CSE_E---1.7.SAT-Sat.s

%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CAT002-10 : TPTP v9.2.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:11:36 PM UTC 2026

% Result   : Satisfiable 6.02s 4.57s
% Output   : Saturation 6.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(codomain_of_g_equals_domain_of_ab,hypothesis,
    codomain(g) = domain(compose(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_g_equals_domain_of_ab) ).

cnf(codomain_of_h_equals_domain_of_ab,hypothesis,
    codomain(h) = domain(compose(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_h_equals_domain_of_ab) ).

cnf(codomain_domain1,axiom,
    ifeq(codomain(X1),domain(X2),domain(compose(X1,X2)),domain(X1)) = domain(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_domain1) ).

cnf(codomain_of_a_equals_domain_of_b,hypothesis,
    codomain(a) = domain(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(h_ab_equals_g_ab,hypothesis,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',h_ab_equals_g_ab) ).

cnf(codomain_domain2,axiom,
    ifeq(codomain(X1),domain(X2),codomain(compose(X1,X2)),codomain(X2)) = codomain(X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_domain2) ).

cnf(star_property,axiom,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(X1,X2)),compose(compose(X3,X1),X2)),compose(compose(X3,X1),X2)) = compose(compose(X3,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_property) ).

cnf(codomain_of_domain_is_domain,axiom,
    codomain(domain(X1)) = domain(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_domain_is_domain) ).

cnf(domain_of_codomain_is_codomain,axiom,
    domain(codomain(X1)) = codomain(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_codomain_is_codomain) ).

cnf(monomorphism2,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),X3,ifeq(compose(X1,b),X3,X1,X2),X2),X2),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism2) ).

cnf(monomorphism1,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),X3,ifeq(compose(X1,a),X3,X1,X2),X2),X2),X2) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism1) ).

cnf(codomain_composition,axiom,
    compose(X1,codomain(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_composition) ).

cnf(domain_composition,axiom,
    compose(domain(X1),X1) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_composition) ).

cnf(prove_h_equals_g,negated_conjecture,
    h != g,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).

cnf(c_0_15,hypothesis,
    codomain(g) = domain(compose(a,b)),
    codomain_of_g_equals_domain_of_ab ).

cnf(c_0_16,hypothesis,
    codomain(h) = domain(compose(a,b)),
    codomain_of_h_equals_domain_of_ab ).

cnf(c_0_17,axiom,
    ifeq(codomain(X1),domain(X2),domain(compose(X1,X2)),domain(X1)) = domain(X1),
    codomain_domain1,
    [final] ).

cnf(c_0_18,hypothesis,
    codomain(a) = domain(b),
    codomain_of_a_equals_domain_of_b,
    [final] ).

cnf(c_0_19,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom,
    [final] ).

cnf(c_0_20,hypothesis,
    compose(h,compose(a,b)) = compose(g,compose(a,b)),
    h_ab_equals_g_ab,
    [final] ).

cnf(c_0_21,hypothesis,
    codomain(g) = codomain(h),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,hypothesis,
    codomain(h) = domain(a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_16]),c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_23,hypothesis,
    domain(compose(h,compose(a,b))) = domain(g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_20]),c_0_21]),c_0_16]),c_0_19]) ).

cnf(c_0_24,axiom,
    ifeq(codomain(X1),domain(X2),codomain(compose(X1,X2)),codomain(X2)) = codomain(X2),
    codomain_domain2,
    [final] ).

cnf(c_0_25,hypothesis,
    codomain(g) = domain(a),
    inference(rw,[status(thm)],[c_0_21,c_0_22]),
    [final] ).

cnf(c_0_26,hypothesis,
    domain(g) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_22]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_27,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(a,X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_18]),
    [final] ).

cnf(c_0_28,axiom,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(X1,X2)),compose(compose(X3,X1),X2)),compose(compose(X3,X1),X2)) = compose(compose(X3,X1),X2),
    star_property,
    [final] ).

cnf(c_0_29,axiom,
    codomain(domain(X1)) = domain(X1),
    codomain_of_domain_is_domain,
    [final] ).

cnf(c_0_30,axiom,
    domain(codomain(X1)) = codomain(X1),
    domain_of_codomain_is_codomain,
    [final] ).

cnf(c_0_31,hypothesis,
    ifeq(domain(a),domain(X1),domain(compose(g,X1)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_26]),c_0_26]),
    [final] ).

cnf(c_0_32,hypothesis,
    ifeq(domain(a),domain(X1),codomain(compose(g,X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_25]),
    [final] ).

cnf(c_0_33,hypothesis,
    ifeq(domain(a),domain(X1),domain(compose(h,X1)),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_17,c_0_22]),
    [final] ).

cnf(c_0_34,hypothesis,
    ifeq(domain(a),domain(X1),codomain(compose(h,X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_22]),
    [final] ).

cnf(c_0_35,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),X3,ifeq(compose(X1,b),X3,X1,X2),X2),X2),X2) = X2,
    monomorphism2,
    [final] ).

cnf(c_0_36,hypothesis,
    codomain(compose(h,compose(a,b))) = codomain(compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_20]),c_0_21]),c_0_16]),c_0_19]) ).

cnf(c_0_37,hypothesis,
    codomain(compose(a,b)) = codomain(b),
    inference(spm,[status(thm)],[c_0_19,c_0_27]),
    [final] ).

cnf(c_0_38,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(h,compose(X1,X2)),compose(compose(h,X1),X2)),compose(compose(h,X1),X2)) = compose(compose(h,X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_22]),
    [final] ).

cnf(c_0_39,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),X3,ifeq(compose(X1,a),X3,X1,X2),X2),X2),X2) = X2,
    monomorphism1,
    [final] ).

cnf(c_0_40,axiom,
    compose(X1,codomain(X1)) = X1,
    codomain_composition,
    [final] ).

cnf(c_0_41,axiom,
    compose(domain(X1),X1) = X1,
    domain_composition,
    [final] ).

cnf(c_0_42,hypothesis,
    domain(compose(h,compose(a,b))) = domain(h),
    inference(rw,[status(thm)],[c_0_23,c_0_26]),
    [final] ).

cnf(c_0_43,hypothesis,
    domain(compose(a,b)) = domain(a),
    inference(rw,[status(thm)],[c_0_16,c_0_22]),
    [final] ).

cnf(c_0_44,plain,
    codomain(codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_29,c_0_30]),
    [final] ).

cnf(c_0_45,plain,
    domain(domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_30,c_0_29]),
    [final] ).

cnf(c_0_46,hypothesis,
    domain(compose(g,a)) = domain(h),
    inference(spm,[status(thm)],[c_0_19,c_0_31]),
    [final] ).

cnf(c_0_47,hypothesis,
    codomain(compose(g,a)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_18]),
    [final] ).

cnf(c_0_48,hypothesis,
    domain(compose(h,a)) = domain(h),
    inference(spm,[status(thm)],[c_0_19,c_0_33]),
    [final] ).

cnf(c_0_49,hypothesis,
    codomain(compose(h,a)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_34]),c_0_18]),
    [final] ).

cnf(c_0_50,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),X3,ifeq(compose(domain(X1),b),X3,domain(X1),X2),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_35,c_0_29]),
    [final] ).

cnf(c_0_51,hypothesis,
    codomain(compose(h,compose(a,b))) = codomain(b),
    inference(rw,[status(thm)],[c_0_36,c_0_37]),
    [final] ).

cnf(c_0_52,hypothesis,
    ifeq(domain(b),domain(X1),compose(h,compose(a,X1)),compose(compose(h,a),X1)) = compose(compose(h,a),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_19]),c_0_18]),
    [final] ).

cnf(c_0_53,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X1,a),compose(X2,a),X1,X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_19]),
    [final] ).

cnf(c_0_54,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),compose(X1,a),X1,X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_19]),
    [final] ).

cnf(c_0_55,hypothesis,
    compose(g,codomain(h)) = g,
    inference(spm,[status(thm)],[c_0_40,c_0_21]) ).

cnf(c_0_56,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(b,X2,ifeq(compose(X1,b),X2,X1,domain(b)),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_57,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),compose(X1,b),X1,X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_35,c_0_19]),
    [final] ).

cnf(c_0_58,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X1,b),compose(X2,b),X1,X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_35,c_0_19]),
    [final] ).

cnf(c_0_59,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(a,X2,domain(a),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_60,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,compose(h,compose(a,b)))),compose(compose(X2,X1),compose(h,compose(a,b)))),compose(compose(X2,X1),compose(h,compose(a,b)))) = compose(compose(X2,X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_28,c_0_42]),
    [final] ).

cnf(c_0_61,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,compose(a,b)),X1)),compose(compose(X2,compose(h,compose(a,b))),X1)),compose(compose(X2,compose(h,compose(a,b))),X1)) = compose(compose(X2,compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_62,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,compose(a,b))),compose(compose(X2,X1),compose(a,b))),compose(compose(X2,X1),compose(a,b))) = compose(compose(X2,X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_28,c_0_43]),
    [final] ).

cnf(c_0_63,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(compose(a,b),X1)),compose(compose(X2,compose(a,b)),X1)),compose(compose(X2,compose(a,b)),X1)) = compose(compose(X2,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_64,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(X1,X2)),compose(compose(codomain(X3),X1),X2)),compose(compose(codomain(X3),X1),X2)) = compose(compose(codomain(X3),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_44]),
    [final] ).

cnf(c_0_65,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(a,X1)),compose(compose(X2,a),X1)),compose(compose(X2,a),X1)) = compose(compose(X2,a),X1),
    inference(spm,[status(thm)],[c_0_28,c_0_18]),
    [final] ).

cnf(c_0_66,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(X1,domain(X2))),compose(compose(X3,X1),domain(X2))),compose(compose(X3,X1),domain(X2))) = compose(compose(X3,X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_28,c_0_45]),
    [final] ).

cnf(c_0_67,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(X1,codomain(X2))),compose(compose(X3,X1),codomain(X2))),compose(compose(X3,X1),codomain(X2))) = compose(compose(X3,X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_28,c_0_30]),
    [final] ).

cnf(c_0_68,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(g,a),X1)),compose(compose(X2,compose(g,a)),X1)),compose(compose(X2,compose(g,a)),X1)) = compose(compose(X2,compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_69,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,compose(h,a))),compose(compose(X2,X1),compose(h,a))),compose(compose(X2,X1),compose(h,a))) = compose(compose(X2,X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_28,c_0_48]),
    [final] ).

cnf(c_0_70,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,a),X1)),compose(compose(X2,compose(h,a)),X1)),compose(compose(X2,compose(h,a)),X1)) = compose(compose(X2,compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_71,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(X1,X2)),compose(compose(domain(X3),X1),X2)),compose(compose(domain(X3),X1),X2)) = compose(compose(domain(X3),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_29]),
    [final] ).

cnf(c_0_72,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(a,compose(X1,X2)),compose(compose(a,X1),X2)),compose(compose(a,X1),X2)) = compose(compose(a,X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_18]),
    [final] ).

cnf(c_0_73,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,g)),compose(compose(X2,X1),g)),compose(compose(X2,X1),g)) = compose(compose(X2,X1),g),
    inference(spm,[status(thm)],[c_0_28,c_0_26]),
    [final] ).

cnf(c_0_74,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(h,X1)),compose(compose(X2,h),X1)),compose(compose(X2,h),X1)) = compose(compose(X2,h),X1),
    inference(spm,[status(thm)],[c_0_28,c_0_22]),
    [final] ).

cnf(c_0_75,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(g,X1)),compose(compose(X2,g),X1)),compose(compose(X2,g),X1)) = compose(compose(X2,g),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26]),
    [final] ).

cnf(c_0_76,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(g,compose(X1,X2)),compose(compose(g,X1),X2)),compose(compose(g,X1),X2)) = compose(compose(g,X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_25]),
    [final] ).

cnf(c_0_77,plain,
    ifeq(domain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(domain(X1),X2)),compose(compose(X3,domain(X1)),X2)),compose(compose(X3,domain(X1)),X2)) = compose(compose(X3,domain(X1)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_78,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),codomain(X1),compose(X3,compose(codomain(X1),X2)),compose(compose(X3,codomain(X1)),X2)),compose(compose(X3,codomain(X1)),X2)) = compose(compose(X3,codomain(X1)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_79,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,X2)),compose(compose(compose(a,b),X1),X2)),compose(compose(compose(a,b),X1),X2)) = compose(compose(compose(a,b),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_37]),
    [final] ).

cnf(c_0_80,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(compose(X1,X2)),domain(X1),compose(X1,X2),compose(compose(domain(compose(X1,X2)),X1),X2)),compose(compose(domain(compose(X1,X2)),X1),X2)) = compose(compose(domain(compose(X1,X2)),X1),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_81,plain,
    ifeq(codomain(X1),codomain(compose(X2,X1)),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,codomain(compose(X2,X1)))),compose(X2,X1)),compose(X2,X1)) = compose(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_30]),
    [final] ).

cnf(c_0_82,hypothesis,
    compose(compose(g,a),b) = compose(h,compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_18]),c_0_21]),c_0_22]),c_0_19]),c_0_19]),
    [final] ).

cnf(c_0_83,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(b,X2,domain(b),X1),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_84,hypothesis,
    compose(domain(h),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_41,c_0_42]),
    [final] ).

cnf(c_0_85,hypothesis,
    compose(domain(a),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_41,c_0_43]),
    [final] ).

cnf(c_0_86,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),X3,ifeq(compose(X1,a),X3,X1,domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_39,c_0_29]),
    [final] ).

cnf(c_0_87,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(domain(a),b),X2,domain(a),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_19,c_0_50]),
    [final] ).

cnf(c_0_88,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,X2,ifeq(compose(X1,a),X2,X1,domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_89,hypothesis,
    compose(compose(h,compose(a,b)),codomain(b)) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_40,c_0_51]),
    [final] ).

cnf(c_0_90,plain,
    compose(codomain(X1),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_41,c_0_30]),
    [final] ).

cnf(c_0_91,plain,
    compose(domain(X1),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_40,c_0_29]),
    [final] ).

cnf(c_0_92,hypothesis,
    compose(compose(h,a),b) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_19,c_0_52]),
    [final] ).

cnf(c_0_93,hypothesis,
    compose(domain(h),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_41,c_0_48]),
    [final] ).

cnf(c_0_94,hypothesis,
    compose(compose(a,b),codomain(b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_40,c_0_37]),
    [final] ).

cnf(c_0_95,hypothesis,
    compose(a,domain(b)) = a,
    inference(spm,[status(thm)],[c_0_40,c_0_18]),
    [final] ).

cnf(c_0_96,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X1,a),compose(codomain(X2),a),X1,codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_53,c_0_44]),
    [final] ).

cnf(c_0_97,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),compose(X1,a),X1,codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_54,c_0_44]),
    [final] ).

cnf(c_0_98,plain,
    ifeq(codomain(X1),domain(X2),compose(domain(X1),compose(X1,X2)),compose(X1,X2)) = compose(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_99,hypothesis,
    compose(compose(h,a),domain(b)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_40,c_0_49]),
    [final] ).

cnf(c_0_100,hypothesis,
    compose(h,domain(a)) = h,
    inference(spm,[status(thm)],[c_0_40,c_0_22]),
    [final] ).

cnf(c_0_101,hypothesis,
    compose(g,domain(a)) = g,
    inference(rw,[status(thm)],[c_0_55,c_0_22]),
    [final] ).

cnf(c_0_102,hypothesis,
    compose(domain(h),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_41,c_0_46]),
    [final] ).

cnf(c_0_103,hypothesis,
    compose(domain(h),g) = g,
    inference(spm,[status(thm)],[c_0_41,c_0_26]),
    [final] ).

cnf(c_0_104,plain,
    ifeq(codomain(X1),domain(X2),compose(X1,compose(codomain(X1),X2)),compose(X1,X2)) = compose(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_30]),c_0_19]),c_0_44]),
    [final] ).

cnf(c_0_105,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(h,a),compose(X1,a),h,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_106,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(g,a),compose(X1,a),g,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_107,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(h,a),h,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_108,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(g,a),g,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_109,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,b),b,X1,domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_19]),
    [final] ).

cnf(c_0_110,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(b,compose(X1,b),X1,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_111,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,b),compose(a,b),X1,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_112,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,b),compose(X1,b),X1,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_113,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(a,compose(X1,a),domain(a),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_59,c_0_19]),
    [final] ).

cnf(c_0_114,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),a,domain(a),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_59,c_0_19]),
    [final] ).

cnf(c_0_115,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(g,b),g,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_116,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(h,b),h,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_117,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(g,b),compose(X1,b),g,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_118,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(h,b),compose(X1,b),h,X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_119,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,b),X2,ifeq(compose(X1,b),X2,X1,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_120,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,a),X2,ifeq(compose(X1,a),X2,X1,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_121,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(X1,compose(h,a)),compose(h,compose(a,b)))),compose(compose(X1,compose(h,a)),compose(h,compose(a,b)))) = compose(compose(X1,compose(h,a)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_122,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(X1,compose(g,a)),compose(h,compose(a,b)))),compose(compose(X1,compose(g,a)),compose(h,compose(a,b)))) = compose(compose(X1,compose(g,a)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_123,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),X1)),compose(compose(compose(a,b),compose(h,compose(a,b))),X1)),compose(compose(compose(a,b),compose(h,compose(a,b))),X1)) = compose(compose(compose(a,b),compose(h,compose(a,b))),X1),
    inference(spm,[status(thm)],[c_0_61,c_0_37]),
    [final] ).

cnf(c_0_124,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),X1)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X1)),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X1)) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),X1),
    inference(spm,[status(thm)],[c_0_61,c_0_51]),
    [final] ).

cnf(c_0_125,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),X1)),compose(compose(compose(h,a),compose(h,compose(a,b))),X1)),compose(compose(compose(h,a),compose(h,compose(a,b))),X1)) = compose(compose(compose(h,a),compose(h,compose(a,b))),X1),
    inference(spm,[status(thm)],[c_0_61,c_0_49]),
    [final] ).

cnf(c_0_126,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),X1)),compose(compose(compose(g,a),compose(h,compose(a,b))),X1)),compose(compose(compose(g,a),compose(h,compose(a,b))),X1)) = compose(compose(compose(g,a),compose(h,compose(a,b))),X1),
    inference(spm,[status(thm)],[c_0_61,c_0_47]),
    [final] ).

cnf(c_0_127,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(X1,compose(h,compose(a,b))),compose(a,b))),compose(compose(X1,compose(h,compose(a,b))),compose(a,b))) = compose(compose(X1,compose(h,compose(a,b))),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_128,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),compose(a,b))),compose(compose(X1,compose(h,a)),compose(a,b))),compose(compose(X1,compose(h,a)),compose(a,b))) = compose(compose(X1,compose(h,a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_129,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),compose(a,b))),compose(compose(X1,compose(g,a)),compose(a,b))),compose(compose(X1,compose(g,a)),compose(a,b))) = compose(compose(X1,compose(g,a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_130,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),X1)),compose(compose(compose(a,b),compose(a,b)),X1)),compose(compose(compose(a,b),compose(a,b)),X1)) = compose(compose(compose(a,b),compose(a,b)),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_37]),
    [final] ).

cnf(c_0_131,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),X1)),compose(compose(compose(h,compose(a,b)),compose(a,b)),X1)),compose(compose(compose(h,compose(a,b)),compose(a,b)),X1)) = compose(compose(compose(h,compose(a,b)),compose(a,b)),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_51]),
    [final] ).

cnf(c_0_132,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),X1)),compose(compose(compose(h,a),compose(a,b)),X1)),compose(compose(compose(h,a),compose(a,b)),X1)) = compose(compose(compose(h,a),compose(a,b)),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_49]),
    [final] ).

cnf(c_0_133,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),X1)),compose(compose(compose(g,a),compose(a,b)),X1)),compose(compose(compose(g,a),compose(a,b)),X1)) = compose(compose(compose(g,a),compose(a,b)),X1),
    inference(spm,[status(thm)],[c_0_63,c_0_47]),
    [final] ).

cnf(c_0_134,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(compose(a,b),X1)),compose(compose(codomain(X2),compose(a,b)),X1)),compose(compose(codomain(X2),compose(a,b)),X1)) = compose(compose(codomain(X2),compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_135,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,compose(a,b)),X1)),compose(compose(codomain(X2),compose(h,compose(a,b))),X1)),compose(compose(codomain(X2),compose(h,compose(a,b))),X1)) = compose(compose(codomain(X2),compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_136,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,X1)),compose(compose(compose(h,compose(a,b)),a),X1)),compose(compose(compose(h,compose(a,b)),a),X1)) = compose(compose(compose(h,compose(a,b)),a),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_51]),
    [final] ).

cnf(c_0_137,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(compose(a,b),domain(X1))),compose(compose(X2,compose(a,b)),domain(X1))),compose(compose(X2,compose(a,b)),domain(X1))) = compose(compose(X2,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_138,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,compose(a,b)),domain(X1))),compose(compose(X2,compose(h,compose(a,b))),domain(X1))),compose(compose(X2,compose(h,compose(a,b))),domain(X1))) = compose(compose(X2,compose(h,compose(a,b))),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_139,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,a),domain(X1))),compose(compose(X2,compose(h,a)),domain(X1))),compose(compose(X2,compose(h,a)),domain(X1))) = compose(compose(X2,compose(h,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_140,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(g,a),domain(X1))),compose(compose(X2,compose(g,a)),domain(X1))),compose(compose(X2,compose(g,a)),domain(X1))) = compose(compose(X2,compose(g,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_141,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(compose(a,b),codomain(X1))),compose(compose(X2,compose(a,b)),codomain(X1))),compose(compose(X2,compose(a,b)),codomain(X1))) = compose(compose(X2,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_142,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(X2,compose(h,compose(a,b))),codomain(X1))),compose(compose(X2,compose(h,compose(a,b))),codomain(X1))) = compose(compose(X2,compose(h,compose(a,b))),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_143,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(h,a),codomain(X1))),compose(compose(X2,compose(h,a)),codomain(X1))),compose(compose(X2,compose(h,a)),codomain(X1))) = compose(compose(X2,compose(h,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_144,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(compose(g,a),codomain(X1))),compose(compose(X2,compose(g,a)),codomain(X1))),compose(compose(X2,compose(g,a)),codomain(X1))) = compose(compose(X2,compose(g,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_145,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),compose(g,a))),compose(compose(X1,compose(g,a)),compose(g,a))),compose(compose(X1,compose(g,a)),compose(g,a))) = compose(compose(X1,compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_68,c_0_46]),
    [final] ).

cnf(c_0_146,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),compose(h,a))),compose(compose(X1,compose(g,a)),compose(h,a))),compose(compose(X1,compose(g,a)),compose(h,a))) = compose(compose(X1,compose(g,a)),compose(h,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_147,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),X1)),compose(compose(compose(h,compose(a,b)),compose(h,a)),X1)),compose(compose(compose(h,compose(a,b)),compose(h,a)),X1)) = compose(compose(compose(h,compose(a,b)),compose(h,a)),X1),
    inference(spm,[status(thm)],[c_0_70,c_0_51]),
    [final] ).

cnf(c_0_148,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(compose(a,b),X1)),compose(compose(domain(X2),compose(a,b)),X1)),compose(compose(domain(X2),compose(a,b)),X1)) = compose(compose(domain(X2),compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_149,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,compose(a,b)),X1)),compose(compose(domain(X2),compose(h,compose(a,b))),X1)),compose(compose(domain(X2),compose(h,compose(a,b))),X1)) = compose(compose(domain(X2),compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_150,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),X1)),compose(compose(a,compose(h,compose(a,b))),X1)),compose(compose(a,compose(h,compose(a,b))),X1)) = compose(compose(a,compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_151,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),g)),compose(compose(X1,compose(h,compose(a,b))),g)),compose(compose(X1,compose(h,compose(a,b))),g)) = compose(compose(X1,compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_152,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,X1)),compose(compose(compose(h,compose(a,b)),h),X1)),compose(compose(compose(h,compose(a,b)),h),X1)) = compose(compose(compose(h,compose(a,b)),h),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_51]),
    [final] ).

cnf(c_0_153,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,X1)),compose(compose(compose(h,compose(a,b)),g),X1)),compose(compose(compose(h,compose(a,b)),g),X1)) = compose(compose(compose(h,compose(a,b)),g),X1),
    inference(spm,[status(thm)],[c_0_75,c_0_51]),
    [final] ).

cnf(c_0_154,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),X1)),compose(compose(h,compose(h,compose(a,b))),X1)),compose(compose(h,compose(h,compose(a,b))),X1)) = compose(compose(h,compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_155,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,X1)),compose(compose(compose(a,b),a),X1)),compose(compose(compose(a,b),a),X1)) = compose(compose(compose(a,b),a),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_37]),
    [final] ).

cnf(c_0_156,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),X1)),compose(compose(g,compose(h,compose(a,b))),X1)),compose(compose(g,compose(h,compose(a,b))),X1)) = compose(compose(g,compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_157,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),X1)),compose(compose(a,compose(a,b)),X1)),compose(compose(a,compose(a,b)),X1)) = compose(compose(a,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_158,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,a),X1)),compose(compose(codomain(X2),compose(h,a)),X1)),compose(compose(codomain(X2),compose(h,a)),X1)) = compose(compose(codomain(X2),compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_159,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(g,a),X1)),compose(compose(codomain(X2),compose(g,a)),X1)),compose(compose(codomain(X2),compose(g,a)),X1)) = compose(compose(codomain(X2),compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_160,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),X2)),compose(compose(compose(a,b),domain(X1)),X2)),compose(compose(compose(a,b),domain(X1)),X2)) = compose(compose(compose(a,b),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_37]),
    [final] ).

cnf(c_0_161,plain,
    ifeq(domain(X1),domain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(domain(X1),X2)),compose(compose(domain(X3),domain(X1)),X2)),compose(compose(domain(X3),domain(X1)),X2)) = compose(compose(domain(X3),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_29]),
    [final] ).

cnf(c_0_162,plain,
    ifeq(domain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(domain(X1),X2)),compose(compose(codomain(X3),domain(X1)),X2)),compose(compose(codomain(X3),domain(X1)),X2)) = compose(compose(codomain(X3),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_44]),
    [final] ).

cnf(c_0_163,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),X2)),compose(compose(compose(h,compose(a,b)),domain(X1)),X2)),compose(compose(compose(h,compose(a,b)),domain(X1)),X2)) = compose(compose(compose(h,compose(a,b)),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_51]),
    [final] ).

cnf(c_0_164,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,a),X1)),compose(compose(domain(X2),compose(h,a)),X1)),compose(compose(domain(X2),compose(h,a)),X1)) = compose(compose(domain(X2),compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_165,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(g,a),X1)),compose(compose(domain(X2),compose(g,a)),X1)),compose(compose(domain(X2),compose(g,a)),X1)) = compose(compose(domain(X2),compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_166,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),X2)),compose(compose(compose(h,a),domain(X1)),X2)),compose(compose(compose(h,a),domain(X1)),X2)) = compose(compose(compose(h,a),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_49]),
    [final] ).

cnf(c_0_167,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),X2)),compose(compose(compose(g,a),domain(X1)),X2)),compose(compose(compose(g,a),domain(X1)),X2)) = compose(compose(compose(g,a),domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_47]),
    [final] ).

cnf(c_0_168,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,X1)),compose(compose(compose(h,a),a),X1)),compose(compose(compose(h,a),a),X1)) = compose(compose(compose(h,a),a),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_49]),
    [final] ).

cnf(c_0_169,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,X1)),compose(compose(compose(g,a),a),X1)),compose(compose(compose(g,a),a),X1)) = compose(compose(compose(g,a),a),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_47]),
    [final] ).

cnf(c_0_170,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(X3),codomain(X1),compose(domain(X3),compose(codomain(X1),X2)),compose(compose(domain(X3),codomain(X1)),X2)),compose(compose(domain(X3),codomain(X1)),X2)) = compose(compose(domain(X3),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_29]),
    [final] ).

cnf(c_0_171,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),codomain(X1),compose(codomain(X3),compose(codomain(X1),X2)),compose(compose(codomain(X3),codomain(X1)),X2)),compose(compose(codomain(X3),codomain(X1)),X2)) = compose(compose(codomain(X3),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_44]),
    [final] ).

cnf(c_0_172,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),X2)),compose(compose(compose(a,b),codomain(X1)),X2)),compose(compose(compose(a,b),codomain(X1)),X2)) = compose(compose(compose(a,b),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_37]),
    [final] ).

cnf(c_0_173,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),X2)),compose(compose(compose(h,compose(a,b)),codomain(X1)),X2)),compose(compose(compose(h,compose(a,b)),codomain(X1)),X2)) = compose(compose(compose(h,compose(a,b)),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_51]),
    [final] ).

cnf(c_0_174,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),X2)),compose(compose(compose(h,a),codomain(X1)),X2)),compose(compose(compose(h,a),codomain(X1)),X2)) = compose(compose(compose(h,a),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_49]),
    [final] ).

cnf(c_0_175,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(a,domain(X1))),compose(compose(X2,a),domain(X1))),compose(compose(X2,a),domain(X1))) = compose(compose(X2,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_66,c_0_18]),
    [final] ).

cnf(c_0_176,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),X2)),compose(compose(compose(g,a),codomain(X1)),X2)),compose(compose(compose(g,a),codomain(X1)),X2)) = compose(compose(compose(g,a),codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_47]),
    [final] ).

cnf(c_0_177,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(a),compose(X2,compose(a,codomain(X1))),compose(compose(X2,a),codomain(X1))),compose(compose(X2,a),codomain(X1))) = compose(compose(X2,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_67,c_0_18]),
    [final] ).

cnf(c_0_178,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(a,X1)),compose(compose(codomain(X2),a),X1)),compose(compose(codomain(X2),a),X1)) = compose(compose(codomain(X2),a),X1),
    inference(spm,[status(thm)],[c_0_65,c_0_44]),
    [final] ).

cnf(c_0_179,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(a,X1)),compose(compose(domain(X2),a),X1)),compose(compose(domain(X2),a),X1)) = compose(compose(domain(X2),a),X1),
    inference(spm,[status(thm)],[c_0_71,c_0_18]),
    [final] ).

cnf(c_0_180,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(a,compose(X1,domain(X2))),compose(compose(a,X1),domain(X2))),compose(compose(a,X1),domain(X2))) = compose(compose(a,X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_72,c_0_45]),
    [final] ).

cnf(c_0_181,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),X1)),compose(compose(compose(a,b),compose(g,a)),X1)),compose(compose(compose(a,b),compose(g,a)),X1)) = compose(compose(compose(a,b),compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_182,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(a,compose(X1,codomain(X2))),compose(compose(a,X1),codomain(X2))),compose(compose(a,X1),codomain(X2))) = compose(compose(a,X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_72,c_0_30]),
    [final] ).

cnf(c_0_183,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),X1)),compose(compose(compose(a,b),compose(h,a)),X1)),compose(compose(compose(a,b),compose(h,a)),X1)) = compose(compose(compose(a,b),compose(h,a)),X1),
    inference(spm,[status(thm)],[c_0_70,c_0_37]),
    [final] ).

cnf(c_0_184,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(compose(X1,compose(a,b))),domain(X1),compose(X1,compose(a,b)),compose(compose(domain(compose(X1,compose(a,b))),X1),compose(a,b))),compose(compose(domain(compose(X1,compose(a,b))),X1),compose(a,b))) = compose(compose(domain(compose(X1,compose(a,b))),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_80,c_0_43]),
    [final] ).

cnf(c_0_185,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,g)),compose(compose(compose(a,b),X1),g)),compose(compose(compose(a,b),X1),g)) = compose(compose(compose(a,b),X1),g),
    inference(spm,[status(thm)],[c_0_73,c_0_37]),
    [final] ).

cnf(c_0_186,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,X1)),compose(compose(compose(a,b),h),X1)),compose(compose(compose(a,b),h),X1)) = compose(compose(compose(a,b),h),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_37]),
    [final] ).

cnf(c_0_187,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,X1)),compose(compose(compose(a,b),g),X1)),compose(compose(compose(a,b),g),X1)) = compose(compose(compose(a,b),g),X1),
    inference(spm,[status(thm)],[c_0_75,c_0_37]),
    [final] ).

cnf(c_0_188,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),X1)),compose(compose(a,compose(h,a)),X1)),compose(compose(a,compose(h,a)),X1)) = compose(compose(a,compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_189,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),X1)),compose(compose(a,compose(g,a)),X1)),compose(compose(a,compose(g,a)),X1)) = compose(compose(a,compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_190,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),X2)),compose(compose(a,domain(X1)),X2)),compose(compose(a,domain(X1)),X2)) = compose(compose(a,domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_18]),
    [final] ).

cnf(c_0_191,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(X1,compose(h,compose(a,b)))),domain(X1),compose(X1,compose(h,compose(a,b))),compose(compose(domain(compose(X1,compose(h,compose(a,b)))),X1),compose(h,compose(a,b)))),compose(compose(domain(compose(X1,compose(h,compose(a,b)))),X1),compose(h,compose(a,b)))) = compose(compose(domain(compose(X1,compose(h,compose(a,b)))),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_80,c_0_42]),
    [final] ).

cnf(c_0_192,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),X2)),compose(compose(a,codomain(X1)),X2)),compose(compose(a,codomain(X1)),X2)) = compose(compose(a,codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_18]),
    [final] ).

cnf(c_0_193,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(X1,compose(h,a))),domain(X1),compose(X1,compose(h,a)),compose(compose(domain(compose(X1,compose(h,a))),X1),compose(h,a))),compose(compose(domain(compose(X1,compose(h,a))),X1),compose(h,a))) = compose(compose(domain(compose(X1,compose(h,a))),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_80,c_0_48]),
    [final] ).

cnf(c_0_194,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(X1,compose(g,a))),domain(X1),compose(X1,compose(g,a)),compose(compose(domain(compose(X1,compose(g,a))),X1),compose(g,a))),compose(compose(domain(compose(X1,compose(g,a))),X1),compose(g,a))) = compose(compose(domain(compose(X1,compose(g,a))),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_80,c_0_46]),
    [final] ).

cnf(c_0_195,plain,
    ifeq(domain(X1),domain(X2),ifeq(domain(compose(domain(X1),X2)),domain(X1),compose(domain(X1),X2),compose(compose(domain(compose(domain(X1),X2)),domain(X1)),X2)),compose(compose(domain(compose(domain(X1),X2)),domain(X1)),X2)) = compose(compose(domain(compose(domain(X1),X2)),domain(X1)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_196,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(compose(codomain(X1),X2)),codomain(X1),compose(codomain(X1),X2),compose(compose(domain(compose(codomain(X1),X2)),codomain(X1)),X2)),compose(compose(domain(compose(codomain(X1),X2)),codomain(X1)),X2)) = compose(compose(domain(compose(codomain(X1),X2)),codomain(X1)),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_197,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(compose(compose(a,b),X1)),domain(a),compose(compose(a,b),X1),compose(compose(domain(compose(compose(a,b),X1)),compose(a,b)),X1)),compose(compose(domain(compose(compose(a,b),X1)),compose(a,b)),X1)) = compose(compose(domain(compose(compose(a,b),X1)),compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_198,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(compose(compose(h,compose(a,b)),X1)),domain(h),compose(compose(h,compose(a,b)),X1),compose(compose(domain(compose(compose(h,compose(a,b)),X1)),compose(h,compose(a,b))),X1)),compose(compose(domain(compose(compose(h,compose(a,b)),X1)),compose(h,compose(a,b))),X1)) = compose(compose(domain(compose(compose(h,compose(a,b)),X1)),compose(h,compose(a,b))),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_199,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(h,domain(X1))),compose(compose(X2,h),domain(X1))),compose(compose(X2,h),domain(X1))) = compose(compose(X2,h),domain(X1)),
    inference(spm,[status(thm)],[c_0_66,c_0_22]),
    [final] ).

cnf(c_0_200,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(g,domain(X1))),compose(compose(X2,g),domain(X1))),compose(compose(X2,g),domain(X1))) = compose(compose(X2,g),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_201,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(h,codomain(X1))),compose(compose(X2,h),codomain(X1))),compose(compose(X2,h),codomain(X1))) = compose(compose(X2,h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_67,c_0_22]),
    [final] ).

cnf(c_0_202,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(X2),domain(h),compose(X2,compose(g,codomain(X1))),compose(compose(X2,g),codomain(X1))),compose(compose(X2,g),codomain(X1))) = compose(compose(X2,g),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_203,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(h,compose(X1,domain(X2))),compose(compose(h,X1),domain(X2))),compose(compose(h,X1),domain(X2))) = compose(compose(h,X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_38,c_0_45]),
    [final] ).

cnf(c_0_204,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(a),domain(X1),compose(h,compose(X1,codomain(X2))),compose(compose(h,X1),codomain(X2))),compose(compose(h,X1),codomain(X2))) = compose(compose(h,X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_38,c_0_30]),
    [final] ).

cnf(c_0_205,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(compose(h,a),X1)),domain(h),compose(compose(h,a),X1),compose(compose(domain(compose(compose(h,a),X1)),compose(h,a)),X1)),compose(compose(domain(compose(compose(h,a),X1)),compose(h,a)),X1)) = compose(compose(domain(compose(compose(h,a),X1)),compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_206,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),X2)),compose(compose(h,domain(X1)),X2)),compose(compose(h,domain(X1)),X2)) = compose(compose(h,domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_22]),
    [final] ).

cnf(c_0_207,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),X2)),compose(compose(g,domain(X1)),X2)),compose(compose(g,domain(X1)),X2)) = compose(compose(g,domain(X1)),X2),
    inference(spm,[status(thm)],[c_0_77,c_0_25]),
    [final] ).

cnf(c_0_208,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(compose(g,a),X1)),domain(h),compose(compose(g,a),X1),compose(compose(domain(compose(compose(g,a),X1)),compose(g,a)),X1)),compose(compose(domain(compose(compose(g,a),X1)),compose(g,a)),X1)) = compose(compose(domain(compose(compose(g,a),X1)),compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_209,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),X2)),compose(compose(h,codomain(X1)),X2)),compose(compose(h,codomain(X1)),X2)) = compose(compose(h,codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_22]),
    [final] ).

cnf(c_0_210,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),X2)),compose(compose(g,codomain(X1)),X2)),compose(compose(g,codomain(X1)),X2)) = compose(compose(g,codomain(X1)),X2),
    inference(spm,[status(thm)],[c_0_78,c_0_25]),
    [final] ).

cnf(c_0_211,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(compose(g,X1)),domain(h),compose(g,X1),compose(compose(domain(compose(g,X1)),g),X1)),compose(compose(domain(compose(g,X1)),g),X1)) = compose(compose(domain(compose(g,X1)),g),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_212,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(compose(X1,domain(X2))),domain(X1),compose(X1,domain(X2)),compose(compose(domain(compose(X1,domain(X2))),X1),domain(X2))),compose(compose(domain(compose(X1,domain(X2))),X1),domain(X2))) = compose(compose(domain(compose(X1,domain(X2))),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_80,c_0_45]),
    [final] ).

cnf(c_0_213,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(compose(X1,codomain(X2))),domain(X1),compose(X1,codomain(X2)),compose(compose(domain(compose(X1,codomain(X2))),X1),codomain(X2))),compose(compose(domain(compose(X1,codomain(X2))),X1),codomain(X2))) = compose(compose(domain(compose(X1,codomain(X2))),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_80,c_0_30]),
    [final] ).

cnf(c_0_214,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(h,compose(a,b)),X1)),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,codomain(compose(compose(h,compose(a,b)),X1)))),compose(compose(h,compose(a,b)),X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_51]),
    [final] ).

cnf(c_0_215,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),X1)),compose(compose(compose(h,a),compose(h,a)),X1)),compose(compose(compose(h,a),compose(h,a)),X1)) = compose(compose(compose(h,a),compose(h,a)),X1),
    inference(spm,[status(thm)],[c_0_70,c_0_49]),
    [final] ).

cnf(c_0_216,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),X1)),compose(compose(compose(g,a),compose(h,a)),X1)),compose(compose(compose(g,a),compose(h,a)),X1)) = compose(compose(compose(g,a),compose(h,a)),X1),
    inference(spm,[status(thm)],[c_0_70,c_0_47]),
    [final] ).

cnf(c_0_217,plain,
    ifeq(domain(X1),codomain(compose(X2,domain(X1))),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),codomain(compose(X2,domain(X1))))),compose(X2,domain(X1))),compose(X2,domain(X1))) = compose(X2,domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_218,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,g)),compose(compose(compose(h,a),X1),g)),compose(compose(compose(h,a),X1),g)) = compose(compose(compose(h,a),X1),g),
    inference(spm,[status(thm)],[c_0_73,c_0_49]),
    [final] ).

cnf(c_0_219,plain,
    ifeq(codomain(X1),codomain(compose(X2,codomain(X1))),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),codomain(compose(X2,codomain(X1))))),compose(X2,codomain(X1))),compose(X2,codomain(X1))) = compose(X2,codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_220,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,g)),compose(compose(compose(g,a),X1),g)),compose(compose(compose(g,a),X1),g)) = compose(compose(compose(g,a),X1),g),
    inference(spm,[status(thm)],[c_0_73,c_0_47]),
    [final] ).

cnf(c_0_221,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,X1)),compose(compose(compose(h,a),h),X1)),compose(compose(compose(h,a),h),X1)) = compose(compose(compose(h,a),h),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_49]),
    [final] ).

cnf(c_0_222,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,X1)),compose(compose(compose(g,a),h),X1)),compose(compose(compose(g,a),h),X1)) = compose(compose(compose(g,a),h),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_47]),
    [final] ).

cnf(c_0_223,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,X1)),compose(compose(compose(h,a),g),X1)),compose(compose(compose(h,a),g),X1)) = compose(compose(compose(h,a),g),X1),
    inference(spm,[status(thm)],[c_0_75,c_0_49]),
    [final] ).

cnf(c_0_224,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,X1)),compose(compose(compose(g,a),g),X1)),compose(compose(compose(g,a),g),X1)) = compose(compose(compose(g,a),g),X1),
    inference(spm,[status(thm)],[c_0_75,c_0_47]),
    [final] ).

cnf(c_0_225,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),g)),compose(compose(X1,compose(h,a)),g)),compose(compose(X1,compose(h,a)),g)) = compose(compose(X1,compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_226,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),g)),compose(compose(X1,compose(g,a)),g)),compose(compose(X1,compose(g,a)),g)) = compose(compose(X1,compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_227,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(h,a))),compose(compose(X1,h),compose(h,a))),compose(compose(X1,h),compose(h,a))) = compose(compose(X1,h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_74,c_0_48]),
    [final] ).

cnf(c_0_228,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(g,a))),compose(compose(X1,h),compose(g,a))),compose(compose(X1,h),compose(g,a))) = compose(compose(X1,h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_74,c_0_46]),
    [final] ).

cnf(c_0_229,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(g,compose(h,a))),compose(compose(X1,g),compose(h,a))),compose(compose(X1,g),compose(h,a))) = compose(compose(X1,g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_75,c_0_48]),
    [final] ).

cnf(c_0_230,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(g,compose(g,a))),compose(compose(X1,g),compose(g,a))),compose(compose(X1,g),compose(g,a))) = compose(compose(X1,g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_75,c_0_46]),
    [final] ).

cnf(c_0_231,hypothesis,
    ifeq(codomain(b),codomain(compose(X1,compose(a,b))),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),codomain(compose(X1,compose(a,b))))),compose(X1,compose(a,b))),compose(X1,compose(a,b))) = compose(X1,compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_232,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),X1)),compose(compose(h,compose(h,a)),X1)),compose(compose(h,compose(h,a)),X1)) = compose(compose(h,compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_233,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),X1)),compose(compose(h,compose(g,a)),X1)),compose(compose(h,compose(g,a)),X1)) = compose(compose(h,compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_234,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),X1)),compose(compose(g,compose(h,a)),X1)),compose(compose(g,compose(h,a)),X1)) = compose(compose(g,compose(h,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_235,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),X1)),compose(compose(g,compose(g,a)),X1)),compose(compose(g,compose(g,a)),X1)) = compose(compose(g,compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_236,hypothesis,
    ifeq(codomain(b),codomain(compose(X1,compose(h,compose(a,b)))),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),codomain(compose(X1,compose(h,compose(a,b)))))),compose(X1,compose(h,compose(a,b)))),compose(X1,compose(h,compose(a,b)))) = compose(X1,compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_237,hypothesis,
    ifeq(domain(b),codomain(compose(X1,compose(h,a))),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),codomain(compose(X1,compose(h,a))))),compose(X1,compose(h,a))),compose(X1,compose(h,a))) = compose(X1,compose(h,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_238,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(a,compose(a,X1)),compose(compose(a,a),X1)),compose(compose(a,a),X1)) = compose(compose(a,a),X1),
    inference(spm,[status(thm)],[c_0_72,c_0_18]),
    [final] ).

cnf(c_0_239,hypothesis,
    ifeq(domain(b),codomain(compose(X1,compose(g,a))),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(g,a),codomain(compose(X1,compose(g,a))))),compose(X1,compose(g,a))),compose(X1,compose(g,a))) = compose(X1,compose(g,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_240,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(h,X1)),compose(compose(codomain(X2),h),X1)),compose(compose(codomain(X2),h),X1)) = compose(compose(codomain(X2),h),X1),
    inference(spm,[status(thm)],[c_0_74,c_0_44]),
    [final] ).

cnf(c_0_241,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(g,X1)),compose(compose(codomain(X2),g),X1)),compose(compose(codomain(X2),g),X1)) = compose(compose(codomain(X2),g),X1),
    inference(spm,[status(thm)],[c_0_75,c_0_44]),
    [final] ).

cnf(c_0_242,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(h,X1)),compose(compose(domain(X2),h),X1)),compose(compose(domain(X2),h),X1)) = compose(compose(domain(X2),h),X1),
    inference(spm,[status(thm)],[c_0_71,c_0_22]),
    [final] ).

cnf(c_0_243,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(g,X1)),compose(compose(domain(X2),g),X1)),compose(compose(domain(X2),g),X1)) = compose(compose(domain(X2),g),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_244,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,g)),compose(compose(codomain(X2),X1),g)),compose(compose(codomain(X2),X1),g)) = compose(compose(codomain(X2),X1),g),
    inference(spm,[status(thm)],[c_0_64,c_0_26]),
    [final] ).

