(compose(g,h)))),compose(g,h)),compose(g,h)) ).

cnf(u41730,hypothesis,
    compose(compose(domain(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(compose(compose(g,a),compose(a,b))),domain(h),compose(compose(g,a),compose(a,b)),compose(compose(domain(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b))),compose(compose(domain(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b))) ).

cnf(u2288,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(b,X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),domain(b)),domain(b)),domain(b)) ).

cnf(u28993,hypothesis,
    compose(compose(domain(X0),codomain(X1)),compose(a,b)) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),codomain(X1),compose(domain(X0),compose(codomain(X1),compose(a,b))),compose(compose(domain(X0),codomain(X1)),compose(a,b))),compose(compose(domain(X0),codomain(X1)),compose(a,b))) ).

cnf(u11032,hypothesis,
    compose(a,g) = ifeq(domain(b),domain(h),compose(domain(a),compose(a,g)),compose(a,g)) ).

cnf(u2514,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),codomain(b)) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(h,compose(a,b))),codomain(b))) ).

cnf(u23503,hypothesis,
    compose(compose(codomain(X0),domain(X1)),domain(b)) = ifeq(domain(X1),domain(b),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),domain(b))),compose(compose(codomain(X0),domain(X1)),domain(b))),compose(compose(codomain(X0),domain(X1)),domain(b))) ).

cnf(u19844,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(compose(g,a),a),compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u4187,hypothesis,
    compose(g,compose(g,a)) = ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(g,a))),compose(g,compose(g,a))) ).

cnf(u2804,hypothesis,
    compose(compose(compose(a,b),domain(a)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),domain(a)),compose(a,b))) ).

cnf(u36868,hypothesis,
    compose(compose(codomain(X0),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,compose(h,a))),compose(compose(codomain(X0),g),compose(h,a))),compose(compose(codomain(X0),g),compose(h,a))) ).

cnf(u1503,hypothesis,
    compose(compose(a,compose(a,b)),codomain(b)) = ifeq(codomain(compose(a,b)),codomain(b),ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,compose(a,b)),codomain(b))),compose(compose(a,compose(a,b)),codomain(b))) ).

cnf(u7035,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),domain(a),domain(a)) ).

cnf(u1434,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),b),X1,ifeq(compose(X0,b),X1,X0,compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u39525,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u14142,hypothesis,
    compose(compose(compose(g,a),X0),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,domain(X1))),compose(compose(compose(g,a),X0),domain(X1))),compose(compose(compose(g,a),X0),domain(X1))) ).

cnf(u8333,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u9528,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(a,a),compose(a,b),a),a) ).

cnf(u853,hypothesis,
    compose(compose(a,h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(h,X0)),compose(compose(a,h),X0)),compose(compose(a,h),X0)) ).

cnf(u7654,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u10169,hypothesis,
    compose(compose(g,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),compose(g,a))),compose(compose(g,a),compose(g,a))) ).

cnf(u10531,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),b) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),compose(g,a)),b)) ).

cnf(u2322,hypothesis,
    compose(compose(compose(a,b),g),compose(a,b)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),g),compose(a,b))) ).

cnf(u28012,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),domain(b))),compose(compose(codomain(X0),compose(h,compose(a,b))),domain(b))),compose(compose(codomain(X0),compose(h,compose(a,b))),domain(b))) ).

cnf(u426,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(a,X0,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1728,hypothesis,
    domain(h) = ifeq(codomain(compose(a,b)),domain(X0),domain(compose(compose(h,compose(a,b)),X0)),domain(h)) ).

cnf(u7623,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u43955,hypothesis,
    compose(codomain(X0),compose(g,a)) = ifeq(domain(b),codomain(compose(codomain(X0),compose(g,a))),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),codomain(compose(codomain(X0),compose(g,a))))),compose(codomain(X0),compose(g,a))),compose(codomain(X0),compose(g,a))) ).

cnf(u1393,hypothesis,
    domain(b) = codomain(compose(h,a)) ).

cnf(u28906,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,codomain(X0))),compose(compose(compose(h,compose(a,b)),g),codomain(X0))),compose(compose(compose(h,compose(a,b)),g),codomain(X0))) ).

cnf(u12842,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,a),a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u42,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(b,X1,ifeq(compose(X0,b),X1,X0,domain(b)),domain(b)),domain(b)) ).

cnf(u2590,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),domain(b)),domain(b)),domain(b)) ).

cnf(u17791,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b))) ).

cnf(u14366,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(domain(h),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u9380,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),a),compose(domain(b),a),codomain(X0),domain(b)),domain(b)) ).

cnf(u2244,hypothesis,
    codomain(X0) = ifeq(domain(b),codomain(X0),codomain(compose(a,codomain(X0))),codomain(X0)) ).

cnf(u48604,hypothesis,
    compose(compose(domain(X0),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(g,a)),compose(h,compose(a,b)))) ).

cnf(u26855,hypothesis,
    compose(compose(g,codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),codomain(X1))),compose(compose(g,codomain(X0)),codomain(X1))),compose(compose(g,codomain(X0)),codomain(X1))) ).

cnf(u2650,hypothesis,
    compose(g,compose(h,a)) = ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(h,a))),compose(g,compose(h,a))) ).

cnf(u2300,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(a,b),a),compose(X0,a),compose(a,b),X0),X0),X0) = X0 ).

cnf(u7627,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X0),b),compose(compose(h,compose(a,b)),b),codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u23073,hypothesis,
    compose(compose(domain(X0),h),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,domain(b))),compose(compose(domain(X0),h),domain(b))),compose(compose(domain(X0),h),domain(b))) ).

cnf(u4395,hypothesis,
    compose(compose(codomain(X0),a),domain(b)) = ifeq(codomain(X0),domain(a),compose(codomain(X0),a),compose(compose(codomain(X0),a),domain(b))) ).

cnf(u16883,hypothesis,
    compose(compose(compose(h,a),domain(h)),g) = ifeq(domain(b),domain(h),compose(compose(h,a),g),compose(compose(compose(h,a),domain(h)),g)) ).

cnf(u23727,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u27,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,b),X1,ifeq(compose(X0,b),X1,X0,a),a),a) ).

cnf(u2993,axiom,
    codomain(X0) = ifeq(codomain(X0),codomain(X1),domain(compose(codomain(X0),codomain(X1))),codomain(X0)) ).

cnf(u2507,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(codomain(b),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u175,hypothesis,
    g = ifeq(codomain(h),domain(b),ifeq(compose(g,a),X0,ifeq(a,X0,domain(a),g),g),g) ).

cnf(u31207,hypothesis,
    compose(compose(codomain(X0),domain(X1)),compose(h,a)) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),compose(h,a))),compose(compose(codomain(X0),domain(X1)),compose(h,a))),compose(compose(codomain(X0),domain(X1)),compose(h,a))) ).

cnf(u38535,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u12394,hypothesis,
    compose(compose(h,domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),g)),compose(compose(h,domain(X0)),g)),compose(compose(h,domain(X0)),g)) ).

cnf(u37022,hypothesis,
    compose(compose(h,compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u5235,hypothesis,
    compose(compose(h,X1),codomain(X0)) = ifeq(codomain(X1),codomain(X0),ifeq(domain(a),domain(X1),compose(h,compose(X1,codomain(X0))),compose(compose(h,X1),codomain(X0))),compose(compose(h,X1),codomain(X0))) ).

cnf(u18155,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(a,b),a),compose(g,a),compose(a,b),g),g),g) ).

cnf(u5466,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(domain(X0),b),domain(X0),compose(g,a)),compose(g,a)) ).

cnf(u3901,hypothesis,
    compose(g,compose(h,a)) = ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(h,a))),compose(g,compose(h,a))) ).

cnf(u4176,hypothesis,
    compose(compose(g,a),X0) = ifeq(domain(b),domain(X0),compose(domain(h),compose(compose(g,a),X0)),compose(compose(g,a),X0)) ).

cnf(u2285,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),a),a),a) ).

cnf(u3547,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(a,compose(g,a),g,domain(a)),domain(a)) ).

cnf(u5042,hypothesis,
    codomain(X0) = ifeq(codomain(b),codomain(X0),codomain(compose(compose(h,compose(a,b)),codomain(X0))),codomain(X0)) ).

cnf(u9493,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),compose(a,b),compose(a,b),a),a) ).

cnf(u28057,hypothesis,
    compose(codomain(X0),domain(b)) = ifeq(domain(b),codomain(compose(codomain(X0),domain(b))),ifeq(codomain(X0),domain(b),compose(codomain(X0),compose(domain(b),codomain(compose(codomain(X0),domain(b))))),compose(codomain(X0),domain(b))),compose(codomain(X0),domain(b))) ).

cnf(u10096,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),X0) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,X0)),compose(compose(compose(h,compose(a,b)),h),X0)),compose(compose(compose(h,compose(a,b)),h),X0)) ).

cnf(u156,hypothesis,
    compose(compose(a,domain(X0)),X0) = ifeq(domain(b),domain(X0),compose(a,X0),compose(compose(a,domain(X0)),X0)) ).

cnf(u7287,hypothesis,
    domain(a) = ifeq(domain(a),domain(h),codomain(compose(h,h)),domain(a)) ).

cnf(u17573,hypothesis,
    compose(compose(a,domain(X1)),codomain(X0)) = ifeq(domain(X1),codomain(X0),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),codomain(X0))),compose(compose(a,domain(X1)),codomain(X0))),compose(compose(a,domain(X1)),codomain(X0))) ).

cnf(u4606,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(h,b),h,codomain(X0)),codomain(X0)) ).

cnf(u9807,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X0,ifeq(compose(a,a),X0,a,compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u42519,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X0))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X0))) ).

cnf(u2006,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(domain(X0),b),compose(X1,b),domain(X0),X1),X1),X1) = X1 ).

cnf(u15583,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),codomain(b)) = ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),compose(a,b)),codomain(b))) ).

cnf(u16551,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),a) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),g),a)) ).

cnf(u38865,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),codomain(X0))),compose(compose(compose(g,a),compose(g,a)),codomain(X0))),compose(compose(compose(g,a),compose(g,a)),codomain(X0))) ).

cnf(u1943,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X0,a),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u10593,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),a,domain(a),domain(X0)),domain(X0)) ).

cnf(u26359,axiom,
    compose(compose(codomain(X0),domain(X1)),domain(X2)) = ifeq(domain(X1),domain(X2),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),domain(X2))),compose(compose(codomain(X0),domain(X1)),domain(X2))),compose(compose(codomain(X0),domain(X1)),domain(X2))) ).

cnf(u19809,hypothesis,
    compose(compose(compose(g,a),h),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,domain(b))),compose(compose(compose(g,a),h),domain(b))),compose(compose(compose(g,a),h),domain(b))) ).

cnf(u9679,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),g),g),g),g) ).

cnf(u5667,hypothesis,
    compose(compose(g,X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(X0),compose(g,compose(X0,compose(a,b))),compose(compose(g,X0),compose(a,b))),compose(compose(g,X0),compose(a,b))) ).

cnf(u1350,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(codomain(X0),b),X2,codomain(X0),X1),X1),X1),X1) = X1 ).

cnf(u7863,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),domain(b),compose(h,a)),compose(h,a)) ).

cnf(u6611,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u7628,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X0),b),compose(compose(h,compose(a,b)),b),domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u6558,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(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)) ).

cnf(u9507,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(h,a),a),a) ).

cnf(u6539,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(g,a),a),compose(codomain(X0),a),codomain(X0),compose(g,a)),compose(g,a)) ).

cnf(u12840,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u29860,hypothesis,
    compose(compose(codomain(X0),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(g,a))),compose(compose(codomain(X0),h),compose(g,a))),compose(compose(codomain(X0),h),compose(g,a))) ).

cnf(u4927,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(h,a)) ).

cnf(u45839,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),compose(g,a))),compose(compose(compose(a,b),codomain(X0)),compose(g,a))),compose(compose(compose(a,b),codomain(X0)),compose(g,a))) ).

cnf(u47767,hypothesis,
    compose(compose(domain(X0),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u5053,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u39,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(X0,a),X1,X0,domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u5050,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(h,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u5796,hypothesis,
    compose(compose(g,compose(g,a)),b) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(g,a)),b)) ).

cnf(u29491,hypothesis,
    compose(compose(compose(h,a),domain(X0)),codomain(X1)) = ifeq(domain(X0),codomain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),codomain(X1))),compose(compose(compose(h,a),domain(X0)),codomain(X1))),compose(compose(compose(h,a),domain(X0)),codomain(X1))) ).

cnf(u22189,hypothesis,
    compose(codomain(X0),a) = ifeq(domain(b),codomain(compose(codomain(X0),a)),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,codomain(compose(codomain(X0),a)))),compose(codomain(X0),a)),compose(codomain(X0),a)) ).

cnf(u4001,axiom,
    codomain(X1) = ifeq(codomain(X1),domain(X0),domain(compose(codomain(X1),domain(X0))),codomain(X1)) ).

cnf(u6543,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(g,a),a),compose(compose(a,b),a),compose(a,b),compose(g,a)),compose(g,a)) ).

cnf(u15441,hypothesis,
    domain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(g,a))),domain(b)) ).

cnf(u5908,hypothesis,
    compose(domain(X0),compose(a,b)) = ifeq(domain(X0),domain(a),compose(domain(X0),compose(domain(X0),compose(a,b))),compose(domain(X0),compose(a,b))) ).

cnf(u12552,hypothesis,
    domain(b) = ifeq(b,compose(domain(a),b),domain(a),domain(b)) ).

cnf(u926,hypothesis,
    compose(compose(a,h),domain(a)) = ifeq(domain(b),domain(h),compose(a,h),compose(compose(a,h),domain(a))) ).

cnf(h_ab_equals_g_ab,hypothesis,
    compose(h,compose(a,b)) = compose(g,compose(a,b)) ).

cnf(u14497,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u1942,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X0),a),compose(X1,a),codomain(X0),X1),X1),X1) = X1 ).

cnf(u9976,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(h,compose(a,b)))),domain(h)) ).

cnf(u7485,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),X0)),compose(compose(compose(a,b),compose(a,b)),X0)),compose(compose(compose(a,b),compose(a,b)),X0)) ).

cnf(u5966,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(a,b),b,a,domain(b)),domain(b)) ).

cnf(u1058,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X0,a),a,X0,domain(a)),domain(a)),domain(a)) ).

cnf(u16506,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),domain(X0))),compose(compose(a,compose(h,compose(a,b))),domain(X0))),compose(compose(a,compose(h,compose(a,b))),domain(X0))) ).

cnf(u13989,hypothesis,
    compose(compose(g,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))) ).

cnf(u1401,hypothesis,
    domain(compose(h,a)) = ifeq(domain(b),domain(X0),domain(compose(compose(h,a),X0)),domain(compose(h,a))) ).

cnf(u29899,hypothesis,
    compose(compose(domain(X0),domain(b)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),compose(h,compose(a,b)))),compose(compose(domain(X0),domain(b)),compose(h,compose(a,b)))),compose(compose(domain(X0),domain(b)),compose(h,compose(a,b)))) ).

cnf(u1901,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(compose(h,a),a),compose(h,a),X0),X0),X0) = X0 ).

cnf(u6203,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(domain(X0),b),X2,domain(X0),domain(X1)),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u7947,hypothesis,
    compose(compose(X0,codomain(X1)),compose(g,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(X0,compose(codomain(X1),compose(g,a))),compose(compose(X0,codomain(X1)),compose(g,a))),compose(compose(X0,codomain(X1)),compose(g,a))) ).

cnf(u38949,hypothesis,
    compose(compose(a,compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u11057,hypothesis,
    domain(b) = ifeq(codomain(b),domain(b),codomain(compose(compose(h,compose(a,b)),domain(b))),domain(b)) ).

cnf(u3394,axiom,
    compose(compose(domain(X1),codomain(X0)),codomain(X0)) = ifeq(domain(X1),codomain(X0),compose(domain(X1),codomain(X0)),compose(compose(domain(X1),codomain(X0)),codomain(X0))) ).

cnf(u8537,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,b),X0,h,compose(g,a)),compose(g,a)) ).

cnf(u18674,hypothesis,
    compose(compose(domain(X0),domain(X1)),g) = ifeq(domain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X1),g)),compose(compose(domain(X0),domain(X1)),g)),compose(compose(domain(X0),domain(X1)),g)) ).

cnf(u45154,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u35035,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),domain(X0))),compose(compose(compose(a,b),compose(g,a)),domain(X0))),compose(compose(compose(a,b),compose(g,a)),domain(X0))) ).

cnf(u9835,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(a,b),X0,a,compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u29122,hypothesis,
    compose(compose(g,a),compose(h,a)) = ifeq(domain(b),codomain(compose(compose(g,a),compose(h,a))),ifeq(domain(b),domain(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))) ).

cnf(u17649,hypothesis,
    compose(compose(compose(g,a),h),domain(a)) = ifeq(domain(b),domain(h),compose(compose(g,a),h),compose(compose(compose(g,a),h),domain(a))) ).

cnf(u18153,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,a),a),compose(g,a),compose(h,a),g),g),g) ).

cnf(u254,hypothesis,
    compose(h,X0) = ifeq(domain(a),domain(X0),compose(domain(h),compose(h,X0)),compose(h,X0)) ).

cnf(u18149,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X0),a),compose(g,a),domain(X0),g),g),g) ).

cnf(u16055,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),b,domain(b),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u1971,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(codomain(X0),b),codomain(X0),X1),X1),X1) = X1 ).

cnf(u15820,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(codomain(X0),b),codomain(X0),h),h),h) ).

cnf(monomorphism2,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(X0,b),X2,X0,X1),X1),X1),X1) = X1 ).

cnf(u6919,hypothesis,
    compose(compose(h,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(domain(b),codomain(X0))),compose(compose(h,a),codomain(X0))) ).

cnf(u2676,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(g,compose(h,a))),domain(h)) ).

cnf(u15851,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(compose(h,a),a),compose(h,a),h),h),h) ).

cnf(u4184,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(g,a))),domain(a)) ).

cnf(u451,hypothesis,
    compose(compose(compose(g,a),domain(b)),b) = ifeq(codomain(compose(g,a)),domain(b),compose(h,compose(a,b)),compose(compose(compose(g,a),domain(b)),b)) ).

cnf(u15848,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(codomain(X0),a),codomain(X0),h),h),h) ).

cnf(u729,hypothesis,
    compose(X0,compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),compose(X0,compose(codomain(X0),compose(h,compose(a,b)))),compose(X0,compose(h,compose(a,b)))) ).

cnf(u2187,hypothesis,
    domain(X0) = ifeq(codomain(compose(a,b)),domain(X0),codomain(compose(compose(h,compose(a,b)),domain(X0))),domain(X0)) ).

cnf(u17187,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(compose(g,a),compose(b,X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u16594,hypothesis,
    compose(compose(compose(a,b),X0),g) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,g)),compose(compose(compose(a,b),X0),g)),compose(compose(compose(a,b),X0),g)) ).

cnf(u47,hypothesis,
    compose(compose(a,X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(a,compose(X0,X1)),compose(compose(a,X0),X1)),compose(compose(a,X0),X1)) ).

cnf(u33554,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u7367,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain(X0),a),domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u17581,hypothesis,
    compose(compose(a,domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),g)),compose(compose(a,domain(X0)),g)),compose(compose(a,domain(X0)),g)) ).

cnf(u4188,hypothesis,
    domain(b) = ifeq(domain(a),domain(h),codomain(compose(g,compose(g,a))),domain(b)) ).

cnf(u16096,hypothesis,
    compose(compose(a,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u6445,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(g,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u11079,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(X0),codomain(compose(compose(h,compose(a,b)),X0)),codomain(X0)) ).

cnf(u4635,hypothesis,
    domain(b) = ifeq(b,compose(h,b),h,domain(b)) ).

cnf(u446,hypothesis,
    compose(compose(X0,compose(g,a)),b) = ifeq(codomain(compose(g,a)),domain(b),ifeq(codomain(X0),domain(compose(g,a)),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(g,a)),b)),compose(compose(X0,compose(g,a)),b)) ).

cnf(u18473,hypothesis,
    compose(compose(h,domain(b)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(h,compose(domain(b),compose(h,a))),compose(compose(h,domain(b)),compose(h,a))),compose(compose(h,domain(b)),compose(h,a))) ).

cnf(u8344,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(h,compose(compose(a,b),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u45148,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u1951,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(X0,a),compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u17691,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(codomain(X0),a),codomain(X0),g),g),g) ).

cnf(u15235,hypothesis,
    compose(compose(a,domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),compose(a,b))),compose(compose(a,domain(X0)),compose(a,b))),compose(compose(a,domain(X0)),compose(a,b))) ).

cnf(u2677,hypothesis,
    domain(b) = ifeq(domain(a),domain(h),codomain(compose(g,compose(h,a))),domain(b)) ).

cnf(u1411,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(compose(h,a),b),X0,compose(h,a),a),a),a) ).

cnf(u9836,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(a,b),X0,a,compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u15677,hypothesis,
    compose(compose(compose(a,b),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u8494,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),X0,ifeq(compose(h,a),X0,h,compose(h,a)),compose(h,a)) ).

cnf(u4173,hypothesis,
    compose(compose(X0,compose(g,a)),domain(b)) = ifeq(codomain(X0),domain(h),compose(X0,compose(g,a)),compose(compose(X0,compose(g,a)),domain(b))) ).

cnf(u3540,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(a,a),a,domain(a)),domain(a)),domain(a)) ).

cnf(u15996,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(h,b),compose(h,compose(a,b)),h),h),h) ).

cnf(u12650,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain(X0),b),compose(h,compose(a,b)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u1898,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(domain(X0),a),domain(X0),X1),X1),X1) = X1 ).

cnf(u3686,hypothesis,
    compose(X0,g) = ifeq(domain(a),codomain(compose(X0,g)),ifeq(codomain(X0),domain(h),compose(X0,compose(g,codomain(compose(X0,g)))),compose(X0,g)),compose(X0,g)) ).

cnf(u250,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(X0,a),X1,X0,h),h),h),h) ).

cnf(u29555,hypothesis,
    compose(compose(codomain(X0),h),codomain(X1)) = ifeq(domain(a),codomain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,codomain(X1))),compose(compose(codomain(X0),h),codomain(X1))),compose(compose(codomain(X0),h),codomain(X1))) ).

cnf(u2798,hypothesis,
    compose(compose(X0,domain(a)),compose(a,b)) = ifeq(codomain(X0),domain(a),compose(X0,compose(a,b)),compose(compose(X0,domain(a)),compose(a,b))) ).

cnf(u27587,hypothesis,
    compose(compose(X0,compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),compose(g,a))),compose(compose(X0,compose(g,a)),compose(g,a))),compose(compose(X0,compose(g,a)),compose(g,a))) ).

cnf(u17580,hypothesis,
    compose(compose(a,domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),compose(g,a))),compose(compose(a,domain(X0)),compose(g,a))),compose(compose(a,domain(X0)),compose(g,a))) ).

cnf(u18756,hypothesis,
    compose(compose(compose(g,a),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u11688,hypothesis,
    compose(compose(h,h),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(a),domain(h),compose(h,compose(h,domain(b))),compose(compose(h,h),domain(b))),compose(compose(h,h),domain(b))) ).

cnf(u37615,hypothesis,
    compose(compose(domain(compose(h,compose(g,a))),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(compose(h,compose(g,a))),domain(h),compose(h,compose(g,a)),compose(compose(domain(compose(h,compose(g,a))),h),compose(g,a))),compose(compose(domain(compose(h,compose(g,a))),h),compose(g,a))) ).

cnf(u412,hypothesis,
    compose(h,X0) = ifeq(domain(a),domain(X0),compose(h,compose(domain(a),X0)),compose(h,X0)) ).

cnf(u17667,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(a,b),a,g),g),g) ).

cnf(u42225,hypothesis,
    compose(compose(domain(compose(g,codomain(X0))),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(compose(g,codomain(X0))),domain(h),compose(g,codomain(X0)),compose(compose(domain(compose(g,codomain(X0))),g),codomain(X0))),compose(compose(domain(compose(g,codomain(X0))),g),codomain(X0))) ).

cnf(u16968,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(domain(a),b),domain(a),domain(X0)),domain(X0)) ).

cnf(u3838,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,compose(a,b)),a),a,compose(h,compose(a,b)),domain(a)),domain(a)),domain(a)) ).

cnf(u4923,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(g,b),g,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u20042,hypothesis,
    compose(compose(g,h),g) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(h,g)),compose(compose(g,h),g)),compose(compose(g,h),g)) ).

cnf(u6370,hypothesis,
    compose(compose(codomain(X0),X1),compose(a,b)) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,compose(a,b))),compose(compose(codomain(X0),X1),compose(a,b))),compose(compose(codomain(X0),X1),compose(a,b))) ).

cnf(u38863,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),domain(X0))),compose(compose(compose(g,a),compose(g,a)),domain(X0))),compose(compose(compose(g,a),compose(g,a)),domain(X0))) ).

cnf(u17445,hypothesis,
    compose(h,domain(X0)) = ifeq(domain(X0),codomain(compose(h,domain(X0))),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),codomain(compose(h,domain(X0))))),compose(h,domain(X0))),compose(h,domain(X0))) ).

cnf(u1452,hypothesis,
    compose(a,b) = compose(compose(a,b),codomain(b)) ).

cnf(u1320,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(a,b)),compose(h,compose(a,b))) ).

cnf(u26881,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(g,compose(h,compose(a,b))),codomain(X0))),compose(compose(g,compose(h,compose(a,b))),codomain(X0))) ).

cnf(u2955,hypothesis,
    domain(compose(g,a)) = ifeq(domain(b),codomain(X0),domain(compose(compose(g,a),codomain(X0))),domain(compose(g,a))) ).

cnf(u10337,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(domain(a),b),X0,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1153,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),X0),X0),X0),X0) = X0 ).

cnf(u19432,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(a,b),a,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u7407,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u310,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(X0),domain(g),codomain(compose(X0,compose(h,compose(a,b)))),codomain(compose(a,b))) ).

cnf(u39022,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u24075,hypothesis,
    compose(compose(g,domain(X1)),codomain(X0)) = ifeq(domain(X1),codomain(X0),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),codomain(X0))),compose(compose(g,domain(X1)),codomain(X0))),compose(compose(g,domain(X1)),codomain(X0))) ).

cnf(u714,hypothesis,
    compose(X0,g) = ifeq(codomain(X0),domain(h),compose(X0,compose(codomain(X0),g)),compose(X0,g)) ).

cnf(u13,axiom,
    compose(compose(X2,X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(X2),domain(X0),compose(X2,compose(X0,X1)),compose(compose(X2,X0),X1)),compose(compose(X2,X0),X1)) ).

cnf(u1403,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(compose(h,a)),codomain(compose(X0,compose(h,a))),domain(b)) ).

cnf(u7572,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u5433,hypothesis,
    compose(compose(h,domain(h)),g) = ifeq(domain(a),domain(h),compose(h,g),compose(compose(h,domain(h)),g)) ).

cnf(u7735,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(h,b),X1,h,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u15687,hypothesis,
    compose(compose(compose(a,b),h),a) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),h),a)) ).

cnf(u5081,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),b),compose(h,compose(a,b)),domain(X0),compose(g,a)),compose(g,a)) ).

cnf(u38213,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),domain(X0))),compose(compose(compose(h,a),compose(g,a)),domain(X0))),compose(compose(compose(h,a),compose(g,a)),domain(X0))) ).

cnf(u1053,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(a,a),X0,a,domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u939,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),codomain(compose(a,b))) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,compose(a,b))),codomain(compose(a,b)))) ).

cnf(u10143,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),a),a) ).

cnf(u1416,hypothesis,
    compose(compose(h,a),X0) = ifeq(domain(b),domain(X0),compose(domain(compose(h,a)),compose(compose(h,a),X0)),compose(compose(h,a),X0)) ).

cnf(u4963,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(g,a),g,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u134,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X2,ifeq(compose(X1,b),X2,X1,domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u11095,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,X0)),compose(compose(compose(h,compose(a,b)),a),X0)),compose(compose(compose(h,compose(a,b)),a),X0)) ).

cnf(u1979,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(X1,b),X1,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u6418,hypothesis,
    compose(compose(X0,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),compose(a,b))),compose(compose(X0,compose(a,b)),compose(a,b))),compose(compose(X0,compose(a,b)),compose(a,b))) ).

cnf(u31779,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),g)),compose(compose(domain(X0),compose(h,compose(a,b))),g)),compose(compose(domain(X0),compose(h,compose(a,b))),g)) ).

cnf(u6415,hypothesis,
    compose(compose(X0,compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),compose(a,b))),compose(compose(X0,compose(h,a)),compose(a,b))),compose(compose(X0,compose(h,a)),compose(a,b))) ).

cnf(u13515,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u6008,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,compose(a,b),a,domain(b)),domain(b)) ).

cnf(u3472,hypothesis,
    codomain(b) = ifeq(domain(a),domain(h),codomain(compose(g,compose(h,compose(a,b)))),codomain(b)) ).

cnf(u8563,hypothesis,
    compose(compose(domain(compose(h,X0)),h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(compose(h,X0)),domain(h),compose(h,X0),compose(compose(domain(compose(h,X0)),h),X0)),compose(compose(domain(compose(h,X0)),h),X0)) ).

cnf(u35041,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u16980,hypothesis,
    compose(compose(codomain(X0),a),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,g)),compose(compose(codomain(X0),a),g)),compose(compose(codomain(X0),a),g)) ).

cnf(u22043,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(b)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(b))) ).

cnf(u247,hypothesis,
    compose(compose(X0,h),X1) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(h,X1)),compose(compose(X0,h),X1)),compose(compose(X0,h),X1)) ).

cnf(u17660,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(domain(X0),b),domain(X0),g),g),g) ).

cnf(u39931,hypothesis,
    compose(compose(domain(compose(h,compose(h,a))),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(compose(h,compose(h,a))),domain(h),compose(h,compose(h,a)),compose(compose(domain(compose(h,compose(h,a))),h),compose(h,a))),compose(compose(domain(compose(h,compose(h,a))),h),compose(h,a))) ).

cnf(u1992,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),b,domain(b),X0),X0),X0) = X0 ).

cnf(u9082,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(h,compose(h,a))),domain(h)) ).

cnf(u24488,hypothesis,
    compose(compose(h,g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(a),domain(h),compose(h,compose(g,codomain(X0))),compose(compose(h,g),codomain(X0))),compose(compose(h,g),codomain(X0))) ).

cnf(u1145,hypothesis,
    domain(b) = ifeq(domain(a),domain(compose(g,a)),codomain(compose(g,compose(g,a))),domain(b)) ).

cnf(u7518,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),X1) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),X1)),compose(compose(codomain(X0),compose(a,b)),X1)),compose(compose(codomain(X0),compose(a,b)),X1)) ).

cnf(u1929,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(compose(a,b)),domain(b),compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1645,hypothesis,
    domain(a) = ifeq(codomain(compose(a,b)),domain(a),domain(compose(compose(a,b),compose(a,b))),domain(a)) ).

cnf(u6971,hypothesis,
    compose(codomain(X0),domain(a)) = ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(codomain(X0),domain(a))),compose(codomain(X0),domain(a))) ).

cnf(u24358,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),b) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(g,a)),b)) ).

cnf(u852,hypothesis,
    compose(compose(a,a),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(a,compose(a,X0)),compose(compose(a,a),X0)),compose(compose(a,a),X0)) ).

cnf(u15680,hypothesis,
    compose(compose(compose(a,b),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u7946,hypothesis,
    compose(compose(X0,codomain(X1)),g) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(X0,compose(codomain(X1),g)),compose(compose(X0,codomain(X1)),g)),compose(compose(X0,codomain(X1)),g)) ).

cnf(u5032,hypothesis,
    codomain(X0) = ifeq(domain(b),codomain(X0),codomain(compose(compose(g,a),codomain(X0))),codomain(X0)) ).

cnf(u9,axiom,
    domain(X0) = ifeq(codomain(X0),domain(X1),domain(compose(X0,X1)),domain(X0)) ).

