%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CAT001-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:07:56 PM UTC 2026
% Result : Satisfiable 0.15s 5.49s
% Output : Saturation 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_21ERROR: Could not build tree for root c_0_174ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_16,hypothesis,
domain(h) = domain(b),
inference(rw,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_18,plain,
( codomain(X1) != domain(X2)
| codomain(compose(X1,X2)) = codomain(X2) ),
c_0_15,
[final] ).
cnf(c_0_19,hypothesis,
codomain(a) = domain(b),
inference(rw,[status(thm)],[c_0_14,c_0_16]),
[final] ).
cnf(c_0_22,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(a,X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]),
[final] ).
cnf(c_0_23,hypothesis,
domain(g) = domain(b),
inference(rw,[status(thm)],[c_0_20,c_0_16]),
[final] ).
cnf(c_0_24,hypothesis,
compose(a,h) = compose(a,g),
ah_equals_ag,
[final] ).
cnf(c_0_26,axiom,
domain(codomain(X1)) = codomain(X1),
domain_of_codomain_is_codomain,
[final] ).
cnf(c_0_27,axiom,
codomain(domain(X1)) = domain(X1),
codomain_of_domain_is_domain,
[final] ).
cnf(c_0_28,plain,
( codomain(X2) != domain(X3)
| codomain(X1) != domain(X2)
| compose(X1,compose(X2,X3)) = compose(compose(X1,X2),X3) ),
c_0_21,
[final] ).
cnf(c_0_30,plain,
( codomain(X1) != domain(X2)
| domain(compose(X1,X2)) = domain(X1) ),
c_0_25,
[final] ).
cnf(c_0_31,plain,
domain(domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_26,c_0_27]),
[final] ).
cnf(c_0_33,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_28,c_0_26]),
[final] ).
cnf(c_0_34,hypothesis,
codomain(g) = codomain(h),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_16]),c_0_29]),
[final] ).
cnf(c_0_35,hypothesis,
( domain(b) != domain(X1)
| domain(compose(a,X1)) = domain(a) ),
inference(spm,[status(thm)],[c_0_30,c_0_19]),
[final] ).
cnf(c_0_36,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_28,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_38,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_33,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_39,hypothesis,
codomain(compose(a,b)) = codomain(b),
inference(er,[status(thm)],[c_0_22]),
[final] ).
cnf(c_0_40,hypothesis,
codomain(compose(a,h)) = codomain(h),
inference(rw,[status(thm)],[c_0_29,c_0_34]),
[final] ).
cnf(c_0_41,hypothesis,
domain(compose(a,b)) = domain(a),
inference(er,[status(thm)],[c_0_35]),
[final] ).
cnf(c_0_42,plain,
codomain(codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_27,c_0_26]),
[final] ).
cnf(c_0_43,hypothesis,
( domain(X1) != domain(X2)
| codomain(h) != domain(X1)
| compose(compose(g,domain(X1)),X2) = compose(g,compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_34]),
[final] ).
cnf(c_0_44,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_36,c_0_19]),
[final] ).
cnf(c_0_45,hypothesis,
domain(compose(a,h)) = domain(a),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_23]),c_0_24]),
[final] ).
cnf(c_0_47,axiom,
compose(X1,codomain(X1)) = X1,
codomain_composition,
[final] ).
cnf(c_0_48,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_28,c_0_31]),
[final] ).
cnf(c_0_49,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_38,c_0_39]),
[final] ).
cnf(c_0_50,hypothesis,
( domain(X1) != codomain(X2)
| codomain(h) != domain(X1)
| compose(compose(compose(a,h),domain(X1)),codomain(X2)) = compose(compose(a,h),compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_38,c_0_40]),
[final] ).
cnf(c_0_51,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_36,c_0_27]),
[final] ).
cnf(c_0_52,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_36,c_0_39]),
[final] ).
cnf(c_0_53,hypothesis,
( domain(X1) != domain(X2)
| codomain(h) != domain(X1)
| compose(compose(compose(a,h),domain(X1)),X2) = compose(compose(a,h),compose(domain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_36,c_0_40]),
[final] ).
cnf(c_0_54,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_28,c_0_41]),
[final] ).
cnf(c_0_55,axiom,
compose(domain(X1),X1) = X1,
domain_composition,
[final] ).
cnf(c_0_56,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_28,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_57,hypothesis,
( codomain(X1) != domain(X2)
| codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),X2) = compose(g,compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_26]),
[final] ).
cnf(c_0_58,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_44,c_0_26]),
[final] ).
cnf(c_0_59,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(X1,X2),compose(a,h)) = compose(X1,compose(X2,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_28,c_0_45]),
[final] ).
cnf(c_0_60,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_28,c_0_19]),
[final] ).
cnf(c_0_61,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(a)
| compose(X1,compose(a,b)) != compose(X2,compose(a,b))
| X1 = X2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_41]),c_0_41]),
[final] ).