cnf(c_0_245,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,g)),compose(compose(domain(X2),X1),g)),compose(compose(domain(X2),X1),g)) = compose(compose(domain(X2),X1),g),
    inference(spm,[status(thm)],[c_0_71,c_0_26]),
    [final] ).

cnf(c_0_246,hypothesis,
    ifeq(codomain(X1),codomain(compose(h,X1)),ifeq(domain(a),domain(X1),compose(h,compose(X1,codomain(compose(h,X1)))),compose(h,X1)),compose(h,X1)) = compose(h,X1),
    inference(spm,[status(thm)],[c_0_81,c_0_22]),
    [final] ).

cnf(c_0_247,hypothesis,
    ifeq(codomain(X1),codomain(compose(g,X1)),ifeq(domain(a),domain(X1),compose(g,compose(X1,codomain(compose(g,X1)))),compose(g,X1)),compose(g,X1)) = compose(g,X1),
    inference(spm,[status(thm)],[c_0_81,c_0_25]),
    [final] ).

cnf(c_0_248,hypothesis,
    ifeq(domain(a),codomain(compose(X1,h)),ifeq(codomain(X1),domain(h),compose(X1,compose(h,codomain(compose(X1,h)))),compose(X1,h)),compose(X1,h)) = compose(X1,h),
    inference(spm,[status(thm)],[c_0_81,c_0_22]),
    [final] ).

cnf(c_0_249,hypothesis,
    ifeq(domain(a),codomain(compose(X1,g)),ifeq(codomain(X1),domain(h),compose(X1,compose(g,codomain(compose(X1,g)))),compose(X1,g)),compose(X1,g)) = compose(X1,g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_250,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X1,b),compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_58,c_0_51]),
    [final] ).

cnf(c_0_251,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(X1,b),compose(g,a),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_252,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(domain(X1),b),compose(X2,b),domain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_58,c_0_29]),
    [final] ).

cnf(c_0_253,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X1),b),compose(X2,b),codomain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_58,c_0_44]),
    [final] ).

cnf(c_0_254,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X1,b),X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_57,c_0_51]),
    [final] ).

cnf(c_0_255,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(a,b),X1)),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,codomain(compose(compose(a,b),X1)))),compose(compose(a,b),X1)),compose(compose(a,b),X1)) = compose(compose(a,b),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_37]),
    [final] ).

cnf(c_0_256,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(h,compose(a,b)),compose(g,a),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_257,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X1,b),compose(compose(a,b),b),X1,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_58,c_0_37]),
    [final] ).

cnf(c_0_258,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(X1,b),X1,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_57,c_0_37]),
    [final] ).

cnf(c_0_259,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(a,b),compose(X1,b),a,X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_58,c_0_18]),
    [final] ).

cnf(c_0_260,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X1,a),compose(compose(a,b),a),X1,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_53,c_0_37]),
    [final] ).

cnf(c_0_261,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(X1,a),compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_53,c_0_51]),
    [final] ).

cnf(c_0_262,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(X1,a),X1,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_54,c_0_37]),
    [final] ).

cnf(c_0_263,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X1,a),X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_54,c_0_51]),
    [final] ).

cnf(c_0_264,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(a,g)),compose(compose(X1,a),g)),compose(compose(X1,a),g)) = compose(compose(X1,a),g),
    inference(spm,[status(thm)],[c_0_65,c_0_26]),
    [final] ).

cnf(c_0_265,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(X1,compose(g,a))),compose(compose(X2,X1),compose(g,a))),compose(compose(X2,X1),compose(g,a))) = compose(compose(X2,X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_28,c_0_46]),
    [final] ).

cnf(c_0_266,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,X2)),compose(compose(compose(h,compose(a,b)),X1),X2)),compose(compose(compose(h,compose(a,b)),X1),X2)) = compose(compose(compose(h,compose(a,b)),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_51]),
    [final] ).

cnf(c_0_267,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(b,compose(X1,b),domain(b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_83,c_0_19]),
    [final] ).

cnf(c_0_268,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),b,domain(b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_83,c_0_19]),
    [final] ).

cnf(c_0_269,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X2,ifeq(compose(X1,b),X2,X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_35,c_0_51]),
    [final] ).

cnf(c_0_270,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(h,X1)),compose(compose(a,h),X1)),compose(compose(a,h),X1)) = compose(compose(a,h),X1),
    inference(spm,[status(thm)],[c_0_72,c_0_22]),
    [final] ).

cnf(c_0_271,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(X1,g)),compose(compose(a,X1),g)),compose(compose(a,X1),g)) = compose(compose(a,X1),g),
    inference(spm,[status(thm)],[c_0_72,c_0_26]),
    [final] ).

cnf(c_0_272,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(g,X1)),compose(compose(a,g),X1)),compose(compose(a,g),X1)) = compose(compose(a,g),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_273,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(h,a),X1)),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,codomain(compose(compose(h,a),X1)))),compose(compose(h,a),X1)),compose(compose(h,a),X1)) = compose(compose(h,a),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_49]),
    [final] ).

cnf(c_0_274,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(g,a),X1)),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,codomain(compose(compose(g,a),X1)))),compose(compose(g,a),X1)),compose(compose(g,a),X1)) = compose(compose(g,a),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_47]),
    [final] ).

cnf(c_0_275,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X2,ifeq(compose(X1,a),X2,X1,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_39,c_0_51]),
    [final] ).

cnf(c_0_276,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(compose(h,compose(a,b)),b),X2,compose(h,compose(a,b)),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_35,c_0_51]),
    [final] ).

cnf(c_0_277,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(compose(h,compose(a,b)),a),X2,compose(h,compose(a,b)),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_51]),
    [final] ).

cnf(c_0_278,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X2,ifeq(compose(X1,b),X2,X1,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_35,c_0_37]),
    [final] ).

cnf(c_0_279,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X2,ifeq(compose(X1,a),X2,X1,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_39,c_0_37]),
    [final] ).

cnf(c_0_280,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(compose(a,b),b),X2,compose(a,b),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_35,c_0_37]),
    [final] ).

cnf(c_0_281,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(compose(a,b),a),X2,compose(a,b),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_37]),
    [final] ).

cnf(c_0_282,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,domain(h)),compose(h,compose(a,b)))) = compose(compose(X1,domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_283,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(h,compose(a,b)),X2,compose(g,a),X1),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_284,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(X1,b),compose(domain(X2),b),X1,domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_58,c_0_29]),
    [final] ).

cnf(c_0_285,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X1,b),compose(codomain(X2),b),X1,codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_58,c_0_44]),
    [final] ).

cnf(c_0_286,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),compose(X1,b),X1,domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_57,c_0_29]),
    [final] ).

cnf(c_0_287,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),compose(X1,b),X1,codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_57,c_0_44]),
    [final] ).

cnf(c_0_288,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(X1,a),compose(domain(X2),a),X1,domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_53,c_0_29]),
    [final] ).

cnf(c_0_289,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(h,X1)),compose(compose(h,h),X1)),compose(compose(h,h),X1)) = compose(compose(h,h),X1),
    inference(spm,[status(thm)],[c_0_38,c_0_22]),
    [final] ).

cnf(c_0_290,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(X1,g)),compose(compose(h,X1),g)),compose(compose(h,X1),g)) = compose(compose(h,X1),g),
    inference(spm,[status(thm)],[c_0_38,c_0_26]),
    [final] ).

cnf(c_0_291,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(g,X1)),compose(compose(h,g),X1)),compose(compose(h,g),X1)) = compose(compose(h,g),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_292,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(h,X1)),compose(compose(g,h),X1)),compose(compose(g,h),X1)) = compose(compose(g,h),X1),
    inference(spm,[status(thm)],[c_0_76,c_0_22]),
    [final] ).

cnf(c_0_293,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(X1,g)),compose(compose(g,X1),g)),compose(compose(g,X1),g)) = compose(compose(g,X1),g),
    inference(spm,[status(thm)],[c_0_76,c_0_26]),
    [final] ).

cnf(c_0_294,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),compose(X1,a),X1,domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_54,c_0_29]),
    [final] ).

cnf(c_0_295,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(g,X1)),compose(compose(g,g),X1)),compose(compose(g,g),X1)) = compose(compose(g,g),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_26]),c_0_21]),c_0_22]),
    [final] ).

cnf(c_0_296,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(h,g)),compose(compose(X1,h),g)),compose(compose(X1,h),g)) = compose(compose(X1,h),g),
    inference(spm,[status(thm)],[c_0_74,c_0_26]),
    [final] ).

cnf(c_0_297,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(g,g)),compose(compose(X1,g),g)),compose(compose(X1,g),g)) = compose(compose(X1,g),g),
    inference(spm,[status(thm)],[c_0_75,c_0_26]),
    [final] ).

cnf(c_0_298,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(X1,b),X2,X1,compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_299,plain,
    ifeq(codomain(X1),codomain(compose(domain(X2),X1)),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,codomain(compose(domain(X2),X1)))),compose(domain(X2),X1)),compose(domain(X2),X1)) = compose(domain(X2),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_29]),
    [final] ).

cnf(c_0_300,plain,
    ifeq(codomain(X1),codomain(compose(codomain(X2),X1)),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,codomain(compose(codomain(X2),X1)))),compose(codomain(X2),X1)),compose(codomain(X2),X1)) = compose(codomain(X2),X1),
    inference(spm,[status(thm)],[c_0_81,c_0_44]),
    [final] ).

cnf(c_0_301,hypothesis,
    ifeq(codomain(X1),domain(a),compose(X1,compose(a,b)),compose(compose(X1,domain(a)),compose(a,b))) = compose(compose(X1,domain(a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_85]),c_0_29]),c_0_16]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_302,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(domain(b),a),X2,ifeq(compose(X1,a),X2,X1,domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_86,c_0_19]),
    [final] ).

cnf(c_0_303,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(a,b),a,X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_57,c_0_18]),
    [final] ).

cnf(c_0_304,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(X1,g)),domain(X1),compose(X1,g),compose(compose(domain(compose(X1,g)),X1),g)),compose(compose(domain(compose(X1,g)),X1),g)) = compose(compose(domain(compose(X1,g)),X1),g),
    inference(spm,[status(thm)],[c_0_80,c_0_26]),
    [final] ).

cnf(c_0_305,hypothesis,
    ifeq(codomain(b),domain(X1),compose(h,compose(compose(a,b),X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_43]),c_0_37]),c_0_19]),
    [final] ).

cnf(c_0_306,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),X3,ifeq(compose(X1,b),X3,X1,codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_35,c_0_44]),
    [final] ).

cnf(c_0_307,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,h),compose(a,b))) = compose(compose(X1,h),compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_43]),c_0_19]),
    [final] ).

cnf(c_0_308,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,compose(g,a)),b)) = compose(compose(X1,compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_309,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(domain(a),b),compose(X1,b),domain(a),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_87,c_0_19]),
    [final] ).

cnf(c_0_310,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(domain(a),b),domain(a),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_87,c_0_19]),
    [final] ).

cnf(c_0_311,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),X3,ifeq(compose(X1,a),X3,X1,codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_39,c_0_44]),
    [final] ).

cnf(c_0_312,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),X3,ifeq(compose(codomain(X1),b),X3,codomain(X1),X2),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_35,c_0_44]),
    [final] ).

cnf(c_0_313,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),X3,ifeq(compose(codomain(X1),a),X3,codomain(X1),X2),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_44]),
    [final] ).

cnf(c_0_314,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X1,a),a,X1,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_19]),
    [final] ).

cnf(c_0_315,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(X1,a),X1,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_316,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,compose(h,compose(a,b))),codomain(b))) = compose(compose(X1,compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_317,hypothesis,
    compose(compose(g,a),domain(b)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_40,c_0_47]),
    [final] ).

cnf(c_0_318,plain,
    ifeq(codomain(X1),codomain(X2),compose(X1,codomain(X2)),compose(compose(X1,codomain(X2)),codomain(X2))) = compose(compose(X1,codomain(X2)),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_319,plain,
    ifeq(codomain(X1),domain(X2),compose(X1,domain(X2)),compose(compose(X1,domain(X2)),domain(X2))) = compose(compose(X1,domain(X2)),domain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_320,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(compose(g,a),a),X2,compose(g,a),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_47]),
    [final] ).

cnf(c_0_321,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(h,a),a),X2,ifeq(compose(X1,a),X2,X1,compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_322,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(h,compose(a,b)),X2,compose(h,a),X1),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_323,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(compose(h,a),a),X2,compose(h,a),X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_49]),
    [final] ).

cnf(c_0_324,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,a)),compose(compose(X1,domain(h)),compose(h,a))) = compose(compose(X1,domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_325,hypothesis,
    ifeq(codomain(X1),codomain(compose(a,X1)),ifeq(domain(b),domain(X1),compose(a,compose(X1,codomain(compose(a,X1)))),compose(a,X1)),compose(a,X1)) = compose(a,X1),
    inference(spm,[status(thm)],[c_0_81,c_0_18]),
    [final] ).

cnf(c_0_326,hypothesis,
    ifeq(codomain(X1),domain(a),compose(X1,compose(a,b)),compose(compose(X1,a),b)) = compose(compose(X1,a),b),
    inference(spm,[status(thm)],[c_0_19,c_0_65]),
    [final] ).

cnf(c_0_327,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(codomain(b),X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_328,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,b),compose(h,compose(a,b)),X1,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_329,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,b),compose(h,compose(a,b)),X1,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_330,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(X1,b),X1,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_331,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(X1,b),X1,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_332,hypothesis,
    ifeq(codomain(X1),domain(a),compose(X1,compose(a,b)),compose(compose(X1,compose(a,b)),codomain(b))) = compose(compose(X1,compose(a,b)),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_333,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,a),compose(compose(h,a),a),X1,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_334,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,a),compose(compose(g,a),a),X1,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_335,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(h,a),a),compose(X1,a),X1,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_336,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(g,a),a),compose(X1,a),X1,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_337,hypothesis,
    ifeq(codomain(X1),domain(a),compose(X1,a),compose(compose(X1,a),domain(b))) = compose(compose(X1,a),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_95]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_338,plain,
    ifeq(domain(X1),domain(X2),compose(domain(X1),compose(domain(X1),X2)),compose(domain(X1),X2)) = compose(domain(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_91]),c_0_29]),c_0_29]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_339,hypothesis,
    ifeq(codomain(b),domain(X1),compose(a,compose(b,X1)),compose(compose(a,b),X1)) = compose(compose(a,b),X1),
    inference(spm,[status(thm)],[c_0_72,c_0_19]),
    [final] ).

cnf(c_0_340,hypothesis,
    ifeq(codomain(b),domain(X1),compose(domain(h),compose(compose(h,compose(a,b)),X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_84]),c_0_36]),c_0_29]),c_0_42]),c_0_19]),c_0_37]),
    [final] ).

cnf(c_0_341,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,a),compose(domain(b),a),X1,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_342,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(domain(b),a),compose(X1,a),X1,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_343,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X1,b),compose(h,b),X1,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_58,c_0_22]),
    [final] ).

cnf(c_0_344,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X1,b),compose(g,b),X1,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_58,c_0_25]),
    [final] ).

cnf(c_0_345,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(X1,b),X1,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_57,c_0_22]),
    [final] ).

cnf(c_0_346,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(X1,b),X1,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_57,c_0_25]),
    [final] ).

cnf(c_0_347,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X1,a),compose(h,a),X1,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_53,c_0_22]),
    [final] ).

cnf(c_0_348,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(X1,a),compose(g,a),X1,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_53,c_0_25]),
    [final] ).

cnf(c_0_349,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(X1,a),X1,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_54,c_0_22]),
    [final] ).

cnf(c_0_350,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(X1,a),X1,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_54,c_0_25]),
    [final] ).

cnf(c_0_351,plain,
    ifeq(codomain(X1),domain(X2),compose(X1,X2),compose(compose(X1,X2),codomain(X2))) = compose(compose(X1,X2),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_352,plain,
    ifeq(codomain(X1),domain(X2),compose(X1,X2),compose(compose(X1,domain(X2)),X2)) = compose(compose(X1,domain(X2)),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_41]),c_0_29]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_353,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,g),compose(a,b))) = compose(compose(X1,g),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21]),c_0_22]),c_0_16]),c_0_22]),c_0_19]),c_0_26]),
    [final] ).

cnf(c_0_354,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(codomain(b),X1)),compose(compose(a,b),X1)) = compose(compose(a,b),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_355,hypothesis,
    ifeq(codomain(b),domain(X1),compose(domain(a),compose(compose(a,b),X1)),compose(compose(a,b),X1)) = compose(compose(a,b),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_85]),c_0_29]),c_0_16]),c_0_22]),c_0_19]),c_0_37]),
    [final] ).

cnf(c_0_356,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,X2)),compose(compose(compose(g,a),X1),X2)),compose(compose(compose(g,a),X1),X2)) = compose(compose(compose(g,a),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_47]),
    [final] ).

cnf(c_0_357,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,X2)),compose(compose(compose(h,a),X1),X2)),compose(compose(compose(h,a),X1),X2)) = compose(compose(compose(h,a),X1),X2),
    inference(spm,[status(thm)],[c_0_28,c_0_49]),
    [final] ).

cnf(c_0_358,hypothesis,
    ifeq(domain(b),domain(X1),compose(g,compose(a,X1)),compose(compose(g,a),X1)) = compose(compose(g,a),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_19]),c_0_18]),
    [final] ).

cnf(c_0_359,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,a)),compose(compose(X1,h),a)) = compose(compose(X1,h),a),
    inference(spm,[status(thm)],[c_0_19,c_0_74]),
    [final] ).

cnf(c_0_360,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(a),compose(a,X1)),compose(a,X1)) = compose(a,X1),
    inference(spm,[status(thm)],[c_0_98,c_0_18]),
    [final] ).

cnf(c_0_361,hypothesis,
    ifeq(domain(b),domain(X1),compose(a,compose(domain(b),X1)),compose(a,X1)) = compose(a,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_95]),c_0_29]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_362,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(g,a)),compose(compose(X1,g),a)) = compose(compose(X1,g),a),
    inference(spm,[status(thm)],[c_0_19,c_0_75]),
    [final] ).

cnf(c_0_363,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(g,a),compose(b,X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_364,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,a)),compose(compose(X1,compose(h,a)),domain(b))) = compose(compose(X1,compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_365,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,h),compose(compose(X1,h),domain(a))) = compose(compose(X1,h),domain(a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_100]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_366,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,g),compose(compose(X1,g),domain(a))) = compose(compose(X1,g),domain(a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_101]),c_0_21]),c_0_22]),c_0_45]),c_0_19]),c_0_26]),
    [final] ).

cnf(c_0_367,hypothesis,
    ifeq(codomain(b),domain(X1),compose(g,compose(compose(a,b),X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21]),c_0_22]),c_0_16]),c_0_22]),c_0_19]),c_0_37]),
    [final] ).

cnf(c_0_368,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X2,ifeq(compose(X1,b),X2,X1,g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_35,c_0_25]),
    [final] ).

cnf(c_0_369,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X2,ifeq(compose(X1,a),X2,X1,g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_39,c_0_25]),
    [final] ).

cnf(c_0_370,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(g,b),X2,g,X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_371,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(g,a),X2,g,X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_372,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X2,ifeq(compose(X1,b),X2,X1,h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_35,c_0_22]),
    [final] ).

cnf(c_0_373,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X2,ifeq(compose(X1,a),X2,X1,h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_39,c_0_22]),
    [final] ).

cnf(c_0_374,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(h,b),X2,h,X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_375,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(h,a),X2,h,X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_376,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(g,a)),compose(compose(X1,domain(h)),compose(g,a))) = compose(compose(X1,domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_377,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,g),compose(compose(X1,domain(h)),g)) = compose(compose(X1,domain(h)),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_103]),c_0_29]),c_0_26]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_378,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),X2,ifeq(compose(a,b),X2,a,X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_35,c_0_18]),
    [final] ).

cnf(c_0_379,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(X1,a),compose(a,a),X1,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_380,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,a),compose(X1,a),X1,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_381,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(codomain(X1),g)),compose(X1,g)) = compose(X1,g),
    inference(spm,[status(thm)],[c_0_104,c_0_26]),
    [final] ).

cnf(c_0_382,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),X3,ifeq(compose(X1,b),X3,X1,domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_35,c_0_29]),
    [final] ).

cnf(c_0_383,hypothesis,
    ifeq(domain(a),domain(X1),compose(h,compose(domain(a),X1)),compose(h,X1)) = compose(h,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_100]),c_0_29]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_384,hypothesis,
    ifeq(domain(a),domain(X1),compose(g,compose(domain(a),X1)),compose(g,X1)) = compose(g,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_101]),c_0_29]),c_0_21]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_385,plain,
    ifeq(codomain(X1),domain(X2),compose(codomain(X1),compose(codomain(X1),X2)),compose(codomain(X1),X2)) = compose(codomain(X1),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_90]),c_0_44]),c_0_44]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_386,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(h),compose(compose(h,a),X1)),compose(compose(h,a),X1)) = compose(compose(h,a),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_93]),c_0_29]),c_0_48]),c_0_19]),c_0_49]),
    [final] ).

cnf(c_0_387,hypothesis,
    ifeq(domain(a),domain(X1),compose(domain(h),compose(h,X1)),compose(h,X1)) = compose(h,X1),
    inference(spm,[status(thm)],[c_0_98,c_0_22]),
    [final] ).

cnf(c_0_388,hypothesis,
    ifeq(codomain(X1),domain(h),compose(domain(X1),compose(X1,g)),compose(X1,g)) = compose(X1,g),
    inference(spm,[status(thm)],[c_0_98,c_0_26]),
    [final] ).

cnf(c_0_389,hypothesis,
    ifeq(domain(a),domain(X1),compose(domain(h),compose(g,X1)),compose(g,X1)) = compose(g,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_103]),c_0_21]),c_0_22]),c_0_29]),c_0_26]),c_0_19]),
    [final] ).

cnf(c_0_390,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),X3,ifeq(compose(domain(X1),a),X3,domain(X1),X2),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_29]),
    [final] ).

cnf(c_0_391,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),X2,ifeq(compose(a,a),X2,a,X1),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_39,c_0_18]),
    [final] ).

cnf(c_0_392,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(domain(a),b),X1,domain(a),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_87,c_0_25]),
    [final] ).

cnf(c_0_393,hypothesis,
    ifeq(codomain(b),domain(X1),codomain(compose(compose(h,compose(a,b)),X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_51]),
    [final] ).

cnf(c_0_394,hypothesis,
    ifeq(codomain(X1),domain(a),codomain(compose(X1,compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_395,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X1),domain(b),X1,X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_19]),
    [final] ).

cnf(c_0_396,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(h,a),compose(codomain(X1),a),h,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_105,c_0_44]),
    [final] ).

cnf(c_0_397,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(g,a),compose(codomain(X1),a),g,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_106,c_0_44]),
    [final] ).

cnf(c_0_398,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(h,a),h,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_107,c_0_44]),
    [final] ).

cnf(c_0_399,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(g,a),g,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_108,c_0_44]),
    [final] ).

cnf(c_0_400,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),b),b,codomain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_109,c_0_44]),
    [final] ).

cnf(c_0_401,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(b,compose(codomain(X1),b),codomain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_110,c_0_44]),
    [final] ).

cnf(c_0_402,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(a,X2,domain(a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_59,c_0_44]),
    [final] ).

cnf(c_0_403,hypothesis,
    ifeq(codomain(b),domain(X1),domain(compose(compose(h,compose(a,b)),X1)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_51]),c_0_42]),c_0_42]),
    [final] ).

cnf(c_0_404,hypothesis,
    ifeq(codomain(b),domain(X1),domain(compose(compose(a,b),X1)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_37]),c_0_16]),c_0_22]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_405,hypothesis,
    ifeq(codomain(b),domain(X1),codomain(compose(compose(a,b),X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_37]),
    [final] ).

cnf(c_0_406,hypothesis,
    ifeq(codomain(X1),domain(a),domain(compose(X1,compose(a,b))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_43]),
    [final] ).

cnf(c_0_407,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(compose(g,a),X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_47]),
    [final] ).

cnf(c_0_408,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(compose(h,a),X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_24,c_0_49]),
    [final] ).

cnf(c_0_409,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(X1,compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_410,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(X1,compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_411,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),b),compose(a,b),codomain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_111,c_0_44]),
    [final] ).

cnf(c_0_412,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,b),compose(codomain(X1),b),codomain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_112,c_0_44]),
    [final] ).

cnf(c_0_413,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(a,compose(codomain(X1),a),domain(a),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_113,c_0_44]),
    [final] ).

cnf(c_0_414,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),a,domain(a),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_114,c_0_44]),
    [final] ).

cnf(c_0_415,hypothesis,
    ifeq(compose(compose(h,a),b),compose(g,b),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_49]),c_0_19]) ).

cnf(c_0_416,hypothesis,
    ifeq(compose(compose(h,a),b),compose(h,b),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_49]),c_0_19]) ).

cnf(c_0_417,hypothesis,
    ifeq(compose(g,b),compose(compose(h,a),b),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_49]),c_0_19]) ).

cnf(c_0_418,hypothesis,
    ifeq(compose(h,b),compose(compose(h,a),b),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_49]),c_0_19]) ).

cnf(c_0_419,plain,
    ifeq(codomain(X1),codomain(X2),codomain(compose(X1,codomain(X2))),codomain(X2)) = codomain(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_420,plain,
    ifeq(codomain(X1),domain(X2),codomain(compose(X1,domain(X2))),domain(X2)) = domain(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_29]),c_0_45]),
    [final] ).

cnf(c_0_421,plain,
    ifeq(codomain(X1),domain(X2),codomain(compose(codomain(X1),X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_24,c_0_44]),
    [final] ).

cnf(c_0_422,plain,
    ifeq(domain(X1),domain(X2),codomain(compose(domain(X1),X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_24,c_0_29]),
    [final] ).

cnf(c_0_423,plain,
    ifeq(domain(X1),domain(X2),domain(compose(domain(X1),X2)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_424,plain,
    ifeq(codomain(X1),domain(X2),domain(compose(codomain(X1),X2)),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_425,plain,
    ifeq(codomain(X1),domain(X2),domain(compose(X1,domain(X2))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_45]),
    [final] ).

cnf(c_0_426,plain,
    ifeq(codomain(X1),codomain(X2),domain(compose(X1,codomain(X2))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_30]),
    [final] ).

cnf(c_0_427,hypothesis,
    ifeq(codomain(X1),domain(a),codomain(compose(X1,a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_24,c_0_18]),
    [final] ).

cnf(c_0_428,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(X1,compose(g,a))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_46]),
    [final] ).

cnf(c_0_429,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(X1,compose(h,a))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_48]),
    [final] ).

cnf(c_0_430,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(a,X1)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_17,c_0_18]),
    [final] ).

cnf(c_0_431,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(compose(g,a),X1)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_47]),c_0_46]),c_0_46]),
    [final] ).

cnf(c_0_432,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(compose(h,a),X1)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_49]),c_0_48]),c_0_48]),
    [final] ).

cnf(c_0_433,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(X1,g)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [final] ).

cnf(c_0_434,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(X1,h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_24,c_0_22]),
    [final] ).

cnf(c_0_435,hypothesis,
    ifeq(b,X1,ifeq(compose(h,b),X1,h,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_436,hypothesis,
    ifeq(b,X1,ifeq(compose(g,b),X1,g,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_437,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(X1,g)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_26]),
    [final] ).

cnf(c_0_438,hypothesis,
    ifeq(compose(a,b),X1,ifeq(compose(h,b),X1,h,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_439,hypothesis,
    ifeq(compose(a,b),X1,ifeq(compose(g,b),X1,g,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_440,hypothesis,
    ifeq(compose(a,a),X1,ifeq(compose(h,a),X1,h,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_441,hypothesis,
    ifeq(compose(a,a),X1,ifeq(compose(g,a),X1,g,a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_442,hypothesis,
    ifeq(compose(a,a),X1,ifeq(a,X1,domain(a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_443,negated_conjecture,
    h != g,
    prove_h_equals_g,
    [final] ).

cnf(c_0_444,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_121,c_0_51]),
    [final] ).

cnf(c_0_445,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_122,c_0_51]),
    [final] ).

cnf(c_0_446,hypothesis,
    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)))) = compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_123,c_0_42]),
    [final] ).

cnf(c_0_447,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_124,c_0_42]),
    [final] ).

cnf(c_0_448,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_124,c_0_48]),
    [final] ).

cnf(c_0_449,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_124,c_0_46]),
    [final] ).

cnf(c_0_450,hypothesis,
    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)))) = compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_125,c_0_42]),
    [final] ).

cnf(c_0_451,hypothesis,
    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)))) = compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_126,c_0_42]),
    [final] ).

cnf(c_0_452,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_127,c_0_37]),
    [final] ).

cnf(c_0_453,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_127,c_0_51]),
    [final] ).

cnf(c_0_454,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_127,c_0_49]),
    [final] ).

cnf(c_0_455,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_127,c_0_47]),
    [final] ).

cnf(c_0_456,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_128,c_0_51]),
    [final] ).

cnf(c_0_457,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_129,c_0_51]),
    [final] ).

cnf(c_0_458,hypothesis,
    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)))) = compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_121,c_0_37]),
    [final] ).

cnf(c_0_459,hypothesis,
    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)))) = compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_122,c_0_37]),
    [final] ).

cnf(c_0_460,hypothesis,
    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)))) = compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_130,c_0_42]),
    [final] ).

cnf(c_0_461,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_123,c_0_48]),
    [final] ).

cnf(c_0_462,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_123,c_0_46]),
    [final] ).

cnf(c_0_463,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_131,c_0_43]),
    [final] ).

cnf(c_0_464,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_131,c_0_42]),
    [final] ).

cnf(c_0_465,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_131,c_0_48]),
    [final] ).

cnf(c_0_466,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_131,c_0_46]),
    [final] ).

cnf(c_0_467,hypothesis,
    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)))) = compose(compose(compose(h,a),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_132,c_0_42]),
    [final] ).

cnf(c_0_468,hypothesis,
    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)))) = compose(compose(compose(g,a),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_133,c_0_42]),
    [final] ).

cnf(c_0_469,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(a,b)),compose(h,compose(a,b)))) = compose(compose(codomain(X1),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_134,c_0_42]),
    [final] ).

cnf(c_0_470,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(a,b))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(a,b))) = compose(compose(codomain(X1),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_135,c_0_43]),
    [final] ).

cnf(c_0_471,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b)))) = compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_135,c_0_42]),
    [final] ).

cnf(c_0_472,hypothesis,
    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))) = compose(compose(compose(a,b),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_130,c_0_43]),
    [final] ).

cnf(c_0_473,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_136,c_0_42]),
    [final] ).

cnf(c_0_474,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X1))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_51]),
    [final] ).

cnf(c_0_475,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X1))),compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X1))) = compose(compose(compose(a,b),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_138,c_0_37]),
    [final] ).

cnf(c_0_476,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X1))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_138,c_0_51]),
    [final] ).

cnf(c_0_477,hypothesis,
    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))) = compose(compose(compose(h,a),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_132,c_0_43]),
    [final] ).

cnf(c_0_478,hypothesis,
    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))) = compose(compose(compose(g,a),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_133,c_0_43]),
    [final] ).

cnf(c_0_479,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_136,c_0_43]),
    [final] ).

cnf(c_0_480,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X1))),compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X1))) = compose(compose(compose(h,a),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_138,c_0_49]),
    [final] ).

cnf(c_0_481,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X1))),compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X1))) = compose(compose(compose(g,a),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_138,c_0_47]),
    [final] ).

cnf(c_0_482,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X1))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_139,c_0_51]),
    [final] ).

cnf(c_0_483,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X1))),compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X1))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_140,c_0_51]),
    [final] ).

cnf(c_0_484,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(compose(a,b),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X1))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_141,c_0_51]),
    [final] ).

cnf(c_0_485,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X1))),compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X1))) = compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_142,c_0_37]),
    [final] ).

cnf(c_0_486,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X1))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_142,c_0_51]),
    [final] ).

cnf(c_0_487,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X1))),compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X1))) = compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_142,c_0_49]),
    [final] ).

cnf(c_0_488,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X1))),compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X1))) = compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_142,c_0_47]),
    [final] ).

cnf(c_0_489,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(h,a),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X1))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_51]),
    [final] ).

cnf(c_0_490,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X1))),compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X1))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_144,c_0_51]),
    [final] ).

cnf(c_0_491,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_145,c_0_51]),
    [final] ).

cnf(c_0_492,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_146,c_0_51]),
    [final] ).

cnf(c_0_493,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_147,c_0_48]),
    [final] ).

cnf(c_0_494,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_147,c_0_46]),
    [final] ).

cnf(c_0_495,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(a,b)),compose(h,compose(a,b)))) = compose(compose(domain(X1),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_148,c_0_42]),
    [final] ).

cnf(c_0_496,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),compose(a,b))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(a,b))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(a,b))) = compose(compose(domain(X1),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_149,c_0_43]),
    [final] ).

cnf(c_0_497,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b)))) = compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_149,c_0_42]),
    [final] ).

cnf(c_0_498,hypothesis,
    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)))) = compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_121,c_0_49]),
    [final] ).

cnf(c_0_499,hypothesis,
    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)))) = compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_121,c_0_47]),
    [final] ).

cnf(c_0_500,hypothesis,
    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)))) = compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_122,c_0_49]),
    [final] ).

cnf(c_0_501,hypothesis,
    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)))) = compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_122,c_0_47]),
    [final] ).

cnf(c_0_502,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_128,c_0_37]),
    [final] ).

cnf(c_0_503,hypothesis,
    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))) = compose(compose(compose(a,b),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_129,c_0_37]),
    [final] ).

cnf(c_0_504,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_125,c_0_48]),
    [final] ).

cnf(c_0_505,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_125,c_0_46]),
    [final] ).

cnf(c_0_506,hypothesis,
    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))) = compose(compose(compose(a,b),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_130,c_0_48]),
    [final] ).

cnf(c_0_507,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_126,c_0_48]),
    [final] ).

cnf(c_0_508,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_126,c_0_46]),
    [final] ).

cnf(c_0_509,hypothesis,
    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))) = compose(compose(compose(a,b),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_130,c_0_46]),
    [final] ).

cnf(c_0_510,hypothesis,
    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)))) = compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_150,c_0_42]),
    [final] ).

cnf(c_0_511,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),g),
    inference(spm,[status(thm)],[c_0_151,c_0_51]),
    [final] ).

cnf(c_0_512,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_152,c_0_42]),
    [final] ).

cnf(c_0_513,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_153,c_0_42]),
    [final] ).

cnf(c_0_514,hypothesis,
    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)))) = compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_154,c_0_42]),
    [final] ).

cnf(c_0_515,hypothesis,
    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)))) = compose(compose(compose(a,b),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_155,c_0_42]),
    [final] ).

cnf(c_0_516,hypothesis,
    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)))) = compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_156,c_0_42]),
    [final] ).

cnf(c_0_517,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(codomain(X2),compose(h,compose(a,b))),domain(X1))),compose(compose(codomain(X2),compose(h,compose(a,b))),domain(X1))) = compose(compose(codomain(X2),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_138,c_0_44]),
    [final] ).

cnf(c_0_518,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(codomain(X2),compose(h,compose(a,b))),codomain(X1))),compose(compose(codomain(X2),compose(h,compose(a,b))),codomain(X1))) = compose(compose(codomain(X2),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_142,c_0_44]),
    [final] ).

cnf(c_0_519,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(domain(X2),compose(h,compose(a,b))),domain(X1))),compose(compose(domain(X2),compose(h,compose(a,b))),domain(X1))) = compose(compose(domain(X2),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_149,c_0_45]),
    [final] ).

cnf(c_0_520,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(domain(X2),compose(h,compose(a,b))),codomain(X1))),compose(compose(domain(X2),compose(h,compose(a,b))),codomain(X1))) = compose(compose(domain(X2),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_149,c_0_30]),
    [final] ).

cnf(c_0_521,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,a))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,a))) = compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_135,c_0_48]),
    [final] ).

cnf(c_0_522,hypothesis,
    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)))) = compose(compose(a,compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_157,c_0_42]),
    [final] ).

cnf(c_0_523,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(g,a))),compose(compose(codomain(X1),compose(h,compose(a,b))),compose(g,a))) = compose(compose(codomain(X1),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_135,c_0_46]),
    [final] ).

cnf(c_0_524,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(h,a)),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(h,a)),compose(h,compose(a,b)))) = compose(compose(codomain(X1),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_158,c_0_42]),
    [final] ).

cnf(c_0_525,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(g,a)),compose(h,compose(a,b)))),compose(compose(codomain(X1),compose(g,a)),compose(h,compose(a,b)))) = compose(compose(codomain(X1),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_159,c_0_42]),
    [final] ).

cnf(c_0_526,hypothesis,
    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))) = compose(compose(a,compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_150,c_0_43]),
    [final] ).

cnf(c_0_527,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain(X1)),compose(h,compose(a,b)))),compose(compose(compose(a,b),domain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(a,b),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_160,c_0_42]),
    [final] ).

cnf(c_0_528,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(domain(X2),domain(X1)),compose(h,compose(a,b)))),compose(compose(domain(X2),domain(X1)),compose(h,compose(a,b)))) = compose(compose(domain(X2),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_161,c_0_42]),
    [final] ).

cnf(c_0_529,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(codomain(X2),domain(X1)),compose(h,compose(a,b)))),compose(compose(codomain(X2),domain(X1)),compose(h,compose(a,b)))) = compose(compose(codomain(X2),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_162,c_0_42]),
    [final] ).

cnf(c_0_530,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),domain(X2))),compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X2))),compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X2))) = compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_163,c_0_45]),
    [final] ).

cnf(c_0_531,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),codomain(X2))),compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X2))),compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X2))) = compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_163,c_0_30]),
    [final] ).

cnf(c_0_532,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(a,b))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(a,b))) = compose(compose(compose(h,compose(a,b)),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_163,c_0_43]),
    [final] ).

cnf(c_0_533,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,a))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,a))) = compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_149,c_0_48]),
    [final] ).

cnf(c_0_534,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_163,c_0_42]),
    [final] ).

cnf(c_0_535,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(g,a))),compose(compose(domain(X1),compose(h,compose(a,b))),compose(g,a))) = compose(compose(domain(X1),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_149,c_0_46]),
    [final] ).

cnf(c_0_536,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(h,a)),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(h,a)),compose(h,compose(a,b)))) = compose(compose(domain(X1),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_164,c_0_42]),
    [final] ).

cnf(c_0_537,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(g,a)),compose(h,compose(a,b)))),compose(compose(domain(X1),compose(g,a)),compose(h,compose(a,b)))) = compose(compose(domain(X1),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_165,c_0_42]),
    [final] ).

cnf(c_0_538,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,a))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,a))) = compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_163,c_0_48]),
    [final] ).

cnf(c_0_539,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(g,a))),compose(compose(compose(h,compose(a,b)),domain(X1)),compose(g,a))) = compose(compose(compose(h,compose(a,b)),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_163,c_0_46]),
    [final] ).

cnf(c_0_540,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain(X1)),compose(h,compose(a,b)))),compose(compose(compose(h,a),domain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(h,a),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_166,c_0_42]),
    [final] ).

cnf(c_0_541,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain(X1)),compose(h,compose(a,b)))),compose(compose(compose(g,a),domain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(g,a),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_167,c_0_42]),
    [final] ).

cnf(c_0_542,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_128,c_0_49]),
    [final] ).

cnf(c_0_543,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_128,c_0_47]),
    [final] ).

cnf(c_0_544,hypothesis,
    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))) = compose(compose(compose(h,a),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_129,c_0_49]),
    [final] ).

cnf(c_0_545,hypothesis,
    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))) = compose(compose(compose(g,a),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_129,c_0_47]),
    [final] ).

cnf(c_0_546,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_131,c_0_26]),
    [final] ).

cnf(c_0_547,hypothesis,
    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))) = compose(compose(compose(h,a),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_132,c_0_48]),
    [final] ).

cnf(c_0_548,hypothesis,
    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))) = compose(compose(compose(h,a),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_132,c_0_46]),
    [final] ).

cnf(c_0_549,hypothesis,
    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))) = compose(compose(compose(g,a),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_133,c_0_48]),
    [final] ).

cnf(c_0_550,hypothesis,
    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))) = compose(compose(compose(g,a),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_133,c_0_46]),
    [final] ).

cnf(c_0_551,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_136,c_0_48]),
    [final] ).

cnf(c_0_552,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_136,c_0_46]),
    [final] ).

cnf(c_0_553,hypothesis,
    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)))) = compose(compose(compose(h,a),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_168,c_0_42]),
    [final] ).

cnf(c_0_554,hypothesis,
    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)))) = compose(compose(compose(g,a),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_169,c_0_42]),
    [final] ).

cnf(c_0_555,hypothesis,
    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))) = compose(compose(h,compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_154,c_0_43]),
    [final] ).

cnf(c_0_556,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(domain(X2),codomain(X1)),compose(h,compose(a,b)))),compose(compose(domain(X2),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(domain(X2),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_170,c_0_42]),
    [final] ).

cnf(c_0_557,hypothesis,
    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))) = compose(compose(g,compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_156,c_0_43]),
    [final] ).

cnf(c_0_558,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(codomain(X2),codomain(X1)),compose(h,compose(a,b)))),compose(compose(codomain(X2),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(codomain(X2),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_171,c_0_42]),
    [final] ).

cnf(c_0_559,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(X1)),compose(h,compose(a,b)))),compose(compose(compose(a,b),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(a,b),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_172,c_0_42]),
    [final] ).

cnf(c_0_560,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),domain(X2))),compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X2))),compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X2))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_173,c_0_45]),
    [final] ).

cnf(c_0_561,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),codomain(X2))),compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X2))),compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X2))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_173,c_0_30]),
    [final] ).

cnf(c_0_562,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(a,b))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(a,b))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_173,c_0_43]),
    [final] ).

cnf(c_0_563,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),compose(a,b))),compose(compose(codomain(X1),compose(a,b)),compose(a,b))),compose(compose(codomain(X1),compose(a,b)),compose(a,b))) = compose(compose(codomain(X1),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_134,c_0_43]),
    [final] ).

cnf(c_0_564,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_173,c_0_42]),
    [final] ).

cnf(c_0_565,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,a))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,a))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_173,c_0_48]),
    [final] ).

cnf(c_0_566,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),domain(X1))),compose(compose(compose(a,b),compose(a,b)),domain(X1))),compose(compose(compose(a,b),compose(a,b)),domain(X1))) = compose(compose(compose(a,b),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_37]),
    [final] ).

cnf(c_0_567,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(g,a))),compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(g,a))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_173,c_0_46]),
    [final] ).

cnf(c_0_568,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),domain(X1))),compose(compose(compose(h,a),compose(a,b)),domain(X1))),compose(compose(compose(h,a),compose(a,b)),domain(X1))) = compose(compose(compose(h,a),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_49]),
    [final] ).

cnf(c_0_569,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),domain(X1))),compose(compose(compose(g,a),compose(a,b)),domain(X1))),compose(compose(compose(g,a),compose(a,b)),domain(X1))) = compose(compose(compose(g,a),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_47]),
    [final] ).

cnf(c_0_570,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(compose(a,b),codomain(X1))),compose(compose(compose(a,b),compose(a,b)),codomain(X1))),compose(compose(compose(a,b),compose(a,b)),codomain(X1))) = compose(compose(compose(a,b),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_141,c_0_37]),
    [final] ).

cnf(c_0_571,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(compose(a,b),codomain(X1))),compose(compose(compose(h,a),compose(a,b)),codomain(X1))),compose(compose(compose(h,a),compose(a,b)),codomain(X1))) = compose(compose(compose(h,a),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_141,c_0_49]),
    [final] ).

cnf(c_0_572,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(compose(a,b),codomain(X1))),compose(compose(compose(g,a),compose(a,b)),codomain(X1))),compose(compose(compose(g,a),compose(a,b)),codomain(X1))) = compose(compose(compose(g,a),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_141,c_0_47]),
    [final] ).

cnf(c_0_573,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(X1)),compose(h,compose(a,b)))),compose(compose(compose(h,a),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(h,a),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_174,c_0_42]),
    [final] ).

cnf(c_0_574,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),compose(a,b))),compose(compose(domain(X1),compose(a,b)),compose(a,b))),compose(compose(domain(X1),compose(a,b)),compose(a,b))) = compose(compose(domain(X1),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_148,c_0_43]),
    [final] ).

cnf(c_0_575,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,domain(X1))),compose(compose(compose(h,compose(a,b)),a),domain(X1))),compose(compose(compose(h,compose(a,b)),a),domain(X1))) = compose(compose(compose(h,compose(a,b)),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_175,c_0_51]),
    [final] ).

cnf(c_0_576,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(X1)),compose(h,compose(a,b)))),compose(compose(compose(g,a),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(compose(g,a),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_176,c_0_42]),
    [final] ).

cnf(c_0_577,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,codomain(X1))),compose(compose(compose(h,compose(a,b)),a),codomain(X1))),compose(compose(compose(h,compose(a,b)),a),codomain(X1))) = compose(compose(compose(h,compose(a,b)),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_177,c_0_51]),
    [final] ).

cnf(c_0_578,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),compose(h,a))),compose(compose(codomain(X1),compose(a,b)),compose(h,a))),compose(compose(codomain(X1),compose(a,b)),compose(h,a))) = compose(compose(codomain(X1),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_134,c_0_48]),
    [final] ).

cnf(c_0_579,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),compose(g,a))),compose(compose(codomain(X1),compose(a,b)),compose(g,a))),compose(compose(codomain(X1),compose(a,b)),compose(g,a))) = compose(compose(codomain(X1),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_134,c_0_46]),
    [final] ).

cnf(c_0_580,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),compose(a,b))),compose(compose(codomain(X1),compose(h,a)),compose(a,b))),compose(compose(codomain(X1),compose(h,a)),compose(a,b))) = compose(compose(codomain(X1),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_158,c_0_43]),
    [final] ).

cnf(c_0_581,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),compose(a,b))),compose(compose(codomain(X1),compose(g,a)),compose(a,b))),compose(compose(codomain(X1),compose(g,a)),compose(a,b))) = compose(compose(codomain(X1),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_159,c_0_43]),
    [final] ).