cnf(u675,hypothesis,
    a = ifeq(compose(a,a),X0,ifeq(compose(h,a),X0,h,a),a) ).

cnf(u11427,hypothesis,
    compose(compose(X0,g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(g,compose(h,a))),compose(compose(X0,g),compose(h,a))),compose(compose(X0,g),compose(h,a))) ).

cnf(u2199,hypothesis,
    compose(compose(h,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(h,compose(a,domain(X0))),compose(compose(h,a),domain(X0))) ).

cnf(u8334,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,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))) ).

cnf(u27745,hypothesis,
    compose(compose(h,compose(a,b)),h) = ifeq(domain(a),codomain(compose(compose(h,compose(a,b)),h)),ifeq(codomain(b),domain(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)) ).

cnf(u4181,hypothesis,
    domain(h) = ifeq(domain(b),domain(X0),domain(compose(compose(g,a),X0)),domain(h)) ).

cnf(u7521,hypothesis,
    compose(compose(X0,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),compose(g,a))),compose(compose(X0,compose(a,b)),compose(g,a))),compose(compose(X0,compose(a,b)),compose(g,a))) ).

cnf(u3042,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),domain(compose(a,compose(h,a))),domain(a)) ).

cnf(u23745,hypothesis,
    compose(compose(domain(compose(compose(a,b),g)),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(a,b),g)),domain(a),compose(compose(a,b),g),compose(compose(domain(compose(compose(a,b),g)),compose(a,b)),g)),compose(compose(domain(compose(compose(a,b),g)),compose(a,b)),g)) ).

cnf(u4824,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,b),g,h),h) ).

cnf(u4158,hypothesis,
    compose(compose(g,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(g,compose(a,compose(g,a))),compose(compose(g,a),compose(g,a))) ).

cnf(u4009,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(h),domain(compose(codomain(X0),compose(h,a))),codomain(X0)) ).

cnf(u126,axiom,
    domain(X0) = compose(domain(X0),domain(X0)) ).

cnf(u9374,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),X0,ifeq(compose(g,a),X0,g,domain(b)),domain(b)) ).

cnf(u130,axiom,
    compose(compose(domain(X0),X1),X2) = ifeq(codomain(X1),domain(X2),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,X2)),compose(compose(domain(X0),X1),X2)),compose(compose(domain(X0),X1),X2)) ).

cnf(u9583,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(g,b),X0,g,g),g),g) ).

cnf(u6204,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(codomain(X0),b),X2,codomain(X0),domain(X1)),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u4440,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(h,b),compose(compose(h,compose(a,b)),b),h,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u770,hypothesis,
    domain(b) = ifeq(codomain(compose(g,a)),domain(a),ifeq(b,X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),domain(b)),domain(b)),domain(b)) ).

cnf(u28492,hypothesis,
    compose(compose(compose(h,a),X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,compose(g,a))),compose(compose(compose(h,a),X0),compose(g,a))),compose(compose(compose(h,a),X0),compose(g,a))) ).

cnf(u9516,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),b),compose(a,b),compose(h,compose(a,b)),a),a) ).

cnf(u3530,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(b,X0,domain(b),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u6830,axiom,
    compose(compose(X1,domain(X0)),codomain(X2)) = ifeq(domain(X0),codomain(X2),ifeq(codomain(X1),domain(X0),compose(X1,compose(domain(X0),codomain(X2))),compose(compose(X1,domain(X0)),codomain(X2))),compose(compose(X1,domain(X0)),codomain(X2))) ).

cnf(u27987,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),domain(b))),compose(compose(codomain(X0),compose(a,b)),domain(b))),compose(compose(codomain(X0),compose(a,b)),domain(b))) ).

cnf(u4497,hypothesis,
    compose(h,a) = ifeq(compose(h,a),compose(compose(h,a),a),h,compose(h,a)) ).

cnf(u16593,hypothesis,
    compose(compose(compose(g,a),X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,g)),compose(compose(compose(g,a),X0),g)),compose(compose(compose(g,a),X0),g)) ).

cnf(u19845,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(compose(a,b),a),compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u243,hypothesis,
    h = compose(h,domain(a)) ).

cnf(u5961,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),b),b,codomain(X0),domain(b)),domain(b)) ).

cnf(u1232,hypothesis,
    domain(b) = ifeq(domain(X0),domain(compose(g,a)),codomain(compose(domain(X0),compose(g,a))),domain(b)) ).

cnf(u5323,hypothesis,
    compose(compose(h,compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),X0)),compose(compose(h,compose(g,a)),X0)),compose(compose(h,compose(g,a)),X0)) ).

cnf(u2210,hypothesis,
    compose(h,compose(a,b)) = compose(compose(h,a),b) ).

cnf(u22129,hypothesis,
    compose(compose(g,compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),g)),compose(compose(g,compose(g,a)),g)),compose(compose(g,compose(g,a)),g)) ).

cnf(u29033,hypothesis,
    compose(compose(domain(compose(codomain(X0),compose(a,b))),codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(compose(codomain(X0),compose(a,b))),codomain(X0),compose(codomain(X0),compose(a,b)),compose(compose(domain(compose(codomain(X0),compose(a,b))),codomain(X0)),compose(a,b))),compose(compose(domain(compose(codomain(X0),compose(a,b))),codomain(X0)),compose(a,b))) ).

cnf(u11320,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),X0)),compose(compose(a,compose(h,compose(a,b))),X0)),compose(compose(a,compose(h,compose(a,b))),X0)) ).

cnf(u20029,hypothesis,
    a = ifeq(compose(domain(a),b),compose(a,b),domain(a),a) ).

cnf(u22389,hypothesis,
    compose(compose(g,domain(b)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(g,compose(domain(b),compose(g,a))),compose(compose(g,domain(b)),compose(g,a))),compose(compose(g,domain(b)),compose(g,a))) ).

cnf(u318,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(h),domain(compose(X0,g)),domain(X0)) ).

cnf(u848,axiom,
    domain(X0) = ifeq(codomain(X1),domain(X0),codomain(compose(X1,domain(X0))),domain(X0)) ).

cnf(u1514,hypothesis,
    compose(compose(codomain(X0),a),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,X1)),compose(compose(codomain(X0),a),X1)),compose(compose(codomain(X0),a),X1)) ).

cnf(u8013,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(a,b),compose(h,a)),compose(h,a)) ).

cnf(u224,axiom,
    codomain(X0) = ifeq(codomain(X0),domain(X1),domain(compose(codomain(X0),X1)),codomain(X0)) ).

cnf(u2014,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(X1,b),compose(domain(X0),b),X1,domain(X0)),domain(X0)),domain(X0)) ).

cnf(prove_h_equals_g,negated_conjecture,
    h != g ).

cnf(u9337,hypothesis,
    domain(h) = ifeq(codomain(b),domain(X0),domain(compose(compose(h,compose(a,b)),X0)),domain(h)) ).

cnf(u2681,hypothesis,
    compose(compose(a,b),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(domain(a),compose(compose(a,b),codomain(X0))),compose(compose(a,b),codomain(X0))) ).

cnf(u10121,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(a,a),compose(domain(X0),a),domain(X0),a),a) ).

cnf(u5435,hypothesis,
    compose(compose(h,domain(h)),compose(h,a)) = ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,domain(h)),compose(h,a))) ).

cnf(u18799,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X0)) = ifeq(domain(X1),codomain(X0),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),codomain(X0))),compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X0))),compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X0))) ).

cnf(u7408,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),b,domain(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u17849,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(a,b),b),compose(g,b),compose(a,b),g),g),g) ).

cnf(u4162,hypothesis,
    domain(h) = ifeq(domain(b),codomain(X0),domain(compose(compose(g,a),codomain(X0))),domain(h)) ).

cnf(u2271,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(g,compose(compose(a,b),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u15297,hypothesis,
    compose(compose(h,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))) ).

cnf(u25470,hypothesis,
    compose(compose(compose(a,b),domain(h)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),domain(h)),compose(g,a))) ).

cnf(u1973,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(compose(h,a),b),compose(h,a),X0),X0),X0) = X0 ).

cnf(u9359,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),domain(b)),domain(b)),domain(b)) ).

cnf(u3235,hypothesis,
    compose(compose(domain(X0),X1),g) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,g)),compose(compose(domain(X0),X1),g)),compose(compose(domain(X0),X1),g)) ).

cnf(u29274,hypothesis,
    compose(compose(g,compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),domain(X0))),compose(compose(g,compose(g,a)),domain(X0))),compose(compose(g,compose(g,a)),domain(X0))) ).

cnf(u23708,hypothesis,
    compose(compose(compose(h,a),a),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,g)),compose(compose(compose(h,a),a),g)),compose(compose(compose(h,a),a),g)) ).

cnf(u2670,hypothesis,
    compose(compose(X0,compose(h,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),X1)),compose(compose(X0,compose(h,a)),X1)),compose(compose(X0,compose(h,a)),X1)) ).

cnf(u26680,hypothesis,
    compose(domain(X0),compose(g,a)) = ifeq(domain(b),codomain(compose(domain(X0),compose(g,a))),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),codomain(compose(domain(X0),compose(g,a))))),compose(domain(X0),compose(g,a))),compose(domain(X0),compose(g,a))) ).

cnf(u3163,hypothesis,
    compose(X0,compose(a,b)) = ifeq(codomain(X0),domain(a),compose(domain(X0),compose(X0,compose(a,b))),compose(X0,compose(a,b))) ).

cnf(u4146,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(h),domain(compose(codomain(X0),compose(g,a))),codomain(X0)) ).

cnf(u27281,hypothesis,
    compose(compose(g,codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(g,codomain(X0)),compose(h,compose(a,b)))),compose(compose(g,codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u12607,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(g,a),a),compose(domain(X0),a),compose(g,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u4166,hypothesis,
    compose(compose(g,domain(h)),compose(g,a)) = ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,domain(h)),compose(g,a))) ).

cnf(u15749,hypothesis,
    compose(compose(domain(compose(a,codomain(X0))),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(compose(a,codomain(X0))),domain(a),compose(a,codomain(X0)),compose(compose(domain(compose(a,codomain(X0))),a),codomain(X0))),compose(compose(domain(compose(a,codomain(X0))),a),codomain(X0))) ).

cnf(u100,axiom,
    compose(compose(X1,X2),codomain(X0)) = ifeq(codomain(X2),codomain(X0),ifeq(codomain(X1),domain(X2),compose(X1,compose(X2,codomain(X0))),compose(compose(X1,X2),codomain(X0))),compose(compose(X1,X2),codomain(X0))) ).

cnf(u22232,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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)) ).

cnf(u8318,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u12602,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X0),a),compose(domain(X1),a),domain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u7522,hypothesis,
    compose(compose(X0,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),compose(h,a))),compose(compose(X0,compose(a,b)),compose(h,a))),compose(compose(X0,compose(a,b)),compose(h,a))) ).

cnf(u6242,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(h,b),X1,h,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u28142,hypothesis,
    compose(compose(h,g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u10552,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),domain(b)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,a)),compose(compose(codomain(X0),compose(g,a)),domain(b))) ).

cnf(u24335,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),X0)),compose(compose(compose(g,a),compose(h,compose(a,b))),X0)),compose(compose(compose(g,a),compose(h,compose(a,b))),X0)) ).

cnf(u27351,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u23271,hypothesis,
    compose(compose(compose(a,b),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u19491,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u4139,hypothesis,
    compose(compose(a,domain(h)),compose(g,a)) = ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,domain(h)),compose(g,a))) ).

cnf(u1147,hypothesis,
    compose(compose(compose(g,a),domain(X0)),X0) = ifeq(domain(b),domain(X0),compose(compose(g,a),X0),compose(compose(compose(g,a),domain(X0)),X0)) ).

cnf(u1937,hypothesis,
    a = ifeq(domain(b),domain(a),a,a) ).

cnf(u9573,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(a,b),X0,a,g),g),g),g) ).

cnf(u860,hypothesis,
    compose(compose(a,X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(X0,g)),compose(compose(a,X0),g)),compose(compose(a,X0),g)) ).

cnf(u35252,hypothesis,
    compose(compose(h,compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u236,hypothesis,
    domain(g) = domain(compose(h,compose(a,b))) ).

cnf(codomain_of_h_equals_domain_of_ab,hypothesis,
    codomain(h) = domain(compose(a,b)) ).

cnf(u16792,hypothesis,
    compose(compose(a,h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(h,compose(g,a))),compose(compose(a,h),compose(g,a))),compose(compose(a,h),compose(g,a))) ).

cnf(u7955,hypothesis,
    compose(compose(X0,codomain(X1)),domain(b)) = ifeq(codomain(X1),domain(b),ifeq(codomain(X0),codomain(X1),compose(X0,compose(codomain(X1),domain(b))),compose(compose(X0,codomain(X1)),domain(b))),compose(compose(X0,codomain(X1)),domain(b))) ).

cnf(u929,hypothesis,
    compose(compose(a,domain(X0)),domain(X0)) = ifeq(domain(b),domain(X0),compose(a,domain(X0)),compose(compose(a,domain(X0)),domain(X0))) ).

cnf(u3507,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(b,X1,domain(b),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u25051,hypothesis,
    compose(compose(compose(h,a),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u1672,hypothesis,
    domain(h) = ifeq(codomain(compose(a,b)),domain(a),domain(compose(compose(h,compose(a,b)),compose(a,b))),domain(h)) ).

cnf(u1900,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u32689,hypothesis,
    compose(compose(h,compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u25970,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),domain(X1)) = ifeq(codomain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(domain(X0),compose(h,compose(a,b))),domain(X1))),compose(compose(domain(X0),compose(h,compose(a,b))),domain(X1))) ).

cnf(u49039,hypothesis,
    compose(compose(domain(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(g,a),compose(h,compose(a,b)))),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(domain(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b)))) ).

cnf(u5456,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),codomain(b)) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,compose(a,b))),codomain(b))) ).

cnf(u39057,hypothesis,
    compose(compose(domain(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(compose(h,compose(h,compose(a,b)))),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(domain(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b)))),compose(compose(domain(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b)))) ).

cnf(u26470,hypothesis,
    compose(compose(compose(g,a),domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),compose(g,a))),compose(compose(compose(g,a),domain(X0)),compose(g,a))),compose(compose(compose(g,a),domain(X0)),compose(g,a))) ).

cnf(u35038,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u35451,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u17529,hypothesis,
    compose(compose(domain(X0),h),compose(a,b)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),h),compose(a,b))) ).

cnf(domain_composition,axiom,
    compose(domain(X0),X0) = X0 ).

cnf(u664,hypothesis,
    a = ifeq(compose(a,b),X0,ifeq(compose(g,b),X0,g,a),a) ).

cnf(u41544,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u1430,hypothesis,
    compose(compose(compose(h,a),g),compose(a,b)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),g),compose(a,b))) ).

cnf(u349,hypothesis,
    compose(compose(X0,a),domain(b)) = ifeq(codomain(X0),domain(a),compose(X0,a),compose(compose(X0,a),domain(b))) ).

cnf(u40988,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),codomain(X0))),compose(compose(compose(g,a),compose(h,a)),codomain(X0))),compose(compose(compose(g,a),compose(h,a)),codomain(X0))) ).

cnf(u14882,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(codomain(X0),a),X2,codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u34324,hypothesis,
    compose(compose(domain(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(a,b),compose(h,a))),domain(a),compose(compose(a,b),compose(h,a)),compose(compose(domain(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a))),compose(compose(domain(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a))) ).

cnf(u1970,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(domain(X0),b),domain(X0),X1),X1),X1) = X1 ).

cnf(u5048,hypothesis,
    compose(compose(h,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),compose(compose(h,a),compose(b,domain(b))),compose(compose(h,compose(a,b)),domain(b))) ).

cnf(u30946,hypothesis,
    compose(compose(domain(X0),domain(X1)),compose(h,compose(a,b))) = ifeq(domain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(domain(X0),domain(X1)),compose(h,compose(a,b)))),compose(compose(domain(X0),domain(X1)),compose(h,compose(a,b)))) ).

cnf(u7948,hypothesis,
    compose(compose(X0,codomain(X1)),compose(h,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(X0,compose(codomain(X1),compose(h,a))),compose(compose(X0,codomain(X1)),compose(h,a))),compose(compose(X0,codomain(X1)),compose(h,a))) ).

cnf(u7562,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X0,a),compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u2957,hypothesis,
    domain(a) = ifeq(domain(b),codomain(X0),domain(compose(a,codomain(X0))),domain(a)) ).

cnf(u7659,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(g,a),a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u11860,hypothesis,
    compose(compose(domain(X1),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,domain(X0))),compose(compose(domain(X1),a),domain(X0))),compose(compose(domain(X1),a),domain(X0))) ).

cnf(u1240,axiom,
    domain(X0) = ifeq(domain(X1),domain(X0),codomain(compose(domain(X1),domain(X0))),domain(X0)) ).

cnf(u33630,hypothesis,
    compose(compose(compose(a,b),domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),compose(g,a))),compose(compose(compose(a,b),domain(X0)),compose(g,a))),compose(compose(compose(a,b),domain(X0)),compose(g,a))) ).

cnf(u7606,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u4268,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(h),codomain(compose(codomain(X0),compose(g,a))),domain(b)) ).

cnf(u27275,hypothesis,
    compose(compose(g,codomain(X1)),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),domain(X0))),compose(compose(g,codomain(X1)),domain(X0))),compose(compose(g,codomain(X1)),domain(X0))) ).

cnf(u19451,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u2644,hypothesis,
    compose(compose(a,domain(h)),compose(h,a)) = ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,domain(h)),compose(h,a))) ).

cnf(u4961,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),compose(g,a),g,compose(g,a)) ).

cnf(u16590,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),g) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,g)),compose(compose(compose(h,compose(a,b)),X0),g)),compose(compose(compose(h,compose(a,b)),X0),g)) ).

cnf(u43163,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u9762,hypothesis,
    compose(h,compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))) ).

cnf(u6585,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u11802,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(a,compose(h,a),domain(a),h),h) ).

cnf(u9488,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),b),compose(a,b),domain(X0),a),a) ).

cnf(u42544,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X0))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X0))) ).

cnf(u1138,hypothesis,
    compose(compose(X0,compose(g,a)),domain(b)) = ifeq(codomain(X0),domain(compose(g,a)),compose(X0,compose(g,a)),compose(compose(X0,compose(g,a)),domain(b))) ).

cnf(u27136,hypothesis,
    compose(compose(domain(X0),compose(a,b)),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),codomain(X1))),compose(compose(domain(X0),compose(a,b)),codomain(X1))),compose(compose(domain(X0),compose(a,b)),codomain(X1))) ).

cnf(u3320,hypothesis,
    compose(compose(domain(X0),compose(h,a)),X1) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),X1)),compose(compose(domain(X0),compose(h,a)),X1)),compose(compose(domain(X0),compose(h,a)),X1)) ).

cnf(u10070,hypothesis,
    compose(compose(compose(g,a),h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,X0)),compose(compose(compose(g,a),h),X0)),compose(compose(compose(g,a),h),X0)) ).

cnf(u1353,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,b),X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),a),a),a) ).

cnf(u4844,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(g,b),compose(compose(h,compose(a,b)),b),g,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u41542,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u27766,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(domain(b),codomain(compose(compose(h,compose(a,b)),compose(g,a))),ifeq(codomain(b),domain(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))) ).

cnf(u28400,hypothesis,
    compose(compose(h,a),h) = ifeq(domain(a),codomain(compose(compose(h,a),h)),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,codomain(compose(compose(h,a),h)))),compose(compose(h,a),h)),compose(compose(h,a),h)) ).

cnf(u2184,hypothesis,
    domain(X0) = ifeq(domain(b),domain(X0),codomain(compose(a,domain(X0))),domain(X0)) ).

cnf(u10598,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),a,domain(a),compose(a,b)),compose(a,b)) ).

cnf(u10373,hypothesis,
    compose(compose(codomain(X0),X1),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,compose(h,compose(a,b)))),compose(compose(codomain(X0),X1),compose(h,compose(a,b)))),compose(compose(codomain(X0),X1),compose(h,compose(a,b)))) ).

cnf(u2591,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),a),a),a) ).

cnf(u10029,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,b),compose(compose(a,b),b),compose(a,b),a),a) ).

cnf(u7195,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(compose(g,a),codomain(X0)),compose(compose(compose(g,a),codomain(X0)),codomain(X0))) ).

cnf(u478,hypothesis,
    compose(compose(g,g),compose(a,b)) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,g),compose(a,b))) ).

cnf(u38143,hypothesis,
    compose(compose(compose(h,a),g),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,domain(b))),compose(compose(compose(h,a),g),domain(b))),compose(compose(compose(h,a),g),domain(b))) ).

cnf(u10573,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),codomain(b)) = ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,b)),compose(compose(codomain(X0),compose(a,b)),codomain(b))) ).

cnf(u21956,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),X0)),compose(compose(compose(h,compose(a,b)),compose(g,a)),X0)),compose(compose(compose(h,compose(a,b)),compose(g,a)),X0)) ).

cnf(u3433,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),codomain(b)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),compose(h,compose(a,b))),codomain(b))) ).

cnf(u3824,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X0),a),a,codomain(X0),domain(a)),domain(a)),domain(a)) ).

cnf(u1104,hypothesis,
    codomain(X0) = ifeq(domain(a),codomain(X0),codomain(compose(g,codomain(X0))),codomain(X0)) ).

cnf(u2799,hypothesis,
    compose(compose(domain(X0),domain(a)),compose(a,b)) = ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,b)),compose(compose(domain(X0),domain(a)),compose(a,b))) ).

cnf(u15826,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(a,b),a,h),h),h) ).

cnf(u2628,hypothesis,
    compose(compose(a,X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(X0,compose(h,a))),compose(compose(a,X0),compose(h,a))),compose(compose(a,X0),compose(h,a))) ).

cnf(u5557,hypothesis,
    compose(compose(g,h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(h,X0)),compose(compose(g,h),X0)),compose(compose(g,h),X0)) ).

cnf(u33131,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),domain(b)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),compose(h,a)),domain(b))) ).

cnf(u48638,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b)))) ).

cnf(u677,hypothesis,
    a = ifeq(compose(a,a),X0,ifeq(compose(g,a),X0,g,a),a) ).

cnf(u2684,hypothesis,
    compose(compose(a,b),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))) ).

cnf(u9865,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(g,b),X0,g,compose(h,a)),compose(h,a)) ).

cnf(u9581,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),g),g),g),g) ).

cnf(u96,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X0,b),compose(X1,b),X0,X1),X1),X1) = X1 ).

cnf(u6582,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(codomain(X0),a),X2,codomain(X0),domain(X1)),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u244,hypothesis,
    domain(h) = ifeq(domain(a),domain(X0),domain(compose(h,X0)),domain(h)) ).

cnf(u2286,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),a),a),a) ).

cnf(u4418,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(h,b),compose(compose(a,b),b),h,compose(a,b)),compose(a,b)) ).

cnf(u447,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(compose(g,a)),domain(b),compose(compose(g,a),compose(b,X0)),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u6088,hypothesis,
    domain(h) = ifeq(domain(b),domain(X0),domain(compose(compose(g,a),domain(X0))),domain(h)) ).

cnf(u28844,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,codomain(X0))),compose(compose(compose(h,compose(a,b)),h),codomain(X0))),compose(compose(compose(h,compose(a,b)),h),codomain(X0))) ).

cnf(u20094,hypothesis,
    compose(compose(g,a),compose(a,b)) = ifeq(codomain(b),codomain(compose(compose(g,a),compose(a,b))),ifeq(domain(b),domain(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))) ).

cnf(u15726,hypothesis,
    compose(compose(compose(h,a),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,codomain(X0))),compose(compose(compose(h,a),a),codomain(X0))),compose(compose(compose(h,a),a),codomain(X0))) ).

cnf(u3326,axiom,
    compose(compose(domain(X1),codomain(X0)),X2) = ifeq(codomain(X0),domain(X2),ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(codomain(X0),X2)),compose(compose(domain(X1),codomain(X0)),X2)),compose(compose(domain(X1),codomain(X0)),X2)) ).

cnf(u715,axiom,
    compose(X1,codomain(X0)) = ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X1),codomain(X0))),compose(X1,codomain(X0))) ).

cnf(u2031,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X0,b),compose(g,b),X0,g),g),g) ).

cnf(u28925,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X0))) ).

cnf(u16884,hypothesis,
    compose(compose(compose(g,a),domain(h)),g) = ifeq(domain(b),domain(h),compose(compose(g,a),g),compose(compose(compose(g,a),domain(h)),g)) ).

cnf(u16104,hypothesis,
    compose(compose(a,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),domain(X0))),compose(compose(a,compose(a,b)),domain(X0))),compose(compose(a,compose(a,b)),domain(X0))) ).

cnf(u9417,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),compose(g,a),g,domain(b)) ).

cnf(u21907,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,compose(h,a))),compose(compose(compose(h,compose(a,b)),X0),compose(h,a))),compose(compose(compose(h,compose(a,b)),X0),compose(h,a))) ).

cnf(u672,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(X0,a),compose(a,a),X0,a),a) ).

cnf(u8574,hypothesis,
    compose(compose(domain(compose(X0,compose(h,a))),X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(X0,compose(h,a))),domain(X0),compose(X0,compose(h,a)),compose(compose(domain(compose(X0,compose(h,a))),X0),compose(h,a))),compose(compose(domain(compose(X0,compose(h,a))),X0),compose(h,a))) ).

cnf(u3953,hypothesis,
    compose(compose(h,domain(X0)),domain(X0)) = ifeq(domain(a),domain(X0),compose(h,domain(X0)),compose(compose(h,domain(X0)),domain(X0))) ).

cnf(u36663,hypothesis,
    compose(compose(compose(g,a),g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,domain(X0))),compose(compose(compose(g,a),g),domain(X0))),compose(compose(compose(g,a),g),domain(X0))) ).

cnf(u1135,hypothesis,
    compose(compose(g,a),X0) = ifeq(domain(b),domain(X0),compose(domain(compose(g,a)),compose(compose(g,a),X0)),compose(compose(g,a),X0)) ).

cnf(u40364,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),compose(g,a))),compose(compose(codomain(X0),compose(g,a)),compose(g,a))),compose(compose(codomain(X0),compose(g,a)),compose(g,a))) ).

cnf(u40045,hypothesis,
    compose(compose(domain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(X0),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(domain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(X0)),compose(h,compose(a,b)))),compose(compose(domain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u2876,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(compose(h,a),g)),domain(a)) ).

cnf(u9545,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),a),compose(a,a),compose(h,compose(a,b)),a),a) ).

cnf(u1269,hypothesis,
    compose(h,g) = ifeq(domain(a),domain(h),compose(h,compose(domain(a),g)),compose(h,g)) ).

cnf(u14847,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u23511,hypothesis,
    compose(compose(g,domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),domain(b))),compose(compose(g,domain(X0)),domain(b))),compose(compose(g,domain(X0)),domain(b))) ).

cnf(u1978,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(X1,b),X1,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u3548,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(a,compose(h,a),h,domain(a)),domain(a)) ).

cnf(u5047,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(h,a),compose(b,domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u202,axiom,
    compose(domain(X0),X1) = ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X0),X1)),compose(domain(X0),X1)) ).

cnf(u1318,hypothesis,
    compose(compose(h,domain(compose(domain(a),compose(a,b)))),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(a,b)),compose(compose(h,domain(compose(domain(a),compose(a,b)))),compose(domain(a),compose(a,b)))) ).

cnf(u9227,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(g,b),X1,g,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u127,axiom,
    codomain(X1) = ifeq(domain(X0),domain(X1),codomain(compose(domain(X0),X1)),codomain(X1)) ).

cnf(u10376,hypothesis,
    compose(compose(codomain(X0),X1),compose(g,a)) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,compose(g,a))),compose(compose(codomain(X0),X1),compose(g,a))),compose(compose(codomain(X0),X1),compose(g,a))) ).

cnf(u8084,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(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)) ).

cnf(u51126,hypothesis,
    compose(compose(domain(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(h,a),compose(h,compose(a,b)))),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(domain(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b)))) ).

cnf(u10086,hypothesis,
    compose(compose(X0,h),a) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,a)),compose(compose(X0,h),a)) ).

cnf(u3571,hypothesis,
    compose(compose(h,g),domain(a)) = ifeq(domain(a),domain(h),compose(h,g),compose(compose(h,g),domain(a))) ).

cnf(u842,axiom,
    domain(X1) = ifeq(domain(X1),domain(X0),domain(compose(domain(X1),domain(X0))),domain(X1)) ).

cnf(u4841,hypothesis,
    a = ifeq(compose(g,b),compose(a,b),g,a) ).

cnf(u3611,hypothesis,
    compose(g,X0) = ifeq(codomain(X0),codomain(compose(g,X0)),ifeq(domain(a),domain(X0),compose(g,compose(X0,codomain(compose(g,X0)))),compose(g,X0)),compose(g,X0)) ).

cnf(u15681,hypothesis,
    compose(compose(compose(a,b),h),g) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,g)),compose(compose(compose(a,b),h),g)),compose(compose(compose(a,b),h),g)) ).

cnf(u2241,hypothesis,
    codomain(compose(a,b)) = codomain(b) ).

cnf(u13464,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(compose(g,a),a),compose(g,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u7196,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(a,b),codomain(X0)),compose(compose(compose(a,b),codomain(X0)),codomain(X0))) ).

cnf(u29059,hypothesis,
    compose(compose(compose(h,a),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u8026,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(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)) ).

cnf(u9524,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),a),compose(a,a),codomain(X0),a),a) ).

cnf(u26849,hypothesis,
    compose(compose(g,compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),codomain(X0))),compose(compose(g,compose(h,a)),codomain(X0))),compose(compose(g,compose(h,a)),codomain(X0))) ).

cnf(u3588,hypothesis,
    compose(compose(codomain(X0),g),domain(a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),g),compose(compose(codomain(X0),g),domain(a))) ).

cnf(u29405,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u3035,hypothesis,
    domain(a) = ifeq(domain(b),domain(X0),domain(compose(a,domain(X0))),domain(a)) ).

cnf(u443,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(g,a)),domain(b),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(X0,b),X1,X0,compose(g,a)),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u1233,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),codomain(compose(domain(X0),a)),domain(b)) ).

cnf(u31142,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),domain(X1)) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(codomain(X0),compose(h,compose(a,b))),domain(X1))),compose(compose(codomain(X0),compose(h,compose(a,b))),domain(X1))) ).

cnf(u15837,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),b,domain(b),h),h),h) ).

cnf(u1148,hypothesis,
    compose(compose(g,a),X0) = ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(b),X0)),compose(compose(g,a),X0)) ).

cnf(u8288,hypothesis,
    compose(a,g) = ifeq(domain(a),codomain(compose(a,g)),ifeq(domain(b),domain(h),compose(a,compose(g,codomain(compose(a,g)))),compose(a,g)),compose(a,g)) ).

cnf(u12606,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(compose(h,a),a),compose(domain(X0),a),compose(h,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u93,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(X0,a),X0,X1),X1),X1) = X1 ).

cnf(u13364,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),b,domain(b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u1355,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(b,X1,ifeq(compose(codomain(X0),b),X1,codomain(X0),domain(b)),domain(b)),domain(b)) ).

cnf(u4818,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(g,b),compose(codomain(X0),b),g,codomain(X0)),codomain(X0)) ).

cnf(u5055,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u43217,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u9728,hypothesis,
    compose(compose(a,compose(g,a)),domain(b)) = ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,compose(g,a)),domain(b))) ).

cnf(u7575,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X0),a),compose(compose(h,compose(a,b)),a),domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1052,hypothesis,
    domain(a) = ifeq(codomain(compose(a,b)),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u18658,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(domain(a),b),X0,domain(a),compose(g,a)),compose(g,a)) ).

cnf(u16098,hypothesis,
    compose(compose(a,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u13500,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),b,domain(b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u4377,hypothesis,
    compose(compose(a,a),domain(b)) = ifeq(domain(b),domain(a),compose(a,a),compose(compose(a,a),domain(b))) ).