cnf(c_0_62,plain,
( codomain(X1) != domain(X2)
| compose(compose(X1,X2),codomain(X2)) = compose(X1,X2) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_33]),c_0_47]),
[final] ).
cnf(c_0_63,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_48,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_64,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_49,c_0_26]),
[final] ).
cnf(c_0_65,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(h) != codomain(X1)
| compose(compose(compose(a,h),codomain(X1)),codomain(X2)) = compose(compose(a,h),compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_50,c_0_26]),
[final] ).
cnf(c_0_66,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_51,c_0_41]),
[final] ).
cnf(c_0_67,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(domain(X1),domain(X2)),compose(a,h)) = compose(domain(X1),compose(domain(X2),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_51,c_0_45]),
[final] ).
cnf(c_0_68,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_52,c_0_26]),
[final] ).
cnf(c_0_69,hypothesis,
compose(compose(a,b),codomain(b)) = compose(a,b),
inference(spm,[status(thm)],[c_0_47,c_0_39]),
[final] ).
cnf(c_0_70,hypothesis,
( codomain(X1) != domain(X2)
| codomain(h) != codomain(X1)
| compose(compose(compose(a,h),codomain(X1)),X2) = compose(compose(a,h),compose(codomain(X1),X2)) ),
inference(spm,[status(thm)],[c_0_53,c_0_26]),
[final] ).
cnf(c_0_71,hypothesis,
compose(compose(a,h),codomain(h)) = compose(a,h),
inference(spm,[status(thm)],[c_0_47,c_0_40]),
[final] ).
cnf(c_0_72,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_36,c_0_42]),
[final] ).
cnf(c_0_73,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(b)
| compose(compose(domain(X1),domain(X2)),h) = compose(domain(X1),compose(domain(X2),h)) ),
inference(spm,[status(thm)],[c_0_51,c_0_16]),
[final] ).
cnf(c_0_74,hypothesis,
( domain(X1) != domain(X2)
| domain(X2) != domain(b)
| compose(compose(domain(X1),domain(X2)),g) = compose(domain(X1),compose(domain(X2),g)) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]),
[final] ).
cnf(c_0_75,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_54,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_76,hypothesis,
compose(domain(a),compose(a,b)) = compose(a,b),
inference(spm,[status(thm)],[c_0_55,c_0_41]),
[final] ).
cnf(c_0_77,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_56,c_0_41]),
[final] ).
cnf(c_0_78,plain,
compose(domain(X1),domain(X1)) = domain(X1),
inference(spm,[status(thm)],[c_0_47,c_0_27]),
[final] ).
cnf(c_0_79,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),codomain(X2)) = compose(g,compose(codomain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_57,c_0_26]),
[final] ).
cnf(c_0_80,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_58,c_0_26]),
[final] ).
cnf(c_0_81,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(X1,domain(X2)),compose(a,h)) = compose(X1,compose(domain(X2),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_82,hypothesis,
compose(domain(a),compose(a,h)) = compose(a,h),
inference(spm,[status(thm)],[c_0_55,c_0_45]),
[final] ).
cnf(c_0_83,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(X1,codomain(X2)),compose(a,h)) = compose(X1,compose(codomain(X2),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_56,c_0_45]),
[final] ).
cnf(c_0_84,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_51]),c_0_55]),
[final] ).
cnf(c_0_85,hypothesis,
compose(a,domain(b)) = a,
inference(spm,[status(thm)],[c_0_47,c_0_19]),
[final] ).
cnf(c_0_86,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_60,c_0_27]),
[final] ).
cnf(c_0_87,hypothesis,
compose(g,codomain(h)) = g,
inference(spm,[status(thm)],[c_0_47,c_0_34]),
[final] ).
cnf(c_0_88,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_33,c_0_19]),
[final] ).
cnf(c_0_89,hypothesis,
( codomain(X1) != domain(b)
| codomain(h) != codomain(X2)
| compose(compose(X1,g),codomain(X2)) = compose(X1,compose(g,codomain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_90,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(a)
| compose(X1,compose(a,b)) != compose(a,compose(a,b))
| X1 = a ),
inference(spm,[status(thm)],[c_0_61,c_0_19]),
[final] ).
cnf(c_0_91,plain,
( domain(X1) != domain(X2)
| compose(compose(domain(X1),X2),codomain(X2)) = compose(domain(X1),X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_27]),
[final] ).
cnf(c_0_92,plain,
( domain(X1) != domain(X2)
| domain(compose(domain(X1),X2)) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_93,plain,
( domain(X1) != domain(X2)
| codomain(compose(domain(X1),X2)) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_27]),
[final] ).
cnf(c_0_94,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_54,c_0_27]),
[final] ).
cnf(c_0_95,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_54,c_0_42]),
[final] ).
