%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT002-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:07:57 PM UTC 2026
% Result : Satisfiable 3.70s 6.12s
% Output : Saturation 3.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_67ERROR: Could not build tree for root c_0_97ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_17,plain,
( codomain(X1) != domain(X2)
| domain(compose(X1,X2)) = domain(X1) ),
c_0_14,
[final] ).
cnf(c_0_18,hypothesis,
codomain(a) = domain(b),
codomain_of_a_equals_domain_of_b,
[final] ).
cnf(c_0_20,hypothesis,
( domain(b) != domain(X1)
| domain(compose(a,X1)) = domain(a) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]),
[final] ).
cnf(c_0_23,hypothesis,
codomain(h) = domain(a),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_20]),c_0_16]),
[final] ).
cnf(c_0_25,plain,
( codomain(X1) != domain(X2)
| codomain(compose(X1,X2)) = codomain(X2) ),
c_0_21,
[final] ).
cnf(c_0_27,hypothesis,
domain(compose(a,b)) = domain(a),
inference(rw,[status(thm)],[c_0_16,c_0_23]),
[final] ).
cnf(c_0_28,hypothesis,
compose(h,compose(a,b)) = compose(g,compose(a,b)),
h_ab_equals_g_ab,
[final] ).
cnf(c_0_29,axiom,
domain(codomain(X1)) = codomain(X1),
domain_of_codomain_is_codomain,
[final] ).
cnf(c_0_30,axiom,
codomain(domain(X1)) = domain(X1),
codomain_of_domain_is_domain,
[final] ).
cnf(c_0_31,plain,
( codomain(X2) != domain(X3)
| codomain(X1) != domain(X2)
| compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3) ),
c_0_24,
[final] ).
cnf(c_0_33,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(a,X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_18]),
[final] ).
cnf(c_0_34,hypothesis,
( domain(a) != domain(X1)
| domain(compose(h,X1)) = domain(h) ),
inference(spm,[status(thm)],[c_0_17,c_0_23]),
[final] ).
cnf(c_0_36,plain,
domain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]),
[final] ).
cnf(c_0_39,plain,
( codomain(X1) != domain(X2)
| codomain(X2) != codomain(X3)
| compose(compose(X1,X2),codomain(X3)) = compose(X1,compose(X2,codomain(X3))) ),
inference(spm,[status(thm)],[c_0_31,c_0_29]),
[final] ).
cnf(c_0_40,hypothesis,
( domain(a) != domain(X1)
| codomain(compose(g,X1)) = codomain(X1) ),
inference(rw,[status(thm)],[c_0_32,c_0_23]),
[final] ).
cnf(c_0_41,hypothesis,
codomain(compose(a,b)) = codomain(b),
inference(er,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_42,hypothesis,
domain(g) = domain(h),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_27]),c_0_35]),
[final] ).
cnf(c_0_43,plain,
codomain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_30,c_0_29]),
[final] ).
cnf(c_0_45,hypothesis,
( domain(a) != domain(X1)
| codomain(compose(h,X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]),
[final] ).
cnf(c_0_46,plain,
( codomain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(X1,domain(X2)),X3) = compose(X1,compose(domain(X2),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_47,hypothesis,
codomain(g) = domain(a),
inference(rw,[status(thm)],[c_0_19,c_0_23]),
[final] ).
cnf(c_0_50,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(X1,a),X2) = compose(X1,compose(a,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_18]),
[final] ).
cnf(c_0_51,plain,
( codomain(X1) != domain(X2)
| domain(X2) != codomain(X3)
| compose(compose(X1,domain(X2)),codomain(X3)) = compose(X1,compose(domain(X2),codomain(X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_52,hypothesis,
codomain(compose(h,compose(a,b))) = codomain(b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_28]),c_0_41]),
[final] ).
cnf(c_0_53,hypothesis,
domain(compose(h,compose(a,b))) = domain(h),
inference(rw,[status(thm)],[c_0_35,c_0_42]),
[final] ).
cnf(c_0_54,axiom,
compose(domain(X1),X1) = X1,
domain_composition,
[final] ).
cnf(c_0_55,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(X1,codomain(X2)),X3) = compose(X1,compose(codomain(X2),X3)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_56,hypothesis,
domain(compose(g,a)) = domain(h),
inference(rw,[status(thm)],[c_0_44,c_0_42]),
[final] ).
cnf(c_0_57,hypothesis,
domain(compose(h,a)) = domain(h),
inference(er,[status(thm)],[c_0_34]),
[final] ).
cnf(c_0_58,hypothesis,
codomain(compose(h,a)) = domain(b),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_45]),c_0_18]),
[final] ).
cnf(c_0_59,hypothesis,
codomain(compose(g,a)) = domain(b),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_40]),c_0_18]),
[final] ).
cnf(c_0_60,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),X2) = compose(a,compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_18]),
[final] ).
cnf(c_0_61,hypothesis,
( domain(X1) != domain(X2)
| domain(a) != domain(X1)
| compose(compose(h,domain(X1)),X2) = compose(h,compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_23]),
[final] ).
cnf(c_0_62,hypothesis,
( domain(X1) != domain(X2)
| domain(a) != domain(X1)
| compose(compose(g,domain(X1)),X2) = compose(g,compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]),
[final] ).
cnf(c_0_63,axiom,
compose(X1,codomain(X1)) = X1,
codomain_composition,
[final] ).
cnf(c_0_64,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(X1,b) != compose(X2,b)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_48]),
[final] ).
cnf(c_0_65,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(X1,a) != compose(X2,a)
| X1 = X2 ),
inference(er,[status(thm)],[c_0_49]),
[final] ).
cnf(c_0_66,hypothesis,
( domain(b) != domain(X1)
| compose(compose(h,a),X1) = compose(h,compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_23]),
[final] ).
cnf(c_0_68,plain,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(X3)
| compose(compose(X1,X2),domain(X3)) = compose(X1,compose(X2,domain(X3))) ),
inference(spm,[status(thm)],[c_0_31,c_0_36]),
[final] ).
cnf(c_0_69,hypothesis,
( domain(X1) != codomain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(X2)) = compose(compose(h,compose(a,b)),compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]),
[final] ).
cnf(c_0_70,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,X2),compose(h,compose(a,b))) = compose(X1,compose(X2,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_53]),
[final] ).
cnf(c_0_71,hypothesis,
( domain(X1) != codomain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(a,b),domain(X1)),codomain(X2)) = compose(compose(a,b),compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_41]),
[final] ).
cnf(c_0_72,plain,
( domain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(domain(X1),domain(X2)),X3) = compose(domain(X1),compose(domain(X2),X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_30]),
[final] ).
cnf(c_0_73,hypothesis,
( domain(X1) != domain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),domain(X1)),X2) = compose(compose(h,compose(a,b)),compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]),
[final] ).
cnf(c_0_75,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(X1,codomain(X2)),compose(a,b)) = compose(X1,compose(codomain(X2),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_55,c_0_27]),
[final] ).
cnf(c_0_76,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,X2),compose(g,a)) = compose(X1,compose(X2,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_31,c_0_56]),
[final] ).
cnf(c_0_77,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,X2),compose(h,a)) = compose(X1,compose(X2,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_31,c_0_57]),
[final] ).
cnf(c_0_78,hypothesis,
( domain(X1) != domain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(a,b),domain(X1)),X2) = compose(compose(a,b),compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_41]),
[final] ).
cnf(c_0_79,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),X2) = compose(compose(h,a),compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_58]),
[final] ).
cnf(c_0_80,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),X2) = compose(compose(g,a),compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_59]),
[final] ).
cnf(c_0_81,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(X1,compose(h,a)),X2) = compose(X1,compose(compose(h,a),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_82,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(X1,compose(g,a)),X2) = compose(X1,compose(compose(g,a),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_83,hypothesis,
( domain(b) != domain(X1)
| compose(compose(g,a),X1) = compose(g,compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_47]),
[final] ).
cnf(c_0_84,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),X2) = compose(a,compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_60,c_0_29]),
[final] ).
cnf(c_0_85,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),X2) = compose(h,compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_61,c_0_29]),
[final] ).
cnf(c_0_86,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),X2) = compose(g,compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_62,c_0_29]),
[final] ).
cnf(c_0_87,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(X1,g),X2) = compose(X1,compose(g,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_88,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(X1,h),X2) = compose(X1,compose(h,X2)) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]),
[final] ).
cnf(c_0_90,hypothesis,
( codomain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(X1,b) != compose(domain(X2),b)
| X1 = domain(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_30]),
[final] ).
cnf(c_0_91,plain,
( codomain(X1) != domain(X2)
| compose(compose(X1,X2),codomain(X2)) = compose(X1,X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_63]),
[final] ).
cnf(c_0_92,hypothesis,
( codomain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(X1,a) != compose(domain(X2),a)
| X1 = domain(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_30]),
[final] ).
cnf(c_0_95,hypothesis,
compose(compose(h,a),b) = compose(h,compose(a,b)),
inference(er,[status(thm)],[c_0_66]),
[final] ).
cnf(c_0_97,negated_conjecture,
h != g,
c_0_67,
[final] ).
cnf(c_0_98,plain,
( codomain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(X1,domain(X2)),domain(X3)) = compose(X1,compose(domain(X2),domain(X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_99,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X2)) = compose(compose(h,compose(a,b)),compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_69,c_0_29]),
[final] ).
cnf(c_0_100,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(h,a)),compose(h,compose(a,b))) = compose(X1,compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_101,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(g,a)),compose(h,compose(a,b))) = compose(X1,compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_102,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,codomain(X2)),compose(h,compose(a,b))) = compose(X1,compose(codomain(X2),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_55,c_0_53]),
[final] ).
cnf(c_0_103,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(X1,X2),compose(a,b)) = compose(X1,compose(X2,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_31,c_0_27]),
[final] ).
cnf(c_0_104,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(X1,domain(X2)),compose(h,compose(a,b))) = compose(X1,compose(domain(X2),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_105,hypothesis,
compose(domain(h),compose(h,compose(a,b))) = compose(h,compose(a,b)),
inference(spm,[status(thm)],[c_0_54,c_0_53]),
[final] ).
cnf(c_0_106,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(a,b),codomain(X1)),codomain(X2)) = compose(compose(a,b),compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_71,c_0_29]),
[final] ).
cnf(c_0_107,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(domain(X1),domain(X2)),compose(h,compose(a,b))) = compose(domain(X1),compose(domain(X2),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_72,c_0_53]),
[final] ).
cnf(c_0_108,hypothesis,
( codomain(X1) != domain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),X2) = compose(compose(h,compose(a,b)),compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_73,c_0_29]),
[final] ).
cnf(c_0_109,hypothesis,
compose(compose(h,compose(a,b)),codomain(b)) = compose(h,compose(a,b)),
inference(spm,[status(thm)],[c_0_63,c_0_52]),
[final] ).
cnf(c_0_110,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(domain(X1),domain(X2)),compose(h,a)) = compose(domain(X1),compose(domain(X2),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_72,c_0_57]),
[final] ).
cnf(c_0_111,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(domain(X1),domain(X2)),compose(g,a)) = compose(domain(X1),compose(domain(X2),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_72,c_0_56]),
[final] ).
cnf(c_0_112,hypothesis,
compose(domain(a),compose(a,b)) = compose(a,b),
inference(rw,[status(thm)],[c_0_74,c_0_23]),
[final] ).
cnf(c_0_113,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(codomain(X1),codomain(X2)),compose(a,b)) = compose(codomain(X1),compose(codomain(X2),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_43]),
[final] ).
cnf(c_0_114,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(h,a)),compose(g,a)) = compose(X1,compose(compose(h,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_115,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(g,a)),compose(g,a)) = compose(X1,compose(compose(g,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_116,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(h,a)),compose(h,a)) = compose(X1,compose(compose(h,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_117,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(X1,compose(g,a)),compose(h,a)) = compose(X1,compose(compose(g,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_118,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,codomain(X2)),compose(h,a)) = compose(X1,compose(codomain(X2),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_55,c_0_57]),
[final] ).
cnf(c_0_119,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(X1,codomain(X2)),compose(g,a)) = compose(X1,compose(codomain(X2),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]),
[final] ).
cnf(c_0_120,hypothesis,
( codomain(X1) != domain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(a,b),codomain(X1)),X2) = compose(compose(a,b),compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_78,c_0_29]),
[final] ).
cnf(c_0_121,hypothesis,
compose(compose(a,b),codomain(b)) = compose(a,b),
inference(spm,[status(thm)],[c_0_63,c_0_41]),
[final] ).
cnf(c_0_122,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(X1,domain(X2)),compose(g,a)) = compose(X1,compose(domain(X2),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_123,hypothesis,
compose(domain(h),compose(g,a)) = compose(g,a),
inference(spm,[status(thm)],[c_0_54,c_0_56]),
[final] ).
cnf(c_0_124,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(X1,domain(X2)),compose(h,a)) = compose(X1,compose(domain(X2),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_125,hypothesis,
compose(domain(h),compose(h,a)) = compose(h,a),
inference(spm,[status(thm)],[c_0_54,c_0_57]),
[final] ).
cnf(c_0_126,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),X2) = compose(compose(h,a),compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_79,c_0_29]),
[final] ).
cnf(c_0_127,hypothesis,
compose(compose(h,a),domain(b)) = compose(h,a),
inference(spm,[status(thm)],[c_0_63,c_0_58]),
[final] ).
cnf(c_0_128,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),X2) = compose(compose(g,a),compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_80,c_0_29]),
[final] ).
cnf(c_0_129,hypothesis,
compose(compose(g,a),domain(b)) = compose(g,a),
inference(spm,[status(thm)],[c_0_63,c_0_59]),
[final] ).
cnf(c_0_130,hypothesis,
( domain(X1) != codomain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),codomain(X2)) = compose(compose(h,a),compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_58]),
[final] ).
cnf(c_0_131,hypothesis,
( domain(X1) != codomain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),codomain(X2)) = compose(compose(g,a),compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_59]),
[final] ).
cnf(c_0_132,plain,
( codomain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(codomain(X1),domain(X2)),X3) = compose(codomain(X1),compose(domain(X2),X3)) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]),
[final] ).
cnf(c_0_133,plain,
( domain(X1) != domain(X2)
| compose(compose(domain(X1),domain(X2)),X2) = compose(domain(X1),X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_72]),c_0_54]),
[final] ).
cnf(c_0_134,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(domain(X1),domain(X2)),g) = compose(domain(X1),compose(domain(X2),g)) ),
inference(spm,[status(thm)],[c_0_72,c_0_42]),
[final] ).
cnf(c_0_135,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(compose(X1,a),codomain(X2)) = compose(X1,compose(a,codomain(X2))) ),
inference(spm,[status(thm)],[c_0_39,c_0_18]),
[final] ).
cnf(c_0_136,hypothesis,
compose(a,domain(b)) = a,
inference(spm,[status(thm)],[c_0_63,c_0_18]),
[final] ).
cnf(c_0_137,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),a),X2) = compose(codomain(X1),compose(a,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_43]),
[final] ).
cnf(c_0_138,plain,
compose(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_63,c_0_30]),
[final] ).
cnf(c_0_139,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(domain(X1),compose(h,a)),X2) = compose(domain(X1),compose(compose(h,a),X2)) ),
inference(spm,[status(thm)],[c_0_81,c_0_30]),
[final] ).
cnf(c_0_140,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(domain(X1),compose(g,a)),X2) = compose(domain(X1),compose(compose(g,a),X2)) ),
inference(spm,[status(thm)],[c_0_82,c_0_30]),
[final] ).
cnf(c_0_141,hypothesis,
compose(compose(g,a),b) = compose(h,compose(a,b)),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_83]),c_0_28]),
[final] ).
cnf(c_0_142,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),codomain(X2)) = compose(a,compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_84,c_0_29]),
[final] ).
cnf(c_0_143,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),codomain(X2)) = compose(h,compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_85,c_0_29]),
[final] ).
cnf(c_0_144,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),codomain(X2)) = compose(g,compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_86,c_0_29]),
[final] ).
cnf(c_0_145,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(domain(X1),g),X2) = compose(domain(X1),compose(g,X2)) ),
inference(spm,[status(thm)],[c_0_87,c_0_30]),
[final] ).
cnf(c_0_146,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(domain(X1),h),X2) = compose(domain(X1),compose(h,X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_30]),
[final] ).
cnf(c_0_147,hypothesis,
( codomain(X1) != domain(h)
| codomain(X2) != domain(a)
| compose(compose(X1,h),codomain(X2)) = compose(X1,compose(h,codomain(X2))) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]),
[final] ).
cnf(c_0_148,hypothesis,
compose(h,domain(a)) = h,
inference(spm,[status(thm)],[c_0_63,c_0_23]),
[final] ).
cnf(c_0_149,hypothesis,
( codomain(X1) != domain(h)
| codomain(X2) != domain(a)
| compose(compose(X1,g),codomain(X2)) = compose(X1,compose(g,codomain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_150,hypothesis,
compose(g,domain(a)) = g,
inference(rw,[status(thm)],[c_0_89,c_0_23]),
[final] ).
cnf(c_0_151,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(X1,a) != compose(codomain(X2),a)
| X1 = codomain(X2) ),
inference(spm,[status(thm)],[c_0_65,c_0_43]),
[final] ).
cnf(c_0_152,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(domain(X1),a),X2) = compose(domain(X1),compose(a,X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_30]),
[final] ).
cnf(c_0_153,hypothesis,
( codomain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(codomain(X1),b) != compose(domain(X2),b)
| codomain(X1) = domain(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_43]),
[final] ).
cnf(c_0_154,plain,
( domain(X1) != domain(X2)
| compose(compose(domain(X1),X2),codomain(X2)) = compose(domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_30]),
[final] ).
cnf(c_0_155,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(X1,b) != compose(codomain(X2),b)
| X1 = codomain(X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_43]),
[final] ).
cnf(c_0_156,hypothesis,
( codomain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(codomain(X1),a) != compose(domain(X2),a)
| codomain(X1) = domain(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_43]),
[final] ).
cnf(c_0_158,hypothesis,
( domain(b) != domain(X1)
| domain(compose(compose(h,a),X1)) = domain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_160,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,a) != compose(compose(h,a),a)
| X1 = compose(h,a) ),
inference(spm,[status(thm)],[c_0_65,c_0_58]),
[final] ).
cnf(c_0_161,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,a) != compose(compose(g,a),a)
| X1 = compose(g,a) ),
inference(spm,[status(thm)],[c_0_65,c_0_59]),
[final] ).
cnf(c_0_162,hypothesis,
( domain(b) != domain(X1)
| domain(compose(compose(g,a),X1)) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_164,plain,
( domain(X1) != domain(X2)
| codomain(compose(domain(X1),X2)) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]),
[final] ).
cnf(c_0_165,plain,
( domain(X1) != domain(X2)
| domain(compose(domain(X1),X2)) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_168,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,b) != compose(a,b)
| X1 = a ),
inference(spm,[status(thm)],[c_0_64,c_0_18]),
[final] ).
cnf(c_0_169,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,a) != compose(a,a)
| X1 = a ),
inference(spm,[status(thm)],[c_0_65,c_0_18]),
[final] ).
cnf(c_0_170,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,b) != compose(h,compose(a,b))
| X1 = compose(h,a) ),
inference(rw,[status(thm)],[c_0_93,c_0_95]),
[final] ).
cnf(c_0_172,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),X1),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_52]),
[final] ).