cnf(u214,axiom,
    domain(X1) = ifeq(codomain(X1),codomain(X0),domain(compose(X1,codomain(X0))),domain(X1)) ).

cnf(u8864,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(domain(X0),b),X1,domain(X0),g),g),g),g) ).

cnf(u25197,hypothesis,
    compose(compose(domain(X1),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,codomain(X0))),compose(compose(domain(X1),h),codomain(X0))),compose(compose(domain(X1),h),codomain(X0))) ).

cnf(u38869,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u14690,hypothesis,
    compose(compose(domain(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(compose(compose(a,b),compose(a,b))),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(domain(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b))),compose(compose(domain(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b))) ).

cnf(u13991,hypothesis,
    compose(compose(g,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))) ).

cnf(u488,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(compose(a,b)),domain(h),compose(g,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u3327,hypothesis,
    compose(compose(domain(X0),domain(b)),X1) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),X1)),compose(compose(domain(X0),domain(b)),X1)),compose(compose(domain(X0),domain(b)),X1)) ).

cnf(u1254,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),compose(h,compose(a,b)))),codomain(compose(a,b))) ).

cnf(u26681,hypothesis,
    compose(domain(X0),compose(h,a)) = ifeq(domain(b),codomain(compose(domain(X0),compose(h,a))),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),codomain(compose(domain(X0),compose(h,a))))),compose(domain(X0),compose(h,a))),compose(domain(X0),compose(h,a))) ).

cnf(u7192,axiom,
    compose(compose(codomain(X0),codomain(X1)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),compose(codomain(X0),codomain(X1)),compose(compose(codomain(X0),codomain(X1)),codomain(X1))) ).

cnf(u199,axiom,
    compose(codomain(X0),X1) = ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(codomain(X0),X1)),compose(codomain(X0),X1)) ).

cnf(u11889,hypothesis,
    compose(compose(domain(X0),a),b) = ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,b)),compose(compose(domain(X0),a),b)) ).

cnf(u39177,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),compose(h,a))),compose(compose(compose(g,a),codomain(X0)),compose(h,a))),compose(compose(compose(g,a),codomain(X0)),compose(h,a))) ).

cnf(u2626,hypothesis,
    compose(compose(X0,a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(a,compose(h,a))),compose(compose(X0,a),compose(h,a))),compose(compose(X0,a),compose(h,a))) ).

cnf(u20976,hypothesis,
    compose(compose(compose(g,a),domain(h)),compose(g,a)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),domain(h)),compose(g,a))) ).

cnf(u25939,hypothesis,
    compose(compose(domain(X0),compose(a,b)),domain(X1)) = ifeq(codomain(b),domain(X1),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),domain(X1))),compose(compose(domain(X0),compose(a,b)),domain(X1))),compose(compose(domain(X0),compose(a,b)),domain(X1))) ).

cnf(u5100,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),domain(b),compose(g,a)),compose(g,a)) ).

cnf(u36862,hypothesis,
    compose(compose(codomain(X1),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,codomain(X0))),compose(compose(codomain(X1),g),codomain(X0))),compose(compose(codomain(X1),g),codomain(X0))) ).

cnf(u2009,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,a),b),compose(X0,b),compose(h,a),X0),X0),X0) = X0 ).

cnf(u10508,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),X1) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),X1)),compose(compose(codomain(X0),compose(h,compose(a,b))),X1)),compose(compose(codomain(X0),compose(h,compose(a,b))),X1)) ).

cnf(u2000,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(h,b),h,X0),X0) = X0 ).

cnf(u258,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(h,a),X1,h,X0),X0),X0) = X0 ).

cnf(u29055,hypothesis,
    compose(compose(compose(h,a),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,codomain(X0))),compose(compose(compose(h,a),h),codomain(X0))),compose(compose(compose(h,a),h),codomain(X0))) ).

cnf(u658,hypothesis,
    a = ifeq(codomain(compose(g,a)),domain(a),ifeq(compose(a,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),a),a),a) ).

cnf(u4483,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(g,a),h,g),g) ).

cnf(u8035,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(compose(h,a),a),compose(a,b),compose(h,a)),compose(h,a)) ).

cnf(u10557,hypothesis,
    compose(compose(codomain(X0),domain(h)),g) = ifeq(codomain(X0),domain(h),compose(codomain(X0),g),compose(compose(codomain(X0),domain(h)),g)) ).

cnf(u89,hypothesis,
    compose(compose(X0,g),compose(a,b)) = ifeq(codomain(X0),domain(g),compose(X0,compose(h,compose(a,b))),compose(compose(X0,g),compose(a,b))) ).

cnf(u27284,hypothesis,
    compose(compose(g,codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),compose(g,a))),compose(compose(g,codomain(X0)),compose(g,a))),compose(compose(g,codomain(X0)),compose(g,a))) ).

cnf(u26364,hypothesis,
    compose(compose(compose(a,b),domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),domain(X1))),compose(compose(compose(a,b),domain(X0)),domain(X1))),compose(compose(compose(a,b),domain(X0)),domain(X1))) ).

cnf(u13103,hypothesis,
    compose(compose(h,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))) ).

cnf(u4113,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(h),domain(compose(X0,compose(g,a))),domain(X0)) ).

cnf(u1972,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u20038,hypothesis,
    compose(compose(g,h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u49235,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(h,a))) ).

cnf(u8854,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u41016,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X0))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X0))) ).

cnf(u41231,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),domain(X0))),compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(compose(compose(h,compose(a,b)),domain(X0))),domain(h),compose(compose(h,compose(a,b)),domain(X0)),compose(compose(domain(compose(compose(h,compose(a,b)),domain(X0))),compose(h,compose(a,b))),domain(X0))),compose(compose(domain(compose(compose(h,compose(a,b)),domain(X0))),compose(h,compose(a,b))),domain(X0))) ).

cnf(u14605,hypothesis,
    compose(compose(compose(g,a),domain(h)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),domain(h)),compose(h,compose(a,b)))) ).

cnf(u210,hypothesis,
    domain(g) = ifeq(codomain(h),domain(X0),domain(compose(g,X0)),domain(g)) ).

cnf(u14348,hypothesis,
    compose(compose(h,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(domain(h),compose(compose(h,a),domain(X0))),compose(compose(h,a),domain(X0))) ).

cnf(u29275,hypothesis,
    compose(compose(g,compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),domain(X0))),compose(compose(g,compose(h,a)),domain(X0))),compose(compose(g,compose(h,a)),domain(X0))) ).

cnf(u36890,hypothesis,
    compose(codomain(X0),g) = ifeq(domain(a),codomain(compose(codomain(X0),g)),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,codomain(compose(codomain(X0),g)))),compose(codomain(X0),g)),compose(codomain(X0),g)) ).

cnf(u2944,hypothesis,
    compose(compose(a,compose(h,a)),domain(b)) = ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,compose(h,a)),domain(b))) ).

cnf(u352,axiom,
    compose(compose(X1,domain(X0)),domain(X0)) = ifeq(codomain(X1),domain(X0),compose(X1,domain(X0)),compose(compose(X1,domain(X0)),domain(X0))) ).

cnf(u15695,hypothesis,
    compose(compose(compose(a,b),h),compose(a,b)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),h),compose(a,b))) ).

cnf(u8507,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(h,b),X0,h,g),g),g) ).

cnf(u12894,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(h,a))),domain(h)) ).

cnf(u29398,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),codomain(X0))),compose(compose(compose(h,a),compose(a,b)),codomain(X0))),compose(compose(compose(h,a),compose(a,b)),codomain(X0))) ).

cnf(u14676,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u8406,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u33437,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(compose(g,a),a),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u14019,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),h),h),h),h) ).

cnf(u15178,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u3226,axiom,
    compose(compose(domain(X1),X2),domain(X0)) = ifeq(codomain(X2),domain(X0),ifeq(domain(X1),domain(X2),compose(domain(X1),compose(X2,domain(X0))),compose(compose(domain(X1),X2),domain(X0))),compose(compose(domain(X1),X2),domain(X0))) ).

cnf(u32688,hypothesis,
    compose(compose(h,compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u1936,hypothesis,
    h = ifeq(domain(a),domain(b),h,h) ).

cnf(u26463,hypothesis,
    compose(compose(compose(g,a),domain(X1)),codomain(X0)) = ifeq(domain(X1),codomain(X0),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),codomain(X0))),compose(compose(compose(g,a),domain(X1)),codomain(X0))),compose(compose(compose(g,a),domain(X1)),codomain(X0))) ).

cnf(u13465,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(compose(a,b),a),compose(a,b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u17533,hypothesis,
    compose(compose(compose(h,a),h),compose(a,b)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),h),compose(a,b))) ).

cnf(u1412,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u37573,hypothesis,
    compose(compose(domain(compose(codomain(X0),domain(b))),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(compose(codomain(X0),domain(b))),codomain(X0),compose(codomain(X0),domain(b)),compose(compose(domain(compose(codomain(X0),domain(b))),codomain(X0)),domain(b))),compose(compose(domain(compose(codomain(X0),domain(b))),codomain(X0)),domain(b))) ).

cnf(u2290,hypothesis,
    compose(compose(compose(a,b),a),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,X0)),compose(compose(compose(a,b),a),X0)),compose(compose(compose(a,b),a),X0)) ).

cnf(u5960,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),b),b,domain(X0),domain(b)),domain(b)) ).

cnf(u51839,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(h,compose(a,b)),compose(h,a))),domain(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a))) ).

cnf(u323,hypothesis,
    compose(X0,g) = ifeq(codomain(X0),domain(h),compose(domain(X0),compose(X0,g)),compose(X0,g)) ).

cnf(u21520,hypothesis,
    compose(compose(g,domain(b)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),compose(g,compose(domain(b),compose(a,b))),compose(compose(g,domain(b)),compose(a,b))),compose(compose(g,domain(b)),compose(a,b))) ).

cnf(u9766,hypothesis,
    compose(h,g) = ifeq(domain(a),domain(h),compose(domain(h),compose(h,g)),compose(h,g)) ).

cnf(u1642,hypothesis,
    domain(compose(h,compose(a,b))) = domain(h) ).

cnf(u23836,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(domain(a),b),domain(a),g),g) ).

cnf(u928,hypothesis,
    compose(compose(a,codomain(X0)),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(a,codomain(X0)),compose(compose(a,codomain(X0)),codomain(X0))) ).

cnf(u4475,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(h,a),compose(domain(X0),a),h,domain(X0)),domain(X0)) ).

cnf(u9083,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(h,compose(g,a))),domain(h)) ).

cnf(u12838,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,a),a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u1903,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(a,a),a,X0),X0),X0) = X0 ).

cnf(u3606,hypothesis,
    compose(compose(h,a),X0) = ifeq(codomain(X0),codomain(compose(compose(h,a),X0)),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,codomain(compose(compose(h,a),X0)))),compose(compose(h,a),X0)),compose(compose(h,a),X0)) ).

cnf(u101,axiom,
    codomain(X0) = compose(codomain(X0),codomain(X0)) ).

cnf(u25944,hypothesis,
    compose(compose(domain(X0),g),domain(X1)) = ifeq(domain(a),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,domain(X1))),compose(compose(domain(X0),g),domain(X1))),compose(compose(domain(X0),g),domain(X1))) ).

cnf(u23770,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(domain(a),b),X0,domain(a),h),h),h) ).

cnf(u30481,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(X0,compose(h,compose(a,b))),compose(h,a))),compose(compose(X0,compose(h,compose(a,b))),compose(h,a))) ).

cnf(u29402,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u11696,hypothesis,
    compose(compose(h,h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(h,compose(g,a))),compose(compose(h,h),compose(g,a))),compose(compose(h,h),compose(g,a))) ).

cnf(u36664,hypothesis,
    compose(compose(compose(g,a),g),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,domain(b))),compose(compose(compose(g,a),g),domain(b))),compose(compose(compose(g,a),g),domain(b))) ).

cnf(u29963,hypothesis,
    compose(compose(X0,compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),compose(h,a))),compose(compose(X0,compose(h,a)),compose(h,a))),compose(compose(X0,compose(h,a)),compose(h,a))) ).

cnf(u38866,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u895,hypothesis,
    compose(compose(a,compose(a,b)),X0) = ifeq(codomain(compose(a,b)),domain(X0),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),X0)),compose(compose(a,compose(a,b)),X0)),compose(compose(a,compose(a,b)),X0)) ).

cnf(u1425,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),codomain(compose(compose(h,a),a)),domain(b)) ).

cnf(u38222,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u28062,hypothesis,
    compose(compose(a,b),domain(b)) = ifeq(domain(b),codomain(compose(compose(a,b),domain(b))),ifeq(codomain(b),domain(b),compose(compose(a,b),compose(domain(b),codomain(compose(compose(a,b),domain(b))))),compose(compose(a,b),domain(b))),compose(compose(a,b),domain(b))) ).

cnf(u74,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(codomain(h),domain(b),ifeq(compose(g,b),X1,ifeq(compose(X0,b),X1,X0,g),g),g),g) ).

cnf(u16155,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X0),a),compose(h,a),codomain(X0),h),h),h) ).

cnf(u18474,hypothesis,
    compose(compose(h,domain(b)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(h,compose(domain(b),compose(g,a))),compose(compose(h,domain(b)),compose(g,a))),compose(compose(h,domain(b)),compose(g,a))) ).

cnf(u26412,axiom,
    compose(compose(domain(compose(domain(X0),domain(X1))),domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(domain(compose(domain(X0),domain(X1))),domain(X0),compose(domain(X0),domain(X1)),compose(compose(domain(compose(domain(X0),domain(X1))),domain(X0)),domain(X1))),compose(compose(domain(compose(domain(X0),domain(X1))),domain(X0)),domain(X1))) ).

cnf(u21521,hypothesis,
    compose(compose(g,domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),compose(a,b))),compose(compose(g,domain(X0)),compose(a,b))),compose(compose(g,domain(X0)),compose(a,b))) ).

cnf(u9508,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(g,a),a),a) ).

cnf(u14020,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),h),h),h),h) ).

cnf(u26848,hypothesis,
    compose(compose(g,compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),codomain(X0))),compose(compose(g,compose(g,a)),codomain(X0))),compose(compose(g,compose(g,a)),codomain(X0))) ).

cnf(u16477,hypothesis,
    compose(compose(a,compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),domain(X0))),compose(compose(a,compose(h,a)),domain(X0))),compose(compose(a,compose(h,a)),domain(X0))) ).

cnf(u1378,axiom,
    codomain(X0) = ifeq(codomain(X1),codomain(X0),codomain(compose(X1,codomain(X0))),codomain(X0)) ).

cnf(u4589,hypothesis,
    compose(compose(domain(X0),domain(h)),compose(g,a)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,a)),compose(compose(domain(X0),domain(h)),compose(g,a))) ).

cnf(u13336,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(compose(a,b),b),compose(a,b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u187,axiom,
    compose(X1,codomain(X0)) = ifeq(codomain(X1),codomain(X0),compose(domain(X1),compose(X1,codomain(X0))),compose(X1,codomain(X0))) ).

cnf(u5086,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(a,b),compose(g,a)),compose(g,a)) ).

cnf(u42724,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u1404,hypothesis,
    compose(compose(X0,compose(h,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(compose(h,a)),compose(X0,compose(compose(h,a),X1)),compose(compose(X0,compose(h,a)),X1)),compose(compose(X0,compose(h,a)),X1)) ).

cnf(u18471,hypothesis,
    compose(compose(h,domain(b)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(h,compose(domain(b),compose(h,compose(a,b)))),compose(compose(h,domain(b)),compose(h,compose(a,b)))),compose(compose(h,domain(b)),compose(h,compose(a,b)))) ).

cnf(u8070,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(a,a),a,compose(h,a)),compose(h,a)) ).

cnf(u39396,hypothesis,
    compose(compose(g,compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u7230,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),codomain(X0)),compose(compose(compose(h,compose(a,b)),codomain(X0)),codomain(X0))) ).

cnf(u23143,hypothesis,
    compose(compose(domain(X0),g),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,domain(b))),compose(compose(domain(X0),g),domain(b))),compose(compose(domain(X0),g),domain(b))) ).

cnf(u40160,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u5395,hypothesis,
    compose(compose(h,h),domain(a)) = ifeq(domain(a),domain(h),compose(h,h),compose(compose(h,h),domain(a))) ).

cnf(u46480,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u666,hypothesis,
    a = ifeq(codomain(compose(a,b)),domain(a),ifeq(compose(a,a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),a),a),a) ).

cnf(u5242,hypothesis,
    compose(compose(h,X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(X0,compose(g,a))),compose(compose(h,X0),compose(g,a))),compose(compose(h,X0),compose(g,a))) ).

cnf(u6544,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(a,a),a,compose(g,a)),compose(g,a)) ).

cnf(u3947,axiom,
    compose(compose(codomain(X0),domain(X1)),domain(X1)) = ifeq(codomain(X0),domain(X1),compose(codomain(X0),domain(X1)),compose(compose(codomain(X0),domain(X1)),domain(X1))) ).

cnf(u97,hypothesis,
    domain(b) = domain(domain(b)) ).

cnf(u10125,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(g,a),a),compose(g,a),a),a) ).

cnf(u23803,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(domain(a),b),compose(g,b),domain(a),g),g) ).

cnf(u34545,hypothesis,
    compose(compose(a,b),compose(h,a)) = ifeq(domain(b),codomain(compose(compose(a,b),compose(h,a))),ifeq(codomain(b),domain(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))) ).

cnf(u7406,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u40859,hypothesis,
    compose(codomain(X0),compose(a,b)) = ifeq(codomain(b),codomain(compose(codomain(X0),compose(a,b))),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),codomain(compose(codomain(X0),compose(a,b))))),compose(codomain(X0),compose(a,b))),compose(codomain(X0),compose(a,b))) ).

cnf(u44770,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u1980,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X0,b),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u43366,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u8278,hypothesis,
    compose(compose(a,g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(g,compose(g,a))),compose(compose(a,g),compose(g,a))),compose(compose(a,g),compose(g,a))) ).

cnf(u24484,hypothesis,
    compose(compose(h,codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),codomain(X1))),compose(compose(h,codomain(X0)),codomain(X1))),compose(compose(h,codomain(X0)),codomain(X1))) ).

cnf(u19841,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u15672,hypothesis,
    compose(compose(compose(a,b),h),domain(b)) = ifeq(domain(a),domain(b),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,domain(b))),compose(compose(compose(a,b),h),domain(b))),compose(compose(compose(a,b),h),domain(b))) ).

cnf(u9402,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(compose(domain(b),a),compose(domain(X0),a),domain(X0),domain(b)),domain(b)) ).

cnf(u29146,hypothesis,
    compose(compose(g,a),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(compose(g,a),compose(h,compose(a,b)))),ifeq(domain(b),domain(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)))) ).

cnf(u13106,hypothesis,
    compose(compose(h,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),compose(g,a))),compose(compose(h,a),compose(g,a))) ).

cnf(u32020,hypothesis,
    compose(compose(codomain(X0),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,compose(h,compose(a,b)))),compose(compose(codomain(X0),a),compose(h,compose(a,b)))),compose(compose(codomain(X0),a),compose(h,compose(a,b)))) ).

cnf(u12411,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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)) ).

cnf(u31633,hypothesis,
    compose(compose(domain(X0),codomain(X1)),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),codomain(X1),compose(domain(X0),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(domain(X0),codomain(X1)),compose(h,compose(a,b)))),compose(compose(domain(X0),codomain(X1)),compose(h,compose(a,b)))) ).

cnf(u32579,hypothesis,
    compose(compose(h,a),codomain(X0)) = ifeq(codomain(X0),codomain(compose(compose(h,a),codomain(X0))),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),codomain(compose(compose(h,a),codomain(X0))))),compose(compose(h,a),codomain(X0))),compose(compose(h,a),codomain(X0))) ).

cnf(u1922,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),a),compose(X0,a),X0,compose(h,a)),compose(h,a)) ).

cnf(u21652,hypothesis,
    compose(g,compose(g,a)) = ifeq(domain(b),codomain(compose(g,compose(g,a))),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),codomain(compose(g,compose(g,a))))),compose(g,compose(g,a))),compose(g,compose(g,a))) ).

cnf(u5905,axiom,
    compose(domain(X1),domain(X0)) = ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X1),domain(X0))),compose(domain(X1),domain(X0))) ).

cnf(u7404,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain(X0),b),domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u71,hypothesis,
    ifeq(codomain(h),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(g,a),X1,g,X0),X0),X0),X0) = X0 ).

cnf(u5082,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),b),compose(h,compose(a,b)),codomain(X0),compose(g,a)),compose(g,a)) ).

cnf(u11435,hypothesis,
    compose(compose(X1,g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(X1),domain(h),compose(X1,compose(g,domain(X0))),compose(compose(X1,g),domain(X0))),compose(compose(X1,g),domain(X0))) ).

cnf(u203,hypothesis,
    compose(h,compose(a,b)) = compose(domain(g),compose(h,compose(a,b))) ).

cnf(u24752,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(domain(X0),a),domain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u1538,hypothesis,
    compose(compose(h,a),X0) = ifeq(domain(b),domain(X0),compose(h,compose(a,X0)),compose(compose(h,a),X0)) ).

cnf(u6926,hypothesis,
    compose(compose(g,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(domain(h),compose(compose(g,a),codomain(X0))),compose(compose(g,a),codomain(X0))) ).

cnf(u8388,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(X0,b),X1,X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u43447,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X0))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X0))) ).

cnf(u2696,hypothesis,
    compose(a,b) = compose(domain(a),compose(a,b)) ).

cnf(u7779,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(g,a),g)),domain(h)) ).

cnf(u7673,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),X0,ifeq(compose(g,a),X0,g,compose(g,a)),compose(g,a)) ).

cnf(u16881,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(h)),g) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),domain(h)),g)) ).

cnf(u44968,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(X0)),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u2652,hypothesis,
    compose(compose(a,b),compose(h,a)) = ifeq(codomain(b),domain(h),compose(a,compose(b,compose(h,a))),compose(compose(a,b),compose(h,a))) ).

cnf(u15847,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(domain(X0),a),domain(X0),h),h),h) ).

cnf(u936,hypothesis,
    compose(compose(a,domain(h)),g) = ifeq(domain(b),domain(h),compose(a,g),compose(compose(a,domain(h)),g)) ).

cnf(u4002,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),domain(compose(codomain(X0),domain(b))),codomain(X0)) ).

cnf(u13459,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(domain(X0),a),domain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u12909,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(g,a))),domain(h)) ).

cnf(u13960,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),h),h),h),h) ).

cnf(u4960,hypothesis,
    a = ifeq(compose(a,a),compose(g,a),g,a) ).

cnf(u12649,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(codomain(X0),b),compose(domain(X1),b),codomain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u7517,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),X0)),compose(compose(compose(h,compose(a,b)),compose(a,b)),X0)),compose(compose(compose(h,compose(a,b)),compose(a,b)),X0)) ).

cnf(u18806,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(g,a))) ).

cnf(u14842,hypothesis,
    compose(compose(h,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),compose(g,compose(compose(a,b),domain(b))),compose(compose(h,compose(a,b)),domain(b))) ).

cnf(u17845,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(g,b),compose(h,compose(a,b)),g),g),g) ).

cnf(u466,hypothesis,
    compose(compose(X0,g),compose(a,b)) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,g),compose(a,b))) ).

cnf(u9407,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(a,b),a),compose(a,b),domain(b)),domain(b)) ).

cnf(u14604,hypothesis,
    compose(compose(compose(h,a),domain(h)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),domain(h)),compose(h,compose(a,b)))) ).

cnf(u1539,hypothesis,
    compose(compose(X0,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(a,compose(h,compose(a,b)))),compose(compose(X0,a),compose(h,compose(a,b)))),compose(compose(X0,a),compose(h,compose(a,b)))) ).

cnf(u1433,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),X0,ifeq(a,X0,domain(a),compose(h,a)),compose(h,a)) ).

cnf(u21906,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,compose(g,a))),compose(compose(compose(h,compose(a,b)),X0),compose(g,a))),compose(compose(compose(h,compose(a,b)),X0),compose(g,a))) ).

cnf(u10122,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,a),compose(codomain(X0),a),codomain(X0),a),a) ).

cnf(u12882,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),compose(domain(a),b),domain(a),compose(h,a)) ).

cnf(u82,hypothesis,
    compose(g,X0) = ifeq(codomain(codomain(h)),domain(X0),compose(g,compose(codomain(h),X0)),compose(g,X0)) ).

cnf(u10064,hypothesis,
    compose(compose(X0,h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(g,a))),compose(compose(X0,h),compose(g,a))),compose(compose(X0,h),compose(g,a))) ).

cnf(u26150,hypothesis,
    compose(compose(domain(X0),domain(X1)),compose(a,b)) = ifeq(domain(X1),domain(a),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X1),compose(a,b))),compose(compose(domain(X0),domain(X1)),compose(a,b))),compose(compose(domain(X0),domain(X1)),compose(a,b))) ).

cnf(u1311,hypothesis,
    compose(compose(a,h),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,h),compose(domain(a),compose(a,b)))),compose(compose(a,h),compose(domain(a),compose(a,b)))) ).

cnf(u9420,hypothesis,
    domain(b) = ifeq(compose(domain(b),a),a,domain(a),domain(b)) ).

cnf(u425,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(X0,b),X1,X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u32097,hypothesis,
    compose(compose(compose(a,b),g),domain(b)) = ifeq(domain(a),domain(b),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,domain(b))),compose(compose(compose(a,b),g),domain(b))),compose(compose(compose(a,b),g),domain(b))) ).

cnf(u43068,hypothesis,
    compose(compose(domain(compose(compose(g,a),codomain(X0))),compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(compose(compose(g,a),codomain(X0))),domain(h),compose(compose(g,a),codomain(X0)),compose(compose(domain(compose(compose(g,a),codomain(X0))),compose(g,a)),codomain(X0))),compose(compose(domain(compose(compose(g,a),codomain(X0))),compose(g,a)),codomain(X0))) ).

cnf(u41545,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u16485,hypothesis,
    compose(compose(a,domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),domain(X1))),compose(compose(a,domain(X0)),domain(X1))),compose(compose(a,domain(X0)),domain(X1))) ).

cnf(u17151,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(domain(X1),a),domain(X1),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u53200,hypothesis,
    compose(compose(domain(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(h,a),compose(h,a))),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(domain(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a))),compose(compose(domain(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a))) ).

cnf(u16791,hypothesis,
    compose(compose(a,h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(h,compose(h,a))),compose(compose(a,h),compose(h,a))),compose(compose(a,h),compose(h,a))) ).

cnf(u2655,hypothesis,
    compose(compose(g,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(g,compose(a,compose(h,a))),compose(compose(g,a),compose(h,a))) ).

cnf(u2546,hypothesis,
    domain(a) = ifeq(codomain(b),codomain(X0),domain(compose(compose(a,b),codomain(X0))),domain(a)) ).

cnf(u38077,hypothesis,
    compose(compose(domain(X0),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,compose(g,a))),compose(compose(domain(X0),g),compose(g,a))),compose(compose(domain(X0),g),compose(g,a))) ).

cnf(u67,axiom,
    compose(compose(X1,X0),codomain(X0)) = ifeq(codomain(X1),domain(X0),compose(X1,X0),compose(compose(X1,X0),codomain(X0))) ).

cnf(u3513,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(b,X0,domain(b),h),h),h),h) ).

cnf(u1808,hypothesis,
    compose(compose(g,domain(X0)),X0) = ifeq(domain(a),domain(X0),compose(g,X0),compose(compose(g,domain(X0)),X0)) ).

cnf(u24285,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),X0)),compose(compose(compose(g,a),compose(h,a)),X0)),compose(compose(compose(g,a),compose(h,a)),X0)) ).

cnf(u16553,hypothesis,
    compose(compose(compose(h,a),g),a) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),g),a)) ).

cnf(u8827,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),h),h),h),h) ).

cnf(u11421,hypothesis,
    compose(compose(compose(h,a),g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,X0)),compose(compose(compose(h,a),g),X0)),compose(compose(compose(h,a),g),X0)) ).

cnf(u13460,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(codomain(X0),a),codomain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u8034,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(compose(h,a),a),compose(g,a),compose(h,a)),compose(h,a)) ).

cnf(u9527,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(a,a),compose(g,a),a),a) ).

cnf(u27777,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(domain(a),codomain(compose(compose(h,compose(a,b)),g)),ifeq(codomain(b),domain(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)) ).

cnf(u3043,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),domain(compose(a,g)),domain(a)) ).

cnf(u2284,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(X0,b),X1,X0,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u176,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(a,X1,domain(a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u2324,hypothesis,
    compose(compose(compose(a,b),domain(X0)),X0) = ifeq(codomain(b),domain(X0),compose(compose(a,b),X0),compose(compose(compose(a,b),domain(X0)),X0)) ).

cnf(u14241,hypothesis,
    compose(compose(X0,compose(g,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),domain(X1))),compose(compose(X0,compose(g,a)),domain(X1))),compose(compose(X0,compose(g,a)),domain(X1))) ).

cnf(u2305,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X0,b),compose(compose(a,b),b),X0,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u35453,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(h,a))) ).

cnf(u8065,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),a),compose(codomain(X0),a),codomain(X0),compose(h,a)),compose(h,a)) ).

cnf(u38223,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u41623,hypothesis,
    compose(compose(domain(compose(compose(h,a),g)),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(h,a),g)),domain(h),compose(compose(h,a),g),compose(compose(domain(compose(compose(h,a),g)),compose(h,a)),g)),compose(compose(domain(compose(compose(h,a),g)),compose(h,a)),g)) ).

cnf(u19357,hypothesis,
    compose(compose(h,domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),compose(g,a))),compose(compose(h,domain(X0)),compose(g,a))),compose(compose(h,domain(X0)),compose(g,a))) ).

cnf(u9574,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),g),g),g),g) ).

cnf(u4083,hypothesis,
    domain(h) = domain(compose(g,a)) ).

cnf(u330,hypothesis,
    compose(g,X0) = ifeq(domain(a),domain(X0),compose(domain(h),compose(g,X0)),compose(g,X0)) ).

cnf(u43220,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u15852,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(compose(g,a),a),compose(g,a),h),h),h) ).

cnf(u27130,hypothesis,
    compose(compose(domain(X0),compose(g,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),codomain(X1))),compose(compose(domain(X0),compose(g,a)),codomain(X1))),compose(compose(domain(X0),compose(g,a)),codomain(X1))) ).

cnf(u1419,hypothesis,
    compose(compose(X0,compose(h,a)),domain(b)) = ifeq(codomain(X0),domain(compose(h,a)),compose(X0,compose(h,a)),compose(compose(X0,compose(h,a)),domain(b))) ).

cnf(u14276,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(g,a),compose(b,domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u7631,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u3066,hypothesis,
    compose(compose(g,X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(a),domain(X0),compose(g,compose(X0,X1)),compose(compose(g,X0),X1)),compose(compose(g,X0),X1)) ).

cnf(u2622,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(h),domain(compose(X0,compose(h,a))),domain(X0)) ).

cnf(u29857,hypothesis,
    compose(compose(codomain(X0),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(h,compose(a,b)))),compose(compose(codomain(X0),h),compose(h,compose(a,b)))),compose(compose(codomain(X0),h),compose(h,compose(a,b)))) ).

cnf(u18921,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(a,b),a),compose(codomain(X0),a),compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u22425,hypothesis,
    compose(compose(g,g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(a),domain(h),compose(g,compose(g,codomain(X0))),compose(compose(g,g),codomain(X0))),compose(compose(g,g),codomain(X0))) ).

cnf(u16094,hypothesis,
    compose(compose(a,compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),g)),compose(compose(a,compose(a,b)),g)),compose(compose(a,compose(a,b)),g)) ).

cnf(u14767,hypothesis,
    compose(compose(a,b),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),compose(h,a))),compose(compose(a,b),compose(h,a))) ).

cnf(u2204,hypothesis,
    compose(compose(h,a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(h,compose(a,compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))) ).