cnf(c_0_96,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_54,c_0_39]),
[final] ).
cnf(c_0_97,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_63,c_0_39]),
[final] ).
cnf(c_0_98,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_64,c_0_39]),
[final] ).
cnf(c_0_99,hypothesis,
( codomain(h) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,h),X1),compose(a,b)) = compose(compose(a,h),compose(X1,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_54,c_0_40]),
[final] ).
cnf(c_0_100,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_54,c_0_19]),
[final] ).
cnf(c_0_101,hypothesis,
( domain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),X2),compose(a,h)) = compose(domain(X1),compose(X2,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_27]),
[final] ).
cnf(c_0_102,hypothesis,
( domain(X1) != domain(X2)
| codomain(h) != domain(X1)
| compose(compose(compose(a,h),domain(X1)),domain(X2)) = compose(compose(a,h),compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_63,c_0_40]),
[final] ).
cnf(c_0_103,hypothesis,
( codomain(X1) != domain(X2)
| codomain(X2) != domain(a)
| compose(compose(codomain(X1),X2),compose(a,h)) = compose(codomain(X1),compose(X2,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_42]),
[final] ).
cnf(c_0_104,hypothesis,
( codomain(h) != codomain(X1)
| compose(compose(compose(a,h),codomain(X1)),codomain(h)) = compose(compose(a,h),compose(codomain(X1),codomain(h))) ),
inference(spm,[status(thm)],[c_0_65,c_0_34]),
[final] ).
cnf(c_0_105,hypothesis,
( codomain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,b),X1),compose(a,h)) = compose(compose(a,b),compose(X1,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_39]),
[final] ).
cnf(c_0_106,hypothesis,
( codomain(h) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,h),X1),compose(a,h)) = compose(compose(a,h),compose(X1,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_40]),
[final] ).
cnf(c_0_107,hypothesis,
( domain(b) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(a,X1),compose(a,h)) = compose(a,compose(X1,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_19]),
[final] ).
cnf(c_0_108,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_66,c_0_45]),
[final] ).
cnf(c_0_109,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(a),domain(X1)),compose(a,h)) = compose(domain(a),compose(domain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_67,c_0_45]),
[final] ).
cnf(c_0_110,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_68,c_0_39]),c_0_69]),
[final] ).
cnf(c_0_111,hypothesis,
( codomain(h) != 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_54,c_0_34]),
[final] ).
cnf(c_0_112,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(a,h),compose(codomain(h),X1)) = compose(compose(a,h),X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_34]),c_0_71]),
[final] ).
cnf(c_0_113,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_51,c_0_26]),
[final] ).
cnf(c_0_114,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_72,c_0_26]),
[final] ).
cnf(c_0_115,hypothesis,
( codomain(h) != domain(X1)
| codomain(X1) != domain(a)
| compose(compose(g,X1),compose(a,h)) = compose(g,compose(X1,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_59,c_0_34]),
[final] ).
cnf(c_0_116,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(b)
| compose(compose(codomain(X1),domain(X2)),h) = compose(codomain(X1),compose(domain(X2),h)) ),
inference(spm,[status(thm)],[c_0_73,c_0_26]),
[final] ).
cnf(c_0_117,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(b)
| compose(compose(codomain(X1),domain(X2)),g) = compose(codomain(X1),compose(domain(X2),g)) ),
inference(spm,[status(thm)],[c_0_74,c_0_26]),
[final] ).
cnf(c_0_118,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_48,c_0_19]),
[final] ).
cnf(c_0_119,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_45]),c_0_76]),
[final] ).
cnf(c_0_120,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_77]),c_0_47]),
[final] ).
cnf(c_0_121,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(b),domain(X1)),h) = compose(domain(b),compose(domain(X1),h)) ),
inference(spm,[status(thm)],[c_0_73,c_0_23]),
[final] ).
cnf(c_0_122,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),compose(domain(X1),h)) = compose(domain(X1),h) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_73]),c_0_78]),
[final] ).
cnf(c_0_123,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_62,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_124,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(b),domain(X1)),g) = compose(domain(b),compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_74,c_0_23]),
[final] ).
cnf(c_0_125,hypothesis,
( domain(X1) != domain(b)
| compose(domain(X1),compose(domain(X1),g)) = compose(domain(X1),g) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_78]),
[final] ).
cnf(c_0_126,hypothesis,
( codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),codomain(h)) = compose(g,compose(codomain(X1),codomain(h))) ),
inference(spm,[status(thm)],[c_0_79,c_0_34]),
[final] ).
cnf(c_0_127,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_80,c_0_19]),
[final] ).
cnf(c_0_128,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_62,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_129,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_62,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_130,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,domain(a)),compose(a,h)) = compose(X1,compose(a,h)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_45]),c_0_82]),
[final] ).