cnf(c_0_582,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),domain(X1))),compose(compose(compose(a,b),compose(h,a)),domain(X1))),compose(compose(compose(a,b),compose(h,a)),domain(X1))) = compose(compose(compose(a,b),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_139,c_0_37]),
    [final] ).

cnf(c_0_583,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),domain(X1))),compose(compose(compose(a,b),compose(g,a)),domain(X1))),compose(compose(compose(a,b),compose(g,a)),domain(X1))) = compose(compose(compose(a,b),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_140,c_0_37]),
    [final] ).

cnf(c_0_584,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(h,a),codomain(X1))),compose(compose(compose(a,b),compose(h,a)),codomain(X1))),compose(compose(compose(a,b),compose(h,a)),codomain(X1))) = compose(compose(compose(a,b),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_37]),
    [final] ).

cnf(c_0_585,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(compose(g,a),codomain(X1))),compose(compose(compose(a,b),compose(g,a)),codomain(X1))),compose(compose(compose(a,b),compose(g,a)),codomain(X1))) = compose(compose(compose(a,b),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_144,c_0_37]),
    [final] ).

cnf(c_0_586,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),compose(h,a))),compose(compose(domain(X1),compose(a,b)),compose(h,a))),compose(compose(domain(X1),compose(a,b)),compose(h,a))) = compose(compose(domain(X1),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_148,c_0_48]),
    [final] ).

cnf(c_0_587,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),compose(g,a))),compose(compose(domain(X1),compose(a,b)),compose(g,a))),compose(compose(domain(X1),compose(a,b)),compose(g,a))) = compose(compose(domain(X1),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_148,c_0_46]),
    [final] ).

cnf(c_0_588,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),compose(a,b))),compose(compose(domain(X1),compose(h,a)),compose(a,b))),compose(compose(domain(X1),compose(h,a)),compose(a,b))) = compose(compose(domain(X1),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_164,c_0_43]),
    [final] ).

cnf(c_0_589,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,compose(h,compose(a,b)))),compose(compose(codomain(X1),a),compose(h,compose(a,b)))),compose(compose(codomain(X1),a),compose(h,compose(a,b)))) = compose(compose(codomain(X1),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_178,c_0_42]),
    [final] ).

cnf(c_0_590,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),compose(a,b))),compose(compose(domain(X1),compose(g,a)),compose(a,b))),compose(compose(domain(X1),compose(g,a)),compose(a,b))) = compose(compose(domain(X1),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_165,c_0_43]),
    [final] ).

cnf(c_0_591,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,compose(h,compose(a,b)))),compose(compose(domain(X1),a),compose(h,compose(a,b)))),compose(compose(domain(X1),a),compose(h,compose(a,b)))) = compose(compose(domain(X1),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_179,c_0_42]),
    [final] ).

cnf(c_0_592,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),domain(X1))),compose(compose(a,compose(h,compose(a,b))),domain(X1))),compose(compose(a,compose(h,compose(a,b))),domain(X1))) = compose(compose(a,compose(h,compose(a,b))),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_593,hypothesis,
    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))) = compose(compose(compose(a,b),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_181,c_0_46]),
    [final] ).

cnf(c_0_594,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(a,compose(h,compose(a,b))),codomain(X1))),compose(compose(a,compose(h,compose(a,b))),codomain(X1))) = compose(compose(a,compose(h,compose(a,b))),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_595,hypothesis,
    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))) = compose(compose(compose(a,b),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_146,c_0_37]),
    [final] ).

cnf(c_0_596,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_183,c_0_48]),
    [final] ).

cnf(c_0_597,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_183,c_0_46]),
    [final] ).

cnf(c_0_598,hypothesis,
    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))) = compose(compose(domain(compose(a,compose(a,b))),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_184,c_0_18]),
    [final] ).

cnf(c_0_599,hypothesis,
    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)) = compose(compose(compose(a,b),compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_600,hypothesis,
    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)))) = compose(compose(compose(a,b),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_186,c_0_42]),
    [final] ).

cnf(c_0_601,hypothesis,
    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)))) = compose(compose(compose(a,b),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_187,c_0_42]),
    [final] ).

cnf(c_0_602,hypothesis,
    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))) = compose(compose(a,compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_150,c_0_48]),
    [final] ).

cnf(c_0_603,hypothesis,
    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))) = compose(compose(a,compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_150,c_0_46]),
    [final] ).

cnf(c_0_604,hypothesis,
    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)))) = compose(compose(a,compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_188,c_0_42]),
    [final] ).

cnf(c_0_605,hypothesis,
    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)))) = compose(compose(a,compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_189,c_0_42]),
    [final] ).

cnf(c_0_606,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),compose(a,b))),compose(compose(compose(a,b),domain(X1)),compose(a,b))),compose(compose(compose(a,b),domain(X1)),compose(a,b))) = compose(compose(compose(a,b),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_160,c_0_43]),
    [final] ).

cnf(c_0_607,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),compose(h,a))),compose(compose(compose(a,b),domain(X1)),compose(h,a))),compose(compose(compose(a,b),domain(X1)),compose(h,a))) = compose(compose(compose(a,b),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_160,c_0_48]),
    [final] ).

cnf(c_0_608,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),compose(g,a))),compose(compose(compose(a,b),domain(X1)),compose(g,a))),compose(compose(compose(a,b),domain(X1)),compose(g,a))) = compose(compose(compose(a,b),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_160,c_0_46]),
    [final] ).

cnf(c_0_609,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),compose(a,b))),compose(compose(compose(h,a),domain(X1)),compose(a,b))),compose(compose(compose(h,a),domain(X1)),compose(a,b))) = compose(compose(compose(h,a),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_166,c_0_43]),
    [final] ).

cnf(c_0_610,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),compose(a,b))),compose(compose(compose(g,a),domain(X1)),compose(a,b))),compose(compose(compose(g,a),domain(X1)),compose(a,b))) = compose(compose(compose(g,a),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_167,c_0_43]),
    [final] ).

cnf(c_0_611,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),compose(h,compose(a,b)))),compose(compose(a,domain(X1)),compose(h,compose(a,b)))),compose(compose(a,domain(X1)),compose(h,compose(a,b)))) = compose(compose(a,domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_190,c_0_42]),
    [final] ).

cnf(c_0_612,hypothesis,
    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)))) = compose(compose(domain(compose(a,compose(h,compose(a,b)))),a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_191,c_0_18]),
    [final] ).

cnf(c_0_613,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),compose(a,b))),compose(compose(compose(a,b),codomain(X1)),compose(a,b))),compose(compose(compose(a,b),codomain(X1)),compose(a,b))) = compose(compose(compose(a,b),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_172,c_0_43]),
    [final] ).

cnf(c_0_614,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),compose(h,a))),compose(compose(compose(a,b),codomain(X1)),compose(h,a))),compose(compose(compose(a,b),codomain(X1)),compose(h,a))) = compose(compose(compose(a,b),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_172,c_0_48]),
    [final] ).

cnf(c_0_615,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),compose(g,a))),compose(compose(compose(a,b),codomain(X1)),compose(g,a))),compose(compose(compose(a,b),codomain(X1)),compose(g,a))) = compose(compose(compose(a,b),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_172,c_0_46]),
    [final] ).

cnf(c_0_616,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),compose(a,b))),compose(compose(compose(h,a),codomain(X1)),compose(a,b))),compose(compose(compose(h,a),codomain(X1)),compose(a,b))) = compose(compose(compose(h,a),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_174,c_0_43]),
    [final] ).

cnf(c_0_617,hypothesis,
    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)))) = compose(compose(domain(compose(h,compose(h,compose(a,b)))),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_191,c_0_22]),
    [final] ).

cnf(c_0_618,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),compose(a,b))),compose(compose(compose(g,a),codomain(X1)),compose(a,b))),compose(compose(compose(g,a),codomain(X1)),compose(a,b))) = compose(compose(compose(g,a),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_176,c_0_43]),
    [final] ).

cnf(c_0_619,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(a,codomain(X1)),compose(h,compose(a,b)))),compose(compose(a,codomain(X1)),compose(h,compose(a,b)))) = compose(compose(a,codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_192,c_0_42]),
    [final] ).

cnf(c_0_620,hypothesis,
    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))) = compose(compose(domain(compose(a,compose(h,a))),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_193,c_0_18]),
    [final] ).

cnf(c_0_621,hypothesis,
    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))) = compose(compose(compose(a,b),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_155,c_0_43]),
    [final] ).

cnf(c_0_622,hypothesis,
    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))) = compose(compose(a,compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_157,c_0_43]),
    [final] ).

cnf(c_0_623,hypothesis,
    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))) = compose(compose(domain(compose(a,compose(g,a))),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_194,c_0_18]),
    [final] ).

cnf(c_0_624,plain,
    ifeq(domain(X1),domain(X2),ifeq(domain(compose(domain(X1),domain(X2))),domain(X1),compose(domain(X1),domain(X2)),compose(compose(domain(compose(domain(X1),domain(X2))),domain(X1)),domain(X2))),compose(compose(domain(compose(domain(X1),domain(X2))),domain(X1)),domain(X2))) = compose(compose(domain(compose(domain(X1),domain(X2))),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_195,c_0_45]),
    [final] ).

cnf(c_0_625,plain,
    ifeq(domain(X1),codomain(X2),ifeq(domain(compose(domain(X1),codomain(X2))),domain(X1),compose(domain(X1),codomain(X2)),compose(compose(domain(compose(domain(X1),codomain(X2))),domain(X1)),codomain(X2))),compose(compose(domain(compose(domain(X1),codomain(X2))),domain(X1)),codomain(X2))) = compose(compose(domain(compose(domain(X1),codomain(X2))),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_195,c_0_30]),
    [final] ).

cnf(c_0_626,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(compose(domain(X1),compose(a,b))),domain(X1),compose(domain(X1),compose(a,b)),compose(compose(domain(compose(domain(X1),compose(a,b))),domain(X1)),compose(a,b))),compose(compose(domain(compose(domain(X1),compose(a,b))),domain(X1)),compose(a,b))) = compose(compose(domain(compose(domain(X1),compose(a,b))),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_195,c_0_43]),
    [final] ).

cnf(c_0_627,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(compose(domain(X1),compose(h,compose(a,b)))),domain(X1),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(compose(domain(X1),compose(h,compose(a,b)))),domain(X1)),compose(h,compose(a,b)))),compose(compose(domain(compose(domain(X1),compose(h,compose(a,b)))),domain(X1)),compose(h,compose(a,b)))) = compose(compose(domain(compose(domain(X1),compose(h,compose(a,b)))),domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_195,c_0_42]),
    [final] ).

cnf(c_0_628,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(compose(domain(X1),compose(h,a))),domain(X1),compose(domain(X1),compose(h,a)),compose(compose(domain(compose(domain(X1),compose(h,a))),domain(X1)),compose(h,a))),compose(compose(domain(compose(domain(X1),compose(h,a))),domain(X1)),compose(h,a))) = compose(compose(domain(compose(domain(X1),compose(h,a))),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_195,c_0_48]),
    [final] ).

cnf(c_0_629,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(compose(domain(X1),compose(g,a))),domain(X1),compose(domain(X1),compose(g,a)),compose(compose(domain(compose(domain(X1),compose(g,a))),domain(X1)),compose(g,a))),compose(compose(domain(compose(domain(X1),compose(g,a))),domain(X1)),compose(g,a))) = compose(compose(domain(compose(domain(X1),compose(g,a))),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_195,c_0_46]),
    [final] ).

cnf(c_0_630,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(compose(codomain(X1),domain(X2))),codomain(X1),compose(codomain(X1),domain(X2)),compose(compose(domain(compose(codomain(X1),domain(X2))),codomain(X1)),domain(X2))),compose(compose(domain(compose(codomain(X1),domain(X2))),codomain(X1)),domain(X2))) = compose(compose(domain(compose(codomain(X1),domain(X2))),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_196,c_0_45]),
    [final] ).

cnf(c_0_631,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(compose(codomain(X1),codomain(X2))),codomain(X1),compose(codomain(X1),codomain(X2)),compose(compose(domain(compose(codomain(X1),codomain(X2))),codomain(X1)),codomain(X2))),compose(compose(domain(compose(codomain(X1),codomain(X2))),codomain(X1)),codomain(X2))) = compose(compose(domain(compose(codomain(X1),codomain(X2))),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_196,c_0_30]),
    [final] ).

cnf(c_0_632,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(compose(codomain(X1),compose(a,b))),codomain(X1),compose(codomain(X1),compose(a,b)),compose(compose(domain(compose(codomain(X1),compose(a,b))),codomain(X1)),compose(a,b))),compose(compose(domain(compose(codomain(X1),compose(a,b))),codomain(X1)),compose(a,b))) = compose(compose(domain(compose(codomain(X1),compose(a,b))),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_196,c_0_43]),
    [final] ).

cnf(c_0_633,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(X1),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(domain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(X1)),compose(h,compose(a,b)))),compose(compose(domain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(X1)),compose(h,compose(a,b)))) = compose(compose(domain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_196,c_0_42]),
    [final] ).

cnf(c_0_634,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(codomain(X1),compose(h,a))),codomain(X1),compose(codomain(X1),compose(h,a)),compose(compose(domain(compose(codomain(X1),compose(h,a))),codomain(X1)),compose(h,a))),compose(compose(domain(compose(codomain(X1),compose(h,a))),codomain(X1)),compose(h,a))) = compose(compose(domain(compose(codomain(X1),compose(h,a))),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_196,c_0_48]),
    [final] ).

cnf(c_0_635,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(codomain(X1),compose(g,a))),codomain(X1),compose(codomain(X1),compose(g,a)),compose(compose(domain(compose(codomain(X1),compose(g,a))),codomain(X1)),compose(g,a))),compose(compose(domain(compose(codomain(X1),compose(g,a))),codomain(X1)),compose(g,a))) = compose(compose(domain(compose(codomain(X1),compose(g,a))),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_196,c_0_46]),
    [final] ).

cnf(c_0_636,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(compose(compose(a,b),domain(X1))),domain(a),compose(compose(a,b),domain(X1)),compose(compose(domain(compose(compose(a,b),domain(X1))),compose(a,b)),domain(X1))),compose(compose(domain(compose(compose(a,b),domain(X1))),compose(a,b)),domain(X1))) = compose(compose(domain(compose(compose(a,b),domain(X1))),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_197,c_0_45]),
    [final] ).

cnf(c_0_637,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(compose(compose(a,b),codomain(X1))),domain(a),compose(compose(a,b),codomain(X1)),compose(compose(domain(compose(compose(a,b),codomain(X1))),compose(a,b)),codomain(X1))),compose(compose(domain(compose(compose(a,b),codomain(X1))),compose(a,b)),codomain(X1))) = compose(compose(domain(compose(compose(a,b),codomain(X1))),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_197,c_0_30]),
    [final] ).

cnf(c_0_638,hypothesis,
    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))) = compose(compose(domain(compose(compose(a,b),compose(a,b))),compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_197,c_0_43]),
    [final] ).

cnf(c_0_639,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),domain(X1))),compose(compose(compose(h,a),compose(h,a)),domain(X1))),compose(compose(compose(h,a),compose(h,a)),domain(X1))) = compose(compose(compose(h,a),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_139,c_0_49]),
    [final] ).

cnf(c_0_640,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),domain(X1))),compose(compose(compose(g,a),compose(h,a)),domain(X1))),compose(compose(compose(g,a),compose(h,a)),domain(X1))) = compose(compose(compose(g,a),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_139,c_0_47]),
    [final] ).

cnf(c_0_641,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),domain(X1))),compose(compose(compose(h,a),compose(g,a)),domain(X1))),compose(compose(compose(h,a),compose(g,a)),domain(X1))) = compose(compose(compose(h,a),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_140,c_0_49]),
    [final] ).

cnf(c_0_642,hypothesis,
    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)))) = compose(compose(domain(compose(compose(a,b),compose(h,compose(a,b)))),compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_197,c_0_42]),
    [final] ).

cnf(c_0_643,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),domain(X1))),compose(compose(compose(g,a),compose(g,a)),domain(X1))),compose(compose(compose(g,a),compose(g,a)),domain(X1))) = compose(compose(compose(g,a),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_140,c_0_47]),
    [final] ).

cnf(c_0_644,hypothesis,
    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))) = compose(compose(domain(compose(compose(a,b),compose(h,a))),compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_197,c_0_48]),
    [final] ).

cnf(c_0_645,hypothesis,
    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))) = compose(compose(domain(compose(compose(a,b),compose(g,a))),compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_197,c_0_46]),
    [final] ).

cnf(c_0_646,hypothesis,
    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)) = compose(compose(domain(compose(compose(a,b),g)),compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_197,c_0_26]),
    [final] ).

cnf(c_0_647,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(h,a),codomain(X1))),compose(compose(compose(h,a),compose(h,a)),codomain(X1))),compose(compose(compose(h,a),compose(h,a)),codomain(X1))) = compose(compose(compose(h,a),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_49]),
    [final] ).

cnf(c_0_648,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(h,a),codomain(X1))),compose(compose(compose(g,a),compose(h,a)),codomain(X1))),compose(compose(compose(g,a),compose(h,a)),codomain(X1))) = compose(compose(compose(g,a),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_47]),
    [final] ).

cnf(c_0_649,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(compose(compose(h,compose(a,b)),domain(X1))),domain(h),compose(compose(h,compose(a,b)),domain(X1)),compose(compose(domain(compose(compose(h,compose(a,b)),domain(X1))),compose(h,compose(a,b))),domain(X1))),compose(compose(domain(compose(compose(h,compose(a,b)),domain(X1))),compose(h,compose(a,b))),domain(X1))) = compose(compose(domain(compose(compose(h,compose(a,b)),domain(X1))),compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_198,c_0_45]),
    [final] ).

cnf(c_0_650,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),codomain(X1))),compose(compose(compose(h,a),compose(g,a)),codomain(X1))),compose(compose(compose(h,a),compose(g,a)),codomain(X1))) = compose(compose(compose(h,a),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_144,c_0_49]),
    [final] ).

cnf(c_0_651,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),codomain(X1))),compose(compose(compose(g,a),compose(g,a)),codomain(X1))),compose(compose(compose(g,a),compose(g,a)),codomain(X1))) = compose(compose(compose(g,a),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_144,c_0_47]),
    [final] ).

cnf(c_0_652,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,domain(X1))),compose(compose(compose(h,compose(a,b)),h),domain(X1))),compose(compose(compose(h,compose(a,b)),h),domain(X1))) = compose(compose(compose(h,compose(a,b)),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_199,c_0_51]),
    [final] ).

cnf(c_0_653,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,domain(X1))),compose(compose(compose(h,compose(a,b)),g),domain(X1))),compose(compose(compose(h,compose(a,b)),g),domain(X1))) = compose(compose(compose(h,compose(a,b)),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_200,c_0_51]),
    [final] ).

cnf(c_0_654,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(compose(compose(h,compose(a,b)),codomain(X1))),domain(h),compose(compose(h,compose(a,b)),codomain(X1)),compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X1))),compose(h,compose(a,b))),codomain(X1))),compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X1))),compose(h,compose(a,b))),codomain(X1))) = compose(compose(domain(compose(compose(h,compose(a,b)),codomain(X1))),compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_198,c_0_30]),
    [final] ).

cnf(c_0_655,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,codomain(X1))),compose(compose(compose(h,compose(a,b)),h),codomain(X1))),compose(compose(compose(h,compose(a,b)),h),codomain(X1))) = compose(compose(compose(h,compose(a,b)),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_201,c_0_51]),
    [final] ).

cnf(c_0_656,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,codomain(X1))),compose(compose(compose(h,compose(a,b)),g),codomain(X1))),compose(compose(compose(h,compose(a,b)),g),codomain(X1))) = compose(compose(compose(h,compose(a,b)),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_202,c_0_51]),
    [final] ).

cnf(c_0_657,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,compose(a,b)),compose(a,b))),compose(h,compose(a,b))),compose(a,b)),
    inference(spm,[status(thm)],[c_0_198,c_0_43]),
    [final] ).

cnf(c_0_658,hypothesis,
    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)))) = compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_198,c_0_42]),
    [final] ).

cnf(c_0_659,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),domain(X1))),compose(compose(h,compose(h,compose(a,b))),domain(X1))),compose(compose(h,compose(h,compose(a,b))),domain(X1))) = compose(compose(h,compose(h,compose(a,b))),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_660,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(h,compose(h,compose(a,b))),codomain(X1))),compose(compose(h,compose(h,compose(a,b))),codomain(X1))) = compose(compose(h,compose(h,compose(a,b))),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_661,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,compose(a,b)),compose(h,a))),compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_198,c_0_48]),
    [final] ).

cnf(c_0_662,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,compose(a,b)),compose(g,a))),compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_198,c_0_46]),
    [final] ).

cnf(c_0_663,hypothesis,
    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)) = compose(compose(domain(compose(compose(h,compose(a,b)),g)),compose(h,compose(a,b))),g),
    inference(spm,[status(thm)],[c_0_198,c_0_26]),
    [final] ).

cnf(c_0_664,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),domain(X1))),compose(compose(g,compose(h,compose(a,b))),domain(X1))),compose(compose(g,compose(h,compose(a,b))),domain(X1))) = compose(compose(g,compose(h,compose(a,b))),domain(X1)),
    inference(spm,[status(thm)],[c_0_156,c_0_45]),
    [final] ).

cnf(c_0_665,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(g,compose(h,compose(a,b))),codomain(X1))),compose(compose(g,compose(h,compose(a,b))),codomain(X1))) = compose(compose(g,compose(h,compose(a,b))),codomain(X1)),
    inference(spm,[status(thm)],[c_0_156,c_0_30]),
    [final] ).

cnf(c_0_666,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(compose(h,a),domain(X1))),domain(h),compose(compose(h,a),domain(X1)),compose(compose(domain(compose(compose(h,a),domain(X1))),compose(h,a)),domain(X1))),compose(compose(domain(compose(compose(h,a),domain(X1))),compose(h,a)),domain(X1))) = compose(compose(domain(compose(compose(h,a),domain(X1))),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_205,c_0_45]),
    [final] ).

cnf(c_0_667,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(compose(compose(h,a),codomain(X1))),domain(h),compose(compose(h,a),codomain(X1)),compose(compose(domain(compose(compose(h,a),codomain(X1))),compose(h,a)),codomain(X1))),compose(compose(domain(compose(compose(h,a),codomain(X1))),compose(h,a)),codomain(X1))) = compose(compose(domain(compose(compose(h,a),codomain(X1))),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_205,c_0_30]),
    [final] ).

cnf(c_0_668,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),g)),compose(compose(compose(h,compose(a,b)),domain(X1)),g)),compose(compose(compose(h,compose(a,b)),domain(X1)),g)) = compose(compose(compose(h,compose(a,b)),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_163,c_0_26]),
    [final] ).

cnf(c_0_669,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),compose(h,a))),compose(compose(compose(h,a),domain(X1)),compose(h,a))),compose(compose(compose(h,a),domain(X1)),compose(h,a))) = compose(compose(compose(h,a),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_166,c_0_48]),
    [final] ).

cnf(c_0_670,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),compose(g,a))),compose(compose(compose(h,a),domain(X1)),compose(g,a))),compose(compose(compose(h,a),domain(X1)),compose(g,a))) = compose(compose(compose(h,a),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_166,c_0_46]),
    [final] ).

cnf(c_0_671,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,a),compose(a,b))),compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_205,c_0_43]),
    [final] ).

cnf(c_0_672,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),compose(h,a))),compose(compose(compose(g,a),domain(X1)),compose(h,a))),compose(compose(compose(g,a),domain(X1)),compose(h,a))) = compose(compose(compose(g,a),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_167,c_0_48]),
    [final] ).

cnf(c_0_673,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),compose(g,a))),compose(compose(compose(g,a),domain(X1)),compose(g,a))),compose(compose(compose(g,a),domain(X1)),compose(g,a))) = compose(compose(compose(g,a),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_167,c_0_46]),
    [final] ).

cnf(c_0_674,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),compose(h,compose(a,b)))),compose(compose(h,domain(X1)),compose(h,compose(a,b)))),compose(compose(h,domain(X1)),compose(h,compose(a,b)))) = compose(compose(h,domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_206,c_0_42]),
    [final] ).

cnf(c_0_675,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),compose(h,compose(a,b)))),compose(compose(g,domain(X1)),compose(h,compose(a,b)))),compose(compose(g,domain(X1)),compose(h,compose(a,b)))) = compose(compose(g,domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_207,c_0_42]),
    [final] ).

cnf(c_0_676,hypothesis,
    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)))) = compose(compose(domain(compose(compose(h,a),compose(h,compose(a,b)))),compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_205,c_0_42]),
    [final] ).

cnf(c_0_677,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,a),compose(h,a))),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_205,c_0_48]),
    [final] ).

cnf(c_0_678,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),g)),compose(compose(compose(h,compose(a,b)),codomain(X1)),g)),compose(compose(compose(h,compose(a,b)),codomain(X1)),g)) = compose(compose(compose(h,compose(a,b)),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_173,c_0_26]),
    [final] ).

cnf(c_0_679,hypothesis,
    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))) = compose(compose(domain(compose(compose(h,a),compose(g,a))),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_205,c_0_46]),
    [final] ).

cnf(c_0_680,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),compose(h,a))),compose(compose(compose(h,a),codomain(X1)),compose(h,a))),compose(compose(compose(h,a),codomain(X1)),compose(h,a))) = compose(compose(compose(h,a),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_174,c_0_48]),
    [final] ).

cnf(c_0_681,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),compose(g,a))),compose(compose(compose(h,a),codomain(X1)),compose(g,a))),compose(compose(compose(h,a),codomain(X1)),compose(g,a))) = compose(compose(compose(h,a),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_174,c_0_46]),
    [final] ).

cnf(c_0_682,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),compose(h,a))),compose(compose(compose(g,a),codomain(X1)),compose(h,a))),compose(compose(compose(g,a),codomain(X1)),compose(h,a))) = compose(compose(compose(g,a),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_176,c_0_48]),
    [final] ).

cnf(c_0_683,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),compose(g,a))),compose(compose(compose(g,a),codomain(X1)),compose(g,a))),compose(compose(compose(g,a),codomain(X1)),compose(g,a))) = compose(compose(compose(g,a),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_176,c_0_46]),
    [final] ).

cnf(c_0_684,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(compose(g,a),domain(X1))),domain(h),compose(compose(g,a),domain(X1)),compose(compose(domain(compose(compose(g,a),domain(X1))),compose(g,a)),domain(X1))),compose(compose(domain(compose(compose(g,a),domain(X1))),compose(g,a)),domain(X1))) = compose(compose(domain(compose(compose(g,a),domain(X1))),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_208,c_0_45]),
    [final] ).

cnf(c_0_685,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(h,codomain(X1)),compose(h,compose(a,b)))),compose(compose(h,codomain(X1)),compose(h,compose(a,b)))) = compose(compose(h,codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_209,c_0_42]),
    [final] ).

cnf(c_0_686,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(g,codomain(X1)),compose(h,compose(a,b)))),compose(compose(g,codomain(X1)),compose(h,compose(a,b)))) = compose(compose(g,codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_210,c_0_42]),
    [final] ).

cnf(c_0_687,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(compose(compose(g,a),codomain(X1))),domain(h),compose(compose(g,a),codomain(X1)),compose(compose(domain(compose(compose(g,a),codomain(X1))),compose(g,a)),codomain(X1))),compose(compose(domain(compose(compose(g,a),codomain(X1))),compose(g,a)),codomain(X1))) = compose(compose(domain(compose(compose(g,a),codomain(X1))),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_208,c_0_30]),
    [final] ).

cnf(c_0_688,hypothesis,
    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))) = compose(compose(domain(compose(compose(g,a),compose(a,b))),compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_208,c_0_43]),
    [final] ).

cnf(c_0_689,hypothesis,
    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)))) = compose(compose(domain(compose(compose(g,a),compose(h,compose(a,b)))),compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_208,c_0_42]),
    [final] ).

cnf(c_0_690,hypothesis,
    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))) = compose(compose(domain(compose(compose(g,a),compose(h,a))),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_208,c_0_48]),
    [final] ).

cnf(c_0_691,hypothesis,
    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))) = compose(compose(domain(compose(compose(g,a),compose(g,a))),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_208,c_0_46]),
    [final] ).

cnf(c_0_692,hypothesis,
    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)))) = compose(compose(domain(compose(g,compose(h,compose(a,b)))),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_211,c_0_42]),
    [final] ).

cnf(c_0_693,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(a,domain(X1))),domain(a),compose(a,domain(X1)),compose(compose(domain(compose(a,domain(X1))),a),domain(X1))),compose(compose(domain(compose(a,domain(X1))),a),domain(X1))) = compose(compose(domain(compose(a,domain(X1))),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_212,c_0_18]),
    [final] ).

cnf(c_0_694,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(compose(a,codomain(X1))),domain(a),compose(a,codomain(X1)),compose(compose(domain(compose(a,codomain(X1))),a),codomain(X1))),compose(compose(domain(compose(a,codomain(X1))),a),codomain(X1))) = compose(compose(domain(compose(a,codomain(X1))),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_213,c_0_18]),
    [final] ).

cnf(c_0_695,hypothesis,
    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))) = compose(compose(compose(h,a),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_168,c_0_43]),
    [final] ).

cnf(c_0_696,hypothesis,
    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))) = compose(compose(compose(g,a),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_169,c_0_43]),
    [final] ).

cnf(c_0_697,hypothesis,
    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)) = compose(compose(h,compose(a,b)),a),
    inference(spm,[status(thm)],[c_0_214,c_0_18]),
    [final] ).

cnf(c_0_698,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(compose(a,b),domain(X1))),compose(compose(codomain(X2),compose(a,b)),domain(X1))),compose(compose(codomain(X2),compose(a,b)),domain(X1))) = compose(compose(codomain(X2),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_137,c_0_44]),
    [final] ).

cnf(c_0_699,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(compose(a,b),codomain(X1))),compose(compose(codomain(X2),compose(a,b)),codomain(X1))),compose(compose(codomain(X2),compose(a,b)),codomain(X1))) = compose(compose(codomain(X2),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_141,c_0_44]),
    [final] ).

cnf(c_0_700,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(compose(a,b),domain(X1))),compose(compose(domain(X2),compose(a,b)),domain(X1))),compose(compose(domain(X2),compose(a,b)),domain(X1))) = compose(compose(domain(X2),compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_148,c_0_45]),
    [final] ).

cnf(c_0_701,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(compose(a,b),codomain(X1))),compose(compose(domain(X2),compose(a,b)),codomain(X1))),compose(compose(domain(X2),compose(a,b)),codomain(X1))) = compose(compose(domain(X2),compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_148,c_0_30]),
    [final] ).

cnf(c_0_702,hypothesis,
    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))) = compose(compose(compose(h,a),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_145,c_0_49]),
    [final] ).

cnf(c_0_703,hypothesis,
    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))) = compose(compose(compose(g,a),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_145,c_0_47]),
    [final] ).

cnf(c_0_704,hypothesis,
    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))) = compose(compose(compose(h,a),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_146,c_0_49]),
    [final] ).

cnf(c_0_705,hypothesis,
    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))) = compose(compose(compose(g,a),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_146,c_0_47]),
    [final] ).

cnf(c_0_706,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_215,c_0_48]),
    [final] ).

cnf(c_0_707,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_215,c_0_46]),
    [final] ).

cnf(c_0_708,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_216,c_0_48]),
    [final] ).

cnf(c_0_709,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_216,c_0_46]),
    [final] ).

cnf(c_0_710,hypothesis,
    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)) = compose(compose(compose(a,b),compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_130,c_0_26]),
    [final] ).

cnf(c_0_711,hypothesis,
    ifeq(domain(X1),codomain(compose(compose(a,b),domain(X1))),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),codomain(compose(compose(a,b),domain(X1))))),compose(compose(a,b),domain(X1))),compose(compose(a,b),domain(X1))) = compose(compose(a,b),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_37]),
    [final] ).

cnf(c_0_712,hypothesis,
    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))) = compose(compose(compose(a,b),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_155,c_0_48]),
    [final] ).

cnf(c_0_713,hypothesis,
    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))) = compose(compose(compose(a,b),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_155,c_0_46]),
    [final] ).

cnf(c_0_714,hypothesis,
    ifeq(domain(X1),codomain(compose(compose(h,compose(a,b)),domain(X1))),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(domain(X1),codomain(compose(compose(h,compose(a,b)),domain(X1))))),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_51]),
    [final] ).

cnf(c_0_715,hypothesis,
    ifeq(domain(X1),codomain(compose(compose(h,a),domain(X1))),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),codomain(compose(compose(h,a),domain(X1))))),compose(compose(h,a),domain(X1))),compose(compose(h,a),domain(X1))) = compose(compose(h,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_49]),
    [final] ).

cnf(c_0_716,hypothesis,
    ifeq(domain(X1),codomain(compose(compose(g,a),domain(X1))),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),codomain(compose(compose(g,a),domain(X1))))),compose(compose(g,a),domain(X1))),compose(compose(g,a),domain(X1))) = compose(compose(g,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_47]),
    [final] ).

cnf(c_0_717,hypothesis,
    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)) = compose(compose(compose(h,a),compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_718,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,a),domain(X1))),compose(compose(codomain(X2),compose(h,a)),domain(X1))),compose(compose(codomain(X2),compose(h,a)),domain(X1))) = compose(compose(codomain(X2),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_139,c_0_44]),
    [final] ).

cnf(c_0_719,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(a,b),codomain(X1))),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),codomain(compose(compose(a,b),codomain(X1))))),compose(compose(a,b),codomain(X1))),compose(compose(a,b),codomain(X1))) = compose(compose(a,b),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_37]),
    [final] ).

cnf(c_0_720,hypothesis,
    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)) = compose(compose(compose(g,a),compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_721,hypothesis,
    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)))) = compose(compose(compose(h,a),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_221,c_0_42]),
    [final] ).

cnf(c_0_722,hypothesis,
    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)))) = compose(compose(compose(g,a),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_222,c_0_42]),
    [final] ).

cnf(c_0_723,hypothesis,
    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)))) = compose(compose(compose(h,a),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_223,c_0_42]),
    [final] ).

cnf(c_0_724,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(g,a),domain(X1))),compose(compose(codomain(X2),compose(g,a)),domain(X1))),compose(compose(codomain(X2),compose(g,a)),domain(X1))) = compose(compose(codomain(X2),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_140,c_0_44]),
    [final] ).

cnf(c_0_725,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(h,compose(a,b)),codomain(X1))),ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(X1),codomain(compose(compose(h,compose(a,b)),codomain(X1))))),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_51]),
    [final] ).

cnf(c_0_726,hypothesis,
    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)))) = compose(compose(compose(g,a),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_224,c_0_42]),
    [final] ).

cnf(c_0_727,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(h,a)),g),
    inference(spm,[status(thm)],[c_0_225,c_0_51]),
    [final] ).

cnf(c_0_728,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(g,a)),g),
    inference(spm,[status(thm)],[c_0_226,c_0_51]),
    [final] ).

cnf(c_0_729,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_51]),
    [final] ).

cnf(c_0_730,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(h,a),codomain(X1))),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),codomain(compose(compose(h,a),codomain(X1))))),compose(compose(h,a),codomain(X1))),compose(compose(h,a),codomain(X1))) = compose(compose(h,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_49]),
    [final] ).

cnf(c_0_731,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_51]),
    [final] ).

cnf(c_0_732,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_51]),
    [final] ).

cnf(c_0_733,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_51]),
    [final] ).

cnf(c_0_734,hypothesis,
    ifeq(codomain(X1),codomain(compose(compose(g,a),codomain(X1))),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),codomain(compose(compose(g,a),codomain(X1))))),compose(compose(g,a),codomain(X1))),compose(compose(g,a),codomain(X1))) = compose(compose(g,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_47]),
    [final] ).

cnf(c_0_735,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(h,a),codomain(X1))),compose(compose(codomain(X2),compose(h,a)),codomain(X1))),compose(compose(codomain(X2),compose(h,a)),codomain(X1))) = compose(compose(codomain(X2),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_143,c_0_44]),
    [final] ).

cnf(c_0_736,hypothesis,
    ifeq(codomain(b),codomain(compose(domain(X1),compose(a,b))),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),codomain(compose(domain(X1),compose(a,b))))),compose(domain(X1),compose(a,b))),compose(domain(X1),compose(a,b))) = compose(domain(X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_29]),
    [final] ).

cnf(c_0_737,hypothesis,
    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))) = compose(compose(h,compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_154,c_0_48]),
    [final] ).

cnf(c_0_738,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(compose(g,a),codomain(X1))),compose(compose(codomain(X2),compose(g,a)),codomain(X1))),compose(compose(codomain(X2),compose(g,a)),codomain(X1))) = compose(compose(codomain(X2),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_144,c_0_44]),
    [final] ).

cnf(c_0_739,hypothesis,
    ifeq(codomain(b),codomain(compose(codomain(X1),compose(a,b))),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),codomain(compose(codomain(X1),compose(a,b))))),compose(codomain(X1),compose(a,b))),compose(codomain(X1),compose(a,b))) = compose(codomain(X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_44]),
    [final] ).

cnf(c_0_740,hypothesis,
    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))) = compose(compose(h,compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_154,c_0_46]),
    [final] ).

cnf(c_0_741,hypothesis,
    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)))) = compose(compose(h,compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_232,c_0_42]),
    [final] ).

cnf(c_0_742,hypothesis,
    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)))) = compose(compose(h,compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_233,c_0_42]),
    [final] ).

cnf(c_0_743,hypothesis,
    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))) = compose(compose(a,b),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_37]),
    [final] ).

cnf(c_0_744,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_51]),
    [final] ).

cnf(c_0_745,hypothesis,
    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))) = compose(compose(g,compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_156,c_0_48]),
    [final] ).

cnf(c_0_746,hypothesis,
    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))) = compose(compose(h,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_49]),
    [final] ).

cnf(c_0_747,hypothesis,
    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))) = compose(compose(g,compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_156,c_0_46]),
    [final] ).

cnf(c_0_748,hypothesis,
    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)))) = compose(compose(g,compose(h,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_234,c_0_42]),
    [final] ).

cnf(c_0_749,hypothesis,
    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)))) = compose(compose(g,compose(g,a)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_235,c_0_42]),
    [final] ).

cnf(c_0_750,hypothesis,
    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))) = compose(compose(g,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_47]),
    [final] ).

cnf(c_0_751,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,a),domain(X1))),compose(compose(domain(X2),compose(h,a)),domain(X1))),compose(compose(domain(X2),compose(h,a)),domain(X1))) = compose(compose(domain(X2),compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_164,c_0_45]),
    [final] ).

cnf(c_0_752,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(h,a),codomain(X1))),compose(compose(domain(X2),compose(h,a)),codomain(X1))),compose(compose(domain(X2),compose(h,a)),codomain(X1))) = compose(compose(domain(X2),compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_164,c_0_30]),
    [final] ).

cnf(c_0_753,hypothesis,
    ifeq(codomain(b),codomain(compose(domain(X1),compose(h,compose(a,b)))),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),codomain(compose(domain(X1),compose(h,compose(a,b)))))),compose(domain(X1),compose(h,compose(a,b)))),compose(domain(X1),compose(h,compose(a,b)))) = compose(domain(X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_29]),
    [final] ).

cnf(c_0_754,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(g,a),domain(X1))),compose(compose(domain(X2),compose(g,a)),domain(X1))),compose(compose(domain(X2),compose(g,a)),domain(X1))) = compose(compose(domain(X2),compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_165,c_0_45]),
    [final] ).

cnf(c_0_755,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(compose(g,a),codomain(X1))),compose(compose(domain(X2),compose(g,a)),codomain(X1))),compose(compose(domain(X2),compose(g,a)),codomain(X1))) = compose(compose(domain(X2),compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_165,c_0_30]),
    [final] ).

cnf(c_0_756,hypothesis,
    ifeq(codomain(b),codomain(compose(codomain(X1),compose(h,compose(a,b)))),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),codomain(compose(codomain(X1),compose(h,compose(a,b)))))),compose(codomain(X1),compose(h,compose(a,b)))),compose(codomain(X1),compose(h,compose(a,b)))) = compose(codomain(X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_44]),
    [final] ).

cnf(c_0_757,hypothesis,
    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)))) = compose(compose(a,b),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_37]),
    [final] ).

cnf(c_0_758,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_51]),
    [final] ).

cnf(c_0_759,hypothesis,
    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)))) = compose(compose(h,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_49]),
    [final] ).

cnf(c_0_760,hypothesis,
    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)))) = compose(compose(g,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_47]),
    [final] ).

cnf(c_0_761,hypothesis,
    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))) = compose(compose(a,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_157,c_0_48]),
    [final] ).

cnf(c_0_762,hypothesis,
    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)))) = compose(a,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_236,c_0_18]),
    [final] ).

cnf(c_0_763,hypothesis,
    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))) = compose(compose(a,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_157,c_0_46]),
    [final] ).

cnf(c_0_764,hypothesis,
    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))) = compose(compose(a,compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_188,c_0_43]),
    [final] ).

cnf(c_0_765,hypothesis,
    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))) = compose(compose(a,compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_189,c_0_43]),
    [final] ).

cnf(c_0_766,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),compose(a,b))),compose(compose(domain(X2),domain(X1)),compose(a,b))),compose(compose(domain(X2),domain(X1)),compose(a,b))) = compose(compose(domain(X2),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_161,c_0_43]),
    [final] ).

cnf(c_0_767,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),compose(a,b))),compose(compose(codomain(X2),domain(X1)),compose(a,b))),compose(compose(codomain(X2),domain(X1)),compose(a,b))) = compose(compose(codomain(X2),domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_162,c_0_43]),
    [final] ).

cnf(c_0_768,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),domain(X2))),compose(compose(compose(a,b),domain(X1)),domain(X2))),compose(compose(compose(a,b),domain(X1)),domain(X2))) = compose(compose(compose(a,b),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_160,c_0_45]),
    [final] ).

cnf(c_0_769,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),codomain(X2))),compose(compose(compose(a,b),domain(X1)),codomain(X2))),compose(compose(compose(a,b),domain(X1)),codomain(X2))) = compose(compose(compose(a,b),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_160,c_0_30]),
    [final] ).

cnf(c_0_770,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),domain(X2))),compose(compose(compose(h,a),domain(X1)),domain(X2))),compose(compose(compose(h,a),domain(X1)),domain(X2))) = compose(compose(compose(h,a),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_166,c_0_45]),
    [final] ).

cnf(c_0_771,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),codomain(X2))),compose(compose(compose(h,a),domain(X1)),codomain(X2))),compose(compose(compose(h,a),domain(X1)),codomain(X2))) = compose(compose(compose(h,a),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_166,c_0_30]),
    [final] ).

cnf(c_0_772,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),domain(X2))),compose(compose(compose(g,a),domain(X1)),domain(X2))),compose(compose(compose(g,a),domain(X1)),domain(X2))) = compose(compose(compose(g,a),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_167,c_0_45]),
    [final] ).

cnf(c_0_773,hypothesis,
    ifeq(domain(b),codomain(compose(domain(X1),compose(h,a))),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),codomain(compose(domain(X1),compose(h,a))))),compose(domain(X1),compose(h,a))),compose(domain(X1),compose(h,a))) = compose(domain(X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_29]),
    [final] ).

cnf(c_0_774,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),codomain(X2))),compose(compose(compose(g,a),domain(X1)),codomain(X2))),compose(compose(compose(g,a),domain(X1)),codomain(X2))) = compose(compose(compose(g,a),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_167,c_0_30]),
    [final] ).

cnf(c_0_775,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),compose(h,a))),compose(compose(domain(X2),domain(X1)),compose(h,a))),compose(compose(domain(X2),domain(X1)),compose(h,a))) = compose(compose(domain(X2),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_161,c_0_48]),
    [final] ).

cnf(c_0_776,hypothesis,
    ifeq(domain(b),codomain(compose(codomain(X1),compose(h,a))),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),codomain(compose(codomain(X1),compose(h,a))))),compose(codomain(X1),compose(h,a))),compose(codomain(X1),compose(h,a))) = compose(codomain(X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_44]),
    [final] ).

cnf(c_0_777,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),compose(g,a))),compose(compose(domain(X2),domain(X1)),compose(g,a))),compose(compose(domain(X2),domain(X1)),compose(g,a))) = compose(compose(domain(X2),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_161,c_0_46]),
    [final] ).

cnf(c_0_778,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),compose(h,a))),compose(compose(codomain(X2),domain(X1)),compose(h,a))),compose(compose(codomain(X2),domain(X1)),compose(h,a))) = compose(compose(codomain(X2),domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_162,c_0_48]),
    [final] ).

cnf(c_0_779,hypothesis,
    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))) = compose(compose(a,b),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_37]),
    [final] ).

cnf(c_0_780,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),compose(g,a))),compose(compose(codomain(X2),domain(X1)),compose(g,a))),compose(compose(codomain(X2),domain(X1)),compose(g,a))) = compose(compose(codomain(X2),domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_162,c_0_46]),
    [final] ).

cnf(c_0_781,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),compose(a,b))),compose(compose(domain(X2),codomain(X1)),compose(a,b))),compose(compose(domain(X2),codomain(X1)),compose(a,b))) = compose(compose(domain(X2),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_170,c_0_43]),
    [final] ).

cnf(c_0_782,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_51]),
    [final] ).

cnf(c_0_783,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),compose(h,a))),compose(compose(domain(X2),codomain(X1)),compose(h,a))),compose(compose(domain(X2),codomain(X1)),compose(h,a))) = compose(compose(domain(X2),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_170,c_0_48]),
    [final] ).

cnf(c_0_784,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),compose(a,b))),compose(compose(codomain(X2),codomain(X1)),compose(a,b))),compose(compose(codomain(X2),codomain(X1)),compose(a,b))) = compose(compose(codomain(X2),codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_171,c_0_43]),
    [final] ).

cnf(c_0_785,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),domain(X2))),compose(compose(compose(a,b),codomain(X1)),domain(X2))),compose(compose(compose(a,b),codomain(X1)),domain(X2))) = compose(compose(compose(a,b),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_172,c_0_45]),
    [final] ).