cnf(u5239,hypothesis,
    compose(compose(h,X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(X0,compose(h,compose(a,b)))),compose(compose(h,X0),compose(h,compose(a,b)))),compose(compose(h,X0),compose(h,compose(a,b)))) ).

cnf(u14427,hypothesis,
    compose(a,compose(h,a)) = ifeq(domain(b),codomain(compose(a,compose(h,a))),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),codomain(compose(a,compose(h,a))))),compose(a,compose(h,a))),compose(a,compose(h,a))) ).

cnf(u16000,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(a,b),b),compose(h,b),compose(a,b),h),h),h) ).

cnf(u2651,hypothesis,
    compose(h,compose(h,a)) = ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(h,a))),compose(h,compose(h,a))) ).

cnf(u59,axiom,
    compose(compose(domain(compose(X0,X1)),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(compose(X0,X1)),domain(X0),compose(X0,X1),compose(compose(domain(compose(X0,X1)),X0),X1)),compose(compose(domain(compose(X0,X1)),X0),X1)) ).

cnf(u38215,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),codomain(X0))),compose(compose(compose(h,a),compose(g,a)),codomain(X0))),compose(compose(compose(h,a),compose(g,a)),codomain(X0))) ).

cnf(u1349,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X2,ifeq(compose(X1,a),X2,X1,codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u2261,hypothesis,
    codomain(b) = ifeq(domain(b),domain(a),codomain(compose(a,compose(a,b))),codomain(b)) ).

cnf(u7956,axiom,
    compose(compose(X1,codomain(X2)),domain(X0)) = ifeq(codomain(X2),domain(X0),ifeq(codomain(X1),codomain(X2),compose(X1,compose(codomain(X2),domain(X0))),compose(compose(X1,codomain(X2)),domain(X0))),compose(compose(X1,codomain(X2)),domain(X0))) ).

cnf(u3477,hypothesis,
    codomain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u12698,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(b,compose(codomain(X0),b),domain(b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u25469,hypothesis,
    compose(compose(compose(a,b),domain(h)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),domain(h)),compose(h,a))) ).

cnf(u9869,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u4671,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(h,a),h,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u32160,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),g)),compose(compose(compose(h,a),codomain(X0)),g)),compose(compose(compose(h,a),codomain(X0)),g)) ).

cnf(u3398,axiom,
    compose(compose(domain(X1),domain(X0)),domain(X0)) = ifeq(domain(X1),domain(X0),compose(domain(X1),domain(X0)),compose(compose(domain(X1),domain(X0)),domain(X0))) ).

cnf(u5913,hypothesis,
    compose(domain(X0),compose(h,a)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(domain(X0),compose(h,a))),compose(domain(X0),compose(h,a))) ).

cnf(u5815,hypothesis,
    compose(compose(g,compose(h,a)),domain(b)) = ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,compose(h,a)),domain(b))) ).

cnf(u9376,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),domain(b)),domain(b)),domain(b)) ).

cnf(u2317,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(X0),codomain(compose(compose(a,b),domain(X0))),domain(X0)) ).

cnf(u11687,hypothesis,
    compose(compose(h,h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(h,domain(X0))),compose(compose(h,h),domain(X0))),compose(compose(h,h),domain(X0))) ).

cnf(u881,hypothesis,
    compose(a,X0) = ifeq(codomain(X0),codomain(compose(a,X0)),ifeq(domain(b),domain(X0),compose(a,compose(X0,codomain(compose(a,X0)))),compose(a,X0)),compose(a,X0)) ).

cnf(u25204,hypothesis,
    compose(compose(domain(X0),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(g,a))),compose(compose(domain(X0),h),compose(g,a))),compose(compose(domain(X0),h),compose(g,a))) ).

cnf(u13195,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(g,a))),domain(b)) ).

cnf(u3429,hypothesis,
    compose(compose(domain(X0),domain(h)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),domain(h)),compose(h,compose(a,b)))) ).

cnf(u10569,hypothesis,
    compose(compose(codomain(X0),domain(h)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),domain(h)),compose(h,compose(a,b)))) ).

cnf(u44139,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),compose(h,a))),compose(compose(codomain(X0),compose(a,b)),compose(h,a))),compose(compose(codomain(X0),compose(a,b)),compose(h,a))) ).

cnf(u5337,hypothesis,
    compose(compose(h,g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(g,X0)),compose(compose(h,g),X0)),compose(compose(h,g),X0)) ).

cnf(u41622,hypothesis,
    compose(compose(domain(compose(compose(g,a),g)),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(g,a),g)),domain(h),compose(compose(g,a),g),compose(compose(domain(compose(compose(g,a),g)),compose(g,a)),g)),compose(compose(domain(compose(compose(g,a),g)),compose(g,a)),g)) ).

cnf(u3357,hypothesis,
    compose(compose(domain(X0),compose(g,a)),b) = ifeq(domain(X0),domain(compose(g,a)),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),compose(g,a)),b)) ).

cnf(u1975,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(a,b),a,X0),X0),X0) = X0 ).

cnf(u1547,hypothesis,
    compose(compose(g,a),X0) = ifeq(domain(b),domain(X0),compose(g,compose(a,X0)),compose(compose(g,a),X0)) ).

cnf(u11423,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),X0) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,X0)),compose(compose(compose(h,compose(a,b)),g),X0)),compose(compose(compose(h,compose(a,b)),g),X0)) ).

cnf(u4498,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(h,a),compose(compose(h,compose(a,b)),a),h,compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u30948,hypothesis,
    compose(compose(domain(X0),domain(X1)),compose(h,a)) = ifeq(domain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X1),compose(h,a))),compose(compose(domain(X0),domain(X1)),compose(h,a))),compose(compose(domain(X0),domain(X1)),compose(h,a))) ).

cnf(u1382,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),codomain(compose(codomain(X0),a)),domain(b)) ).

cnf(u764,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(b,X1,ifeq(compose(domain(X0),b),X1,domain(X0),domain(b)),domain(b)),domain(b)) ).

cnf(u1321,hypothesis,
    codomain(compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),codomain(compose(a,b)),codomain(compose(domain(a),compose(a,b)))) ).

cnf(u30017,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u5965,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),b,compose(a,b),domain(b)),domain(b)) ).

cnf(u7660,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X0,ifeq(compose(a,a),X0,a,compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u839,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(compose(a,b)),domain(X0),compose(g,compose(compose(a,b),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u9489,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),b),compose(a,b),codomain(X0),a),a) ).

cnf(u8353,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u6518,hypothesis,
    compose(compose(h,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(codomain(b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) ).

cnf(u16799,hypothesis,
    compose(compose(a,h),a) = ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,h),a)) ).

cnf(u8821,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u9419,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain(b)),domain(b)) ).

cnf(u11107,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),codomain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),X0),compose(compose(compose(h,compose(a,b)),X0),codomain(X0))) ).

cnf(u18468,hypothesis,
    compose(compose(h,domain(b)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),compose(h,compose(domain(b),compose(a,b))),compose(compose(h,domain(b)),compose(a,b))),compose(compose(h,domain(b)),compose(a,b))) ).

cnf(u2011,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(a,b),compose(X0,b),a,X0),X0),X0) = X0 ).

cnf(u27988,hypothesis,
    compose(compose(codomain(X1),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(codomain(X1),codomain(X0),compose(codomain(X1),compose(codomain(X0),domain(b))),compose(compose(codomain(X1),codomain(X0)),domain(b))),compose(compose(codomain(X1),codomain(X0)),domain(b))) ).

cnf(u19553,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(a,a),a,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u42637,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(a,b))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(a,b))) ).

cnf(u5977,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,compose(h,a),domain(b)),domain(b)) ).

cnf(u15004,hypothesis,
    compose(compose(compose(a,b),a),b) = ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),a),b)) ).

cnf(u1655,hypothesis,
    domain(compose(g,a)) = ifeq(domain(b),domain(a),domain(compose(compose(g,a),compose(a,b))),domain(compose(g,a))) ).

cnf(u11115,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X0,a),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u3949,hypothesis,
    compose(compose(compose(h,a),domain(X0)),domain(X0)) = ifeq(domain(b),domain(X0),compose(compose(h,a),domain(X0)),compose(compose(compose(h,a),domain(X0)),domain(X0))) ).

cnf(u1415,hypothesis,
    compose(compose(a,compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(compose(h,a)),compose(a,compose(compose(h,a),X0)),compose(compose(a,compose(h,a)),X0)),compose(compose(a,compose(h,a)),X0)) ).

cnf(u12393,hypothesis,
    compose(compose(h,domain(b)),g) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(h,compose(domain(b),g)),compose(compose(h,domain(b)),g)),compose(compose(h,domain(b)),g)) ).

cnf(u765,hypothesis,
    domain(b) = ifeq(codomain(compose(a,b)),domain(a),ifeq(b,X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),domain(b)),domain(b)),domain(b)) ).

cnf(u8271,hypothesis,
    compose(compose(a,g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(a,compose(g,codomain(X0))),compose(compose(a,g),codomain(X0))),compose(compose(a,g),codomain(X0))) ).

cnf(u13105,hypothesis,
    compose(compose(h,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),compose(h,a))),compose(compose(h,a),compose(h,a))) ).

cnf(u18717,hypothesis,
    compose(compose(domain(compose(domain(X0),g)),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(compose(domain(X0),g)),domain(X0),compose(domain(X0),g),compose(compose(domain(compose(domain(X0),g)),domain(X0)),g)),compose(compose(domain(compose(domain(X0),g)),domain(X0)),g)) ).

cnf(u18676,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),g)),compose(compose(compose(h,compose(a,b)),domain(X0)),g)),compose(compose(compose(h,compose(a,b)),domain(X0)),g)) ).

cnf(u13331,hypothesis,
    domain(X1) = ifeq(codomain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(codomain(X0),b),codomain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u34322,hypothesis,
    compose(compose(domain(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(a,b),compose(h,compose(a,b)))),domain(a),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(domain(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u3528,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(b,X0,domain(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u41203,hypothesis,
    compose(compose(domain(compose(compose(g,a),domain(X0))),compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(compose(compose(g,a),domain(X0))),domain(h),compose(compose(g,a),domain(X0)),compose(compose(domain(compose(compose(g,a),domain(X0))),compose(g,a)),domain(X0))),compose(compose(domain(compose(compose(g,a),domain(X0))),compose(g,a)),domain(X0))) ).

cnf(u47125,hypothesis,
    compose(compose(domain(X0),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),compose(a,b))),compose(compose(domain(X0),compose(h,a)),compose(a,b))),compose(compose(domain(X0),compose(h,a)),compose(a,b))) ).

cnf(u43161,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u32104,hypothesis,
    compose(compose(compose(a,b),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u7780,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(h,a),g)),domain(h)) ).

cnf(u27624,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),X0)),compose(compose(compose(h,a),compose(g,a)),X0)),compose(compose(compose(h,a),compose(g,a)),X0)) ).

cnf(u35043,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u316,hypothesis,
    g = compose(domain(h),g) ).

cnf(u6624,hypothesis,
    compose(a,g) = ifeq(domain(b),domain(h),compose(a,compose(domain(b),g)),compose(a,g)) ).

cnf(u9676,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(a,a),X0,a,g),g),g),g) ).

cnf(u17465,hypothesis,
    compose(h,compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(h,compose(h,compose(a,b)))),ifeq(domain(a),domain(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)))) ).

cnf(u19825,hypothesis,
    compose(compose(g,a),h) = ifeq(domain(a),codomain(compose(compose(g,a),h)),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,codomain(compose(compose(g,a),h)))),compose(compose(g,a),h)),compose(compose(g,a),h)) ).

cnf(u13993,hypothesis,
    compose(compose(g,a),g) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),g)),compose(compose(g,a),g)) ).

cnf(u21659,hypothesis,
    compose(g,codomain(X0)) = ifeq(codomain(X0),codomain(compose(g,codomain(X0))),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),codomain(compose(g,codomain(X0))))),compose(g,codomain(X0))),compose(g,codomain(X0))) ).

cnf(u8346,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(h,compose(compose(a,b),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u23141,hypothesis,
    compose(compose(domain(X1),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X0),domain(b))),compose(compose(domain(X1),domain(X0)),domain(b))),compose(compose(domain(X1),domain(X0)),domain(b))) ).

cnf(u12385,hypothesis,
    compose(compose(h,compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),g)),compose(compose(h,compose(g,a)),g)),compose(compose(h,compose(g,a)),g)) ).

cnf(u10044,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(g,a),a),a) ).

cnf(u3423,hypothesis,
    compose(compose(domain(X0),g),domain(a)) = ifeq(domain(X0),domain(h),compose(domain(X0),g),compose(compose(domain(X0),g),domain(a))) ).

cnf(u3826,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,a),a),a,compose(h,a),domain(a)),domain(a)),domain(a)) ).

cnf(u17850,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,b),compose(g,b),a,g),g),g) ).

cnf(u16926,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(domain(X1),b),compose(codomain(X0),b),domain(X1),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u835,axiom,
    compose(X1,domain(X0)) = ifeq(codomain(X1),domain(X0),compose(domain(X1),compose(X1,domain(X0))),compose(X1,domain(X0))) ).

cnf(u2599,hypothesis,
    compose(h,compose(a,b)) = compose(domain(compose(h,a)),compose(h,compose(a,b))) ).

cnf(u40156,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),codomain(X0))),compose(compose(compose(h,a),compose(h,a)),codomain(X0))),compose(compose(compose(h,a),compose(h,a)),codomain(X0))) ).

cnf(u7950,hypothesis,
    compose(compose(X0,codomain(X1)),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(X0,compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(X0,codomain(X1)),compose(h,compose(a,b)))),compose(compose(X0,codomain(X1)),compose(h,compose(a,b)))) ).

cnf(u1440,hypothesis,
    compose(compose(a,b),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(a,compose(b,codomain(X0))),compose(compose(a,b),codomain(X0))) ).

cnf(u1540,hypothesis,
    compose(compose(X0,a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(a),compose(X0,compose(a,compose(a,b))),compose(compose(X0,a),compose(a,b))),compose(compose(X0,a),compose(a,b))) ).

cnf(u7006,hypothesis,
    compose(compose(a,b),g) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),g)),compose(compose(a,b),g)) ).

cnf(u12609,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(a,a),compose(domain(X0),a),a,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u42376,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u6236,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u11803,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(a,compose(g,a),domain(a),g),g) ).

cnf(u7124,axiom,
    compose(compose(codomain(X0),domain(X1)),X2) = ifeq(domain(X1),domain(X2),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),X2)),compose(compose(codomain(X0),domain(X1)),X2)),compose(compose(codomain(X0),domain(X1)),X2)) ).

cnf(u9405,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(h,a),a),compose(h,a),domain(b)),domain(b)) ).

cnf(u18805,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(h,a))) ).

cnf(u41539,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u4111,hypothesis,
    compose(g,a) = compose(domain(h),compose(g,a)) ).

cnf(u1198,hypothesis,
    compose(compose(a,compose(g,a)),domain(b)) = ifeq(domain(b),domain(compose(g,a)),compose(a,compose(g,a)),compose(compose(a,compose(g,a)),domain(b))) ).

cnf(u452,hypothesis,
    codomain(b) = ifeq(codomain(compose(g,a)),domain(b),codomain(compose(a,b)),codomain(b)) ).

cnf(u17357,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),domain(X0))),compose(compose(h,compose(h,compose(a,b))),domain(X0))),compose(compose(h,compose(h,compose(a,b))),domain(X0))) ).

cnf(u18759,hypothesis,
    compose(compose(compose(g,a),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u36672,hypothesis,
    compose(compose(compose(g,a),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u20082,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),codomain(X0))),compose(compose(compose(g,a),compose(a,b)),codomain(X0))),compose(compose(compose(g,a),compose(a,b)),codomain(X0))) ).

cnf(u18150,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X0),a),compose(g,a),codomain(X0),g),g),g) ).

cnf(u3368,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),X1) = ifeq(codomain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),X1)),compose(compose(domain(X0),compose(h,compose(a,b))),X1)),compose(compose(domain(X0),compose(h,compose(a,b))),X1)) ).

cnf(u5771,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),X0)),compose(compose(g,compose(h,compose(a,b))),X0)),compose(compose(g,compose(h,compose(a,b))),X0)) ).

cnf(u2016,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(compose(a,b)),domain(b),ifeq(compose(X0,b),compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u68,hypothesis,
    g = compose(g,codomain(h)) ).

cnf(u7399,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u2238,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(a,h)),domain(a)) ).

cnf(u11532,hypothesis,
    compose(compose(h,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),compose(compose(h,compose(a,b)),compose(codomain(b),domain(b))),compose(compose(h,compose(a,b)),domain(b))) ).

cnf(u29972,hypothesis,
    compose(compose(compose(a,b),compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),X0)),compose(compose(compose(a,b),compose(h,a)),X0)),compose(compose(compose(a,b),compose(h,a)),X0)) ).

cnf(u5428,hypothesis,
    compose(compose(h,compose(g,a)),domain(b)) = ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,compose(g,a)),domain(b))) ).

cnf(u2298,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),compose(compose(a,b),a),compose(a,b),X0),X0),X0) = X0 ).

cnf(u350,hypothesis,
    compose(compose(X0,h),domain(a)) = ifeq(codomain(X0),domain(h),compose(X0,h),compose(compose(X0,h),domain(a))) ).

cnf(u2878,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(h),codomain(compose(codomain(X0),g)),domain(a)) ).

cnf(u15299,hypothesis,
    compose(compose(h,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))) ).

cnf(u47162,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain(X0),compose(h,compose(a,b))),compose(a,b))) ).

cnf(u38144,hypothesis,
    compose(compose(compose(h,a),g),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,codomain(X0))),compose(compose(compose(h,a),g),codomain(X0))),compose(compose(compose(h,a),g),codomain(X0))) ).

cnf(u2513,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),codomain(b)) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,compose(a,b))),codomain(b))) ).

cnf(u181,hypothesis,
    a = ifeq(compose(a,a),X0,ifeq(a,X0,domain(a),a),a) ).

cnf(u6007,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(b,compose(compose(a,b),b),compose(a,b),domain(b)),domain(b)) ).

cnf(u14816,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u5467,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(codomain(X0),b),codomain(X0),compose(g,a)),compose(g,a)) ).

cnf(u29493,hypothesis,
    compose(compose(compose(a,b),domain(X0)),codomain(X1)) = ifeq(domain(X0),codomain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),codomain(X1))),compose(compose(compose(a,b),domain(X0)),codomain(X1))),compose(compose(compose(a,b),domain(X0)),codomain(X1))) ).

cnf(u4648,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(h,a),h,domain(X0)),domain(X0)) ).

cnf(u847,axiom,
    compose(compose(X1,domain(X0)),X2) = ifeq(domain(X0),domain(X2),ifeq(codomain(X1),domain(X0),compose(X1,compose(domain(X0),X2)),compose(compose(X1,domain(X0)),X2)),compose(compose(X1,domain(X0)),X2)) ).

cnf(u10712,hypothesis,
    compose(h,a) = ifeq(compose(compose(h,a),a),X0,ifeq(compose(g,a),X0,g,compose(h,a)),compose(h,a)) ).

cnf(u1093,hypothesis,
    domain(a) = ifeq(domain(a),domain(h),codomain(compose(g,g)),domain(a)) ).

cnf(u7128,hypothesis,
    compose(compose(X0,domain(X1)),compose(h,a)) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(domain(X1),compose(h,a))),compose(compose(X0,domain(X1)),compose(h,a))),compose(compose(X0,domain(X1)),compose(h,a))) ).

cnf(u2005,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(g,b),g,X0),X0) = X0 ).

cnf(u154,axiom,
    compose(compose(domain(X0),domain(X1)),X1) = ifeq(domain(X0),domain(X1),compose(domain(X0),X1),compose(compose(domain(X0),domain(X1)),X1)) ).

cnf(u37538,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),domain(b))),compose(compose(compose(h,a),codomain(X0)),domain(b))),compose(compose(compose(h,a),codomain(X0)),domain(b))) ).

cnf(u26500,hypothesis,
    compose(compose(g,a),domain(X0)) = ifeq(domain(X0),codomain(compose(compose(g,a),domain(X0))),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),codomain(compose(compose(g,a),domain(X0))))),compose(compose(g,a),domain(X0))),compose(compose(g,a),domain(X0))) ).

cnf(u8031,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),a),compose(compose(h,a),a),codomain(X0),compose(h,a)),compose(h,a)) ).

cnf(u2133,hypothesis,
    compose(compose(a,g),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,g),compose(domain(a),compose(a,b)))),compose(compose(a,g),compose(domain(a),compose(a,b)))) ).

cnf(u2630,hypothesis,
    compose(X0,compose(h,a)) = ifeq(codomain(X0),domain(h),compose(domain(X0),compose(X0,compose(h,a))),compose(X0,compose(h,a))) ).

cnf(u2280,hypothesis,
    compose(compose(compose(a,b),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,X1)),compose(compose(compose(a,b),X0),X1)),compose(compose(compose(a,b),X0),X1)) ).

cnf(u448,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(compose(g,a)),domain(b),compose(domain(compose(g,a)),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u28997,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),compose(a,b))),compose(compose(compose(h,a),codomain(X0)),compose(a,b))),compose(compose(compose(h,a),codomain(X0)),compose(a,b))) ).

cnf(u17538,hypothesis,
    compose(compose(g,h),compose(a,b)) = ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,h),compose(a,b))) ).

cnf(u5524,hypothesis,
    compose(compose(a,a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(a),compose(a,compose(a,codomain(X0))),compose(compose(a,a),codomain(X0))),compose(compose(a,a),codomain(X0))) ).

cnf(u22429,hypothesis,
    compose(compose(g,g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u10067,hypothesis,
    compose(compose(codomain(X0),h),X1) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,X1)),compose(compose(codomain(X0),h),X1)),compose(compose(codomain(X0),h),X1)) ).

cnf(u4413,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(h,b),compose(domain(X0),b),h,domain(X0)),domain(X0)) ).

cnf(u1356,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(a,X1,domain(a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u24079,hypothesis,
    compose(compose(g,domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),compose(h,compose(a,b)))),compose(compose(g,domain(X0)),compose(h,compose(a,b)))),compose(compose(g,domain(X0)),compose(h,compose(a,b)))) ).

cnf(u45151,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u7632,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(b,compose(compose(h,compose(a,b)),b),domain(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u47222,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(X0)),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u23029,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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)) ).

cnf(u28762,axiom,
    compose(compose(codomain(X0),codomain(X1)),codomain(X2)) = ifeq(codomain(X1),codomain(X2),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),codomain(X2))),compose(compose(codomain(X0),codomain(X1)),codomain(X2))),compose(compose(codomain(X0),codomain(X1)),codomain(X2))) ).

cnf(u43584,hypothesis,
    compose(compose(codomain(X0),codomain(X1)),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(codomain(X0),codomain(X1)),compose(h,compose(a,b)))),compose(compose(codomain(X0),codomain(X1)),compose(h,compose(a,b)))) ).

cnf(u11890,hypothesis,
    compose(domain(X0),a) = ifeq(domain(b),codomain(compose(domain(X0),a)),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,codomain(compose(domain(X0),a)))),compose(domain(X0),a)),compose(domain(X0),a)) ).

cnf(u6717,hypothesis,
    compose(compose(compose(h,a),X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,codomain(X1))),compose(compose(compose(h,a),X0),codomain(X1))),compose(compose(compose(h,a),X0),codomain(X1))) ).

cnf(u50319,hypothesis,
    compose(compose(domain(X0),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),compose(g,a))),compose(compose(domain(X0),compose(h,a)),compose(g,a))),compose(compose(domain(X0),compose(h,a)),compose(g,a))) ).

cnf(u4656,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(h,a),h,g),g) ).

cnf(u35454,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(X0)),compose(g,a))) ).

cnf(u20556,hypothesis,
    compose(compose(X0,compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(X0,compose(g,a)),compose(h,compose(a,b)))),compose(compose(X0,compose(g,a)),compose(h,compose(a,b)))) ).

cnf(u1307,hypothesis,
    compose(compose(h,compose(a,b)),codomain(compose(domain(a),compose(a,b)))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(compose(domain(a),compose(a,b))))) ).

cnf(u1325,hypothesis,
    domain(h) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),domain(h),domain(h)) ).

cnf(u22424,hypothesis,
    compose(compose(g,g),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(a),domain(h),compose(g,compose(g,domain(b))),compose(compose(g,g),domain(b))),compose(compose(g,g),domain(b))) ).

cnf(u11028,hypothesis,
    compose(a,compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))) ).

cnf(u5537,hypothesis,
    compose(compose(a,a),b) = ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,a),b)) ).

cnf(u30949,hypothesis,
    compose(compose(domain(X0),domain(X1)),compose(g,a)) = ifeq(domain(X1),domain(h),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(domain(X1),compose(g,a))),compose(compose(domain(X0),domain(X1)),compose(g,a))),compose(compose(domain(X0),domain(X1)),compose(g,a))) ).

cnf(u1220,axiom,
    codomain(X1) = ifeq(codomain(X0),domain(X1),codomain(compose(codomain(X0),X1)),codomain(X1)) ).

cnf(u1654,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),domain(compose(a,compose(a,b))),domain(a)) ).

cnf(u44134,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),compose(h,a))),compose(compose(codomain(X0),compose(h,a)),compose(h,a))),compose(compose(codomain(X0),compose(h,a)),compose(h,a))) ).

cnf(u3392,hypothesis,
    compose(compose(domain(X0),compose(h,a)),b) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),compose(h,a)),b)) ).

cnf(u16365,hypothesis,
    compose(compose(a,codomain(X1)),codomain(X0)) = ifeq(codomain(X1),codomain(X0),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),codomain(X0))),compose(compose(a,codomain(X1)),codomain(X0))),compose(compose(a,codomain(X1)),codomain(X0))) ).

cnf(u20088,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u5330,hypothesis,
    compose(compose(h,codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),X1)),compose(compose(h,codomain(X0)),X1)),compose(compose(h,codomain(X0)),X1)) ).

cnf(u16550,hypothesis,
    compose(compose(codomain(X0),g),a) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,a)),compose(compose(codomain(X0),g),a)) ).

cnf(u8911,hypothesis,
    domain(b) = ifeq(compose(g,a),compose(domain(b),a),g,domain(b)) ).

cnf(u2824,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(a)),compose(a,b)) = ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),domain(a)),compose(a,b))) ).

cnf(u10690,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(g,a),X0,g,h),h),h) ).

cnf(u13971,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),h),h),h),h) ).

cnf(u8064,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(compose(h,a),a),compose(domain(X0),a),domain(X0),compose(h,a)),compose(h,a)) ).

cnf(u5472,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(g,a)),compose(g,a)) ).

cnf(u37539,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),domain(b))),compose(compose(compose(g,a),codomain(X0)),domain(b))),compose(compose(compose(g,a),codomain(X0)),domain(b))) ).

cnf(u1064,hypothesis,
    codomain(X0) = ifeq(domain(a),domain(X0),codomain(compose(g,X0)),codomain(X0)) ).

cnf(u4171,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u16095,hypothesis,
    compose(compose(a,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u2002,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(X0,b),X0,compose(g,a)),compose(g,a)) ).

cnf(u39853,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X0))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X0))) ).

cnf(u14794,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u9379,hypothesis,
    domain(b) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),a),compose(domain(b),a),domain(X0),domain(b)),domain(b)) ).

cnf(u19810,hypothesis,
    compose(compose(compose(g,a),h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,codomain(X0))),compose(compose(compose(g,a),h),codomain(X0))),compose(compose(compose(g,a),h),codomain(X0))) ).

cnf(u5230,hypothesis,
    compose(compose(h,h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(h,X0)),compose(compose(h,h),X0)),compose(compose(h,h),X0)) ).

cnf(u8036,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(h,a),a),a,compose(h,a)),compose(h,a)) ).

cnf(u56,axiom,
    compose(X0,X1) = ifeq(codomain(X1),codomain(compose(X0,X1)),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,codomain(compose(X0,X1)))),compose(X0,X1)),compose(X0,X1)) ).

cnf(u148,hypothesis,
    compose(compose(X0,codomain(h)),compose(a,b)) = ifeq(codomain(X0),codomain(h),compose(X0,compose(a,b)),compose(compose(X0,codomain(h)),compose(a,b))) ).

cnf(u6895,axiom,
    compose(codomain(X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X0),codomain(X1))),compose(codomain(X0),codomain(X1))) ).

cnf(u14500,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u20081,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),domain(b))),compose(compose(compose(g,a),compose(a,b)),domain(b))),compose(compose(compose(g,a),compose(a,b)),domain(b))) ).

cnf(u1049,hypothesis,
    compose(compose(X0,domain(h)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,domain(h)),compose(h,compose(a,b)))) ).

cnf(u23362,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),g) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u3328,axiom,
    compose(compose(domain(X1),domain(X0)),X2) = ifeq(domain(X0),domain(X2),ifeq(domain(X1),domain(X0),compose(domain(X1),compose(domain(X0),X2)),compose(compose(domain(X1),domain(X0)),X2)),compose(compose(domain(X1),domain(X0)),X2)) ).

cnf(u21391,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(domain(a),b),compose(codomain(X0),b),domain(a),codomain(X0)),codomain(X0)) ).

cnf(u25201,hypothesis,
    compose(compose(domain(X0),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(h,compose(a,b)))),compose(compose(domain(X0),h),compose(h,compose(a,b)))),compose(compose(domain(X0),h),compose(h,compose(a,b)))) ).

cnf(u4747,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(g,a),compose(codomain(X0),a),g,codomain(X0)),codomain(X0)) ).

cnf(u610,hypothesis,
    compose(h,compose(a,b)) = compose(domain(h),compose(h,compose(a,b))) ).

cnf(u16001,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,b),compose(h,b),a,h),h),h) ).

cnf(u11862,hypothesis,
    compose(compose(domain(X1),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,codomain(X0))),compose(compose(domain(X1),a),codomain(X0))),compose(compose(domain(X1),a),codomain(X0))) ).

cnf(u31118,axiom,
    compose(compose(codomain(X1),codomain(X0)),domain(X2)) = ifeq(codomain(X0),domain(X2),ifeq(codomain(X1),codomain(X0),compose(codomain(X1),compose(codomain(X0),domain(X2))),compose(compose(codomain(X1),codomain(X0)),domain(X2))),compose(compose(codomain(X1),codomain(X0)),domain(X2))) ).

cnf(u5664,hypothesis,
    compose(compose(g,X0),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(X0,compose(h,a))),compose(compose(g,X0),compose(h,a))),compose(compose(g,X0),compose(h,a))) ).

cnf(u19817,hypothesis,
    compose(compose(compose(g,a),h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u16716,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),g)),compose(compose(X0,compose(h,compose(a,b))),g)),compose(compose(X0,compose(h,compose(a,b))),g)) ).

cnf(u36671,hypothesis,
    compose(compose(compose(g,a),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u22042,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(b)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(b))) ).

cnf(u9371,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,a),compose(domain(b),a),X0,domain(b)),domain(b)) ).

cnf(u4751,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(g,a),compose(compose(a,b),a),g,compose(a,b)),compose(a,b)) ).

cnf(u1513,hypothesis,
    compose(compose(domain(X0),a),X1) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,X1)),compose(compose(domain(X0),a),X1)),compose(compose(domain(X0),a),X1)) ).

cnf(u1312,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(domain(a),compose(a,b))),domain(X0),ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(h,compose(compose(domain(a),compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u33763,hypothesis,
    compose(compose(domain(compose(domain(X0),compose(h,compose(a,b)))),domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(compose(domain(X0),compose(h,compose(a,b)))),domain(X0),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(compose(domain(X0),compose(h,compose(a,b)))),domain(X0)),compose(h,compose(a,b)))),compose(compose(domain(compose(domain(X0),compose(h,compose(a,b)))),domain(X0)),compose(h,compose(a,b)))) ).

cnf(u30,hypothesis,
    a = compose(a,domain(b)) ).