cnf(c_0_131,hypothesis,
( codomain(X1) != domain(a)
| compose(X1,compose(codomain(X1),compose(a,h))) = compose(X1,compose(a,h)) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_83]),c_0_47]),
[final] ).
cnf(c_0_132,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(compose(a,h),X1),codomain(X1)) = compose(compose(a,h),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_40]),
[final] ).
cnf(c_0_133,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,compose(a,h)),codomain(h)) = compose(X1,compose(a,h)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_134,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),domain(X2)),X2) = compose(codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_26]),
[final] ).
cnf(c_0_135,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),X2),codomain(X2)) = compose(codomain(X1),X2) ),
inference(spm,[status(thm)],[c_0_62,c_0_42]),
[final] ).
cnf(c_0_136,hypothesis,
( codomain(X1) != domain(b)
| codomain(h) != domain(X2)
| compose(compose(X1,g),X2) = compose(X1,compose(g,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_137,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,domain(X1)),X1) = compose(a,X1) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_44]),c_0_55]),
[final] ).
cnf(c_0_138,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(X1),domain(b)),h) = compose(domain(X1),h) ),
inference(spm,[status(thm)],[c_0_84,c_0_16]),
[final] ).
cnf(c_0_139,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(X1),domain(b)),g) = compose(domain(X1),g) ),
inference(spm,[status(thm)],[c_0_84,c_0_23]),
[final] ).
cnf(c_0_140,hypothesis,
( domain(b) != domain(X1)
| compose(a,compose(domain(b),X1)) = compose(a,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_85]),
[final] ).
cnf(c_0_141,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,domain(X1)),h) = compose(a,compose(domain(X1),h)) ),
inference(spm,[status(thm)],[c_0_44,c_0_16]),
[final] ).
cnf(c_0_142,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,domain(X1)),g) = compose(a,compose(domain(X1),g)) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]),
[final] ).
cnf(c_0_143,hypothesis,
( codomain(X1) != domain(a)
| domain(X2) != domain(a)
| compose(X1,compose(a,b)) != compose(domain(X2),compose(a,b))
| X1 = domain(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_27]),
[final] ).
cnf(c_0_144,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),h) = compose(domain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_86,c_0_16]),
[final] ).
cnf(c_0_145,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),b) = compose(domain(X1),compose(a,b)) ),
inference(er,[status(thm)],[c_0_86]),
[final] ).
cnf(c_0_146,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),g) = compose(domain(X1),compose(a,h)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_23]),c_0_24]),
[final] ).
cnf(c_0_147,hypothesis,
( codomain(h) != domain(X1)
| compose(g,compose(codomain(h),X1)) = compose(g,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_34]),c_0_87]),
[final] ).
cnf(c_0_148,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(X1,a),domain(b)) = compose(X1,a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_19]),c_0_85]),
[final] ).
cnf(c_0_149,hypothesis,
( domain(b) != domain(X1)
| compose(compose(a,X1),codomain(X1)) = compose(a,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_19]),
[final] ).
cnf(c_0_150,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(X1,g),codomain(h)) = compose(X1,g) ),
inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_89]),c_0_87]),
[final] ).
cnf(c_0_151,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(g,X1),codomain(X1)) = compose(g,X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_34]),
[final] ).
cnf(c_0_152,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(X1,compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_153,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(X1,compose(a,b))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_41]),
[final] ).
cnf(c_0_154,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(X1,compose(a,h))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_45]),
[final] ).
cnf(c_0_155,hypothesis,
( codomain(X1) != domain(a)
| domain(b) != domain(a)
| compose(codomain(X1),compose(a,b)) != compose(a,compose(a,b))
| codomain(X1) = a ),
inference(spm,[status(thm)],[c_0_90,c_0_42]),
[final] ).
cnf(c_0_156,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(X1),h),codomain(h)) = compose(domain(X1),h) ),
inference(spm,[status(thm)],[c_0_91,c_0_16]),
[final] ).
cnf(c_0_157,hypothesis,
( domain(X1) != domain(b)
| compose(compose(domain(X1),g),codomain(h)) = compose(domain(X1),g) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_23]),c_0_34]),
[final] ).
cnf(c_0_158,plain,
( codomain(X1) != domain(X2)
| codomain(compose(X1,domain(X2))) = domain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_159,plain,
( codomain(X1) != codomain(X2)
| codomain(compose(X1,codomain(X2))) = codomain(X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_160,plain,
( codomain(X1) != domain(X2)
| domain(compose(X1,domain(X2))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]),
[final] ).
cnf(c_0_161,plain,
( codomain(X1) != codomain(X2)
| domain(compose(X1,codomain(X2))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]),
[final] ).
cnf(c_0_162,plain,
( codomain(X1) != domain(X2)
| codomain(compose(codomain(X1),X2)) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_42]),
[final] ).