cnf(c_0_786,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),codomain(X2))),compose(compose(compose(a,b),codomain(X1)),codomain(X2))),compose(compose(compose(a,b),codomain(X1)),codomain(X2))) = compose(compose(compose(a,b),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_172,c_0_30]),
    [final] ).

cnf(c_0_787,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),compose(g,a))),compose(compose(domain(X2),codomain(X1)),compose(g,a))),compose(compose(domain(X2),codomain(X1)),compose(g,a))) = compose(compose(domain(X2),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_170,c_0_46]),
    [final] ).

cnf(c_0_788,hypothesis,
    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))) = compose(compose(h,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_49]),
    [final] ).

cnf(c_0_789,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),compose(h,a))),compose(compose(codomain(X1),compose(h,a)),compose(h,a))),compose(compose(codomain(X1),compose(h,a)),compose(h,a))) = compose(compose(codomain(X1),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_158,c_0_48]),
    [final] ).

cnf(c_0_790,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),compose(g,a))),compose(compose(codomain(X1),compose(h,a)),compose(g,a))),compose(compose(codomain(X1),compose(h,a)),compose(g,a))) = compose(compose(codomain(X1),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_158,c_0_46]),
    [final] ).

cnf(c_0_791,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),compose(h,a))),compose(compose(codomain(X1),compose(g,a)),compose(h,a))),compose(compose(codomain(X1),compose(g,a)),compose(h,a))) = compose(compose(codomain(X1),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_159,c_0_48]),
    [final] ).

cnf(c_0_792,hypothesis,
    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)))) = compose(compose(a,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_238,c_0_42]),
    [final] ).

cnf(c_0_793,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),domain(X2))),compose(compose(compose(h,a),codomain(X1)),domain(X2))),compose(compose(compose(h,a),codomain(X1)),domain(X2))) = compose(compose(compose(h,a),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_174,c_0_45]),
    [final] ).

cnf(c_0_794,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),codomain(X2))),compose(compose(compose(h,a),codomain(X1)),codomain(X2))),compose(compose(compose(h,a),codomain(X1)),codomain(X2))) = compose(compose(compose(h,a),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_174,c_0_30]),
    [final] ).

cnf(c_0_795,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),domain(X2))),compose(compose(compose(g,a),codomain(X1)),domain(X2))),compose(compose(compose(g,a),codomain(X1)),domain(X2))) = compose(compose(compose(g,a),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_176,c_0_45]),
    [final] ).

cnf(c_0_796,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),codomain(X2))),compose(compose(compose(g,a),codomain(X1)),codomain(X2))),compose(compose(compose(g,a),codomain(X1)),codomain(X2))) = compose(compose(compose(g,a),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_176,c_0_30]),
    [final] ).

cnf(c_0_797,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),compose(h,a))),compose(compose(codomain(X2),codomain(X1)),compose(h,a))),compose(compose(codomain(X2),codomain(X1)),compose(h,a))) = compose(compose(codomain(X2),codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_171,c_0_48]),
    [final] ).

cnf(c_0_798,hypothesis,
    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))) = compose(compose(g,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_47]),
    [final] ).

cnf(c_0_799,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),compose(g,a))),compose(compose(codomain(X1),compose(g,a)),compose(g,a))),compose(compose(codomain(X1),compose(g,a)),compose(g,a))) = compose(compose(codomain(X1),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_159,c_0_46]),
    [final] ).

cnf(c_0_800,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),compose(g,a))),compose(compose(codomain(X2),codomain(X1)),compose(g,a))),compose(compose(codomain(X2),codomain(X1)),compose(g,a))) = compose(compose(codomain(X2),codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_171,c_0_46]),
    [final] ).

cnf(c_0_801,hypothesis,
    ifeq(domain(b),codomain(compose(domain(X1),compose(g,a))),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),codomain(compose(domain(X1),compose(g,a))))),compose(domain(X1),compose(g,a))),compose(domain(X1),compose(g,a))) = compose(domain(X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_29]),
    [final] ).

cnf(c_0_802,hypothesis,
    ifeq(domain(b),codomain(compose(codomain(X1),compose(g,a))),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),codomain(compose(codomain(X1),compose(g,a))))),compose(codomain(X1),compose(g,a))),compose(codomain(X1),compose(g,a))) = compose(codomain(X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_44]),
    [final] ).

cnf(c_0_803,hypothesis,
    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))) = compose(compose(a,b),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_37]),
    [final] ).

cnf(c_0_804,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_51]),
    [final] ).

cnf(c_0_805,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),compose(h,a))),compose(compose(domain(X1),compose(h,a)),compose(h,a))),compose(compose(domain(X1),compose(h,a)),compose(h,a))) = compose(compose(domain(X1),compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_164,c_0_48]),
    [final] ).

cnf(c_0_806,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),compose(g,a))),compose(compose(domain(X1),compose(h,a)),compose(g,a))),compose(compose(domain(X1),compose(h,a)),compose(g,a))) = compose(compose(domain(X1),compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_164,c_0_46]),
    [final] ).

cnf(c_0_807,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),compose(h,a))),compose(compose(domain(X1),compose(g,a)),compose(h,a))),compose(compose(domain(X1),compose(g,a)),compose(h,a))) = compose(compose(domain(X1),compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_165,c_0_48]),
    [final] ).

cnf(c_0_808,hypothesis,
    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))) = compose(compose(h,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_49]),
    [final] ).

cnf(c_0_809,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),compose(g,a))),compose(compose(domain(X1),compose(g,a)),compose(g,a))),compose(compose(domain(X1),compose(g,a)),compose(g,a))) = compose(compose(domain(X1),compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_165,c_0_46]),
    [final] ).

cnf(c_0_810,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(h,compose(a,b)))),compose(compose(codomain(X1),h),compose(h,compose(a,b)))),compose(compose(codomain(X1),h),compose(h,compose(a,b)))) = compose(compose(codomain(X1),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_240,c_0_42]),
    [final] ).

cnf(c_0_811,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,compose(h,compose(a,b)))),compose(compose(codomain(X1),g),compose(h,compose(a,b)))),compose(compose(codomain(X1),g),compose(h,compose(a,b)))) = compose(compose(codomain(X1),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_241,c_0_42]),
    [final] ).

cnf(c_0_812,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(h,compose(a,b)))),compose(compose(domain(X1),h),compose(h,compose(a,b)))),compose(compose(domain(X1),h),compose(h,compose(a,b)))) = compose(compose(domain(X1),h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_242,c_0_42]),
    [final] ).

cnf(c_0_813,hypothesis,
    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))) = compose(compose(g,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_47]),
    [final] ).

cnf(c_0_814,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,compose(h,compose(a,b)))),compose(compose(domain(X1),g),compose(h,compose(a,b)))),compose(compose(domain(X1),g),compose(h,compose(a,b)))) = compose(compose(domain(X1),g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_243,c_0_42]),
    [final] ).

cnf(c_0_815,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,compose(a,b)),g)),compose(compose(codomain(X1),compose(h,compose(a,b))),g)),compose(compose(codomain(X1),compose(h,compose(a,b))),g)) = compose(compose(codomain(X1),compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_816,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,compose(a,b)),g)),compose(compose(domain(X1),compose(h,compose(a,b))),g)),compose(compose(domain(X1),compose(h,compose(a,b))),g)) = compose(compose(domain(X1),compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_817,hypothesis,
    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)))) = compose(h,compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_818,hypothesis,
    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)))) = compose(g,compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_819,hypothesis,
    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)) = compose(compose(h,compose(a,b)),h),
    inference(spm,[status(thm)],[c_0_248,c_0_51]),
    [final] ).

cnf(c_0_820,hypothesis,
    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)) = compose(compose(h,compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_249,c_0_51]),
    [final] ).

cnf(c_0_821,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,compose(a,b))),compose(compose(codomain(X1),a),compose(a,b))),compose(compose(codomain(X1),a),compose(a,b))) = compose(compose(codomain(X1),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_178,c_0_43]),
    [final] ).

cnf(c_0_822,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,domain(X1))),compose(compose(compose(a,b),a),domain(X1))),compose(compose(compose(a,b),a),domain(X1))) = compose(compose(compose(a,b),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_175,c_0_37]),
    [final] ).

cnf(c_0_823,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,codomain(X1))),compose(compose(compose(a,b),a),codomain(X1))),compose(compose(compose(a,b),a),codomain(X1))) = compose(compose(compose(a,b),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_177,c_0_37]),
    [final] ).

cnf(c_0_824,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,compose(a,b))),compose(compose(domain(X1),a),compose(a,b))),compose(compose(domain(X1),a),compose(a,b))) = compose(compose(domain(X1),a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_179,c_0_43]),
    [final] ).

cnf(c_0_825,hypothesis,
    ifeq(codomain(b),domain(X1),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),domain(X1))),compose(compose(a,compose(a,b)),domain(X1))),compose(compose(a,compose(a,b)),domain(X1))) = compose(compose(a,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_826,hypothesis,
    ifeq(codomain(b),codomain(X1),ifeq(domain(b),domain(a),compose(a,compose(compose(a,b),codomain(X1))),compose(compose(a,compose(a,b)),codomain(X1))),compose(compose(a,compose(a,b)),codomain(X1))) = compose(compose(a,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_827,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_250,c_0_37]),
    [final] ).

cnf(c_0_828,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_829,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_251,c_0_51]),
    [final] ).

cnf(c_0_830,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X1),b),compose(compose(h,compose(a,b)),b),domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_252,c_0_51]),
    [final] ).

cnf(c_0_831,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X1),b),compose(compose(h,compose(a,b)),b),codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_253,c_0_51]),
    [final] ).

cnf(c_0_832,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain(X1),b),domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_254,c_0_29]),
    [final] ).

cnf(c_0_833,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(X1),b),codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_254,c_0_44]),
    [final] ).

cnf(c_0_834,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_254,c_0_37]),
    [final] ).

cnf(c_0_835,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_836,hypothesis,
    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)) = compose(compose(a,b),a),
    inference(spm,[status(thm)],[c_0_255,c_0_18]),
    [final] ).

cnf(c_0_837,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_256,c_0_51]),
    [final] ).

cnf(c_0_838,hypothesis,
    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))) = compose(a,compose(a,b)),
    inference(spm,[status(thm)],[c_0_231,c_0_18]),
    [final] ).

cnf(c_0_839,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),compose(a,b))),compose(compose(a,domain(X1)),compose(a,b))),compose(compose(a,domain(X1)),compose(a,b))) = compose(compose(a,domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_190,c_0_43]),
    [final] ).

cnf(c_0_840,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),compose(a,b))),compose(compose(a,codomain(X1)),compose(a,b))),compose(compose(a,codomain(X1)),compose(a,b))) = compose(compose(a,codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_192,c_0_43]),
    [final] ).

cnf(c_0_841,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(compose(h,domain(X1))),domain(h),compose(h,domain(X1)),compose(compose(domain(compose(h,domain(X1))),h),domain(X1))),compose(compose(domain(compose(h,domain(X1))),h),domain(X1))) = compose(compose(domain(compose(h,domain(X1))),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_212,c_0_22]),
    [final] ).

cnf(c_0_842,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(compose(h,codomain(X1))),domain(h),compose(h,codomain(X1)),compose(compose(domain(compose(h,codomain(X1))),h),codomain(X1))),compose(compose(domain(compose(h,codomain(X1))),h),codomain(X1))) = compose(compose(domain(compose(h,codomain(X1))),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_213,c_0_22]),
    [final] ).

cnf(c_0_843,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(compose(domain(X1),g)),domain(X1),compose(domain(X1),g),compose(compose(domain(compose(domain(X1),g)),domain(X1)),g)),compose(compose(domain(compose(domain(X1),g)),domain(X1)),g)) = compose(compose(domain(compose(domain(X1),g)),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_195,c_0_26]),
    [final] ).

cnf(c_0_844,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(compose(codomain(X1),g)),codomain(X1),compose(codomain(X1),g),compose(compose(domain(compose(codomain(X1),g)),codomain(X1)),g)),compose(compose(domain(compose(codomain(X1),g)),codomain(X1)),g)) = compose(compose(domain(compose(codomain(X1),g)),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_196,c_0_26]),
    [final] ).

cnf(c_0_845,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(compose(g,domain(X1))),domain(h),compose(g,domain(X1)),compose(compose(domain(compose(g,domain(X1))),g),domain(X1))),compose(compose(domain(compose(g,domain(X1))),g),domain(X1))) = compose(compose(domain(compose(g,domain(X1))),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_211,c_0_45]),
    [final] ).

cnf(c_0_846,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_257,c_0_51]),
    [final] ).

cnf(c_0_847,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(compose(g,codomain(X1))),domain(h),compose(g,codomain(X1)),compose(compose(domain(compose(g,codomain(X1))),g),codomain(X1))),compose(compose(domain(compose(g,codomain(X1))),g),codomain(X1))) = compose(compose(domain(compose(g,codomain(X1))),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_211,c_0_30]),
    [final] ).

cnf(c_0_848,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_258,c_0_51]),
    [final] ).

cnf(c_0_849,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_259,c_0_51]),
    [final] ).

cnf(c_0_850,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_254,c_0_18]),
    [final] ).

cnf(c_0_851,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(domain(a),b),X1,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_87,c_0_51]),
    [final] ).

cnf(c_0_852,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_51]),
    [final] ).

cnf(c_0_853,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X1),a),compose(compose(h,compose(a,b)),a),domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_29]),
    [final] ).

cnf(c_0_854,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X1),a),compose(compose(h,compose(a,b)),a),codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_44]),
    [final] ).

cnf(c_0_855,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_37]),
    [final] ).

cnf(c_0_856,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_49]),
    [final] ).

cnf(c_0_857,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_47]),
    [final] ).

cnf(c_0_858,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_261,c_0_18]),
    [final] ).

cnf(c_0_859,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_51]),
    [final] ).

cnf(c_0_860,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,domain(X1))),compose(compose(compose(h,a),a),domain(X1))),compose(compose(compose(h,a),a),domain(X1))) = compose(compose(compose(h,a),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_175,c_0_49]),
    [final] ).

cnf(c_0_861,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain(X1),a),domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_29]),
    [final] ).

cnf(c_0_862,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,domain(X1))),compose(compose(compose(g,a),a),domain(X1))),compose(compose(compose(g,a),a),domain(X1))) = compose(compose(compose(g,a),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_175,c_0_47]),
    [final] ).

cnf(c_0_863,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,codomain(X1))),compose(compose(compose(h,a),a),codomain(X1))),compose(compose(compose(h,a),a),codomain(X1))) = compose(compose(compose(h,a),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_177,c_0_49]),
    [final] ).

cnf(c_0_864,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,codomain(X1))),compose(compose(compose(g,a),a),codomain(X1))),compose(compose(compose(g,a),a),codomain(X1))) = compose(compose(compose(g,a),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_177,c_0_47]),
    [final] ).

cnf(c_0_865,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(X1),a),codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_44]),
    [final] ).

cnf(c_0_866,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_37]),
    [final] ).

cnf(c_0_867,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_49]),
    [final] ).

cnf(c_0_868,hypothesis,
    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))) = compose(compose(domain(compose(h,compose(h,a))),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_193,c_0_22]),
    [final] ).

cnf(c_0_869,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_47]),
    [final] ).

cnf(c_0_870,hypothesis,
    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))) = compose(compose(domain(compose(h,compose(g,a))),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_194,c_0_22]),
    [final] ).

cnf(c_0_871,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_263,c_0_18]),
    [final] ).

cnf(c_0_872,hypothesis,
    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)) = compose(compose(domain(compose(compose(h,a),g)),compose(h,a)),g),
    inference(spm,[status(thm)],[c_0_205,c_0_26]),
    [final] ).

cnf(c_0_873,hypothesis,
    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)) = compose(compose(domain(compose(compose(g,a),g)),compose(g,a)),g),
    inference(spm,[status(thm)],[c_0_208,c_0_26]),
    [final] ).

cnf(c_0_874,hypothesis,
    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))) = compose(compose(domain(compose(g,compose(h,a))),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_211,c_0_48]),
    [final] ).

cnf(c_0_875,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),compose(a,b))),compose(compose(h,domain(X1)),compose(a,b))),compose(compose(h,domain(X1)),compose(a,b))) = compose(compose(h,domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_206,c_0_43]),
    [final] ).

cnf(c_0_876,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),compose(a,b))),compose(compose(g,domain(X1)),compose(a,b))),compose(compose(g,domain(X1)),compose(a,b))) = compose(compose(g,domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_207,c_0_43]),
    [final] ).

cnf(c_0_877,hypothesis,
    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))) = compose(compose(domain(compose(g,compose(g,a))),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_211,c_0_46]),
    [final] ).

cnf(c_0_878,hypothesis,
    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))) = compose(compose(compose(h,a),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_168,c_0_48]),
    [final] ).

cnf(c_0_879,hypothesis,
    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))) = compose(compose(compose(h,a),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_168,c_0_46]),
    [final] ).

cnf(c_0_880,hypothesis,
    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))) = compose(compose(compose(g,a),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_169,c_0_48]),
    [final] ).

cnf(c_0_881,hypothesis,
    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))) = compose(compose(compose(g,a),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_169,c_0_46]),
    [final] ).

cnf(c_0_882,hypothesis,
    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)) = compose(compose(compose(h,a),compose(a,b)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_883,hypothesis,
    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)) = compose(compose(compose(g,a),compose(a,b)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_884,hypothesis,
    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))) = compose(compose(h,compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_232,c_0_43]),
    [final] ).

cnf(c_0_885,hypothesis,
    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))) = compose(compose(h,compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_233,c_0_43]),
    [final] ).

cnf(c_0_886,hypothesis,
    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))) = compose(compose(g,compose(h,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_234,c_0_43]),
    [final] ).

cnf(c_0_887,hypothesis,
    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))) = compose(compose(g,compose(g,a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_235,c_0_43]),
    [final] ).

cnf(c_0_888,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_51]),
    [final] ).

cnf(c_0_889,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),compose(a,b))),compose(compose(h,codomain(X1)),compose(a,b))),compose(compose(h,codomain(X1)),compose(a,b))) = compose(compose(h,codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_209,c_0_43]),
    [final] ).

cnf(c_0_890,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),compose(a,b))),compose(compose(g,codomain(X1)),compose(a,b))),compose(compose(g,codomain(X1)),compose(a,b))) = compose(compose(g,codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_210,c_0_43]),
    [final] ).

cnf(c_0_891,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,compose(g,a))),compose(compose(compose(h,a),X1),compose(g,a))),compose(compose(compose(h,a),X1),compose(g,a))) = compose(compose(compose(h,a),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_265,c_0_49]),
    [final] ).

cnf(c_0_892,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,compose(g,a))),compose(compose(compose(g,a),X1),compose(g,a))),compose(compose(compose(g,a),X1),compose(g,a))) = compose(compose(compose(g,a),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_265,c_0_47]),
    [final] ).

cnf(c_0_893,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(compose(g,a),X1)),compose(compose(compose(h,a),compose(g,a)),X1)),compose(compose(compose(h,a),compose(g,a)),X1)) = compose(compose(compose(h,a),compose(g,a)),X1),
    inference(spm,[status(thm)],[c_0_68,c_0_49]),
    [final] ).

cnf(c_0_894,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(compose(g,a),X1)),compose(compose(compose(g,a),compose(g,a)),X1)),compose(compose(compose(g,a),compose(g,a)),X1)) = compose(compose(compose(g,a),compose(g,a)),X1),
    inference(spm,[status(thm)],[c_0_68,c_0_47]),
    [final] ).

cnf(c_0_895,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,compose(h,a))),compose(compose(codomain(X1),a),compose(h,a))),compose(compose(codomain(X1),a),compose(h,a))) = compose(compose(codomain(X1),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_178,c_0_48]),
    [final] ).

cnf(c_0_896,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,compose(g,a))),compose(compose(codomain(X1),a),compose(g,a))),compose(compose(codomain(X1),a),compose(g,a))) = compose(compose(codomain(X1),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_178,c_0_46]),
    [final] ).

cnf(c_0_897,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,domain(X1))),compose(compose(compose(a,b),h),domain(X1))),compose(compose(compose(a,b),h),domain(X1))) = compose(compose(compose(a,b),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_199,c_0_37]),
    [final] ).

cnf(c_0_898,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,domain(X1))),compose(compose(compose(a,b),g),domain(X1))),compose(compose(compose(a,b),g),domain(X1))) = compose(compose(compose(a,b),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_200,c_0_37]),
    [final] ).

cnf(c_0_899,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,codomain(X1))),compose(compose(compose(a,b),h),codomain(X1))),compose(compose(compose(a,b),h),codomain(X1))) = compose(compose(compose(a,b),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_201,c_0_37]),
    [final] ).

cnf(c_0_900,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,codomain(X1))),compose(compose(compose(a,b),g),codomain(X1))),compose(compose(compose(a,b),g),codomain(X1))) = compose(compose(compose(a,b),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_202,c_0_37]),
    [final] ).

cnf(c_0_901,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,compose(h,a))),compose(compose(domain(X1),a),compose(h,a))),compose(compose(domain(X1),a),compose(h,a))) = compose(compose(domain(X1),a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_179,c_0_48]),
    [final] ).

cnf(c_0_902,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,compose(g,a))),compose(compose(domain(X1),a),compose(g,a))),compose(compose(domain(X1),a),compose(g,a))) = compose(compose(domain(X1),a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_179,c_0_46]),
    [final] ).

cnf(c_0_903,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(compose(a,b),g)),compose(compose(codomain(X1),compose(a,b)),g)),compose(compose(codomain(X1),compose(a,b)),g)) = compose(compose(codomain(X1),compose(a,b)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_904,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,compose(g,a))),compose(compose(compose(h,compose(a,b)),X1),compose(g,a))),compose(compose(compose(h,compose(a,b)),X1),compose(g,a))) = compose(compose(compose(h,compose(a,b)),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_266,c_0_46]),
    [final] ).

cnf(c_0_905,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(compose(a,b),g)),compose(compose(domain(X1),compose(a,b)),g)),compose(compose(domain(X1),compose(a,b)),g)) = compose(compose(domain(X1),compose(a,b)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_906,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),domain(X1))),compose(compose(a,compose(h,a)),domain(X1))),compose(compose(a,compose(h,a)),domain(X1))) = compose(compose(a,compose(h,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_907,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),domain(X1))),compose(compose(a,compose(g,a)),domain(X1))),compose(compose(a,compose(g,a)),domain(X1))) = compose(compose(a,compose(g,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_908,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(h,a),codomain(X1))),compose(compose(a,compose(h,a)),codomain(X1))),compose(compose(a,compose(h,a)),codomain(X1))) = compose(compose(a,compose(h,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_909,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(h),compose(a,compose(compose(g,a),codomain(X1))),compose(compose(a,compose(g,a)),codomain(X1))),compose(compose(a,compose(g,a)),codomain(X1))) = compose(compose(a,compose(g,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_910,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(domain(X1),g)),compose(compose(compose(a,b),domain(X1)),g)),compose(compose(compose(a,b),domain(X1)),g)) = compose(compose(compose(a,b),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_160,c_0_26]),
    [final] ).

cnf(c_0_911,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),compose(h,a))),compose(compose(a,domain(X1)),compose(h,a))),compose(compose(a,domain(X1)),compose(h,a))) = compose(compose(a,domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_190,c_0_48]),
    [final] ).

cnf(c_0_912,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),compose(g,a))),compose(compose(a,domain(X1)),compose(g,a))),compose(compose(a,domain(X1)),compose(g,a))) = compose(compose(a,domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_190,c_0_46]),
    [final] ).

cnf(c_0_913,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(compose(g,a),X1)),compose(compose(compose(h,compose(a,b)),compose(g,a)),X1)),compose(compose(compose(h,compose(a,b)),compose(g,a)),X1)) = compose(compose(compose(h,compose(a,b)),compose(g,a)),X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_914,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(X1),g)),compose(compose(compose(a,b),codomain(X1)),g)),compose(compose(compose(a,b),codomain(X1)),g)) = compose(compose(compose(a,b),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_172,c_0_26]),
    [final] ).

cnf(c_0_915,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),compose(h,a))),compose(compose(a,codomain(X1)),compose(h,a))),compose(compose(a,codomain(X1)),compose(h,a))) = compose(compose(a,codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_192,c_0_48]),
    [final] ).

cnf(c_0_916,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),compose(g,a))),compose(compose(a,codomain(X1)),compose(g,a))),compose(compose(a,codomain(X1)),compose(g,a))) = compose(compose(a,codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_192,c_0_46]),
    [final] ).

cnf(c_0_917,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_267,c_0_51]),
    [final] ).

cnf(c_0_918,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_268,c_0_51]),
    [final] ).

cnf(c_0_919,hypothesis,
    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))) = compose(compose(a,compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_188,c_0_48]),
    [final] ).

cnf(c_0_920,hypothesis,
    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))) = compose(compose(a,compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_188,c_0_46]),
    [final] ).

cnf(c_0_921,hypothesis,
    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))) = compose(compose(a,compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_189,c_0_48]),
    [final] ).

cnf(c_0_922,hypothesis,
    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))) = compose(compose(a,compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_189,c_0_46]),
    [final] ).

cnf(c_0_923,hypothesis,
    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)) = compose(compose(compose(a,b),compose(h,a)),g),
    inference(spm,[status(thm)],[c_0_225,c_0_37]),
    [final] ).

cnf(c_0_924,hypothesis,
    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)) = compose(compose(compose(a,b),compose(g,a)),g),
    inference(spm,[status(thm)],[c_0_226,c_0_37]),
    [final] ).

cnf(c_0_925,hypothesis,
    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))) = compose(compose(compose(a,b),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_37]),
    [final] ).

cnf(c_0_926,hypothesis,
    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))) = compose(compose(compose(a,b),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_37]),
    [final] ).

cnf(c_0_927,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_928,hypothesis,
    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))) = compose(compose(compose(a,b),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_37]),
    [final] ).

cnf(c_0_929,hypothesis,
    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))) = compose(compose(compose(a,b),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_37]),
    [final] ).

cnf(c_0_930,hypothesis,
    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)))) = compose(compose(a,h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_270,c_0_42]),
    [final] ).

cnf(c_0_931,hypothesis,
    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)) = compose(compose(a,compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_932,hypothesis,
    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)))) = compose(compose(a,g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_272,c_0_42]),
    [final] ).

cnf(c_0_933,hypothesis,
    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)) = compose(compose(h,a),a),
    inference(spm,[status(thm)],[c_0_273,c_0_18]),
    [final] ).

cnf(c_0_934,hypothesis,
    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)) = compose(compose(g,a),a),
    inference(spm,[status(thm)],[c_0_274,c_0_18]),
    [final] ).

cnf(c_0_935,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_936,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_275,c_0_49]),
    [final] ).

cnf(c_0_937,plain,
    ifeq(domain(X1),codomain(compose(domain(X2),domain(X1))),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),codomain(compose(domain(X2),domain(X1))))),compose(domain(X2),domain(X1))),compose(domain(X2),domain(X1))) = compose(domain(X2),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_29]),
    [final] ).

cnf(c_0_938,plain,
    ifeq(domain(X1),codomain(compose(codomain(X2),domain(X1))),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),codomain(compose(codomain(X2),domain(X1))))),compose(codomain(X2),domain(X1))),compose(codomain(X2),domain(X1))) = compose(codomain(X2),domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_44]),
    [final] ).

cnf(c_0_939,plain,
    ifeq(codomain(X1),codomain(compose(domain(X2),codomain(X1))),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),codomain(compose(domain(X2),codomain(X1))))),compose(domain(X2),codomain(X1))),compose(domain(X2),codomain(X1))) = compose(domain(X2),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_29]),
    [final] ).

cnf(c_0_940,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_275,c_0_47]),
    [final] ).

cnf(c_0_941,hypothesis,
    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))) = compose(a,compose(h,a)),
    inference(spm,[status(thm)],[c_0_237,c_0_18]),
    [final] ).

cnf(c_0_942,plain,
    ifeq(codomain(X1),codomain(compose(codomain(X2),codomain(X1))),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),codomain(compose(codomain(X2),codomain(X1))))),compose(codomain(X2),codomain(X1))),compose(codomain(X2),codomain(X1))) = compose(codomain(X2),codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_44]),
    [final] ).

cnf(c_0_943,hypothesis,
    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))) = compose(a,compose(g,a)),
    inference(spm,[status(thm)],[c_0_239,c_0_18]),
    [final] ).

cnf(c_0_944,hypothesis,
    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)) = compose(compose(a,b),h),
    inference(spm,[status(thm)],[c_0_248,c_0_37]),
    [final] ).

cnf(c_0_945,hypothesis,
    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)) = compose(compose(a,b),g),
    inference(spm,[status(thm)],[c_0_249,c_0_37]),
    [final] ).

cnf(c_0_946,hypothesis,
    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))) = compose(compose(a,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_238,c_0_43]),
    [final] ).

cnf(c_0_947,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_276,c_0_51]),
    [final] ).

cnf(c_0_948,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_277,c_0_51]),
    [final] ).

cnf(c_0_949,plain,
    ifeq(domain(X1),domain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(domain(X1),domain(X2))),compose(compose(domain(X3),domain(X1)),domain(X2))),compose(compose(domain(X3),domain(X1)),domain(X2))) = compose(compose(domain(X3),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_161,c_0_45]),
    [final] ).

cnf(c_0_950,plain,
    ifeq(domain(X1),codomain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(domain(X1),codomain(X2))),compose(compose(domain(X3),domain(X1)),codomain(X2))),compose(compose(domain(X3),domain(X1)),codomain(X2))) = compose(compose(domain(X3),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_161,c_0_30]),
    [final] ).

cnf(c_0_951,plain,
    ifeq(domain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(domain(X1),domain(X2))),compose(compose(codomain(X3),domain(X1)),domain(X2))),compose(compose(codomain(X3),domain(X1)),domain(X2))) = compose(compose(codomain(X3),domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_162,c_0_45]),
    [final] ).

cnf(c_0_952,plain,
    ifeq(domain(X1),codomain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(domain(X1),codomain(X2))),compose(compose(codomain(X3),domain(X1)),codomain(X2))),compose(compose(codomain(X3),domain(X1)),codomain(X2))) = compose(compose(codomain(X3),domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_162,c_0_30]),
    [final] ).

cnf(c_0_953,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(X3),codomain(X1),compose(domain(X3),compose(codomain(X1),domain(X2))),compose(compose(domain(X3),codomain(X1)),domain(X2))),compose(compose(domain(X3),codomain(X1)),domain(X2))) = compose(compose(domain(X3),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_170,c_0_45]),
    [final] ).

cnf(c_0_954,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(X3),codomain(X1),compose(domain(X3),compose(codomain(X1),codomain(X2))),compose(compose(domain(X3),codomain(X1)),codomain(X2))),compose(compose(domain(X3),codomain(X1)),codomain(X2))) = compose(compose(domain(X3),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_170,c_0_30]),
    [final] ).

cnf(c_0_955,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),codomain(X1),compose(codomain(X3),compose(codomain(X1),domain(X2))),compose(compose(codomain(X3),codomain(X1)),domain(X2))),compose(compose(codomain(X3),codomain(X1)),domain(X2))) = compose(compose(codomain(X3),codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_171,c_0_45]),
    [final] ).

cnf(c_0_956,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(X3),codomain(X1),compose(codomain(X3),compose(codomain(X1),codomain(X2))),compose(compose(codomain(X3),codomain(X1)),codomain(X2))),compose(compose(codomain(X3),codomain(X1)),codomain(X2))) = compose(compose(codomain(X3),codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_171,c_0_30]),
    [final] ).

cnf(c_0_957,hypothesis,
    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)) = compose(a,b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_958,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_251,c_0_37]),
    [final] ).

cnf(c_0_959,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,compose(g,a))),compose(compose(compose(a,b),X1),compose(g,a))),compose(compose(compose(a,b),X1),compose(g,a))) = compose(compose(compose(a,b),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_79,c_0_46]),
    [final] ).

cnf(c_0_960,hypothesis,
    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)) = compose(a,b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_961,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_256,c_0_37]),
    [final] ).

cnf(c_0_962,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_49]),
    [final] ).

cnf(c_0_963,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_47]),
    [final] ).

cnf(c_0_964,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_49]),
    [final] ).

cnf(c_0_965,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_47]),
    [final] ).

cnf(c_0_966,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_278,c_0_51]),
    [final] ).

cnf(c_0_967,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_968,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_279,c_0_51]),
    [final] ).

cnf(c_0_969,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_279,c_0_49]),
    [final] ).

cnf(c_0_970,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_279,c_0_47]),
    [final] ).

cnf(c_0_971,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_280,c_0_37]),
    [final] ).

cnf(c_0_972,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_280,c_0_51]),
    [final] ).

cnf(c_0_973,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_281,c_0_37]),
    [final] ).

cnf(c_0_974,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_281,c_0_51]),
    [final] ).

cnf(c_0_975,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,compose(h,a))),compose(compose(compose(a,b),X1),compose(h,a))),compose(compose(compose(a,b),X1),compose(h,a))) = compose(compose(compose(a,b),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_69,c_0_37]),
    [final] ).

cnf(c_0_976,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,compose(h,a))),compose(compose(compose(h,compose(a,b)),X1),compose(h,a))),compose(compose(compose(h,compose(a,b)),X1),compose(h,a))) = compose(compose(compose(h,compose(a,b)),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_69,c_0_51]),
    [final] ).

cnf(c_0_977,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,domain(X1))),compose(compose(compose(h,a),h),domain(X1))),compose(compose(compose(h,a),h),domain(X1))) = compose(compose(compose(h,a),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_199,c_0_49]),
    [final] ).

cnf(c_0_978,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,domain(X1))),compose(compose(compose(g,a),h),domain(X1))),compose(compose(compose(g,a),h),domain(X1))) = compose(compose(compose(g,a),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_199,c_0_47]),
    [final] ).

cnf(c_0_979,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,domain(X1))),compose(compose(compose(h,a),g),domain(X1))),compose(compose(compose(h,a),g),domain(X1))) = compose(compose(compose(h,a),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_200,c_0_49]),
    [final] ).

cnf(c_0_980,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,compose(h,a))),compose(compose(compose(h,a),X1),compose(h,a))),compose(compose(compose(h,a),X1),compose(h,a))) = compose(compose(compose(h,a),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_69,c_0_49]),
    [final] ).

cnf(c_0_981,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,domain(X1))),compose(compose(compose(g,a),g),domain(X1))),compose(compose(compose(g,a),g),domain(X1))) = compose(compose(compose(g,a),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_200,c_0_47]),
    [final] ).

cnf(c_0_982,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,codomain(X1))),compose(compose(compose(h,a),h),codomain(X1))),compose(compose(compose(h,a),h),codomain(X1))) = compose(compose(compose(h,a),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_201,c_0_49]),
    [final] ).

cnf(c_0_983,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,codomain(X1))),compose(compose(compose(g,a),h),codomain(X1))),compose(compose(compose(g,a),h),codomain(X1))) = compose(compose(compose(g,a),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_201,c_0_47]),
    [final] ).

cnf(c_0_984,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,codomain(X1))),compose(compose(compose(h,a),g),codomain(X1))),compose(compose(compose(h,a),g),codomain(X1))) = compose(compose(compose(h,a),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_202,c_0_49]),
    [final] ).

cnf(c_0_985,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,compose(h,a))),compose(compose(compose(g,a),X1),compose(h,a))),compose(compose(compose(g,a),X1),compose(h,a))) = compose(compose(compose(g,a),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_69,c_0_47]),
    [final] ).

cnf(c_0_986,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,codomain(X1))),compose(compose(compose(g,a),g),codomain(X1))),compose(compose(compose(g,a),g),codomain(X1))) = compose(compose(compose(g,a),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_202,c_0_47]),
    [final] ).

cnf(c_0_987,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),domain(X1))),compose(compose(h,compose(h,a)),domain(X1))),compose(compose(h,compose(h,a)),domain(X1))) = compose(compose(h,compose(h,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_988,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),domain(X1))),compose(compose(h,compose(g,a)),domain(X1))),compose(compose(h,compose(g,a)),domain(X1))) = compose(compose(h,compose(g,a)),domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_989,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(h,a),codomain(X1))),compose(compose(h,compose(h,a)),codomain(X1))),compose(compose(h,compose(h,a)),codomain(X1))) = compose(compose(h,compose(h,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_990,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(a),domain(h),compose(h,compose(compose(g,a),codomain(X1))),compose(compose(h,compose(g,a)),codomain(X1))),compose(compose(h,compose(g,a)),codomain(X1))) = compose(compose(h,compose(g,a)),codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_991,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),domain(X1))),compose(compose(g,compose(h,a)),domain(X1))),compose(compose(g,compose(h,a)),domain(X1))) = compose(compose(g,compose(h,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_234,c_0_45]),
    [final] ).

cnf(c_0_992,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(h,a),codomain(X1))),compose(compose(g,compose(h,a)),codomain(X1))),compose(compose(g,compose(h,a)),codomain(X1))) = compose(compose(g,compose(h,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_234,c_0_30]),
    [final] ).

cnf(c_0_993,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),domain(X1))),compose(compose(g,compose(g,a)),domain(X1))),compose(compose(g,compose(g,a)),domain(X1))) = compose(compose(g,compose(g,a)),domain(X1)),
    inference(spm,[status(thm)],[c_0_235,c_0_45]),
    [final] ).

cnf(c_0_994,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(a),domain(h),compose(g,compose(compose(g,a),codomain(X1))),compose(compose(g,compose(g,a)),codomain(X1))),compose(compose(g,compose(g,a)),codomain(X1))) = compose(compose(g,compose(g,a)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_235,c_0_30]),
    [final] ).

cnf(c_0_995,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(X1),g)),compose(compose(compose(h,a),domain(X1)),g)),compose(compose(compose(h,a),domain(X1)),g)) = compose(compose(compose(h,a),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_166,c_0_26]),
    [final] ).

cnf(c_0_996,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),compose(h,a))),compose(compose(X1,compose(h,a)),compose(h,a))),compose(compose(X1,compose(h,a)),compose(h,a))) = compose(compose(X1,compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_70,c_0_48]),
    [final] ).

cnf(c_0_997,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(X1),g)),compose(compose(compose(g,a),domain(X1)),g)),compose(compose(compose(g,a),domain(X1)),g)) = compose(compose(compose(g,a),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_167,c_0_26]),
    [final] ).

cnf(c_0_998,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),compose(h,a))),compose(compose(h,domain(X1)),compose(h,a))),compose(compose(h,domain(X1)),compose(h,a))) = compose(compose(h,domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_206,c_0_48]),
    [final] ).

cnf(c_0_999,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),compose(g,a))),compose(compose(h,domain(X1)),compose(g,a))),compose(compose(h,domain(X1)),compose(g,a))) = compose(compose(h,domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_206,c_0_46]),
    [final] ).

cnf(c_0_1000,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),compose(h,a))),compose(compose(g,domain(X1)),compose(h,a))),compose(compose(g,domain(X1)),compose(h,a))) = compose(compose(g,domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_207,c_0_48]),
    [final] ).

cnf(c_0_1001,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(a,domain(X1))),compose(compose(codomain(X2),a),domain(X1))),compose(compose(codomain(X2),a),domain(X1))) = compose(compose(codomain(X2),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_175,c_0_44]),
    [final] ).

cnf(c_0_1002,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,a),compose(g,a))),compose(compose(X1,compose(h,a)),compose(g,a))),compose(compose(X1,compose(h,a)),compose(g,a))) = compose(compose(X1,compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_70,c_0_46]),
    [final] ).

cnf(c_0_1003,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),compose(g,a))),compose(compose(g,domain(X1)),compose(g,a))),compose(compose(g,domain(X1)),compose(g,a))) = compose(compose(g,domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_207,c_0_46]),
    [final] ).

cnf(c_0_1004,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(codomain(X2),domain(a),compose(codomain(X2),compose(a,codomain(X1))),compose(compose(codomain(X2),a),codomain(X1))),compose(compose(codomain(X2),a),codomain(X1))) = compose(compose(codomain(X2),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_177,c_0_44]),
    [final] ).

cnf(c_0_1005,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(a,domain(X1))),compose(compose(domain(X2),a),domain(X1))),compose(compose(domain(X2),a),domain(X1))) = compose(compose(domain(X2),a),domain(X1)),
    inference(spm,[status(thm)],[c_0_179,c_0_45]),
    [final] ).

cnf(c_0_1006,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(X2),domain(a),compose(domain(X2),compose(a,codomain(X1))),compose(compose(domain(X2),a),codomain(X1))),compose(compose(domain(X2),a),codomain(X1))) = compose(compose(domain(X2),a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_179,c_0_30]),
    [final] ).

cnf(c_0_1007,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(codomain(X1),g)),compose(compose(compose(h,a),codomain(X1)),g)),compose(compose(compose(h,a),codomain(X1)),g)) = compose(compose(compose(h,a),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_174,c_0_26]),
    [final] ).

cnf(c_0_1008,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(codomain(X1),g)),compose(compose(compose(g,a),codomain(X1)),g)),compose(compose(compose(g,a),codomain(X1)),g)) = compose(compose(compose(g,a),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_176,c_0_26]),
    [final] ).

cnf(c_0_1009,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),compose(h,a))),compose(compose(h,codomain(X1)),compose(h,a))),compose(compose(h,codomain(X1)),compose(h,a))) = compose(compose(h,codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_209,c_0_48]),
    [final] ).

cnf(c_0_1010,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),compose(g,a))),compose(compose(h,codomain(X1)),compose(g,a))),compose(compose(h,codomain(X1)),compose(g,a))) = compose(compose(h,codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_209,c_0_46]),
    [final] ).

cnf(c_0_1011,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),compose(h,a))),compose(compose(g,codomain(X1)),compose(h,a))),compose(compose(g,codomain(X1)),compose(h,a))) = compose(compose(g,codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_210,c_0_48]),
    [final] ).

cnf(c_0_1012,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),compose(g,a))),compose(compose(g,codomain(X1)),compose(g,a))),compose(compose(g,codomain(X1)),compose(g,a))) = compose(compose(g,codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_210,c_0_46]),
    [final] ).

cnf(c_0_1013,hypothesis,
    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)))) = compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_282,c_0_51]),
    [final] ).

cnf(c_0_1014,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_283,c_0_37]),
    [final] ).

cnf(c_0_1015,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_283,c_0_51]),
    [final] ).

cnf(c_0_1016,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,compose(h,compose(a,b)))),compose(compose(compose(a,b),X1),compose(h,compose(a,b)))),compose(compose(compose(a,b),X1),compose(h,compose(a,b)))) = compose(compose(compose(a,b),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_60,c_0_37]),
    [final] ).

cnf(c_0_1017,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),X1),compose(h,compose(a,b)))),compose(compose(compose(h,compose(a,b)),X1),compose(h,compose(a,b)))) = compose(compose(compose(h,compose(a,b)),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_60,c_0_51]),
    [final] ).

cnf(c_0_1018,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,compose(h,compose(a,b)))),compose(compose(compose(h,a),X1),compose(h,compose(a,b)))),compose(compose(compose(h,a),X1),compose(h,compose(a,b)))) = compose(compose(compose(h,a),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_60,c_0_49]),
    [final] ).

cnf(c_0_1019,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,compose(h,compose(a,b)))),compose(compose(compose(g,a),X1),compose(h,compose(a,b)))),compose(compose(compose(g,a),X1),compose(h,compose(a,b)))) = compose(compose(compose(g,a),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_60,c_0_47]),
    [final] ).

cnf(c_0_1020,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1021,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(h,domain(X1))),compose(compose(codomain(X2),h),domain(X1))),compose(compose(codomain(X2),h),domain(X1))) = compose(compose(codomain(X2),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_199,c_0_44]),
    [final] ).

cnf(c_0_1022,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(g,domain(X1))),compose(compose(codomain(X2),g),domain(X1))),compose(compose(codomain(X2),g),domain(X1))) = compose(compose(codomain(X2),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_200,c_0_44]),
    [final] ).

cnf(c_0_1023,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),compose(compose(X1,compose(h,compose(a,b))),compose(h,compose(a,b)))),compose(compose(X1,compose(h,compose(a,b))),compose(h,compose(a,b)))) = compose(compose(X1,compose(h,compose(a,b))),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_61,c_0_42]),
    [final] ).

cnf(c_0_1024,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(h,codomain(X1))),compose(compose(codomain(X2),h),codomain(X1))),compose(compose(codomain(X2),h),codomain(X1))) = compose(compose(codomain(X2),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_201,c_0_44]),
    [final] ).

cnf(c_0_1025,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(codomain(X2),domain(h),compose(codomain(X2),compose(g,codomain(X1))),compose(compose(codomain(X2),g),codomain(X1))),compose(compose(codomain(X2),g),codomain(X1))) = compose(compose(codomain(X2),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_202,c_0_44]),
    [final] ).

cnf(c_0_1026,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),compose(h,a))),compose(compose(X1,compose(h,compose(a,b))),compose(h,a))),compose(compose(X1,compose(h,compose(a,b))),compose(h,a))) = compose(compose(X1,compose(h,compose(a,b))),compose(h,a)),
    inference(spm,[status(thm)],[c_0_61,c_0_48]),
    [final] ).

cnf(c_0_1027,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(h,domain(X1))),compose(compose(domain(X2),h),domain(X1))),compose(compose(domain(X2),h),domain(X1))) = compose(compose(domain(X2),h),domain(X1)),
    inference(spm,[status(thm)],[c_0_242,c_0_45]),
    [final] ).

cnf(c_0_1028,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(h,codomain(X1))),compose(compose(domain(X2),h),codomain(X1))),compose(compose(domain(X2),h),codomain(X1))) = compose(compose(domain(X2),h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_242,c_0_30]),
    [final] ).

cnf(c_0_1029,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(compose(h,compose(a,b)),compose(g,a))),compose(compose(X1,compose(h,compose(a,b))),compose(g,a))),compose(compose(X1,compose(h,compose(a,b))),compose(g,a))) = compose(compose(X1,compose(h,compose(a,b))),compose(g,a)),
    inference(spm,[status(thm)],[c_0_61,c_0_46]),
    [final] ).