cnf(u14507,hypothesis,
    compose(compose(h,compose(a,b)),a) = ifeq(domain(b),codomain(compose(compose(h,compose(a,b)),a)),ifeq(codomain(b),domain(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)) ).

cnf(u27881,hypothesis,
    compose(compose(h,codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),compose(h,a))),compose(compose(h,codomain(X0)),compose(h,a))),compose(compose(h,codomain(X0)),compose(h,a))) ).

cnf(u13517,hypothesis,
    compose(compose(compose(h,a),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u17579,hypothesis,
    compose(compose(a,domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),compose(h,a))),compose(compose(a,domain(X0)),compose(h,a))),compose(compose(a,domain(X0)),compose(h,a))) ).

cnf(u38871,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u10124,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(h,a),a),compose(h,a),a),a) ).

cnf(u3010,hypothesis,
    domain(h) = ifeq(codomain(b),codomain(X0),domain(compose(compose(h,compose(a,b)),codomain(X0))),domain(h)) ).

cnf(u7299,hypothesis,
    domain(b) = ifeq(domain(a),domain(h),codomain(compose(h,compose(h,a))),domain(b)) ).

cnf(u2659,hypothesis,
    compose(compose(g,domain(h)),compose(h,a)) = ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,domain(h)),compose(h,a))) ).

cnf(u505,axiom,
    domain(X1) = ifeq(domain(X1),codomain(X0),domain(compose(domain(X1),codomain(X0))),domain(X1)) ).

cnf(u20033,hypothesis,
    compose(compose(g,h),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(a),domain(h),compose(g,compose(h,domain(b))),compose(compose(g,h),domain(b))),compose(compose(g,h),domain(b))) ).

cnf(u4669,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),compose(h,a),h,compose(g,a)) ).

cnf(u42727,hypothesis,
    compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u29488,axiom,
    compose(compose(codomain(X0),domain(X1)),codomain(X2)) = ifeq(domain(X1),codomain(X2),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),codomain(X2))),compose(compose(codomain(X0),domain(X1)),codomain(X2))),compose(compose(codomain(X0),domain(X1)),codomain(X2))) ).

cnf(u8215,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(domain(a),b),compose(compose(h,compose(a,b)),b),domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u38872,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u4476,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(h,a),compose(codomain(X0),a),h,codomain(X0)),codomain(X0)) ).

cnf(u147,axiom,
    compose(compose(X1,codomain(X0)),codomain(X0)) = ifeq(codomain(X1),codomain(X0),compose(X1,codomain(X0)),compose(compose(X1,codomain(X0)),codomain(X0))) ).

cnf(u39496,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u31111,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),domain(X1))),compose(compose(codomain(X0),compose(g,a)),domain(X1))),compose(compose(codomain(X0),compose(g,a)),domain(X1))) ).

cnf(u1264,hypothesis,
    compose(h,domain(X0)) = ifeq(domain(a),domain(X0),compose(h,compose(domain(a),domain(X0))),compose(h,domain(X0))) ).

cnf(u13983,hypothesis,
    compose(compose(g,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(domain(h),compose(compose(g,a),domain(X0))),compose(compose(g,a),domain(X0))) ).

cnf(u1727,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(X0),domain(h),codomain(compose(X0,compose(h,compose(a,b)))),codomain(compose(a,b))) ).

cnf(u19651,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(codomain(X0),b),codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u23506,hypothesis,
    compose(compose(compose(h,a),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),domain(b))),compose(compose(compose(h,a),domain(X0)),domain(b))),compose(compose(compose(h,a),domain(X0)),domain(b))) ).

cnf(u12485,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(h,compose(a,b)))),domain(h)) ).

cnf(u46065,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u128,axiom,
    domain(X0) = ifeq(codomain(X1),domain(domain(X0)),codomain(compose(X1,domain(X0))),domain(X0)) ).

cnf(u3828,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(a,b),a),a,compose(a,b),domain(a)),domain(a)),domain(a)) ).

cnf(u2332,hypothesis,
    codomain(b) = ifeq(codomain(X0),domain(a),codomain(compose(X0,compose(a,b))),codomain(b)) ).

cnf(u38393,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),domain(X1))),compose(compose(compose(a,b),codomain(X0)),domain(X1))),compose(compose(compose(a,b),codomain(X0)),domain(X1))) ).

cnf(u2958,hypothesis,
    domain(h) = ifeq(domain(a),codomain(X0),domain(compose(h,codomain(X0))),domain(h)) ).

cnf(u1377,axiom,
    compose(compose(X1,codomain(X0)),X2) = ifeq(codomain(X0),domain(X2),ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X0),X2)),compose(compose(X1,codomain(X0)),X2)),compose(compose(X1,codomain(X0)),X2)) ).

cnf(u2303,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(X0,b),X0,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u14677,hypothesis,
    compose(compose(a,compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u8504,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(h,b),X0,h,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u22541,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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)) ).

cnf(u26,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,a),X1,ifeq(compose(X0,a),X1,X0,a),a),a) ).

cnf(u17443,hypothesis,
    compose(h,codomain(X0)) = ifeq(codomain(X0),codomain(compose(h,codomain(X0))),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),codomain(compose(h,codomain(X0))))),compose(h,codomain(X0))),compose(h,codomain(X0))) ).

cnf(u704,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(compose(g,a)),domain(b),compose(compose(g,a),compose(codomain(compose(g,a)),b)),compose(h,compose(a,b))) ).

cnf(u43098,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X0))),compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(compose(compose(h,compose(a,b)),codomain(X0))),domain(h),compose(compose(h,compose(a,b)),codomain(X0)),compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X0))),compose(h,compose(a,b))),codomain(X0))),compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X0))),compose(h,compose(a,b))),codomain(X0))) ).

cnf(u27790,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),ifeq(codomain(b),domain(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)))) ).

cnf(u369,hypothesis,
    compose(compose(X0,g),domain(a)) = ifeq(codomain(X0),domain(h),compose(X0,g),compose(compose(X0,g),domain(a))) ).

cnf(u27882,hypothesis,
    compose(compose(h,codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),compose(g,a))),compose(compose(h,codomain(X0)),compose(g,a))),compose(compose(h,codomain(X0)),compose(g,a))) ).

cnf(u17789,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b)) = ifeq(codomain(b),domain(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))) ).

cnf(u9464,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(g,a),X1,g,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u4179,hypothesis,
    compose(compose(X0,compose(g,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),X1)),compose(compose(X0,compose(g,a)),X1)),compose(compose(X0,compose(g,a)),X1)) ).

cnf(u3829,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),a,a,domain(a)),domain(a)),domain(a)) ).

cnf(u15853,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(compose(a,b),a),compose(a,b),h),h),h) ).

cnf(u5915,hypothesis,
    compose(domain(X0),g) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(domain(X0),g)),compose(domain(X0),g)) ).

cnf(u6586,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u8354,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u11,axiom,
    codomain(X1) = ifeq(codomain(X0),domain(X1),codomain(compose(X0,X1)),codomain(X1)) ).

cnf(u34489,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u9080,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(h,compose(h,compose(a,b)))),domain(h)) ).

cnf(u1429,hypothesis,
    domain(b) = ifeq(domain(a),domain(compose(h,a)),codomain(compose(g,compose(h,a))),domain(b)) ).

cnf(u370,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),codomain(compose(a,b))) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(h,compose(a,b))),codomain(compose(a,b)))) ).

cnf(u25401,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X0),a),compose(compose(a,b),a),domain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u7127,hypothesis,
    compose(compose(X0,domain(X1)),compose(g,a)) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(domain(X1),compose(g,a))),compose(compose(X0,domain(X1)),compose(g,a))),compose(compose(X0,domain(X1)),compose(g,a))) ).

cnf(u3885,hypothesis,
    compose(g,g) = ifeq(domain(a),domain(h),compose(domain(h),compose(g,g)),compose(g,g)) ).

cnf(u26151,hypothesis,
    compose(compose(codomain(X0),domain(X1)),compose(a,b)) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(domain(X1),compose(a,b))),compose(compose(codomain(X0),domain(X1)),compose(a,b))),compose(compose(codomain(X0),domain(X1)),compose(a,b))) ).

cnf(u1051,hypothesis,
    domain(a) = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(domain(X0),a),X1,domain(X0),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u1969,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(g,a),compose(X0,a),g,X0),X0) = X0 ).

cnf(u7860,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),b),compose(h,compose(a,b)),domain(X0),compose(h,a)),compose(h,a)) ).

cnf(u35360,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u8339,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(g,a),X0,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u3478,hypothesis,
    codomain(b) = ifeq(codomain(X0),domain(h),codomain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u30018,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u23275,hypothesis,
    compose(compose(compose(a,b),a),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,g)),compose(compose(compose(a,b),a),g)),compose(compose(compose(a,b),a),g)) ).

cnf(u4442,hypothesis,
    compose(g,a) = ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(g,a)) ).

cnf(u6407,hypothesis,
    compose(compose(domain(compose(X0,compose(a,b))),X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(compose(X0,compose(a,b))),domain(X0),compose(X0,compose(a,b)),compose(compose(domain(compose(X0,compose(a,b))),X0),compose(a,b))),compose(compose(domain(compose(X0,compose(a,b))),X0),compose(a,b))) ).

cnf(u246,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(h),codomain(compose(X0,h)),domain(a)) ).

cnf(u833,axiom,
    compose(compose(X1,X2),domain(X0)) = ifeq(codomain(X2),domain(X0),ifeq(codomain(X1),domain(X2),compose(X1,compose(X2,domain(X0))),compose(compose(X1,X2),domain(X0))),compose(compose(X1,X2),domain(X0))) ).

cnf(u475,hypothesis,
    compose(compose(domain(X0),g),compose(a,b)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(a,b))),compose(compose(domain(X0),g),compose(a,b))) ).

cnf(u826,axiom,
    compose(compose(X1,domain(X0)),X0) = ifeq(codomain(X1),domain(X0),compose(X1,X0),compose(compose(X1,domain(X0)),X0)) ).

cnf(u4160,hypothesis,
    compose(compose(a,b),compose(g,a)) = ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))) ).

cnf(u25165,hypothesis,
    compose(compose(compose(h,a),domain(h)),compose(h,a)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),domain(h)),compose(h,a))) ).

cnf(u38392,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),domain(X1))),compose(compose(compose(g,a),codomain(X0)),domain(X1))),compose(compose(compose(g,a),codomain(X0)),domain(X1))) ).

cnf(u422,hypothesis,
    ifeq(codomain(compose(a,b)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),X0),X0),X0),X0) = X0 ).

cnf(u31747,hypothesis,
    compose(compose(domain(X0),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),g)),compose(compose(domain(X0),compose(g,a)),g)),compose(compose(domain(X0),compose(g,a)),g)) ).

cnf(u6821,hypothesis,
    compose(compose(X0,compose(g,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),codomain(X1))),compose(compose(X0,compose(g,a)),codomain(X1))),compose(compose(X0,compose(g,a)),codomain(X1))) ).

cnf(u32581,hypothesis,
    compose(compose(a,b),codomain(X0)) = ifeq(codomain(X0),codomain(compose(compose(a,b),codomain(X0))),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),codomain(compose(compose(a,b),codomain(X0))))),compose(compose(a,b),codomain(X0))),compose(compose(a,b),codomain(X0))) ).

cnf(u1927,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(a),ifeq(domain(X0),domain(b),domain(X0),domain(X0)),domain(X0)) ).

cnf(u253,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(a,X0,domain(a),h),h),h) ).

cnf(u8030,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),a),compose(compose(h,a),a),domain(X0),compose(h,a)),compose(h,a)) ).

cnf(u1515,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(compose(a,b)),domain(a),compose(compose(h,compose(a,b)),compose(a,X0)),compose(compose(compose(h,compose(a,b)),a),X0)),compose(compose(compose(h,compose(a,b)),a),X0)) ).

cnf(u38,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(b,X1,domain(b),X0),X0),X0),X0) = X0 ).

cnf(u4421,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(g,b),h,g),g) ).

cnf(u5087,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(g,a)),compose(g,a)) ).

cnf(u3325,hypothesis,
    compose(compose(domain(X0),compose(a,b)),X1) = ifeq(codomain(b),domain(X1),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),X1)),compose(compose(domain(X0),compose(a,b)),X1)),compose(compose(domain(X0),compose(a,b)),X1)) ).

cnf(u12386,hypothesis,
    compose(compose(h,compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),g)),compose(compose(h,compose(h,a)),g)),compose(compose(h,compose(h,a)),g)) ).

cnf(u39021,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u14843,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(g,compose(compose(a,b),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u10069,hypothesis,
    compose(compose(compose(h,a),h),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,X0)),compose(compose(compose(h,a),h),X0)),compose(compose(compose(h,a),h),X0)) ).

cnf(u1078,hypothesis,
    domain(a) = ifeq(domain(a),domain(h),codomain(compose(g,h)),domain(a)) ).

cnf(u7655,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u6937,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(b),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u38221,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u23,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(a,b),X1,a,X0),X0),X0),X0) = X0 ).

cnf(u17436,hypothesis,
    compose(h,compose(g,a)) = ifeq(domain(b),codomain(compose(h,compose(g,a))),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),codomain(compose(h,compose(g,a))))),compose(h,compose(g,a))),compose(h,compose(g,a))) ).

cnf(u4007,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(h),domain(compose(codomain(X0),compose(h,compose(a,b)))),codomain(X0)) ).

cnf(u15995,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X0),b),compose(h,b),codomain(X0),h),h),h) ).

cnf(u7582,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(a,compose(compose(h,compose(a,b)),a),domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u3610,hypothesis,
    compose(h,X0) = ifeq(codomain(X0),codomain(compose(h,X0)),ifeq(domain(a),domain(X0),compose(h,compose(X0,codomain(compose(h,X0)))),compose(h,X0)),compose(h,X0)) ).

cnf(u8340,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(h,a),X0,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u22006,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),X0)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X0)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X0)) ).

cnf(u6501,hypothesis,
    compose(compose(h,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(compose(h,a),compose(domain(b),compose(a,b))),compose(compose(h,a),compose(a,b))) ).

cnf(u17696,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(compose(a,b),a),compose(a,b),g),g),g) ).

cnf(u6115,hypothesis,
    domain(h) = ifeq(codomain(b),domain(X0),domain(compose(compose(h,compose(a,b)),domain(X0))),domain(h)) ).

cnf(u26197,hypothesis,
    compose(compose(domain(compose(domain(X0),compose(a,b))),domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(compose(domain(X0),compose(a,b))),domain(X0),compose(domain(X0),compose(a,b)),compose(compose(domain(compose(domain(X0),compose(a,b))),domain(X0)),compose(a,b))),compose(compose(domain(compose(domain(X0),compose(a,b))),domain(X0)),compose(a,b))) ).

cnf(u16102,hypothesis,
    compose(compose(a,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),codomain(X0))),compose(compose(a,compose(a,b)),codomain(X0))),compose(compose(a,compose(a,b)),codomain(X0))) ).

cnf(u8474,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(h,a),X0,h,h),h),h) ).

cnf(u21653,hypothesis,
    compose(g,compose(h,a)) = ifeq(domain(b),codomain(compose(g,compose(h,a))),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),codomain(compose(g,compose(h,a))))),compose(g,compose(h,a))),compose(g,compose(h,a))) ).

cnf(u29802,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u11022,hypothesis,
    compose(a,domain(X0)) = ifeq(domain(b),domain(X0),compose(domain(a),compose(a,domain(X0))),compose(a,domain(X0))) ).

cnf(u10367,axiom,
    compose(compose(codomain(X1),X2),domain(X0)) = ifeq(codomain(X2),domain(X0),ifeq(codomain(X1),domain(X2),compose(codomain(X1),compose(X2,domain(X0))),compose(compose(codomain(X1),X2),domain(X0))),compose(compose(codomain(X1),X2),domain(X0))) ).

cnf(u14394,hypothesis,
    domain(b) = ifeq(compose(domain(a),b),b,domain(a),domain(b)) ).

cnf(u37800,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),codomain(X1))),compose(compose(codomain(X0),compose(g,a)),codomain(X1))),compose(compose(codomain(X0),compose(g,a)),codomain(X1))) ).

cnf(u845,axiom,
    compose(X1,domain(X0)) = ifeq(codomain(X1),domain(X0),compose(X1,compose(codomain(X1),domain(X0))),compose(X1,domain(X0))) ).

cnf(u487,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(compose(a,b)),codomain(X0),compose(g,compose(compose(a,b),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u8114,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(h,a),X1,h,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u418,hypothesis,
    codomain(X0) = ifeq(codomain(compose(a,b)),domain(X0),codomain(compose(compose(h,compose(a,b)),X0)),codomain(X0)) ).

cnf(u14674,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u33595,hypothesis,
    compose(compose(domain(compose(g,g)),g),g) = ifeq(domain(a),domain(h),ifeq(domain(compose(g,g)),domain(h),compose(g,g),compose(compose(domain(compose(g,g)),g),g)),compose(compose(domain(compose(g,g)),g),g)) ).

cnf(u8332,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u1385,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),codomain(compose(a,a)),domain(b)) ).

cnf(u17648,hypothesis,
    compose(compose(compose(h,a),h),domain(a)) = ifeq(domain(b),domain(h),compose(compose(h,a),h),compose(compose(compose(h,a),h),domain(a))) ).

cnf(u14064,hypothesis,
    domain(b) = ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(h,a))),domain(b)) ).

cnf(u41400,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u9960,hypothesis,
    domain(h) = ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(g,a))),domain(h)) ).

cnf(u35445,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),domain(X0))),compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X0))),compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X0))) ).

cnf(u24081,hypothesis,
    compose(compose(g,domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),compose(h,a))),compose(compose(g,domain(X0)),compose(h,a))),compose(compose(g,domain(X0)),compose(h,a))) ).

cnf(u10574,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(b)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(b))) ).

cnf(u29964,hypothesis,
    compose(compose(X0,compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),compose(g,a))),compose(compose(X0,compose(h,a)),compose(g,a))),compose(compose(X0,compose(h,a)),compose(g,a))) ).

cnf(u3506,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(b,X1,domain(b),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u2679,hypothesis,
    compose(compose(a,b),domain(X0)) = ifeq(codomain(b),domain(X0),compose(domain(a),compose(compose(a,b),domain(X0))),compose(compose(a,b),domain(X0))) ).

cnf(u9819,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X0,ifeq(compose(a,b),X0,a,h),h),h),h) ).

cnf(u8017,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(codomain(X0),b),codomain(X0),compose(h,a)),compose(h,a)) ).

cnf(u14580,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(domain(h),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u2607,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(X0,b),X1,X0,compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u44765,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(h,a)),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(h,a)),compose(h,compose(a,b)))) ).

cnf(u32195,hypothesis,
    compose(compose(domain(compose(codomain(X0),g)),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(codomain(X0),g)),codomain(X0),compose(codomain(X0),g),compose(compose(domain(compose(codomain(X0),g)),codomain(X0)),g)),compose(compose(domain(compose(codomain(X0),g)),codomain(X0)),g)) ).

cnf(u18974,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(codomain(X0),b),compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u19,hypothesis,
    domain(compose(a,b)) = codomain(g) ).

cnf(u17530,hypothesis,
    compose(compose(codomain(X0),h),compose(a,b)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),h),compose(a,b))) ).

cnf(u6595,hypothesis,
    domain(b) = ifeq(codomain(X1),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(X1,a),X0,X1,domain(b)),domain(b)),domain(b)) ).

cnf(u1955,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X0,a),compose(h,a),X0,h),h),h) ).

cnf(u25231,hypothesis,
    compose(domain(X0),h) = ifeq(domain(a),codomain(compose(domain(X0),h)),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,codomain(compose(domain(X0),h)))),compose(domain(X0),h)),compose(domain(X0),h)) ).

cnf(u2201,hypothesis,
    compose(compose(h,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(h,compose(a,codomain(X0))),compose(compose(h,a),codomain(X0))) ).

cnf(u878,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(b),domain(X0),compose(a,compose(b,X0)),compose(compose(a,b),X0)) ).

cnf(u2660,hypothesis,
    domain(b) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),compose(h,a))),domain(b)) ).

cnf(u38349,hypothesis,
    compose(compose(domain(compose(g,domain(X0))),g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(compose(g,domain(X0))),domain(h),compose(g,domain(X0)),compose(compose(domain(compose(g,domain(X0))),g),domain(X0))),compose(compose(domain(compose(g,domain(X0))),g),domain(X0))) ).

cnf(u38148,hypothesis,
    compose(compose(compose(h,a),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u2588,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(h,compose(a,b)),compose(h,a),X0),X0),X0) = X0 ).

cnf(u14496,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u32158,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),g)),compose(compose(compose(h,compose(a,b)),codomain(X0)),g)),compose(compose(compose(h,compose(a,b)),codomain(X0)),g)) ).

cnf(u13466,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(a,a),a,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u16700,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u22158,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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)) ).

cnf(u31329,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(codomain(X0),a),codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u5324,hypothesis,
    compose(compose(h,compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),X0)),compose(compose(h,compose(h,a)),X0)),compose(compose(h,compose(h,a)),X0)) ).

cnf(u37830,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(X1))),compose(compose(codomain(X0),compose(h,compose(a,b))),codomain(X1))) ).

cnf(u9526,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(a,a),compose(h,a),a),a) ).

cnf(u3907,hypothesis,
    compose(g,codomain(X0)) = ifeq(domain(a),codomain(X0),compose(domain(h),compose(g,codomain(X0))),compose(g,codomain(X0))) ).

cnf(u5750,hypothesis,
    compose(compose(g,h),domain(a)) = ifeq(domain(a),domain(h),compose(g,h),compose(compose(g,h),domain(a))) ).

cnf(u1340,axiom,
    compose(X0,X1) = ifeq(codomain(X0),domain(X1),compose(X0,compose(codomain(X0),X1)),compose(X0,X1)) ).

cnf(u430,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),codomain(X0)) = ifeq(codomain(compose(a,b)),domain(X0),compose(compose(h,compose(a,b)),X0),compose(compose(compose(h,compose(a,b)),X0),codomain(X0))) ).

cnf(u24206,hypothesis,
    compose(compose(compose(g,a),X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,compose(g,a))),compose(compose(compose(g,a),X0),compose(g,a))),compose(compose(compose(g,a),X0),compose(g,a))) ).

cnf(u15727,hypothesis,
    compose(compose(compose(g,a),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,codomain(X0))),compose(compose(compose(g,a),a),codomain(X0))),compose(compose(compose(g,a),a),codomain(X0))) ).

cnf(u133,hypothesis,
    ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(domain(X0),b),X2,domain(X0),X1),X1),X1),X1) = X1 ).

cnf(u4947,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(g,a),g,h),h) ).

cnf(u1410,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),a),a),a) ).

cnf(u21545,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u13607,hypothesis,
    compose(compose(compose(a,b),a),domain(b)) = ifeq(codomain(b),domain(a),compose(compose(a,b),a),compose(compose(compose(a,b),a),domain(b))) ).

cnf(u5728,hypothesis,
    compose(compose(g,g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(g,X0)),compose(compose(g,g),X0)),compose(compose(g,g),X0)) ).

cnf(u2348,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(b),domain(X0),compose(domain(a),compose(compose(a,b),X0)),compose(compose(a,b),X0)) ).

cnf(u22136,hypothesis,
    compose(compose(g,codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),g)),compose(compose(g,codomain(X0)),g)),compose(compose(g,codomain(X0)),g)) ).

cnf(u234,hypothesis,
    domain(a) = codomain(h) ).

cnf(u5906,hypothesis,
    compose(domain(X0),domain(b)) = ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(X0),domain(b))),compose(domain(X0),domain(b))) ).

cnf(u8566,axiom,
    compose(compose(domain(compose(X1,domain(X0))),X1),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(compose(X1,domain(X0))),domain(X1),compose(X1,domain(X0)),compose(compose(domain(compose(X1,domain(X0))),X1),domain(X0))),compose(compose(domain(compose(X1,domain(X0))),X1),domain(X0))) ).

cnf(u17444,hypothesis,
    compose(h,domain(b)) = ifeq(domain(b),codomain(compose(h,domain(b))),ifeq(domain(a),domain(b),compose(h,compose(domain(b),codomain(compose(h,domain(b))))),compose(h,domain(b))),compose(h,domain(b))) ).

cnf(u21681,hypothesis,
    compose(g,compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(g,compose(h,compose(a,b)))),ifeq(domain(a),domain(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)))) ).

cnf(u7362,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u4613,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,b),h,g),g) ).

cnf(u3475,hypothesis,
    codomain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u32022,hypothesis,
    compose(compose(codomain(X0),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,compose(h,a))),compose(compose(codomain(X0),a),compose(h,a))),compose(compose(codomain(X0),a),compose(h,a))) ).

cnf(u10558,hypothesis,
    compose(compose(codomain(X0),domain(h)),compose(g,a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,a)),compose(compose(codomain(X0),domain(h)),compose(g,a))) ).

cnf(u44133,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),compose(h,a))),compose(compose(codomain(X0),compose(g,a)),compose(h,a))),compose(compose(codomain(X0),compose(g,a)),compose(h,a))) ).

cnf(u11316,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(b),domain(X0),compose(domain(h),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u4180,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(h),codomain(compose(X0,compose(g,a))),domain(b)) ).

cnf(u18833,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(domain(X0),codomain(compose(compose(h,compose(a,b)),domain(X0))),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),codomain(compose(compose(h,compose(a,b)),domain(X0))))),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u18953,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(a,b),b),compose(codomain(X0),b),compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u25105,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(a,a),a,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u5907,axiom,
    compose(domain(X1),codomain(X0)) = ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(domain(X1),codomain(X0))),compose(domain(X1),codomain(X0))) ).

cnf(u40365,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),compose(g,a))),compose(compose(codomain(X0),compose(h,a)),compose(g,a))),compose(compose(codomain(X0),compose(h,a)),compose(g,a))) ).

cnf(u20040,hypothesis,
    compose(compose(g,h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(h,compose(h,a))),compose(compose(g,h),compose(h,a))),compose(compose(g,h),compose(h,a))) ).

cnf(u17792,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b))) ).

cnf(u4168,hypothesis,
    domain(b) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),compose(g,a))),domain(b)) ).

cnf(u17677,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,compose(a,b)),compose(g,a),g),g),g) ).

cnf(u1487,hypothesis,
    compose(compose(a,b),X0) = ifeq(codomain(b),domain(X0),ifeq(codomain(compose(a,b)),codomain(b),compose(compose(a,b),compose(codomain(b),X0)),compose(compose(a,b),X0)),compose(compose(a,b),X0)) ).

cnf(u334,axiom,
    compose(compose(domain(X0),X1),codomain(X1)) = ifeq(domain(X0),domain(X1),compose(domain(X0),X1),compose(compose(domain(X0),X1),codomain(X1))) ).

cnf(u125,axiom,
    domain(X0) = domain(domain(X0)) ).

cnf(u3979,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),domain(X0)),compose(compose(compose(h,compose(a,b)),domain(X0)),domain(X0))) ).

cnf(u129,axiom,
    compose(compose(X1,domain(X0)),X2) = ifeq(domain(X0),domain(X2),ifeq(codomain(X1),domain(domain(X0)),compose(X1,compose(domain(X0),X2)),compose(compose(X1,domain(X0)),X2)),compose(compose(X1,domain(X0)),X2)) ).

cnf(u42390,hypothesis,
    compose(compose(domain(compose(g,compose(g,a))),g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(compose(g,compose(g,a))),domain(h),compose(g,compose(g,a)),compose(compose(domain(compose(g,compose(g,a))),g),compose(g,a))),compose(compose(domain(compose(g,compose(g,a))),g),compose(g,a))) ).

cnf(u4850,hypothesis,
    domain(b) = ifeq(compose(g,b),b,g,domain(b)) ).

cnf(u9813,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(a,b),X1,a,codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u10559,hypothesis,
    compose(compose(codomain(X0),domain(h)),compose(h,a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,a)),compose(compose(codomain(X0),domain(h)),compose(h,a))) ).

cnf(u29902,hypothesis,
    compose(compose(domain(X0),domain(b)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),compose(g,a))),compose(compose(domain(X0),domain(b)),compose(g,a))),compose(compose(domain(X0),domain(b)),compose(g,a))) ).

cnf(u17879,hypothesis,
    compose(compose(compose(a,b),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,domain(X0))),compose(compose(compose(a,b),a),domain(X0))),compose(compose(compose(a,b),a),domain(X0))) ).

cnf(u16981,hypothesis,
    compose(compose(codomain(X0),h),g) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,g)),compose(compose(codomain(X0),h),g)),compose(compose(codomain(X0),h),g)) ).

cnf(u5914,hypothesis,
    compose(domain(X0),compose(g,a)) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(domain(X0),compose(g,a))),compose(domain(X0),compose(g,a))) ).

cnf(u17690,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(domain(X0),a),domain(X0),g),g),g) ).

cnf(u6560,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),a,domain(a),compose(g,a)) ).

cnf(u17692,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),g),g),g) ).

cnf(u18090,hypothesis,
    compose(compose(a,compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),codomain(X0))),compose(compose(a,compose(h,a)),codomain(X0))),compose(compose(a,compose(h,a)),codomain(X0))) ).

cnf(u17877,hypothesis,
    compose(compose(compose(h,a),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,domain(X0))),compose(compose(compose(h,a),a),domain(X0))),compose(compose(compose(h,a),a),domain(X0))) ).

cnf(u40154,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),domain(X0))),compose(compose(compose(h,a),compose(h,a)),domain(X0))),compose(compose(compose(h,a),compose(h,a)),domain(X0))) ).

cnf(u11394,hypothesis,
    compose(compose(X0,g),g) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(g,g)),compose(compose(X0,g),g)),compose(compose(X0,g),g)) ).

cnf(u20041,hypothesis,
    compose(compose(g,h),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(h,compose(g,a))),compose(compose(g,h),compose(g,a))),compose(compose(g,h),compose(g,a))) ).

cnf(u6711,hypothesis,
    compose(compose(X0,h),codomain(X1)) = ifeq(domain(a),codomain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(h,codomain(X1))),compose(compose(X0,h),codomain(X1))),compose(compose(X0,h),codomain(X1))) ).

cnf(u22192,hypothesis,
    compose(compose(h,a),a) = ifeq(domain(b),codomain(compose(compose(h,a),a)),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,codomain(compose(compose(h,a),a)))),compose(compose(h,a),a)),compose(compose(h,a),a)) ).

cnf(u11059,hypothesis,
    domain(a) = ifeq(codomain(b),domain(a),codomain(compose(compose(h,compose(a,b)),domain(a))),domain(a)) ).

cnf(u25074,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(a,b),a,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u22423,hypothesis,
    compose(compose(g,g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(g,compose(g,domain(X0))),compose(compose(g,g),domain(X0))),compose(compose(g,g),domain(X0))) ).

cnf(u19608,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(domain(a),b),X1,domain(a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u13518,hypothesis,
    compose(compose(compose(g,a),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u9408,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(a,a),a,domain(b)),domain(b)) ).

cnf(u9365,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X0,ifeq(compose(a,a),X0,a,domain(b)),domain(b)),domain(b)) ).

cnf(u4901,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(g,b),g,compose(a,b)),compose(a,b)) ).

cnf(u5987,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),domain(b),domain(b)) ).

cnf(u18766,hypothesis,
    compose(compose(g,a),a) = ifeq(domain(b),codomain(compose(compose(g,a),a)),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,codomain(compose(compose(g,a),a)))),compose(compose(g,a),a)),compose(compose(g,a),a)) ).

cnf(u23374,hypothesis,
    compose(compose(domain(compose(h,g)),h),g) = ifeq(domain(a),domain(h),ifeq(domain(compose(h,g)),domain(h),compose(h,g),compose(compose(domain(compose(h,g)),h),g)),compose(compose(domain(compose(h,g)),h),g)) ).

cnf(u8069,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,a),a),compose(compose(a,b),a),compose(a,b),compose(h,a)),compose(h,a)) ).