cnf(c_0_163,plain,
( codomain(X1) != domain(X2)
| domain(compose(codomain(X1),X2)) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_164,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(X1,compose(a,h))) = codomain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_165,hypothesis,
( codomain(h) != domain(X1)
| codomain(compose(compose(a,h),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_40]),
[final] ).
cnf(c_0_166,hypothesis,
( codomain(h) != domain(X1)
| domain(compose(compose(a,h),X1)) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_167,hypothesis,
( domain(X1) != domain(b)
| domain(compose(domain(X1),h)) = domain(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_16]),
[final] ).
cnf(c_0_168,hypothesis,
( domain(X1) != domain(b)
| domain(compose(domain(X1),g)) = domain(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_23]),
[final] ).
cnf(c_0_169,hypothesis,
( domain(X1) != domain(b)
| codomain(compose(domain(X1),h)) = codomain(h) ),
inference(spm,[status(thm)],[c_0_93,c_0_16]),
[final] ).
cnf(c_0_170,hypothesis,
( domain(X1) != domain(b)
| codomain(compose(domain(X1),g)) = codomain(h) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_23]),c_0_34]),
[final] ).
cnf(c_0_171,hypothesis,
( codomain(h) != domain(X1)
| codomain(compose(g,X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_34]),
[final] ).
cnf(c_0_172,hypothesis,
( codomain(h) != domain(X1)
| domain(compose(g,X1)) = domain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_174,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(spm,[status(thm)],[c_0_94,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_175,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_95,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_176,hypothesis,
( domain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(domain(X1),compose(a,h)),compose(a,b)) = compose(domain(X1),compose(compose(a,h),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_177,hypothesis,
( codomain(b) != domain(a)
| codomain(h) != domain(a)
| compose(compose(compose(a,b),compose(a,h)),compose(a,b)) = compose(compose(a,b),compose(compose(a,h),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_178,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_97,c_0_26]),
[final] ).
cnf(c_0_179,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_98,c_0_27]),
[final] ).
cnf(c_0_180,hypothesis,
( codomain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(compose(a,h),compose(a,b)),compose(a,b)) = compose(compose(a,h),compose(compose(a,b),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_181,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(codomain(X1),compose(a,h)),compose(a,b)) = compose(codomain(X1),compose(compose(a,h),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_182,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(spm,[status(thm)],[c_0_96,c_0_39]),c_0_41])]),
[final] ).
cnf(c_0_183,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_75,c_0_42]),
[final] ).
cnf(c_0_184,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_75,c_0_39]),
[final] ).
cnf(c_0_185,hypothesis,
( codomain(b) != domain(a)
| domain(b) != domain(a)
| compose(compose(compose(a,b),a),compose(a,b)) = compose(compose(a,b),compose(a,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_96,c_0_19]),
[final] ).
cnf(c_0_186,hypothesis,
( codomain(h) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(compose(a,h),domain(X1)),compose(a,b)) = compose(compose(a,h),compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_40]),
[final] ).
cnf(c_0_187,hypothesis,
( domain(b) != domain(a)
| codomain(b) != domain(a)
| compose(compose(a,compose(a,b)),compose(a,b)) = compose(a,compose(compose(a,b),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_188,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(domain(X1),compose(a,b)),compose(a,h)) = compose(domain(X1),compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_189,hypothesis,
( codomain(X1) != domain(X2)
| codomain(h) != codomain(X1)
| compose(compose(compose(a,h),codomain(X1)),domain(X2)) = compose(compose(a,h),compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_102,c_0_26]),
[final] ).
cnf(c_0_190,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(codomain(X1),compose(a,b)),compose(a,h)) = compose(codomain(X1),compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_191,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(compose(a,h),domain(X1)),codomain(h)) = compose(compose(a,h),compose(domain(X1),codomain(h))) ),
inference(spm,[status(thm)],[c_0_104,c_0_27]),
[final] ).
cnf(c_0_192,hypothesis,
( codomain(b) != domain(a)
| codomain(h) != domain(a)
| compose(compose(compose(a,b),compose(a,h)),compose(a,h)) = compose(compose(a,b),compose(compose(a,h),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_193,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),compose(a,b)),compose(a,h)) = compose(compose(a,b),compose(compose(a,b),compose(a,h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_39]),c_0_41])]),
[final] ).
cnf(c_0_194,hypothesis,
( codomain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(compose(a,h),compose(a,b)),compose(a,h)) = compose(compose(a,h),compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_195,hypothesis,
( codomain(b) != domain(a)
| domain(b) != domain(a)
| compose(compose(compose(a,b),a),compose(a,h)) = compose(compose(a,b),compose(a,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_105,c_0_19]),
[final] ).