cnf(c_0_1030,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(g,domain(X1))),compose(compose(domain(X2),g),domain(X1))),compose(compose(domain(X2),g),domain(X1))) = compose(compose(domain(X2),g),domain(X1)),
    inference(spm,[status(thm)],[c_0_243,c_0_45]),
    [final] ).

cnf(c_0_1031,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(X2),domain(h),compose(domain(X2),compose(g,codomain(X1))),compose(compose(domain(X2),g),codomain(X1))),compose(compose(domain(X2),g),codomain(X1))) = compose(compose(domain(X2),g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_243,c_0_30]),
    [final] ).

cnf(c_0_1032,hypothesis,
    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)) = compose(compose(compose(h,a),compose(h,a)),g),
    inference(spm,[status(thm)],[c_0_225,c_0_49]),
    [final] ).

cnf(c_0_1033,hypothesis,
    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)) = compose(compose(compose(g,a),compose(h,a)),g),
    inference(spm,[status(thm)],[c_0_225,c_0_47]),
    [final] ).

cnf(c_0_1034,hypothesis,
    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)) = compose(compose(compose(h,a),compose(g,a)),g),
    inference(spm,[status(thm)],[c_0_226,c_0_49]),
    [final] ).

cnf(c_0_1035,hypothesis,
    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))) = compose(compose(a,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_238,c_0_48]),
    [final] ).

cnf(c_0_1036,hypothesis,
    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)) = compose(compose(compose(g,a),compose(g,a)),g),
    inference(spm,[status(thm)],[c_0_226,c_0_47]),
    [final] ).

cnf(c_0_1037,hypothesis,
    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))) = compose(compose(compose(h,a),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_49]),
    [final] ).

cnf(c_0_1038,hypothesis,
    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))) = compose(compose(compose(g,a),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_47]),
    [final] ).

cnf(c_0_1039,hypothesis,
    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))) = compose(compose(compose(h,a),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_49]),
    [final] ).

cnf(c_0_1040,hypothesis,
    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))) = compose(compose(a,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_238,c_0_46]),
    [final] ).

cnf(c_0_1041,hypothesis,
    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)) = compose(compose(compose(a,b),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_37]),
    [final] ).

cnf(c_0_1042,hypothesis,
    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))) = compose(compose(compose(g,a),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_47]),
    [final] ).

cnf(c_0_1043,hypothesis,
    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))) = compose(compose(compose(h,a),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_49]),
    [final] ).

cnf(c_0_1044,hypothesis,
    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))) = compose(compose(compose(g,a),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_47]),
    [final] ).

cnf(c_0_1045,hypothesis,
    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))) = compose(compose(compose(h,a),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_49]),
    [final] ).

cnf(c_0_1046,hypothesis,
    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)) = compose(compose(a,compose(a,b)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_1047,hypothesis,
    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))) = compose(compose(compose(g,a),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_47]),
    [final] ).

cnf(c_0_1048,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(domain(X1),b),compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_284,c_0_51]),
    [final] ).

cnf(c_0_1049,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(codomain(X1),b),compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_285,c_0_51]),
    [final] ).

cnf(c_0_1050,hypothesis,
    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))) = compose(compose(h,compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_232,c_0_48]),
    [final] ).

cnf(c_0_1051,hypothesis,
    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))) = compose(compose(h,compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_232,c_0_46]),
    [final] ).

cnf(c_0_1052,hypothesis,
    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))) = compose(compose(h,compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_233,c_0_48]),
    [final] ).

cnf(c_0_1053,hypothesis,
    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))) = compose(compose(h,compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_233,c_0_46]),
    [final] ).

cnf(c_0_1054,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_286,c_0_51]),
    [final] ).

cnf(c_0_1055,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_287,c_0_51]),
    [final] ).

cnf(c_0_1056,hypothesis,
    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))) = compose(compose(g,compose(h,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_234,c_0_48]),
    [final] ).

cnf(c_0_1057,hypothesis,
    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))) = compose(compose(g,compose(h,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_234,c_0_46]),
    [final] ).

cnf(c_0_1058,hypothesis,
    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))) = compose(compose(g,compose(g,a)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_235,c_0_48]),
    [final] ).

cnf(c_0_1059,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(domain(X1),a),compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_288,c_0_51]),
    [final] ).

cnf(c_0_1060,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(codomain(X1),a),compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_96,c_0_51]),
    [final] ).

cnf(c_0_1061,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,g)),compose(compose(compose(h,compose(a,b)),X1),g)),compose(compose(compose(h,compose(a,b)),X1),g)) = compose(compose(compose(h,compose(a,b)),X1),g),
    inference(spm,[status(thm)],[c_0_73,c_0_51]),
    [final] ).

cnf(c_0_1062,hypothesis,
    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))) = compose(compose(g,compose(g,a)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_235,c_0_46]),
    [final] ).

cnf(c_0_1063,hypothesis,
    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)))) = compose(compose(h,h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_289,c_0_42]),
    [final] ).

cnf(c_0_1064,hypothesis,
    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)) = compose(compose(h,compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_1065,hypothesis,
    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)))) = compose(compose(h,g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_291,c_0_42]),
    [final] ).

cnf(c_0_1066,hypothesis,
    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)))) = compose(compose(g,h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_292,c_0_42]),
    [final] ).

cnf(c_0_1067,hypothesis,
    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)) = compose(compose(g,compose(h,compose(a,b))),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_1068,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_294,c_0_51]),
    [final] ).

cnf(c_0_1069,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_97,c_0_51]),
    [final] ).

cnf(c_0_1070,hypothesis,
    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)))) = compose(compose(g,g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_295,c_0_42]),
    [final] ).

cnf(c_0_1071,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_51]),
    [final] ).

cnf(c_0_1072,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_51]),
    [final] ).

cnf(c_0_1073,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(domain(X1),g)),compose(compose(domain(X2),domain(X1)),g)),compose(compose(domain(X2),domain(X1)),g)) = compose(compose(domain(X2),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_161,c_0_26]),
    [final] ).

cnf(c_0_1074,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(domain(X1),g)),compose(compose(codomain(X2),domain(X1)),g)),compose(compose(codomain(X2),domain(X1)),g)) = compose(compose(codomain(X2),domain(X1)),g),
    inference(spm,[status(thm)],[c_0_162,c_0_26]),
    [final] ).

cnf(c_0_1075,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1076,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1077,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1078,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_298,c_0_51]),
    [final] ).

cnf(c_0_1079,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),domain(X2))),compose(compose(a,domain(X1)),domain(X2))),compose(compose(a,domain(X1)),domain(X2))) = compose(compose(a,domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_190,c_0_45]),
    [final] ).

cnf(c_0_1080,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),codomain(X2))),compose(compose(a,domain(X1)),codomain(X2))),compose(compose(a,domain(X1)),codomain(X2))) = compose(compose(a,domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_190,c_0_30]),
    [final] ).

cnf(c_0_1081,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),domain(X2))),compose(compose(h,domain(X1)),domain(X2))),compose(compose(h,domain(X1)),domain(X2))) = compose(compose(h,domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_206,c_0_45]),
    [final] ).

cnf(c_0_1082,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),codomain(X2))),compose(compose(h,domain(X1)),codomain(X2))),compose(compose(h,domain(X1)),codomain(X2))) = compose(compose(h,domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_206,c_0_30]),
    [final] ).

cnf(c_0_1083,hypothesis,
    ifeq(domain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),domain(X2))),compose(compose(g,domain(X1)),domain(X2))),compose(compose(g,domain(X1)),domain(X2))) = compose(compose(g,domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_207,c_0_45]),
    [final] ).

cnf(c_0_1084,hypothesis,
    ifeq(domain(X1),codomain(X2),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),codomain(X2))),compose(compose(g,domain(X1)),codomain(X2))),compose(compose(g,domain(X1)),codomain(X2))) = compose(compose(g,domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_207,c_0_30]),
    [final] ).

cnf(c_0_1085,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,compose(a,b))),compose(compose(compose(a,b),X1),compose(a,b))),compose(compose(compose(a,b),X1),compose(a,b))) = compose(compose(compose(a,b),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_62,c_0_37]),
    [final] ).

cnf(c_0_1086,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,compose(a,b))),compose(compose(compose(h,compose(a,b)),X1),compose(a,b))),compose(compose(compose(h,compose(a,b)),X1),compose(a,b))) = compose(compose(compose(h,compose(a,b)),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_62,c_0_51]),
    [final] ).

cnf(c_0_1087,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,compose(a,b))),compose(compose(compose(h,a),X1),compose(a,b))),compose(compose(compose(h,a),X1),compose(a,b))) = compose(compose(compose(h,a),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_62,c_0_49]),
    [final] ).

cnf(c_0_1088,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,compose(a,b))),compose(compose(compose(g,a),X1),compose(a,b))),compose(compose(compose(g,a),X1),compose(a,b))) = compose(compose(compose(g,a),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_62,c_0_47]),
    [final] ).

cnf(c_0_1089,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),codomain(X1),compose(domain(X2),compose(codomain(X1),g)),compose(compose(domain(X2),codomain(X1)),g)),compose(compose(domain(X2),codomain(X1)),g)) = compose(compose(domain(X2),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_170,c_0_26]),
    [final] ).

cnf(c_0_1090,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(codomain(X2),compose(codomain(X1),g)),compose(compose(codomain(X2),codomain(X1)),g)),compose(compose(codomain(X2),codomain(X1)),g)) = compose(compose(codomain(X2),codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_171,c_0_26]),
    [final] ).

cnf(c_0_1091,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),domain(X2))),compose(compose(a,codomain(X1)),domain(X2))),compose(compose(a,codomain(X1)),domain(X2))) = compose(compose(a,codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_192,c_0_45]),
    [final] ).

cnf(c_0_1092,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),codomain(X2))),compose(compose(a,codomain(X1)),codomain(X2))),compose(compose(a,codomain(X1)),codomain(X2))) = compose(compose(a,codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_192,c_0_30]),
    [final] ).

cnf(c_0_1093,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),domain(X2))),compose(compose(h,codomain(X1)),domain(X2))),compose(compose(h,codomain(X1)),domain(X2))) = compose(compose(h,codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_209,c_0_45]),
    [final] ).

cnf(c_0_1094,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),codomain(X2))),compose(compose(h,codomain(X1)),codomain(X2))),compose(compose(h,codomain(X1)),codomain(X2))) = compose(compose(h,codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_209,c_0_30]),
    [final] ).

cnf(c_0_1095,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),domain(X2))),compose(compose(g,codomain(X1)),domain(X2))),compose(compose(g,codomain(X1)),domain(X2))) = compose(compose(g,codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_210,c_0_45]),
    [final] ).

cnf(c_0_1096,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),codomain(X2))),compose(compose(g,codomain(X1)),codomain(X2))),compose(compose(g,codomain(X1)),codomain(X2))) = compose(compose(g,codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_210,c_0_30]),
    [final] ).

cnf(c_0_1097,hypothesis,
    ifeq(domain(b),codomain(compose(domain(X1),a)),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,codomain(compose(domain(X1),a)))),compose(domain(X1),a)),compose(domain(X1),a)) = compose(domain(X1),a),
    inference(spm,[status(thm)],[c_0_299,c_0_18]),
    [final] ).

cnf(c_0_1098,hypothesis,
    ifeq(domain(b),codomain(compose(codomain(X1),a)),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,codomain(compose(codomain(X1),a)))),compose(codomain(X1),a)),compose(codomain(X1),a)) = compose(codomain(X1),a),
    inference(spm,[status(thm)],[c_0_300,c_0_18]),
    [final] ).

cnf(c_0_1099,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),compose(a,b))),compose(compose(X1,compose(a,b)),compose(a,b))),compose(compose(X1,compose(a,b)),compose(a,b))) = compose(compose(X1,compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_63,c_0_43]),
    [final] ).

cnf(c_0_1100,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X1),b),compose(compose(a,b),b),domain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_252,c_0_37]),
    [final] ).

cnf(c_0_1101,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),compose(h,compose(a,b)))),compose(compose(X1,compose(a,b)),compose(h,compose(a,b)))),compose(compose(X1,compose(a,b)),compose(h,compose(a,b)))) = compose(compose(X1,compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_63,c_0_42]),
    [final] ).

cnf(c_0_1102,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X1),b),compose(compose(a,b),b),codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_253,c_0_37]),
    [final] ).

cnf(c_0_1103,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),compose(h,a))),compose(compose(X1,compose(a,b)),compose(h,a))),compose(compose(X1,compose(a,b)),compose(h,a))) = compose(compose(X1,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_63,c_0_48]),
    [final] ).

cnf(c_0_1104,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(domain(X1),b),domain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_258,c_0_29]),
    [final] ).

cnf(c_0_1105,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),compose(g,a))),compose(compose(X1,compose(a,b)),compose(g,a))),compose(compose(X1,compose(a,b)),compose(g,a))) = compose(compose(X1,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_63,c_0_46]),
    [final] ).

cnf(c_0_1106,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(codomain(X1),b),codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_258,c_0_44]),
    [final] ).

cnf(c_0_1107,hypothesis,
    ifeq(codomain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(compose(a,b),g)),compose(compose(X1,compose(a,b)),g)),compose(compose(X1,compose(a,b)),g)) = compose(compose(X1,compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_63,c_0_26]),
    [final] ).

cnf(c_0_1108,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(domain(X1),a),compose(compose(a,b),a),domain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_29]),
    [final] ).

cnf(c_0_1109,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(codomain(X1),a),compose(compose(a,b),a),codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_44]),
    [final] ).

cnf(c_0_1110,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(domain(X1),a),domain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_29]),
    [final] ).

cnf(c_0_1111,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(codomain(X1),a),codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_44]),
    [final] ).

cnf(c_0_1112,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(h,a))),compose(compose(domain(X1),h),compose(h,a))),compose(compose(domain(X1),h),compose(h,a))) = compose(compose(domain(X1),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_29]),
    [final] ).

cnf(c_0_1113,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(h,a))),compose(compose(codomain(X1),h),compose(h,a))),compose(compose(codomain(X1),h),compose(h,a))) = compose(compose(codomain(X1),h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_227,c_0_44]),
    [final] ).

cnf(c_0_1114,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(g,a))),compose(compose(domain(X1),h),compose(g,a))),compose(compose(domain(X1),h),compose(g,a))) = compose(compose(domain(X1),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_29]),
    [final] ).

cnf(c_0_1115,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(g,a))),compose(compose(codomain(X1),h),compose(g,a))),compose(compose(codomain(X1),h),compose(g,a))) = compose(compose(codomain(X1),h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_228,c_0_44]),
    [final] ).

cnf(c_0_1116,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,compose(h,a))),compose(compose(domain(X1),g),compose(h,a))),compose(compose(domain(X1),g),compose(h,a))) = compose(compose(domain(X1),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_29]),
    [final] ).

cnf(c_0_1117,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,compose(h,a))),compose(compose(codomain(X1),g),compose(h,a))),compose(compose(codomain(X1),g),compose(h,a))) = compose(compose(codomain(X1),g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_229,c_0_44]),
    [final] ).

cnf(c_0_1118,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,compose(g,a))),compose(compose(domain(X1),g),compose(g,a))),compose(compose(domain(X1),g),compose(g,a))) = compose(compose(domain(X1),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_29]),
    [final] ).

cnf(c_0_1119,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1120,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,compose(g,a))),compose(compose(codomain(X1),g),compose(g,a))),compose(compose(codomain(X1),g),compose(g,a))) = compose(compose(codomain(X1),g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_230,c_0_44]),
    [final] ).

cnf(c_0_1121,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(h,a),g)),compose(compose(codomain(X1),compose(h,a)),g)),compose(compose(codomain(X1),compose(h,a)),g)) = compose(compose(codomain(X1),compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1122,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),domain(a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_301,c_0_51]),
    [final] ).

cnf(c_0_1123,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(compose(g,a),g)),compose(compose(codomain(X1),compose(g,a)),g)),compose(compose(codomain(X1),compose(g,a)),g)) = compose(compose(codomain(X1),compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1124,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(h,a),g)),compose(compose(domain(X1),compose(h,a)),g)),compose(compose(domain(X1),compose(h,a)),g)) = compose(compose(domain(X1),compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1125,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(compose(g,a),g)),compose(compose(domain(X1),compose(g,a)),g)),compose(compose(domain(X1),compose(g,a)),g)) = compose(compose(domain(X1),compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1126,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_84]),c_0_36]),c_0_37]),c_0_29]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1127,hypothesis,
    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))) = compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1128,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,compose(a,b))),compose(compose(codomain(X2),X1),compose(a,b))),compose(compose(codomain(X2),X1),compose(a,b))) = compose(compose(codomain(X2),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_64,c_0_43]),
    [final] ).

cnf(c_0_1129,hypothesis,
    ifeq(domain(X1),codomain(compose(a,domain(X1))),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),codomain(compose(a,domain(X1))))),compose(a,domain(X1))),compose(a,domain(X1))) = compose(a,domain(X1)),
    inference(spm,[status(thm)],[c_0_217,c_0_18]),
    [final] ).

cnf(c_0_1130,hypothesis,
    ifeq(codomain(X1),codomain(compose(a,codomain(X1))),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),codomain(compose(a,codomain(X1))))),compose(a,codomain(X1))),compose(a,codomain(X1))) = compose(a,codomain(X1)),
    inference(spm,[status(thm)],[c_0_219,c_0_18]),
    [final] ).

cnf(c_0_1131,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,compose(h,compose(a,b)))),compose(compose(codomain(X2),X1),compose(h,compose(a,b)))),compose(compose(codomain(X2),X1),compose(h,compose(a,b)))) = compose(compose(codomain(X2),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_64,c_0_42]),
    [final] ).

cnf(c_0_1132,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_259,c_0_37]),
    [final] ).

cnf(c_0_1133,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,compose(h,a))),compose(compose(codomain(X2),X1),compose(h,a))),compose(compose(codomain(X2),X1),compose(h,a))) = compose(compose(codomain(X2),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_64,c_0_48]),
    [final] ).

cnf(c_0_1134,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_51]),
    [final] ).

cnf(c_0_1135,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_303,c_0_37]),
    [final] ).

cnf(c_0_1136,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_260,c_0_18]),
    [final] ).

cnf(c_0_1137,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(codomain(X2),compose(X1,compose(g,a))),compose(compose(codomain(X2),X1),compose(g,a))),compose(compose(codomain(X2),X1),compose(g,a))) = compose(compose(codomain(X2),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_64,c_0_46]),
    [final] ).

cnf(c_0_1138,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_262,c_0_18]),
    [final] ).

cnf(c_0_1139,hypothesis,
    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)))) = compose(compose(compose(a,b),domain(h)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_282,c_0_37]),
    [final] ).

cnf(c_0_1140,hypothesis,
    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)) = compose(compose(domain(compose(a,g)),a),g),
    inference(spm,[status(thm)],[c_0_304,c_0_18]),
    [final] ).

cnf(c_0_1141,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(domain(a),b),X1,domain(a),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_87,c_0_37]),
    [final] ).

cnf(c_0_1142,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1143,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_305,c_0_42]),
    [final] ).

cnf(c_0_1144,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(compose(a,b),b),X2,compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_306,c_0_37]),
    [final] ).

cnf(c_0_1145,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_51]),
    [final] ).

cnf(c_0_1146,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1147,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1148,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1149,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(compose(h,compose(a,b)),b),X2,compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_306,c_0_51]),
    [final] ).

cnf(c_0_1150,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1151,hypothesis,
    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)) = compose(compose(compose(h,compose(a,b)),compose(g,a)),b),
    inference(spm,[status(thm)],[c_0_308,c_0_51]),
    [final] ).

cnf(c_0_1152,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_298,c_0_37]),
    [final] ).

cnf(c_0_1153,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(h,compose(a,b)),X2,compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1154,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1155,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1156,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_309,c_0_51]),
    [final] ).

cnf(c_0_1157,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_310,c_0_51]),
    [final] ).

cnf(c_0_1158,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(h,compose(a,b)),X2,compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1159,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(compose(a,b),a),X2,compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_311,c_0_37]),
    [final] ).

cnf(c_0_1160,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(compose(h,compose(a,b)),a),X2,compose(h,compose(a,b)),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_311,c_0_51]),
    [final] ).

cnf(c_0_1161,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(compose(h,a),a),X2,compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_311,c_0_49]),
    [final] ).

cnf(c_0_1162,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(compose(g,a),a),X2,compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_311,c_0_47]),
    [final] ).

cnf(c_0_1163,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_312,c_0_37]),
    [final] ).

cnf(c_0_1164,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_312,c_0_51]),
    [final] ).

cnf(c_0_1165,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_313,c_0_37]),
    [final] ).

cnf(c_0_1166,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_313,c_0_51]),
    [final] ).

cnf(c_0_1167,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(a),compose(X1,compose(a,compose(a,b))),compose(compose(X1,a),compose(a,b))),compose(compose(X1,a),compose(a,b))) = compose(compose(X1,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_65,c_0_43]),
    [final] ).

cnf(c_0_1168,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(a,compose(h,compose(a,b)))),compose(compose(X1,a),compose(h,compose(a,b)))),compose(compose(X1,a),compose(h,compose(a,b)))) = compose(compose(X1,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_65,c_0_42]),
    [final] ).

cnf(c_0_1169,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(a,compose(h,a))),compose(compose(X1,a),compose(h,a))),compose(compose(X1,a),compose(h,a))) = compose(compose(X1,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_65,c_0_48]),
    [final] ).

cnf(c_0_1170,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_51]),
    [final] ).

cnf(c_0_1171,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(X1,compose(a,compose(g,a))),compose(compose(X1,a),compose(g,a))),compose(compose(X1,a),compose(g,a))) = compose(compose(X1,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_65,c_0_46]),
    [final] ).

cnf(c_0_1172,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_51]),
    [final] ).

cnf(c_0_1173,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(b),domain(a),compose(a,compose(a,domain(X1))),compose(compose(a,a),domain(X1))),compose(compose(a,a),domain(X1))) = compose(compose(a,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_238,c_0_45]),
    [final] ).

cnf(c_0_1174,hypothesis,
    ifeq(domain(b),codomain(X1),ifeq(domain(b),domain(a),compose(a,compose(a,codomain(X1))),compose(compose(a,a),codomain(X1))),compose(compose(a,a),codomain(X1))) = compose(compose(a,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_238,c_0_30]),
    [final] ).

cnf(c_0_1175,hypothesis,
    ifeq(domain(X1),codomain(compose(h,domain(X1))),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),codomain(compose(h,domain(X1))))),compose(h,domain(X1))),compose(h,domain(X1))) = compose(h,domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_1176,hypothesis,
    ifeq(codomain(X1),codomain(compose(h,codomain(X1))),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),codomain(compose(h,codomain(X1))))),compose(h,codomain(X1))),compose(h,codomain(X1))) = compose(h,codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_1177,hypothesis,
    ifeq(domain(X1),codomain(compose(g,domain(X1))),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),codomain(compose(g,domain(X1))))),compose(g,domain(X1))),compose(g,domain(X1))) = compose(g,domain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_1178,hypothesis,
    ifeq(codomain(X1),codomain(compose(g,codomain(X1))),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),codomain(compose(g,codomain(X1))))),compose(g,codomain(X1))),compose(g,codomain(X1))) = compose(g,codomain(X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_1179,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(h,compose(a,b)))),compose(compose(X1,h),compose(h,compose(a,b)))),compose(compose(X1,h),compose(h,compose(a,b)))) = compose(compose(X1,h),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_74,c_0_42]),
    [final] ).

cnf(c_0_1180,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(X1,compose(g,compose(h,compose(a,b)))),compose(compose(X1,g),compose(h,compose(a,b)))),compose(compose(X1,g),compose(h,compose(a,b)))) = compose(compose(X1,g),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_75,c_0_42]),
    [final] ).

cnf(c_0_1181,hypothesis,
    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))) = compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b)),
    inference(spm,[status(thm)],[c_0_316,c_0_49]),
    [final] ).

cnf(c_0_1182,hypothesis,
    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))) = compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b)),
    inference(spm,[status(thm)],[c_0_316,c_0_47]),
    [final] ).

cnf(c_0_1183,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1184,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1185,hypothesis,
    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))) = compose(h,compose(h,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1186,hypothesis,
    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))) = compose(h,compose(g,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1187,hypothesis,
    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))) = compose(g,compose(h,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1188,hypothesis,
    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))) = compose(g,compose(g,a)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1189,hypothesis,
    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)) = compose(compose(h,a),h),
    inference(spm,[status(thm)],[c_0_248,c_0_49]),
    [final] ).

cnf(c_0_1190,hypothesis,
    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)) = compose(compose(g,a),h),
    inference(spm,[status(thm)],[c_0_248,c_0_47]),
    [final] ).

cnf(c_0_1191,hypothesis,
    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)) = compose(compose(h,a),g),
    inference(spm,[status(thm)],[c_0_249,c_0_49]),
    [final] ).

cnf(c_0_1192,hypothesis,
    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)) = compose(compose(g,a),g),
    inference(spm,[status(thm)],[c_0_249,c_0_47]),
    [final] ).

cnf(c_0_1193,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(X1,domain(X2))),compose(compose(codomain(X3),X1),domain(X2))),compose(compose(codomain(X3),X1),domain(X2))) = compose(compose(codomain(X3),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_44]),
    [final] ).

cnf(c_0_1194,hypothesis,
    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)) = compose(compose(compose(h,a),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_49]),
    [final] ).

cnf(c_0_1195,hypothesis,
    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)) = compose(compose(compose(g,a),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_47]),
    [final] ).

cnf(c_0_1196,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,domain(X2))),compose(compose(compose(a,b),X1),domain(X2))),compose(compose(compose(a,b),X1),domain(X2))) = compose(compose(compose(a,b),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_37]),
    [final] ).

cnf(c_0_1197,hypothesis,
    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)))) = compose(compose(a,b),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_85]),c_0_37]),c_0_29]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1198,hypothesis,
    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)))) = compose(compose(a,b),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1199,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,domain(X2))),compose(compose(compose(h,compose(a,b)),X1),domain(X2))),compose(compose(compose(h,compose(a,b)),X1),domain(X2))) = compose(compose(compose(h,compose(a,b)),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_51]),
    [final] ).

cnf(c_0_1200,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_84]),c_0_36]),c_0_37]),c_0_29]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1201,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,domain(X2))),compose(compose(compose(h,a),X1),domain(X2))),compose(compose(compose(h,a),X1),domain(X2))) = compose(compose(compose(h,a),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_49]),
    [final] ).

cnf(c_0_1202,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,domain(X2))),compose(compose(compose(g,a),X1),domain(X2))),compose(compose(compose(g,a),X1),domain(X2))) = compose(compose(compose(g,a),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_66,c_0_47]),
    [final] ).

cnf(c_0_1203,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_267,c_0_37]),
    [final] ).

cnf(c_0_1204,hypothesis,
    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)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_268,c_0_37]),
    [final] ).

cnf(c_0_1205,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),X3,ifeq(compose(codomain(X1),b),X3,codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_312,c_0_44]),
    [final] ).

cnf(c_0_1206,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),X3,ifeq(compose(codomain(X1),a),X3,codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_313,c_0_44]),
    [final] ).

cnf(c_0_1207,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(X3),domain(X1),compose(codomain(X3),compose(X1,codomain(X2))),compose(compose(codomain(X3),X1),codomain(X2))),compose(compose(codomain(X3),X1),codomain(X2))) = compose(compose(codomain(X3),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_44]),
    [final] ).

cnf(c_0_1208,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(X1,codomain(X2))),compose(compose(compose(a,b),X1),codomain(X2))),compose(compose(compose(a,b),X1),codomain(X2))) = compose(compose(compose(a,b),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_37]),
    [final] ).

cnf(c_0_1209,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(X1,codomain(X2))),compose(compose(compose(h,compose(a,b)),X1),codomain(X2))),compose(compose(compose(h,compose(a,b)),X1),codomain(X2))) = compose(compose(compose(h,compose(a,b)),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_51]),
    [final] ).

cnf(c_0_1210,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),compose(h,compose(a,b))),codomain(b))) = compose(compose(codomain(X1),compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1211,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(compose(h,a),compose(X1,codomain(X2))),compose(compose(compose(h,a),X1),codomain(X2))),compose(compose(compose(h,a),X1),codomain(X2))) = compose(compose(compose(h,a),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_49]),
    [final] ).

cnf(c_0_1212,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(b),domain(X1),compose(compose(g,a),compose(X1,codomain(X2))),compose(compose(compose(g,a),X1),codomain(X2))),compose(compose(compose(g,a),X1),codomain(X2))) = compose(compose(compose(g,a),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_67,c_0_47]),
    [final] ).

cnf(c_0_1213,hypothesis,
    ifeq(domain(b),domain(h),ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,g)),compose(compose(domain(X1),a),g)),compose(compose(domain(X1),a),g)) = compose(compose(domain(X1),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_29]),
    [final] ).

cnf(c_0_1214,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(a,b),b),compose(domain(X1),b),compose(a,b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_284,c_0_37]),
    [final] ).

cnf(c_0_1215,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(a,b),b),compose(codomain(X1),b),compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_285,c_0_37]),
    [final] ).

cnf(c_0_1216,hypothesis,
    ifeq(domain(b),domain(h),ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,g)),compose(compose(codomain(X1),a),g)),compose(compose(codomain(X1),a),g)) = compose(compose(codomain(X1),a),g),
    inference(spm,[status(thm)],[c_0_264,c_0_44]),
    [final] ).

cnf(c_0_1217,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(h,domain(X1))),compose(compose(a,h),domain(X1))),compose(compose(a,h),domain(X1))) = compose(compose(a,h),domain(X1)),
    inference(spm,[status(thm)],[c_0_270,c_0_45]),
    [final] ).

cnf(c_0_1218,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(a,compose(h,codomain(X1))),compose(compose(a,h),codomain(X1))),compose(compose(a,h),codomain(X1))) = compose(compose(a,h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_270,c_0_30]),
    [final] ).

cnf(c_0_1219,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(compose(a,b),b),compose(a,b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_286,c_0_37]),
    [final] ).

cnf(c_0_1220,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(compose(a,b),b),compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_287,c_0_37]),
    [final] ).

cnf(c_0_1221,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(domain(X1),g)),compose(compose(a,domain(X1)),g)),compose(compose(a,domain(X1)),g)) = compose(compose(a,domain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_1222,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),codomain(X1),compose(a,compose(codomain(X1),g)),compose(compose(a,codomain(X1)),g)),compose(compose(a,codomain(X1)),g)) = compose(compose(a,codomain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_1223,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(b),domain(h),compose(a,compose(g,domain(X1))),compose(compose(a,g),domain(X1))),compose(compose(a,g),domain(X1))) = compose(compose(a,g),domain(X1)),
    inference(spm,[status(thm)],[c_0_272,c_0_45]),
    [final] ).

cnf(c_0_1224,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(b),domain(h),compose(a,compose(g,codomain(X1))),compose(compose(a,g),codomain(X1))),compose(compose(a,g),codomain(X1))) = compose(compose(a,g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_272,c_0_30]),
    [final] ).

cnf(c_0_1225,plain,
    ifeq(codomain(X1),domain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(X1,domain(X2))),compose(compose(domain(X3),X1),domain(X2))),compose(compose(domain(X3),X1),domain(X2))) = compose(compose(domain(X3),X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_71,c_0_45]),
    [final] ).

cnf(c_0_1226,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(a,b),a),compose(domain(X1),a),compose(a,b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_288,c_0_37]),
    [final] ).

cnf(c_0_1227,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(a,b),a),compose(codomain(X1),a),compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_96,c_0_37]),
    [final] ).

cnf(c_0_1228,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(X3),domain(X1),compose(domain(X3),compose(X1,codomain(X2))),compose(compose(domain(X3),X1),codomain(X2))),compose(compose(domain(X3),X1),codomain(X2))) = compose(compose(domain(X3),X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_71,c_0_30]),
    [final] ).

cnf(c_0_1229,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(compose(a,b),a),compose(a,b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_294,c_0_37]),
    [final] ).

cnf(c_0_1230,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(compose(a,b),a),compose(a,b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_97,c_0_37]),
    [final] ).

cnf(c_0_1231,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,compose(a,b))),compose(compose(domain(X2),X1),compose(a,b))),compose(compose(domain(X2),X1),compose(a,b))) = compose(compose(domain(X2),X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_71,c_0_43]),
    [final] ).

cnf(c_0_1232,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,compose(h,compose(a,b)))),compose(compose(domain(X2),X1),compose(h,compose(a,b)))),compose(compose(domain(X2),X1),compose(h,compose(a,b)))) = compose(compose(domain(X2),X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_71,c_0_42]),
    [final] ).

cnf(c_0_1233,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,compose(h,a))),compose(compose(domain(X2),X1),compose(h,a))),compose(compose(domain(X2),X1),compose(h,a))) = compose(compose(domain(X2),X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_71,c_0_48]),
    [final] ).

cnf(c_0_1234,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(X2),domain(X1),compose(domain(X2),compose(X1,compose(g,a))),compose(compose(domain(X2),X1),compose(g,a))),compose(compose(domain(X2),X1),compose(g,a))) = compose(compose(domain(X2),X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_71,c_0_46]),
    [final] ).

cnf(c_0_1235,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),compose(h,compose(a,b))),codomain(b))) = compose(compose(domain(X1),compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1236,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(domain(X1),b),compose(h,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1237,hypothesis,
    ifeq(domain(a),codomain(compose(domain(X1),h)),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,codomain(compose(domain(X1),h)))),compose(domain(X1),h)),compose(domain(X1),h)) = compose(domain(X1),h),
    inference(spm,[status(thm)],[c_0_248,c_0_29]),
    [final] ).

cnf(c_0_1238,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(codomain(X1),b),compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1239,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(b),domain(X1),compose(a,compose(X1,compose(a,b))),compose(compose(a,X1),compose(a,b))),compose(compose(a,X1),compose(a,b))) = compose(compose(a,X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_72,c_0_43]),
    [final] ).

cnf(c_0_1240,hypothesis,
    ifeq(domain(a),codomain(compose(codomain(X1),h)),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,codomain(compose(codomain(X1),h)))),compose(codomain(X1),h)),compose(codomain(X1),h)) = compose(codomain(X1),h),
    inference(spm,[status(thm)],[c_0_248,c_0_44]),
    [final] ).

cnf(c_0_1241,hypothesis,
    ifeq(domain(a),codomain(compose(domain(X1),g)),ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,codomain(compose(domain(X1),g)))),compose(domain(X1),g)),compose(domain(X1),g)) = compose(domain(X1),g),
    inference(spm,[status(thm)],[c_0_249,c_0_29]),
    [final] ).

cnf(c_0_1242,hypothesis,
    ifeq(domain(a),codomain(compose(codomain(X1),g)),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,codomain(compose(codomain(X1),g)))),compose(codomain(X1),g)),compose(codomain(X1),g)) = compose(codomain(X1),g),
    inference(spm,[status(thm)],[c_0_249,c_0_44]),
    [final] ).

cnf(c_0_1243,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(domain(X1),b),compose(g,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_251,c_0_29]),
    [final] ).

cnf(c_0_1244,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(codomain(X1),b),compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_251,c_0_44]),
    [final] ).

cnf(c_0_1245,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(X1,compose(h,compose(a,b)))),compose(compose(a,X1),compose(h,compose(a,b)))),compose(compose(a,X1),compose(h,compose(a,b)))) = compose(compose(a,X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_72,c_0_42]),
    [final] ).

cnf(c_0_1246,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),codomain(X1)),compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X1))) = compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_318,c_0_51]),
    [final] ).

cnf(c_0_1247,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),domain(X1)),compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X1))) = compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X1)),
    inference(spm,[status(thm)],[c_0_319,c_0_51]),
    [final] ).

cnf(c_0_1248,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(X1,compose(h,a))),compose(compose(a,X1),compose(h,a))),compose(compose(a,X1),compose(h,a))) = compose(compose(a,X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_72,c_0_48]),
    [final] ).

cnf(c_0_1249,hypothesis,
    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))) = compose(compose(a,h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_270,c_0_48]),
    [final] ).

cnf(c_0_1250,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(b),domain(X1),compose(a,compose(X1,compose(g,a))),compose(compose(a,X1),compose(g,a))),compose(compose(a,X1),compose(g,a))) = compose(compose(a,X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_72,c_0_46]),
    [final] ).

cnf(c_0_1251,hypothesis,
    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))) = compose(compose(a,h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_270,c_0_46]),
    [final] ).

cnf(c_0_1252,hypothesis,
    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)) = compose(compose(a,compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1253,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(h,compose(a,b)),compose(h,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1254,hypothesis,
    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)) = compose(compose(a,compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1255,hypothesis,
    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))) = compose(compose(a,g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_272,c_0_48]),
    [final] ).

cnf(c_0_1256,hypothesis,
    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))) = compose(compose(a,g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_272,c_0_46]),
    [final] ).

cnf(c_0_1257,hypothesis,
    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)) = compose(compose(compose(a,b),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_37]),
    [final] ).

cnf(c_0_1258,hypothesis,
    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)) = compose(compose(compose(a,b),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_37]),
    [final] ).

cnf(c_0_1259,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(h,compose(a,b)),compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1260,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(h,compose(a,b)),compose(g,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_256,c_0_29]),
    [final] ).

cnf(c_0_1261,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(h,compose(a,b)),compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_256,c_0_44]),
    [final] ).

cnf(c_0_1262,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1263,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(X1),compose(h,compose(X1,compose(a,b))),compose(compose(h,X1),compose(a,b))),compose(compose(h,X1),compose(a,b))) = compose(compose(h,X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_38,c_0_43]),
    [final] ).

cnf(c_0_1264,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_321,c_0_47]),
    [final] ).

cnf(c_0_1265,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(h,a),a),compose(domain(X1),a),compose(h,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_288,c_0_49]),
    [final] ).

cnf(c_0_1266,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(compose(g,a),a),compose(domain(X1),a),compose(g,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_288,c_0_47]),
    [final] ).

cnf(c_0_1267,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(X1,compose(h,compose(a,b)))),compose(compose(h,X1),compose(h,compose(a,b)))),compose(compose(h,X1),compose(h,compose(a,b)))) = compose(compose(h,X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_38,c_0_42]),
    [final] ).

cnf(c_0_1268,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1269,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1270,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,a),a),compose(codomain(X1),a),compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_96,c_0_49]),
    [final] ).

cnf(c_0_1271,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(g,a),a),compose(codomain(X1),a),compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_96,c_0_47]),
    [final] ).

cnf(c_0_1272,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(X1,compose(h,a))),compose(compose(h,X1),compose(h,a))),compose(compose(h,X1),compose(h,a))) = compose(compose(h,X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_38,c_0_48]),
    [final] ).

cnf(c_0_1273,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1274,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1275,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(X1,compose(g,a))),compose(compose(h,X1),compose(g,a))),compose(compose(h,X1),compose(g,a))) = compose(compose(h,X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_38,c_0_46]),
    [final] ).

cnf(c_0_1276,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1277,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1278,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(compose(h,a),a),compose(h,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_294,c_0_49]),
    [final] ).

cnf(c_0_1279,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(compose(g,a),a),compose(g,a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_294,c_0_47]),
    [final] ).

cnf(c_0_1280,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(compose(h,a),a),compose(h,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_97,c_0_49]),
    [final] ).

cnf(c_0_1281,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(compose(g,a),a),compose(g,a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_97,c_0_47]),
    [final] ).

cnf(c_0_1282,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(X1),compose(g,compose(X1,compose(a,b))),compose(compose(g,X1),compose(a,b))),compose(compose(g,X1),compose(a,b))) = compose(compose(g,X1),compose(a,b)),
    inference(spm,[status(thm)],[c_0_76,c_0_43]),
    [final] ).

cnf(c_0_1283,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(X1,compose(h,compose(a,b)))),compose(compose(g,X1),compose(h,compose(a,b)))),compose(compose(g,X1),compose(h,compose(a,b)))) = compose(compose(g,X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_76,c_0_42]),
    [final] ).

cnf(c_0_1284,hypothesis,
    ifeq(codomain(X1),domain(X2),ifeq(domain(a),domain(X1),compose(g,compose(X1,domain(X2))),compose(compose(g,X1),domain(X2))),compose(compose(g,X1),domain(X2))) = compose(compose(g,X1),domain(X2)),
    inference(spm,[status(thm)],[c_0_76,c_0_45]),
    [final] ).

cnf(c_0_1285,hypothesis,
    ifeq(codomain(X1),codomain(X2),ifeq(domain(a),domain(X1),compose(g,compose(X1,codomain(X2))),compose(compose(g,X1),codomain(X2))),compose(compose(g,X1),codomain(X2))) = compose(compose(g,X1),codomain(X2)),
    inference(spm,[status(thm)],[c_0_76,c_0_30]),
    [final] ).

cnf(c_0_1286,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(X1,compose(h,a))),compose(compose(g,X1),compose(h,a))),compose(compose(g,X1),compose(h,a))) = compose(compose(g,X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_76,c_0_48]),
    [final] ).

cnf(c_0_1287,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1288,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_37]),
    [final] ).

cnf(c_0_1289,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(X1,compose(g,a))),compose(compose(g,X1),compose(g,a))),compose(compose(g,X1),compose(g,a))) = compose(compose(g,X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_76,c_0_46]),
    [final] ).

cnf(c_0_1290,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_324,c_0_51]),
    [final] ).

cnf(c_0_1291,hypothesis,
    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)))) = compose(compose(compose(h,a),domain(h)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_282,c_0_49]),
    [final] ).

cnf(c_0_1292,hypothesis,
    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)))) = compose(compose(compose(g,a),domain(h)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_282,c_0_47]),
    [final] ).

cnf(c_0_1293,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1294,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1295,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(h,a),a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1296,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(g,a),a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1297,hypothesis,
    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)) = compose(a,a),
    inference(spm,[status(thm)],[c_0_325,c_0_18]),
    [final] ).

cnf(c_0_1298,plain,
    ifeq(domain(X1),domain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(domain(X1),domain(X2))),compose(compose(X3,domain(X1)),domain(X2))),compose(compose(X3,domain(X1)),domain(X2))) = compose(compose(X3,domain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_77,c_0_45]),
    [final] ).

cnf(c_0_1299,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),domain(h)),compose(h,compose(a,b)))) = compose(compose(codomain(X1),domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1300,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),domain(h)),compose(h,compose(a,b)))) = compose(compose(domain(X1),domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1301,plain,
    ifeq(domain(X1),codomain(X2),ifeq(codomain(X3),domain(X1),compose(X3,compose(domain(X1),codomain(X2))),compose(compose(X3,domain(X1)),codomain(X2))),compose(compose(X3,domain(X1)),codomain(X2))) = compose(compose(X3,domain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_77,c_0_30]),
    [final] ).

cnf(c_0_1302,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),compose(a,b))),compose(compose(X2,domain(X1)),compose(a,b))),compose(compose(X2,domain(X1)),compose(a,b))) = compose(compose(X2,domain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_77,c_0_43]),
    [final] ).

cnf(c_0_1303,hypothesis,
    ifeq(codomain(b),domain(a),compose(h,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_305,c_0_43]),
    [final] ).

cnf(c_0_1304,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),compose(a,b)),compose(compose(compose(h,compose(a,b)),a),b)) = compose(compose(compose(h,compose(a,b)),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_51]),
    [final] ).

cnf(c_0_1305,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),compose(h,compose(a,b)))),compose(compose(X2,domain(X1)),compose(h,compose(a,b)))),compose(compose(X2,domain(X1)),compose(h,compose(a,b)))) = compose(compose(X2,domain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_77,c_0_42]),
    [final] ).

cnf(c_0_1306,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(h,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1307,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),compose(h,a))),compose(compose(X2,domain(X1)),compose(h,a))),compose(compose(X2,domain(X1)),compose(h,a))) = compose(compose(X2,domain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_77,c_0_48]),
    [final] ).

cnf(c_0_1308,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),compose(g,a))),compose(compose(X2,domain(X1)),compose(g,a))),compose(compose(X2,domain(X1)),compose(g,a))) = compose(compose(X2,domain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_77,c_0_46]),
    [final] ).

cnf(c_0_1309,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_327,c_0_46]),
    [final] ).

cnf(c_0_1310,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1311,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(g,a),compose(b,compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1312,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(codomain(X2),domain(X1),compose(X2,compose(domain(X1),g)),compose(compose(X2,domain(X1)),g)),compose(compose(X2,domain(X1)),g)) = compose(compose(X2,domain(X1)),g),
    inference(spm,[status(thm)],[c_0_77,c_0_26]),
    [final] ).

cnf(c_0_1313,hypothesis,
    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)))) = compose(compose(h,a),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1314,hypothesis,
    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)))) = compose(compose(g,a),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1315,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),compose(a,b)),codomain(b))) = compose(compose(compose(a,b),compose(a,b)),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1316,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),domain(a)),compose(a,b))) = compose(compose(compose(a,b),domain(a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_301,c_0_37]),
    [final] ).

cnf(c_0_1317,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_49]),
    [final] ).

cnf(c_0_1318,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_47]),
    [final] ).

cnf(c_0_1319,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),compose(codomain(b),domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1320,hypothesis,
    ifeq(codomain(b),domain(X1),compose(domain(h),compose(compose(h,compose(a,b)),domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_84]),c_0_36]),c_0_37]),c_0_29]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1321,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_37]),
    [final] ).

cnf(c_0_1322,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(domain(h),compose(compose(h,compose(a,b)),codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_84]),c_0_36]),c_0_37]),c_0_29]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1323,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(h,compose(a,b)),compose(codomain(b),codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_89]),c_0_44]),c_0_36]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1324,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_37]),
    [final] ).

cnf(c_0_1325,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_328,c_0_51]),
    [final] ).

cnf(c_0_1326,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_329,c_0_51]),
    [final] ).

cnf(c_0_1327,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_330,c_0_51]),
    [final] ).

cnf(c_0_1328,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_331,c_0_51]),
    [final] ).

cnf(c_0_1329,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),compose(a,b)),codomain(b))) = compose(compose(compose(h,a),compose(a,b)),codomain(b)),
    inference(spm,[status(thm)],[c_0_332,c_0_49]),
    [final] ).

cnf(c_0_1330,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_51]),
    [final] ).

cnf(c_0_1331,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_51]),
    [final] ).