cnf(u14789,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(codomain(X0),b),X2,codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u7136,axiom,
    compose(compose(X1,domain(X2)),domain(X0)) = ifeq(domain(X2),domain(X0),ifeq(codomain(X1),domain(X2),compose(X1,compose(domain(X2),domain(X0))),compose(compose(X1,domain(X2)),domain(X0))),compose(compose(X1,domain(X2)),domain(X0))) ).

cnf(u20557,hypothesis,
    compose(compose(X0,compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(X0,compose(h,a)),compose(h,compose(a,b)))),compose(compose(X0,compose(h,a)),compose(h,compose(a,b)))) ).

cnf(u6366,hypothesis,
    compose(compose(compose(a,b),X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,compose(a,b))),compose(compose(compose(a,b),X0),compose(a,b))),compose(compose(compose(a,b),X0),compose(a,b))) ).

cnf(u8400,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(a,b),X0,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u19818,hypothesis,
    compose(compose(compose(g,a),h),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,g)),compose(compose(compose(g,a),h),g)),compose(compose(compose(g,a),h),g)) ).

cnf(u7611,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X0,b),compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u9587,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),g),g),g),g) ).

cnf(u21663,hypothesis,
    compose(g,g) = ifeq(domain(a),codomain(compose(g,g)),ifeq(domain(a),domain(h),compose(g,compose(g,codomain(compose(g,g)))),compose(g,g)),compose(g,g)) ).

cnf(u2041,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(g,b),compose(X0,b),g,X0),X0) = X0 ).

cnf(u51522,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(h,compose(a,b)),compose(g,a))),domain(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(domain(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a))) ).

cnf(u4157,hypothesis,
    compose(compose(h,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(h,compose(a,compose(g,a))),compose(compose(h,a),compose(g,a))) ).

cnf(u5666,hypothesis,
    compose(compose(g,X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(X0,compose(h,compose(a,b)))),compose(compose(g,X0),compose(h,compose(a,b)))),compose(compose(g,X0),compose(h,compose(a,b)))) ).

cnf(u8411,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(h,b),X0,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u23776,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(domain(a),b),domain(a),X0),X0) = X0 ).

cnf(u11711,hypothesis,
    compose(compose(h,h),compose(a,b)) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,h),compose(a,b))) ).

cnf(u16250,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(h,a))),domain(b)) ).

cnf(u659,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,b),compose(X0,b),X0,a),a) ).

cnf(u27876,hypothesis,
    compose(compose(h,codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),compose(a,b))),compose(compose(h,codomain(X0)),compose(a,b))),compose(compose(h,codomain(X0)),compose(a,b))) ).

cnf(u17662,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),g),g),g) ).

cnf(u2183,hypothesis,
    domain(X0) = ifeq(domain(a),domain(X0),codomain(compose(h,domain(X0))),domain(X0)) ).

cnf(u44970,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),compose(h,a))),compose(compose(compose(h,a),codomain(X0)),compose(h,a))),compose(compose(compose(h,a),codomain(X0)),compose(h,a))) ).

cnf(u12349,hypothesis,
    a = ifeq(compose(a,b),X0,ifeq(compose(domain(a),b),X0,domain(a),a),a) ).

cnf(u33898,hypothesis,
    compose(compose(a,b),compose(a,b)) = ifeq(codomain(b),codomain(compose(compose(a,b),compose(a,b))),ifeq(codomain(b),domain(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))) ).

cnf(u40048,hypothesis,
    compose(compose(domain(compose(codomain(X0),compose(g,a))),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(codomain(X0),compose(g,a))),codomain(X0),compose(codomain(X0),compose(g,a)),compose(compose(domain(compose(codomain(X0),compose(g,a))),codomain(X0)),compose(g,a))),compose(compose(domain(compose(codomain(X0),compose(g,a))),codomain(X0)),compose(g,a))) ).

cnf(u9758,hypothesis,
    compose(h,codomain(X0)) = ifeq(domain(a),codomain(X0),compose(domain(h),compose(h,codomain(X0))),compose(h,codomain(X0))) ).

cnf(u1699,hypothesis,
    compose(X0,compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),compose(domain(X0),compose(X0,compose(h,compose(a,b)))),compose(X0,compose(h,compose(a,b)))) ).

cnf(u27622,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),X0)),compose(compose(compose(a,b),compose(g,a)),X0)),compose(compose(compose(a,b),compose(g,a)),X0)) ).

cnf(u13463,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(compose(h,a),a),compose(h,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u12685,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(b,compose(domain(X0),b),domain(b),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u2367,hypothesis,
    compose(compose(a,domain(a)),compose(a,b)) = ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,domain(a)),compose(a,b))) ).

cnf(u39335,hypothesis,
    compose(compose(a,compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u3823,hypothesis,
    domain(a) = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X0),a),a,domain(X0),domain(a)),domain(a)),domain(a)) ).

cnf(u18798,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),domain(b))),compose(compose(compose(h,compose(a,b)),domain(X0)),domain(b))),compose(compose(compose(h,compose(a,b)),domain(X0)),domain(b))) ).

cnf(u1827,hypothesis,
    compose(compose(g,codomain(X0)),codomain(X0)) = ifeq(domain(a),codomain(X0),compose(g,codomain(X0)),compose(compose(g,codomain(X0)),codomain(X0))) ).

cnf(u3600,hypothesis,
    compose(X0,h) = ifeq(domain(a),codomain(compose(X0,h)),ifeq(codomain(X0),domain(h),compose(X0,compose(h,codomain(compose(X0,h)))),compose(X0,h)),compose(X0,h)) ).

cnf(u6414,hypothesis,
    compose(compose(X0,compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),compose(a,b))),compose(compose(X0,compose(g,a)),compose(a,b))),compose(compose(X0,compose(g,a)),compose(a,b))) ).

cnf(u256,hypothesis,
    compose(compose(h,domain(X0)),X0) = ifeq(domain(a),domain(X0),compose(h,X0),compose(compose(h,domain(X0)),X0)) ).

cnf(u1150,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(b,X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),domain(b)),domain(b)),domain(b)) ).

cnf(u17874,hypothesis,
    compose(compose(codomain(X0),a),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,domain(X1))),compose(compose(codomain(X0),a),domain(X1))),compose(compose(codomain(X0),a),domain(X1))) ).

cnf(u11030,hypothesis,
    compose(a,compose(h,a)) = ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(h,a))),compose(a,compose(h,a))) ).

cnf(u41086,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u35037,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),codomain(X0))),compose(compose(compose(a,b),compose(g,a)),codomain(X0))),compose(compose(compose(a,b),compose(g,a)),codomain(X0))) ).

cnf(u7157,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),X1)),compose(compose(compose(h,compose(a,b)),domain(X0)),X1)),compose(compose(compose(h,compose(a,b)),domain(X0)),X1)) ).

cnf(u2592,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),X0),X0),X0),X0) = X0 ).

cnf(u31285,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),b) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(g,a)),b)) ).

cnf(u2304,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(a,b),b),compose(X0,b),compose(a,b),X0),X0),X0) = X0 ).

cnf(u7854,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(h,a)),compose(h,a)) ).

cnf(u17437,hypothesis,
    compose(h,compose(h,a)) = ifeq(domain(b),codomain(compose(h,compose(h,a))),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),codomain(compose(h,compose(h,a))))),compose(h,compose(h,a))),compose(h,compose(h,a))) ).

cnf(u1444,hypothesis,
    compose(compose(a,b),g) = ifeq(codomain(b),domain(h),compose(a,compose(b,g)),compose(compose(a,b),g)) ).

cnf(u3473,hypothesis,
    codomain(b) = ifeq(domain(a),domain(h),codomain(compose(h,compose(h,compose(a,b)))),codomain(b)) ).

cnf(u27276,hypothesis,
    compose(compose(g,codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),domain(b))),compose(compose(g,codomain(X0)),domain(b))),compose(compose(g,codomain(X0)),domain(b))) ).

cnf(u25489,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(a,b),compose(compose(a,b),b),a,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u31580,hypothesis,
    compose(compose(a,compose(h,a)),b) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,a)),b)) ).

cnf(u11063,hypothesis,
    codomain(compose(h,compose(a,b))) = codomain(b) ).

cnf(u2122,hypothesis,
    compose(compose(h,compose(a,b)),X0) = ifeq(codomain(compose(domain(a),compose(a,b))),domain(X0),ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(g,compose(compose(domain(a),compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)),compose(compose(h,compose(a,b)),X0)) ).

cnf(u17977,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)) ).

cnf(u13519,hypothesis,
    compose(compose(compose(a,b),a),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u1998,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),b),compose(X0,b),X0,compose(h,a)),compose(h,a)) ).

cnf(u5,axiom,
    codomain(X0) = domain(codomain(X0)) ).

cnf(u671,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,a),compose(X0,a),X0,a),a) ).

cnf(u13196,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(h,a))),domain(b)) ).

cnf(u2665,hypothesis,
    compose(compose(X0,compose(h,a)),domain(b)) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,a)),compose(compose(X0,compose(h,a)),domain(b))) ).

cnf(u27773,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(X0),codomain(compose(compose(h,compose(a,b)),codomain(X0))),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),codomain(compose(compose(h,compose(a,b)),codomain(X0))))),compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u23731,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u2544,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(h,compose(a,b)))),domain(a)) ).

cnf(u28145,hypothesis,
    compose(compose(h,g),compose(g,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(g,compose(g,a))),compose(compose(h,g),compose(g,a))),compose(compose(h,g),compose(g,a))) ).

cnf(u103,hypothesis,
    codomain(X0) = ifeq(codomain(h),domain(X0),codomain(compose(g,X0)),codomain(X0)) ).

cnf(u15825,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(compose(a,b),b),compose(a,b),h),h),h) ).

cnf(u2235,hypothesis,
    domain(b) = ifeq(domain(b),domain(compose(h,a)),codomain(compose(a,compose(h,a))),domain(b)) ).

cnf(u11434,hypothesis,
    compose(compose(X0,g),domain(b)) = ifeq(domain(a),domain(b),ifeq(codomain(X0),domain(h),compose(X0,compose(g,domain(b))),compose(compose(X0,g),domain(b))),compose(compose(X0,g),domain(b))) ).

cnf(u2255,hypothesis,
    domain(a) = ifeq(domain(b),domain(h),codomain(compose(a,g)),domain(a)) ).

cnf(u27166,hypothesis,
    compose(compose(domain(X0),compose(h,compose(a,b))),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(domain(X0),compose(h,compose(a,b))),codomain(X1))),compose(compose(domain(X0),compose(h,compose(a,b))),codomain(X1))) ).

cnf(u14017,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),h),h),h),h) ).

cnf(u106,axiom,
    codomain(codomain(X0)) = ifeq(codomain(X1),codomain(X0),codomain(compose(X1,codomain(X0))),codomain(codomain(X0))) ).

cnf(u1408,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(compose(h,a),b),X1,compose(h,a),X0),X0),X0),X0) = X0 ).

cnf(u7674,hypothesis,
    compose(g,a) = ifeq(compose(compose(g,a),a),X0,ifeq(compose(h,a),X0,h,compose(g,a)),compose(g,a)) ).

cnf(u19808,hypothesis,
    compose(compose(compose(g,a),h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,domain(X0))),compose(compose(compose(g,a),h),domain(X0))),compose(compose(compose(g,a),h),domain(X0))) ).

cnf(u33383,hypothesis,
    compose(compose(domain(compose(compose(a,b),domain(b))),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(compose(compose(a,b),domain(b))),domain(a),compose(compose(a,b),domain(b)),compose(compose(domain(compose(compose(a,b),domain(b))),compose(a,b)),domain(b))),compose(compose(domain(compose(compose(a,b),domain(b))),compose(a,b)),domain(b))) ).

cnf(u17336,hypothesis,
    compose(compose(h,g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(g,domain(X0))),compose(compose(h,g),domain(X0))),compose(compose(h,g),domain(X0))) ).

cnf(u16958,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(domain(X1),b),domain(X1),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u321,hypothesis,
    compose(compose(X0,X1),g) = ifeq(codomain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,g)),compose(compose(X0,X1),g)),compose(compose(X0,X1),g)) ).

cnf(u10168,hypothesis,
    compose(compose(g,a),compose(h,a)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),compose(h,a))),compose(compose(g,a),compose(h,a))) ).

cnf(u2988,hypothesis,
    domain(h) = ifeq(domain(b),codomain(X0),domain(compose(compose(h,a),codomain(X0))),domain(h)) ).

cnf(u28569,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),X0)),compose(compose(compose(h,a),compose(h,a)),X0)),compose(compose(compose(h,a),compose(h,a)),X0)) ).

cnf(u18919,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(compose(h,a),a),compose(codomain(X0),a),compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u38837,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u19678,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(h,compose(a,b)),compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u38074,hypothesis,
    compose(compose(domain(X0),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,compose(h,compose(a,b)))),compose(compose(domain(X0),g),compose(h,compose(a,b)))),compose(compose(domain(X0),g),compose(h,compose(a,b)))) ).

cnf(u3909,hypothesis,
    compose(g,domain(X0)) = ifeq(domain(a),domain(X0),compose(domain(h),compose(g,domain(X0))),compose(g,domain(X0))) ).

cnf(u34316,hypothesis,
    compose(compose(domain(compose(compose(a,b),domain(X0))),compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(domain(compose(compose(a,b),domain(X0))),domain(a),compose(compose(a,b),domain(X0)),compose(compose(domain(compose(compose(a,b),domain(X0))),compose(a,b)),domain(X0))),compose(compose(domain(compose(compose(a,b),domain(X0))),compose(a,b)),domain(X0))) ).

cnf(u29397,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),domain(b))),compose(compose(compose(h,a),compose(a,b)),domain(b))),compose(compose(compose(h,a),compose(a,b)),domain(b))) ).

cnf(u9342,hypothesis,
    domain(h) = ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(h,a))),domain(h)) ).

cnf(u5530,hypothesis,
    compose(compose(a,a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(a),compose(a,compose(a,compose(h,a))),compose(compose(a,a),compose(h,a))),compose(compose(a,a),compose(h,a))) ).

cnf(u38976,hypothesis,
    compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u1131,hypothesis,
    domain(a) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),domain(a)),domain(a)),domain(a)),domain(a)) ).

cnf(u1921,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(g,a),a),compose(X0,a),X0,compose(g,a)),compose(g,a)) ).

cnf(u19656,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(compose(a,b),b),compose(a,b),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u5106,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(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)) ).

cnf(u2134,hypothesis,
    compose(compose(X0,g),compose(domain(a),compose(a,b))) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,g),compose(domain(a),compose(a,b)))),compose(compose(X0,g),compose(domain(a),compose(a,b)))) ).

cnf(u5427,hypothesis,
    compose(compose(h,compose(h,a)),domain(b)) = ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,compose(h,a)),domain(b))) ).

cnf(u10160,hypothesis,
    compose(compose(g,a),domain(X0)) = ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(b),domain(X0))),compose(compose(g,a),domain(X0))) ).

cnf(u3229,hypothesis,
    compose(compose(domain(X0),X1),compose(a,b)) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,compose(a,b))),compose(compose(domain(X0),X1),compose(a,b))),compose(compose(domain(X0),X1),compose(a,b))) ).

cnf(ifeq_axiom,axiom,
    ifeq(X0,X0,X1,X2) = X1 ).

cnf(u14016,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),h),h),h),h) ).

cnf(u667,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,a),X0,ifeq(compose(a,a),X0,a,a),a),a) ).

cnf(u2029,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(X0,b),compose(g,a),X0),X0),X0) = X0 ).

cnf(u33581,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),g) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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)) ).

cnf(u4153,hypothesis,
    compose(compose(a,b),compose(g,a)) = ifeq(codomain(b),domain(h),compose(a,compose(b,compose(g,a))),compose(compose(a,b),compose(g,a))) ).

cnf(u40163,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u26467,hypothesis,
    compose(compose(compose(g,a),domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain(X0)),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain(X0)),compose(h,compose(a,b)))) ).

cnf(u2605,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,b),compose(h,compose(a,b)),X0,compose(h,a)),compose(h,a)) ).

cnf(u8894,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(domain(X0),b),X1,domain(X0),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u7130,hypothesis,
    compose(compose(X0,domain(X1)),compose(h,compose(a,b))) = ifeq(domain(X1),domain(h),ifeq(codomain(X0),domain(X1),compose(X0,compose(domain(X1),compose(h,compose(a,b)))),compose(compose(X0,domain(X1)),compose(h,compose(a,b)))),compose(compose(X0,domain(X1)),compose(h,compose(a,b)))) ).

cnf(u18916,hypothesis,
    codomain(X1) = ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X0),a),compose(codomain(X1),a),codomain(X0),codomain(X1)),codomain(X1)),codomain(X1)) ).

cnf(u2007,hypothesis,
    ifeq(codomain(X0),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X0),b),compose(X1,b),codomain(X0),X1),X1),X1) = X1 ).

cnf(u23623,hypothesis,
    compose(compose(compose(h,a),h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,domain(X0))),compose(compose(compose(h,a),h),domain(X0))),compose(compose(compose(h,a),h),domain(X0))) ).

cnf(u8863,hypothesis,
    h = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(domain(X0),b),X1,domain(X0),h),h),h),h) ).

cnf(u1400,hypothesis,
    compose(h,a) = compose(compose(h,a),domain(b)) ).

cnf(u118,hypothesis,
    codomain(compose(a,b)) = codomain(compose(h,compose(a,b))) ).

cnf(u7382,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u43193,hypothesis,
    compose(compose(a,compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u27629,hypothesis,
    compose(compose(X0,compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(g,a),compose(h,a))),compose(compose(X0,compose(g,a)),compose(h,a))),compose(compose(X0,compose(g,a)),compose(h,a))) ).

cnf(u8405,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(domain(X0),b),X1,domain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u19814,hypothesis,
    compose(compose(compose(g,a),h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u29128,hypothesis,
    compose(compose(g,a),codomain(X0)) = ifeq(codomain(X0),codomain(compose(compose(g,a),codomain(X0))),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),codomain(compose(compose(g,a),codomain(X0))))),compose(compose(g,a),codomain(X0))),compose(compose(g,a),codomain(X0))) ).

cnf(u333,hypothesis,
    domain(h) = ifeq(domain(a),domain(X0),domain(compose(g,X0)),domain(h)) ).

cnf(u13330,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(domain(X0),b),domain(X0),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u6622,hypothesis,
    compose(a,compose(h,a)) = ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(h,a))),compose(a,compose(h,a))) ).

cnf(u7855,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),compose(h,compose(a,b)),compose(a,b),compose(h,a)),compose(h,a)) ).

cnf(u17043,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),g) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),g)),compose(compose(codomain(X0),compose(h,compose(a,b))),g)),compose(compose(codomain(X0),compose(h,compose(a,b))),g)) ).

cnf(u7941,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),X1)),compose(compose(compose(g,a),codomain(X0)),X1)),compose(compose(compose(g,a),codomain(X0)),X1)) ).

cnf(u24379,hypothesis,
    compose(compose(compose(g,a),compose(h,a)),domain(b)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),compose(h,a)),domain(b))) ).

cnf(u3951,hypothesis,
    compose(compose(compose(a,b),domain(X0)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(compose(a,b),domain(X0)),compose(compose(compose(a,b),domain(X0)),domain(X0))) ).

cnf(u22431,hypothesis,
    compose(compose(g,g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(g,compose(g,compose(h,a))),compose(compose(g,g),compose(h,a))),compose(compose(g,g),compose(h,a))) ).

cnf(u10601,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,a),a,domain(a),g),g) ).

cnf(u29677,hypothesis,
    compose(compose(a,b),domain(X0)) = ifeq(domain(X0),codomain(compose(compose(a,b),domain(X0))),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),codomain(compose(compose(a,b),domain(X0))))),compose(compose(a,b),domain(X0))),compose(compose(a,b),domain(X0))) ).

cnf(u1373,axiom,
    compose(compose(codomain(X0),domain(X1)),X1) = ifeq(codomain(X0),domain(X1),compose(codomain(X0),X1),compose(compose(codomain(X0),domain(X1)),X1)) ).

cnf(u10530,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),b) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(a,b))),compose(compose(codomain(X0),compose(h,a)),b)) ).

cnf(u6610,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(h,a),X1,h,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u946,hypothesis,
    codomain(compose(a,b)) = ifeq(codomain(X0),domain(a),codomain(compose(X0,compose(a,b))),codomain(compose(a,b))) ).

cnf(u15679,hypothesis,
    compose(compose(compose(a,b),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u8269,hypothesis,
    compose(compose(a,g),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(g,domain(X0))),compose(compose(a,g),domain(X0))),compose(compose(a,g),domain(X0))) ).

cnf(u6538,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(compose(g,a),a),compose(domain(X0),a),domain(X0),compose(g,a)),compose(g,a)) ).

cnf(u11117,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),X0),X0),X0) = X0 ).

cnf(u2289,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(a,X0,domain(a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u24509,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),codomain(X0))),compose(compose(h,compose(h,compose(a,b))),codomain(X0))),compose(compose(h,compose(h,compose(a,b))),codomain(X0))) ).

cnf(u19884,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(domain(a),b),domain(a),h),h) ).

cnf(u2344,hypothesis,
    codomain(b) = ifeq(domain(X0),domain(a),codomain(compose(domain(X0),compose(a,b))),codomain(b)) ).

cnf(u18954,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(a,b),compose(codomain(X0),b),a,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u5816,hypothesis,
    compose(compose(g,compose(g,a)),domain(b)) = ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,compose(g,a)),domain(b))) ).

cnf(u23777,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(domain(a),b),compose(X0,b),domain(a),X0),X0) = X0 ).

cnf(u17534,hypothesis,
    compose(compose(compose(g,a),h),compose(a,b)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),h),compose(a,b))) ).

cnf(u14675,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(domain(b),domain(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))) ).

cnf(u1122,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(compose(g,a)),codomain(compose(X0,compose(g,a))),domain(b)) ).

cnf(u22815,hypothesis,
    compose(compose(domain(X0),h),a) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,a)),compose(compose(domain(X0),h),a)) ).

cnf(u1124,hypothesis,
    compose(compose(compose(g,a),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,X1)),compose(compose(compose(g,a),X0),X1)),compose(compose(compose(g,a),X0),X1)) ).

cnf(u16789,hypothesis,
    compose(compose(a,h),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u4150,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(g,compose(g,a))),domain(h)) ).

cnf(u2206,hypothesis,
    compose(compose(h,a),g) = ifeq(domain(b),domain(h),compose(h,compose(a,g)),compose(compose(h,a),g)) ).

cnf(u1047,hypothesis,
    compose(compose(a,domain(h)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,domain(h)),compose(h,compose(a,b)))) ).

cnf(u7868,hypothesis,
    compose(h,a) = ifeq(codomain(b),domain(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)) ).

cnf(u1965,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,a),compose(compose(h,a),a),X0,compose(h,a)),compose(h,a)) ).

cnf(u23507,hypothesis,
    compose(compose(compose(g,a),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),domain(b))),compose(compose(compose(g,a),domain(X0)),domain(b))),compose(compose(compose(g,a),domain(X0)),domain(b))) ).

cnf(u38076,hypothesis,
    compose(compose(domain(X0),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,compose(h,a))),compose(compose(domain(X0),g),compose(h,a))),compose(compose(domain(X0),g),compose(h,a))) ).

cnf(u1151,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),a),a),a) ).

cnf(u660,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(X0,b),compose(a,b),X0,a),a) ).

cnf(u17531,hypothesis,
    compose(compose(compose(h,compose(a,b)),h),compose(a,b)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),h),compose(a,b))) ).

cnf(u15671,hypothesis,
    compose(compose(compose(a,b),h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,domain(X0))),compose(compose(compose(a,b),h),domain(X0))),compose(compose(compose(a,b),h),domain(X0))) ).

cnf(u37806,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),codomain(X1)) = ifeq(codomain(b),codomain(X1),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),codomain(X1))),compose(compose(codomain(X0),compose(a,b)),codomain(X1))),compose(compose(codomain(X0),compose(a,b)),codomain(X1))) ).

cnf(u14815,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u13363,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),compose(h,compose(a,b)),compose(g,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u3514,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(b,X0,domain(b),g),g),g),g) ).

cnf(u18849,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(h)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),domain(h)),compose(g,a))) ).

cnf(u5405,hypothesis,
    compose(compose(h,codomain(X0)),codomain(X0)) = ifeq(domain(a),codomain(X0),compose(h,codomain(X0)),compose(compose(h,codomain(X0)),codomain(X0))) ).

cnf(u29859,hypothesis,
    compose(compose(codomain(X0),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,compose(h,a))),compose(compose(codomain(X0),h),compose(h,a))),compose(compose(codomain(X0),h),compose(h,a))) ).

cnf(u2687,hypothesis,
    compose(compose(a,b),g) = ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),g)),compose(compose(a,b),g)) ).

cnf(u24082,hypothesis,
    compose(compose(g,domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(domain(X0),compose(g,a))),compose(compose(g,domain(X0)),compose(g,a))),compose(compose(g,domain(X0)),compose(g,a))) ).

cnf(u25941,hypothesis,
    compose(compose(domain(X0),domain(b)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),domain(X1))),compose(compose(domain(X0),domain(b)),domain(X1))),compose(compose(domain(X0),domain(b)),domain(X1))) ).

cnf(u99,axiom,
    compose(compose(X1,codomain(X0)),X2) = ifeq(codomain(codomain(X0)),domain(X2),ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X0),X2)),compose(compose(X1,codomain(X0)),X2)),compose(compose(X1,codomain(X0)),X2)) ).

cnf(u5724,hypothesis,
    compose(compose(g,domain(b)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(b),compose(g,compose(domain(b),X0)),compose(compose(g,domain(b)),X0)),compose(compose(g,domain(b)),X0)) ).

cnf(u15584,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),codomain(b)) = ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),compose(a,b)),codomain(b))) ).

cnf(u23768,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(domain(a),b),X0,domain(a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u2281,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),X0),X0),X0),X0) = X0 ).

cnf(u27137,axiom,
    compose(compose(domain(X1),codomain(X0)),codomain(X2)) = ifeq(codomain(X0),codomain(X2),ifeq(domain(X1),codomain(X0),compose(domain(X1),compose(codomain(X0),codomain(X2))),compose(compose(domain(X1),codomain(X0)),codomain(X2))),compose(compose(domain(X1),codomain(X0)),codomain(X2))) ).

cnf(u958,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(X0),domain(a),codomain(compose(domain(X0),compose(a,b))),codomain(compose(a,b))) ).

cnf(u3388,hypothesis,
    compose(compose(domain(X0),compose(g,a)),domain(b)) = ifeq(domain(X0),domain(compose(g,a)),compose(domain(X0),compose(g,a)),compose(compose(domain(X0),compose(g,a)),domain(b))) ).

cnf(u4271,axiom,
    codomain(X0) = ifeq(codomain(X1),codomain(X0),codomain(compose(codomain(X1),codomain(X0))),codomain(X0)) ).

cnf(u5538,hypothesis,
    compose(a,a) = ifeq(domain(b),codomain(compose(a,a)),ifeq(domain(b),domain(a),compose(a,compose(a,codomain(compose(a,a)))),compose(a,a)),compose(a,a)) ).

cnf(u1439,hypothesis,
    compose(compose(a,b),domain(X0)) = ifeq(codomain(b),domain(X0),compose(a,compose(b,domain(X0))),compose(compose(a,b),domain(X0))) ).

cnf(u20034,hypothesis,
    compose(compose(g,h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(a),domain(h),compose(g,compose(h,codomain(X0))),compose(compose(g,h),codomain(X0))),compose(compose(g,h),codomain(X0))) ).

cnf(u661,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),X0,ifeq(b,X0,domain(b),a),a),a) ).

cnf(u2668,hypothesis,
    compose(compose(h,a),X0) = ifeq(domain(b),domain(X0),compose(domain(h),compose(compose(h,a),X0)),compose(compose(h,a),X0)) ).

cnf(u24073,hypothesis,
    compose(compose(g,domain(X1)),domain(X0)) = ifeq(domain(X1),domain(X0),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),domain(X0))),compose(compose(g,domain(X1)),domain(X0))),compose(compose(g,domain(X1)),domain(X0))) ).

cnf(u2800,hypothesis,
    compose(compose(codomain(X0),domain(a)),compose(a,b)) = ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(a,b)),compose(compose(codomain(X0),domain(a)),compose(a,b))) ).

cnf(u20508,hypothesis,
    compose(compose(compose(g,a),X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,compose(h,compose(a,b)))),compose(compose(compose(g,a),X0),compose(h,compose(a,b)))),compose(compose(compose(g,a),X0),compose(h,compose(a,b)))) ).

cnf(u1562,hypothesis,
    compose(compose(g,a),g) = ifeq(domain(b),domain(h),compose(g,compose(a,g)),compose(compose(g,a),g)) ).

cnf(u26155,hypothesis,
    compose(compose(compose(g,a),domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),compose(a,b))),compose(compose(compose(g,a),domain(X0)),compose(a,b))),compose(compose(compose(g,a),domain(X0)),compose(a,b))) ).

cnf(u25522,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(a,a),compose(compose(a,b),a),a,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u4817,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(compose(g,b),compose(domain(X0),b),g,domain(X0)),domain(X0)) ).

cnf(u6581,hypothesis,
    domain(X1) = ifeq(domain(X0),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(domain(X0),a),X2,domain(X0),domain(X1)),domain(X1)),domain(X1)),domain(X1)) ).

cnf(u51500,hypothesis,
    compose(compose(domain(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(h,a),compose(g,a))),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(domain(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a))),compose(compose(domain(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a))) ).

cnf(u11174,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),X0) = ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),X0),compose(compose(compose(h,compose(a,b)),domain(X0)),X0)) ).

cnf(u1234,hypothesis,
    domain(a) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),h)),domain(a)) ).

cnf(u6509,hypothesis,
    compose(compose(h,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(domain(h),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))) ).

cnf(u15697,hypothesis,
    compose(compose(compose(a,b),h),domain(a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),h),compose(compose(compose(a,b),h),domain(a))) ).

cnf(u4945,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(g,a),g,compose(a,b)),compose(a,b)) ).

cnf(u9862,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,compose(a,b)),X0,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u2015,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X1,b),compose(codomain(X0),b),X1,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u8352,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) ).

cnf(u213,hypothesis,
    domain(X0) = ifeq(codomain(X0),codomain(h),domain(compose(X0,compose(a,b))),domain(X0)) ).

cnf(u14242,hypothesis,
    compose(compose(X0,compose(h,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),domain(X1))),compose(compose(X0,compose(h,a)),domain(X1))),compose(compose(X0,compose(h,a)),domain(X1))) ).

cnf(u3950,hypothesis,
    compose(compose(compose(g,a),domain(X0)),domain(X0)) = ifeq(domain(b),domain(X0),compose(compose(g,a),domain(X0)),compose(compose(compose(g,a),domain(X0)),domain(X0))) ).

cnf(u19351,hypothesis,
    compose(compose(h,domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(X0),compose(h,compose(domain(X0),compose(a,b))),compose(compose(h,domain(X0)),compose(a,b))),compose(compose(h,domain(X0)),compose(a,b))) ).

cnf(u1119,hypothesis,
    compose(g,a) = compose(compose(g,a),domain(b)) ).

cnf(u6719,hypothesis,
    compose(compose(compose(a,b),X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,codomain(X1))),compose(compose(compose(a,b),X0),codomain(X1))),compose(compose(compose(a,b),X0),codomain(X1))) ).

cnf(u7630,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u1253,hypothesis,
    domain(a) = ifeq(domain(X0),domain(h),codomain(compose(domain(X0),g)),domain(a)) ).

cnf(u2236,hypothesis,
    domain(b) = ifeq(domain(b),domain(compose(g,a)),codomain(compose(a,compose(g,a))),domain(b)) ).

cnf(u25048,hypothesis,
    compose(compose(compose(h,a),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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)))) ).

cnf(u1962,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X0,a),compose(g,a),X0,g),g),g) ).

cnf(u14602,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,compose(a,b)))) ).

cnf(u13603,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),domain(b)) = ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),a),compose(compose(compose(h,compose(a,b)),a),domain(b))) ).