cnf(c_0_173,hypothesis,
( domain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),X2),compose(h,compose(a,b))) = compose(domain(X1),compose(X2,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_30]),
[final] ).
cnf(c_0_174,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),X2),compose(h,compose(a,b))) = compose(codomain(X1),compose(X2,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_43]),
[final] ).
cnf(c_0_175,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),X1),compose(h,compose(a,b))) = compose(compose(a,b),compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_41]),
[final] ).
cnf(c_0_176,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),X1),compose(h,compose(a,b))) = compose(compose(h,a),compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_58]),
[final] ).
cnf(c_0_177,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),X1),compose(h,compose(a,b))) = compose(compose(g,a),compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_59]),
[final] ).
cnf(c_0_178,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(a,X1),compose(h,compose(a,b))) = compose(a,compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_18]),
[final] ).
cnf(c_0_179,hypothesis,
( domain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),X2),compose(g,a)) = compose(domain(X1),compose(X2,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_30]),
[final] ).
cnf(c_0_180,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),X1),compose(g,a)) = compose(compose(h,compose(a,b)),compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_52]),
[final] ).
cnf(c_0_181,hypothesis,
( domain(X1) != domain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X2)) = compose(compose(h,compose(a,b)),compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_52]),
[final] ).
cnf(c_0_182,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),X2),compose(g,a)) = compose(codomain(X1),compose(X2,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_43]),
[final] ).
cnf(c_0_183,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(h,X1),compose(h,compose(a,b))) = compose(h,compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_23]),
[final] ).
cnf(c_0_184,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(g,X1),compose(h,compose(a,b))) = compose(g,compose(X1,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_47]),
[final] ).
cnf(c_0_185,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(b)) = compose(compose(h,compose(a,b)),compose(codomain(X1),codomain(b))) ),
inference(spm,[status(thm)],[c_0_99,c_0_52]),
[final] ).
cnf(c_0_186,hypothesis,
( domain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),X2),compose(h,a)) = compose(domain(X1),compose(X2,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_30]),
[final] ).
cnf(c_0_187,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),X2),compose(h,a)) = compose(codomain(X1),compose(X2,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_43]),
[final] ).
cnf(c_0_188,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),X1),compose(g,a)) = compose(compose(h,a),compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_58]),
[final] ).
cnf(c_0_189,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),X1),compose(g,a)) = compose(compose(g,a),compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_59]),
[final] ).
cnf(c_0_190,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),X1),compose(h,a)) = compose(compose(h,compose(a,b)),compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_52]),
[final] ).
cnf(c_0_191,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),X1),compose(h,a)) = compose(compose(h,a),compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_58]),
[final] ).
cnf(c_0_192,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(h,a)),compose(h,compose(a,b))) = compose(codomain(X1),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_43]),
[final] ).
cnf(c_0_193,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),X1),compose(h,a)) = compose(compose(g,a),compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_59]),
[final] ).
cnf(c_0_194,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(g,a)),compose(h,compose(a,b))) = compose(codomain(X1),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_43]),
[final] ).
cnf(c_0_195,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),X1),compose(g,a)) = compose(compose(a,b),compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_41]),
[final] ).
cnf(c_0_196,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),X1),compose(h,a)) = compose(compose(a,b),compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_41]),
[final] ).
cnf(c_0_197,hypothesis,
( codomain(X1) != domain(h)
| compose(X1,compose(codomain(X1),compose(h,compose(a,b)))) = compose(X1,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_102]),c_0_63]),
[final] ).
cnf(c_0_198,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,compose(h,compose(a,b))),codomain(b)) = compose(X1,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_199,hypothesis,
( domain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),X2),compose(a,b)) = compose(domain(X1),compose(X2,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_30]),
[final] ).
cnf(c_0_200,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,domain(h)),compose(h,compose(a,b))) = compose(X1,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_56]),c_0_105]),
[final] ).
cnf(c_0_201,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(codomain(X1),X2),compose(a,b)) = compose(codomain(X1),compose(X2,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_43]),
[final] ).
cnf(c_0_202,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(a,X1),compose(g,a)) = compose(a,compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_18]),
[final] ).
cnf(c_0_203,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(a,X1),compose(h,a)) = compose(a,compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_18]),
[final] ).
cnf(c_0_204,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,b),X1),compose(a,b)) = compose(compose(a,b),compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_41]),
[final] ).
cnf(c_0_205,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(h,compose(a,b)),X1),compose(a,b)) = compose(compose(h,compose(a,b)),compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_52]),
[final] ).
cnf(c_0_206,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(h,a),X1),compose(a,b)) = compose(compose(h,a),compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_58]),
[final] ).
cnf(c_0_207,hypothesis,
( domain(X1) != domain(X2)
| codomain(b) != domain(X1)
| compose(compose(compose(a,b),domain(X1)),domain(X2)) = compose(compose(a,b),compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_41]),
[final] ).
cnf(c_0_208,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(g,a),X1),compose(a,b)) = compose(compose(g,a),compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_59]),
[final] ).
cnf(c_0_209,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(compose(a,b),codomain(X1)),codomain(b)) = compose(compose(a,b),compose(codomain(X1),codomain(b))) ),
inference(spm,[status(thm)],[c_0_106,c_0_52]),
[final] ).
cnf(c_0_210,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(a,X1),compose(a,b)) = compose(a,compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_18]),
[final] ).
cnf(c_0_211,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(h,X1),compose(a,b)) = compose(h,compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_23]),
[final] ).
cnf(c_0_212,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(g,X1),compose(a,b)) = compose(g,compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_103,c_0_47]),
[final] ).
cnf(c_0_213,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(X1,domain(X2)),compose(a,b)) = compose(X1,compose(domain(X2),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_214,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(h),domain(X1)),compose(h,compose(a,b))) = compose(domain(h),compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_107,c_0_42]),
[final] ).
cnf(c_0_215,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(h,compose(a,b)),compose(codomain(b),X1)) = compose(compose(h,compose(a,b)),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_52]),c_0_109]),
[final] ).
cnf(c_0_216,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(h),domain(X1)),compose(h,a)) = compose(domain(h),compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_110,c_0_42]),
[final] ).
cnf(c_0_217,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(h),domain(X1)),compose(g,a)) = compose(domain(h),compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_111,c_0_42]),
[final] ).
cnf(c_0_218,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(h,X1),compose(g,a)) = compose(h,compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_23]),
[final] ).
cnf(c_0_219,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(g,X1),compose(g,a)) = compose(g,compose(X1,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_76,c_0_47]),
[final] ).
cnf(c_0_220,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(h,X1),compose(h,a)) = compose(h,compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_23]),
[final] ).
cnf(c_0_221,hypothesis,
( domain(a) != domain(X1)
| codomain(X1) != domain(h)
| compose(compose(g,X1),compose(h,a)) = compose(g,compose(X1,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_77,c_0_47]),
[final] ).
cnf(c_0_222,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,domain(a)),compose(a,b)) = compose(X1,compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_47]),c_0_112]),
[final] ).
cnf(c_0_223,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,compose(codomain(X1),compose(a,b))) = compose(X1,compose(a,b)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_75]),c_0_63]),
[final] ).
cnf(c_0_224,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(domain(a),codomain(X1)),compose(a,b)) = compose(domain(a),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_113,c_0_47]),
[final] ).
cnf(c_0_225,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(h,a)),compose(g,a)) = compose(codomain(X1),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_43]),
[final] ).
cnf(c_0_226,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(g,a)),compose(g,a)) = compose(codomain(X1),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_43]),
[final] ).
cnf(c_0_227,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(h,a)),compose(h,a)) = compose(codomain(X1),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_43]),
[final] ).
cnf(c_0_228,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(a,b),X1),codomain(X1)) = compose(compose(a,b),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_41]),
[final] ).
cnf(c_0_229,hypothesis,
( codomain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(codomain(X1),compose(g,a)),compose(h,a)) = compose(codomain(X1),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_43]),
[final] ).
cnf(c_0_230,hypothesis,
( codomain(X1) != domain(h)
| compose(X1,compose(codomain(X1),compose(h,a))) = compose(X1,compose(h,a)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_118]),c_0_63]),
[final] ).
cnf(c_0_231,hypothesis,
( codomain(X1) != domain(h)
| compose(X1,compose(codomain(X1),compose(g,a))) = compose(X1,compose(g,a)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_119]),c_0_63]),
[final] ).
cnf(c_0_232,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(a,b),compose(codomain(b),X1)) = compose(compose(a,b),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_52]),c_0_121]),
[final] ).
cnf(c_0_233,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(h,a),X1),codomain(X1)) = compose(compose(h,a),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_58]),
[final] ).
cnf(c_0_234,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(g,a),X1),codomain(X1)) = compose(compose(g,a),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_59]),
[final] ).
cnf(c_0_235,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,compose(a,b)),codomain(b)) = compose(X1,compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_236,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,domain(h)),compose(g,a)) = compose(X1,compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_56]),c_0_123]),
[final] ).
cnf(c_0_237,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,domain(h)),compose(h,a)) = compose(X1,compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_56]),c_0_125]),
[final] ).
cnf(c_0_238,hypothesis,
( domain(b) != domain(X1)
| compose(compose(h,a),compose(domain(b),X1)) = compose(compose(h,a),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_18]),c_0_127]),
[final] ).
cnf(c_0_239,hypothesis,
( domain(b) != domain(X1)
| compose(compose(g,a),compose(domain(b),X1)) = compose(compose(g,a),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_18]),c_0_129]),
[final] ).
cnf(c_0_240,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(X1,compose(h,a)),domain(X2)) = compose(X1,compose(compose(h,a),domain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_241,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),domain(b)) = compose(compose(h,a),compose(domain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_130,c_0_18]),
[final] ).
cnf(c_0_242,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,compose(h,a)),domain(b)) = compose(X1,compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_243,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),domain(b)) = compose(compose(g,a),compose(domain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_131,c_0_18]),
[final] ).
cnf(c_0_244,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,compose(g,a)),domain(b)) = compose(X1,compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_245,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(X1,compose(g,a)),domain(X2)) = compose(X1,compose(compose(g,a),domain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_246,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),X1) = compose(compose(h,a),X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_79]),c_0_54]),
[final] ).
cnf(c_0_247,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),X1) = compose(compose(g,a),X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_80]),c_0_54]),
[final] ).
cnf(c_0_248,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),g) = compose(compose(h,a),compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_79,c_0_42]),
[final] ).
cnf(c_0_249,plain,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(domain(X1),codomain(X2)),X3) = compose(domain(X1),compose(codomain(X2),X3)) ),
inference(spm,[status(thm)],[c_0_72,c_0_29]),
[final] ).
cnf(c_0_250,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),g) = compose(compose(g,a),compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_80,c_0_42]),
[final] ).
cnf(c_0_251,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(codomain(X1),codomain(X2)),X3) = compose(codomain(X1),compose(codomain(X2),X3)) ),
inference(spm,[status(thm)],[c_0_132,c_0_29]),
[final] ).
cnf(c_0_252,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(X1,a),domain(X2)) = compose(X1,compose(a,domain(X2))) ),
inference(spm,[status(thm)],[c_0_68,c_0_18]),
[final] ).
cnf(c_0_253,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(X1,h),domain(X2)) = compose(X1,compose(h,domain(X2))) ),
inference(spm,[status(thm)],[c_0_68,c_0_23]),
[final] ).
cnf(c_0_254,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(X1,g),domain(X2)) = compose(X1,compose(g,domain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_255,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),domain(X2)),X2) = compose(codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_29]),
[final] ).
cnf(c_0_256,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(codomain(X1),domain(X2)),g) = compose(codomain(X1),compose(domain(X2),g)) ),
inference(spm,[status(thm)],[c_0_134,c_0_29]),
[final] ).
cnf(c_0_257,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,a),domain(b)) = compose(X1,a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_18]),c_0_136]),
[final] ).
cnf(c_0_258,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),X2),codomain(X2)) = compose(codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_43]),
[final] ).
cnf(c_0_259,hypothesis,
( domain(b) != domain(X1)
| compose(a,compose(domain(b),X1)) = compose(a,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_18]),c_0_136]),
[final] ).
cnf(c_0_260,hypothesis,
( domain(b) != domain(X1)
| compose(domain(a),compose(a,X1)) = compose(a,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_47]),c_0_54]),
[final] ).
cnf(c_0_261,plain,
( codomain(X1) != domain(X2)
| compose(compose(X1,domain(X2)),domain(X2)) = compose(X1,domain(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_262,plain,
( codomain(X1) != codomain(X2)
| compose(compose(X1,codomain(X2)),codomain(X2)) = compose(X1,codomain(X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_263,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(h),domain(X1)),g) = compose(domain(h),compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_134,c_0_42]),
[final] ).
cnf(c_0_264,hypothesis,
( domain(X1) != domain(h)
| compose(domain(X1),compose(domain(X1),g)) = compose(domain(X1),g) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_134]),c_0_138]),
[final] ).
cnf(c_0_265,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,X1),codomain(X1)) = compose(a,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_18]),
[final] ).
cnf(c_0_266,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),compose(h,a)),b) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_139]),c_0_95]),
[final] ).
cnf(c_0_267,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),compose(g,a)),b) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_140]),c_0_141]),
[final] ).
cnf(c_0_268,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),domain(b)) = compose(a,compose(codomain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_142,c_0_18]),
[final] ).
cnf(c_0_269,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),domain(a)) = compose(h,compose(codomain(X1),domain(a))) ),
inference(spm,[status(thm)],[c_0_143,c_0_47]),
[final] ).
cnf(c_0_270,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),domain(a)) = compose(g,compose(codomain(X1),domain(a))) ),
inference(spm,[status(thm)],[c_0_144,c_0_47]),
[final] ).
cnf(c_0_271,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),g),compose(a,b)) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_27]),c_0_28]),
[final] ).
cnf(c_0_272,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),h),compose(a,b)) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_146,c_0_27]),
[final] ).
cnf(c_0_273,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,b) != compose(h,compose(a,b))
| X1 = compose(g,a) ),
inference(rw,[status(thm)],[c_0_94,c_0_141]),
[final] ).
cnf(c_0_274,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,domain(X1)),X1) = compose(a,X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_60]),c_0_54]),
[final] ).
cnf(c_0_275,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),g) = compose(a,compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_60,c_0_42]),
[final] ).
cnf(c_0_276,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,h),domain(a)) = compose(X1,h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_47]),c_0_148]),
[final] ).
cnf(c_0_277,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(X1,g),domain(a)) = compose(X1,g) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_47]),c_0_150]),
[final] ).
cnf(c_0_278,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(X1,compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_279,hypothesis,
( domain(a) != domain(X1)
| compose(h,compose(domain(a),X1)) = compose(h,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_27]),c_0_148]),
[final] ).
cnf(c_0_280,hypothesis,
( domain(a) != domain(X1)
| compose(g,compose(domain(a),X1)) = compose(g,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_27]),c_0_150]),
[final] ).
cnf(c_0_281,hypothesis,
( domain(a) != domain(X1)
| compose(compose(h,X1),codomain(X1)) = compose(h,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_23]),
[final] ).
cnf(c_0_282,hypothesis,
( domain(a) != domain(X1)
| compose(compose(g,X1),codomain(X1)) = compose(g,X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_47]),
[final] ).
cnf(c_0_283,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,a) != compose(domain(b),a)
| X1 = domain(b) ),
inference(spm,[status(thm)],[c_0_151,c_0_18]),
[final] ).
cnf(c_0_284,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),g),a) = compose(domain(X1),compose(g,a)) ),
inference(er,[status(thm)],[c_0_145]),
[final] ).
cnf(c_0_285,hypothesis,
( domain(a) != domain(X1)
| compose(compose(h,domain(X1)),X1) = compose(h,X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_61]),c_0_54]),
[final] ).
cnf(c_0_286,hypothesis,
( domain(a) != domain(X1)
| compose(compose(g,domain(X1)),X1) = compose(g,X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_62]),c_0_54]),
[final] ).
cnf(c_0_287,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),h),a) = compose(domain(X1),compose(h,a)) ),
inference(er,[status(thm)],[c_0_146]),
[final] ).
cnf(c_0_288,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X1)
| compose(compose(h,domain(X1)),g) = compose(h,compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_61,c_0_42]),
[final] ).
cnf(c_0_289,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(X2)
| compose(compose(X1,compose(a,b)),X2) = compose(X1,compose(compose(a,b),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_290,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X1)
| compose(compose(g,domain(X1)),g) = compose(g,compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_62,c_0_42]),
[final] ).
cnf(c_0_291,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),domain(h)),g) = compose(domain(X1),g) ),
inference(spm,[status(thm)],[c_0_133,c_0_42]),
[final] ).
cnf(c_0_292,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(X1,compose(h,compose(a,b)))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_53]),
[final] ).
cnf(c_0_293,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),b) = compose(domain(X1),compose(a,b)) ),
inference(er,[status(thm)],[c_0_152]),
[final] ).
cnf(c_0_294,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(X1,compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_295,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(X1,compose(a,b))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_27]),
[final] ).
cnf(c_0_296,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(a,b),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_41]),
[final] ).
cnf(c_0_297,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(a,b),X1)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_298,hypothesis,
( domain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(domain(X1),b) != compose(domain(X2),b)
| domain(X1) = domain(X2) ),
inference(spm,[status(thm)],[c_0_90,c_0_30]),
[final] ).
cnf(c_0_299,hypothesis,
( domain(X1) != domain(a)
| domain(X2) != domain(b)
| compose(domain(X1),a) != compose(domain(X2),a)
| domain(X1) = domain(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_30]),
[final] ).
cnf(c_0_300,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(X1,compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_301,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(X1,compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_302,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(compose(h,a),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_58]),
[final] ).
cnf(c_0_303,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(compose(g,a),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_59]),
[final] ).
cnf(c_0_304,hypothesis,
( domain(X1) != domain(b)
| compose(domain(a),b) != compose(domain(X1),b)
| domain(a) = domain(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_47]),
[final] ).
cnf(c_0_305,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(X1,compose(g,a))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_56]),
[final] ).
cnf(c_0_306,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(X1,compose(h,a))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_57]),
[final] ).
cnf(c_0_307,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),g),domain(a)) = compose(domain(X1),g) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_308,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,b) != b
| X1 = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_18]),c_0_54]),
[final] ).
cnf(c_0_309,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),a) != a
| domain(a) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_47]),c_0_54]),
[final] ).
cnf(c_0_319,plain,
( codomain(X1) != domain(X2)
| codomain(compose(codomain(X1),X2)) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_43]),
[final] ).
cnf(c_0_320,plain,
( codomain(X1) != domain(X2)
| codomain(compose(X1,domain(X2))) = domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_321,plain,
( codomain(X1) != codomain(X2)
| codomain(compose(X1,codomain(X2))) = codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_322,plain,
( codomain(X1) != domain(X2)
| domain(compose(codomain(X1),X2)) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_323,plain,
( codomain(X1) != domain(X2)
| domain(compose(X1,domain(X2))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_36]),
[final] ).
cnf(c_0_324,plain,
( codomain(X1) != codomain(X2)
| domain(compose(X1,codomain(X2))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_29]),
[final] ).
cnf(c_0_325,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),a) != compose(compose(h,a),a)
| codomain(X1) = compose(h,a) ),
inference(spm,[status(thm)],[c_0_160,c_0_43]),
[final] ).
cnf(c_0_326,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),a) != compose(compose(g,a),a)
| codomain(X1) = compose(g,a) ),
inference(spm,[status(thm)],[c_0_161,c_0_43]),
[final] ).