cnf(c_0_1332,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),compose(a,b)),codomain(b))) = compose(compose(compose(g,a),compose(a,b)),codomain(b)),
    inference(spm,[status(thm)],[c_0_332,c_0_47]),
    [final] ).

cnf(c_0_1333,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_51]),
    [final] ).

cnf(c_0_1334,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_51]),
    [final] ).

cnf(c_0_1335,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),domain(a)),compose(a,b))) = compose(compose(compose(h,a),domain(a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_301,c_0_49]),
    [final] ).

cnf(c_0_1336,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),domain(a)),compose(a,b))) = compose(compose(compose(g,a),domain(a)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_301,c_0_47]),
    [final] ).

cnf(c_0_1337,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(h,compose(a,b)),a),compose(compose(compose(h,compose(a,b)),a),domain(b))) = compose(compose(compose(h,compose(a,b)),a),domain(b)),
    inference(spm,[status(thm)],[c_0_337,c_0_51]),
    [final] ).

cnf(c_0_1338,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(codomain(X1),compose(h,compose(a,b)))),compose(codomain(X1),compose(h,compose(a,b)))) = compose(codomain(X1),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_90]),c_0_44]),c_0_44]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1339,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(domain(X1),compose(h,compose(a,b)))),compose(domain(X1),compose(h,compose(a,b)))) = compose(domain(X1),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_338,c_0_42]),
    [final] ).

cnf(c_0_1340,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),h),compose(a,b))) = compose(compose(compose(a,b),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_37]),
    [final] ).

cnf(c_0_1341,hypothesis,
    ifeq(codomain(b),domain(h),compose(a,compose(b,compose(h,compose(a,b)))),compose(compose(a,b),compose(h,compose(a,b)))) = compose(compose(a,b),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_339,c_0_42]),
    [final] ).

cnf(c_0_1342,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(h,a)),b)) = compose(compose(compose(a,b),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1343,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_340,c_0_48]),
    [final] ).

cnf(c_0_1344,hypothesis,
    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))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_340,c_0_46]),
    [final] ).

cnf(c_0_1345,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),compose(g,a)),b)) = compose(compose(compose(a,b),compose(g,a)),b),
    inference(spm,[status(thm)],[c_0_308,c_0_37]),
    [final] ).

cnf(c_0_1346,hypothesis,
    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)))) = compose(compose(h,a),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_93]),c_0_49]),c_0_29]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1347,hypothesis,
    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)))) = compose(compose(g,a),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1348,plain,
    ifeq(codomain(X1),domain(X2),ifeq(codomain(X3),codomain(X1),compose(X3,compose(codomain(X1),domain(X2))),compose(compose(X3,codomain(X1)),domain(X2))),compose(compose(X3,codomain(X1)),domain(X2))) = compose(compose(X3,codomain(X1)),domain(X2)),
    inference(spm,[status(thm)],[c_0_78,c_0_45]),
    [final] ).

cnf(c_0_1349,plain,
    ifeq(codomain(X1),codomain(X2),ifeq(codomain(X3),codomain(X1),compose(X3,compose(codomain(X1),codomain(X2))),compose(compose(X3,codomain(X1)),codomain(X2))),compose(compose(X3,codomain(X1)),codomain(X2))) = compose(compose(X3,codomain(X1)),codomain(X2)),
    inference(spm,[status(thm)],[c_0_78,c_0_30]),
    [final] ).

cnf(c_0_1350,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),compose(a,b))),compose(compose(X2,codomain(X1)),compose(a,b))),compose(compose(X2,codomain(X1)),compose(a,b))) = compose(compose(X2,codomain(X1)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_78,c_0_43]),
    [final] ).

cnf(c_0_1351,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),compose(h,a)),domain(b))) = compose(compose(compose(a,b),compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1352,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),compose(h,compose(a,b)))),compose(compose(X2,codomain(X1)),compose(h,compose(a,b)))),compose(compose(X2,codomain(X1)),compose(h,compose(a,b)))) = compose(compose(X2,codomain(X1)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_78,c_0_42]),
    [final] ).

cnf(c_0_1353,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_118,c_0_51]),
    [final] ).

cnf(c_0_1354,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),compose(g,a)),domain(b))) = compose(compose(compose(a,b),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1355,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),compose(h,a))),compose(compose(X2,codomain(X1)),compose(h,a))),compose(compose(X2,codomain(X1)),compose(h,a))) = compose(compose(X2,codomain(X1)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_78,c_0_48]),
    [final] ).

cnf(c_0_1356,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_117,c_0_51]),
    [final] ).

cnf(c_0_1357,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_116,c_0_51]),
    [final] ).

cnf(c_0_1358,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_115,c_0_51]),
    [final] ).

cnf(c_0_1359,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_105,c_0_51]),
    [final] ).

cnf(c_0_1360,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,compose(a,b))),codomain(b))) = compose(compose(a,compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1361,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),compose(g,a))),compose(compose(X2,codomain(X1)),compose(g,a))),compose(compose(X2,codomain(X1)),compose(g,a))) = compose(compose(X2,codomain(X1)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_78,c_0_46]),
    [final] ).

cnf(c_0_1362,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_106,c_0_51]),
    [final] ).

cnf(c_0_1363,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_107,c_0_51]),
    [final] ).

cnf(c_0_1364,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_108,c_0_51]),
    [final] ).

cnf(c_0_1365,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(codomain(X2),codomain(X1),compose(X2,compose(codomain(X1),g)),compose(compose(X2,codomain(X1)),g)),compose(compose(X2,codomain(X1)),g)) = compose(compose(X2,codomain(X1)),g),
    inference(spm,[status(thm)],[c_0_78,c_0_26]),
    [final] ).

cnf(c_0_1366,hypothesis,
    ifeq(codomain(b),domain(a),compose(domain(a),compose(compose(a,b),compose(a,b))),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_85]),c_0_37]),c_0_29]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1367,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(a,b),compose(codomain(b),compose(a,b))),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1368,hypothesis,
    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)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_51]),
    [final] ).

cnf(c_0_1369,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X1),b),compose(domain(X2),b),domain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_252,c_0_29]),
    [final] ).

cnf(c_0_1370,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(domain(X1),b),compose(codomain(X2),b),domain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_252,c_0_44]),
    [final] ).

cnf(c_0_1371,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(codomain(X1),b),compose(domain(X2),b),codomain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_253,c_0_29]),
    [final] ).

cnf(c_0_1372,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X1),b),compose(codomain(X2),b),codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_253,c_0_44]),
    [final] ).

cnf(c_0_1373,hypothesis,
    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)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_51]),
    [final] ).

cnf(c_0_1374,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),compose(domain(X1),b),domain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_286,c_0_29]),
    [final] ).

cnf(c_0_1375,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),compose(codomain(X1),b),codomain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_286,c_0_44]),
    [final] ).

cnf(c_0_1376,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),compose(domain(X1),b),domain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_287,c_0_29]),
    [final] ).

cnf(c_0_1377,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),compose(codomain(X1),b),codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_287,c_0_44]),
    [final] ).

cnf(c_0_1378,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(h,domain(X1))),compose(compose(h,h),domain(X1))),compose(compose(h,h),domain(X1))) = compose(compose(h,h),domain(X1)),
    inference(spm,[status(thm)],[c_0_289,c_0_45]),
    [final] ).

cnf(c_0_1379,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(a),domain(h),compose(h,compose(h,codomain(X1))),compose(compose(h,h),codomain(X1))),compose(compose(h,h),codomain(X1))) = compose(compose(h,h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_289,c_0_30]),
    [final] ).

cnf(c_0_1380,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(h,compose(domain(X1),g)),compose(compose(h,domain(X1)),g)),compose(compose(h,domain(X1)),g)) = compose(compose(h,domain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_1381,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(h,compose(codomain(X1),g)),compose(compose(h,codomain(X1)),g)),compose(compose(h,codomain(X1)),g)) = compose(compose(h,codomain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_1382,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(h,compose(g,domain(X1))),compose(compose(h,g),domain(X1))),compose(compose(h,g),domain(X1))) = compose(compose(h,g),domain(X1)),
    inference(spm,[status(thm)],[c_0_291,c_0_45]),
    [final] ).

cnf(c_0_1383,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(a),domain(h),compose(h,compose(g,codomain(X1))),compose(compose(h,g),codomain(X1))),compose(compose(h,g),codomain(X1))) = compose(compose(h,g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_291,c_0_30]),
    [final] ).

cnf(c_0_1384,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_49]),
    [final] ).

cnf(c_0_1385,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_47]),
    [final] ).

cnf(c_0_1386,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(h,domain(X1))),compose(compose(g,h),domain(X1))),compose(compose(g,h),domain(X1))) = compose(compose(g,h),domain(X1)),
    inference(spm,[status(thm)],[c_0_292,c_0_45]),
    [final] ).

cnf(c_0_1387,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(a),domain(h),compose(g,compose(h,codomain(X1))),compose(compose(g,h),codomain(X1))),compose(compose(g,h),codomain(X1))) = compose(compose(g,h),codomain(X1)),
    inference(spm,[status(thm)],[c_0_292,c_0_30]),
    [final] ).

cnf(c_0_1388,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X1),a),compose(domain(X2),a),domain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_288,c_0_29]),
    [final] ).

cnf(c_0_1389,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(codomain(X1),a),compose(domain(X2),a),codomain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_288,c_0_44]),
    [final] ).

cnf(c_0_1390,hypothesis,
    ifeq(domain(X1),domain(h),ifeq(domain(a),domain(X1),compose(g,compose(domain(X1),g)),compose(compose(g,domain(X1)),g)),compose(compose(g,domain(X1)),g)) = compose(compose(g,domain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_1391,hypothesis,
    ifeq(codomain(X1),domain(h),ifeq(domain(a),codomain(X1),compose(g,compose(codomain(X1),g)),compose(compose(g,codomain(X1)),g)),compose(compose(g,codomain(X1)),g)) = compose(compose(g,codomain(X1)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_1392,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(a),domain(h),compose(g,compose(g,domain(X1))),compose(compose(g,g),domain(X1))),compose(compose(g,g),domain(X1))) = compose(compose(g,g),domain(X1)),
    inference(spm,[status(thm)],[c_0_295,c_0_45]),
    [final] ).

cnf(c_0_1393,hypothesis,
    ifeq(domain(a),codomain(X1),ifeq(domain(a),domain(h),compose(g,compose(g,codomain(X1))),compose(compose(g,g),codomain(X1))),compose(compose(g,g),codomain(X1))) = compose(compose(g,g),codomain(X1)),
    inference(spm,[status(thm)],[c_0_295,c_0_30]),
    [final] ).

cnf(c_0_1394,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_49]),
    [final] ).

cnf(c_0_1395,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(domain(X1),a),compose(codomain(X2),a),domain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_96,c_0_29]),
    [final] ).

cnf(c_0_1396,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X1),a),compose(codomain(X2),a),codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_96,c_0_44]),
    [final] ).

cnf(c_0_1397,hypothesis,
    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)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_47]),
    [final] ).

cnf(c_0_1398,hypothesis,
    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)) = compose(compose(a,a),g),
    inference(spm,[status(thm)],[c_0_271,c_0_18]),
    [final] ).

cnf(c_0_1399,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),compose(domain(X1),a),domain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_294,c_0_29]),
    [final] ).

cnf(c_0_1400,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),compose(codomain(X1),a),codomain(X1),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_294,c_0_44]),
    [final] ).

cnf(c_0_1401,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),compose(domain(X1),a),domain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_97,c_0_29]),
    [final] ).

cnf(c_0_1402,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),compose(codomain(X1),a),codomain(X1),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_97,c_0_44]),
    [final] ).

cnf(c_0_1403,hypothesis,
    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))) = compose(compose(h,h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_289,c_0_48]),
    [final] ).

cnf(c_0_1404,hypothesis,
    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))) = compose(compose(h,h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_289,c_0_46]),
    [final] ).

cnf(c_0_1405,hypothesis,
    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)) = compose(compose(h,compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1406,hypothesis,
    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)) = compose(compose(h,compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1407,hypothesis,
    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))) = compose(compose(h,g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_291,c_0_48]),
    [final] ).

cnf(c_0_1408,hypothesis,
    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))) = compose(compose(h,g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_291,c_0_46]),
    [final] ).

cnf(c_0_1409,hypothesis,
    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))) = compose(compose(g,h),compose(h,a)),
    inference(spm,[status(thm)],[c_0_292,c_0_48]),
    [final] ).

cnf(c_0_1410,hypothesis,
    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))) = compose(compose(g,h),compose(g,a)),
    inference(spm,[status(thm)],[c_0_292,c_0_46]),
    [final] ).

cnf(c_0_1411,hypothesis,
    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)) = compose(compose(g,compose(h,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_1412,hypothesis,
    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)) = compose(compose(g,compose(g,a)),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_1413,hypothesis,
    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))) = compose(compose(g,g),compose(h,a)),
    inference(spm,[status(thm)],[c_0_295,c_0_48]),
    [final] ).

cnf(c_0_1414,hypothesis,
    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))) = compose(compose(g,g),compose(g,a)),
    inference(spm,[status(thm)],[c_0_295,c_0_46]),
    [final] ).

cnf(c_0_1415,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(h,a),compose(domain(b),compose(a,b))),compose(compose(h,a),compose(a,b))) = compose(compose(h,a),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1416,hypothesis,
    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)) = compose(compose(compose(h,a),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_49]),
    [final] ).

cnf(c_0_1417,hypothesis,
    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)) = compose(compose(compose(g,a),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_47]),
    [final] ).

cnf(c_0_1418,hypothesis,
    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)) = compose(compose(compose(h,a),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_49]),
    [final] ).

cnf(c_0_1419,hypothesis,
    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)) = compose(compose(compose(g,a),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_47]),
    [final] ).

cnf(c_0_1420,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(g,a),compose(domain(b),compose(a,b))),compose(compose(g,a),compose(a,b))) = compose(compose(g,a),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1421,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),domain(h)),compose(g,a))) = compose(compose(compose(a,b),domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1422,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),domain(h)),compose(h,a))) = compose(compose(compose(a,b),domain(h)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_324,c_0_37]),
    [final] ).

cnf(c_0_1423,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,domain(h)),compose(h,compose(a,b)))) = compose(compose(a,domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1424,hypothesis,
    ifeq(domain(b),domain(X1),ifeq(domain(compose(a,X1)),domain(a),compose(a,X1),compose(compose(domain(compose(a,X1)),a),X1)),compose(compose(domain(compose(a,X1)),a),X1)) = compose(compose(domain(compose(a,X1)),a),X1),
    inference(spm,[status(thm)],[c_0_80,c_0_18]),
    [final] ).

cnf(c_0_1425,hypothesis,
    ifeq(domain(a),domain(X1),ifeq(domain(compose(h,X1)),domain(h),compose(h,X1),compose(compose(domain(compose(h,X1)),h),X1)),compose(compose(domain(compose(h,X1)),h),X1)) = compose(compose(domain(compose(h,X1)),h),X1),
    inference(spm,[status(thm)],[c_0_80,c_0_22]),
    [final] ).

cnf(c_0_1426,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_328,c_0_37]),
    [final] ).

cnf(c_0_1427,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_329,c_0_37]),
    [final] ).

cnf(c_0_1428,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_330,c_0_37]),
    [final] ).

cnf(c_0_1429,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_331,c_0_37]),
    [final] ).

cnf(c_0_1430,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_37]),
    [final] ).

cnf(c_0_1431,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_37]),
    [final] ).

cnf(c_0_1432,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_37]),
    [final] ).

cnf(c_0_1433,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_37]),
    [final] ).

cnf(c_0_1434,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_343,c_0_51]),
    [final] ).

cnf(c_0_1435,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_344,c_0_51]),
    [final] ).

cnf(c_0_1436,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_345,c_0_51]),
    [final] ).

cnf(c_0_1437,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_346,c_0_51]),
    [final] ).

cnf(c_0_1438,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_51]),
    [final] ).

cnf(c_0_1439,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_51]),
    [final] ).

cnf(c_0_1440,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_51]),
    [final] ).

cnf(c_0_1441,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_51]),
    [final] ).

cnf(c_0_1442,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(b),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_29]),
    [final] ).

cnf(c_0_1443,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(domain(b),a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_44]),
    [final] ).

cnf(c_0_1444,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),X1),compose(compose(compose(h,compose(a,b)),X1),codomain(X1))) = compose(compose(compose(h,compose(a,b)),X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_51]),
    [final] ).

cnf(c_0_1445,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,compose(a,b)),X1),compose(compose(compose(h,compose(a,b)),domain(X1)),X1)) = compose(compose(compose(h,compose(a,b)),domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_51]),
    [final] ).

cnf(c_0_1446,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(a,b),compose(domain(X1),b),a,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_259,c_0_29]),
    [final] ).

cnf(c_0_1447,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(a,b),compose(codomain(X1),b),a,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_259,c_0_44]),
    [final] ).

cnf(c_0_1448,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(a,b),a,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_303,c_0_29]),
    [final] ).

cnf(c_0_1449,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(a,b),a,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_303,c_0_44]),
    [final] ).

cnf(c_0_1450,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,g)),compose(compose(domain(X1),h),g)),compose(compose(domain(X1),h),g)) = compose(compose(domain(X1),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_29]),
    [final] ).

cnf(c_0_1451,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(domain(a),b),compose(compose(a,b),b),domain(a),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_309,c_0_37]),
    [final] ).

cnf(c_0_1452,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(domain(a),b),domain(a),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_310,c_0_37]),
    [final] ).

cnf(c_0_1453,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_113,c_0_51]),
    [final] ).

cnf(c_0_1454,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,g)),compose(compose(codomain(X1),h),g)),compose(compose(codomain(X1),h),g)) = compose(compose(codomain(X1),h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_44]),
    [final] ).

cnf(c_0_1455,hypothesis,
    ifeq(domain(a),domain(h),ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,g)),compose(compose(domain(X1),g),g)),compose(compose(domain(X1),g),g)) = compose(compose(domain(X1),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_29]),
    [final] ).

cnf(c_0_1456,hypothesis,
    ifeq(domain(a),domain(h),ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,g)),compose(compose(codomain(X1),g),g)),compose(compose(codomain(X1),g),g)) = compose(compose(codomain(X1),g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_44]),
    [final] ).

cnf(c_0_1457,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(a,a),compose(domain(X1),a),a,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_288,c_0_18]),
    [final] ).

cnf(c_0_1458,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(a,a),compose(codomain(X1),a),a,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_96,c_0_18]),
    [final] ).

cnf(c_0_1459,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_114,c_0_51]),
    [final] ).

cnf(c_0_1460,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(a,a),a,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_294,c_0_18]),
    [final] ).

cnf(c_0_1461,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),compose(a,a),a,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_97,c_0_18]),
    [final] ).

cnf(c_0_1462,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,compose(a,b))),compose(compose(compose(a,b),g),compose(a,b))) = compose(compose(compose(a,b),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_37]),
    [final] ).

cnf(c_0_1463,hypothesis,
    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))) = compose(compose(compose(h,compose(a,b)),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_51]),
    [final] ).

cnf(c_0_1464,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),compose(g,a))),compose(compose(a,b),compose(g,a))) = compose(compose(a,b),compose(g,a)),
    inference(spm,[status(thm)],[c_0_354,c_0_46]),
    [final] ).

cnf(c_0_1465,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X1),a),a,domain(X1),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_29]),
    [final] ).

cnf(c_0_1466,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X1),a),a,codomain(X1),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_44]),
    [final] ).

cnf(c_0_1467,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),compose(h,a))),compose(compose(a,b),compose(h,a))) = compose(compose(a,b),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1468,hypothesis,
    ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_305,c_0_48]),
    [final] ).

cnf(c_0_1469,hypothesis,
    ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_305,c_0_46]),
    [final] ).

cnf(c_0_1470,hypothesis,
    ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),compose(h,a))),compose(compose(a,b),compose(h,a))) = compose(compose(a,b),compose(h,a)),
    inference(spm,[status(thm)],[c_0_355,c_0_48]),
    [final] ).

cnf(c_0_1471,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(domain(X1),a),domain(X1),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_29]),
    [final] ).

cnf(c_0_1472,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(codomain(X1),a),codomain(X1),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_44]),
    [final] ).

cnf(c_0_1473,hypothesis,
    ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),compose(g,a))),compose(compose(a,b),compose(g,a))) = compose(compose(a,b),compose(g,a)),
    inference(spm,[status(thm)],[c_0_355,c_0_46]),
    [final] ).

cnf(c_0_1474,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),h),compose(a,b))) = compose(compose(compose(h,a),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_49]),
    [final] ).

cnf(c_0_1475,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),h),compose(a,b))) = compose(compose(compose(g,a),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_47]),
    [final] ).

cnf(c_0_1476,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(h,a)),b)) = compose(compose(compose(g,a),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1477,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(h,a)),b)) = compose(compose(compose(h,a),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1478,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1479,hypothesis,
    ifeq(domain(b),codomain(compose(X1,a)),ifeq(codomain(X1),domain(a),compose(X1,compose(a,codomain(compose(X1,a)))),compose(X1,a)),compose(X1,a)) = compose(X1,a),
    inference(spm,[status(thm)],[c_0_81,c_0_18]),
    [final] ).

cnf(c_0_1480,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1481,hypothesis,
    ifeq(domain(b),domain(h),compose(h,compose(a,compose(h,compose(a,b)))),compose(compose(h,a),compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_52,c_0_42]),
    [final] ).

cnf(c_0_1482,hypothesis,
    ifeq(domain(b),domain(h),compose(g,compose(a,compose(h,compose(a,b)))),compose(compose(g,a),compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_358,c_0_42]),
    [final] ).

cnf(c_0_1483,hypothesis,
    ifeq(domain(b),domain(a),compose(domain(h),compose(compose(h,a),compose(a,b))),compose(compose(h,a),compose(a,b))) = compose(compose(h,a),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_93]),c_0_49]),c_0_29]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1484,hypothesis,
    ifeq(codomain(b),domain(X1),compose(h,compose(compose(a,b),domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_305,c_0_45]),
    [final] ).

cnf(c_0_1485,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(h,compose(compose(a,b),codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_305,c_0_30]),
    [final] ).

cnf(c_0_1486,hypothesis,
    ifeq(domain(b),domain(a),compose(domain(h),compose(compose(g,a),compose(a,b))),compose(compose(g,a),compose(a,b))) = compose(compose(g,a),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1487,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(h,a)),compose(compose(compose(h,compose(a,b)),h),a)) = compose(compose(compose(h,compose(a,b)),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_51]),
    [final] ).

cnf(c_0_1488,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))) = compose(a,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_360,c_0_42]),
    [final] ).

cnf(c_0_1489,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,a),compose(b,domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1490,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(h,a),compose(b,codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1491,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(h,compose(a,b)))),compose(a,compose(h,compose(a,b)))) = compose(a,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_361,c_0_42]),
    [final] ).

cnf(c_0_1492,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(g,a)),compose(compose(compose(h,compose(a,b)),g),a)) = compose(compose(compose(h,compose(a,b)),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_51]),
    [final] ).

cnf(c_0_1493,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_363,c_0_48]),
    [final] ).

cnf(c_0_1494,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_363,c_0_46]),
    [final] ).

cnf(c_0_1495,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),compose(g,a)),b)) = compose(compose(compose(h,a),compose(g,a)),b),
    inference(spm,[status(thm)],[c_0_308,c_0_49]),
    [final] ).

cnf(c_0_1496,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(g,a),compose(b,domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1497,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),compose(g,a)),b)) = compose(compose(compose(g,a),compose(g,a)),b),
    inference(spm,[status(thm)],[c_0_308,c_0_47]),
    [final] ).

cnf(c_0_1498,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,compose(a,b))),compose(compose(compose(h,a),g),compose(a,b))) = compose(compose(compose(h,a),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_49]),
    [final] ).

cnf(c_0_1499,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,compose(a,b))),compose(compose(compose(g,a),g),compose(a,b))) = compose(compose(compose(g,a),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_47]),
    [final] ).

cnf(c_0_1500,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(g,a),compose(b,codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1501,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),h),compose(a,b))) = compose(compose(domain(X1),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_29]),
    [final] ).

cnf(c_0_1502,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),h),compose(a,b))) = compose(compose(codomain(X1),h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_44]),
    [final] ).

cnf(c_0_1503,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),compose(h,a)),b)) = compose(compose(codomain(X1),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1504,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),compose(h,a)),b)) = compose(compose(domain(X1),compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1505,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(domain(a),b),X2,domain(a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_87,c_0_29]),
    [final] ).

cnf(c_0_1506,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(domain(a),b),X2,domain(a),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_87,c_0_44]),
    [final] ).

cnf(c_0_1507,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),compose(g,a)),b)) = compose(compose(codomain(X1),compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1508,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),compose(g,a)),b)) = compose(compose(domain(X1),compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1509,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,compose(a,b))),compose(compose(domain(X1),g),compose(a,b))) = compose(compose(domain(X1),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_29]),
    [final] ).

cnf(c_0_1510,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,compose(a,b))),compose(compose(codomain(X1),g),compose(a,b))) = compose(compose(codomain(X1),g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_44]),
    [final] ).

cnf(c_0_1511,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(codomain(X1),compose(h,compose(a,b)))),compose(X1,compose(h,compose(a,b)))) = compose(X1,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_104,c_0_42]),
    [final] ).

cnf(c_0_1512,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),compose(g,a)),domain(b))) = compose(compose(compose(g,a),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1513,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),compose(h,a)),domain(b))) = compose(compose(compose(g,a),compose(h,a)),domain(b)),
    inference(spm,[status(thm)],[c_0_364,c_0_47]),
    [final] ).

cnf(c_0_1514,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),compose(h,a)),domain(b))) = compose(compose(compose(h,a),compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1515,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),compose(g,a)),domain(b))) = compose(compose(compose(h,a),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1516,hypothesis,
    ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,b)),compose(compose(codomain(X1),domain(a)),compose(a,b))) = compose(compose(codomain(X1),domain(a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_85]),c_0_29]),c_0_16]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1517,hypothesis,
    ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,b)),compose(compose(codomain(X1),compose(a,b)),codomain(b))) = compose(compose(codomain(X1),compose(a,b)),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1518,hypothesis,
    ifeq(codomain(X1),domain(h),compose(domain(X1),compose(X1,compose(h,compose(a,b)))),compose(X1,compose(h,compose(a,b)))) = compose(X1,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_98,c_0_42]),
    [final] ).

cnf(c_0_1519,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,compose(a,b))),codomain(b))) = compose(compose(h,compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1520,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,compose(a,b))),codomain(b))) = compose(compose(g,compose(h,compose(a,b))),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_89]),c_0_36]),c_0_37]),c_0_30]),c_0_42]),c_0_19]),
    [final] ).

cnf(c_0_1521,hypothesis,
    ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,b)),compose(compose(domain(X1),domain(a)),compose(a,b))) = compose(compose(domain(X1),domain(a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_85]),c_0_29]),c_0_16]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1522,hypothesis,
    ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,b)),compose(compose(domain(X1),compose(a,b)),codomain(b))) = compose(compose(domain(X1),compose(a,b)),codomain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1523,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),h),compose(compose(compose(h,compose(a,b)),h),domain(a))) = compose(compose(compose(h,compose(a,b)),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_51]),
    [final] ).

cnf(c_0_1524,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),g),domain(a))) = compose(compose(compose(h,compose(a,b)),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_51]),
    [final] ).

cnf(c_0_1525,hypothesis,
    ifeq(codomain(b),domain(X1),compose(g,compose(compose(a,b),domain(X1))),compose(compose(h,compose(a,b)),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)),
    inference(spm,[status(thm)],[c_0_367,c_0_45]),
    [final] ).

cnf(c_0_1526,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(g,compose(compose(a,b),codomain(X1))),compose(compose(h,compose(a,b)),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_367,c_0_30]),
    [final] ).

cnf(c_0_1527,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),X1,ifeq(compose(a,a),X1,a,domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_302,c_0_18]),
    [final] ).

cnf(c_0_1528,hypothesis,
    ifeq(codomain(b),domain(a),compose(g,compose(compose(a,b),compose(a,b))),compose(compose(h,compose(a,b)),compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,b)),
    inference(spm,[status(thm)],[c_0_367,c_0_43]),
    [final] ).

cnf(c_0_1529,hypothesis,
    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)))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_367,c_0_42]),
    [final] ).

cnf(c_0_1530,hypothesis,
    ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),compose(h,a))),compose(compose(h,compose(a,b)),compose(h,a))) = compose(compose(h,compose(a,b)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_367,c_0_48]),
    [final] ).

cnf(c_0_1531,hypothesis,
    ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),compose(g,a))),compose(compose(h,compose(a,b)),compose(g,a))) = compose(compose(h,compose(a,b)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_367,c_0_46]),
    [final] ).

cnf(c_0_1532,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(b,compose(domain(X1),b),domain(b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_267,c_0_29]),
    [final] ).

cnf(c_0_1533,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(b,compose(codomain(X1),b),domain(b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_267,c_0_44]),
    [final] ).

cnf(c_0_1534,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_368,c_0_37]),
    [final] ).

cnf(c_0_1535,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),b,domain(b),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_268,c_0_29]),
    [final] ).

cnf(c_0_1536,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),b,domain(b),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_268,c_0_44]),
    [final] ).

cnf(c_0_1537,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_368,c_0_51]),
    [final] ).

cnf(c_0_1538,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),g),g),g),g) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1539,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,a)),compose(compose(codomain(X1),compose(h,a)),domain(b))) = compose(compose(codomain(X1),compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1540,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,a)),compose(compose(codomain(X1),compose(g,a)),domain(b))) = compose(compose(codomain(X1),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1541,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_368,c_0_44]),
    [final] ).

cnf(c_0_1542,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,a)),compose(compose(domain(X1),compose(h,a)),domain(b))) = compose(compose(domain(X1),compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1543,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,a)),compose(compose(domain(X1),compose(g,a)),domain(b))) = compose(compose(domain(X1),compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1544,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),g),g),g),g) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1545,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_369,c_0_44]),
    [final] ).

cnf(c_0_1546,hypothesis,
    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)) = compose(a,h),
    inference(spm,[status(thm)],[c_0_248,c_0_18]),
    [final] ).

cnf(c_0_1547,hypothesis,
    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)) = compose(a,g),
    inference(spm,[status(thm)],[c_0_249,c_0_18]),
    [final] ).

cnf(c_0_1548,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_369,c_0_37]),
    [final] ).

cnf(c_0_1549,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_369,c_0_51]),
    [final] ).

cnf(c_0_1550,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_369,c_0_49]),
    [final] ).

cnf(c_0_1551,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_47]),
    [final] ).

cnf(c_0_1552,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_49]),
    [final] ).

cnf(c_0_1553,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),b),b,compose(h,compose(a,b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_109,c_0_51]),
    [final] ).

cnf(c_0_1554,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(b,compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_110,c_0_51]),
    [final] ).

cnf(c_0_1555,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_369,c_0_47]),
    [final] ).

cnf(c_0_1556,hypothesis,
    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)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_47]),
    [final] ).

cnf(c_0_1557,hypothesis,
    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)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_49]),
    [final] ).

cnf(c_0_1558,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(g,b),X1,g,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_370,c_0_37]),
    [final] ).

cnf(c_0_1559,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(g,b),X1,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_370,c_0_51]),
    [final] ).

cnf(c_0_1560,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(g,a),X1,g,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_371,c_0_37]),
    [final] ).

cnf(c_0_1561,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(g,a),X1,g,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_371,c_0_51]),
    [final] ).

cnf(c_0_1562,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_372,c_0_44]),
    [final] ).

cnf(c_0_1563,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(domain(b),a),compose(a,b),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_37]),
    [final] ).

cnf(c_0_1564,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(a,b),a),compose(a,b),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_37]),
    [final] ).

cnf(c_0_1565,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_372,c_0_37]),
    [final] ).

cnf(c_0_1566,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),a,a,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_314,c_0_18]),
    [final] ).

cnf(c_0_1567,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,compose(a,a),a,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_315,c_0_18]),
    [final] ).

cnf(c_0_1568,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_372,c_0_51]),
    [final] ).

cnf(c_0_1569,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),h),h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1570,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),h),h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1571,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_373,c_0_44]),
    [final] ).

cnf(c_0_1572,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),b),compose(h,compose(a,b)),domain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_328,c_0_29]),
    [final] ).

cnf(c_0_1573,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_373,c_0_37]),
    [final] ).

cnf(c_0_1574,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),b),compose(h,compose(a,b)),codomain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_328,c_0_44]),
    [final] ).

cnf(c_0_1575,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),b),compose(h,compose(a,b)),domain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_329,c_0_29]),
    [final] ).

cnf(c_0_1576,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),b),compose(h,compose(a,b)),codomain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_329,c_0_44]),
    [final] ).

cnf(c_0_1577,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(domain(X1),b),domain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_330,c_0_29]),
    [final] ).

cnf(c_0_1578,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(codomain(X1),b),codomain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_330,c_0_44]),
    [final] ).

cnf(c_0_1579,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(domain(X1),b),domain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_331,c_0_29]),
    [final] ).

cnf(c_0_1580,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_373,c_0_51]),
    [final] ).

cnf(c_0_1581,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),compose(codomain(X1),b),codomain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_331,c_0_44]),
    [final] ).

cnf(c_0_1582,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_373,c_0_49]),
    [final] ).

cnf(c_0_1583,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),a),compose(compose(h,a),a),domain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_29]),
    [final] ).

cnf(c_0_1584,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),a),compose(compose(h,a),a),codomain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_44]),
    [final] ).

cnf(c_0_1585,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),a),compose(compose(g,a),a),domain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_29]),
    [final] ).

cnf(c_0_1586,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_373,c_0_47]),
    [final] ).

cnf(c_0_1587,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),a),compose(compose(g,a),a),codomain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_44]),
    [final] ).

cnf(c_0_1588,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(h,b),X1,h,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_374,c_0_37]),
    [final] ).

cnf(c_0_1589,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(h,b),X1,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_374,c_0_51]),
    [final] ).

cnf(c_0_1590,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(compose(h,a),a),compose(domain(X1),a),domain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_29]),
    [final] ).

cnf(c_0_1591,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(a,b),codomain(X1)),compose(compose(compose(a,b),codomain(X1)),codomain(X1))) = compose(compose(compose(a,b),codomain(X1)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_318,c_0_37]),
    [final] ).

cnf(c_0_1592,hypothesis,
    ifeq(domain(b),codomain(X1),compose(compose(h,a),codomain(X1)),compose(compose(compose(h,a),codomain(X1)),codomain(X1))) = compose(compose(compose(h,a),codomain(X1)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_318,c_0_49]),
    [final] ).

cnf(c_0_1593,hypothesis,
    ifeq(domain(b),codomain(X1),compose(compose(g,a),codomain(X1)),compose(compose(compose(g,a),codomain(X1)),codomain(X1))) = compose(compose(compose(g,a),codomain(X1)),codomain(X1)),
    inference(spm,[status(thm)],[c_0_318,c_0_47]),
    [final] ).

cnf(c_0_1594,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(a,b),domain(X1)),compose(compose(compose(a,b),domain(X1)),domain(X1))) = compose(compose(compose(a,b),domain(X1)),domain(X1)),
    inference(spm,[status(thm)],[c_0_319,c_0_37]),
    [final] ).

cnf(c_0_1595,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(h,a),a),compose(codomain(X1),a),codomain(X1),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_44]),
    [final] ).

cnf(c_0_1596,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(h,a),X1,h,compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_375,c_0_37]),
    [final] ).

cnf(c_0_1597,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_343,c_0_37]),
    [final] ).

cnf(c_0_1598,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(compose(g,a),a),compose(domain(X1),a),domain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_29]),
    [final] ).

cnf(c_0_1599,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(h,a),domain(X1)),compose(compose(compose(h,a),domain(X1)),domain(X1))) = compose(compose(compose(h,a),domain(X1)),domain(X1)),
    inference(spm,[status(thm)],[c_0_319,c_0_49]),
    [final] ).

cnf(c_0_1600,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(g,a),domain(X1)),compose(compose(compose(g,a),domain(X1)),domain(X1))) = compose(compose(compose(g,a),domain(X1)),domain(X1)),
    inference(spm,[status(thm)],[c_0_319,c_0_47]),
    [final] ).

cnf(c_0_1601,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(a,b),compose(a,b)),compose(compose(compose(a,b),a),b)) = compose(compose(compose(a,b),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_37]),
    [final] ).

cnf(c_0_1602,hypothesis,
    ifeq(codomain(b),domain(a),compose(a,compose(b,compose(a,b))),compose(compose(a,b),compose(a,b))) = compose(compose(a,b),compose(a,b)),
    inference(spm,[status(thm)],[c_0_339,c_0_43]),
    [final] ).

cnf(c_0_1603,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(g,a),a),compose(codomain(X1),a),codomain(X1),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_44]),
    [final] ).

cnf(c_0_1604,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(h,a),X1,h,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_375,c_0_51]),
    [final] ).

cnf(c_0_1605,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_344,c_0_37]),
    [final] ).

cnf(c_0_1606,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_345,c_0_37]),
    [final] ).

cnf(c_0_1607,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_346,c_0_37]),
    [final] ).

cnf(c_0_1608,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_37]),
    [final] ).

cnf(c_0_1609,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_37]),
    [final] ).

cnf(c_0_1610,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_37]),
    [final] ).

cnf(c_0_1611,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_37]),
    [final] ).

cnf(c_0_1612,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),b),X3,ifeq(compose(domain(X1),b),X3,domain(X1),codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_50,c_0_44]),
    [final] ).

cnf(c_0_1613,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),domain(h)),compose(g,a))) = compose(compose(compose(h,a),domain(h)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_376,c_0_49]),
    [final] ).

cnf(c_0_1614,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),domain(h)),compose(g,a))) = compose(compose(compose(g,a),domain(h)),compose(g,a)),
    inference(spm,[status(thm)],[c_0_376,c_0_47]),
    [final] ).

cnf(c_0_1615,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_50,c_0_37]),
    [final] ).

cnf(c_0_1616,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),domain(h)),compose(h,a))) = compose(compose(compose(h,a),domain(h)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_324,c_0_49]),
    [final] ).

cnf(c_0_1617,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),domain(h)),compose(h,a))) = compose(compose(compose(g,a),domain(h)),compose(h,a)),
    inference(spm,[status(thm)],[c_0_324,c_0_47]),
    [final] ).

cnf(c_0_1618,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_50,c_0_51]),
    [final] ).

cnf(c_0_1619,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(domain(X1),b),X2,domain(X1),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1620,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,domain(h)),compose(h,compose(a,b)))) = compose(compose(h,domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1621,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,domain(h)),compose(h,compose(a,b)))) = compose(compose(g,domain(h)),compose(h,compose(a,b))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_84]),c_0_29]),c_0_42]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1622,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),g),compose(compose(compose(h,compose(a,b)),domain(h)),g)) = compose(compose(compose(h,compose(a,b)),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_51]),
    [final] ).

cnf(c_0_1623,hypothesis,
    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)) = compose(compose(domain(compose(h,g)),h),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1624,hypothesis,
    ifeq(codomain(b),domain(a),compose(compose(a,b),a),compose(compose(compose(a,b),a),domain(b))) = compose(compose(compose(a,b),a),domain(b)),
    inference(spm,[status(thm)],[c_0_337,c_0_37]),
    [final] ).

cnf(c_0_1625,hypothesis,
    ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,domain(a)),compose(a,b))) = compose(compose(a,domain(a)),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_85]),c_0_29]),c_0_16]),c_0_22]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1626,hypothesis,
    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)) = compose(compose(domain(compose(g,g)),g),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1627,hypothesis,
    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)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_94]),c_0_37]),c_0_30]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1628,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_50,c_0_22]),
    [final] ).

cnf(c_0_1629,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_50,c_0_25]),
    [final] ).

cnf(c_0_1630,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(domain(X1),b),X2,domain(X1),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1631,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,a)),compose(compose(codomain(X1),domain(h)),compose(h,a))) = compose(compose(codomain(X1),domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1632,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,a)),compose(compose(codomain(X1),domain(h)),compose(g,a))) = compose(compose(codomain(X1),domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1633,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,a)),compose(compose(domain(X1),domain(h)),compose(h,a))) = compose(compose(domain(X1),domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1634,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,a)),compose(compose(domain(X1),domain(h)),compose(g,a))) = compose(compose(domain(X1),domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1635,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(a,b),X2,a,codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_378,c_0_44]),
    [final] ).

cnf(c_0_1636,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(compose(a,b),X1,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_378,c_0_37]),
    [final] ).

cnf(c_0_1637,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),b),compose(a,b),compose(h,compose(a,b)),a),a) = a,
    inference(spm,[status(thm)],[c_0_111,c_0_51]),
    [final] ).

cnf(c_0_1638,hypothesis,
    ifeq(codomain(b),domain(X1),compose(domain(a),compose(compose(a,b),domain(X1))),compose(compose(a,b),domain(X1))) = compose(compose(a,b),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_85]),c_0_37]),c_0_29]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1639,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(a,b),compose(codomain(b),domain(X1))),compose(compose(a,b),domain(X1))) = compose(compose(a,b),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1640,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),a),a) = a,
    inference(spm,[status(thm)],[c_0_112,c_0_51]),
    [final] ).

cnf(c_0_1641,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(compose(a,b),X1,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_378,c_0_51]),
    [final] ).

cnf(c_0_1642,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),compose(g,a))),compose(compose(h,a),compose(g,a))) = compose(compose(h,a),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1643,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),compose(g,a))),compose(compose(g,a),compose(g,a))) = compose(compose(g,a),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1644,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(h,compose(a,b)),a),compose(a,a),compose(h,compose(a,b)),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_51]),
    [final] ).

cnf(c_0_1645,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(domain(a),compose(compose(a,b),codomain(X1))),compose(compose(a,b),codomain(X1))) = compose(compose(a,b),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_85]),c_0_37]),c_0_29]),c_0_16]),c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1646,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(compose(a,b),compose(codomain(b),codomain(X1))),compose(compose(a,b),codomain(X1))) = compose(compose(a,b),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_94]),c_0_44]),c_0_37]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1647,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_51]),
    [final] ).

cnf(c_0_1648,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(a,b),X1,a,compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1649,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),compose(h,a))),compose(compose(h,a),compose(h,a))) = compose(compose(h,a),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1650,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),compose(h,a))),compose(compose(g,a),compose(h,a))) = compose(compose(g,a),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1651,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(b),domain(X1))),compose(compose(h,a),domain(X1))) = compose(compose(h,a),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1652,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(b),domain(X1))),compose(compose(g,a),domain(X1))) = compose(compose(g,a),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1653,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(compose(a,b),X1,a,compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1654,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,compose(a,b)),compose(codomain(b),g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_381,c_0_51]),
    [final] ).

cnf(c_0_1655,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),X3,ifeq(compose(domain(X1),b),X3,domain(X1),domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_382,c_0_29]),
    [final] ).

cnf(c_0_1656,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))) = compose(h,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_383,c_0_42]),
    [final] ).

cnf(c_0_1657,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))) = compose(g,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_384,c_0_42]),
    [final] ).

cnf(c_0_1658,hypothesis,
    ifeq(domain(b),codomain(X1),compose(compose(h,a),compose(domain(b),codomain(X1))),compose(compose(h,a),codomain(X1))) = compose(compose(h,a),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1659,hypothesis,
    ifeq(domain(b),codomain(X1),compose(compose(g,a),compose(domain(b),codomain(X1))),compose(compose(g,a),codomain(X1))) = compose(compose(g,a),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1660,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),b),X3,ifeq(compose(codomain(X1),b),X3,codomain(X1),domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_382,c_0_44]),
    [final] ).

cnf(c_0_1661,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(domain(b),a),compose(h,a),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_49]),
    [final] ).

cnf(c_0_1662,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(domain(b),a),compose(g,a),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_47]),
    [final] ).

cnf(c_0_1663,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(compose(a,b),b),X2,compose(a,b),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_382,c_0_37]),
    [final] ).

cnf(c_0_1664,hypothesis,
    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)) = compose(h,h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_40]),c_0_30]),
    [final] ).

cnf(c_0_1665,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(h,a),a),compose(h,a),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_49]),
    [final] ).

cnf(c_0_1666,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(compose(g,a),a),compose(g,a),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_47]),
    [final] ).

cnf(c_0_1667,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(compose(h,compose(a,b)),b),X2,compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_382,c_0_51]),
    [final] ).

cnf(c_0_1668,hypothesis,
    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)) = compose(h,g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_40]),c_0_30]),
    [final] ).

cnf(c_0_1669,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(h,a),compose(a,b)),compose(compose(compose(h,a),a),b)) = compose(compose(compose(h,a),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_49]),
    [final] ).

cnf(c_0_1670,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(g,a),compose(a,b)),compose(compose(compose(g,a),a),b)) = compose(compose(compose(g,a),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_47]),
    [final] ).

cnf(c_0_1671,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(h,compose(a,b)),X2,compose(h,a),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1672,hypothesis,
    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)) = compose(g,h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_40]),c_0_30]),
    [final] ).

cnf(c_0_1673,hypothesis,
    ifeq(domain(b),domain(a),compose(h,compose(a,compose(a,b))),compose(compose(h,a),compose(a,b))) = compose(compose(h,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_52,c_0_43]),
    [final] ).

cnf(c_0_1674,hypothesis,
    ifeq(domain(b),domain(a),compose(g,compose(a,compose(a,b))),compose(compose(g,a),compose(a,b))) = compose(compose(g,a),compose(a,b)),
    inference(spm,[status(thm)],[c_0_358,c_0_43]),
    [final] ).

cnf(c_0_1675,hypothesis,
    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)) = compose(g,g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_40]),c_0_30]),
    [final] ).

cnf(c_0_1676,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(a,b),X2,a,domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_382,c_0_18]),
    [final] ).

cnf(c_0_1677,hypothesis,
    ifeq(domain(X1),domain(a),compose(domain(X1),compose(domain(X1),compose(a,b))),compose(domain(X1),compose(a,b))) = compose(domain(X1),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_91]),c_0_29]),c_0_29]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1678,hypothesis,
    ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(codomain(X1),compose(a,b))),compose(codomain(X1),compose(a,b))) = compose(codomain(X1),compose(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_90]),c_0_44]),c_0_44]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1679,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(h,compose(a,b)),X2,compose(g,a),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1680,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(g,b),X2,g,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_370,c_0_44]),
    [final] ).