cnf(c_0_196,hypothesis,
( domain(b) != domain(a)
| codomain(b) != domain(a)
| compose(compose(a,compose(a,b)),compose(a,h)) = compose(a,compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_197,hypothesis,
( codomain(X1) != domain(X2)
| domain(X2) != domain(a)
| compose(compose(codomain(X1),domain(X2)),compose(a,h)) = compose(codomain(X1),compose(domain(X2),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_81,c_0_42]),
[final] ).
cnf(c_0_198,hypothesis,
( codomain(b) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(compose(a,b),domain(X1)),compose(a,h)) = compose(compose(a,b),compose(domain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_81,c_0_39]),
[final] ).
cnf(c_0_199,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_108,c_0_26]),
[final] ).
cnf(c_0_200,hypothesis,
( codomain(h) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(compose(a,h),domain(X1)),compose(a,h)) = compose(compose(a,h),compose(domain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_81,c_0_40]),
[final] ).
cnf(c_0_201,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(domain(a),codomain(X1)),compose(a,h)) = compose(domain(a),compose(codomain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_109,c_0_26]),
[final] ).
cnf(c_0_202,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_110,c_0_31]),
[final] ).
cnf(c_0_203,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_44,c_0_41]),
[final] ).
cnf(c_0_204,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_110,c_0_26]),
[final] ).
cnf(c_0_205,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_77,c_0_27]),
[final] ).
cnf(c_0_206,hypothesis,
( domain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(domain(X1),compose(a,h)),compose(a,h)) = compose(domain(X1),compose(compose(a,h),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_207,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_77,c_0_42]),
[final] ).
cnf(c_0_208,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_77,c_0_39]),
[final] ).
cnf(c_0_209,hypothesis,
( codomain(h) != codomain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,h),codomain(X1)),compose(a,b)) = compose(compose(a,h),compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_77,c_0_40]),
[final] ).
cnf(c_0_210,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(X1)
| compose(compose(a,domain(X1)),compose(a,h)) = compose(a,compose(domain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]),
[final] ).
cnf(c_0_211,hypothesis,
( codomain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(g,compose(a,b)),compose(a,b)) = compose(g,compose(compose(a,b),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_212,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(codomain(X1),compose(a,h)),compose(a,h)) = compose(codomain(X1),compose(compose(a,h),compose(a,h))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_213,hypothesis,
( codomain(b) != domain(b)
| codomain(h) != domain(a)
| compose(compose(compose(a,b),g),compose(a,b)) = compose(compose(a,b),compose(g,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_214,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(compose(compose(a,h),a),compose(a,b)) = compose(compose(a,h),compose(a,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_99,c_0_19]),
[final] ).
cnf(c_0_215,hypothesis,
( domain(b) != domain(a)
| codomain(h) != domain(a)
| compose(compose(a,compose(a,h)),compose(a,b)) = compose(a,compose(compose(a,h),compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_216,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_77,c_0_19]),
[final] ).
cnf(c_0_217,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(domain(X1),codomain(X2)),compose(a,h)) = compose(domain(X1),compose(codomain(X2),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_83,c_0_27]),
[final] ).
cnf(c_0_218,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(a)
| compose(compose(codomain(X1),codomain(X2)),compose(a,h)) = compose(codomain(X1),compose(codomain(X2),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_83,c_0_42]),
[final] ).
cnf(c_0_219,hypothesis,
( codomain(b) != codomain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,b),codomain(X1)),compose(a,h)) = compose(compose(a,b),compose(codomain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_83,c_0_39]),
[final] ).
cnf(c_0_220,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(a,h),compose(codomain(h),domain(X1))) = compose(compose(a,h),domain(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_31]),
[final] ).
cnf(c_0_221,hypothesis,
( codomain(h) != codomain(X1)
| compose(compose(a,h),compose(codomain(h),codomain(X1))) = compose(compose(a,h),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_26]),
[final] ).
cnf(c_0_222,hypothesis,
( codomain(h) != codomain(X1)
| codomain(X1) != domain(a)
| compose(compose(compose(a,h),codomain(X1)),compose(a,h)) = compose(compose(a,h),compose(codomain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_83,c_0_40]),
[final] ).
cnf(c_0_223,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_113,c_0_31]),
[final] ).
cnf(c_0_224,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_113,c_0_26]),
[final] ).
cnf(c_0_225,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_114,c_0_31]),
[final] ).
cnf(c_0_226,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(a)
| compose(compose(domain(X1),a),compose(a,b)) = compose(domain(X1),compose(a,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_86,c_0_41]),
[final] ).
cnf(c_0_227,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_114,c_0_26]),
[final] ).
cnf(c_0_228,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(a)
| compose(compose(domain(X1),a),compose(a,h)) = compose(domain(X1),compose(a,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_86,c_0_45]),
[final] ).
cnf(c_0_229,hypothesis,
( codomain(h) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(g,domain(X1)),compose(a,b)) = compose(g,compose(domain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_75,c_0_34]),
[final] ).