cnf(c_0_327,hypothesis,
( domain(a) != domain(X1)
| domain(compose(g,X1)) = domain(h) ),
inference(rw,[status(thm)],[c_0_26,c_0_42]),
[final] ).
cnf(c_0_329,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(g,codomain(X1))) = codomain(X1) ),
inference(rw,[status(thm)],[c_0_163,c_0_23]),
[final] ).
cnf(c_0_330,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),b) != compose(h,b)
| domain(X1) = h ),
inference(spm,[status(thm)],[c_0_90,c_0_23]),
[final] ).
cnf(c_0_331,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),b) != compose(g,b)
| domain(X1) = g ),
inference(spm,[status(thm)],[c_0_90,c_0_47]),
[final] ).
cnf(c_0_332,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),a) != compose(h,a)
| domain(X1) = h ),
inference(spm,[status(thm)],[c_0_92,c_0_23]),
[final] ).
cnf(c_0_333,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),a) != compose(g,a)
| domain(X1) = g ),
inference(spm,[status(thm)],[c_0_92,c_0_47]),
[final] ).
cnf(c_0_334,hypothesis,
( domain(X1) != domain(h)
| codomain(compose(domain(X1),g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_335,hypothesis,
( domain(X1) != domain(h)
| domain(compose(domain(X1),g)) = domain(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_42]),
[final] ).
cnf(c_0_341,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),b) != compose(a,b)
| codomain(X1) = a ),
inference(spm,[status(thm)],[c_0_168,c_0_43]),
[final] ).
cnf(c_0_342,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),a) != compose(a,a)
| codomain(X1) = a ),
inference(spm,[status(thm)],[c_0_169,c_0_43]),
[final] ).
cnf(c_0_345,hypothesis,
domain(b) != domain(a),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_59]),c_0_141])]),c_0_171]),
[final] ).
cnf(c_0_346,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_347,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_348,hypothesis,
( domain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(domain(X1),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_173,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_349,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(codomain(X1),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_350,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(a,b)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_351,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_352,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),a),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(a,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_172,c_0_18]),
[final] ).
cnf(c_0_353,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(h,a),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_176,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_354,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(compose(g,a),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_177,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_355,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(a,b)),compose(h,compose(a,b))) = compose(domain(X1),compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_356,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(a,b),domain(X1)),compose(h,compose(a,b))) = compose(compose(a,b),compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_41]),
[final] ).
cnf(c_0_357,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(a,compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(a,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_178,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_358,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_52]),
[final] ).
cnf(c_0_359,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(a,b)),compose(h,compose(a,b))) = compose(codomain(X1),compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_360,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(h,a)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_41]),
[final] ).
cnf(c_0_361,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_52]),
[final] ).
cnf(c_0_362,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(g,a)),compose(h,compose(a,b))) = compose(compose(a,b),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_41]),
[final] ).
cnf(c_0_363,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_52]),
[final] ).
cnf(c_0_364,hypothesis,
( domain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(h,compose(a,b))),compose(g,a)) = compose(domain(X1),compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_365,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_366,hypothesis,
( codomain(X1) != domain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),domain(X2)) = compose(compose(h,compose(a,b)),compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_181,c_0_29]),
[final] ).
cnf(c_0_367,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_368,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(h,compose(a,b))),compose(g,a)) = compose(codomain(X1),compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_369,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),h),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_172,c_0_23]),
[final] ).
cnf(c_0_370,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),g),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(g,compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_371,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(h,compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(h,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_183,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_372,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(X1)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_122,c_0_52]),
[final] ).
cnf(c_0_373,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(g,compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(g,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_184,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_374,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),domain(X1)),codomain(b)) = compose(compose(h,compose(a,b)),compose(domain(X1),codomain(b))) ),
inference(spm,[status(thm)],[c_0_185,c_0_30]),
[final] ).
cnf(c_0_375,hypothesis,
( domain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(h,compose(a,b))),compose(h,a)) = compose(domain(X1),compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_376,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(h,compose(a,b))),compose(h,a)) = compose(codomain(X1),compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_377,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(h,a),compose(h,compose(a,b))),compose(g,a)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_378,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(g,a),compose(h,compose(a,b))),compose(g,a)) = compose(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_189,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_379,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_52]),
[final] ).
cnf(c_0_380,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_52]),
[final] ).
cnf(c_0_381,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(codomain(X1),domain(X2)),compose(h,compose(a,b))) = compose(codomain(X1),compose(domain(X2),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_104,c_0_43]),
[final] ).
cnf(c_0_382,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_383,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_384,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(a,b),a),compose(h,compose(a,b))) = compose(compose(a,b),compose(a,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_18]),
[final] ).
cnf(c_0_385,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(h,a),compose(h,compose(a,b))),compose(h,a)) = compose(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_191,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_386,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(h,a)),compose(h,compose(a,b))) = compose(domain(b),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_192,c_0_18]),
[final] ).
cnf(c_0_387,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(compose(g,a),compose(h,compose(a,b))),compose(h,a)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_388,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(g,a)),compose(h,compose(a,b))) = compose(domain(b),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_194,c_0_18]),
[final] ).
cnf(c_0_389,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(a,b)),compose(g,a)) = compose(compose(a,b),compose(compose(a,b),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_390,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(X1)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_124,c_0_52]),
[final] ).
cnf(c_0_391,hypothesis,
( codomain(b) != domain(a)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(a,b)),compose(h,a)) = compose(compose(a,b),compose(compose(a,b),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_392,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_52]),
[final] ).
cnf(c_0_393,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(a,b),domain(X1)),compose(g,a)) = compose(compose(a,b),compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_122,c_0_41]),
[final] ).
cnf(c_0_394,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_52]),
[final] ).
cnf(c_0_395,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(compose(a,b),domain(X1)),compose(h,a)) = compose(compose(a,b),compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_124,c_0_41]),
[final] ).
cnf(c_0_396,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,compose(a,b))),compose(g,a)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_397,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(h,a)),compose(h,compose(a,b))) = compose(domain(X1),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_139,c_0_53]),
[final] ).
cnf(c_0_398,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,compose(a,b))),compose(h,a)) = compose(compose(a,b),compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_52]),c_0_35]),c_0_42])]),
[final] ).
cnf(c_0_399,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(a,b)),compose(g,a)) = compose(domain(X1),compose(compose(a,b),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_400,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(domain(X1),compose(a,b)),compose(h,a)) = compose(domain(X1),compose(compose(a,b),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_401,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),a),compose(g,a)) = compose(compose(h,compose(a,b)),compose(a,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_180,c_0_18]),
[final] ).
cnf(c_0_402,hypothesis,
( 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))) ),
inference(spm,[status(thm)],[c_0_197,c_0_52]),
[final] ).
cnf(c_0_403,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(h,compose(a,b)),a),compose(h,a)) = compose(compose(h,compose(a,b)),compose(a,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_190,c_0_18]),
[final] ).
cnf(c_0_404,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),codomain(b)) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_198,c_0_52]),
[final] ).
cnf(c_0_405,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(g,a)),compose(h,compose(a,b))) = compose(domain(X1),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_140,c_0_53]),
[final] ).
cnf(c_0_406,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(domain(X1),compose(a,b)),compose(a,b)) = compose(domain(X1),compose(compose(a,b),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_407,hypothesis,
( domain(X1) != domain(h)
| codomain(b) != domain(a)
| compose(compose(domain(X1),compose(h,compose(a,b))),compose(a,b)) = compose(domain(X1),compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_408,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_200,c_0_52]),
[final] ).
cnf(c_0_409,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(codomain(X1),compose(a,b)),compose(a,b)) = compose(codomain(X1),compose(compose(a,b),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_410,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),h),compose(h,compose(a,b))) = compose(compose(a,b),compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_175,c_0_23]),
[final] ).
cnf(c_0_411,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),g),compose(h,compose(a,b))) = compose(compose(a,b),compose(g,compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_412,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(a,b)),compose(g,a)) = compose(codomain(X1),compose(compose(a,b),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_413,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(codomain(X1),compose(a,b)),compose(h,a)) = compose(codomain(X1),compose(compose(a,b),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_414,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(a)
| compose(compose(codomain(X1),compose(h,compose(a,b))),compose(a,b)) = compose(codomain(X1),compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_415,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(a,compose(h,compose(a,b))),compose(g,a)) = compose(a,compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_416,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(h,a)),compose(g,a)) = compose(compose(a,b),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_41]),
[final] ).
cnf(c_0_417,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(g,a)),compose(g,a)) = compose(compose(a,b),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_41]),
[final] ).
cnf(c_0_418,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(h)
| compose(compose(a,compose(h,compose(a,b))),compose(h,a)) = compose(a,compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_419,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(h,a)),compose(h,a)) = compose(compose(a,b),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_41]),
[final] ).
cnf(c_0_420,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(b)
| compose(compose(compose(a,b),compose(g,a)),compose(h,a)) = compose(compose(a,b),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_41]),
[final] ).
cnf(c_0_421,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_58]),
[final] ).
cnf(c_0_422,hypothesis,
( codomain(b) != domain(h)
| codomain(b) != domain(a)
| compose(compose(compose(a,b),compose(h,compose(a,b))),compose(a,b)) = compose(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_204,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_423,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_59]),
[final] ).
cnf(c_0_424,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(h,a),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_58]),
[final] ).
cnf(c_0_425,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),compose(h,compose(a,b))) = compose(compose(g,a),compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_59]),
[final] ).
cnf(c_0_426,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),compose(a,b)),compose(a,b)) = compose(compose(a,b),compose(compose(a,b),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_427,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),compose(a,b)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(compose(a,b),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_428,hypothesis,
( codomain(b) != domain(h)
| codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,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_205,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_429,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(a)
| compose(compose(compose(h,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(h,a),compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_430,hypothesis,
( codomain(X1) != domain(X2)
| codomain(b) != codomain(X1)
| compose(compose(compose(a,b),codomain(X1)),domain(X2)) = compose(compose(a,b),compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_207,c_0_29]),
[final] ).
cnf(c_0_431,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(a)
| compose(compose(compose(g,a),compose(h,compose(a,b))),compose(a,b)) = compose(compose(g,a),compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_432,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(a,b),domain(X1)),codomain(b)) = compose(compose(a,b),compose(domain(X1),codomain(b))) ),
inference(spm,[status(thm)],[c_0_209,c_0_30]),
[final] ).
cnf(c_0_433,hypothesis,
( domain(h) != domain(b)
| codomain(b) != domain(a)
| compose(compose(a,compose(h,compose(a,b))),compose(a,b)) = compose(a,compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_434,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(h,compose(h,compose(a,b))),compose(a,b)) = compose(h,compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_435,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(codomain(X1),domain(X2)),compose(g,a)) = compose(codomain(X1),compose(domain(X2),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_122,c_0_43]),
[final] ).
cnf(c_0_436,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(g,compose(h,compose(a,b))),compose(a,b)) = compose(g,compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_437,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(compose(a,b),domain(X1)),compose(a,b)) = compose(compose(a,b),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_213,c_0_41]),
[final] ).
cnf(c_0_438,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(h)
| compose(compose(codomain(X1),domain(X2)),compose(h,a)) = compose(codomain(X1),compose(domain(X2),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_124,c_0_43]),
[final] ).
cnf(c_0_439,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(compose(h,compose(a,b)),domain(X1)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_213,c_0_52]),
[final] ).
cnf(c_0_440,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(codomain(X1),domain(X2)),compose(a,b)) = compose(codomain(X1),compose(domain(X2),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_213,c_0_43]),
[final] ).
cnf(c_0_441,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(domain(h),codomain(X1)),compose(h,compose(a,b))) = compose(domain(h),compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_214,c_0_29]),
[final] ).
cnf(c_0_442,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(h,compose(a,b)),compose(codomain(b),domain(X1))) = compose(compose(h,compose(a,b)),domain(X1)) ),
inference(spm,[status(thm)],[c_0_215,c_0_36]),
[final] ).
cnf(c_0_443,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(domain(X1),domain(X2)),compose(a,b)) = compose(domain(X1),compose(domain(X2),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_72,c_0_27]),
[final] ).
cnf(c_0_444,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(domain(h),codomain(X1)),compose(h,a)) = compose(domain(h),compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_216,c_0_29]),
[final] ).
cnf(c_0_445,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(domain(h),codomain(X1)),compose(g,a)) = compose(domain(h),compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_217,c_0_29]),
[final] ).
cnf(c_0_446,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(h,compose(a,b)),compose(codomain(b),codomain(X1))) = compose(compose(h,compose(a,b)),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_215,c_0_29]),
[final] ).
cnf(c_0_447,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),compose(a,b)) = compose(compose(h,a),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_79,c_0_27]),
[final] ).
cnf(c_0_448,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),compose(h,compose(a,b))) = compose(compose(h,a),compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_79,c_0_53]),
[final] ).
cnf(c_0_449,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),compose(h,a)) = compose(compose(h,a),compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_79,c_0_57]),
[final] ).
cnf(c_0_450,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),h),compose(g,a)) = compose(compose(h,compose(a,b)),compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_180,c_0_23]),
[final] ).
cnf(c_0_451,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),compose(g,a)) = compose(compose(h,a),compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_79,c_0_56]),
[final] ).
cnf(c_0_452,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),domain(X2)) = compose(compose(h,a),compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_126,c_0_36]),
[final] ).
cnf(c_0_453,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),compose(a,b)) = compose(compose(g,a),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_80,c_0_27]),
[final] ).
cnf(c_0_454,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),domain(X2)) = compose(compose(g,a),compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_128,c_0_36]),
[final] ).
cnf(c_0_455,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),compose(h,compose(a,b))) = compose(compose(g,a),compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_80,c_0_53]),
[final] ).
cnf(c_0_456,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),g),compose(g,a)) = compose(compose(h,compose(a,b)),compose(g,compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_457,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),h),compose(h,a)) = compose(compose(h,compose(a,b)),compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_190,c_0_23]),
[final] ).
cnf(c_0_458,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(h,compose(a,b)),g),compose(h,a)) = compose(compose(h,compose(a,b)),compose(g,compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_459,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(h,compose(h,compose(a,b))),compose(g,a)) = compose(h,compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_460,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),compose(h,a)) = compose(compose(g,a),compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_80,c_0_57]),
[final] ).
cnf(c_0_461,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),compose(g,a)) = compose(compose(g,a),compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_80,c_0_56]),
[final] ).
cnf(c_0_462,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(g,compose(h,compose(a,b))),compose(g,a)) = compose(g,compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_463,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(h,compose(h,compose(a,b))),compose(h,a)) = compose(h,compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_464,hypothesis,
( domain(h) != domain(a)
| codomain(b) != domain(h)
| compose(compose(g,compose(h,compose(a,b))),compose(h,a)) = compose(g,compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_465,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(a,b),a),compose(g,a)) = compose(compose(a,b),compose(a,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_195,c_0_18]),
[final] ).
cnf(c_0_466,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),compose(h,compose(a,b))) = compose(a,compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_60,c_0_53]),
[final] ).
cnf(c_0_467,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X1)
| compose(compose(h,domain(X1)),compose(h,compose(a,b))) = compose(h,compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_53]),
[final] ).
cnf(c_0_468,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X1)
| compose(compose(g,domain(X1)),compose(h,compose(a,b))) = compose(g,compose(domain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_62,c_0_53]),
[final] ).
cnf(c_0_469,hypothesis,
( codomain(b) != domain(a)
| domain(h) != domain(b)
| compose(compose(compose(a,b),a),compose(h,a)) = compose(compose(a,b),compose(a,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_196,c_0_18]),
[final] ).
cnf(c_0_470,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),domain(a)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_222,c_0_52]),
[final] ).
cnf(c_0_471,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),codomain(X2)) = compose(compose(h,a),compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_130,c_0_29]),
[final] ).
cnf(c_0_472,hypothesis,
( 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)) ),
inference(spm,[status(thm)],[c_0_223,c_0_52]),
[final] ).
cnf(c_0_473,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(h,a)),compose(h,a)) = compose(domain(X1),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_139,c_0_57]),
[final] ).
cnf(c_0_474,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(h,a)),compose(g,a)) = compose(domain(X1),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_139,c_0_56]),
[final] ).
cnf(c_0_475,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(g,a)),compose(h,a)) = compose(domain(X1),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_140,c_0_57]),
[final] ).
cnf(c_0_476,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(g,a)),compose(g,a)) = compose(domain(X1),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_140,c_0_56]),
[final] ).
cnf(c_0_477,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,b),codomain(X1)),compose(a,b)) = compose(compose(a,b),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_41]),
[final] ).
cnf(c_0_478,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),codomain(X2)) = compose(compose(g,a),compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_131,c_0_29]),
[final] ).
cnf(c_0_479,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(a,b)) = compose(compose(h,compose(a,b)),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_52]),
[final] ).
cnf(c_0_480,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),g),compose(h,compose(a,b))) = compose(domain(X1),compose(g,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_145,c_0_53]),
[final] ).
cnf(c_0_481,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),h),compose(h,compose(a,b))) = compose(domain(X1),compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_146,c_0_53]),
[final] ).
cnf(c_0_482,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(a)
| compose(compose(compose(h,a),codomain(X1)),compose(a,b)) = compose(compose(h,a),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_58]),
[final] ).
cnf(c_0_483,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(a)
| compose(compose(compose(g,a),codomain(X1)),compose(a,b)) = compose(compose(g,a),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_59]),
[final] ).
cnf(c_0_484,hypothesis,
( domain(X1) != domain(h)
| codomain(X2) != domain(b)
| compose(compose(domain(X1),compose(h,a)),codomain(X2)) = compose(domain(X1),compose(compose(h,a),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_139,c_0_29]),
[final] ).
cnf(c_0_485,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),codomain(X2)),compose(h,compose(a,b))) = compose(domain(X1),compose(codomain(X2),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_30]),
[final] ).
cnf(c_0_486,hypothesis,
( domain(X1) != domain(h)
| codomain(X2) != domain(b)
| compose(compose(domain(X1),compose(g,a)),codomain(X2)) = compose(domain(X1),compose(compose(g,a),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_140,c_0_29]),
[final] ).
cnf(c_0_487,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),codomain(X2)),compose(h,compose(a,b))) = compose(codomain(X1),compose(codomain(X2),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_43]),
[final] ).
cnf(c_0_488,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(a),domain(X1)),compose(a,b)) = compose(domain(a),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_224,c_0_30]),
[final] ).
cnf(c_0_489,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),codomain(X1)),compose(h,compose(a,b))) = compose(compose(a,b),compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_41]),
[final] ).
cnf(c_0_490,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,compose(a,b))) = compose(compose(h,compose(a,b)),compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_52]),
[final] ).
cnf(c_0_491,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),codomain(X1)),compose(h,compose(a,b))) = compose(compose(h,a),compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_58]),
[final] ).
cnf(c_0_492,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),codomain(X1)),compose(h,compose(a,b))) = compose(compose(g,a),compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_59]),
[final] ).
cnf(c_0_493,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(a,codomain(X1)),compose(h,compose(a,b))) = compose(a,compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_18]),
[final] ).
cnf(c_0_494,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(h,codomain(X1)),compose(h,compose(a,b))) = compose(h,compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_23]),
[final] ).
cnf(c_0_495,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(h,a)),compose(g,a)) = compose(domain(b),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_225,c_0_18]),
[final] ).