cnf(u19652,hypothesis,
    codomain(X0) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u8861,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(domain(X0),b),X1,domain(X0),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u111,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),codomain(compose(X0,a)),domain(b)) ).

cnf(u31748,hypothesis,
    compose(compose(domain(X0),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),g)),compose(compose(domain(X0),compose(h,a)),g)),compose(compose(domain(X0),compose(h,a)),g)) ).

cnf(u22816,hypothesis,
    compose(compose(codomain(X0),h),a) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(h,a)),compose(compose(codomain(X0),h),a)) ).

cnf(u5471,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(compose(a,b),b),compose(a,b),compose(g,a)),compose(g,a)) ).

cnf(u1578,hypothesis,
    compose(compose(g,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(g,compose(a,compose(a,b))),compose(compose(g,a),compose(a,b))) ).

cnf(u26363,hypothesis,
    compose(compose(compose(g,a),domain(X0)),domain(X1)) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),domain(X1))),compose(compose(compose(g,a),domain(X0)),domain(X1))),compose(compose(compose(g,a),domain(X0)),domain(X1))) ).

cnf(u3607,hypothesis,
    compose(compose(g,a),X0) = ifeq(codomain(X0),codomain(compose(compose(g,a),X0)),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,codomain(compose(compose(g,a),X0)))),compose(compose(g,a),X0)),compose(compose(g,a),X0)) ).

cnf(u5402,hypothesis,
    compose(compose(h,compose(h,a)),b) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,a)),b)) ).

cnf(u6832,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,codomain(X1))),compose(compose(compose(h,compose(a,b)),X0),codomain(X1))),compose(compose(compose(h,compose(a,b)),X0),codomain(X1))) ).

cnf(u18800,hypothesis,
    compose(compose(compose(h,compose(a,b)),domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(domain(X0),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain(X0)),compose(a,b))) ).

cnf(u35161,hypothesis,
    compose(compose(h,compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u33584,hypothesis,
    compose(compose(compose(g,a),g),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,g)),compose(compose(compose(g,a),g),g)),compose(compose(compose(g,a),g),g)) ).

cnf(u186,hypothesis,
    compose(X0,compose(a,b)) = ifeq(codomain(X0),codomain(h),compose(domain(X0),compose(X0,compose(a,b))),compose(X0,compose(a,b))) ).

cnf(u11322,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),X1) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)),compose(compose(X0,compose(h,compose(a,b))),X1)) ).

cnf(u12655,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(a,b),compose(domain(X0),b),a,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u51837,hypothesis,
    compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),domain(h),compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b)))) ).

cnf(u92,hypothesis,
    compose(compose(g,a),b) = ifeq(codomain(h),domain(a),compose(h,compose(a,b)),compose(compose(g,a),b)) ).

cnf(u1516,hypothesis,
    compose(compose(compose(h,a),a),X0) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,X0)),compose(compose(compose(h,a),a),X0)),compose(compose(compose(h,a),a),X0)) ).

cnf(u21519,hypothesis,
    compose(compose(g,codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),compose(a,b))),compose(compose(g,codomain(X0)),compose(a,b))),compose(compose(g,codomain(X0)),compose(a,b))) ).

cnf(u15728,hypothesis,
    compose(compose(compose(a,b),a),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,codomain(X0))),compose(compose(compose(a,b),a),codomain(X0))),compose(compose(compose(a,b),a),codomain(X0))) ).

cnf(u26691,hypothesis,
    compose(domain(X0),g) = ifeq(domain(a),codomain(compose(domain(X0),g)),ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,codomain(compose(domain(X0),g)))),compose(domain(X0),g)),compose(domain(X0),g)) ).

cnf(u1656,hypothesis,
    domain(compose(h,a)) = ifeq(domain(b),domain(a),domain(compose(compose(h,a),compose(a,b))),domain(compose(h,a))) ).

cnf(u46062,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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)))) ).

cnf(u44764,hypothesis,
    compose(compose(codomain(X0),compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(g,a)),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(g,a)),compose(h,compose(a,b)))) ).

cnf(u17207,hypothesis,
    compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,compose(h,compose(a,b)))),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ).

cnf(u8576,hypothesis,
    compose(compose(domain(compose(X0,g)),X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(compose(X0,g)),domain(X0),compose(X0,g),compose(compose(domain(compose(X0,g)),X0),g)),compose(compose(domain(compose(X0,g)),X0),g)) ).

cnf(u7002,hypothesis,
    compose(codomain(X0),g) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(codomain(X0),g)),compose(codomain(X0),g)) ).

cnf(u15854,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(a,a),a,h),h),h) ).

cnf(u15835,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(h,compose(a,b)),compose(h,a),h),h),h) ).

cnf(u2020,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X0,b),compose(h,b),X0,h),h),h) ).

cnf(u14404,hypothesis,
    compose(a,h) = ifeq(domain(a),codomain(compose(a,h)),ifeq(domain(b),domain(h),compose(a,compose(h,codomain(compose(a,h)))),compose(a,h)),compose(a,h)) ).

cnf(u209,hypothesis,
    domain(a) = ifeq(domain(b),domain(X0),domain(compose(a,X0)),domain(a)) ).

cnf(u21512,hypothesis,
    compose(compose(g,compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u33476,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(g,a),a),compose(compose(a,b),a),compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u43069,hypothesis,
    compose(compose(domain(compose(compose(h,a),codomain(X0))),compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(compose(compose(h,a),codomain(X0))),domain(h),compose(compose(h,a),codomain(X0)),compose(compose(domain(compose(compose(h,a),codomain(X0))),compose(h,a)),codomain(X0))),compose(compose(domain(compose(compose(h,a),codomain(X0))),compose(h,a)),codomain(X0))) ).

cnf(u36866,hypothesis,
    compose(compose(codomain(X0),g),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,compose(h,compose(a,b)))),compose(compose(codomain(X0),g),compose(h,compose(a,b)))),compose(compose(codomain(X0),g),compose(h,compose(a,b)))) ).

cnf(u14885,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u30175,hypothesis,
    compose(compose(X0,compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(X0,compose(h,compose(a,b))),compose(g,a))),compose(compose(X0,compose(h,compose(a,b))),compose(g,a))) ).

cnf(u35277,hypothesis,
    compose(compose(h,compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u6623,hypothesis,
    compose(a,compose(g,a)) = ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(g,a))),compose(a,compose(g,a))) ).

cnf(u46490,hypothesis,
    compose(compose(compose(h,compose(a,b)),g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u6422,hypothesis,
    compose(compose(X0,domain(b)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),compose(X0,compose(domain(b),compose(a,b))),compose(compose(X0,domain(b)),compose(a,b))),compose(compose(X0,domain(b)),compose(a,b))) ).

cnf(u6856,hypothesis,
    compose(compose(h,compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),compose(compose(g,a),compose(b,codomain(X0))),compose(compose(h,compose(a,b)),codomain(X0))) ).

cnf(u8857,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u2043,hypothesis,
    compose(g,domain(b)) = ifeq(domain(a),domain(b),compose(g,compose(domain(a),domain(b))),compose(g,domain(b))) ).

cnf(u1096,hypothesis,
    domain(X0) = ifeq(domain(a),domain(X0),codomain(compose(g,domain(X0))),domain(X0)) ).

cnf(u2600,hypothesis,
    compose(compose(a,compose(h,a)),b) = ifeq(domain(b),domain(compose(h,a)),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,a)),b)) ).

cnf(u17843,hypothesis,
    g = ifeq(domain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X0),b),compose(g,b),domain(X0),g),g),g) ).

cnf(u472,hypothesis,
    compose(compose(h,g),compose(a,b)) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,g),compose(a,b))) ).

cnf(u33886,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),codomain(X0))),compose(compose(compose(a,b),compose(a,b)),codomain(X0))),compose(compose(compose(a,b),compose(a,b)),codomain(X0))) ).

cnf(u36084,hypothesis,
    compose(compose(g,compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u1447,hypothesis,
    compose(a,b) = ifeq(codomain(b),codomain(compose(a,b)),compose(a,compose(b,codomain(compose(a,b)))),compose(a,b)) ).

cnf(u27505,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u8277,hypothesis,
    compose(compose(a,g),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(a,compose(g,compose(h,a))),compose(compose(a,g),compose(h,a))),compose(compose(a,g),compose(h,a))) ).

cnf(u36085,hypothesis,
    compose(compose(g,compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u14433,hypothesis,
    compose(a,codomain(X0)) = ifeq(codomain(X0),codomain(compose(a,codomain(X0))),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),codomain(compose(a,codomain(X0))))),compose(a,codomain(X0))),compose(a,codomain(X0))) ).

cnf(u8068,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(compose(g,a),a),compose(g,a),compose(h,a)),compose(h,a)) ).

cnf(u23649,hypothesis,
    compose(compose(domain(compose(h,domain(X0))),h),domain(X0)) = ifeq(domain(a),domain(X0),ifeq(domain(compose(h,domain(X0))),domain(h),compose(h,domain(X0)),compose(compose(domain(compose(h,domain(X0))),h),domain(X0))),compose(compose(domain(compose(h,domain(X0))),h),domain(X0))) ).

cnf(u14143,hypothesis,
    compose(compose(compose(a,b),X0),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,domain(X1))),compose(compose(compose(a,b),X0),domain(X1))),compose(compose(compose(a,b),X0),domain(X1))) ).

cnf(u9684,hypothesis,
    g = ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(g,a),X0,g,g),g),g) ).

cnf(u49204,hypothesis,
    compose(compose(domain(X0),compose(h,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),compose(h,a))),compose(compose(domain(X0),compose(h,a)),compose(h,a))),compose(compose(domain(X0),compose(h,a)),compose(h,a))) ).

cnf(u10688,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(g,a),X0,g,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u5233,hypothesis,
    compose(compose(h,X1),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(a),domain(X1),compose(h,compose(X1,domain(X0))),compose(compose(h,X1),domain(X0))),compose(compose(h,X1),domain(X0))) ).

cnf(u916,hypothesis,
    compose(compose(a,g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(g,X0)),compose(compose(a,g),X0)),compose(compose(a,g),X0)) ).

cnf(u22386,hypothesis,
    compose(compose(g,domain(b)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(g,compose(domain(b),compose(h,compose(a,b)))),compose(compose(g,domain(b)),compose(h,compose(a,b)))),compose(compose(g,domain(b)),compose(h,compose(a,b)))) ).

cnf(u6089,hypothesis,
    domain(h) = ifeq(domain(b),domain(X0),domain(compose(compose(h,a),domain(X0))),domain(h)) ).

cnf(u5672,hypothesis,
    compose(compose(g,X1),domain(X0)) = ifeq(codomain(X1),domain(X0),ifeq(domain(a),domain(X1),compose(g,compose(X1,domain(X0))),compose(compose(g,X1),domain(X0))),compose(compose(g,X1),domain(X0))) ).

cnf(u36465,hypothesis,
    compose(compose(h,a),compose(h,a)) = ifeq(domain(b),codomain(compose(compose(h,a),compose(h,a))),ifeq(domain(b),domain(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))) ).

cnf(u20507,hypothesis,
    compose(compose(compose(a,b),X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(X0,compose(h,compose(a,b)))),compose(compose(compose(a,b),X0),compose(h,compose(a,b)))),compose(compose(compose(a,b),X0),compose(h,compose(a,b)))) ).

cnf(u73,hypothesis,
    ifeq(codomain(h),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(g,b),X1,g,X0),X0),X0),X0) = X0 ).

cnf(u4903,hypothesis,
    h = ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(g,b),g,h),h) ).

cnf(u2089,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(a),domain(compose(domain(a),compose(a,b))),compose(g,compose(domain(a),compose(domain(a),compose(a,b)))),compose(h,compose(a,b))) ).

cnf(u1984,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(X0,b),X0,h),h),h) ).

cnf(u29404,hypothesis,
    compose(compose(compose(h,a),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u8054,hypothesis,
    compose(h,a) = ifeq(a,compose(compose(h,a),a),domain(a),compose(h,a)) ).

cnf(u23763,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),X1,ifeq(compose(domain(a),b),X1,domain(a),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u3386,hypothesis,
    compose(compose(domain(X0),h),domain(a)) = ifeq(domain(X0),domain(h),compose(domain(X0),h),compose(compose(domain(X0),h),domain(a))) ).

cnf(u16161,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),compose(h,a),a,h),h),h) ).

cnf(u15849,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),h),h),h) ).

cnf(u18151,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(g,a),compose(h,compose(a,b)),g),g),g) ).

cnf(u2319,hypothesis,
    codomain(b) = ifeq(codomain(b),domain(a),codomain(compose(compose(a,b),compose(a,b))),codomain(b)) ).

cnf(u23508,hypothesis,
    compose(compose(compose(a,b),domain(X0)),domain(b)) = ifeq(domain(X0),domain(b),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),domain(b))),compose(compose(compose(a,b),domain(X0)),domain(b))),compose(compose(compose(a,b),domain(X0)),domain(b))) ).

cnf(u1907,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),compose(X1,a),X1,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u8345,hypothesis,
    compose(compose(h,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),compose(h,compose(compose(a,b),domain(b))),compose(compose(h,compose(a,b)),domain(b))) ).

cnf(u3680,axiom,
    compose(X1,codomain(X0)) = ifeq(codomain(X0),codomain(compose(X1,codomain(X0))),ifeq(codomain(X1),codomain(X0),compose(X1,compose(codomain(X0),codomain(compose(X1,codomain(X0))))),compose(X1,codomain(X0))),compose(X1,codomain(X0))) ).

cnf(u6715,axiom,
    compose(compose(codomain(X0),X1),codomain(X2)) = ifeq(codomain(X1),codomain(X2),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,codomain(X2))),compose(compose(codomain(X0),X1),codomain(X2))),compose(compose(codomain(X0),X1),codomain(X2))) ).

cnf(u9580,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X0,ifeq(compose(h,compose(a,b)),X0,compose(h,a),g),g),g),g) ).

cnf(u830,axiom,
    domain(X1) = ifeq(codomain(X1),domain(X0),domain(compose(X1,domain(X0))),domain(X1)) ).

cnf(u336,hypothesis,
    compose(compose(h,X0),codomain(X0)) = ifeq(domain(a),domain(X0),compose(h,X0),compose(compose(h,X0),codomain(X0))) ).

cnf(u15585,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),codomain(b)) = ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),compose(a,b)),codomain(b))) ).

cnf(u33132,hypothesis,
    compose(compose(compose(a,b),compose(g,a)),domain(b)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),compose(g,a)),domain(b))) ).

cnf(u2081,hypothesis,
    compose(h,compose(a,b)) = compose(g,compose(domain(a),compose(a,b))) ).

cnf(u3908,hypothesis,
    compose(g,domain(b)) = ifeq(domain(a),domain(b),compose(domain(h),compose(g,domain(b))),compose(g,domain(b))) ).

cnf(u17859,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,compose(a,b)),compose(g,b),compose(h,a),g),g),g) ).

cnf(u6822,hypothesis,
    compose(compose(X0,compose(h,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,a),codomain(X1))),compose(compose(X0,compose(h,a)),codomain(X1))),compose(compose(X0,compose(h,a)),codomain(X1))) ).

cnf(u23360,hypothesis,
    compose(compose(domain(X0),h),g) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,g)),compose(compose(domain(X0),h),g)),compose(compose(domain(X0),h),g)) ).

cnf(u665,hypothesis,
    a = ifeq(domain(X0),domain(a),ifeq(compose(a,a),X1,ifeq(compose(domain(X0),a),X1,domain(X0),a),a),a) ).

cnf(u2672,hypothesis,
    domain(h) = ifeq(domain(b),domain(X0),domain(compose(compose(h,a),X0)),domain(h)) ).

cnf(u28999,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),compose(a,b))),compose(compose(compose(a,b),codomain(X0)),compose(a,b))),compose(compose(compose(a,b),codomain(X0)),compose(a,b))) ).

cnf(u9757,hypothesis,
    compose(h,domain(b)) = ifeq(domain(a),domain(b),compose(domain(h),compose(h,domain(b))),compose(h,domain(b))) ).

cnf(u7515,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),X0) = ifeq(codomain(b),domain(X0),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),X0)),compose(compose(compose(g,a),compose(a,b)),X0)),compose(compose(compose(g,a),compose(a,b)),X0)) ).

cnf(u14671,hypothesis,
    compose(compose(codomain(X0),compose(a,b)),compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(a),compose(codomain(X0),compose(compose(a,b),compose(a,b))),compose(compose(codomain(X0),compose(a,b)),compose(a,b))),compose(compose(codomain(X0),compose(a,b)),compose(a,b))) ).

cnf(u20509,hypothesis,
    compose(compose(compose(h,a),X0),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(X0,compose(h,compose(a,b)))),compose(compose(compose(h,a),X0),compose(h,compose(a,b)))),compose(compose(compose(h,a),X0),compose(h,compose(a,b)))) ).

cnf(u303,hypothesis,
    compose(compose(X0,X1),compose(h,compose(a,b))) = ifeq(codomain(X1),domain(g),ifeq(codomain(X0),domain(X1),compose(X0,compose(X1,compose(h,compose(a,b)))),compose(compose(X0,X1),compose(h,compose(a,b)))),compose(compose(X0,X1),compose(h,compose(a,b)))) ).

cnf(u28765,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),codomain(X1))),compose(compose(compose(h,a),codomain(X0)),codomain(X1))),compose(compose(compose(h,a),codomain(X0)),codomain(X1))) ).

cnf(u16885,hypothesis,
    compose(compose(compose(a,b),domain(h)),g) = ifeq(codomain(b),domain(h),compose(compose(a,b),g),compose(compose(compose(a,b),domain(h)),g)) ).

cnf(u6584,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u4822,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(g,b),compose(compose(a,b),b),g,compose(a,b)),compose(a,b)) ).

cnf(u43365,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u6055,hypothesis,
    domain(h) = ifeq(domain(a),domain(X0),domain(compose(h,domain(X0))),domain(h)) ).

cnf(u12837,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u654,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(compose(a,b),X0,ifeq(compose(a,b),X0,a,a),a),a) ).

cnf(u3681,hypothesis,
    compose(X0,domain(b)) = ifeq(domain(b),codomain(compose(X0,domain(b))),ifeq(codomain(X0),domain(b),compose(X0,compose(domain(b),codomain(compose(X0,domain(b))))),compose(X0,domain(b))),compose(X0,domain(b))) ).

cnf(u17072,hypothesis,
    compose(codomain(X0),compose(h,a)) = ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(codomain(X0),compose(h,a))),compose(codomain(X0),compose(h,a))) ).

cnf(u15171,hypothesis,
    compose(g,a) = ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X0,ifeq(compose(compose(h,compose(a,b)),b),X0,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)) ).

cnf(u1347,axiom,
    compose(compose(codomain(X0),X1),X2) = ifeq(codomain(X1),domain(X2),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,X2)),compose(compose(codomain(X0),X1),X2)),compose(compose(codomain(X0),X1),X2)) ).

cnf(u5911,hypothesis,
    compose(domain(X0),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(domain(X0),compose(h,compose(a,b)))),compose(domain(X0),compose(h,compose(a,b)))) ).

cnf(u40015,hypothesis,
    compose(compose(g,compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u33892,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u9383,hypothesis,
    domain(b) = ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(domain(b),a),compose(g,a),domain(b)),domain(b)) ).

cnf(u3476,hypothesis,
    codomain(b) = ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(h,compose(a,b)))),codomain(b)) ).

cnf(u16476,hypothesis,
    compose(compose(a,compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),domain(X0))),compose(compose(a,compose(g,a)),domain(X0))),compose(compose(a,compose(g,a)),domain(X0))) ).

cnf(u24477,hypothesis,
    compose(compose(h,compose(g,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),codomain(X0))),compose(compose(h,compose(g,a)),codomain(X0))),compose(compose(h,compose(g,a)),codomain(X0))) ).

cnf(u1125,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),X0),X0),X0),X0) = X0 ).

cnf(u15233,hypothesis,
    compose(compose(a,codomain(X0)),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),compose(a,b))),compose(compose(a,codomain(X0)),compose(a,b))),compose(compose(a,codomain(X0)),compose(a,b))) ).

cnf(u11089,hypothesis,
    a = ifeq(codomain(b),domain(a),ifeq(compose(a,a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),a),a),a) ).

cnf(u10672,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(g,b),X0,g,compose(g,a)),compose(g,a)) ).

cnf(u2315,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),compose(a,b),compose(a,b)),compose(a,b)) ).

cnf(u12841,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)) ).

cnf(u3227,hypothesis,
    compose(compose(domain(X0),X1),domain(b)) = ifeq(codomain(X1),domain(b),ifeq(domain(X0),domain(X1),compose(domain(X0),compose(X1,domain(b))),compose(compose(domain(X0),X1),domain(b))),compose(compose(domain(X0),X1),domain(b))) ).

cnf(u7016,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(codomain(b),g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u2662,hypothesis,
    domain(b) = ifeq(domain(b),domain(h),codomain(compose(a,compose(h,a))),domain(b)) ).

cnf(u3068,hypothesis,
    g = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(X0,a),X1,X0,g),g),g),g) ).

cnf(u9764,hypothesis,
    compose(h,compose(h,a)) = ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(h,a))),compose(h,compose(h,a))) ).

cnf(u28994,hypothesis,
    compose(compose(codomain(X0),codomain(X1)),compose(a,b)) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),compose(a,b))),compose(compose(codomain(X0),codomain(X1)),compose(a,b))),compose(compose(codomain(X0),codomain(X1)),compose(a,b))) ).

cnf(u6174,hypothesis,
    compose(g,a) = ifeq(domain(X0),domain(a),ifeq(compose(domain(X0),a),compose(compose(g,a),a),domain(X0),compose(g,a)),compose(g,a)) ).

cnf(u1061,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(h,a),X0,h,domain(a)),domain(a)),domain(a)) ).

cnf(u1912,hypothesis,
    h = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(X0,a),X0,h),h),h) ).

cnf(u14838,hypothesis,
    compose(h,a) = ifeq(compose(domain(a),b),compose(h,compose(a,b)),domain(a),compose(h,a)) ).

cnf(u34276,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(compose(h,a),a),compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u6003,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(b,compose(codomain(X0),b),codomain(X0),domain(b)),domain(b)) ).

cnf(u4414,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(h,b),compose(codomain(X0),b),h,codomain(X0)),codomain(X0)) ).

cnf(u1362,axiom,
    compose(compose(codomain(X0),X1),codomain(X1)) = ifeq(codomain(X0),domain(X1),compose(codomain(X0),X1),compose(compose(codomain(X0),X1),codomain(X1))) ).

cnf(u17744,hypothesis,
    compose(compose(compose(h,a),compose(h,a)),b) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(h,a)),b)) ).

cnf(u28896,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X0)) = ifeq(domain(b),codomain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X0))) ).

cnf(u33369,hypothesis,
    compose(compose(compose(a,b),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),domain(b))),compose(compose(compose(a,b),compose(a,b)),domain(b))),compose(compose(compose(a,b),compose(a,b)),domain(b))) ).

cnf(u14769,hypothesis,
    compose(compose(a,b),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))) ).

cnf(u776,hypothesis,
    domain(b) = ifeq(b,X0,ifeq(compose(g,b),X0,g,domain(b)),domain(b)) ).

cnf(u2214,hypothesis,
    compose(compose(h,a),compose(a,b)) = ifeq(domain(b),domain(a),compose(h,compose(a,compose(a,b))),compose(compose(h,a),compose(a,b))) ).

cnf(u518,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(a),domain(compose(domain(X0),compose(a,b))),domain(X0)) ).

cnf(u5029,hypothesis,
    codomain(X0) = ifeq(domain(a),codomain(X0),codomain(compose(h,codomain(X0))),codomain(X0)) ).

cnf(u7944,axiom,
    compose(compose(codomain(X0),codomain(X1)),X2) = ifeq(codomain(X1),domain(X2),ifeq(codomain(X0),codomain(X1),compose(codomain(X0),compose(codomain(X1),X2)),compose(compose(codomain(X0),codomain(X1)),X2)),compose(compose(codomain(X0),codomain(X1)),X2)) ).

cnf(u7520,hypothesis,
    compose(compose(X0,compose(a,b)),g) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),g)),compose(compose(X0,compose(a,b)),g)),compose(compose(X0,compose(a,b)),g)) ).

cnf(u47124,hypothesis,
    compose(compose(domain(X0),compose(g,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),compose(a,b))),compose(compose(domain(X0),compose(g,a)),compose(a,b))),compose(compose(domain(X0),compose(g,a)),compose(a,b))) ).

cnf(u81,hypothesis,
    compose(compose(X0,g),codomain(h)) = ifeq(codomain(X0),domain(g),compose(X0,g),compose(compose(X0,g),codomain(h))) ).

cnf(u9765,hypothesis,
    compose(h,compose(g,a)) = ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(g,a))),compose(h,compose(g,a))) ).

cnf(u6367,hypothesis,
    compose(compose(compose(g,a),X0),compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(X0,compose(a,b))),compose(compose(compose(g,a),X0),compose(a,b))),compose(compose(compose(g,a),X0),compose(a,b))) ).

cnf(u1558,hypothesis,
    compose(compose(g,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(g,compose(a,codomain(X0))),compose(compose(g,a),codomain(X0))) ).

cnf(u1964,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,a),compose(compose(g,a),a),X0,compose(g,a)),compose(g,a)) ).

cnf(u10459,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),X1) = ifeq(domain(b),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),X1)),compose(compose(codomain(X0),compose(h,a)),X1)),compose(compose(codomain(X0),compose(h,a)),X1)) ).

cnf(u27283,hypothesis,
    compose(compose(g,codomain(X0)),compose(h,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(g,compose(codomain(X0),compose(h,a))),compose(compose(g,codomain(X0)),compose(h,a))),compose(compose(g,codomain(X0)),compose(h,a))) ).

cnf(u26469,hypothesis,
    compose(compose(compose(g,a),domain(X0)),compose(h,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),compose(h,a))),compose(compose(compose(g,a),domain(X0)),compose(h,a))),compose(compose(compose(g,a),domain(X0)),compose(h,a))) ).

cnf(u10368,hypothesis,
    compose(compose(codomain(X0),X1),domain(b)) = ifeq(codomain(X1),domain(b),ifeq(codomain(X0),domain(X1),compose(codomain(X0),compose(X1,domain(b))),compose(compose(codomain(X0),X1),domain(b))),compose(compose(codomain(X0),X1),domain(b))) ).

cnf(u7762,hypothesis,
    domain(h) = ifeq(domain(a),domain(h),domain(compose(h,g)),domain(h)) ).

cnf(u31360,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(codomain(X0),b),codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u1352,hypothesis,
    a = ifeq(codomain(X0),domain(a),ifeq(compose(a,a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),a),a),a) ).

cnf(u70,hypothesis,
    compose(compose(g,X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(h),domain(X0),compose(g,compose(X0,X1)),compose(compose(g,X0),X1)),compose(compose(g,X0),X1)) ).

cnf(u14886,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u6423,hypothesis,
    compose(compose(X1,domain(X0)),compose(a,b)) = ifeq(domain(X0),domain(a),ifeq(codomain(X1),domain(X0),compose(X1,compose(domain(X0),compose(a,b))),compose(compose(X1,domain(X0)),compose(a,b))),compose(compose(X1,domain(X0)),compose(a,b))) ).

cnf(u11031,hypothesis,
    compose(a,compose(g,a)) = ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(g,a))),compose(a,compose(g,a))) ).

cnf(u11689,hypothesis,
    compose(compose(h,h),codomain(X0)) = ifeq(domain(a),codomain(X0),ifeq(domain(a),domain(h),compose(h,compose(h,codomain(X0))),compose(compose(h,h),codomain(X0))),compose(compose(h,h),codomain(X0))) ).

cnf(u17026,hypothesis,
    compose(compose(codomain(X1),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(codomain(X1),domain(X0),compose(codomain(X1),compose(domain(X0),g)),compose(compose(codomain(X1),domain(X0)),g)),compose(compose(codomain(X1),domain(X0)),g)) ).

cnf(u16369,hypothesis,
    compose(compose(a,codomain(X0)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(a,compose(codomain(X0),compose(h,compose(a,b)))),compose(compose(a,codomain(X0)),compose(h,compose(a,b)))),compose(compose(a,codomain(X0)),compose(h,compose(a,b)))) ).

cnf(u9360,hypothesis,
    domain(b) = ifeq(codomain(X0),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(codomain(X0),a),X1,codomain(X0),domain(b)),domain(b)),domain(b)) ).

cnf(u31637,hypothesis,
    compose(compose(domain(X0),codomain(X1)),g) = ifeq(codomain(X1),domain(h),ifeq(domain(X0),codomain(X1),compose(domain(X0),compose(codomain(X1),g)),compose(compose(domain(X0),codomain(X1)),g)),compose(compose(domain(X0),codomain(X1)),g)) ).

cnf(u22388,hypothesis,
    compose(compose(g,domain(b)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(b),compose(g,compose(domain(b),compose(h,a))),compose(compose(g,domain(b)),compose(h,a))),compose(compose(g,domain(b)),compose(h,a))) ).

cnf(u2034,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(X0,b),compose(compose(h,a),b),X0,compose(h,a)),compose(h,a)) ).

cnf(u4437,hypothesis,
    a = ifeq(compose(h,b),compose(a,b),h,a) ).

cnf(u8012,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(h,a)),compose(h,a)) ).

cnf(u7298,hypothesis,
    domain(b) = ifeq(domain(a),domain(h),codomain(compose(h,compose(g,a))),domain(b)) ).

cnf(u49746,hypothesis,
    compose(compose(domain(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(domain(compose(compose(g,a),compose(g,a))),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(domain(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a))),compose(compose(domain(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a))) ).

cnf(u31286,hypothesis,
    compose(compose(a,compose(g,a)),b) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(g,a)),b)) ).

cnf(u183,hypothesis,
    compose(g,X0) = ifeq(codomain(h),domain(X0),compose(domain(g),compose(g,X0)),compose(g,X0)) ).

cnf(u32106,hypothesis,
    compose(compose(compose(a,b),g),g) = ifeq(domain(a),domain(h),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,g)),compose(compose(compose(a,b),g),g)),compose(compose(compose(a,b),g),g)) ).

cnf(u11419,hypothesis,
    compose(compose(compose(a,b),g),X0) = ifeq(domain(a),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,X0)),compose(compose(compose(a,b),g),X0)),compose(compose(compose(a,b),g),X0)) ).

cnf(u1106,hypothesis,
    codomain(compose(a,b)) = ifeq(domain(a),domain(h),codomain(compose(g,compose(h,compose(a,b)))),codomain(compose(a,b))) ).

cnf(u1928,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(a),ifeq(codomain(X0),domain(b),codomain(X0),codomain(X0)),codomain(X0)) ).

cnf(u3432,hypothesis,
    compose(compose(domain(X0),compose(a,b)),codomain(b)) = ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,b)),compose(compose(domain(X0),compose(a,b)),codomain(b))) ).

cnf(u898,hypothesis,
    compose(compose(a,domain(X0)),X1) = ifeq(domain(X0),domain(X1),ifeq(domain(b),domain(X0),compose(a,compose(domain(X0),X1)),compose(compose(a,domain(X0)),X1)),compose(compose(a,domain(X0)),X1)) ).

cnf(u9791,hypothesis,
    codomain(X0) = ifeq(domain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),a),X1,ifeq(compose(a,a),X1,a,codomain(X0)),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u33694,hypothesis,
    compose(a,b) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X0,ifeq(compose(compose(h,a),a),X0,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u7242,hypothesis,
    a = ifeq(compose(a,a),a,domain(a),a) ).

cnf(u311,hypothesis,
    domain(g) = ifeq(codomain(compose(a,b)),domain(X0),domain(compose(compose(h,compose(a,b)),X0)),domain(g)) ).

cnf(u46168,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u47658,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X0))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X0))) ).

cnf(u6927,hypothesis,
    compose(compose(h,a),codomain(X0)) = ifeq(domain(b),codomain(X0),compose(domain(h),compose(compose(h,a),codomain(X0))),compose(compose(h,a),codomain(X0))) ).