cnf(c_0_230,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),compose(a,h)),compose(a,b)) = compose(compose(a,h),compose(compose(a,h),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_40]),c_0_45])]),
[final] ).
cnf(c_0_231,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_63,c_0_27]),
[final] ).
cnf(c_0_232,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_63,c_0_42]),
[final] ).
cnf(c_0_233,hypothesis,
( codomain(X1) != domain(b)
| codomain(X1) != domain(a)
| compose(compose(a,codomain(X1)),compose(a,h)) = compose(a,compose(codomain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_83,c_0_19]),
[final] ).
cnf(c_0_234,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),compose(a,b)) = compose(g,compose(codomain(X1),compose(a,b))) ),
inference(spm,[status(thm)],[c_0_57,c_0_41]),
[final] ).
cnf(c_0_235,hypothesis,
( domain(X1) != domain(b)
| codomain(h) != domain(a)
| compose(compose(domain(X1),g),compose(a,b)) = compose(domain(X1),compose(g,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_236,hypothesis,
( codomain(h) != domain(a)
| codomain(b) != domain(a)
| compose(compose(g,compose(a,b)),compose(a,h)) = compose(g,compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_237,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(b)
| compose(compose(codomain(X1),codomain(X2)),h) = compose(codomain(X1),compose(codomain(X2),h)) ),
inference(spm,[status(thm)],[c_0_116,c_0_26]),
[final] ).
cnf(c_0_238,hypothesis,
( codomain(X1) != codomain(X2)
| codomain(X2) != domain(b)
| compose(compose(codomain(X1),codomain(X2)),g) = compose(codomain(X1),compose(codomain(X2),g)) ),
inference(spm,[status(thm)],[c_0_117,c_0_26]),
[final] ).
cnf(c_0_239,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_118,c_0_27]),
[final] ).
cnf(c_0_240,hypothesis,
( codomain(b) != domain(b)
| codomain(h) != domain(a)
| compose(compose(compose(a,b),g),compose(a,h)) = compose(compose(a,b),compose(g,compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_241,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(compose(compose(a,h),a),compose(a,h)) = compose(compose(a,h),compose(a,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_106,c_0_19]),
[final] ).
cnf(c_0_242,hypothesis,
( domain(b) != domain(a)
| codomain(h) != domain(a)
| compose(compose(a,compose(a,h)),compose(a,h)) = compose(a,compose(compose(a,h),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_243,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_118,c_0_39]),
[final] ).
cnf(c_0_244,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),compose(a,h)),compose(a,h)) = compose(compose(a,h),compose(compose(a,h),compose(a,h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_40]),c_0_45])]),
[final] ).
cnf(c_0_245,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_119,c_0_39]),
[final] ).
cnf(c_0_246,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_120,c_0_39]),
[final] ).
cnf(c_0_247,hypothesis,
( domain(b) != domain(X1)
| codomain(h) != domain(a)
| compose(compose(compose(a,h),a),domain(X1)) = compose(compose(a,h),compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_118,c_0_40]),
[final] ).
cnf(c_0_248,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(b)
| compose(compose(domain(X1),codomain(X2)),h) = compose(domain(X1),compose(codomain(X2),h)) ),
inference(spm,[status(thm)],[c_0_73,c_0_26]),
[final] ).
cnf(c_0_249,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_38,c_0_27]),
[final] ).
cnf(c_0_250,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_38,c_0_42]),
[final] ).
cnf(c_0_251,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(domain(b),codomain(X1)),h) = compose(domain(b),compose(codomain(X1),h)) ),
inference(spm,[status(thm)],[c_0_121,c_0_26]),
[final] ).
cnf(c_0_252,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),compose(codomain(X1),h)) = compose(codomain(X1),h) ),
inference(spm,[status(thm)],[c_0_122,c_0_26]),
[final] ).
cnf(c_0_253,hypothesis,
( domain(X1) != codomain(X2)
| codomain(X2) != domain(b)
| compose(compose(domain(X1),codomain(X2)),g) = compose(domain(X1),compose(codomain(X2),g)) ),
inference(spm,[status(thm)],[c_0_74,c_0_26]),
[final] ).
cnf(c_0_254,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_123,c_0_39]),
[final] ).
cnf(c_0_255,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(domain(b),codomain(X1)),g) = compose(domain(b),compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_124,c_0_26]),
[final] ).
cnf(c_0_256,hypothesis,
( codomain(X1) != domain(b)
| compose(codomain(X1),compose(codomain(X1),g)) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_125,c_0_26]),
[final] ).
cnf(c_0_257,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_63,c_0_19]),
[final] ).
cnf(c_0_258,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_38,c_0_19]),
[final] ).
cnf(c_0_259,hypothesis,
( codomain(X1) != domain(X2)
| codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),domain(X2)) = compose(g,compose(codomain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_57,c_0_31]),
[final] ).