cnf(c_0_496,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),codomain(X2)),compose(a,b)) = compose(domain(X1),compose(codomain(X2),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_30]),
[final] ).
cnf(c_0_497,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(g,codomain(X1)),compose(h,compose(a,b))) = compose(g,compose(codomain(X1),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_102,c_0_47]),
[final] ).
cnf(c_0_498,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(g,a)),compose(g,a)) = compose(domain(b),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_226,c_0_18]),
[final] ).
cnf(c_0_499,hypothesis,
( 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))) ),
inference(spm,[status(thm)],[c_0_197,c_0_41]),
[final] ).
cnf(c_0_500,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),compose(a,b)) = compose(a,compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_60,c_0_27]),
[final] ).
cnf(c_0_501,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(h,a)),compose(h,a)) = compose(domain(b),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_227,c_0_18]),
[final] ).
cnf(c_0_502,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,compose(a,b))),codomain(b)) = compose(compose(a,b),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_503,hypothesis,
( domain(h) != domain(b)
| compose(compose(domain(b),compose(g,a)),compose(h,a)) = compose(domain(b),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_229,c_0_18]),
[final] ).
cnf(c_0_504,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),h),compose(h,compose(a,b))) = compose(compose(h,a),compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_176,c_0_23]),
[final] ).
cnf(c_0_505,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),g),compose(h,compose(a,b))) = compose(compose(h,a),compose(g,compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_506,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),h),compose(h,compose(a,b))) = compose(compose(g,a),compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_177,c_0_23]),
[final] ).
cnf(c_0_507,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),g),compose(h,compose(a,b))) = compose(compose(g,a),compose(g,compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_508,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(h,compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_509,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(h,a)),compose(h,compose(a,b))) = compose(h,compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_23]),
[final] ).
cnf(c_0_510,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(h,a)),compose(h,compose(a,b))) = compose(g,compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_47]),
[final] ).
cnf(c_0_511,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(h,compose(a,b))) = compose(g,compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_41]),c_0_28]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_512,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),domain(h)),compose(h,compose(a,b))) = compose(compose(a,b),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_200,c_0_41]),
[final] ).
cnf(c_0_513,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(g,a)),compose(h,compose(a,b))) = compose(h,compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_23]),
[final] ).
cnf(c_0_514,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(g,a)),compose(h,compose(a,b))) = compose(g,compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_47]),
[final] ).
cnf(c_0_515,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),h),compose(a,b)) = compose(compose(h,compose(a,b)),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_205,c_0_23]),
[final] ).
cnf(c_0_516,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),g),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_205,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_517,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),codomain(X2)),compose(h,a)) = compose(domain(X1),compose(codomain(X2),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_30]),
[final] ).
cnf(c_0_518,hypothesis,
( domain(X1) != domain(h)
| compose(domain(X1),compose(domain(X1),compose(h,compose(a,b)))) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_197,c_0_30]),
[final] ).
cnf(c_0_519,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),codomain(X2)),compose(h,a)) = compose(codomain(X1),compose(codomain(X2),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_43]),
[final] ).
cnf(c_0_520,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),codomain(X1)),compose(h,a)) = compose(compose(a,b),compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_41]),
[final] ).
cnf(c_0_521,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(h,a)),compose(h,compose(a,b))) = compose(a,compose(compose(h,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_100,c_0_18]),
[final] ).
cnf(c_0_522,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(g,a)),compose(h,compose(a,b))) = compose(a,compose(compose(g,a),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_18]),
[final] ).
cnf(c_0_523,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_52]),
[final] ).
cnf(c_0_524,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),codomain(X1)),compose(h,a)) = compose(compose(h,a),compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_58]),
[final] ).
cnf(c_0_525,hypothesis,
( 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)) ),
inference(spm,[status(thm)],[c_0_230,c_0_52]),
[final] ).
cnf(c_0_526,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),codomain(X1)),compose(h,a)) = compose(compose(g,a),compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_59]),
[final] ).
cnf(c_0_527,hypothesis,
( 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)) ),
inference(spm,[status(thm)],[c_0_231,c_0_52]),
[final] ).
cnf(c_0_528,hypothesis,
( domain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(a,domain(X1)),compose(g,a)) = compose(a,compose(domain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_122,c_0_18]),
[final] ).
cnf(c_0_529,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),codomain(X2)),compose(g,a)) = compose(domain(X1),compose(codomain(X2),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_30]),
[final] ).
cnf(c_0_530,hypothesis,
( domain(b) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(a,domain(X1)),compose(h,a)) = compose(a,compose(domain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_124,c_0_18]),
[final] ).
cnf(c_0_531,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),codomain(X2)),compose(g,a)) = compose(codomain(X1),compose(codomain(X2),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_43]),
[final] ).
cnf(c_0_532,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(a,b),codomain(X1)),compose(g,a)) = compose(compose(a,b),compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_41]),
[final] ).
cnf(c_0_533,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(h)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_52]),
[final] ).
cnf(c_0_534,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(h,a),codomain(X1)),compose(g,a)) = compose(compose(h,a),compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_58]),
[final] ).
cnf(c_0_535,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(compose(g,a),codomain(X1)),compose(g,a)) = compose(compose(g,a),compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_59]),
[final] ).
cnf(c_0_536,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(a,b),compose(codomain(b),domain(X1))) = compose(compose(a,b),domain(X1)) ),
inference(spm,[status(thm)],[c_0_232,c_0_36]),
[final] ).
cnf(c_0_537,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(a,b),compose(codomain(b),codomain(X1))) = compose(compose(a,b),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_232,c_0_29]),
[final] ).
cnf(c_0_538,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(domain(b),compose(h,compose(a,b)))) = compose(compose(h,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_197,c_0_58]),
[final] ).
cnf(c_0_539,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(domain(b),compose(h,compose(a,b)))) = compose(compose(g,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_197,c_0_59]),
[final] ).
cnf(c_0_540,hypothesis,
( domain(X1) != domain(a)
| domain(h) != domain(b)
| compose(compose(domain(X1),a),compose(h,compose(a,b))) = compose(domain(X1),compose(a,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_152,c_0_53]),
[final] ).
cnf(c_0_541,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,compose(a,b))),codomain(b)) = compose(compose(h,a),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_542,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,compose(a,b))),codomain(b)) = compose(compose(g,a),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_543,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),compose(a,b)),codomain(b)) = compose(compose(h,compose(a,b)),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_235,c_0_52]),
[final] ).
cnf(c_0_544,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),domain(X2)) = compose(compose(h,a),compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_58]),
[final] ).
cnf(c_0_545,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),domain(X2)) = compose(compose(g,a),compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_59]),
[final] ).
cnf(c_0_546,hypothesis,
( domain(X1) != domain(a)
| domain(h) != domain(b)
| compose(compose(domain(X1),a),compose(h,a)) = compose(domain(X1),compose(a,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_152,c_0_57]),
[final] ).
cnf(c_0_547,hypothesis,
( domain(X1) != domain(a)
| domain(h) != domain(b)
| compose(compose(domain(X1),a),compose(g,a)) = compose(domain(X1),compose(a,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_152,c_0_56]),
[final] ).
cnf(c_0_548,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(h)),compose(g,a)) = compose(compose(h,compose(a,b)),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_236,c_0_52]),
[final] ).
cnf(c_0_549,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),domain(h)),compose(h,a)) = compose(compose(h,compose(a,b)),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_237,c_0_52]),
[final] ).
cnf(c_0_550,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),domain(h)),compose(h,compose(a,b))) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_133,c_0_53]),
[final] ).
cnf(c_0_551,hypothesis,
( domain(b) != domain(X1)
| compose(compose(h,a),compose(domain(b),domain(X1))) = compose(compose(h,a),domain(X1)) ),
inference(spm,[status(thm)],[c_0_238,c_0_36]),
[final] ).
cnf(c_0_552,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(h,a),compose(domain(b),codomain(X1))) = compose(compose(h,a),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_238,c_0_29]),
[final] ).
cnf(c_0_553,hypothesis,
( domain(b) != domain(X1)
| compose(compose(g,a),compose(domain(b),domain(X1))) = compose(compose(g,a),domain(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_36]),
[final] ).
cnf(c_0_554,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(g,a),compose(domain(b),codomain(X1))) = compose(compose(g,a),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_29]),
[final] ).
cnf(c_0_555,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(a)
| compose(compose(a,codomain(X1)),compose(a,b)) = compose(a,compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_18]),
[final] ).
cnf(c_0_556,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(domain(X1),compose(h,a)),domain(X2)) = compose(domain(X1),compose(compose(h,a),domain(X2))) ),
inference(spm,[status(thm)],[c_0_240,c_0_30]),
[final] ).
cnf(c_0_557,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(a,codomain(X1)),compose(h,a)) = compose(a,compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_18]),
[final] ).
cnf(c_0_558,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),compose(h,a)),domain(X2)) = compose(codomain(X1),compose(compose(h,a),domain(X2))) ),
inference(spm,[status(thm)],[c_0_240,c_0_43]),
[final] ).
cnf(c_0_559,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,a)),domain(X1)) = compose(compose(a,b),compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_41]),
[final] ).
cnf(c_0_560,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(h)
| compose(compose(a,codomain(X1)),compose(g,a)) = compose(a,compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_18]),
[final] ).
cnf(c_0_561,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),domain(b)) = compose(compose(h,a),compose(codomain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_241,c_0_29]),
[final] ).
cnf(c_0_562,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(X1)) = compose(compose(h,compose(a,b)),compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_52]),
[final] ).
cnf(c_0_563,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),domain(X1)) = compose(compose(h,a),compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_58]),
[final] ).
cnf(c_0_564,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),domain(X1)) = compose(compose(g,a),compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_59]),
[final] ).
cnf(c_0_565,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,compose(h,a)),domain(X1)) = compose(a,compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_18]),
[final] ).
cnf(c_0_566,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),domain(b)) = compose(compose(h,compose(a,b)),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_242,c_0_52]),
[final] ).
cnf(c_0_567,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),domain(b)) = compose(compose(g,a),compose(codomain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_243,c_0_29]),
[final] ).
cnf(c_0_568,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(b)) = compose(compose(h,compose(a,b)),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_244,c_0_52]),
[final] ).
cnf(c_0_569,hypothesis,
( domain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(domain(X1),compose(g,a)),domain(X2)) = compose(domain(X1),compose(compose(g,a),domain(X2))) ),
inference(spm,[status(thm)],[c_0_245,c_0_30]),
[final] ).
cnf(c_0_570,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),compose(g,a)),domain(X2)) = compose(codomain(X1),compose(compose(g,a),domain(X2))) ),
inference(spm,[status(thm)],[c_0_245,c_0_43]),
[final] ).
cnf(c_0_571,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),domain(h)),compose(h,compose(a,b))) = compose(compose(h,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_246,c_0_53]),
[final] ).
cnf(c_0_572,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(g,a)),domain(X1)) = compose(compose(a,b),compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_41]),
[final] ).
cnf(c_0_573,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),domain(h)),compose(h,compose(a,b))) = compose(compose(g,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_247,c_0_53]),
[final] ).
cnf(c_0_574,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),domain(X1)) = compose(compose(h,compose(a,b)),compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_52]),
[final] ).
cnf(c_0_575,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),domain(X1)) = compose(compose(h,a),compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_58]),
[final] ).
cnf(c_0_576,hypothesis,
( codomain(X1) != domain(h)
| codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),g) = compose(compose(h,a),compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_248,c_0_29]),
[final] ).
cnf(c_0_577,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(domain(b),g)) = compose(compose(h,a),g) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_248]),c_0_127]),
[final] ).
cnf(c_0_578,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),domain(X1)) = compose(compose(g,a),compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_59]),
[final] ).
cnf(c_0_579,plain,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(domain(X1),codomain(X2)),domain(X3)) = compose(domain(X1),compose(codomain(X2),domain(X3))) ),
inference(spm,[status(thm)],[c_0_249,c_0_36]),
[final] ).
cnf(c_0_580,plain,
( domain(X1) != codomain(X2)
| codomain(X2) != codomain(X3)
| compose(compose(domain(X1),codomain(X2)),codomain(X3)) = compose(domain(X1),compose(codomain(X2),codomain(X3))) ),
inference(spm,[status(thm)],[c_0_249,c_0_29]),
[final] ).
cnf(c_0_581,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,compose(g,a)),domain(X1)) = compose(a,compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_18]),
[final] ).
cnf(c_0_582,hypothesis,
( codomain(X1) != domain(h)
| codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),g) = compose(compose(g,a),compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_250,c_0_29]),
[final] ).
cnf(c_0_583,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(codomain(X1),codomain(X2)),domain(X3)) = compose(codomain(X1),compose(codomain(X2),domain(X3))) ),
inference(spm,[status(thm)],[c_0_251,c_0_36]),
[final] ).
cnf(c_0_584,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(domain(b),g)) = compose(compose(g,a),g) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_250]),c_0_129]),
[final] ).
cnf(c_0_585,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(a)
| compose(compose(compose(a,b),a),domain(X1)) = compose(compose(a,b),compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_252,c_0_41]),
[final] ).
cnf(c_0_586,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),a),domain(X1)) = compose(compose(h,compose(a,b)),compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_252,c_0_52]),
[final] ).
cnf(c_0_587,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != codomain(X3)
| compose(compose(codomain(X1),codomain(X2)),codomain(X3)) = compose(codomain(X1),compose(codomain(X2),codomain(X3))) ),
inference(spm,[status(thm)],[c_0_251,c_0_29]),
[final] ).
cnf(c_0_588,hypothesis,
( codomain(X1) != domain(h)
| compose(codomain(X1),compose(codomain(X1),compose(h,compose(a,b)))) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_197,c_0_43]),
[final] ).
cnf(c_0_589,plain,
( domain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(domain(X1),domain(X2)),domain(X3)) = compose(domain(X1),compose(domain(X2),domain(X3))) ),
inference(spm,[status(thm)],[c_0_98,c_0_30]),
[final] ).
cnf(c_0_590,plain,
( codomain(X1) != domain(X2)
| domain(X2) != domain(X3)
| compose(compose(codomain(X1),domain(X2)),domain(X3)) = compose(codomain(X1),compose(domain(X2),domain(X3))) ),
inference(spm,[status(thm)],[c_0_98,c_0_43]),
[final] ).
cnf(c_0_591,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),h),compose(g,a)) = compose(compose(a,b),compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_195,c_0_23]),
[final] ).
cnf(c_0_592,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),g),compose(g,a)) = compose(compose(a,b),compose(g,compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_593,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),h),compose(h,a)) = compose(compose(a,b),compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_196,c_0_23]),
[final] ).
cnf(c_0_594,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),h),domain(X1)) = compose(compose(a,b),compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_41]),
[final] ).
cnf(c_0_595,hypothesis,
( codomain(b) != domain(h)
| domain(h) != domain(a)
| compose(compose(compose(a,b),g),compose(h,a)) = compose(compose(a,b),compose(g,compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_596,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),h),domain(X1)) = compose(compose(h,compose(a,b)),compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_52]),
[final] ).
cnf(c_0_597,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),compose(g,a)) = compose(compose(h,a),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_58]),
[final] ).
cnf(c_0_598,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),compose(g,a)) = compose(compose(g,a),compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_59]),
[final] ).
cnf(c_0_599,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),compose(g,a)) = compose(compose(h,a),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_58]),
[final] ).
cnf(c_0_600,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),g),domain(X1)) = compose(compose(a,b),compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_41]),
[final] ).
cnf(c_0_601,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),compose(g,a)) = compose(compose(g,a),compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_59]),
[final] ).
cnf(c_0_602,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),g),domain(X1)) = compose(compose(h,compose(a,b)),compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_52]),
[final] ).
cnf(c_0_603,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),compose(h,a)) = compose(compose(h,a),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_58]),
[final] ).
cnf(c_0_604,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),compose(h,a)) = compose(compose(g,a),compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_59]),
[final] ).
cnf(c_0_605,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),compose(h,a)) = compose(compose(h,a),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_58]),
[final] ).
cnf(c_0_606,plain,
( domain(X1) != domain(X2)
| domain(X2) != codomain(X3)
| compose(compose(domain(X1),domain(X2)),codomain(X3)) = compose(domain(X1),compose(domain(X2),codomain(X3))) ),
inference(spm,[status(thm)],[c_0_51,c_0_30]),
[final] ).
cnf(c_0_607,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),compose(h,a)) = compose(compose(g,a),compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_59]),
[final] ).
cnf(c_0_608,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),domain(a)),compose(a,b)) = compose(compose(a,b),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_222,c_0_41]),
[final] ).
cnf(c_0_609,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),compose(codomain(b),compose(a,b))) = compose(compose(a,b),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_223,c_0_41]),
[final] ).
cnf(c_0_610,plain,
( codomain(X1) != domain(X2)
| domain(X2) != codomain(X3)
| compose(compose(codomain(X1),domain(X2)),codomain(X3)) = compose(codomain(X1),compose(domain(X2),codomain(X3))) ),
inference(spm,[status(thm)],[c_0_51,c_0_43]),
[final] ).
cnf(c_0_611,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),compose(a,b)),codomain(b)) = compose(compose(a,b),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_235,c_0_41]),
[final] ).
cnf(c_0_612,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),domain(h)),compose(h,compose(a,b))) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_255,c_0_53]),
[final] ).
cnf(c_0_613,hypothesis,
( domain(a) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(h,domain(X1)),compose(g,a)) = compose(h,compose(domain(X1),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_614,hypothesis,
( domain(a) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(g,domain(X1)),compose(g,a)) = compose(g,compose(domain(X1),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_615,hypothesis,
( domain(a) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(h,domain(X1)),compose(h,a)) = compose(h,compose(domain(X1),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_616,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),compose(a,b)) = compose(h,compose(compose(a,b),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_617,hypothesis,
( domain(a) != domain(X1)
| domain(X1) != domain(h)
| compose(compose(g,domain(X1)),compose(h,a)) = compose(g,compose(domain(X1),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_618,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),compose(a,b)) = compose(g,compose(compose(a,b),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_41]),c_0_28]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_619,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,h),compose(h,compose(a,b))) = compose(a,compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_178,c_0_23]),
[final] ).
cnf(c_0_620,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,g),compose(h,compose(a,b))) = compose(a,compose(g,compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_621,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(domain(X1),a),domain(X2)) = compose(domain(X1),compose(a,domain(X2))) ),
inference(spm,[status(thm)],[c_0_252,c_0_30]),
[final] ).
cnf(c_0_622,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),h),compose(a,b)) = compose(compose(a,b),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_204,c_0_23]),
[final] ).
cnf(c_0_623,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(domain(X1),h),domain(X2)) = compose(domain(X1),compose(h,domain(X2))) ),
inference(spm,[status(thm)],[c_0_253,c_0_30]),
[final] ).
cnf(c_0_624,hypothesis,
( domain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(domain(X1),g),domain(X2)) = compose(domain(X1),compose(g,domain(X2))) ),
inference(spm,[status(thm)],[c_0_254,c_0_30]),
[final] ).
cnf(c_0_625,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),g),compose(a,b)) = compose(compose(a,b),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_626,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),domain(a)),compose(a,b)) = compose(domain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_222,c_0_30]),
[final] ).
cnf(c_0_627,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,compose(h,a)),domain(X1)) = compose(h,compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_23]),
[final] ).
cnf(c_0_628,hypothesis,
( domain(a) != domain(X1)
| compose(compose(h,domain(X1)),compose(a,b)) = compose(h,compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_61,c_0_27]),
[final] ).