cnf(c_0_1681,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(g,a),X2,g,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_371,c_0_44]),
    [final] ).

cnf(c_0_1682,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(compose(h,b),X2,h,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_374,c_0_44]),
    [final] ).

cnf(c_0_1683,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(h,a),X2,h,codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_375,c_0_44]),
    [final] ).

cnf(c_0_1684,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(h,b),X2,h,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1685,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(compose(g,b),X2,g,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_1686,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(h,a),compose(b,X1)),compose(compose(h,compose(a,b)),X1)) = compose(compose(h,compose(a,b)),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1687,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(h,a),a),compose(compose(compose(h,a),a),domain(b))) = compose(compose(compose(h,a),a),domain(b)),
    inference(spm,[status(thm)],[c_0_337,c_0_49]),
    [final] ).

cnf(c_0_1688,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,b),X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_119,c_0_37]),
    [final] ).

cnf(c_0_1689,hypothesis,
    ifeq(codomain(b),domain(h),compose(h,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_305,c_0_26]),
    [final] ).

cnf(c_0_1690,hypothesis,
    ifeq(domain(b),domain(a),compose(compose(g,a),a),compose(compose(compose(g,a),a),domain(b))) = compose(compose(compose(g,a),a),domain(b)),
    inference(spm,[status(thm)],[c_0_337,c_0_47]),
    [final] ).

cnf(c_0_1691,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,b),X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_119,c_0_51]),
    [final] ).

cnf(c_0_1692,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(h,b),compose(compose(a,b),b),h,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_118,c_0_37]),
    [final] ).

cnf(c_0_1693,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(g,b),compose(compose(a,b),b),g,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_117,c_0_37]),
    [final] ).

cnf(c_0_1694,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1695,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(codomain(X1),compose(h,a))),compose(codomain(X1),compose(h,a))) = compose(codomain(X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_385,c_0_48]),
    [final] ).

cnf(c_0_1696,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(codomain(X1),compose(g,a))),compose(codomain(X1),compose(g,a))) = compose(codomain(X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_385,c_0_46]),
    [final] ).

cnf(c_0_1697,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(h,b),h,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_116,c_0_37]),
    [final] ).

cnf(c_0_1698,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),compose(g,b),g,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_115,c_0_37]),
    [final] ).

cnf(c_0_1699,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(domain(X1),compose(h,a))),compose(domain(X1),compose(h,a))) = compose(domain(X1),compose(h,a)),
    inference(spm,[status(thm)],[c_0_338,c_0_48]),
    [final] ).

cnf(c_0_1700,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(domain(X1),compose(g,a))),compose(domain(X1),compose(g,a))) = compose(domain(X1),compose(g,a)),
    inference(spm,[status(thm)],[c_0_338,c_0_46]),
    [final] ).

cnf(c_0_1701,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(h,a),compose(compose(a,b),a),h,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_105,c_0_37]),
    [final] ).

cnf(c_0_1702,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(g,a),compose(compose(a,b),a),g,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_106,c_0_37]),
    [final] ).

cnf(c_0_1703,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1704,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(h),compose(compose(h,a),domain(X1))),compose(compose(h,a),domain(X1))) = compose(compose(h,a),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_93]),c_0_49]),c_0_29]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1705,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(h),compose(compose(g,a),domain(X1))),compose(compose(g,a),domain(X1))) = compose(compose(g,a),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1706,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(h,a),h,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_107,c_0_37]),
    [final] ).

cnf(c_0_1707,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),compose(g,a),g,compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_108,c_0_37]),
    [final] ).

cnf(c_0_1708,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(a,b),b),compose(X1,b),compose(a,b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_58,c_0_37]),
    [final] ).

cnf(c_0_1709,hypothesis,
    ifeq(domain(b),codomain(X1),compose(domain(h),compose(compose(h,a),codomain(X1))),compose(compose(h,a),codomain(X1))) = compose(compose(h,a),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_93]),c_0_49]),c_0_29]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1710,hypothesis,
    ifeq(domain(b),codomain(X1),compose(domain(h),compose(compose(g,a),codomain(X1))),compose(compose(g,a),codomain(X1))) = compose(compose(g,a),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1711,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(a,compose(compose(a,b),a),domain(a),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_113,c_0_37]),
    [final] ).

cnf(c_0_1712,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),a,domain(a),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_114,c_0_37]),
    [final] ).

cnf(c_0_1713,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),b),compose(X1,b),compose(h,compose(a,b)),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_58,c_0_51]),
    [final] ).

cnf(c_0_1714,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(a,b),X1,a,h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_378,c_0_22]),
    [final] ).

cnf(c_0_1715,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(a,b),X1,a,g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_378,c_0_25]),
    [final] ).

cnf(c_0_1716,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,h),compose(a,b))) = compose(compose(a,h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_18]),
    [final] ).

cnf(c_0_1717,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(h,compose(a,b)),compose(X1,b),compose(h,a),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1718,hypothesis,
    ifeq(codomain(b),domain(h),compose(a,compose(b,compose(h,a))),compose(compose(a,b),compose(h,a))) = compose(compose(a,b),compose(h,a)),
    inference(spm,[status(thm)],[c_0_339,c_0_48]),
    [final] ).

cnf(c_0_1719,hypothesis,
    ifeq(codomain(b),domain(h),compose(a,compose(b,compose(g,a))),compose(compose(a,b),compose(g,a))) = compose(compose(a,b),compose(g,a)),
    inference(spm,[status(thm)],[c_0_339,c_0_46]),
    [final] ).

cnf(c_0_1720,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(h,a)),b)) = compose(compose(a,compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1721,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(h,a)),compose(compose(compose(a,b),h),a)) = compose(compose(compose(a,b),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_37]),
    [final] ).

cnf(c_0_1722,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(g,a)),compose(compose(compose(a,b),g),a)) = compose(compose(compose(a,b),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_37]),
    [final] ).

cnf(c_0_1723,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(h,compose(a,b))),compose(compose(X1,compose(h,a)),b)) = compose(compose(X1,compose(h,a)),b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_70]),c_0_92]),
    [final] ).

cnf(c_0_1724,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,h),compose(a,b))) = compose(compose(h,h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_22]),
    [final] ).

cnf(c_0_1725,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,h),compose(a,b))) = compose(compose(g,h),compose(a,b)),
    inference(spm,[status(thm)],[c_0_307,c_0_25]),
    [final] ).

cnf(c_0_1726,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,compose(g,a)),b)) = compose(compose(a,compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1727,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,compose(a,b))),compose(compose(a,g),compose(a,b))) = compose(compose(a,g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_18]),
    [final] ).

cnf(c_0_1728,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),compose(g,a))),compose(compose(g,a),compose(g,a))) = compose(compose(g,a),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1729,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),compose(g,a))),compose(compose(h,a),compose(g,a))) = compose(compose(h,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_386,c_0_46]),
    [final] ).

cnf(c_0_1730,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),compose(h,a))),compose(compose(h,a),compose(h,a))) = compose(compose(h,a),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_93]),c_0_49]),c_0_29]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1731,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),compose(h,a))),compose(compose(g,a),compose(h,a))) = compose(compose(g,a),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_102]),c_0_47]),c_0_29]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1732,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(b,X2,ifeq(compose(domain(X1),b),X2,domain(X1),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_29]),
    [final] ).

cnf(c_0_1733,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(b,X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_44]),
    [final] ).

cnf(c_0_1734,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(h,compose(a,b)))),compose(h,compose(h,compose(a,b)))) = compose(h,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_387,c_0_42]),
    [final] ).

cnf(c_0_1735,hypothesis,
    ifeq(codomain(b),domain(h),compose(domain(h),compose(compose(h,compose(a,b)),g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_1736,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(h,compose(a,b)))),compose(g,compose(h,compose(a,b)))) = compose(g,compose(h,compose(a,b))),
    inference(spm,[status(thm)],[c_0_389,c_0_42]),
    [final] ).

cnf(c_0_1737,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(b,X1,ifeq(compose(compose(a,b),b),X1,compose(a,b),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_37]),
    [final] ).

cnf(c_0_1738,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(b,X1,ifeq(compose(compose(h,compose(a,b)),b),X1,compose(h,compose(a,b)),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_51]),
    [final] ).

cnf(c_0_1739,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,X1,ifeq(compose(h,compose(a,b)),X1,compose(h,a),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1740,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,compose(h,a)),domain(b))) = compose(compose(a,compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1741,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,compose(g,a)),domain(b))) = compose(compose(a,compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1742,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,X1,ifeq(compose(h,compose(a,b)),X1,compose(g,a),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1743,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),h),compose(compose(compose(a,b),h),domain(a))) = compose(compose(compose(a,b),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_37]),
    [final] ).

cnf(c_0_1744,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),g),compose(compose(compose(a,b),g),domain(a))) = compose(compose(compose(a,b),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_37]),
    [final] ).

cnf(c_0_1745,hypothesis,
    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)) = compose(compose(a,h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_18]),
    [final] ).

cnf(c_0_1746,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),compose(domain(X1),b),domain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_57,c_0_29]),
    [final] ).

cnf(c_0_1747,hypothesis,
    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)) = compose(compose(a,g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_18]),
    [final] ).

cnf(c_0_1748,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(a,b),X1),compose(compose(compose(a,b),X1),codomain(X1))) = compose(compose(compose(a,b),X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_37]),
    [final] ).

cnf(c_0_1749,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(h,a),X1),compose(compose(compose(h,a),X1),codomain(X1))) = compose(compose(compose(h,a),X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_49]),
    [final] ).

cnf(c_0_1750,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(g,a),X1),compose(compose(compose(g,a),X1),codomain(X1))) = compose(compose(compose(g,a),X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_47]),
    [final] ).

cnf(c_0_1751,hypothesis,
    ifeq(domain(b),domain(a),compose(domain(a),compose(a,compose(a,b))),compose(a,compose(a,b))) = compose(a,compose(a,b)),
    inference(spm,[status(thm)],[c_0_360,c_0_43]),
    [final] ).

cnf(c_0_1752,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,b),compose(codomain(X1),b),codomain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_57,c_0_44]),
    [final] ).

cnf(c_0_1753,hypothesis,
    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)) = compose(compose(h,h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_22]),
    [final] ).

cnf(c_0_1754,hypothesis,
    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)) = compose(compose(g,h),g),
    inference(spm,[status(thm)],[c_0_296,c_0_25]),
    [final] ).

cnf(c_0_1755,hypothesis,
    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)) = compose(compose(h,g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_22]),
    [final] ).

cnf(c_0_1756,hypothesis,
    ifeq(domain(b),domain(a),compose(a,compose(domain(b),compose(a,b))),compose(a,compose(a,b))) = compose(a,compose(a,b)),
    inference(spm,[status(thm)],[c_0_361,c_0_43]),
    [final] ).

cnf(c_0_1757,hypothesis,
    ifeq(codomain(b),domain(X1),compose(compose(a,b),X1),compose(compose(compose(a,b),domain(X1)),X1)) = compose(compose(compose(a,b),domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_37]),
    [final] ).

cnf(c_0_1758,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(h,a),X1),compose(compose(compose(h,a),domain(X1)),X1)) = compose(compose(compose(h,a),domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_49]),
    [final] ).

cnf(c_0_1759,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(g,a),X1),compose(compose(compose(g,a),domain(X1)),X1)) = compose(compose(compose(g,a),domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_47]),
    [final] ).

cnf(c_0_1760,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,X1,ifeq(compose(a,b),X1,a,domain(b)),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_56,c_0_18]),
    [final] ).

cnf(c_0_1761,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(compose(a,b),b),compose(a,b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_57,c_0_37]),
    [final] ).

cnf(c_0_1762,hypothesis,
    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)) = compose(compose(g,g),g),
    inference(spm,[status(thm)],[c_0_297,c_0_25]),
    [final] ).

cnf(c_0_1763,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(compose(h,compose(a,b)),b),compose(h,compose(a,b)),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_57,c_0_51]),
    [final] ).

cnf(c_0_1764,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_328,c_0_18]),
    [final] ).

cnf(c_0_1765,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),a),compose(domain(b),a),domain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_29]),
    [final] ).

cnf(c_0_1766,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),a),compose(domain(b),a),codomain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_44]),
    [final] ).

cnf(c_0_1767,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),a,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_329,c_0_18]),
    [final] ).

cnf(c_0_1768,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,b),compose(h,compose(a,b)),compose(h,a),X1),X1),X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1769,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_330,c_0_18]),
    [final] ).

cnf(c_0_1770,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),a,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_331,c_0_18]),
    [final] ).

cnf(c_0_1771,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(b),a),compose(domain(X1),a),domain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_29]),
    [final] ).

cnf(c_0_1772,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(domain(b),a),compose(codomain(X1),a),codomain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_44]),
    [final] ).

cnf(c_0_1773,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(domain(a),b),X1,domain(a),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1774,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(domain(a),b),X1,domain(a),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1775,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(h,a),a),a,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_333,c_0_18]),
    [final] ).

cnf(c_0_1776,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(g,a),a),a,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_334,c_0_18]),
    [final] ).

cnf(c_0_1777,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(a,a),a,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(spm,[status(thm)],[c_0_335,c_0_18]),
    [final] ).

cnf(c_0_1778,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(a,b),X2,ifeq(compose(domain(X1),b),X2,domain(X1),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_119,c_0_29]),
    [final] ).

cnf(c_0_1779,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(a,a),a,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(spm,[status(thm)],[c_0_336,c_0_18]),
    [final] ).

cnf(c_0_1780,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,b),X2,ifeq(compose(codomain(X1),b),X2,codomain(X1),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_119,c_0_44]),
    [final] ).

cnf(c_0_1781,hypothesis,
    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) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1782,hypothesis,
    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) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1783,hypothesis,
    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) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1784,hypothesis,
    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) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1785,hypothesis,
    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) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1786,hypothesis,
    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) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1787,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(a),b),compose(domain(X1),b),domain(a),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_309,c_0_29]),
    [final] ).

cnf(c_0_1788,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(domain(a),b),compose(codomain(X1),b),domain(a),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_309,c_0_44]),
    [final] ).

cnf(c_0_1789,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(domain(a),b),domain(a),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_310,c_0_29]),
    [final] ).

cnf(c_0_1790,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),X2,ifeq(b,X2,domain(b),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_83,c_0_29]),
    [final] ).

cnf(c_0_1791,hypothesis,
    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) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_92]),c_0_49]),
    [final] ).

cnf(c_0_1792,hypothesis,
    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) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1793,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(domain(a),b),domain(a),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_310,c_0_44]),
    [final] ).

cnf(c_0_1794,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),X2,ifeq(b,X2,domain(b),codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_83,c_0_44]),
    [final] ).

cnf(c_0_1795,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_49]),
    [final] ).

cnf(c_0_1796,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_47]),
    [final] ).

cnf(c_0_1797,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_49]),
    [final] ).

cnf(c_0_1798,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_47]),
    [final] ).

cnf(c_0_1799,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),b),X1,ifeq(b,X1,domain(b),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_83,c_0_37]),
    [final] ).

cnf(c_0_1800,hypothesis,
    ifeq(domain(b),domain(a),compose(g,a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1801,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),b),X1,ifeq(b,X1,domain(b),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_83,c_0_51]),
    [final] ).

cnf(c_0_1802,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_49]),
    [final] ).

cnf(c_0_1803,hypothesis,
    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) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_47]),
    [final] ).

cnf(c_0_1804,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_49]),
    [final] ).

cnf(c_0_1805,hypothesis,
    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) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_47]),
    [final] ).

cnf(c_0_1806,hypothesis,
    ifeq(domain(b),domain(a),compose(h,a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1807,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(b,X1,domain(b),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_1808,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(b,X1,domain(b),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_83,c_0_22]),
    [final] ).

cnf(c_0_1809,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(b,X1,domain(b),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_83,c_0_25]),
    [final] ).

cnf(c_0_1810,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),X1,ifeq(b,X1,domain(b),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1811,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X2),a),X3,ifeq(compose(domain(X1),a),X3,domain(X1),codomain(X2)),codomain(X2)),codomain(X2)),codomain(X2)) = codomain(X2),
    inference(spm,[status(thm)],[c_0_390,c_0_44]),
    [final] ).

cnf(c_0_1812,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_390,c_0_37]),
    [final] ).

cnf(c_0_1813,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_390,c_0_51]),
    [final] ).

cnf(c_0_1814,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(compose(h,a),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1815,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(compose(g,a),a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1816,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_390,c_0_22]),
    [final] ).

cnf(c_0_1817,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_390,c_0_25]),
    [final] ).

cnf(c_0_1818,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X1),b),compose(h,b),domain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_343,c_0_29]),
    [final] ).

cnf(c_0_1819,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X1),b),compose(h,b),codomain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_343,c_0_44]),
    [final] ).

cnf(c_0_1820,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X1),b),compose(g,b),domain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_344,c_0_29]),
    [final] ).

cnf(c_0_1821,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X1),b),compose(g,b),codomain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_344,c_0_44]),
    [final] ).

cnf(c_0_1822,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(domain(X1),b),domain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_345,c_0_29]),
    [final] ).

cnf(c_0_1823,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(codomain(X1),b),codomain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_345,c_0_44]),
    [final] ).

cnf(c_0_1824,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(domain(X1),b),domain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_346,c_0_29]),
    [final] ).

cnf(c_0_1825,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(codomain(X1),b),codomain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_346,c_0_44]),
    [final] ).

cnf(c_0_1826,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X1),a),compose(h,a),domain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_29]),
    [final] ).

cnf(c_0_1827,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X1),a),compose(h,a),codomain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_44]),
    [final] ).

cnf(c_0_1828,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),b,compose(a,b),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_109,c_0_37]),
    [final] ).

cnf(c_0_1829,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(b,compose(compose(a,b),b),compose(a,b),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_110,c_0_37]),
    [final] ).

cnf(c_0_1830,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(domain(X1),a),compose(g,a),domain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_29]),
    [final] ).

cnf(c_0_1831,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(codomain(X1),a),compose(g,a),codomain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_44]),
    [final] ).

cnf(c_0_1832,plain,
    ifeq(codomain(X1),domain(X2),compose(codomain(X1),domain(X2)),compose(compose(codomain(X1),domain(X2)),domain(X2))) = compose(compose(codomain(X1),domain(X2)),domain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1833,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(domain(X1),a),domain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_29]),
    [final] ).

cnf(c_0_1834,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(codomain(X1),a),codomain(X1),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_44]),
    [final] ).

cnf(c_0_1835,plain,
    ifeq(codomain(X1),codomain(X2),compose(codomain(X1),codomain(X2)),compose(compose(codomain(X1),codomain(X2)),codomain(X2))) = compose(compose(codomain(X1),codomain(X2)),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1836,plain,
    ifeq(domain(X1),domain(X2),compose(domain(X1),domain(X2)),compose(compose(domain(X1),domain(X2)),domain(X2))) = compose(compose(domain(X1),domain(X2)),domain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1837,plain,
    ifeq(domain(X1),codomain(X2),compose(domain(X1),codomain(X2)),compose(compose(domain(X1),codomain(X2)),codomain(X2))) = compose(compose(domain(X1),codomain(X2)),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1838,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,X1,ifeq(b,X1,domain(b),domain(b)),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_1839,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),a),X2,ifeq(compose(a,a),X2,a,codomain(X1)),codomain(X1)),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_391,c_0_44]),
    [final] ).

cnf(c_0_1840,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(domain(X1),a),domain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_29]),
    [final] ).

cnf(c_0_1841,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(codomain(X1),a),codomain(X1),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_44]),
    [final] ).

cnf(c_0_1842,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(compose(a,a),X1,a,compose(a,b)),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_391,c_0_37]),
    [final] ).

cnf(c_0_1843,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(compose(a,a),X1,a,compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_391,c_0_51]),
    [final] ).

cnf(c_0_1844,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),X1,ifeq(compose(a,a),X1,a,compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1845,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),domain(b),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1846,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),domain(b),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1847,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),X1,ifeq(compose(a,a),X1,a,compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1848,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,domain(b),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1849,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,domain(b),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1850,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(a,a),X1,a,h),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_391,c_0_22]),
    [final] ).

cnf(c_0_1851,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(a,a),X1,a,g),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_391,c_0_25]),
    [final] ).

cnf(c_0_1852,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),b),compose(a,b),compose(a,b),a),a) = a,
    inference(spm,[status(thm)],[c_0_111,c_0_37]),
    [final] ).

cnf(c_0_1853,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(domain(a),b),X1,domain(a),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_87,c_0_22]),
    [final] ).

cnf(c_0_1854,hypothesis,
    ifeq(codomain(X1),domain(a),compose(X1,compose(codomain(X1),compose(a,b))),compose(X1,compose(a,b))) = compose(X1,compose(a,b)),
    inference(spm,[status(thm)],[c_0_104,c_0_43]),
    [final] ).

cnf(c_0_1855,hypothesis,
    ifeq(codomain(X1),domain(a),compose(domain(X1),compose(X1,compose(a,b))),compose(X1,compose(a,b))) = compose(X1,compose(a,b)),
    inference(spm,[status(thm)],[c_0_98,c_0_43]),
    [final] ).

cnf(c_0_1856,hypothesis,
    ifeq(compose(domain(a),b),compose(h,compose(a,b)),domain(a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1857,hypothesis,
    ifeq(compose(domain(a),b),compose(h,compose(a,b)),domain(a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1858,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(domain(a),b),compose(h,b),domain(a),h),h) = h,
    inference(spm,[status(thm)],[c_0_309,c_0_22]),
    [final] ).

cnf(c_0_1859,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(domain(a),b),domain(a),h),h) = h,
    inference(spm,[status(thm)],[c_0_310,c_0_22]),
    [final] ).

cnf(c_0_1860,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(domain(a),b),domain(a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1861,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(domain(a),b),domain(a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1862,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),X3,ifeq(compose(domain(X1),a),X3,domain(X1),domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_86,c_0_29]),
    [final] ).

cnf(c_0_1863,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(domain(a),b),compose(g,b),domain(a),g),g) = g,
    inference(spm,[status(thm)],[c_0_392,c_0_19]),
    [final] ).

cnf(c_0_1864,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(domain(a),b),domain(a),g),g) = g,
    inference(spm,[status(thm)],[c_0_392,c_0_19]),
    [final] ).

cnf(c_0_1865,hypothesis,
    ifeq(b,X1,ifeq(compose(domain(a),b),X1,domain(a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_1866,hypothesis,
    ifeq(compose(a,b),X1,ifeq(compose(domain(a),b),X1,domain(a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_1867,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,b),compose(compose(a,b),b),compose(a,b),a),a) = a,
    inference(spm,[status(thm)],[c_0_112,c_0_37]),
    [final] ).

cnf(c_0_1868,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(X2),domain(b),ifeq(compose(domain(X2),a),X3,ifeq(compose(codomain(X1),a),X3,codomain(X1),domain(X2)),domain(X2)),domain(X2)),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_86,c_0_44]),
    [final] ).

cnf(c_0_1869,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,domain(h)),compose(h,a))) = compose(compose(a,domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1870,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,domain(h)),compose(g,a))) = compose(compose(a,domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1871,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(compose(a,b),a),compose(a,a),compose(a,b),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_37]),
    [final] ).

cnf(c_0_1872,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,a),compose(compose(a,b),a),compose(a,b),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_37]),
    [final] ).

cnf(c_0_1873,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(compose(a,b),a),X2,compose(a,b),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_37]),
    [final] ).

cnf(c_0_1874,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(domain(b),a),a,domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_341,c_0_18]),
    [final] ).

cnf(c_0_1875,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(domain(b),a),compose(a,a),a,domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_342,c_0_18]),
    [final] ).

cnf(c_0_1876,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(compose(h,compose(a,b)),a),X2,compose(h,compose(a,b)),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_51]),
    [final] ).

cnf(c_0_1877,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),g),compose(compose(compose(a,b),domain(h)),g)) = compose(compose(compose(a,b),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_37]),
    [final] ).

cnf(c_0_1878,hypothesis,
    ifeq(domain(X1),domain(a),compose(domain(X1),compose(a,b)),compose(compose(domain(X1),a),b)) = compose(compose(domain(X1),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_29]),
    [final] ).

cnf(c_0_1879,hypothesis,
    ifeq(codomain(X1),domain(a),compose(codomain(X1),compose(a,b)),compose(compose(codomain(X1),a),b)) = compose(compose(codomain(X1),a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_44]),
    [final] ).

cnf(c_0_1880,hypothesis,
    ifeq(codomain(b),domain(X1),compose(a,compose(b,domain(X1))),compose(compose(a,b),domain(X1))) = compose(compose(a,b),domain(X1)),
    inference(spm,[status(thm)],[c_0_339,c_0_45]),
    [final] ).

cnf(c_0_1881,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(compose(h,a),a),X2,compose(h,a),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_49]),
    [final] ).

cnf(c_0_1882,hypothesis,
    ifeq(codomain(b),codomain(X1),compose(a,compose(b,codomain(X1))),compose(compose(a,b),codomain(X1))) = compose(compose(a,b),codomain(X1)),
    inference(spm,[status(thm)],[c_0_339,c_0_30]),
    [final] ).

cnf(c_0_1883,hypothesis,
    ifeq(domain(b),domain(X1),compose(h,compose(a,domain(X1))),compose(compose(h,a),domain(X1))) = compose(compose(h,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_52,c_0_45]),
    [final] ).

cnf(c_0_1884,hypothesis,
    ifeq(domain(b),codomain(X1),compose(h,compose(a,codomain(X1))),compose(compose(h,a),codomain(X1))) = compose(compose(h,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_52,c_0_30]),
    [final] ).

cnf(c_0_1885,hypothesis,
    ifeq(domain(b),domain(X1),compose(g,compose(a,domain(X1))),compose(compose(g,a),domain(X1))) = compose(compose(g,a),domain(X1)),
    inference(spm,[status(thm)],[c_0_358,c_0_45]),
    [final] ).

cnf(c_0_1886,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(compose(g,a),a),X2,compose(g,a),domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_47]),
    [final] ).

cnf(c_0_1887,hypothesis,
    ifeq(domain(b),codomain(X1),compose(g,compose(a,codomain(X1))),compose(compose(g,a),codomain(X1))) = compose(compose(g,a),codomain(X1)),
    inference(spm,[status(thm)],[c_0_358,c_0_30]),
    [final] ).

cnf(c_0_1888,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),X1,ifeq(compose(a,b),X1,a,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_119,c_0_18]),
    [final] ).

cnf(c_0_1889,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(a,a),X2,a,domain(X1)),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_86,c_0_18]),
    [final] ).

cnf(c_0_1890,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(h,a),X2,h,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1891,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(compose(g,a),X2,g,domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_1892,hypothesis,
    ifeq(compose(domain(b),a),X1,ifeq(compose(h,a),X1,h,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1893,hypothesis,
    ifeq(compose(domain(b),a),X1,ifeq(compose(g,a),X1,g,domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_1894,hypothesis,
    ifeq(codomain(X1),domain(a),compose(codomain(X1),a),compose(compose(codomain(X1),a),domain(b))) = compose(compose(codomain(X1),a),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_95]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1895,hypothesis,
    ifeq(domain(X1),domain(a),compose(domain(X1),a),compose(compose(domain(X1),a),domain(b))) = compose(compose(domain(X1),a),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_95]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1896,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(h,a))),compose(a,compose(h,a))) = compose(a,compose(h,a)),
    inference(spm,[status(thm)],[c_0_360,c_0_48]),
    [final] ).

cnf(c_0_1897,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(a),compose(a,compose(g,a))),compose(a,compose(g,a))) = compose(a,compose(g,a)),
    inference(spm,[status(thm)],[c_0_360,c_0_46]),
    [final] ).

cnf(c_0_1898,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(h,a))),compose(a,compose(h,a))) = compose(a,compose(h,a)),
    inference(spm,[status(thm)],[c_0_361,c_0_48]),
    [final] ).

cnf(c_0_1899,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(domain(b),compose(g,a))),compose(a,compose(g,a))) = compose(a,compose(g,a)),
    inference(spm,[status(thm)],[c_0_361,c_0_46]),
    [final] ).

cnf(c_0_1900,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(a,b),compose(codomain(b),g)),compose(compose(a,b),g)) = compose(compose(a,b),g),
    inference(spm,[status(thm)],[c_0_381,c_0_37]),
    [final] ).

cnf(c_0_1901,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(codomain(X1),compose(h,a))),compose(X1,compose(h,a))) = compose(X1,compose(h,a)),
    inference(spm,[status(thm)],[c_0_104,c_0_48]),
    [final] ).

cnf(c_0_1902,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(codomain(X1),compose(g,a))),compose(X1,compose(g,a))) = compose(X1,compose(g,a)),
    inference(spm,[status(thm)],[c_0_104,c_0_46]),
    [final] ).

cnf(c_0_1903,hypothesis,
    ifeq(codomain(b),domain(h),compose(domain(a),compose(compose(a,b),g)),compose(compose(a,b),g)) = compose(compose(a,b),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_1904,hypothesis,
    ifeq(codomain(X1),domain(h),compose(domain(X1),compose(X1,compose(h,a))),compose(X1,compose(h,a))) = compose(X1,compose(h,a)),
    inference(spm,[status(thm)],[c_0_98,c_0_48]),
    [final] ).

cnf(c_0_1905,hypothesis,
    ifeq(codomain(X1),domain(h),compose(domain(X1),compose(X1,compose(g,a))),compose(X1,compose(g,a))) = compose(X1,compose(g,a)),
    inference(spm,[status(thm)],[c_0_98,c_0_46]),
    [final] ).

cnf(c_0_1906,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(h,a),compose(b,g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_92]),c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_1907,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(h,a)),b)) = compose(compose(h,compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1908,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(h,a)),b)) = compose(compose(g,compose(h,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_92]),c_0_49]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1909,hypothesis,
    ifeq(domain(b),domain(h),compose(h,compose(a,compose(h,a))),compose(compose(h,a),compose(h,a))) = compose(compose(h,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_52,c_0_48]),
    [final] ).

cnf(c_0_1910,hypothesis,
    ifeq(domain(b),domain(h),compose(h,compose(a,compose(g,a))),compose(compose(h,a),compose(g,a))) = compose(compose(h,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_52,c_0_46]),
    [final] ).

cnf(c_0_1911,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(a,a),X2,ifeq(compose(domain(X1),a),X2,domain(X1),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_29]),
    [final] ).

cnf(c_0_1912,hypothesis,
    ifeq(domain(b),domain(h),compose(g,compose(a,compose(h,a))),compose(compose(g,a),compose(h,a))) = compose(compose(g,a),compose(h,a)),
    inference(spm,[status(thm)],[c_0_358,c_0_48]),
    [final] ).

cnf(c_0_1913,hypothesis,
    ifeq(domain(b),domain(h),compose(g,compose(a,compose(g,a))),compose(compose(g,a),compose(g,a))) = compose(compose(g,a),compose(g,a)),
    inference(spm,[status(thm)],[c_0_358,c_0_46]),
    [final] ).

cnf(c_0_1914,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(h,a)),compose(compose(compose(h,a),h),a)) = compose(compose(compose(h,a),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_49]),
    [final] ).

cnf(c_0_1915,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(h,a)),compose(compose(compose(g,a),h),a)) = compose(compose(compose(g,a),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_47]),
    [final] ).

cnf(c_0_1916,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,a),X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_44]),
    [final] ).

cnf(c_0_1917,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(g,a)),compose(compose(compose(h,a),g),a)) = compose(compose(compose(h,a),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_49]),
    [final] ).

cnf(c_0_1918,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(g,a)),compose(compose(compose(g,a),g),a)) = compose(compose(compose(g,a),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_47]),
    [final] ).

cnf(c_0_1919,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,a),X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_37]),
    [final] ).

cnf(c_0_1920,hypothesis,
    ifeq(codomain(b),domain(h),compose(compose(g,a),compose(b,g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_1921,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,compose(h,a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1922,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(compose(a,a),X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_51]),
    [final] ).

cnf(c_0_1923,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,compose(g,a)),b)) = compose(compose(h,compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1924,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,compose(g,a)),b)) = compose(compose(g,compose(g,a)),b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_82]),c_0_47]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1925,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),b,compose(g,a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1926,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),compose(h,a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1927,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_49]),
    [final] ).

cnf(c_0_1928,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,compose(a,b))),compose(compose(h,g),compose(a,b))) = compose(compose(h,g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_22]),
    [final] ).

cnf(c_0_1929,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,compose(a,b))),compose(compose(g,g),compose(a,b))) = compose(compose(g,g),compose(a,b)),
    inference(spm,[status(thm)],[c_0_353,c_0_25]),
    [final] ).

cnf(c_0_1930,hypothesis,
    ifeq(codomain(b),domain(h),compose(g,compose(compose(a,b),g)),compose(compose(h,compose(a,b)),g)) = compose(compose(h,compose(a,b)),g),
    inference(spm,[status(thm)],[c_0_367,c_0_26]),
    [final] ).

cnf(c_0_1931,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(h,compose(a,b)),compose(g,a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1932,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_47]),
    [final] ).

cnf(c_0_1933,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),X1,ifeq(compose(a,a),X1,a,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_120,c_0_18]),
    [final] ).

cnf(c_0_1934,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(domain(X1),a),compose(X2,a),domain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_53,c_0_29]),
    [final] ).

cnf(c_0_1935,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(codomain(X1),a),compose(X2,a),codomain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_53,c_0_44]),
    [final] ).

cnf(c_0_1936,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(a,b),a),compose(X1,a),compose(a,b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_37]),
    [final] ).

cnf(c_0_1937,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,compose(a,b)),a),compose(X1,a),compose(h,compose(a,b)),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_51]),
    [final] ).

cnf(c_0_1938,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(h,a),a),compose(X1,a),compose(h,a),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_49]),
    [final] ).

cnf(c_0_1939,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(compose(g,a),a),compose(X1,a),compose(g,a),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_47]),
    [final] ).

cnf(c_0_1940,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(a,a),compose(X1,a),a,X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_53,c_0_18]),
    [final] ).

cnf(c_0_1941,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(h,a)),compose(compose(domain(X1),h),a)) = compose(compose(domain(X1),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_29]),
    [final] ).

cnf(c_0_1942,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(h,a)),compose(compose(codomain(X1),h),a)) = compose(compose(codomain(X1),h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_44]),
    [final] ).

cnf(c_0_1943,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(g,a)),compose(compose(domain(X1),g),a)) = compose(compose(domain(X1),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_29]),
    [final] ).

cnf(c_0_1944,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(g,a)),compose(compose(codomain(X1),g),a)) = compose(compose(codomain(X1),g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_44]),
    [final] ).

cnf(c_0_1945,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(h,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1946,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(h,compose(a,b)),compose(a,b),compose(g,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1947,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(h,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_49]),c_0_92]),
    [final] ).

cnf(c_0_1948,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),compose(h,compose(a,b)),compose(g,a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_82]),c_0_47]),
    [final] ).

cnf(c_0_1949,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_1950,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,compose(h,a)),domain(b))) = compose(compose(h,compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1951,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(h,a),a),compose(a,a),compose(h,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_49]),
    [final] ).

cnf(c_0_1952,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(compose(g,a),a),compose(a,a),compose(g,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_47]),
    [final] ).

cnf(c_0_1953,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,compose(g,a)),domain(b))) = compose(compose(h,compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1954,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,compose(h,a)),domain(b))) = compose(compose(g,compose(h,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_99]),c_0_49]),c_0_45]),c_0_48]),c_0_19]),
    [final] ).

cnf(c_0_1955,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,compose(g,a)),domain(b))) = compose(compose(g,compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_1956,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),h),compose(compose(compose(h,a),h),domain(a))) = compose(compose(compose(h,a),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_49]),
    [final] ).

cnf(c_0_1957,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(h,a),a),compose(h,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_49]),
    [final] ).

cnf(c_0_1958,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,a),compose(compose(g,a),a),compose(g,a),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_47]),
    [final] ).

cnf(c_0_1959,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),h),compose(compose(compose(g,a),h),domain(a))) = compose(compose(compose(g,a),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_47]),
    [final] ).

cnf(c_0_1960,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),g),compose(compose(compose(h,a),g),domain(a))) = compose(compose(compose(h,a),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_49]),
    [final] ).

cnf(c_0_1961,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),g),compose(compose(compose(g,a),g),domain(a))) = compose(compose(compose(g,a),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_47]),
    [final] ).

cnf(c_0_1962,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,X2,ifeq(compose(domain(X1),a),X2,domain(X1),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_29]),
    [final] ).

cnf(c_0_1963,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(domain(a),domain(b),ifeq(a,X2,ifeq(compose(codomain(X1),a),X2,codomain(X1),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_44]),
    [final] ).

cnf(c_0_1964,plain,
    ifeq(domain(X1),domain(X2),compose(domain(X1),compose(domain(X1),domain(X2))),compose(domain(X1),domain(X2))) = compose(domain(X1),domain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_91]),c_0_29]),c_0_29]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1965,plain,
    ifeq(codomain(X1),domain(X2),compose(codomain(X1),compose(codomain(X1),domain(X2))),compose(codomain(X1),domain(X2))) = compose(codomain(X1),domain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_90]),c_0_44]),c_0_44]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1966,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(compose(a,b),a),X1,compose(a,b),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_37]),
    [final] ).

cnf(c_0_1967,plain,
    ifeq(domain(X1),codomain(X2),compose(domain(X1),compose(domain(X1),codomain(X2))),compose(domain(X1),codomain(X2))) = compose(domain(X1),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_91]),c_0_29]),c_0_29]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1968,plain,
    ifeq(codomain(X1),codomain(X2),compose(codomain(X1),compose(codomain(X1),codomain(X2))),compose(codomain(X1),codomain(X2))) = compose(codomain(X1),codomain(X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_90]),c_0_44]),c_0_44]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1969,hypothesis,
    ifeq(domain(b),domain(X1),compose(a,domain(X1)),compose(compose(a,domain(X1)),domain(X1))) = compose(compose(a,domain(X1)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1970,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(compose(h,compose(a,b)),a),X1,compose(h,compose(a,b)),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_51]),
    [final] ).

cnf(c_0_1971,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,b),compose(h,b),a,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_343,c_0_18]),
    [final] ).

cnf(c_0_1972,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,b),compose(g,b),a,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_344,c_0_18]),
    [final] ).

cnf(c_0_1973,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(a,b),a,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_345,c_0_18]),
    [final] ).

cnf(c_0_1974,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(a,b),a,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_346,c_0_18]),
    [final] ).

cnf(c_0_1975,hypothesis,
    ifeq(domain(b),codomain(X1),compose(a,codomain(X1)),compose(compose(a,codomain(X1)),codomain(X1))) = compose(compose(a,codomain(X1)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1976,hypothesis,
    ifeq(domain(a),domain(X1),compose(h,domain(X1)),compose(compose(h,domain(X1)),domain(X1))) = compose(compose(h,domain(X1)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1977,hypothesis,
    ifeq(domain(a),codomain(X1),compose(h,codomain(X1)),compose(compose(h,codomain(X1)),codomain(X1))) = compose(compose(h,codomain(X1)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1978,hypothesis,
    ifeq(domain(a),domain(X1),compose(g,domain(X1)),compose(compose(g,domain(X1)),domain(X1))) = compose(compose(g,domain(X1)),domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_91]),c_0_29]),c_0_45]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_1979,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(compose(h,a),a),X1,compose(h,a),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_49]),
    [final] ).

cnf(c_0_1980,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),compose(h,a),a,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_347,c_0_18]),
    [final] ).

cnf(c_0_1981,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(a,a),compose(g,a),a,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_348,c_0_18]),
    [final] ).

cnf(c_0_1982,hypothesis,
    ifeq(domain(a),codomain(X1),compose(g,codomain(X1)),compose(compose(g,codomain(X1)),codomain(X1))) = compose(compose(g,codomain(X1)),codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_90]),c_0_44]),c_0_30]),c_0_30]),c_0_19]),
    [final] ).

cnf(c_0_1983,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),X1,ifeq(b,X1,domain(b),a),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_1984,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(compose(g,a),a),X1,compose(g,a),domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_47]),
    [final] ).

cnf(c_0_1985,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(a,a),a,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_349,c_0_18]),
    [final] ).

cnf(c_0_1986,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(a,a),a,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_350,c_0_18]),
    [final] ).

cnf(c_0_1987,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(a,a),X1,a,domain(a)),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_88,c_0_18]),
    [final] ).

cnf(c_0_1988,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(h,a),X1,h,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_1989,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(b,compose(h,b),domain(b),h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1990,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(compose(g,a),X1,g,domain(a)),domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_1991,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(b,compose(g,b),domain(b),g),g),g) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1992,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(h,b),b,domain(b),h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1993,hypothesis,
    ifeq(domain(b),domain(a),ifeq(domain(a),domain(b),ifeq(compose(g,b),b,domain(b),g),g),g) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_1994,hypothesis,
    ifeq(domain(b),domain(a),compose(a,compose(a,b)),compose(compose(a,a),b)) = compose(compose(a,a),b),
    inference(spm,[status(thm)],[c_0_326,c_0_18]),
    [final] ).

cnf(c_0_1995,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(h,b),compose(domain(X1),b),h,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_118,c_0_29]),
    [final] ).

cnf(c_0_1996,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(h,b),compose(codomain(X1),b),h,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_118,c_0_44]),
    [final] ).

cnf(c_0_1997,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(g,b),compose(domain(X1),b),g,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_117,c_0_29]),
    [final] ).

cnf(c_0_1998,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(g,b),compose(codomain(X1),b),g,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_117,c_0_44]),
    [final] ).

cnf(c_0_1999,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(h,b),h,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_116,c_0_29]),
    [final] ).

cnf(c_0_2000,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(h,b),h,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_116,c_0_44]),
    [final] ).

cnf(c_0_2001,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),b),compose(g,b),g,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_115,c_0_29]),
    [final] ).

cnf(c_0_2002,hypothesis,
    ifeq(codomain(X1),domain(b),ifeq(compose(codomain(X1),b),compose(g,b),g,codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_115,c_0_44]),
    [final] ).

cnf(c_0_2003,hypothesis,
    ifeq(codomain(b),domain(a),codomain(compose(compose(h,compose(a,b)),compose(a,b))),codomain(b)) = codomain(b),
    inference(spm,[status(thm)],[c_0_394,c_0_51]),
    [final] ).

cnf(c_0_2004,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(b),domain(b),compose(a,b),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_395,c_0_37]),
    [final] ).

cnf(c_0_2005,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(h,a),compose(domain(X1),a),h,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_105,c_0_29]),
    [final] ).

cnf(c_0_2006,hypothesis,
    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))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_395,c_0_51]),
    [final] ).

cnf(c_0_2007,hypothesis,
    ifeq(compose(h,a),compose(domain(b),a),h,domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2008,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),compose(domain(X1),a),domain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_54,c_0_29]),
    [final] ).

cnf(c_0_2009,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(g,a),compose(domain(X1),a),g,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_106,c_0_29]),
    [final] ).

cnf(c_0_2010,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X2),domain(b),ifeq(compose(X2,a),compose(codomain(X1),a),codomain(X1),X2),X2),X2) = X2,
    inference(spm,[status(thm)],[c_0_54,c_0_44]),
    [final] ).

cnf(c_0_2011,hypothesis,
    ifeq(compose(g,a),compose(domain(b),a),g,domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2012,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(compose(a,b),a),compose(a,b),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_37]),
    [final] ).

cnf(c_0_2013,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(h,a),h,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_107,c_0_29]),
    [final] ).

cnf(c_0_2014,hypothesis,
    ifeq(codomain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(compose(h,compose(a,b)),a),compose(h,compose(a,b)),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_51]),
    [final] ).

cnf(c_0_2015,hypothesis,
    ifeq(compose(domain(b),a),compose(h,a),h,domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2016,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(compose(h,a),a),compose(h,a),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_49]),
    [final] ).

cnf(c_0_2017,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),compose(g,a),g,domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_108,c_0_29]),
    [final] ).

cnf(c_0_2018,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(compose(g,a),a),compose(g,a),X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_47]),
    [final] ).

cnf(c_0_2019,hypothesis,
    ifeq(compose(domain(b),a),compose(g,a),g,domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2020,hypothesis,
    ifeq(domain(b),domain(a),ifeq(codomain(X1),domain(b),ifeq(compose(X1,a),compose(a,a),a,X1),X1),X1) = X1,
    inference(spm,[status(thm)],[c_0_54,c_0_18]),
    [final] ).

cnf(c_0_2021,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),b),b,domain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_109,c_0_29]),
    [final] ).

cnf(c_0_2022,hypothesis,
    ifeq(compose(domain(a),b),b,domain(a),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2023,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(b,compose(domain(X1),b),domain(X1),domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_110,c_0_29]),
    [final] ).

cnf(c_0_2024,hypothesis,
    ifeq(b,compose(domain(a),b),domain(a),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2025,hypothesis,
    ifeq(domain(b),domain(a),compose(a,a),compose(compose(a,a),domain(b))) = compose(compose(a,a),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_95]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2026,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),h),compose(compose(domain(X1),h),domain(a))) = compose(compose(domain(X1),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_29]),
    [final] ).

cnf(c_0_2027,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),h),compose(compose(codomain(X1),h),domain(a))) = compose(compose(codomain(X1),h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_44]),
    [final] ).

cnf(c_0_2028,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),g),compose(compose(domain(X1),g),domain(a))) = compose(compose(domain(X1),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_29]),
    [final] ).

cnf(c_0_2029,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),g),compose(compose(codomain(X1),g),domain(a))) = compose(compose(codomain(X1),g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_44]),
    [final] ).

cnf(c_0_2030,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(a),compose(a,domain(X1))),compose(a,domain(X1))) = compose(a,domain(X1)),
    inference(spm,[status(thm)],[c_0_360,c_0_45]),
    [final] ).

cnf(c_0_2031,hypothesis,
    ifeq(domain(b),codomain(X1),compose(domain(a),compose(a,codomain(X1))),compose(a,codomain(X1))) = compose(a,codomain(X1)),
    inference(spm,[status(thm)],[c_0_360,c_0_30]),
    [final] ).

cnf(c_0_2032,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),X2,ifeq(a,X2,domain(a),domain(X1)),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_59,c_0_29]),
    [final] ).