cnf(u14498,hypothesis,
    compose(compose(compose(h,compose(a,b)),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u11540,hypothesis,
    compose(compose(h,compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(codomain(b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) ).

cnf(u11494,hypothesis,
    compose(compose(X0,g),a) = ifeq(codomain(X0),domain(h),compose(X0,compose(g,a)),compose(compose(X0,g),a)) ).

cnf(u15003,hypothesis,
    compose(compose(compose(g,a),a),b) = ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),a),b)) ).

cnf(u33583,hypothesis,
    compose(compose(compose(h,a),g),g) = ifeq(domain(a),domain(h),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,g)),compose(compose(compose(h,a),g),g)),compose(compose(compose(h,a),g),g)) ).

cnf(u21085,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(compose(codomain(X0),b),compose(domain(a),b),domain(a),codomain(X0)),codomain(X0)) ).

cnf(u11866,hypothesis,
    compose(compose(domain(X0),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(a),compose(domain(X0),compose(a,compose(h,compose(a,b)))),compose(compose(domain(X0),a),compose(h,compose(a,b)))),compose(compose(domain(X0),a),compose(h,compose(a,b)))) ).

cnf(u2352,hypothesis,
    domain(a) = ifeq(codomain(b),domain(X0),domain(compose(compose(a,b),X0)),domain(a)) ).

cnf(u36804,hypothesis,
    compose(compose(domain(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(compose(a,compose(h,compose(a,b)))),domain(a),compose(a,compose(h,compose(a,b))),compose(compose(domain(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b)))),compose(compose(domain(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b)))) ).

cnf(u20089,hypothesis,
    compose(compose(compose(g,a),compose(a,b)),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u8270,hypothesis,
    compose(compose(a,g),domain(b)) = ifeq(domain(a),domain(b),ifeq(domain(b),domain(h),compose(a,compose(g,domain(b))),compose(compose(a,g),domain(b))),compose(compose(a,g),domain(b))) ).

cnf(u1828,hypothesis,
    compose(compose(g,domain(X0)),domain(X0)) = ifeq(domain(a),domain(X0),compose(g,domain(X0)),compose(compose(g,domain(X0)),domain(X0))) ).

cnf(u4117,hypothesis,
    compose(compose(X0,a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(a),compose(X0,compose(a,compose(g,a))),compose(compose(X0,a),compose(g,a))),compose(compose(X0,a),compose(g,a))) ).

cnf(u17728,hypothesis,
    compose(compose(X0,compose(h,a)),b) = ifeq(codomain(X0),domain(h),compose(X0,compose(h,compose(a,b))),compose(compose(X0,compose(h,a)),b)) ).

cnf(u450,hypothesis,
    compose(compose(h,compose(a,b)),codomain(b)) = ifeq(codomain(compose(g,a)),domain(b),compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(b))) ).

cnf(u18678,hypothesis,
    compose(compose(compose(h,a),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),g)),compose(compose(compose(h,a),domain(X0)),g)),compose(compose(compose(h,a),domain(X0)),g)) ).

cnf(u33627,hypothesis,
    compose(compose(compose(a,b),domain(X0)),compose(h,compose(a,b))) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain(X0)),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain(X0)),compose(h,compose(a,b)))) ).

cnf(u16012,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(b,compose(h,b),domain(b),h),h),h) ).

cnf(u3719,hypothesis,
    compose(X0,compose(h,compose(a,b))) = ifeq(codomain(b),codomain(compose(X0,compose(h,compose(a,b)))),ifeq(codomain(X0),domain(h),compose(X0,compose(compose(h,compose(a,b)),codomain(compose(X0,compose(h,compose(a,b)))))),compose(X0,compose(h,compose(a,b)))),compose(X0,compose(h,compose(a,b)))) ).

cnf(u25203,hypothesis,
    compose(compose(domain(X0),h),compose(h,a)) = ifeq(domain(a),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(h,compose(h,a))),compose(compose(domain(X0),h),compose(h,a))),compose(compose(domain(X0),h),compose(h,a))) ).

cnf(u14139,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),domain(X1)) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),domain(X0),compose(compose(h,compose(a,b)),compose(X0,domain(X1))),compose(compose(compose(h,compose(a,b)),X0),domain(X1))),compose(compose(compose(h,compose(a,b)),X0),domain(X1))) ).

cnf(u7403,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(X0),b),codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u66,axiom,
    compose(compose(X1,domain(X0)),X0) = ifeq(codomain(X1),domain(domain(X0)),compose(X1,X0),compose(compose(X1,domain(X0)),X0)) ).

cnf(u37801,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),codomain(X1))),compose(compose(codomain(X0),compose(h,a)),codomain(X1))),compose(compose(codomain(X0),compose(h,a)),codomain(X1))) ).

cnf(u8651,hypothesis,
    compose(compose(domain(compose(compose(g,a),X0)),compose(g,a)),X0) = ifeq(domain(b),domain(X0),ifeq(domain(compose(compose(g,a),X0)),domain(h),compose(compose(g,a),X0),compose(compose(domain(compose(compose(g,a),X0)),compose(g,a)),X0)),compose(compose(domain(compose(compose(g,a),X0)),compose(g,a)),X0)) ).

cnf(u9678,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(compose(g,a),a),X0,compose(g,a),g),g),g),g) ).

cnf(u8383,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X0,ifeq(compose(compose(a,b),b),X0,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u3535,hypothesis,
    domain(a) = ifeq(codomain(X0),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(codomain(X0),a),codomain(X0),domain(a)),domain(a)),domain(a)) ).

cnf(u11420,hypothesis,
    compose(compose(compose(g,a),g),X0) = ifeq(domain(a),domain(X0),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,X0)),compose(compose(compose(g,a),g),X0)),compose(compose(compose(g,a),g),X0)) ).

cnf(u31555,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X0),a),compose(compose(a,b),a),codomain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u9686,hypothesis,
    g = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X0,ifeq(compose(compose(h,compose(a,b)),a),X0,compose(h,compose(a,b)),g),g),g),g) ).

cnf(u179,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(a,compose(X0,a),domain(a),X0),X0) = X0 ).

cnf(u44792,hypothesis,
    compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b))) = ifeq(codomain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(codomain(X0),compose(h,compose(a,b))),compose(h,compose(a,b)))) ).

cnf(u35159,hypothesis,
    compose(compose(h,compose(g,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(a),domain(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)))) ).

cnf(u25050,hypothesis,
    compose(compose(compose(h,a),a),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u23138,hypothesis,
    compose(compose(domain(X0),compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(domain(X0),domain(a),compose(domain(X0),compose(compose(a,b),domain(b))),compose(compose(domain(X0),compose(a,b)),domain(b))),compose(compose(domain(X0),compose(a,b)),domain(b))) ).

cnf(u8536,hypothesis,
    compose(h,a) = ifeq(compose(h,compose(a,b)),X0,ifeq(compose(h,b),X0,h,compose(h,a)),compose(h,a)) ).

cnf(u1631,hypothesis,
    domain(X0) = ifeq(codomain(X0),domain(a),domain(compose(X0,compose(a,b))),domain(X0)) ).

cnf(u307,hypothesis,
    compose(compose(X0,domain(g)),compose(h,compose(a,b))) = ifeq(codomain(X0),domain(g),compose(X0,compose(h,compose(a,b))),compose(compose(X0,domain(g)),compose(h,compose(a,b)))) ).

cnf(u8021,hypothesis,
    compose(h,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,domain(b),compose(h,a)),compose(h,a)) ).

cnf(u12835,hypothesis,
    compose(compose(h,compose(a,b)),g) = ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)) ).

cnf(u1450,hypothesis,
    compose(compose(a,b),compose(a,b)) = ifeq(codomain(b),domain(a),compose(a,compose(b,compose(a,b))),compose(compose(a,b),compose(a,b))) ).

cnf(u5243,hypothesis,
    compose(compose(h,X0),g) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(h,compose(X0,g)),compose(compose(h,X0),g)),compose(compose(h,X0),g)) ).

cnf(u1950,hypothesis,
    codomain(X0) = ifeq(codomain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X1,a),compose(codomain(X0),a),X1,codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u43,hypothesis,
    ifeq(codomain(X0),domain(b),ifeq(compose(X0,a),X1,ifeq(a,X1,domain(a),X0),X0),X0) = X0 ).

cnf(u17793,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b))) ).

cnf(u17907,hypothesis,
    compose(compose(domain(compose(a,domain(X0))),a),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(compose(a,domain(X0))),domain(a),compose(a,domain(X0)),compose(compose(domain(compose(a,domain(X0))),a),domain(X0))),compose(compose(domain(compose(a,domain(X0))),a),domain(X0))) ).

cnf(u2617,hypothesis,
    domain(h) = domain(compose(h,a)) ).

cnf(u17325,hypothesis,
    compose(compose(h,compose(g,a)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),domain(X0))),compose(compose(h,compose(g,a)),domain(X0))),compose(compose(h,compose(g,a)),domain(X0))) ).

cnf(u5449,hypothesis,
    compose(compose(h,domain(h)),compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,domain(h)),compose(h,compose(a,b)))) ).

cnf(u49203,hypothesis,
    compose(compose(domain(X0),compose(g,a)),compose(h,a)) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(g,a),compose(h,a))),compose(compose(domain(X0),compose(g,a)),compose(h,a))),compose(compose(domain(X0),compose(g,a)),compose(h,a))) ).

cnf(u442,hypothesis,
    ifeq(codomain(compose(g,a)),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),X0),X0),X0),X0) = X0 ).

cnf(u35521,hypothesis,
    compose(compose(compose(h,a),domain(X0)),compose(g,a)) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(h,a),compose(domain(X0),compose(g,a))),compose(compose(compose(h,a),domain(X0)),compose(g,a))),compose(compose(compose(h,a),domain(X0)),compose(g,a))) ).

cnf(u7373,hypothesis,
    compose(h,compose(a,b)) = ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))) ).

cnf(u22819,hypothesis,
    compose(compose(compose(h,a),h),a) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),h),a)) ).

cnf(u1281,hypothesis,
    compose(h,compose(h,compose(a,b))) = ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))) ).

cnf(u48605,hypothesis,
    compose(compose(domain(X0),compose(h,a)),compose(h,compose(a,b))) = ifeq(domain(b),domain(h),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain(X0),compose(h,a)),compose(h,compose(a,b)))) ).

cnf(u4634,hypothesis,
    compose(g,a) = ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(g,a)) ).

cnf(u14841,hypothesis,
    compose(compose(h,compose(a,b)),domain(X0)) = ifeq(codomain(b),domain(X0),compose(g,compose(compose(a,b),domain(X0))),compose(compose(h,compose(a,b)),domain(X0))) ).

cnf(u22380,hypothesis,
    compose(compose(g,domain(b)),domain(X0)) = ifeq(domain(b),domain(X0),ifeq(domain(a),domain(b),compose(g,compose(domain(b),domain(X0))),compose(compose(g,domain(b)),domain(X0))),compose(compose(g,domain(b)),domain(X0))) ).

cnf(u2693,hypothesis,
    compose(compose(a,b),compose(a,b)) = ifeq(codomain(b),domain(a),compose(domain(a),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))) ).

cnf(u3050,hypothesis,
    domain(a) = codomain(g) ).

cnf(u22194,hypothesis,
    compose(compose(a,b),a) = ifeq(domain(b),codomain(compose(compose(a,b),a)),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,codomain(compose(compose(a,b),a)))),compose(compose(a,b),a)),compose(compose(a,b),a)) ).

cnf(u2606,hypothesis,
    compose(h,a) = ifeq(codomain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(X0,b),X0,compose(h,a)),compose(h,a)) ).

cnf(u11085,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(X0,b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),X0),X0),X0),X0) = X0 ).

cnf(u11794,hypothesis,
    domain(X0) = ifeq(domain(X0),domain(b),ifeq(a,compose(domain(X0),a),domain(a),domain(X0)),domain(X0)) ).

cnf(u9396,hypothesis,
    domain(b) = ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),a),compose(domain(b),a),compose(h,compose(a,b)),domain(b)),domain(b)) ).

cnf(u2260,hypothesis,
    codomain(b) = ifeq(domain(b),domain(h),codomain(compose(a,compose(h,compose(a,b)))),codomain(b)) ).

cnf(u421,hypothesis,
    compose(compose(compose(h,compose(a,b)),X0),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(compose(a,b)),domain(X0),compose(compose(h,compose(a,b)),compose(X0,X1)),compose(compose(compose(h,compose(a,b)),X0),X1)),compose(compose(compose(h,compose(a,b)),X0),X1)) ).

cnf(u15300,hypothesis,
    compose(compose(h,a),compose(g,a)) = ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))) ).

cnf(u44971,hypothesis,
    compose(compose(compose(h,a),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(h,a),compose(codomain(X0),compose(g,a))),compose(compose(compose(h,a),codomain(X0)),compose(g,a))),compose(compose(compose(h,a),codomain(X0)),compose(g,a))) ).

cnf(u17860,hypothesis,
    g = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,compose(a,b)),compose(g,b),compose(g,a),g),g),g) ).

cnf(u2188,axiom,
    domain(X1) = ifeq(codomain(X0),domain(X1),codomain(compose(codomain(X0),domain(X1))),domain(X1)) ).

cnf(u7529,hypothesis,
    compose(compose(X0,compose(a,b)),domain(b)) = ifeq(codomain(b),domain(b),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),domain(b))),compose(compose(X0,compose(a,b)),domain(b))),compose(compose(X0,compose(a,b)),domain(b))) ).

cnf(u2042,hypothesis,
    compose(g,domain(X0)) = ifeq(domain(a),domain(X0),compose(g,compose(domain(a),domain(X0))),compose(g,domain(X0))) ).

cnf(u12396,hypothesis,
    compose(compose(h,g),g) = ifeq(domain(a),domain(h),ifeq(domain(a),domain(h),compose(h,compose(g,g)),compose(compose(h,g),g)),compose(compose(h,g),g)) ).

cnf(u39178,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),compose(g,a))),compose(compose(compose(g,a),codomain(X0)),compose(g,a))),compose(compose(compose(g,a),codomain(X0)),compose(g,a))) ).

cnf(u25934,hypothesis,
    compose(compose(domain(X0),compose(h,a)),domain(X1)) = ifeq(domain(b),domain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),domain(X1))),compose(compose(domain(X0),compose(h,a)),domain(X1))),compose(compose(domain(X0),compose(h,a)),domain(X1))) ).

cnf(u2542,hypothesis,
    domain(a) = ifeq(codomain(b),domain(h),domain(compose(compose(a,b),g)),domain(a)) ).

cnf(u25356,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X0),b),compose(compose(a,b),b),domain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u4480,hypothesis,
    compose(a,b) = ifeq(codomain(b),domain(b),ifeq(compose(h,a),compose(compose(a,b),a),h,compose(a,b)),compose(a,b)) ).

cnf(u5663,hypothesis,
    compose(compose(g,X0),compose(g,a)) = ifeq(codomain(X0),domain(h),ifeq(domain(a),domain(X0),compose(g,compose(X0,compose(g,a))),compose(compose(g,X0),compose(g,a))),compose(compose(g,X0),compose(g,a))) ).

cnf(u17118,hypothesis,
    codomain(X0) = ifeq(domain(X1),domain(a),ifeq(codomain(X0),domain(b),ifeq(compose(domain(X1),a),compose(codomain(X0),a),domain(X1),codomain(X0)),codomain(X0)),codomain(X0)) ).

cnf(u2350,hypothesis,
    compose(compose(X0,compose(a,b)),X1) = ifeq(codomain(b),domain(X1),ifeq(codomain(X0),domain(a),compose(X0,compose(compose(a,b),X1)),compose(compose(X0,compose(a,b)),X1)),compose(compose(X0,compose(a,b)),X1)) ).

cnf(u3228,axiom,
    compose(compose(domain(X1),X2),codomain(X0)) = ifeq(codomain(X2),codomain(X0),ifeq(domain(X1),domain(X2),compose(domain(X1),compose(X2,codomain(X0))),compose(compose(domain(X1),X2),codomain(X0))),compose(compose(domain(X1),X2),codomain(X0))) ).

cnf(u14021,hypothesis,
    h = ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X0,ifeq(compose(compose(a,b),a),X0,compose(a,b),h),h),h),h) ).

cnf(u16549,hypothesis,
    compose(compose(domain(X0),g),a) = ifeq(domain(X0),domain(h),compose(domain(X0),compose(g,a)),compose(compose(domain(X0),g),a)) ).

cnf(u5485,hypothesis,
    compose(g,a) = ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,domain(b),compose(g,a)),compose(g,a)) ).

cnf(u35446,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),domain(b))),compose(compose(compose(h,compose(a,b)),codomain(X0)),domain(b))),compose(compose(compose(h,compose(a,b)),codomain(X0)),domain(b))) ).

cnf(u39693,hypothesis,
    compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X0)) = ifeq(codomain(b),domain(X0),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),domain(X0))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X0))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X0))) ).

cnf(u2301,hypothesis,
    compose(a,b) = ifeq(codomain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X0,a),compose(compose(a,b),a),X0,compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u9509,hypothesis,
    a = ifeq(domain(b),domain(a),ifeq(b,compose(a,b),domain(b),a),a) ).

cnf(u23274,hypothesis,
    compose(compose(compose(a,b),a),compose(g,a)) = ifeq(domain(b),domain(h),ifeq(codomain(b),domain(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))) ).

cnf(u11795,hypothesis,
    codomain(X0) = ifeq(codomain(X0),domain(b),ifeq(a,compose(codomain(X0),a),domain(a),codomain(X0)),codomain(X0)) ).

cnf(u25000,hypothesis,
    compose(a,b) = ifeq(domain(X0),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(domain(X0),b),domain(X0),compose(a,b)),compose(a,b)),compose(a,b)) ).

cnf(u6175,hypothesis,
    compose(g,a) = ifeq(codomain(X0),domain(a),ifeq(compose(codomain(X0),a),compose(compose(g,a),a),codomain(X0),compose(g,a)),compose(g,a)) ).

cnf(u26688,hypothesis,
    compose(domain(X0),domain(b)) = ifeq(domain(b),codomain(compose(domain(X0),domain(b))),ifeq(domain(X0),domain(b),compose(domain(X0),compose(domain(b),codomain(compose(domain(X0),domain(b))))),compose(domain(X0),domain(b))),compose(domain(X0),domain(b))) ).

cnf(u27131,hypothesis,
    compose(compose(domain(X0),compose(h,a)),codomain(X1)) = ifeq(domain(b),codomain(X1),ifeq(domain(X0),domain(h),compose(domain(X0),compose(compose(h,a),codomain(X1))),compose(compose(domain(X0),compose(h,a)),codomain(X1))),compose(compose(domain(X0),compose(h,a)),codomain(X1))) ).

cnf(u8018,hypothesis,
    compose(h,a) = ifeq(domain(X0),domain(a),ifeq(compose(h,compose(a,b)),compose(domain(X0),b),domain(X0),compose(h,a)),compose(h,a)) ).

cnf(u38538,hypothesis,
    compose(compose(g,compose(h,compose(a,b))),compose(g,a)) = ifeq(codomain(b),domain(h),ifeq(domain(a),domain(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))) ).

cnf(u12683,hypothesis,
    domain(X0) = ifeq(domain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(h,compose(a,b)),compose(domain(X0),b),compose(h,a),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u34318,hypothesis,
    compose(compose(domain(compose(compose(a,b),codomain(X0))),compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(domain(compose(compose(a,b),codomain(X0))),domain(a),compose(compose(a,b),codomain(X0)),compose(compose(domain(compose(compose(a,b),codomain(X0))),compose(a,b)),codomain(X0))),compose(compose(domain(compose(compose(a,b),codomain(X0))),compose(a,b)),codomain(X0))) ).

cnf(u21513,hypothesis,
    compose(compose(g,compose(h,a)),compose(a,b)) = ifeq(domain(b),domain(a),ifeq(domain(a),domain(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))) ).

cnf(u12392,hypothesis,
    compose(compose(h,codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(a),codomain(X0),compose(h,compose(codomain(X0),g)),compose(compose(h,codomain(X0)),g)),compose(compose(h,codomain(X0)),g)) ).

cnf(u13606,hypothesis,
    compose(compose(compose(g,a),a),domain(b)) = ifeq(domain(b),domain(a),compose(compose(g,a),a),compose(compose(compose(g,a),a),domain(b))) ).

cnf(u5234,hypothesis,
    compose(compose(h,X0),domain(b)) = ifeq(codomain(X0),domain(b),ifeq(domain(a),domain(X0),compose(h,compose(X0,domain(b))),compose(compose(h,X0),domain(b))),compose(compose(h,X0),domain(b))) ).

cnf(u28767,hypothesis,
    compose(compose(compose(a,b),codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(codomain(b),codomain(X0),compose(compose(a,b),compose(codomain(X0),codomain(X1))),compose(compose(compose(a,b),codomain(X0)),codomain(X1))),compose(compose(compose(a,b),codomain(X0)),codomain(X1))) ).

cnf(u7969,hypothesis,
    compose(compose(compose(h,compose(a,b)),codomain(X0)),X1) = ifeq(codomain(X0),domain(X1),ifeq(codomain(b),codomain(X0),compose(compose(h,compose(a,b)),compose(codomain(X0),X1)),compose(compose(compose(h,compose(a,b)),codomain(X0)),X1)),compose(compose(compose(h,compose(a,b)),codomain(X0)),X1)) ).

cnf(u24380,hypothesis,
    compose(compose(compose(g,a),compose(g,a)),domain(b)) = ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),compose(g,a)),domain(b))) ).

cnf(u18680,hypothesis,
    compose(compose(compose(a,b),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(codomain(b),domain(X0),compose(compose(a,b),compose(domain(X0),g)),compose(compose(compose(a,b),domain(X0)),g)),compose(compose(compose(a,b),domain(X0)),g)) ).

cnf(u28901,hypothesis,
    compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X0)) = ifeq(codomain(b),codomain(X0),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X0))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X0))) ).

cnf(u14766,hypothesis,
    compose(compose(a,b),compose(g,a)) = ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),compose(g,a))),compose(compose(a,b),compose(g,a))) ).

cnf(u45153,hypothesis,
    compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a)) = ifeq(codomain(b),domain(h),ifeq(domain(b),domain(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))) ).

cnf(u1063,hypothesis,
    domain(a) = ifeq(domain(a),domain(b),ifeq(a,X0,ifeq(compose(g,a),X0,g,domain(a)),domain(a)),domain(a)) ).

cnf(u32161,hypothesis,
    compose(compose(compose(g,a),codomain(X0)),g) = ifeq(codomain(X0),domain(h),ifeq(domain(b),codomain(X0),compose(compose(g,a),compose(codomain(X0),g)),compose(compose(compose(g,a),codomain(X0)),g)),compose(compose(compose(g,a),codomain(X0)),g)) ).

cnf(u15836,hypothesis,
    h = ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(h,compose(a,b)),compose(g,a),h),h),h) ).

cnf(u31122,hypothesis,
    compose(compose(codomain(X0),g),domain(X1)) = ifeq(domain(a),domain(X1),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(g,domain(X1))),compose(compose(codomain(X0),g),domain(X1))),compose(compose(codomain(X0),g),domain(X1))) ).

cnf(u7570,hypothesis,
    compose(h,compose(a,b)) = ifeq(domain(b),domain(a),ifeq(codomain(b),domain(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))) ).

cnf(u1906,hypothesis,
    domain(X0) = ifeq(codomain(X1),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),a),compose(X1,a),X1,domain(X0)),domain(X0)),domain(X0)) ).

cnf(u15238,hypothesis,
    compose(compose(a,h),compose(a,b)) = ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,h),compose(a,b))) ).

cnf(u17018,hypothesis,
    compose(compose(codomain(X0),compose(h,a)),g) = ifeq(domain(b),domain(h),ifeq(codomain(X0),domain(h),compose(codomain(X0),compose(compose(h,a),g)),compose(compose(codomain(X0),compose(h,a)),g)),compose(compose(codomain(X0),compose(h,a)),g)) ).

cnf(u4441,hypothesis,
    compose(h,a) = ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(h,a)) ).

cnf(u6969,hypothesis,
    compose(codomain(X0),domain(b)) = ifeq(codomain(X0),domain(b),compose(codomain(X0),compose(codomain(X0),domain(b))),compose(codomain(X0),domain(b))) ).

cnf(u18679,hypothesis,
    compose(compose(compose(g,a),domain(X0)),g) = ifeq(domain(X0),domain(h),ifeq(domain(b),domain(X0),compose(compose(g,a),compose(domain(X0),g)),compose(compose(compose(g,a),domain(X0)),g)),compose(compose(compose(g,a),domain(X0)),g)) ).

cnf(u6208,hypothesis,
    domain(X0) = ifeq(codomain(b),domain(a),ifeq(domain(X0),domain(b),ifeq(compose(domain(X0),b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),domain(X0)),domain(X0)),domain(X0)),domain(X0)) ).

cnf(u28664,hypothesis,
    compose(compose(compose(h,a),compose(g,a)),domain(b)) = ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),compose(g,a)),domain(b))) ).

cnf(u28818,axiom,
    compose(compose(domain(compose(codomain(X0),codomain(X1))),codomain(X0)),codomain(X1)) = ifeq(codomain(X0),codomain(X1),ifeq(domain(compose(codomain(X0),codomain(X1))),codomain(X0),compose(codomain(X0),codomain(X1)),compose(compose(domain(compose(codomain(X0),codomain(X1))),codomain(X0)),codomain(X1))),compose(compose(domain(compose(codomain(X0),codomain(X1))),codomain(X0)),codomain(X1))) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CAT002-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n008.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 21:12:24 UTC 2026
% 0.06/0.19  % CPUTime  : 
% 0.06/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running first-order theorem proving
% 0.06/0.21  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.75/4.03  % (2657885)Detected a unit-equality problem, will run specialized UEQ schedule.
% 22.75/4.03  % (2657937)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2676496406:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 22.75/4.03  % (2657936)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=119743457:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 22.75/4.03  % (2657939)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1947761291:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 22.75/4.03  % (2657940)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2513658864:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 22.75/4.03  % (2657941)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2215075519:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 22.75/4.03  % (2657944)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3934595045:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 22.75/4.03  % (2657943)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2643452105:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 22.75/4.03  % (2657940)Instruction limit reached! 
% 22.75/4.03  % (2657940)------------------------------
% 22.75/4.03  % (2657940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.03  % (2657940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.03  % (2657940)CaDiCaL version: 2.1.3
% 22.75/4.03  % (2657940)Termination reason: Instruction limit
% 22.75/4.03  % (2657940)Termination phase: Saturation
% 22.75/4.03  % (2657940)Time elapsed: 0.085 s
% 22.75/4.03  % (2657940)Peak memory usage: 88 MB
% 22.75/4.03  % (2657940)Instructions burned: 136 (million)
% 22.75/4.03  % (2657941)Instruction limit reached! 
% 22.75/4.03  % (2657941)------------------------------
% 22.75/4.03  % (2657941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.03  % (2657941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.03  % (2657941)CaDiCaL version: 2.1.3
% 22.75/4.03  % (2657941)Termination reason: Instruction limit
% 22.75/4.03  % (2657941)Termination phase: Saturation
% 22.75/4.03  % (2657941)Time elapsed: 0.103 s
% 22.75/4.03  % (2657941)Peak memory usage: 89 MB
% 22.75/4.03  % (2657941)Instructions burned: 182 (million)
% 22.75/4.03  % (2657943)Instruction limit reached! 
% 22.75/4.03  % (2657943)------------------------------
% 22.75/4.03  % (2657943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.03  % (2657943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.03  % (2657943)CaDiCaL version: 2.1.3
% 22.75/4.03  % (2657943)Termination reason: Instruction limit
% 22.75/4.03  % (2657943)Termination phase: Saturation
% 22.75/4.03  % (2657943)Time elapsed: 0.210 s
% 22.75/4.03  % (2657943)Peak memory usage: 91 MB
% 22.75/4.03  % (2657943)Instructions burned: 257 (million)
% 22.75/4.03  % (2658013)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1278908944:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 22.75/4.03  % (2658017)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4273095277:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 22.75/4.03  % (2658051)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2357393642:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 22.75/4.03  % (2658051)Instruction limit reached! 
% 22.75/4.03  % (2658051)------------------------------
% 22.75/4.03  % (2658051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.03  % (2658051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.03  % (2658051)CaDiCaL version: 2.1.3
% 22.75/4.03  % (2658051)Termination reason: Instruction limit
% 22.75/4.03  % (2658051)Termination phase: Saturation
% 22.75/4.03  % (2658051)Time elapsed: 0.191 s
% 22.75/4.03  % (2658051)Peak memory usage: 91 MB
% 22.75/4.03  % (2658051)Instructions burned: 216 (million)
% 22.75/4.03  % (2658069)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1619740718:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 22.75/4.03  % (2657944)Instruction limit reached! 
% 22.75/4.03  % (2657944)------------------------------
% 22.75/4.03  % (2657944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.03  % (2657944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.03  % (2657944)CaDiCaL version: 2.1.3
% 22.75/4.03  % (2657944)Termination reason: Instruction limit
% 22.75/4.03  % (2657944)Termination phase: Saturation
% 22.75/4.03  % (2657944)Time elapsed: 1.007 s
% 22.75/4.03  % (2657944)Peak memory usage: 97 MB
% 22.75/4.03  % (2657944)Instructions burned: 1188 (million)
% 22.75/4.03  % (2658069)Instruction limit reached! 
% 22.75/4.03  % (2658069)------------------------------
% 22.75/4.03  % (2658069)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.04  % (2658069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.04  % (2658069)CaDiCaL version: 2.1.3
% 22.75/4.04  % (2658069)Termination reason: Instruction limit
% 22.75/4.04  % (2658069)Termination phase: Saturation
% 22.75/4.04  % (2658069)Time elapsed: 0.311 s
% 22.75/4.04  % (2658069)Peak memory usage: 93 MB
% 22.75/4.04  % (2658069)Instructions burned: 317 (million)
% 22.75/4.04  % (2658074)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2950563601:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 22.75/4.04  % (2658078)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=673760928:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 22.75/4.04  % (2658013)Instruction limit reached! 
% 22.75/4.04  % (2658013)------------------------------
% 22.75/4.04  % (2658013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.75/4.04  % (2658013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.75/4.04  % (2658013)CaDiCaL version: 2.1.3
% 22.75/4.04  % (2658013)Termination reason: Instruction limit
% 22.75/4.04  % (2658013)Termination phase: Saturation
% 22.75/4.04  % (2658013)Time elapsed: 2.179 s
% 22.75/4.04  % (2658013)Peak memory usage: 140 MB
% 22.75/4.04  % (2658013)Instructions burned: 2051 (million)
% 22.75/4.04  % (2658089)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1770896118:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2973 on theBenchmark for (2973ds/14534Mi)
% 22.75/4.04  % (2657937)First to succeed.
% 22.75/4.04  % (2657937)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2657885"
% 22.75/4.04  % SZS status Satisfiable for theBenchmark
% 22.75/4.04  % SZS output start Saturation.
% See solution above
% 24.39/4.15  % SZS output start Definitions and Model Updates.
% 24.39/4.15  % SZS output end Definitions and Model Updates.
% 24.39/4.15  % (2657937)------------------------------
% 24.39/4.15  % (2657937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.39/4.15  % (2657937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.39/4.15  % (2657937)CaDiCaL version: 2.1.3
% 24.39/4.15  % (2657937)Termination reason: Satisfiable
% 24.39/4.15  % (2657937)Time elapsed: 3.066 s
% 24.39/4.15  % (2657937)Peak memory usage: 166 MB
% 24.39/4.15  % (2657937)Instructions burned: 6159 (million)
% 24.39/4.15  % (2657937)------------------------------
% 24.39/4.15  % (2657937)------------------------------
% 24.39/4.15  % (2657885)Success in time 3.391 s
% 24.39/4.15  % Vampire exiting
%------------------------------------------------------------------------------