cnf(c_0_629,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(codomain(X1),codomain(X2)),g) = compose(codomain(X1),compose(codomain(X2),g)) ),
inference(spm,[status(thm)],[c_0_256,c_0_29]),
[final] ).
cnf(c_0_630,hypothesis,
( domain(a) != domain(X1)
| compose(compose(g,domain(X1)),compose(a,b)) = compose(g,compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_62,c_0_27]),
[final] ).
cnf(c_0_631,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,compose(h,a)),domain(X1)) = compose(g,compose(compose(h,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_240,c_0_47]),
[final] ).
cnf(c_0_632,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,compose(g,a)),domain(X1)) = compose(h,compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_23]),
[final] ).
cnf(c_0_633,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,compose(g,a)),domain(X1)) = compose(g,compose(compose(g,a),domain(X1))) ),
inference(spm,[status(thm)],[c_0_245,c_0_47]),
[final] ).
cnf(c_0_634,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),h),domain(X1)) = compose(compose(h,a),compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_58]),
[final] ).
cnf(c_0_635,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),h),domain(X1)) = compose(compose(g,a),compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_59]),
[final] ).
cnf(c_0_636,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),g),domain(X1)) = compose(compose(h,a),compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_58]),
[final] ).
cnf(c_0_637,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),g),domain(X1)) = compose(compose(g,a),compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_59]),
[final] ).
cnf(c_0_638,hypothesis,
( codomain(b) != domain(h)
| compose(compose(a,b),compose(codomain(b),compose(h,a))) = compose(compose(a,b),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_41]),
[final] ).
cnf(c_0_639,hypothesis,
( codomain(b) != domain(h)
| compose(compose(a,b),compose(codomain(b),compose(g,a))) = compose(compose(a,b),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_41]),
[final] ).
cnf(c_0_640,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,a)),domain(b)) = compose(compose(a,b),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_242,c_0_41]),
[final] ).
cnf(c_0_641,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(g,a)),domain(b)) = compose(compose(a,b),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_244,c_0_41]),
[final] ).
cnf(c_0_642,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),a),domain(b)) = compose(compose(h,compose(a,b)),a) ),
inference(spm,[status(thm)],[c_0_257,c_0_52]),
[final] ).
cnf(c_0_643,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),compose(a,b)),codomain(b)) = compose(domain(X1),compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_644,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),compose(h,compose(a,b))),codomain(b)) = compose(domain(X1),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_645,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),compose(h,compose(a,b))),codomain(b)) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_646,hypothesis,
( domain(h) != domain(b)
| compose(a,compose(domain(b),compose(h,compose(a,b)))) = compose(a,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_259,c_0_53]),
[final] ).
cnf(c_0_647,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(h)
| compose(compose(domain(X1),codomain(X2)),g) = compose(domain(X1),compose(codomain(X2),g)) ),
inference(spm,[status(thm)],[c_0_134,c_0_29]),
[final] ).
cnf(c_0_648,hypothesis,
( domain(h) != domain(b)
| compose(domain(a),compose(a,compose(h,compose(a,b)))) = compose(a,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_260,c_0_53]),
[final] ).
cnf(c_0_649,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),domain(X1)),domain(X1)) = compose(compose(h,compose(a,b)),domain(X1)) ),
inference(spm,[status(thm)],[c_0_261,c_0_52]),
[final] ).
cnf(c_0_650,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(compose(h,compose(a,b)),codomain(X1)),codomain(X1)) = compose(compose(h,compose(a,b)),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_262,c_0_52]),
[final] ).
cnf(c_0_651,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(domain(h),codomain(X1)),g) = compose(domain(h),compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_263,c_0_29]),
[final] ).
cnf(c_0_652,hypothesis,
( codomain(X1) != domain(h)
| compose(codomain(X1),compose(codomain(X1),g)) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_264,c_0_29]),
[final] ).
cnf(c_0_653,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(h,compose(a,b))),codomain(b)) = compose(a,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_654,hypothesis,
( domain(X1) != domain(X2)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),domain(X2)) = compose(a,compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_18]),
[final] ).
cnf(c_0_655,hypothesis,
( domain(X1) != domain(X2)
| domain(a) != domain(X1)
| compose(compose(h,domain(X1)),domain(X2)) = compose(h,compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_23]),
[final] ).
cnf(c_0_656,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(h,compose(a,b)),X1),codomain(X1)) = compose(compose(h,compose(a,b)),X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_52]),
[final] ).
cnf(c_0_657,hypothesis,
( domain(X1) != domain(X2)
| domain(a) != domain(X1)
| compose(compose(g,domain(X1)),domain(X2)) = compose(g,compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_98,c_0_47]),
[final] ).
cnf(c_0_658,hypothesis,
( domain(X1) != codomain(X2)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),codomain(X2)) = compose(a,compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_18]),
[final] ).
cnf(c_0_659,hypothesis,
( domain(X1) != codomain(X2)
| domain(a) != domain(X1)
| compose(compose(h,domain(X1)),codomain(X2)) = compose(h,compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]),
[final] ).
cnf(c_0_660,hypothesis,
( domain(X1) != codomain(X2)
| domain(a) != domain(X1)
| compose(compose(g,domain(X1)),codomain(X2)) = compose(g,compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]),
[final] ).
cnf(c_0_661,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(h,codomain(X1)),compose(h,a)) = compose(h,compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_23]),
[final] ).
cnf(c_0_662,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,h),compose(h,compose(a,b))) = compose(h,compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_183,c_0_23]),
[final] ).
cnf(c_0_663,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),compose(domain(X1),compose(a,b))) = compose(domain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_223,c_0_30]),
[final] ).
cnf(c_0_664,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(a,b),domain(X1)),domain(X1)) = compose(compose(a,b),domain(X1)) ),
inference(spm,[status(thm)],[c_0_261,c_0_41]),
[final] ).
cnf(c_0_665,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(h,a),domain(X1)),domain(X1)) = compose(compose(h,a),domain(X1)) ),
inference(spm,[status(thm)],[c_0_261,c_0_58]),
[final] ).
cnf(c_0_666,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,g),compose(h,compose(a,b))) = compose(h,compose(g,compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_667,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,h),compose(h,compose(a,b))) = compose(g,compose(h,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_184,c_0_23]),
[final] ).
cnf(c_0_668,hypothesis,
( domain(b) != domain(X1)
| compose(compose(compose(g,a),domain(X1)),domain(X1)) = compose(compose(g,a),domain(X1)) ),
inference(spm,[status(thm)],[c_0_261,c_0_59]),
[final] ).
cnf(c_0_669,hypothesis,
( codomain(b) != codomain(X1)
| compose(compose(compose(a,b),codomain(X1)),codomain(X1)) = compose(compose(a,b),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_262,c_0_41]),
[final] ).
cnf(c_0_670,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,g),compose(h,compose(a,b))) = compose(g,compose(g,compose(h,compose(a,b)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_671,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(g,codomain(X1)),compose(h,a)) = compose(g,compose(codomain(X1),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_118,c_0_47]),
[final] ).
cnf(c_0_672,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(h,codomain(X1)),compose(g,a)) = compose(h,compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_23]),
[final] ).
cnf(c_0_673,hypothesis,
( codomain(X1) != domain(a)
| codomain(X1) != domain(h)
| compose(compose(g,codomain(X1)),compose(g,a)) = compose(g,compose(codomain(X1),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_119,c_0_47]),
[final] ).
cnf(c_0_674,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(X1,compose(h,compose(a,b))),compose(h,compose(a,b))) = compose(X1,compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_675,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),domain(h)),compose(g,a)) = compose(compose(a,b),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_236,c_0_41]),
[final] ).
cnf(c_0_676,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),domain(h)),compose(h,a)) = compose(compose(a,b),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_237,c_0_41]),
[final] ).
cnf(c_0_677,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),compose(h,a)),b) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_266,c_0_29]),
[final] ).
cnf(c_0_678,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),h),compose(g,a)) = compose(compose(h,a),compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_188,c_0_23]),
[final] ).
cnf(c_0_679,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),g),compose(g,a)) = compose(compose(h,a),compose(g,compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_680,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),h),compose(g,a)) = compose(compose(g,a),compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_189,c_0_23]),
[final] ).
cnf(c_0_681,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),g),compose(g,a)) = compose(compose(g,a),compose(g,compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_682,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,h),compose(g,a)) = compose(a,compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_202,c_0_23]),
[final] ).
cnf(c_0_683,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,g),compose(g,a)) = compose(a,compose(g,compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_684,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),compose(g,a)),b) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_267,c_0_29]),
[final] ).
cnf(c_0_685,hypothesis,
( domain(X1) != domain(h)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),g),codomain(X2)) = compose(domain(X1),compose(g,codomain(X2))) ),
inference(spm,[status(thm)],[c_0_145,c_0_29]),
[final] ).
cnf(c_0_686,hypothesis,
( domain(X1) != domain(h)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),h),codomain(X2)) = compose(domain(X1),compose(h,codomain(X2))) ),
inference(spm,[status(thm)],[c_0_146,c_0_29]),
[final] ).
cnf(c_0_687,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),domain(X2)) = compose(a,compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_84,c_0_36]),
[final] ).
cnf(c_0_688,hypothesis,
( domain(X1) != domain(b)
| compose(compose(a,domain(X1)),domain(b)) = compose(a,compose(domain(X1),domain(b))) ),
inference(spm,[status(thm)],[c_0_268,c_0_30]),
[final] ).
cnf(c_0_689,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(X1,compose(h,compose(a,b))),compose(g,a)) = compose(X1,compose(compose(h,compose(a,b)),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_690,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),h),compose(h,a)) = compose(compose(h,a),compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_191,c_0_23]),
[final] ).
cnf(c_0_691,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(h,a)),compose(g,a)) = compose(a,compose(compose(h,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_114,c_0_18]),
[final] ).
cnf(c_0_692,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(h,a),g),compose(h,a)) = compose(compose(h,a),compose(g,compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_693,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),h),compose(h,a)) = compose(compose(g,a),compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_193,c_0_23]),
[final] ).
cnf(c_0_694,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(compose(g,a),g),compose(h,a)) = compose(compose(g,a),compose(g,compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_695,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(g,a)),compose(g,a)) = compose(a,compose(compose(g,a),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_115,c_0_18]),
[final] ).
cnf(c_0_696,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),domain(X2)) = compose(h,compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_85,c_0_36]),
[final] ).
cnf(c_0_697,hypothesis,
( domain(X1) != domain(a)
| compose(compose(h,domain(X1)),domain(a)) = compose(h,compose(domain(X1),domain(a))) ),
inference(spm,[status(thm)],[c_0_269,c_0_30]),
[final] ).
cnf(c_0_698,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),domain(X2)) = compose(g,compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_86,c_0_36]),
[final] ).
cnf(c_0_699,hypothesis,
( domain(X1) != domain(a)
| compose(compose(g,domain(X1)),domain(a)) = compose(g,compose(domain(X1),domain(a))) ),
inference(spm,[status(thm)],[c_0_270,c_0_30]),
[final] ).
cnf(c_0_700,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),g),compose(a,b)) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_271,c_0_29]),
[final] ).
cnf(c_0_701,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(h,a)),g) = compose(domain(X1),compose(compose(h,a),g)) ),
inference(spm,[status(thm)],[c_0_139,c_0_42]),
[final] ).
cnf(c_0_702,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,h),compose(h,a)) = compose(a,compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_203,c_0_23]),
[final] ).
cnf(c_0_703,hypothesis,
( domain(h) != domain(b)
| domain(h) != domain(a)
| compose(compose(a,g),compose(h,a)) = compose(a,compose(g,compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_47]),c_0_42]),
[final] ).
cnf(c_0_704,hypothesis,
( domain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(compose(domain(X1),a),codomain(X2)) = compose(domain(X1),compose(a,codomain(X2))) ),
inference(spm,[status(thm)],[c_0_152,c_0_29]),
[final] ).
cnf(c_0_705,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),h),compose(a,b)) = compose(codomain(X1),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_272,c_0_29]),
[final] ).
cnf(c_0_706,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(b)
| compose(compose(domain(X1),compose(g,a)),g) = compose(domain(X1),compose(compose(g,a),g)) ),
inference(spm,[status(thm)],[c_0_140,c_0_42]),
[final] ).
cnf(c_0_707,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),g),compose(h,a)) = compose(domain(X1),compose(g,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_145,c_0_57]),
[final] ).
cnf(c_0_708,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),g),compose(g,a)) = compose(domain(X1),compose(g,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_145,c_0_56]),
[final] ).
cnf(c_0_709,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),h),compose(h,a)) = compose(domain(X1),compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_146,c_0_57]),
[final] ).
cnf(c_0_710,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(h)
| compose(compose(X1,compose(h,compose(a,b))),compose(h,a)) = compose(X1,compose(compose(h,compose(a,b)),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_711,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),h),compose(g,a)) = compose(domain(X1),compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_146,c_0_56]),
[final] ).
cnf(c_0_712,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(h,a)),compose(h,a)) = compose(a,compose(compose(h,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_116,c_0_18]),
[final] ).
cnf(c_0_713,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(g,a)),compose(h,a)) = compose(a,compose(compose(g,a),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_117,c_0_18]),
[final] ).
cnf(c_0_714,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),a),domain(X2)) = compose(codomain(X1),compose(a,domain(X2))) ),
inference(spm,[status(thm)],[c_0_252,c_0_43]),
[final] ).
cnf(c_0_715,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(codomain(X1),h),domain(X2)) = compose(codomain(X1),compose(h,domain(X2))) ),
inference(spm,[status(thm)],[c_0_253,c_0_43]),
[final] ).
cnf(c_0_716,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(codomain(X1),g),domain(X2)) = compose(codomain(X1),compose(g,domain(X2))) ),
inference(spm,[status(thm)],[c_0_254,c_0_43]),
[final] ).
cnf(c_0_717,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),compose(h,a)),X2) = compose(codomain(X1),compose(compose(h,a),X2)) ),
inference(spm,[status(thm)],[c_0_81,c_0_43]),
[final] ).
cnf(c_0_718,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(g,a)) = compose(h,compose(compose(a,b),compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_719,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(g,a)) = compose(g,compose(compose(a,b),compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_41]),c_0_28]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_720,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(h,a)) = compose(h,compose(compose(a,b),compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_41]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_721,hypothesis,
( codomain(b) != domain(h)
| compose(compose(h,compose(a,b)),compose(h,a)) = compose(g,compose(compose(a,b),compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_41]),c_0_28]),c_0_16]),c_0_23])]),
[final] ).
cnf(c_0_722,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),domain(a)),compose(a,b)) = compose(codomain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_222,c_0_43]),
[final] ).
cnf(c_0_723,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(h,a)),X1) = compose(compose(a,b),compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_41]),
[final] ).
cnf(c_0_724,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),b) != compose(h,compose(a,b))
| compose(h,compose(a,b)) = compose(h,a) ),
inference(spm,[status(thm)],[c_0_170,c_0_52]),
[final] ).
cnf(c_0_725,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),b) != compose(h,compose(a,b))
| compose(h,compose(a,b)) = compose(g,a) ),
inference(spm,[status(thm)],[c_0_273,c_0_52]),
[final] ).
cnf(c_0_726,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),a) != compose(compose(h,a),a)
| compose(h,compose(a,b)) = compose(h,a) ),
inference(spm,[status(thm)],[c_0_160,c_0_52]),
[final] ).
cnf(c_0_727,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,domain(h)),compose(h,compose(a,b))) = compose(a,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_274,c_0_53]),
[final] ).
cnf(c_0_728,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),compose(a,b)) = compose(h,compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_23]),
[final] ).
cnf(c_0_729,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),compose(a,b)),codomain(b)) = compose(codomain(X1),compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_730,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),compose(a,b)) = compose(g,compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_47]),
[final] ).
cnf(c_0_731,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(h,a)),X1) = compose(compose(h,compose(a,b)),compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_52]),
[final] ).
cnf(c_0_732,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),X1) = compose(compose(h,a),compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_58]),
[final] ).
cnf(c_0_733,hypothesis,
( domain(X1) != domain(h)
| compose(domain(X1),compose(domain(X1),compose(h,a))) = compose(domain(X1),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_30]),
[final] ).
cnf(c_0_734,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),X1) = compose(compose(g,a),compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_59]),
[final] ).
cnf(c_0_735,hypothesis,
( domain(X1) != domain(h)
| compose(domain(X1),compose(domain(X1),compose(g,a))) = compose(domain(X1),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_30]),
[final] ).
cnf(c_0_736,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),compose(h,a)),domain(b)) = compose(domain(X1),compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_737,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,compose(h,a)),X1) = compose(a,compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_18]),
[final] ).
cnf(c_0_738,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),compose(g,a)),domain(b)) = compose(domain(X1),compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_739,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(h,a)),compose(g,a)) = compose(h,compose(compose(h,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_740,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),a) != compose(compose(g,a),a)
| compose(h,compose(a,b)) = compose(g,a) ),
inference(spm,[status(thm)],[c_0_161,c_0_52]),
[final] ).
cnf(c_0_741,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(g,a)),compose(g,a)) = compose(h,compose(compose(g,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_742,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(h,a)),compose(g,a)) = compose(g,compose(compose(h,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_743,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(g,a)),compose(g,a)) = compose(g,compose(compose(g,a),compose(g,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_744,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(h,a)),compose(h,a)) = compose(h,compose(compose(h,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_745,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(h,compose(g,a)),compose(h,a)) = compose(h,compose(compose(g,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_746,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(h,a)),compose(h,a)) = compose(g,compose(compose(h,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_747,hypothesis,
( domain(h) != domain(a)
| domain(h) != domain(b)
| compose(compose(g,compose(g,a)),compose(h,a)) = compose(g,compose(compose(g,a),compose(h,a))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_748,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),h),compose(a,b)) = compose(compose(h,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_206,c_0_23]),
[final] ).
cnf(c_0_749,hypothesis,
( codomain(X1) != domain(h)
| domain(b) != domain(X2)
| compose(compose(codomain(X1),compose(g,a)),X2) = compose(codomain(X1),compose(compose(g,a),X2)) ),
inference(spm,[status(thm)],[c_0_82,c_0_43]),
[final] ).
cnf(c_0_750,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),g),compose(a,b)) = compose(compose(h,a),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_751,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),h),compose(a,b)) = compose(compose(g,a),compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_208,c_0_23]),
[final] ).
cnf(c_0_752,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),compose(g,a)),X1) = compose(compose(a,b),compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_41]),
[final] ).
cnf(c_0_753,hypothesis,
( codomain(X1) != domain(h)
| codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),g) = compose(a,compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_275,c_0_29]),
[final] ).
cnf(c_0_754,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),compose(g,a)),X1) = compose(compose(h,compose(a,b)),compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_52]),
[final] ).
cnf(c_0_755,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),g),compose(a,b)) = compose(compose(g,a),compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_756,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(h,compose(a,b))) = compose(h,compose(a,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_66,c_0_53]),
[final] ).
cnf(c_0_757,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(h,compose(a,b))) = compose(g,compose(a,compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_83,c_0_53]),
[final] ).
cnf(c_0_758,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),h),domain(a)) = compose(compose(h,compose(a,b)),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_52]),
[final] ).
cnf(c_0_759,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),X1) = compose(compose(h,a),compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_58]),
[final] ).