cnf(c_0_2033,hypothesis,
    ifeq(compose(domain(b),a),X1,ifeq(a,X1,domain(a),domain(b)),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2034,hypothesis,
    ifeq(domain(b),domain(X1),compose(a,compose(domain(b),domain(X1))),compose(a,domain(X1))) = compose(a,domain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_95]),c_0_29]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2035,hypothesis,
    ifeq(domain(b),codomain(X1),compose(a,compose(domain(b),codomain(X1))),compose(a,codomain(X1))) = compose(a,codomain(X1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_95]),c_0_29]),c_0_18]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2036,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(a,b),a),X1,ifeq(a,X1,domain(a),compose(a,b)),compose(a,b)),compose(a,b)) = compose(a,b),
    inference(spm,[status(thm)],[c_0_59,c_0_37]),
    [final] ).

cnf(c_0_2037,hypothesis,
    ifeq(codomain(b),domain(b),ifeq(compose(compose(h,compose(a,b)),a),X1,ifeq(a,X1,domain(a),compose(h,compose(a,b))),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,compose(a,b)),
    inference(spm,[status(thm)],[c_0_59,c_0_51]),
    [final] ).

cnf(c_0_2038,hypothesis,
    ifeq(compose(compose(h,a),a),X1,ifeq(a,X1,domain(a),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2039,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_403,c_0_42]),
    [final] ).

cnf(c_0_2040,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,domain(h)),compose(h,a))) = compose(compose(h,domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2041,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,domain(h)),compose(g,a))) = compose(compose(h,domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2042,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,domain(h)),compose(h,a))) = compose(compose(g,domain(h)),compose(h,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_93]),c_0_29]),c_0_48]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2043,hypothesis,
    ifeq(compose(compose(g,a),a),X1,ifeq(a,X1,domain(a),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2044,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,domain(h)),compose(g,a))) = compose(compose(g,domain(h)),compose(g,a)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_102]),c_0_29]),c_0_46]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2045,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),g),compose(compose(compose(h,a),domain(h)),g)) = compose(compose(compose(h,a),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_49]),
    [final] ).

cnf(c_0_2046,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),g),compose(compose(compose(g,a),domain(h)),g)) = compose(compose(compose(g,a),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_47]),
    [final] ).

cnf(c_0_2047,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,X1,ifeq(a,X1,domain(a),domain(a)),domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2048,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(g,a),compose(domain(b),X1)),compose(compose(g,a),X1)) = compose(compose(g,a),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_317]),c_0_29]),c_0_47]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2049,plain,
    ifeq(domain(X1),domain(X2),compose(domain(X1),X2),compose(compose(domain(X1),X2),codomain(X2))) = compose(compose(domain(X1),X2),codomain(X2)),
    inference(spm,[status(thm)],[c_0_351,c_0_29]),
    [final] ).

cnf(c_0_2050,plain,
    ifeq(codomain(X1),domain(X2),compose(codomain(X1),X2),compose(compose(codomain(X1),X2),codomain(X2))) = compose(compose(codomain(X1),X2),codomain(X2)),
    inference(spm,[status(thm)],[c_0_351,c_0_44]),
    [final] ).

cnf(c_0_2051,hypothesis,
    ifeq(codomain(X1),domain(h),compose(X1,compose(g,a)),compose(compose(X1,compose(g,a)),domain(b))) = compose(compose(X1,compose(g,a)),domain(b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_317]),c_0_47]),c_0_45]),c_0_46]),c_0_19]),
    [final] ).

cnf(c_0_2052,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(g,b),X1,g,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_2053,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(g,b),X1,g,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2054,plain,
    ifeq(domain(X1),domain(X2),compose(domain(X1),X2),compose(compose(domain(X1),domain(X2)),X2)) = compose(compose(domain(X1),domain(X2)),X2),
    inference(spm,[status(thm)],[c_0_352,c_0_29]),
    [final] ).

cnf(c_0_2055,hypothesis,
    ifeq(compose(compose(h,a),a),X1,ifeq(compose(g,a),X1,g,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2056,hypothesis,
    ifeq(compose(compose(g,a),a),X1,ifeq(compose(g,a),X1,g,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2057,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,b),X1,h,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_2058,plain,
    ifeq(codomain(X1),domain(X2),compose(codomain(X1),X2),compose(compose(codomain(X1),domain(X2)),X2)) = compose(compose(codomain(X1),domain(X2)),X2),
    inference(spm,[status(thm)],[c_0_352,c_0_44]),
    [final] ).

cnf(c_0_2059,hypothesis,
    ifeq(compose(h,compose(a,b)),X1,ifeq(compose(h,b),X1,h,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2060,hypothesis,
    ifeq(compose(compose(h,a),a),X1,ifeq(compose(h,a),X1,h,compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2061,hypothesis,
    ifeq(compose(compose(g,a),a),X1,ifeq(compose(h,a),X1,h,compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2062,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(compose(g,a),a),X2,ifeq(compose(X1,a),X2,X1,compose(g,a)),compose(g,a)),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2063,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(h,compose(a,b)))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_404,c_0_42]),
    [final] ).

cnf(c_0_2064,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2065,hypothesis,
    ifeq(domain(a),domain(X1),compose(h,compose(domain(a),domain(X1))),compose(h,domain(X1))) = compose(h,domain(X1)),
    inference(spm,[status(thm)],[c_0_383,c_0_45]),
    [final] ).

cnf(c_0_2066,hypothesis,
    ifeq(domain(b),domain(X1),compose(compose(h,a),compose(domain(b),X1)),compose(compose(h,a),X1)) = compose(compose(h,a),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_99]),c_0_29]),c_0_49]),c_0_45]),c_0_19]),
    [final] ).

cnf(c_0_2067,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),g),compose(compose(domain(X1),domain(h)),g)) = compose(compose(domain(X1),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_29]),
    [final] ).

cnf(c_0_2068,hypothesis,
    ifeq(domain(a),codomain(X1),compose(h,compose(domain(a),codomain(X1))),compose(h,codomain(X1))) = compose(h,codomain(X1)),
    inference(spm,[status(thm)],[c_0_383,c_0_30]),
    [final] ).

cnf(c_0_2069,hypothesis,
    ifeq(domain(a),domain(X1),compose(g,compose(domain(a),domain(X1))),compose(g,domain(X1))) = compose(g,domain(X1)),
    inference(spm,[status(thm)],[c_0_384,c_0_45]),
    [final] ).

cnf(c_0_2070,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),g),compose(compose(codomain(X1),domain(h)),g)) = compose(compose(codomain(X1),domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_44]),
    [final] ).

cnf(c_0_2071,hypothesis,
    ifeq(domain(a),codomain(X1),compose(g,compose(domain(a),codomain(X1))),compose(g,codomain(X1))) = compose(g,codomain(X1)),
    inference(spm,[status(thm)],[c_0_384,c_0_30]),
    [final] ).

cnf(c_0_2072,hypothesis,
    ifeq(codomain(b),domain(a),domain(compose(compose(h,compose(a,b)),compose(a,b))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2073,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(h,compose(a,b)),X2,ifeq(compose(X1,b),X2,X1,compose(h,a)),compose(h,a)),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_49]),c_0_19]),c_0_92]),
    [final] ).

cnf(c_0_2074,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(h,a),compose(domain(b),g)),compose(compose(h,a),g)) = compose(compose(h,a),g),
    inference(spm,[status(thm)],[c_0_381,c_0_49]),
    [final] ).

cnf(c_0_2075,hypothesis,
    ifeq(domain(b),domain(h),compose(compose(g,a),compose(domain(b),g)),compose(compose(g,a),g)) = compose(compose(g,a),g),
    inference(spm,[status(thm)],[c_0_381,c_0_47]),
    [final] ).

cnf(c_0_2076,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2077,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(h,a))),compose(h,compose(h,a))) = compose(h,compose(h,a)),
    inference(spm,[status(thm)],[c_0_383,c_0_48]),
    [final] ).

cnf(c_0_2078,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(domain(a),compose(g,a))),compose(h,compose(g,a))) = compose(h,compose(g,a)),
    inference(spm,[status(thm)],[c_0_383,c_0_46]),
    [final] ).

cnf(c_0_2079,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(h,a))),compose(g,compose(h,a))) = compose(g,compose(h,a)),
    inference(spm,[status(thm)],[c_0_384,c_0_48]),
    [final] ).

cnf(c_0_2080,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(domain(a),compose(g,a))),compose(g,compose(g,a))) = compose(g,compose(g,a)),
    inference(spm,[status(thm)],[c_0_384,c_0_46]),
    [final] ).

cnf(c_0_2081,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2082,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(g,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_409,c_0_51]),
    [final] ).

cnf(c_0_2083,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),compose(h,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_410,c_0_51]),
    [final] ).

cnf(c_0_2084,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),b),compose(a,b),domain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_111,c_0_29]),
    [final] ).

cnf(c_0_2085,hypothesis,
    ifeq(domain(b),domain(X1),compose(domain(h),compose(compose(g,a),X1)),compose(compose(g,a),X1)) = compose(compose(g,a),X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_102]),c_0_29]),c_0_46]),c_0_19]),c_0_47]),
    [final] ).

cnf(c_0_2086,hypothesis,
    ifeq(compose(domain(a),b),compose(a,b),domain(a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2087,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(a,b),compose(domain(X1),b),domain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_112,c_0_29]),
    [final] ).

cnf(c_0_2088,hypothesis,
    ifeq(compose(a,b),compose(domain(a),b),domain(a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2089,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(domain(X1),a),compose(a,a),domain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_29]),
    [final] ).

cnf(c_0_2090,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(codomain(X1),a),compose(a,a),codomain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_379,c_0_44]),
    [final] ).

cnf(c_0_2091,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(compose(a,a),compose(domain(X1),a),domain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_29]),
    [final] ).

cnf(c_0_2092,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(compose(a,a),compose(codomain(X1),a),codomain(X1),a),a) = a,
    inference(spm,[status(thm)],[c_0_380,c_0_44]),
    [final] ).

cnf(c_0_2093,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(a,compose(domain(X1),a),domain(a),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_113,c_0_29]),
    [final] ).

cnf(c_0_2094,hypothesis,
    ifeq(a,compose(domain(b),a),domain(a),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_413,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2095,hypothesis,
    ifeq(domain(X1),domain(b),ifeq(compose(domain(X1),a),a,domain(a),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_114,c_0_29]),
    [final] ).

cnf(c_0_2096,hypothesis,
    ifeq(compose(domain(b),a),a,domain(a),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2097,hypothesis,
    ifeq(codomain(b),domain(h),compose(a,compose(b,g)),compose(compose(a,b),g)) = compose(compose(a,b),g),
    inference(spm,[status(thm)],[c_0_339,c_0_26]),
    [final] ).

cnf(c_0_2098,hypothesis,
    ifeq(domain(b),domain(h),compose(h,compose(a,g)),compose(compose(h,a),g)) = compose(compose(h,a),g),
    inference(spm,[status(thm)],[c_0_52,c_0_26]),
    [final] ).

cnf(c_0_2099,hypothesis,
    ifeq(domain(b),domain(h),compose(g,compose(a,g)),compose(compose(g,a),g)) = compose(compose(g,a),g),
    inference(spm,[status(thm)],[c_0_358,c_0_26]),
    [final] ).

cnf(c_0_2100,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[c_0_415,c_0_92]),
    [final] ).

cnf(c_0_2101,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[c_0_416,c_0_92]),
    [final] ).

cnf(c_0_2102,hypothesis,
    ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[c_0_417,c_0_92]),
    [final] ).

cnf(c_0_2103,hypothesis,
    ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[c_0_418,c_0_92]),
    [final] ).

cnf(c_0_2104,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),b,a,domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_109,c_0_18]),
    [final] ).

cnf(c_0_2105,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(a,b),a,domain(b)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_110,c_0_18]),
    [final] ).

cnf(c_0_2106,hypothesis,
    ifeq(codomain(b),codomain(X1),codomain(compose(compose(h,compose(a,b)),codomain(X1))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_419,c_0_51]),
    [final] ).

cnf(c_0_2107,hypothesis,
    ifeq(codomain(b),domain(a),codomain(compose(compose(a,b),compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2108,hypothesis,
    ifeq(codomain(b),domain(X1),codomain(compose(compose(h,compose(a,b)),domain(X1))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_420,c_0_51]),
    [final] ).

cnf(c_0_2109,hypothesis,
    ifeq(codomain(b),domain(a),domain(compose(compose(a,b),compose(a,b))),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2110,hypothesis,
    ifeq(domain(a),domain(X1),compose(domain(h),compose(h,domain(X1))),compose(h,domain(X1))) = compose(h,domain(X1)),
    inference(spm,[status(thm)],[c_0_387,c_0_45]),
    [final] ).

cnf(c_0_2111,hypothesis,
    ifeq(domain(a),codomain(X1),compose(domain(h),compose(h,codomain(X1))),compose(h,codomain(X1))) = compose(h,codomain(X1)),
    inference(spm,[status(thm)],[c_0_387,c_0_30]),
    [final] ).

cnf(c_0_2112,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2113,hypothesis,
    ifeq(domain(X1),domain(h),compose(domain(X1),compose(domain(X1),g)),compose(domain(X1),g)) = compose(domain(X1),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_45]),c_0_29]),
    [final] ).

cnf(c_0_2114,hypothesis,
    ifeq(codomain(X1),domain(h),compose(codomain(X1),compose(codomain(X1),g)),compose(codomain(X1),g)) = compose(codomain(X1),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_30]),c_0_44]),
    [final] ).

cnf(c_0_2115,hypothesis,
    ifeq(domain(a),domain(X1),compose(domain(h),compose(g,domain(X1))),compose(g,domain(X1))) = compose(g,domain(X1)),
    inference(spm,[status(thm)],[c_0_389,c_0_45]),
    [final] ).

cnf(c_0_2116,hypothesis,
    ifeq(domain(X1),domain(h),codomain(compose(domain(X1),compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2117,hypothesis,
    ifeq(domain(X1),domain(h),domain(compose(domain(X1),compose(h,compose(a,b)))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_42]),
    [final] ).

cnf(c_0_2118,hypothesis,
    ifeq(domain(a),codomain(X1),compose(domain(h),compose(g,codomain(X1))),compose(g,codomain(X1))) = compose(g,codomain(X1)),
    inference(spm,[status(thm)],[c_0_389,c_0_30]),
    [final] ).

cnf(c_0_2119,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(h,a)),compose(compose(a,h),a)) = compose(compose(a,h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_18]),
    [final] ).

cnf(c_0_2120,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(g,a)),compose(compose(a,g),a)) = compose(compose(a,g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_18]),
    [final] ).

cnf(c_0_2121,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(h,a)),compose(compose(h,h),a)) = compose(compose(h,h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_22]),
    [final] ).

cnf(c_0_2122,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(h,a)),compose(compose(g,h),a)) = compose(compose(g,h),a),
    inference(spm,[status(thm)],[c_0_359,c_0_25]),
    [final] ).

cnf(c_0_2123,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(g,a)),compose(compose(h,g),a)) = compose(compose(h,g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_22]),
    [final] ).

cnf(c_0_2124,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(g,a)),compose(compose(g,g),a)) = compose(compose(g,g),a),
    inference(spm,[status(thm)],[c_0_362,c_0_25]),
    [final] ).

cnf(c_0_2125,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(codomain(X1),compose(h,compose(a,b)))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_42]),
    [final] ).

cnf(c_0_2126,hypothesis,
    ifeq(domain(b),domain(X1),compose(a,X1),compose(compose(a,X1),codomain(X1))) = compose(compose(a,X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_18]),
    [final] ).

cnf(c_0_2127,hypothesis,
    ifeq(domain(a),domain(X1),compose(h,X1),compose(compose(h,X1),codomain(X1))) = compose(compose(h,X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_22]),
    [final] ).

cnf(c_0_2128,hypothesis,
    ifeq(domain(a),domain(X1),compose(g,X1),compose(compose(g,X1),codomain(X1))) = compose(compose(g,X1),codomain(X1)),
    inference(spm,[status(thm)],[c_0_351,c_0_25]),
    [final] ).

cnf(c_0_2129,hypothesis,
    ifeq(domain(b),domain(X1),compose(a,X1),compose(compose(a,domain(X1)),X1)) = compose(compose(a,domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_18]),
    [final] ).

cnf(c_0_2130,hypothesis,
    ifeq(domain(a),domain(X1),compose(h,X1),compose(compose(h,domain(X1)),X1)) = compose(compose(h,domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_22]),
    [final] ).

cnf(c_0_2131,hypothesis,
    ifeq(domain(a),domain(X1),compose(g,X1),compose(compose(g,domain(X1)),X1)) = compose(compose(g,domain(X1)),X1),
    inference(spm,[status(thm)],[c_0_352,c_0_25]),
    [final] ).

cnf(c_0_2132,hypothesis,
    ifeq(codomain(b),domain(X1),domain(compose(compose(h,compose(a,b)),domain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2133,hypothesis,
    ifeq(codomain(b),codomain(X1),domain(compose(compose(h,compose(a,b)),codomain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2134,plain,
    ifeq(codomain(X1),domain(X2),compose(X1,compose(codomain(X1),domain(X2))),compose(X1,domain(X2))) = compose(X1,domain(X2)),
    inference(spm,[status(thm)],[c_0_104,c_0_45]),
    [final] ).

cnf(c_0_2135,plain,
    ifeq(codomain(X1),codomain(X2),compose(X1,compose(codomain(X1),codomain(X2))),compose(X1,codomain(X2))) = compose(X1,codomain(X2)),
    inference(spm,[status(thm)],[c_0_104,c_0_30]),
    [final] ).

cnf(c_0_2136,plain,
    ifeq(codomain(X1),domain(X2),compose(domain(X1),compose(X1,domain(X2))),compose(X1,domain(X2))) = compose(X1,domain(X2)),
    inference(spm,[status(thm)],[c_0_98,c_0_45]),
    [final] ).

cnf(c_0_2137,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(compose(g,a),compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2138,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(h,a))),compose(h,compose(h,a))) = compose(h,compose(h,a)),
    inference(spm,[status(thm)],[c_0_387,c_0_48]),
    [final] ).

cnf(c_0_2139,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(h,compose(g,a))),compose(h,compose(g,a))) = compose(h,compose(g,a)),
    inference(spm,[status(thm)],[c_0_387,c_0_46]),
    [final] ).

cnf(c_0_2140,plain,
    ifeq(codomain(X1),codomain(X2),compose(domain(X1),compose(X1,codomain(X2))),compose(X1,codomain(X2))) = compose(X1,codomain(X2)),
    inference(spm,[status(thm)],[c_0_98,c_0_30]),
    [final] ).

cnf(c_0_2141,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(h,a),g)),compose(compose(h,a),g)) = compose(compose(h,a),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_2142,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(h),compose(compose(g,a),g)),compose(compose(g,a),g)) = compose(compose(g,a),g),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_2143,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(h,a))),compose(g,compose(h,a))) = compose(g,compose(h,a)),
    inference(spm,[status(thm)],[c_0_389,c_0_48]),
    [final] ).

cnf(c_0_2144,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(g,compose(g,a))),compose(g,compose(g,a))) = compose(g,compose(g,a)),
    inference(spm,[status(thm)],[c_0_389,c_0_46]),
    [final] ).

cnf(c_0_2145,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(compose(h,a),compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2146,hypothesis,
    ifeq(codomain(b),domain(a),codomain(compose(compose(h,compose(a,b)),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_427,c_0_51]),
    [final] ).

cnf(c_0_2147,hypothesis,
    ifeq(domain(b),domain(h),compose(a,h),compose(compose(a,h),domain(a))) = compose(compose(a,h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_18]),
    [final] ).

cnf(c_0_2148,hypothesis,
    ifeq(domain(b),domain(h),compose(a,g),compose(compose(a,g),domain(a))) = compose(compose(a,g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_18]),
    [final] ).

cnf(c_0_2149,hypothesis,
    ifeq(domain(X1),domain(a),ifeq(domain(X1),domain(b),domain(X1),domain(X1)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_395,c_0_29]),
    [final] ).

cnf(c_0_2150,hypothesis,
    ifeq(codomain(X1),domain(a),ifeq(codomain(X1),domain(b),codomain(X1),codomain(X1)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_395,c_0_44]),
    [final] ).

cnf(c_0_2151,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),a,h,domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2152,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),a,g,domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2153,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,compose(h,a),h,domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2154,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,compose(g,a),g,domain(a)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2155,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(g,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_409,c_0_37]),
    [final] ).

cnf(c_0_2156,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(a,X1,domain(a),h),h),h) = h,
    inference(spm,[status(thm)],[c_0_59,c_0_22]),
    [final] ).

cnf(c_0_2157,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),compose(h,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_410,c_0_37]),
    [final] ).

cnf(c_0_2158,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(a,X1,domain(a),g),g),g) = g,
    inference(spm,[status(thm)],[c_0_59,c_0_25]),
    [final] ).

cnf(c_0_2159,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(g,a))),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2160,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(a,b),compose(h,a))),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2161,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(a,compose(h,compose(a,b)))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_430,c_0_42]),
    [final] ).

cnf(c_0_2162,hypothesis,
    ifeq(domain(b),domain(a),domain(b),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_2163,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(X1,compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2164,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(a,compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2165,hypothesis,
    ifeq(domain(b),domain(a),ifeq(b,compose(a,b),domain(b),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2166,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(g,a))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2167,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),compose(h,a))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2168,hypothesis,
    ifeq(domain(b),domain(a),ifeq(compose(a,b),b,domain(b),a),a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_41]),c_0_29]),
    [final] ).

cnf(c_0_2169,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(h,compose(a,b)))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_431,c_0_42]),
    [final] ).

cnf(c_0_2170,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(h,compose(a,b)))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_432,c_0_42]),
    [final] ).

cnf(c_0_2171,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(X1,compose(h,compose(a,b)))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_42]),
    [final] ).

cnf(c_0_2172,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(g,b),X1,g,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_370,c_0_25]),
    [final] ).

cnf(c_0_2173,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(g,a),X1,g,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_371,c_0_25]),
    [final] ).

cnf(c_0_2174,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(g,b),X1,g,h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2175,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(g,a),X1,g,h),h),h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2176,hypothesis,
    ifeq(domain(b),domain(a),domain(compose(compose(g,a),compose(a,b))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_431,c_0_43]),
    [final] ).

cnf(c_0_2177,hypothesis,
    ifeq(domain(b),domain(a),domain(compose(compose(h,a),compose(a,b))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_432,c_0_43]),
    [final] ).

cnf(c_0_2178,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),X1,ifeq(compose(h,b),X1,h,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_374,c_0_22]),
    [final] ).

cnf(c_0_2179,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),X1,ifeq(compose(h,b),X1,h,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_374,c_0_25]),
    [final] ).

cnf(c_0_2180,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),X1,ifeq(compose(h,a),X1,h,h),h),h) = h,
    inference(spm,[status(thm)],[c_0_375,c_0_22]),
    [final] ).

cnf(c_0_2181,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),X1,ifeq(compose(h,a),X1,h,g),g),g) = g,
    inference(spm,[status(thm)],[c_0_375,c_0_25]),
    [final] ).

cnf(c_0_2182,hypothesis,
    ifeq(codomain(X1),domain(a),codomain(compose(codomain(X1),compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2183,hypothesis,
    ifeq(domain(X1),domain(a),codomain(compose(domain(X1),compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2184,hypothesis,
    ifeq(codomain(b),domain(X1),domain(compose(compose(a,b),domain(X1))),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2185,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(g,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_409,c_0_49]),
    [final] ).

cnf(c_0_2186,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(g,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_409,c_0_47]),
    [final] ).

cnf(c_0_2187,hypothesis,
    ifeq(compose(h,b),compose(h,compose(a,b)),h,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2188,hypothesis,
    ifeq(codomain(b),codomain(X1),domain(compose(compose(a,b),codomain(X1))),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2189,hypothesis,
    ifeq(compose(g,b),compose(h,compose(a,b)),g,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2190,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(h,b),h,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2191,hypothesis,
    ifeq(compose(h,compose(a,b)),compose(g,b),g,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_82]),c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2192,hypothesis,
    ifeq(compose(h,a),compose(compose(h,a),a),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2193,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(g,b),h,g),g) = g,
    inference(spm,[status(thm)],[c_0_118,c_0_25]),
    [final] ).

cnf(c_0_2194,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,b),g,h),h) = h,
    inference(spm,[status(thm)],[c_0_117,c_0_22]),
    [final] ).

cnf(c_0_2195,hypothesis,
    ifeq(compose(h,a),compose(compose(g,a),a),h,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2196,hypothesis,
    ifeq(compose(g,a),compose(compose(h,a),a),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2197,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,b),compose(h,b),h,g),g) = g,
    inference(spm,[status(thm)],[c_0_116,c_0_25]),
    [final] ).

cnf(c_0_2198,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,b),compose(g,b),g,h),h) = h,
    inference(spm,[status(thm)],[c_0_115,c_0_22]),
    [final] ).

cnf(c_0_2199,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(g,a),h,g),g) = g,
    inference(spm,[status(thm)],[c_0_105,c_0_25]),
    [final] ).

cnf(c_0_2200,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(h,a),g,h),h) = h,
    inference(spm,[status(thm)],[c_0_106,c_0_22]),
    [final] ).

cnf(c_0_2201,hypothesis,
    ifeq(compose(g,a),compose(compose(g,a),a),g,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2202,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(h,a),compose(h,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_410,c_0_49]),
    [final] ).

cnf(c_0_2203,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(g,a),compose(h,a))),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_410,c_0_47]),
    [final] ).

cnf(c_0_2204,hypothesis,
    ifeq(compose(compose(h,a),a),compose(h,a),h,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2205,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),compose(h,a),h,g),g) = g,
    inference(spm,[status(thm)],[c_0_107,c_0_25]),
    [final] ).

cnf(c_0_2206,hypothesis,
    ifeq(compose(compose(g,a),a),compose(h,a),h,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2207,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_51]),
    [final] ).

cnf(c_0_2208,hypothesis,
    ifeq(compose(compose(h,a),a),compose(g,a),g,compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2209,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),compose(g,a),g,h),h) = h,
    inference(spm,[status(thm)],[c_0_108,c_0_22]),
    [final] ).

cnf(c_0_2210,hypothesis,
    ifeq(compose(compose(g,a),a),compose(g,a),g,compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2211,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(g,compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2212,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(h,compose(a,b)),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_51]),
    [final] ).

cnf(c_0_2213,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(h,compose(h,compose(a,b)))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_51]),c_0_42]),
    [final] ).

cnf(c_0_2214,hypothesis,
    ifeq(codomain(b),codomain(X1),codomain(compose(compose(a,b),codomain(X1))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_419,c_0_37]),
    [final] ).

cnf(c_0_2215,hypothesis,
    ifeq(domain(b),codomain(X1),codomain(compose(compose(h,a),codomain(X1))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_419,c_0_49]),
    [final] ).

cnf(c_0_2216,hypothesis,
    ifeq(domain(b),codomain(X1),codomain(compose(compose(g,a),codomain(X1))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_419,c_0_47]),
    [final] ).

cnf(c_0_2217,hypothesis,
    ifeq(codomain(b),domain(X1),codomain(compose(compose(a,b),domain(X1))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_420,c_0_37]),
    [final] ).

cnf(c_0_2218,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(compose(h,a),domain(X1))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_420,c_0_49]),
    [final] ).

cnf(c_0_2219,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(compose(g,a),domain(X1))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_420,c_0_47]),
    [final] ).

cnf(c_0_2220,hypothesis,
    ifeq(domain(X1),domain(a),domain(compose(domain(X1),compose(a,b))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_43]),
    [final] ).

cnf(c_0_2221,hypothesis,
    ifeq(codomain(X1),domain(a),domain(compose(codomain(X1),compose(a,b))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_43]),
    [final] ).

cnf(c_0_2222,hypothesis,
    ifeq(codomain(b),domain(a),codomain(compose(compose(a,b),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_427,c_0_37]),
    [final] ).

cnf(c_0_2223,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(codomain(X1),compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_2224,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(codomain(X1),compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_2225,hypothesis,
    ifeq(domain(X1),domain(h),codomain(compose(domain(X1),compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_2226,hypothesis,
    ifeq(domain(X1),domain(h),codomain(compose(domain(X1),compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_2227,hypothesis,
    ifeq(domain(b),domain(a),domain(compose(a,compose(a,b))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_430,c_0_43]),
    [final] ).

cnf(c_0_2228,hypothesis,
    ifeq(domain(X1),domain(h),domain(compose(domain(X1),compose(h,a))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_48]),
    [final] ).

cnf(c_0_2229,hypothesis,
    ifeq(domain(X1),domain(h),domain(compose(domain(X1),compose(g,a))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_46]),
    [final] ).

cnf(c_0_2230,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(codomain(X1),compose(g,a))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_46]),
    [final] ).

cnf(c_0_2231,hypothesis,
    ifeq(domain(b),domain(h),compose(a,g),compose(compose(a,domain(h)),g)) = compose(compose(a,domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_18]),
    [final] ).

cnf(c_0_2232,hypothesis,
    ifeq(domain(a),domain(h),compose(h,h),compose(compose(h,h),domain(a))) = compose(compose(h,h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_22]),
    [final] ).

cnf(c_0_2233,hypothesis,
    ifeq(domain(a),domain(h),compose(g,h),compose(compose(g,h),domain(a))) = compose(compose(g,h),domain(a)),
    inference(spm,[status(thm)],[c_0_365,c_0_25]),
    [final] ).

cnf(c_0_2234,hypothesis,
    ifeq(domain(a),domain(h),compose(h,g),compose(compose(h,g),domain(a))) = compose(compose(h,g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_22]),
    [final] ).

cnf(c_0_2235,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(a,compose(a,b))),codomain(b)) = codomain(b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_37]),c_0_16]),c_0_22]),
    [final] ).

cnf(c_0_2236,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(codomain(X1),compose(h,a))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_48]),
    [final] ).

cnf(c_0_2237,hypothesis,
    ifeq(domain(a),domain(h),compose(g,g),compose(compose(g,g),domain(a))) = compose(compose(g,g),domain(a)),
    inference(spm,[status(thm)],[c_0_366,c_0_25]),
    [final] ).

cnf(c_0_2238,hypothesis,
    ifeq(a,compose(compose(h,a),a),domain(a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2239,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,compose(h,a),domain(a),h),h) = h,
    inference(spm,[status(thm)],[c_0_113,c_0_22]),
    [final] ).

cnf(c_0_2240,hypothesis,
    ifeq(domain(a),domain(b),ifeq(a,compose(g,a),domain(a),g),g) = g,
    inference(spm,[status(thm)],[c_0_113,c_0_25]),
    [final] ).

cnf(c_0_2241,hypothesis,
    ifeq(a,compose(compose(g,a),a),domain(a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2242,hypothesis,
    ifeq(compose(compose(h,a),a),a,domain(a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2243,hypothesis,
    ifeq(compose(compose(g,a),a),a,domain(a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2244,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(h,a),a,domain(a),h),h) = h,
    inference(spm,[status(thm)],[c_0_114,c_0_22]),
    [final] ).

cnf(c_0_2245,hypothesis,
    ifeq(domain(a),domain(b),ifeq(compose(g,a),a,domain(a),g),g) = g,
    inference(spm,[status(thm)],[c_0_114,c_0_25]),
    [final] ).

cnf(c_0_2246,hypothesis,
    ifeq(domain(a),domain(h),compose(h,g),compose(compose(h,domain(h)),g)) = compose(compose(h,domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_22]),
    [final] ).

cnf(c_0_2247,hypothesis,
    ifeq(domain(a),domain(b),domain(a),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_41]),c_0_29]),c_0_19]),
    [final] ).

cnf(c_0_2248,hypothesis,
    ifeq(domain(a),domain(h),compose(g,g),compose(compose(g,domain(h)),g)) = compose(compose(g,domain(h)),g),
    inference(spm,[status(thm)],[c_0_377,c_0_25]),
    [final] ).

cnf(c_0_2249,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(compose(h,a),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_427,c_0_49]),
    [final] ).

cnf(c_0_2250,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(compose(g,a),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_427,c_0_47]),
    [final] ).

cnf(c_0_2251,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(compose(h,a),domain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_2252,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(compose(g,a),domain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_2253,hypothesis,
    ifeq(domain(b),codomain(X1),domain(compose(compose(g,a),codomain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_47]),c_0_46]),c_0_46]),
    [final] ).

cnf(c_0_2254,hypothesis,
    ifeq(domain(b),codomain(X1),domain(compose(compose(h,a),codomain(X1))),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_2255,hypothesis,
    ifeq(domain(b),domain(h),compose(a,compose(domain(b),g)),compose(a,g)) = compose(a,g),
    inference(spm,[status(thm)],[c_0_381,c_0_18]),
    [final] ).

cnf(c_0_2256,hypothesis,
    ifeq(domain(b),domain(h),compose(domain(a),compose(a,g)),compose(a,g)) = compose(a,g),
    inference(spm,[status(thm)],[c_0_388,c_0_18]),
    [final] ).

cnf(c_0_2257,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(h,g)),compose(h,g)) = compose(h,g),
    inference(spm,[status(thm)],[c_0_388,c_0_22]),
    [final] ).

cnf(c_0_2258,hypothesis,
    ifeq(domain(a),domain(h),compose(domain(h),compose(g,g)),compose(g,g)) = compose(g,g),
    inference(spm,[status(thm)],[c_0_389,c_0_26]),
    [final] ).

cnf(c_0_2259,hypothesis,
    ifeq(domain(a),domain(h),compose(h,compose(domain(a),g)),compose(h,g)) = compose(h,g),
    inference(spm,[status(thm)],[c_0_383,c_0_26]),
    [final] ).

cnf(c_0_2260,hypothesis,
    ifeq(codomain(X1),domain(a),codomain(compose(codomain(X1),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_421,c_0_18]),
    [final] ).

cnf(c_0_2261,hypothesis,
    ifeq(b,compose(h,b),h,domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_435,c_0_19]),
    [final] ).

cnf(c_0_2262,hypothesis,
    ifeq(compose(h,b),b,h,domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_19,c_0_435]),
    [final] ).

cnf(c_0_2263,hypothesis,
    ifeq(b,compose(g,b),g,domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_436,c_0_19]),
    [final] ).

cnf(c_0_2264,hypothesis,
    ifeq(compose(g,b),b,g,domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_19,c_0_436]),
    [final] ).

cnf(c_0_2265,hypothesis,
    ifeq(domain(X1),domain(a),codomain(compose(domain(X1),a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_422,c_0_18]),
    [final] ).

cnf(c_0_2266,hypothesis,
    ifeq(domain(b),domain(X1),domain(compose(a,domain(X1))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_425,c_0_18]),
    [final] ).

cnf(c_0_2267,hypothesis,
    ifeq(domain(b),codomain(X1),domain(compose(a,codomain(X1))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_426,c_0_18]),
    [final] ).

cnf(c_0_2268,hypothesis,
    ifeq(domain(a),domain(h),compose(g,compose(domain(a),g)),compose(g,g)) = compose(g,g),
    inference(spm,[status(thm)],[c_0_384,c_0_26]),
    [final] ).

cnf(c_0_2269,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(a,compose(h,a))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_430,c_0_48]),
    [final] ).

cnf(c_0_2270,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(a,compose(g,a))),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_430,c_0_46]),
    [final] ).

cnf(c_0_2271,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(a,b),g)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_43]),c_0_37]),
    [final] ).

cnf(c_0_2272,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_37]),
    [final] ).

cnf(c_0_2273,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(a,compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_2274,hypothesis,
    ifeq(codomain(b),domain(h),codomain(compose(compose(a,b),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_37]),
    [final] ).

cnf(c_0_2275,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(a,compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_2276,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(h,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_431,c_0_48]),
    [final] ).

cnf(c_0_2277,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(g,a),compose(g,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_431,c_0_46]),
    [final] ).

cnf(c_0_2278,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(h,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_432,c_0_48]),
    [final] ).

cnf(c_0_2279,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(h,a),compose(g,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_432,c_0_46]),
    [final] ).

cnf(c_0_2280,hypothesis,
    ifeq(codomain(b),domain(h),domain(compose(compose(h,compose(a,b)),g)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_42]),c_0_36]),c_0_37]),
    [final] ).

cnf(c_0_2281,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(g,compose(h,compose(a,b)))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_42]),
    [final] ).

cnf(c_0_2282,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(h,compose(h,compose(a,b)))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_42]),
    [final] ).

cnf(c_0_2283,plain,
    ifeq(codomain(X1),codomain(X2),codomain(compose(codomain(X1),codomain(X2))),codomain(X2)) = codomain(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_2284,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(h,a),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_49]),
    [final] ).

cnf(c_0_2285,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(g,a),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_47]),
    [final] ).

cnf(c_0_2286,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(g,compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_2287,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(g,a),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_47]),
    [final] ).

cnf(c_0_2288,plain,
    ifeq(domain(X1),codomain(X2),codomain(compose(domain(X1),codomain(X2))),codomain(X2)) = codomain(X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_2289,plain,
    ifeq(domain(X1),domain(X2),codomain(compose(domain(X1),domain(X2))),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_420,c_0_29]),
    [final] ).

cnf(c_0_2290,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(h,compose(g,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_46]),
    [final] ).

cnf(c_0_2291,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(g,compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_2292,hypothesis,
    ifeq(compose(a,b),compose(h,b),h,a) = a,
    inference(spm,[status(thm)],[c_0_438,c_0_19]),
    [final] ).

cnf(c_0_2293,hypothesis,
    ifeq(compose(h,b),compose(a,b),h,a) = a,
    inference(spm,[status(thm)],[c_0_19,c_0_438]),
    [final] ).

cnf(c_0_2294,plain,
    ifeq(codomain(X1),domain(X2),codomain(compose(codomain(X1),domain(X2))),domain(X2)) = domain(X2),
    inference(spm,[status(thm)],[c_0_420,c_0_44]),
    [final] ).

cnf(c_0_2295,hypothesis,
    ifeq(compose(a,b),compose(g,b),g,a) = a,
    inference(spm,[status(thm)],[c_0_439,c_0_19]),
    [final] ).

cnf(c_0_2296,hypothesis,
    ifeq(compose(g,b),compose(a,b),g,a) = a,
    inference(spm,[status(thm)],[c_0_19,c_0_439]),
    [final] ).

cnf(c_0_2297,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(compose(h,a),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_49]),
    [final] ).

cnf(c_0_2298,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(h,compose(h,a))),domain(b)) = domain(b),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_48]),
    [final] ).

cnf(c_0_2299,hypothesis,
    ifeq(compose(a,a),compose(h,a),h,a) = a,
    inference(spm,[status(thm)],[c_0_440,c_0_19]),
    [final] ).

cnf(c_0_2300,hypothesis,
    ifeq(compose(h,a),compose(a,a),h,a) = a,
    inference(spm,[status(thm)],[c_0_19,c_0_440]),
    [final] ).

cnf(c_0_2301,hypothesis,
    ifeq(compose(a,a),compose(g,a),g,a) = a,
    inference(spm,[status(thm)],[c_0_441,c_0_19]),
    [final] ).

cnf(c_0_2302,hypothesis,
    ifeq(compose(g,a),compose(a,a),g,a) = a,
    inference(spm,[status(thm)],[c_0_19,c_0_441]),
    [final] ).

cnf(c_0_2303,plain,
    ifeq(domain(X1),domain(X2),domain(compose(domain(X1),domain(X2))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_45]),
    [final] ).

cnf(c_0_2304,plain,
    ifeq(domain(X1),codomain(X2),domain(compose(domain(X1),codomain(X2))),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_30]),
    [final] ).

cnf(c_0_2305,plain,
    ifeq(codomain(X1),domain(X2),domain(compose(codomain(X1),domain(X2))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_45]),
    [final] ).

cnf(c_0_2306,plain,
    ifeq(codomain(X1),codomain(X2),domain(compose(codomain(X1),codomain(X2))),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_30]),
    [final] ).

cnf(c_0_2307,hypothesis,
    ifeq(compose(a,a),a,domain(a),a) = a,
    inference(spm,[status(thm)],[c_0_442,c_0_19]),
    [final] ).

cnf(c_0_2308,hypothesis,
    ifeq(a,compose(a,a),domain(a),a) = a,
    inference(spm,[status(thm)],[c_0_19,c_0_442]),
    [final] ).

cnf(c_0_2309,hypothesis,
    ifeq(domain(a),domain(X1),codomain(compose(g,domain(X1))),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_29]),c_0_45]),
    [final] ).

cnf(c_0_2310,hypothesis,
    ifeq(domain(a),codomain(X1),codomain(compose(g,codomain(X1))),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_2311,hypothesis,
    ifeq(domain(X1),domain(h),codomain(compose(domain(X1),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_29]),
    [final] ).

cnf(c_0_2312,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(codomain(X1),g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_433,c_0_44]),
    [final] ).

cnf(c_0_2313,hypothesis,
    ifeq(domain(X1),domain(h),codomain(compose(domain(X1),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_29]),
    [final] ).

cnf(c_0_2314,hypothesis,
    ifeq(codomain(X1),domain(h),codomain(compose(codomain(X1),h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_44]),
    [final] ).

cnf(c_0_2315,hypothesis,
    ifeq(domain(b),domain(a),codomain(compose(a,a)),domain(b)) = domain(b),
    inference(spm,[status(thm)],[c_0_27,c_0_18]),
    [final] ).

cnf(c_0_2316,hypothesis,
    ifeq(domain(a),domain(X1),codomain(compose(h,domain(X1))),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_45]),
    [final] ).

cnf(c_0_2317,hypothesis,
    ifeq(domain(a),codomain(X1),codomain(compose(h,codomain(X1))),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_2318,hypothesis,
    ifeq(domain(X1),domain(h),domain(compose(domain(X1),g)),domain(X1)) = domain(X1),
    inference(spm,[status(thm)],[c_0_423,c_0_26]),
    [final] ).

cnf(c_0_2319,hypothesis,
    ifeq(domain(b),domain(X1),codomain(compose(a,domain(X1))),domain(X1)) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_29]),c_0_45]),
    [final] ).

cnf(c_0_2320,hypothesis,
    ifeq(domain(b),domain(a),compose(h,a),compose(h,a)) = compose(h,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_49]),c_0_19]),
    [final] ).

cnf(c_0_2321,hypothesis,
    ifeq(domain(b),domain(a),compose(g,a),compose(g,a)) = compose(g,a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_47]),c_0_19]),
    [final] ).

cnf(c_0_2322,hypothesis,
    ifeq(domain(b),domain(a),a,a) = a,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_18]),c_0_19]),
    [final] ).

cnf(c_0_2323,hypothesis,
    ifeq(domain(a),domain(b),h,h) = h,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_22]),c_0_19]),
    [final] ).

cnf(c_0_2324,hypothesis,
    ifeq(domain(a),domain(b),g,g) = g,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_25]),c_0_19]),
    [final] ).

cnf(c_0_2325,hypothesis,
    ifeq(domain(b),codomain(X1),codomain(compose(a,codomain(X1))),codomain(X1)) = codomain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_44]),c_0_30]),
    [final] ).

cnf(c_0_2326,hypothesis,
    ifeq(codomain(X1),domain(h),domain(compose(codomain(X1),g)),codomain(X1)) = codomain(X1),
    inference(spm,[status(thm)],[c_0_424,c_0_26]),
    [final] ).

cnf(c_0_2327,hypothesis,
    ifeq(domain(a),domain(X1),domain(compose(g,domain(X1))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_45]),
    [final] ).

cnf(c_0_2328,hypothesis,
    ifeq(domain(a),codomain(X1),domain(compose(g,codomain(X1))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_30]),
    [final] ).

cnf(c_0_2329,hypothesis,
    ifeq(domain(a),domain(X1),domain(compose(h,domain(X1))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_45]),
    [final] ).

cnf(c_0_2330,hypothesis,
    ifeq(domain(a),codomain(X1),domain(compose(h,codomain(X1))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_30]),
    [final] ).

cnf(c_0_2331,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(a,g)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_437,c_0_18]),
    [final] ).

cnf(c_0_2332,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(h,a),g)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_48]),c_0_49]),
    [final] ).

cnf(c_0_2333,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(a,h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_27,c_0_22]),
    [final] ).

cnf(c_0_2334,hypothesis,
    ifeq(domain(b),domain(h),codomain(compose(a,g)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26]),
    [final] ).

cnf(c_0_2335,hypothesis,
    ifeq(domain(b),domain(h),domain(compose(compose(g,a),g)),domain(h)) = domain(h),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_46]),c_0_47]),
    [final] ).

cnf(c_0_2336,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(g,compose(g,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_46]),
    [final] ).

cnf(c_0_2337,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(h,compose(g,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_46]),
    [final] ).

cnf(c_0_2338,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(g,compose(h,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_48]),
    [final] ).

cnf(c_0_2339,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(h,compose(h,a))),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_48]),
    [final] ).

cnf(c_0_2340,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(g,g)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26]),
    [final] ).

cnf(c_0_2341,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(g,h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_434,c_0_25]),
    [final] ).

cnf(c_0_2342,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(h,h)),domain(a)) = domain(a),
    inference(spm,[status(thm)],[c_0_34,c_0_22]),
    [final] ).

cnf(c_0_2343,hypothesis,
    ifeq(domain(a),domain(h),codomain(compose(h,g)),domain(a)) = domain(a),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_25]),c_0_26]),
    [final] ).

cnf(c_0_2344,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(g,g)),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_31,c_0_26]),
    [final] ).

cnf(c_0_2345,hypothesis,
    ifeq(domain(a),domain(h),domain(compose(h,g)),domain(h)) = domain(h),
    inference(spm,[status(thm)],[c_0_33,c_0_26]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : CAT002-10 : TPTP v9.2.1. Released v7.3.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32  % Computer : n025.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Tue May  5 10:47:28 EDT 2026
% 0.16/0.32  % CPUTime    : 
% 0.16/0.33  % start to proof: theBenchmark
% 6.02/4.57  % Version  : CSE_E---1.7
% 6.02/4.57  % Problem  : theBenchmark.p
% 6.02/4.57  % SZS status Satisfiable for theBenchmark.p
% 6.02/4.57  % SZS output start Saturation
% See solution above
% 6.12/4.60  % Total time : 3.371s
%------------------------------------------------------------------------------