cnf(c_0_760,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),g),domain(a)) = compose(compose(h,compose(a,b)),g) ),
inference(spm,[status(thm)],[c_0_277,c_0_52]),
[final] ).
cnf(c_0_761,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = codomain(b) ),
inference(spm,[status(thm)],[c_0_278,c_0_52]),
[final] ).
cnf(c_0_762,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),compose(codomain(X1),compose(a,b))) = compose(codomain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_223,c_0_43]),
[final] ).
cnf(c_0_763,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(compose(h,a),codomain(X1)),codomain(X1)) = compose(compose(h,a),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_262,c_0_58]),
[final] ).
cnf(c_0_764,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(compose(g,a),codomain(X1)),codomain(X1)) = compose(compose(g,a),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_262,c_0_59]),
[final] ).
cnf(c_0_765,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),X1) = compose(compose(g,a),compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_59]),
[final] ).
cnf(c_0_766,hypothesis,
( domain(h) != domain(a)
| compose(h,compose(domain(a),compose(h,compose(a,b)))) = compose(h,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_279,c_0_53]),
[final] ).
cnf(c_0_767,hypothesis,
( domain(h) != domain(a)
| compose(g,compose(domain(a),compose(h,compose(a,b)))) = compose(g,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_280,c_0_53]),
[final] ).
cnf(c_0_768,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,compose(g,a)),X1) = compose(a,compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_18]),
[final] ).
cnf(c_0_769,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(domain(b),compose(h,a))) = compose(compose(h,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_58]),
[final] ).
cnf(c_0_770,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(domain(b),compose(h,a))) = compose(compose(g,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_59]),
[final] ).
cnf(c_0_771,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(domain(b),compose(g,a))) = compose(compose(h,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_58]),
[final] ).
cnf(c_0_772,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(domain(b),compose(g,a))) = compose(compose(g,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_59]),
[final] ).
cnf(c_0_773,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(h,a)),domain(b)) = compose(compose(h,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_242,c_0_58]),
[final] ).
cnf(c_0_774,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(h,a)),domain(b)) = compose(compose(g,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_242,c_0_59]),
[final] ).
cnf(c_0_775,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),compose(g,a)),domain(b)) = compose(compose(h,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_244,c_0_58]),
[final] ).
cnf(c_0_776,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),compose(g,a)),domain(b)) = compose(compose(g,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_244,c_0_59]),
[final] ).
cnf(c_0_777,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,compose(h,compose(a,b))),codomain(b)) = compose(h,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_778,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,compose(h,compose(a,b))),codomain(b)) = compose(g,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_779,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,h),compose(g,a)) = compose(h,compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_218,c_0_23]),
[final] ).
cnf(c_0_780,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,g),compose(g,a)) = compose(h,compose(g,compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_781,hypothesis,
( codomain(X1) != domain(h)
| compose(codomain(X1),compose(codomain(X1),compose(h,a))) = compose(codomain(X1),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_43]),
[final] ).
cnf(c_0_782,hypothesis,
( codomain(X1) != domain(h)
| compose(codomain(X1),compose(codomain(X1),compose(g,a))) = compose(codomain(X1),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_43]),
[final] ).
cnf(c_0_783,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,h),compose(g,a)) = compose(g,compose(h,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_219,c_0_23]),
[final] ).
cnf(c_0_784,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,g),compose(g,a)) = compose(g,compose(g,compose(g,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_785,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,h),compose(a,b)) = compose(a,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_210,c_0_23]),
[final] ).
cnf(c_0_786,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,g),compose(a,b)) = compose(a,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_787,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,h),compose(h,a)) = compose(h,compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_220,c_0_23]),
[final] ).
cnf(c_0_788,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,g),compose(h,a)) = compose(h,compose(g,compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_789,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,h),compose(a,b)) = compose(h,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_211,c_0_23]),
[final] ).
cnf(c_0_790,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,g),compose(a,b)) = compose(h,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_791,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),compose(h,a)),domain(b)) = compose(codomain(X1),compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_792,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,h),compose(a,b)) = compose(g,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_212,c_0_23]),
[final] ).
cnf(c_0_793,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,g),compose(a,b)) = compose(g,compose(h,compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_47]),c_0_28]),c_0_42]),
[final] ).
cnf(c_0_794,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,h),compose(h,a)) = compose(g,compose(h,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_221,c_0_23]),
[final] ).
cnf(c_0_795,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,g),compose(h,a)) = compose(g,compose(g,compose(h,a))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_47]),c_0_42])]),
[final] ).
cnf(c_0_796,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,compose(h,a)),X1) = compose(h,compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_23]),
[final] ).
cnf(c_0_797,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,compose(h,a)),X1) = compose(g,compose(compose(h,a),X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_47]),
[final] ).
cnf(c_0_798,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,compose(g,a)),X1) = compose(h,compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_23]),
[final] ).
cnf(c_0_799,hypothesis,
( domain(b) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,compose(g,a)),X1) = compose(g,compose(compose(g,a),X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_47]),
[final] ).
cnf(c_0_800,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),compose(g,a)),domain(b)) = compose(codomain(X1),compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_801,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),domain(h)),compose(h,a)) = compose(compose(h,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_246,c_0_57]),
[final] ).
cnf(c_0_802,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),domain(h)),compose(g,a)) = compose(compose(h,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_246,c_0_56]),
[final] ).
cnf(c_0_803,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),domain(h)),g) = compose(compose(h,a),g) ),
inference(spm,[status(thm)],[c_0_246,c_0_42]),
[final] ).
cnf(c_0_804,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(a)
| compose(compose(X1,compose(h,compose(a,b))),compose(a,b)) = compose(X1,compose(compose(h,compose(a,b)),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_805,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),domain(h)),compose(h,a)) = compose(compose(g,a),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_247,c_0_57]),
[final] ).
cnf(c_0_806,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),domain(h)),compose(g,a)) = compose(compose(g,a),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_247,c_0_56]),
[final] ).
cnf(c_0_807,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),domain(h)),g) = compose(compose(g,a),g) ),
inference(spm,[status(thm)],[c_0_247,c_0_42]),
[final] ).
cnf(c_0_808,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),domain(h)),compose(h,a)) = compose(domain(X1),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_133,c_0_57]),
[final] ).
cnf(c_0_809,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),domain(h)),compose(g,a)) = compose(domain(X1),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_133,c_0_56]),
[final] ).
cnf(c_0_810,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),g),g) = compose(domain(X1),compose(g,g)) ),
inference(spm,[status(thm)],[c_0_145,c_0_42]),
[final] ).
cnf(c_0_811,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),a) != compose(domain(b),a)
| compose(h,compose(a,b)) = domain(b) ),
inference(spm,[status(thm)],[c_0_283,c_0_52]),
[final] ).
cnf(c_0_812,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),g),a) = compose(codomain(X1),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_284,c_0_29]),
[final] ).
cnf(c_0_813,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,domain(h)),compose(h,compose(a,b))) = compose(h,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_285,c_0_53]),
[final] ).
cnf(c_0_814,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,domain(h)),compose(h,compose(a,b))) = compose(g,compose(h,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_286,c_0_53]),
[final] ).
cnf(c_0_815,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),g),X1) = compose(compose(a,b),compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_41]),
[final] ).
cnf(c_0_816,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),g),X1) = compose(compose(h,compose(a,b)),compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_52]),
[final] ).
cnf(c_0_817,hypothesis,
( domain(X1) != domain(h)
| domain(h) != domain(a)
| compose(compose(domain(X1),h),g) = compose(domain(X1),compose(h,g)) ),
inference(spm,[status(thm)],[c_0_146,c_0_42]),
[final] ).
cnf(c_0_818,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),g),X1) = compose(compose(h,a),compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_58]),
[final] ).
cnf(c_0_819,hypothesis,
( domain(b) != domain(X1)
| compose(a,compose(domain(b),domain(X1))) = compose(a,domain(X1)) ),
inference(spm,[status(thm)],[c_0_259,c_0_36]),
[final] ).
cnf(c_0_820,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),g),X1) = compose(compose(g,a),compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_59]),
[final] ).
cnf(c_0_821,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),h),a) = compose(codomain(X1),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_287,c_0_29]),
[final] ).
cnf(c_0_822,hypothesis,
( codomain(X1) != domain(b)
| compose(a,compose(domain(b),codomain(X1))) = compose(a,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_259,c_0_29]),
[final] ).
cnf(c_0_823,hypothesis,
( domain(h) != domain(b)
| compose(a,compose(domain(b),g)) = compose(a,g) ),
inference(spm,[status(thm)],[c_0_259,c_0_42]),
[final] ).
cnf(c_0_824,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(a,b),h),X1) = compose(compose(a,b),compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_41]),
[final] ).
cnf(c_0_825,hypothesis,
( domain(a) != domain(X1)
| codomain(b) != domain(h)
| compose(compose(compose(h,compose(a,b)),h),X1) = compose(compose(h,compose(a,b)),compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_52]),
[final] ).
cnf(c_0_826,hypothesis,
( codomain(X1) != domain(h)
| codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),g) = compose(h,compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_288,c_0_29]),
[final] ).
cnf(c_0_827,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),domain(h)),compose(h,a)) = compose(codomain(X1),compose(h,a)) ),
inference(spm,[status(thm)],[c_0_255,c_0_57]),
[final] ).
cnf(c_0_828,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),domain(h)),compose(g,a)) = compose(codomain(X1),compose(g,a)) ),
inference(spm,[status(thm)],[c_0_255,c_0_56]),
[final] ).
cnf(c_0_829,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(X1,compose(a,b)),compose(a,b)) = compose(X1,compose(compose(a,b),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_289,c_0_27]),
[final] ).
cnf(c_0_830,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(X1,compose(a,b)),compose(h,compose(a,b))) = compose(X1,compose(compose(a,b),compose(h,compose(a,b)))) ),
inference(spm,[status(thm)],[c_0_289,c_0_53]),
[final] ).
cnf(c_0_831,hypothesis,
( codomain(X1) != domain(h)
| codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),g) = compose(g,compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_290,c_0_29]),
[final] ).
cnf(c_0_832,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(X1,compose(a,b)),compose(h,a)) = compose(X1,compose(compose(a,b),compose(h,a))) ),
inference(spm,[status(thm)],[c_0_289,c_0_57]),
[final] ).
cnf(c_0_833,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(h)
| compose(compose(X1,compose(a,b)),compose(g,a)) = compose(X1,compose(compose(a,b),compose(g,a))) ),
inference(spm,[status(thm)],[c_0_289,c_0_56]),
[final] ).
cnf(c_0_834,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),domain(h)),g) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_291,c_0_29]),
[final] ).
cnf(c_0_835,hypothesis,
( domain(a) != domain(X1)
| compose(h,compose(domain(a),domain(X1))) = compose(h,domain(X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_36]),
[final] ).
cnf(c_0_836,hypothesis,
( domain(a) != domain(X1)
| compose(g,compose(domain(a),domain(X1))) = compose(g,domain(X1)) ),
inference(spm,[status(thm)],[c_0_280,c_0_36]),
[final] ).
cnf(c_0_837,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,domain(h)),compose(h,a)) = compose(a,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_274,c_0_57]),
[final] ).
cnf(c_0_838,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,domain(h)),compose(g,a)) = compose(a,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_274,c_0_56]),
[final] ).
cnf(c_0_839,hypothesis,
( codomain(X1) != domain(a)
| compose(h,compose(domain(a),codomain(X1))) = compose(h,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_29]),
[final] ).
cnf(c_0_840,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,domain(h)),g) = compose(a,g) ),
inference(spm,[status(thm)],[c_0_274,c_0_42]),
[final] ).
cnf(c_0_841,hypothesis,
( codomain(X1) != domain(a)
| compose(g,compose(domain(a),codomain(X1))) = compose(g,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_280,c_0_29]),
[final] ).
cnf(c_0_842,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,domain(h)),compose(h,a)) = compose(h,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_285,c_0_57]),
[final] ).
cnf(c_0_843,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,domain(h)),compose(g,a)) = compose(h,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_285,c_0_56]),
[final] ).
cnf(c_0_844,hypothesis,
( domain(h) != domain(a)
| compose(h,compose(domain(a),g)) = compose(h,g) ),
inference(spm,[status(thm)],[c_0_279,c_0_42]),
[final] ).
cnf(c_0_845,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,domain(h)),g) = compose(h,g) ),
inference(spm,[status(thm)],[c_0_285,c_0_42]),
[final] ).
cnf(c_0_846,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,domain(h)),compose(h,a)) = compose(g,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_286,c_0_57]),
[final] ).
cnf(c_0_847,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,domain(h)),compose(g,a)) = compose(g,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_286,c_0_56]),
[final] ).
cnf(c_0_848,hypothesis,
( domain(h) != domain(a)
| compose(g,compose(domain(a),g)) = compose(g,g) ),
inference(spm,[status(thm)],[c_0_280,c_0_42]),
[final] ).
cnf(c_0_849,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,domain(h)),g) = compose(g,g) ),
inference(spm,[status(thm)],[c_0_286,c_0_42]),
[final] ).
cnf(c_0_850,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(h,a),h),X1) = compose(compose(h,a),compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_58]),
[final] ).
cnf(c_0_851,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(compose(g,a),h),X1) = compose(compose(g,a),compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_59]),
[final] ).
cnf(c_0_852,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(h,compose(a,b)),compose(h,compose(a,b)))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_853,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(codomain(X1),g),X2) = compose(codomain(X1),compose(g,X2)) ),
inference(spm,[status(thm)],[c_0_87,c_0_43]),
[final] ).
cnf(c_0_854,hypothesis,
( codomain(X1) != domain(h)
| domain(a) != domain(X2)
| compose(compose(codomain(X1),h),X2) = compose(codomain(X1),compose(h,X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_43]),
[final] ).
cnf(c_0_855,hypothesis,
( domain(X1) != domain(a)
| domain(h) != domain(b)
| compose(compose(domain(X1),a),g) = compose(domain(X1),compose(a,g)) ),
inference(spm,[status(thm)],[c_0_152,c_0_42]),
[final] ).
cnf(c_0_856,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,h),domain(X1)) = compose(a,compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_18]),
[final] ).
cnf(c_0_857,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,g),domain(X1)) = compose(a,compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_18]),
[final] ).
cnf(c_0_858,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),a),domain(b)) = compose(compose(a,b),a) ),
inference(spm,[status(thm)],[c_0_257,c_0_41]),
[final] ).
cnf(c_0_859,hypothesis,
( domain(h) != domain(b)
| compose(a,compose(domain(b),compose(h,a))) = compose(a,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_18]),
[final] ).
cnf(c_0_860,hypothesis,
( domain(h) != domain(a)
| compose(h,compose(domain(a),compose(h,a))) = compose(h,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_23]),
[final] ).
cnf(c_0_861,hypothesis,
( domain(h) != domain(a)
| compose(g,compose(domain(a),compose(h,a))) = compose(g,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_230,c_0_47]),
[final] ).
cnf(c_0_862,hypothesis,
( domain(h) != domain(b)
| compose(a,compose(domain(b),compose(g,a))) = compose(a,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_18]),
[final] ).
cnf(c_0_863,hypothesis,
( domain(h) != domain(a)
| compose(h,compose(domain(a),compose(g,a))) = compose(h,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_23]),
[final] ).
cnf(c_0_864,hypothesis,
( domain(h) != domain(a)
| compose(g,compose(domain(a),compose(g,a))) = compose(g,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_231,c_0_47]),
[final] ).
cnf(c_0_865,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),b) = compose(codomain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_293,c_0_29]),
[final] ).
cnf(c_0_866,hypothesis,
( domain(b) != domain(X1)
| compose(domain(a),compose(a,domain(X1))) = compose(a,domain(X1)) ),
inference(spm,[status(thm)],[c_0_260,c_0_36]),
[final] ).
cnf(c_0_867,hypothesis,
( domain(h) != domain(b)
| compose(domain(a),compose(a,compose(h,a))) = compose(a,compose(h,a)) ),
inference(spm,[status(thm)],[c_0_260,c_0_57]),
[final] ).
cnf(c_0_868,hypothesis,
( domain(h) != domain(b)
| compose(domain(a),compose(a,compose(g,a))) = compose(a,compose(g,a)) ),
inference(spm,[status(thm)],[c_0_260,c_0_56]),
[final] ).
cnf(c_0_869,hypothesis,
( codomain(X1) != domain(b)
| compose(domain(a),compose(a,codomain(X1))) = compose(a,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_260,c_0_29]),
[final] ).
cnf(c_0_870,hypothesis,
( domain(h) != domain(b)
| compose(domain(a),compose(a,g)) = compose(a,g) ),
inference(spm,[status(thm)],[c_0_260,c_0_42]),
[final] ).
cnf(c_0_871,hypothesis,
( codomain(b) != domain(a)
| codomain(compose(compose(h,compose(a,b)),compose(a,b))) = codomain(b) ),
inference(spm,[status(thm)],[c_0_294,c_0_52]),
[final] ).
cnf(c_0_872,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(a)
| compose(compose(compose(a,b),a),X1) = compose(compose(a,b),compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_41]),
[final] ).
cnf(c_0_873,hypothesis,
( domain(b) != domain(X1)
| codomain(b) != domain(a)
| compose(compose(compose(h,compose(a,b)),a),X1) = compose(compose(h,compose(a,b)),compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_52]),
[final] ).
cnf(c_0_874,hypothesis,
( codomain(b) != domain(a)
| domain(compose(compose(h,compose(a,b)),compose(a,b))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_875,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(a,b),compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_876,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(a,b),compose(h,compose(a,b)))) = domain(a) ),
inference(spm,[status(thm)],[c_0_297,c_0_53]),
[final] ).
cnf(c_0_877,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(X3)
| compose(compose(X1,codomain(X2)),domain(X3)) = compose(X1,compose(codomain(X2),domain(X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_878,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(X2)
| compose(compose(X1,compose(a,b)),domain(X2)) = compose(X1,compose(compose(a,b),domain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_879,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),h),domain(a)) = compose(compose(a,b),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_41]),
[final] ).
cnf(c_0_880,plain,
( domain(X1) != domain(X2)
| compose(compose(domain(X1),domain(X2)),domain(X2)) = compose(domain(X1),domain(X2)) ),
inference(spm,[status(thm)],[c_0_261,c_0_30]),
[final] ).
cnf(c_0_881,hypothesis,
( codomain(b) != domain(h)
| compose(compose(compose(a,b),g),domain(a)) = compose(compose(a,b),g) ),
inference(spm,[status(thm)],[c_0_277,c_0_41]),
[final] ).
cnf(c_0_882,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(X2)
| compose(compose(X1,compose(h,compose(a,b))),domain(X2)) = compose(X1,compose(compose(h,compose(a,b)),domain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_883,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),domain(X2)),domain(X2)) = compose(codomain(X1),domain(X2)) ),
inference(spm,[status(thm)],[c_0_261,c_0_43]),
[final] ).
cnf(c_0_884,plain,
( domain(X1) != codomain(X2)
| compose(compose(domain(X1),codomain(X2)),codomain(X2)) = compose(domain(X1),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_262,c_0_30]),
[final] ).
cnf(c_0_885,plain,
( codomain(X1) != codomain(X2)
| compose(compose(codomain(X1),codomain(X2)),codomain(X2)) = compose(codomain(X1),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_262,c_0_43]),
[final] ).
cnf(c_0_886,hypothesis,
( domain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(domain(X1),b) != compose(codomain(X2),b)
| domain(X1) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_298,c_0_29]),
[final] ).
cnf(c_0_887,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,h),domain(X1)) = compose(h,compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_23]),
[final] ).
cnf(c_0_888,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,h),domain(X1)) = compose(g,compose(h,domain(X1))) ),
inference(spm,[status(thm)],[c_0_253,c_0_47]),
[final] ).
cnf(c_0_889,hypothesis,
( domain(X1) != domain(a)
| codomain(X2) != domain(b)
| compose(domain(X1),a) != compose(codomain(X2),a)
| domain(X1) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_299,c_0_29]),
[final] ).
cnf(c_0_890,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,g),domain(X1)) = compose(h,compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_23]),
[final] ).
cnf(c_0_891,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,g),domain(X1)) = compose(g,compose(g,domain(X1))) ),
inference(spm,[status(thm)],[c_0_254,c_0_47]),
[final] ).
cnf(c_0_892,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(h,a)),domain(b)) = compose(a,compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_893,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,compose(g,a)),domain(b)) = compose(a,compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_894,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),domain(b)) = compose(domain(X1),a) ),
inference(spm,[status(thm)],[c_0_257,c_0_30]),
[final] ).
cnf(c_0_895,hypothesis,
( domain(b) != domain(X1)
| compose(compose(h,a),domain(X1)) = compose(h,compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_66,c_0_36]),
[final] ).
cnf(c_0_896,hypothesis,
( domain(b) != domain(X1)
| compose(compose(g,a),domain(X1)) = compose(g,compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_83,c_0_36]),
[final] ).
cnf(c_0_897,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(h,compose(a,b)),compose(g,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_300,c_0_52]),
[final] ).
cnf(c_0_898,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(h,compose(a,b)),compose(h,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_301,c_0_52]),
[final] ).
cnf(c_0_899,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(h,a),compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_900,hypothesis,
( codomain(b) != domain(a)
| codomain(compose(compose(a,b),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_901,plain,
( codomain(X1) != codomain(X2)
| codomain(X2) != codomain(X3)
| compose(compose(X1,codomain(X2)),codomain(X3)) = compose(X1,compose(codomain(X2),codomain(X3))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_902,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,domain(X1)),domain(X1)) = compose(a,domain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_903,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != codomain(X2)
| compose(compose(X1,compose(a,b)),codomain(X2)) = compose(X1,compose(compose(a,b),codomain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_904,hypothesis,
( domain(a) != domain(X1)
| compose(compose(h,domain(X1)),domain(X1)) = compose(h,domain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_905,hypothesis,
( domain(a) != domain(X1)
| compose(compose(g,domain(X1)),domain(X1)) = compose(g,domain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_906,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),b) != compose(h,compose(a,b))
| compose(h,a) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_170,c_0_41]),
[final] ).
cnf(c_0_907,hypothesis,
( codomain(b) != domain(a)
| domain(compose(compose(a,b),compose(a,b))) = domain(a) ),
inference(spm,[status(thm)],[c_0_297,c_0_27]),
[final] ).
cnf(c_0_908,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != codomain(X2)
| compose(compose(X1,compose(h,compose(a,b))),codomain(X2)) = compose(X1,compose(compose(h,compose(a,b)),codomain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_909,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(g,a),compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_910,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,g),X1) = compose(a,compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_18]),
[final] ).
cnf(c_0_911,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(b)
| compose(compose(a,h),X1) = compose(a,compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_18]),
[final] ).
cnf(c_0_912,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),b) != compose(h,compose(a,b))
| compose(g,a) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_273,c_0_41]),
[final] ).
cnf(c_0_913,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,a),a) != compose(compose(a,b),a)
| compose(h,a) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_160,c_0_41]),
[final] ).
cnf(c_0_914,hypothesis,
( codomain(b) != domain(a)
| compose(compose(g,a),a) != compose(compose(a,b),a)
| compose(g,a) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_161,c_0_41]),
[final] ).
cnf(c_0_915,hypothesis,
( codomain(X1) != domain(h)
| codomain(X2) != domain(b)
| compose(compose(X1,compose(h,a)),codomain(X2)) = compose(X1,compose(compose(h,a),codomain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_916,hypothesis,
( domain(X1) != domain(h)
| compose(compose(domain(X1),h),domain(a)) = compose(domain(X1),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_30]),
[final] ).
cnf(c_0_917,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),domain(b)) = compose(codomain(X1),a) ),
inference(spm,[status(thm)],[c_0_257,c_0_43]),
[final] ).
cnf(c_0_918,hypothesis,
( codomain(X1) != domain(h)
| codomain(X2) != domain(b)
| compose(compose(X1,compose(g,a)),codomain(X2)) = compose(X1,compose(compose(g,a),codomain(X2))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_919,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),h),domain(a)) = compose(compose(h,a),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_58]),
[final] ).
cnf(c_0_920,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),h),domain(a)) = compose(compose(g,a),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_59]),
[final] ).
cnf(c_0_921,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),h),domain(a)) = compose(codomain(X1),h) ),
inference(spm,[status(thm)],[c_0_276,c_0_43]),
[final] ).
cnf(c_0_922,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,h),domain(a)) = compose(a,h) ),
inference(spm,[status(thm)],[c_0_276,c_0_18]),
[final] ).
cnf(c_0_923,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,h),domain(a)) = compose(h,h) ),
inference(spm,[status(thm)],[c_0_276,c_0_23]),
[final] ).
cnf(c_0_924,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,h),domain(a)) = compose(g,h) ),
inference(spm,[status(thm)],[c_0_276,c_0_47]),
[final] ).
cnf(c_0_925,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(h,a),g),domain(a)) = compose(compose(h,a),g) ),
inference(spm,[status(thm)],[c_0_277,c_0_58]),
[final] ).
cnf(c_0_926,hypothesis,
( domain(h) != domain(b)
| compose(compose(compose(g,a),g),domain(a)) = compose(compose(g,a),g) ),
inference(spm,[status(thm)],[c_0_277,c_0_59]),
[final] ).
cnf(c_0_927,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),b) != compose(domain(a),b)
| codomain(X1) = domain(a) ),
inference(spm,[status(thm)],[c_0_304,c_0_29]),
[final] ).
cnf(c_0_928,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),a) != compose(domain(b),a)
| domain(X1) = domain(b) ),
inference(spm,[status(thm)],[c_0_283,c_0_30]),
[final] ).
cnf(c_0_929,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(h,a),codomain(X1)) = compose(h,compose(a,codomain(X1))) ),
inference(spm,[status(thm)],[c_0_66,c_0_29]),
[final] ).
cnf(c_0_930,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(g,a),codomain(X1)) = compose(g,compose(a,codomain(X1))) ),
inference(spm,[status(thm)],[c_0_83,c_0_29]),
[final] ).
cnf(c_0_931,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(h,compose(a,b)),compose(g,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_932,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(h,compose(a,b)),compose(h,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_933,hypothesis,
( domain(X1) != domain(b)
| codomain(b) != domain(a)
| compose(domain(X1),b) != compose(compose(a,b),b)
| domain(X1) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_90,c_0_41]),
[final] ).
cnf(c_0_934,hypothesis,
( domain(X1) != domain(b)
| codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),b) != compose(domain(X1),b)
| compose(h,compose(a,b)) = domain(X1) ),
inference(spm,[status(thm)],[c_0_90,c_0_52]),
[final] ).
cnf(c_0_935,hypothesis,
( codomain(X1) != domain(h)
| compose(compose(codomain(X1),g),domain(a)) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_307,c_0_29]),
[final] ).
cnf(c_0_936,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),codomain(X1)) = compose(a,codomain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_937,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(h,codomain(X1)),codomain(X1)) = compose(h,codomain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_938,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(g,codomain(X1)),codomain(X1)) = compose(g,codomain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_939,hypothesis,
( domain(h) != domain(b)
| compose(compose(a,g),domain(a)) = compose(a,g) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_940,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),b) != b
| compose(h,compose(a,b)) = domain(b) ),
inference(spm,[status(thm)],[c_0_308,c_0_52]),
[final] ).
cnf(c_0_941,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(h,a),compose(h,compose(a,b)))) = domain(h) ),
inference(spm,[status(thm)],[c_0_158,c_0_53]),
[final] ).
cnf(c_0_942,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(g,a),compose(h,compose(a,b)))) = domain(h) ),
inference(spm,[status(thm)],[c_0_162,c_0_53]),
[final] ).
cnf(c_0_943,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(h,a)) = compose(h,compose(a,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_66,c_0_57]),
[final] ).
cnf(c_0_944,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),compose(g,a)) = compose(h,compose(a,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_66,c_0_56]),
[final] ).
cnf(c_0_945,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(h,a)) = compose(g,compose(a,compose(h,a))) ),
inference(spm,[status(thm)],[c_0_83,c_0_57]),
[final] ).
cnf(c_0_946,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),compose(g,a)) = compose(g,compose(a,compose(g,a))) ),
inference(spm,[status(thm)],[c_0_83,c_0_56]),
[final] ).
cnf(c_0_947,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),a) != a
| codomain(X1) = domain(a) ),
inference(spm,[status(thm)],[c_0_309,c_0_29]),
[final] ).
cnf(c_0_948,hypothesis,
( domain(X1) != domain(b)
| codomain(b) != domain(a)
| compose(domain(X1),a) != compose(compose(a,b),a)
| domain(X1) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_92,c_0_41]),
[final] ).
cnf(c_0_949,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(a,b),compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_950,hypothesis,
( codomain(b) != domain(h)
| codomain(compose(compose(a,b),compose(h,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_301,c_0_41]),
[final] ).
cnf(c_0_951,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),b) != compose(h,compose(a,b))
| domain(X1) = compose(h,a) ),
inference(rw,[status(thm)],[c_0_310,c_0_95]),
[final] ).
cnf(c_0_952,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(a,b),compose(g,a))) = domain(a) ),
inference(spm,[status(thm)],[c_0_297,c_0_56]),
[final] ).
cnf(c_0_953,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),b) != compose(h,compose(a,b))
| codomain(X1) = compose(h,a) ),
inference(rw,[status(thm)],[c_0_157,c_0_95]),
[final] ).
cnf(c_0_954,hypothesis,
( compose(domain(a),b) != compose(h,compose(a,b))
| domain(a) = compose(h,a) ),
inference(rw,[status(thm)],[c_0_311,c_0_95]),
[final] ).
cnf(c_0_955,hypothesis,
( compose(h,compose(a,b)) != compose(h,b)
| compose(h,a) = h ),
inference(rw,[status(thm)],[c_0_312,c_0_95]),
[final] ).
cnf(c_0_956,hypothesis,
( compose(h,compose(a,b)) != compose(g,b)
| compose(h,a) = g ),
inference(rw,[status(thm)],[c_0_313,c_0_95]),
[final] ).
cnf(c_0_957,hypothesis,
( domain(X1) != domain(b)
| codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),a) != compose(domain(X1),a)
| compose(h,compose(a,b)) = domain(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_52]),
[final] ).
cnf(c_0_958,hypothesis,
( domain(h) != domain(b)
| compose(compose(h,a),g) = compose(h,compose(a,g)) ),
inference(spm,[status(thm)],[c_0_66,c_0_42]),
[final] ).
cnf(c_0_959,hypothesis,
( codomain(b) != domain(h)
| domain(compose(compose(a,b),compose(h,a))) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_960,hypothesis,
( domain(h) != domain(b)
| domain(compose(a,compose(compose(h,a),b))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_314]),
[final] ).
cnf(c_0_961,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),b) != compose(h,compose(a,b))
| codomain(X1) = compose(g,a) ),
inference(rw,[status(thm)],[c_0_159,c_0_141]),
[final] ).
cnf(c_0_962,hypothesis,
( compose(domain(a),b) != compose(h,compose(a,b))
| domain(a) = compose(g,a) ),
inference(rw,[status(thm)],[c_0_315,c_0_141]),
[final] ).
cnf(c_0_963,hypothesis,
( compose(h,compose(a,b)) != compose(h,b)
| compose(g,a) = h ),
inference(rw,[status(thm)],[c_0_316,c_0_141]),
[final] ).
cnf(c_0_964,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),b) != compose(h,compose(a,b))
| domain(X1) = compose(g,a) ),
inference(rw,[status(thm)],[c_0_317,c_0_141]),
[final] ).
cnf(c_0_965,hypothesis,
( compose(h,compose(a,b)) != compose(g,b)
| compose(g,a) = g ),
inference(rw,[status(thm)],[c_0_318,c_0_141]),
[final] ).
cnf(c_0_966,hypothesis,
( domain(h) != domain(b)
| compose(compose(g,a),g) = compose(g,compose(a,g)) ),
inference(spm,[status(thm)],[c_0_83,c_0_42]),
[final] ).
cnf(c_0_967,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,compose(h,a)),domain(b)) = compose(h,compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_968,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,compose(g,a)),domain(b)) = compose(h,compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_969,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,compose(h,a)),domain(b)) = compose(g,compose(h,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_970,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,compose(g,a)),domain(b)) = compose(g,compose(g,a)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_971,hypothesis,
( domain(X1) != domain(a)
| codomain(compose(domain(X1),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_972,hypothesis,
( domain(X1) != domain(h)
| codomain(compose(domain(X1),compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_973,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(codomain(X1),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_27]),c_0_41]),
[final] ).
cnf(c_0_974,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(codomain(X1),compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_975,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(a,b),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_320,c_0_41]),
[final] ).
cnf(c_0_976,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),a) != compose(compose(h,a),a)
| domain(X1) = compose(h,a) ),
inference(spm,[status(thm)],[c_0_160,c_0_30]),
[final] ).
cnf(c_0_977,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(h,compose(a,b)),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_320,c_0_52]),
[final] ).
cnf(c_0_978,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(compose(h,a),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_320,c_0_58]),
[final] ).
cnf(c_0_979,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),a) != compose(compose(g,a),a)
| domain(X1) = compose(g,a) ),
inference(spm,[status(thm)],[c_0_161,c_0_30]),
[final] ).
cnf(c_0_980,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(compose(g,a),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_320,c_0_59]),
[final] ).
cnf(c_0_981,hypothesis,
( codomain(b) != domain(a)
| compose(domain(b),a) != compose(compose(a,b),a)
| domain(b) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_283,c_0_41]),
[final] ).
cnf(c_0_982,hypothesis,
( codomain(b) != codomain(X1)
| codomain(compose(compose(a,b),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_41]),
[final] ).
cnf(c_0_983,hypothesis,
( domain(X1) != domain(h)
| codomain(compose(domain(X1),compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_984,hypothesis,
( codomain(b) != codomain(X1)
| codomain(compose(compose(h,compose(a,b)),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_52]),
[final] ).
cnf(c_0_985,hypothesis,
( domain(X1) != domain(a)
| domain(compose(domain(X1),compose(a,b))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_27]),
[final] ).
cnf(c_0_986,hypothesis,
( domain(X1) != domain(h)
| codomain(compose(domain(X1),compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_987,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(compose(h,a),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_58]),
[final] ).
cnf(c_0_988,hypothesis,
( domain(X1) != domain(h)
| domain(compose(domain(X1),compose(h,compose(a,b)))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_53]),
[final] ).
cnf(c_0_989,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(codomain(X1),compose(a,b))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_322,c_0_27]),
[final] ).
cnf(c_0_990,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(codomain(X1),compose(h,compose(a,b)))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_322,c_0_53]),
[final] ).
cnf(c_0_991,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),b) != b
| domain(X1) = domain(b) ),
inference(spm,[status(thm)],[c_0_308,c_0_30]),
[final] ).
cnf(c_0_992,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),b) != b
| domain(b) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_308,c_0_41]),
[final] ).
cnf(c_0_993,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(a,b),domain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_994,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(h,compose(a,b)),domain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_995,hypothesis,
( domain(b) != domain(X1)
| domain(compose(compose(h,a),domain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_996,hypothesis,
( domain(b) != domain(X1)
| domain(compose(compose(g,a),domain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_997,hypothesis,
( domain(X1) != domain(h)
| domain(compose(domain(X1),compose(h,a))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_57]),
[final] ).
cnf(c_0_998,hypothesis,
( domain(X1) != domain(h)
| domain(compose(domain(X1),compose(g,a))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_56]),
[final] ).
cnf(c_0_999,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(compose(g,a),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_59]),
[final] ).
cnf(c_0_1000,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(b)
| compose(X1,b) != compose(compose(h,compose(a,b)),b)
| X1 = compose(h,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_64,c_0_52]),
[final] ).
cnf(c_0_1001,hypothesis,
( domain(h) != domain(a)
| compose(compose(h,g),domain(a)) = compose(h,g) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1002,hypothesis,
( domain(h) != domain(a)
| compose(compose(g,g),domain(a)) = compose(g,g) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1003,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(b)
| compose(X1,a) != compose(compose(h,compose(a,b)),a)
| X1 = compose(h,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_65,c_0_52]),
[final] ).
cnf(c_0_1004,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,g),X1) = compose(h,compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_23]),
[final] ).
cnf(c_0_1005,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,g),X1) = compose(g,compose(g,X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_47]),
[final] ).
cnf(c_0_1006,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(h,h),X1) = compose(h,compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_23]),
[final] ).
cnf(c_0_1007,hypothesis,
( domain(a) != domain(X1)
| domain(h) != domain(a)
| compose(compose(g,h),X1) = compose(g,compose(h,X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_47]),
[final] ).
cnf(c_0_1008,hypothesis,
( codomain(X1) != domain(h)
| codomain(b) != domain(X2)
| compose(compose(X1,compose(h,compose(a,b))),X2) = compose(X1,compose(compose(h,compose(a,b)),X2)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_1009,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),b) != compose(a,b)
| compose(h,compose(a,b)) = a ),
inference(spm,[status(thm)],[c_0_168,c_0_52]),
[final] ).
cnf(c_0_1010,hypothesis,
( codomain(b) != domain(a)
| compose(compose(h,compose(a,b)),a) != compose(a,a)
| compose(h,compose(a,b)) = a ),
inference(spm,[status(thm)],[c_0_169,c_0_52]),
[final] ).
cnf(c_0_1011,hypothesis,
( codomain(b) != codomain(X1)
| domain(compose(compose(h,compose(a,b)),codomain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_1012,plain,
( domain(X1) != domain(X2)
| codomain(compose(domain(X1),domain(X2))) = domain(X2) ),
inference(spm,[status(thm)],[c_0_320,c_0_30]),
[final] ).
cnf(c_0_1013,plain,
( codomain(X1) != domain(X2)
| codomain(compose(codomain(X1),domain(X2))) = domain(X2) ),
inference(spm,[status(thm)],[c_0_320,c_0_43]),
[final] ).
cnf(c_0_1014,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(h,compose(a,b)),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_52]),
[final] ).
cnf(c_0_1015,plain,
( domain(X1) != codomain(X2)
| codomain(compose(domain(X1),codomain(X2))) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_30]),
[final] ).
cnf(c_0_1016,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(h,compose(a,b)),X1)) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_52]),c_0_35]),c_0_42]),
[final] ).
cnf(c_0_1017,plain,
( codomain(X1) != codomain(X2)
| codomain(compose(codomain(X1),codomain(X2))) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_321,c_0_43]),
[final] ).
cnf(c_0_1018,hypothesis,
( codomain(b) != codomain(X1)
| domain(compose(compose(a,b),codomain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_41]),c_0_16]),c_0_23]),
[final] ).
cnf(c_0_1019,plain,
( domain(X1) != domain(X2)
| domain(compose(domain(X1),domain(X2))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_1020,plain,
( codomain(X1) != domain(X2)
| domain(compose(codomain(X1),domain(X2))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_1021,plain,
( domain(X1) != codomain(X2)
| domain(compose(domain(X1),codomain(X2))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_30]),c_0_36]),
[final] ).
cnf(c_0_1022,hypothesis,
( domain(h) != domain(a)
| codomain(compose(h,compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_1023,plain,
( codomain(X1) != codomain(X2)
| domain(compose(codomain(X1),codomain(X2))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_43]),c_0_29]),
[final] ).
cnf(c_0_1024,hypothesis,
( domain(h) != domain(a)
| codomain(compose(g,compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_1025,hypothesis,
( domain(h) != domain(b)
| codomain(compose(a,compose(h,compose(a,b)))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_53]),c_0_52]),
[final] ).
cnf(c_0_1026,hypothesis,
( compose(compose(h,a),a) != a
| domain(a) = compose(h,a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_47]),c_0_54]),
[final] ).
cnf(c_0_1027,hypothesis,
( domain(h) != domain(b)
| domain(compose(a,compose(h,compose(a,b)))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_53]),
[final] ).
cnf(c_0_1028,hypothesis,
( compose(compose(g,a),a) != a
| domain(a) = compose(g,a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_47]),c_0_54]),
[final] ).
cnf(c_0_1029,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(compose(h,a),codomain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_1030,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,compose(compose(h,a),b))) = domain(h) ),
inference(spm,[status(thm)],[c_0_327,c_0_314]),
[final] ).
cnf(c_0_1031,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,compose(compose(h,a),b))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_314]),
[final] ).
cnf(c_0_1032,hypothesis,
( compose(compose(h,a),a) != compose(h,a)
| compose(h,a) = h ),
inference(spm,[status(thm)],[c_0_160,c_0_23]),
[final] ).
cnf(c_0_1033,hypothesis,
( compose(compose(h,a),a) != compose(g,a)
| compose(h,a) = g ),
inference(spm,[status(thm)],[c_0_160,c_0_47]),
[final] ).
cnf(c_0_1034,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(h,a),g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1035,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(h,a),g)) = domain(h) ),
inference(spm,[status(thm)],[c_0_158,c_0_42]),
[final] ).
cnf(c_0_1036,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(codomain(X1),compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_1037,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(codomain(X1),compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_1038,hypothesis,
( compose(compose(g,a),a) != compose(h,a)
| compose(g,a) = h ),
inference(spm,[status(thm)],[c_0_161,c_0_23]),
[final] ).
cnf(c_0_1039,hypothesis,
( compose(compose(g,a),a) != compose(g,a)
| compose(g,a) = g ),
inference(spm,[status(thm)],[c_0_161,c_0_47]),
[final] ).
cnf(c_0_1040,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(compose(g,a),codomain(X1))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_1041,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(h,a),compose(g,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_300,c_0_58]),
[final] ).
cnf(c_0_1042,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(g,a),compose(g,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_300,c_0_59]),
[final] ).
cnf(c_0_1043,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(h,a),compose(h,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_301,c_0_58]),
[final] ).
cnf(c_0_1044,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(g,a),compose(h,a))) = domain(b) ),
inference(spm,[status(thm)],[c_0_301,c_0_59]),
[final] ).
cnf(c_0_1045,hypothesis,
( domain(h) != domain(b)
| codomain(compose(compose(g,a),g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1046,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(codomain(X1),compose(h,a))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_322,c_0_57]),
[final] ).
cnf(c_0_1047,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),a) != compose(domain(b),a)
| codomain(X1) = domain(b) ),
inference(spm,[status(thm)],[c_0_283,c_0_43]),
[final] ).
cnf(c_0_1048,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(codomain(X1),compose(g,a))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_322,c_0_56]),
[final] ).
cnf(c_0_1049,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,compose(compose(g,a),b))) = domain(h) ),
inference(spm,[status(thm)],[c_0_327,c_0_328]),
[final] ).
cnf(c_0_1050,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,compose(compose(g,a),b))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_328]),
[final] ).
cnf(c_0_1051,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(g,a),g)) = domain(h) ),
inference(spm,[status(thm)],[c_0_162,c_0_42]),
[final] ).
cnf(c_0_1052,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(h,a),compose(g,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_1053,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(g,a),compose(g,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_1054,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(h,a),compose(h,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_58]),c_0_57]),
[final] ).
cnf(c_0_1055,hypothesis,
( domain(h) != domain(b)
| domain(compose(compose(g,a),compose(h,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_59]),c_0_44]),c_0_42]),
[final] ).
cnf(c_0_1056,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,compose(h,compose(a,b)))) = domain(h) ),
inference(spm,[status(thm)],[c_0_327,c_0_53]),
[final] ).
cnf(c_0_1057,hypothesis,
( domain(a) != domain(X1)
| codomain(compose(h,domain(X1))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_1058,hypothesis,
( domain(X1) != domain(a)
| codomain(compose(g,domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_329,c_0_30]),
[final] ).
cnf(c_0_1059,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,compose(h,compose(a,b)))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_53]),
[final] ).
cnf(c_0_1060,hypothesis,
( domain(b) != domain(X1)
| domain(compose(a,domain(X1))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_36]),
[final] ).
cnf(c_0_1061,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(b)
| compose(X1,b) != compose(compose(a,b),b)
| X1 = compose(a,b) ),
inference(spm,[status(thm)],[c_0_64,c_0_41]),
[final] ).
cnf(c_0_1062,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(b)
| compose(X1,a) != compose(compose(a,b),a)
| X1 = compose(a,b) ),
inference(spm,[status(thm)],[c_0_65,c_0_41]),
[final] ).
cnf(c_0_1063,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),b) != compose(h,b)
| codomain(X1) = h ),
inference(spm,[status(thm)],[c_0_330,c_0_29]),
[final] ).
cnf(c_0_1064,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),b) != compose(g,b)
| codomain(X1) = g ),
inference(spm,[status(thm)],[c_0_331,c_0_29]),
[final] ).
cnf(c_0_1065,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),b) != compose(a,b)
| compose(a,b) = a ),
inference(spm,[status(thm)],[c_0_168,c_0_41]),
[final] ).
cnf(c_0_1066,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),a) != compose(h,a)
| codomain(X1) = h ),
inference(spm,[status(thm)],[c_0_332,c_0_29]),
[final] ).
cnf(c_0_1067,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),a) != compose(a,a)
| compose(a,b) = a ),
inference(spm,[status(thm)],[c_0_169,c_0_41]),
[final] ).
cnf(c_0_1068,hypothesis,
( compose(domain(b),a) != compose(h,a)
| domain(b) = h ),
inference(er,[status(thm)],[c_0_332]),
[final] ).
cnf(c_0_1069,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),a) != compose(g,a)
| codomain(X1) = g ),
inference(spm,[status(thm)],[c_0_333,c_0_29]),
[final] ).
cnf(c_0_1070,hypothesis,
( compose(domain(b),a) != compose(g,a)
| domain(b) = g ),
inference(er,[status(thm)],[c_0_333]),
[final] ).
cnf(c_0_1071,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(a,domain(X1))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_36]),c_0_30]),
[final] ).
cnf(c_0_1072,hypothesis,
( domain(h) != domain(b)
| codomain(compose(a,compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_1073,hypothesis,
( domain(h) != domain(b)
| domain(compose(a,compose(g,a))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_56]),
[final] ).
cnf(c_0_1074,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),b) != compose(a,b)
| domain(X1) = a ),
inference(spm,[status(thm)],[c_0_168,c_0_30]),
[final] ).
cnf(c_0_1075,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),a) != compose(a,a)
| domain(X1) = a ),
inference(spm,[status(thm)],[c_0_169,c_0_30]),
[final] ).
cnf(c_0_1076,hypothesis,
( domain(a) != domain(X1)
| domain(compose(h,domain(X1))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]),
[final] ).
cnf(c_0_1077,hypothesis,
( domain(h) != domain(b)
| codomain(compose(a,compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_1078,hypothesis,
( domain(h) != domain(b)
| domain(compose(a,compose(h,a))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_57]),
[final] ).
cnf(c_0_1079,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),b) != b
| codomain(X1) = domain(b) ),
inference(spm,[status(thm)],[c_0_308,c_0_43]),
[final] ).
cnf(c_0_1080,hypothesis,
( codomain(X1) != domain(h)
| codomain(compose(codomain(X1),g)) = domain(a) ),
inference(spm,[status(thm)],[c_0_334,c_0_29]),
[final] ).
cnf(c_0_1081,hypothesis,
( compose(h,b) != b
| domain(b) = h ),
inference(spm,[status(thm)],[c_0_308,c_0_23]),
[final] ).
cnf(c_0_1082,hypothesis,
( compose(g,b) != b
| domain(b) = g ),
inference(spm,[status(thm)],[c_0_308,c_0_47]),
[final] ).
cnf(c_0_1083,hypothesis,
( codomain(X1) != domain(h)
| domain(compose(codomain(X1),g)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_335,c_0_29]),
[final] ).
cnf(c_0_1084,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(a,codomain(X1))) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_29]),
[final] ).
cnf(c_0_1085,hypothesis,
( domain(a) != domain(X1)
| domain(compose(g,domain(X1))) = domain(h) ),
inference(rw,[status(thm)],[c_0_336,c_0_42]),
[final] ).
cnf(c_0_1086,hypothesis,
( domain(h) != domain(a)
| codomain(compose(h,compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_1087,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(g,codomain(X1))) = domain(h) ),
inference(rw,[status(thm)],[c_0_337,c_0_42]),
[final] ).
cnf(c_0_1088,hypothesis,
( domain(h) != domain(a)
| codomain(compose(g,compose(g,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_56]),c_0_59]),
[final] ).
cnf(c_0_1089,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,g)) = domain(h) ),
inference(spm,[status(thm)],[c_0_327,c_0_42]),
[final] ).
cnf(c_0_1090,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,compose(g,a))) = domain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_42]),c_0_42]),
[final] ).
cnf(c_0_1091,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,compose(g,a))) = domain(h) ),
inference(rw,[status(thm)],[c_0_339,c_0_42]),
[final] ).
cnf(c_0_1092,hypothesis,
( domain(h) != domain(a)
| domain(compose(g,compose(h,a))) = domain(h) ),
inference(rw,[status(thm)],[c_0_340,c_0_42]),
[final] ).
cnf(c_0_1093,hypothesis,
( domain(h) != domain(a)
| codomain(compose(h,g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1094,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,g)) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_42]),
[final] ).
cnf(c_0_1095,hypothesis,
( domain(h) != domain(a)
| codomain(compose(g,g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1096,hypothesis,
( domain(h) != domain(b)
| codomain(compose(a,g)) = domain(a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_42]),c_0_19]),c_0_23]),
[final] ).
cnf(c_0_1097,hypothesis,
( domain(h) != domain(b)
| domain(compose(a,g)) = domain(a) ),
inference(spm,[status(thm)],[c_0_20,c_0_42]),
[final] ).
cnf(c_0_1098,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(h,codomain(X1))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_29]),
[final] ).
cnf(c_0_1099,hypothesis,
( domain(h) != domain(a)
| codomain(compose(h,compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_1100,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(h,codomain(X1))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_1101,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(a,codomain(X1))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_29]),c_0_43]),
[final] ).
cnf(c_0_1102,hypothesis,
( domain(h) != domain(a)
| codomain(compose(g,compose(h,a))) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_57]),c_0_58]),
[final] ).
cnf(c_0_1103,hypothesis,
( domain(h) != domain(a)
| domain(compose(h,compose(h,a))) = domain(h) ),
inference(spm,[status(thm)],[c_0_34,c_0_57]),
[final] ).
cnf(c_0_1104,hypothesis,
( compose(domain(a),b) != compose(a,b)
| domain(a) = a ),
inference(spm,[status(thm)],[c_0_341,c_0_23]),
[final] ).
cnf(c_0_1105,hypothesis,
( compose(a,a) != a
| domain(a) = a ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_23]),c_0_54]),
[final] ).
cnf(c_0_1106,hypothesis,
( compose(h,b) != compose(a,b)
| h = a ),
inference(spm,[status(thm)],[c_0_168,c_0_23]),
[final] ).
cnf(c_0_1107,hypothesis,
( compose(h,a) != compose(a,a)
| h = a ),
inference(spm,[status(thm)],[c_0_169,c_0_23]),
[final] ).
cnf(c_0_1108,hypothesis,
( compose(g,a) != compose(a,a)
| g = a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_343,c_0_23])]),
[final] ).
cnf(c_0_1109,hypothesis,
( compose(g,b) != compose(a,b)
| g = a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_23])]),
[final] ).
cnf(c_0_1110,hypothesis,
compose(domain(a),b) != b,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_304]),c_0_54]),c_0_345]),
[final] ).
cnf(c_0_1111,hypothesis,
compose(domain(b),a) != a,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_309]),c_0_345]),
[final] ).
cnf(c_0_1112,hypothesis,
compose(domain(h),g) = g,
inference(spm,[status(thm)],[c_0_54,c_0_42]),
[final] ).
cnf(c_0_1113,plain,
compose(codomain(X1),codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_54,c_0_29]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CAT002-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.48 % Computer : n001.cluster.edu
% 0.18/5.48 % Model : x86_64 x86_64
% 0.18/5.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.48 % Memory : 8046.5625MB
% 0.18/5.48 % OS : Linux 6.8.0-71-generic
% 0.18/5.48 % CPULimit : 300
% 0.18/5.48 % WCLimit : 300
% 0.18/5.48 % DateTime : Mon Sep 21 14:01:06 UTC 2026
% 0.18/5.49 % CPUTime :
% 0.18/5.49 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/5.55 Running first-order theorem proving
% 0.24/5.55 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.70/6.12 % Version: 3.5.1
% 3.70/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.70/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.70/6.12 % Starting new_bool_3 with 300s (1) cores
% 3.70/6.12 % Starting new_bool_1 with 300s (1) cores
% 3.70/6.12 % Starting sh5l with 300s (1) cores
% 3.70/6.12 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3299380 completed with status 1
% 3.70/6.12 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.70/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.70/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.70/6.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.70/6.12 % No SInE strategy applied
% 3.70/6.12 % Search class: FHUPM-FFSS21-SFFFFFNN
% 3.70/6.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.70/6.12 % Starting SubtermCWHack with 136s (1) cores
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 3.70/6.12 % Starting new_bool_3 with 136s (1) cores
% 3.70/6.12 % Starting new_bool_1 with 136s (1) cores
% 3.70/6.12 % new_bool_1 with pid 3299388 completed with status 1
% 3.70/6.12 % Result found by new_bool_1
% 3.70/6.12 % Preprocessing class: FSMSSMSSSSSNFFN.
% 3.70/6.12 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.70/6.12 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.70/6.12 % No SInE strategy applied
% 3.70/6.12 % Search class: FHUPM-FFSS21-SFFFFFNN
% 3.70/6.12 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.70/6.12 % Starting SubtermCWHack with 136s (1) cores
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.70/6.12 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 3.70/6.12 % Starting new_bool_3 with 136s (1) cores
% 3.70/6.12 % Starting new_bool_1 with 136s (1) cores
% 3.70/6.12 % Preprocessing time : 0.002 s
% 3.70/6.12 % Presaturation interreduction done
% 3.70/6.12
% 3.70/6.12 % No proof found!
% 3.70/6.12 % SZS status Satisfiable
% 3.70/6.12 % SZS output start Saturation
% See solution above
% 3.70/6.13 % Parsed axioms : 14
% 3.70/6.13 % Removed by relevancy pruning/SinE : 0
% 3.70/6.13 % Initial clauses : 14
% 3.70/6.13 % Removed in clause preprocessing : 0
% 3.70/6.13 % Initial clauses in saturation : 14
% 3.70/6.13 % Processed clauses : 5449
% 3.70/6.13 % ...of these trivial : 8
% 3.70/6.13 % ...subsumed : 4221
% 3.70/6.13 % ...remaining for further processing : 1220
% 3.70/6.13 % Other redundant clauses eliminated : 2
% 3.70/6.13 % Clauses deleted for lack of memory : 0
% 3.70/6.13 % Backward-subsumed : 107
% 3.70/6.13 % Backward-rewritten : 41
% 3.70/6.13 % Generated clauses : 6228
% 3.70/6.13 % ...of the previous two non-redundant : 5744
% 3.70/6.13 % ...aggressively subsumed : 0
% 3.70/6.13 % Contextual simplify-reflections : 1
% 3.70/6.13 % Paramodulations : 6012
% 3.70/6.13 % Factorizations : 0
% 3.70/6.13 % NegExts : 0
% 3.70/6.13 % Equation resolutions : 216
% 3.70/6.13 % Disequality decompositions : 0
% 3.70/6.13 % Total rewrite steps : 2469
% 3.70/6.13 % ...of those cached : 2399
% 3.70/6.13 % Propositional unsat checks : 0
% 3.70/6.13 % Propositional check models : 0
% 3.70/6.13 % Propositional check unsatisfiable : 0
% 3.70/6.13 % Propositional clauses : 0
% 3.70/6.13 % Propositional clauses after purity: 0
% 3.70/6.13 % Propositional unsat core size : 0
% 3.70/6.13 % Propositional preprocessing time : 0.000
% 3.70/6.13 % Propositional encoding time : 0.000
% 3.70/6.13 % Propositional solver time : 0.000
% 3.70/6.13 % Success case prop preproc time : 0.000
% 3.70/6.13 % Success case prop encoding time : 0.000
% 3.70/6.13 % Success case prop solver time : 0.000
% 3.70/6.13 % Current number of processed clauses : 1056
% 3.70/6.13 % Positive orientable unit clauses : 35
% 3.70/6.13 % Positive unorientable unit clauses: 0
% 3.70/6.13 % Negative unit clauses : 4
% 3.70/6.13 % Non-unit-clauses : 1017
% 3.70/6.13 % Current number of unprocessed clauses: 0
% 3.70/6.13 % ...number of literals in the above : 0
% 3.70/6.13 % Current number of archived formulas : 0
% 3.70/6.13 % Current number of archived clauses : 162
% 3.70/6.13 % Clause-clause subsumption calls (NU) : 86335
% 3.70/6.13 % Rec. Clause-clause subsumption calls : 86162
% 3.70/6.13 % Non-unit clause-clause subsumptions : 3922
% 3.70/6.13 % Unit Clause-clause subsumption calls : 128
% 3.70/6.13 % Rewrite failures with RHS unbound : 0
% 3.70/6.13 % BW rewrite match attempts : 13
% 3.70/6.13 % BW rewrite match successes : 6
% 3.70/6.13 % Condensation attempts : 0
% 3.70/6.13 % Condensation successes : 0
% 3.70/6.13 % Termbank termtop insertions : 112673
% 3.70/6.13 % Search garbage collected termcells : 29
% 3.70/6.13
% 3.70/6.13 % -------------------------------------------------
% 3.70/6.13 % User time : 0.513 s
% 3.70/6.13 % System time : 0.014 s
% 3.70/6.13 % Total time : 0.527 s
% 3.70/6.13 % Maximum resident set size: 3896 pages
% 3.70/6.13
% 3.70/6.13 % -------------------------------------------------
% 3.70/6.13 % User time : 2.416 s
% 3.70/6.13 % System time : 0.055 s
% 3.70/6.13 % Total time : 2.471 s
% 3.70/6.13 % Maximum resident set size: 5120 pages
% 3.70/6.13 % E exiting
%------------------------------------------------------------------------------