cnf(c_0_260,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_84,c_0_41]),
[final] ).
cnf(c_0_261,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_120,c_0_27]),
[final] ).
cnf(c_0_262,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(g,domain(X1)),codomain(h)) = compose(g,compose(domain(X1),codomain(h))) ),
inference(spm,[status(thm)],[c_0_126,c_0_27]),
[final] ).
cnf(c_0_263,hypothesis,
( codomain(h) != domain(X1)
| domain(X1) != domain(a)
| compose(compose(g,domain(X1)),compose(a,h)) = compose(g,compose(domain(X1),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_264,hypothesis,
( codomain(h) != domain(b)
| codomain(h) != domain(a)
| compose(compose(compose(a,h),g),compose(a,b)) = compose(compose(a,h),compose(g,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_265,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_91,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_266,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_58,c_0_31]),
[final] ).
cnf(c_0_267,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_127,c_0_27]),
[final] ).
cnf(c_0_268,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_128,c_0_39]),
[final] ).
cnf(c_0_269,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_129,c_0_39]),
[final] ).
cnf(c_0_270,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_86,c_0_26]),
[final] ).
cnf(c_0_271,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),domain(a)),compose(a,h)) = compose(compose(a,b),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_130,c_0_39]),
[final] ).
cnf(c_0_272,hypothesis,
( domain(X1) != domain(X2)
| codomain(h) != domain(X1)
| compose(compose(g,domain(X1)),domain(X2)) = compose(g,compose(domain(X1),domain(X2))) ),
inference(spm,[status(thm)],[c_0_63,c_0_34]),
[final] ).
cnf(c_0_273,hypothesis,
( codomain(b) != domain(a)
| compose(compose(a,b),compose(codomain(b),compose(a,h))) = compose(compose(a,b),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_131,c_0_39]),
[final] ).
cnf(c_0_274,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_118,c_0_42]),
[final] ).
cnf(c_0_275,hypothesis,
( domain(X1) != codomain(X2)
| codomain(h) != domain(X1)
| compose(compose(g,domain(X1)),codomain(X2)) = compose(g,compose(domain(X1),codomain(X2))) ),
inference(spm,[status(thm)],[c_0_38,c_0_34]),
[final] ).
cnf(c_0_276,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),compose(a,h)) = compose(g,compose(codomain(X1),compose(a,h))) ),
inference(spm,[status(thm)],[c_0_57,c_0_45]),
[final] ).
cnf(c_0_277,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),domain(a)),compose(a,b)) = compose(compose(a,h),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_119,c_0_40]),
[final] ).
cnf(c_0_278,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,a),compose(a,b)) = compose(a,compose(a,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_100,c_0_19]),
[final] ).
cnf(c_0_279,hypothesis,
( codomain(h) != domain(a)
| compose(compose(a,h),compose(a,b)) = compose(a,compose(g,compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_34]),c_0_24]),c_0_23])]),
[final] ).
cnf(c_0_280,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),compose(a,b)),codomain(b)) = compose(compose(a,h),compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_281,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),compose(a,h)),codomain(h)) = compose(compose(a,b),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_133,c_0_39]),
[final] ).
cnf(c_0_282,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(compose(g,a),compose(a,b)) = compose(g,compose(a,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_111,c_0_19]),
[final] ).
cnf(c_0_283,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,compose(a,h)),compose(a,b)) = compose(g,compose(compose(a,h),compose(a,b))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_40]),c_0_45])]),
[final] ).
cnf(c_0_284,hypothesis,
( codomain(h) != domain(b)
| codomain(h) != domain(a)
| compose(compose(g,g),compose(a,b)) = compose(g,compose(g,compose(a,b))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_285,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,domain(a)),compose(a,b)) = compose(g,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_119,c_0_34]),
[final] ).
cnf(c_0_286,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),domain(a)),compose(a,h)) = compose(domain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_84,c_0_45]),
[final] ).
cnf(c_0_287,hypothesis,
( domain(X1) != domain(a)
| compose(domain(X1),compose(domain(X1),compose(a,h))) = compose(domain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_131,c_0_27]),
[final] ).
cnf(c_0_288,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_134,c_0_41]),
[final] ).
cnf(c_0_289,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_290,hypothesis,
( domain(X1) != domain(b)
| codomain(h) != domain(a)
| compose(compose(domain(X1),g),compose(a,h)) = compose(domain(X1),compose(g,compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_291,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_120,c_0_42]),
[final] ).
cnf(c_0_292,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(X1,compose(a,h)),compose(a,b)) = compose(X1,compose(compose(a,h),compose(a,b))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_293,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_135,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_294,hypothesis,
( domain(b) != domain(X1)
| domain(b) != domain(a)
| compose(compose(a,a),domain(X1)) = compose(a,compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_118,c_0_19]),
[final] ).
cnf(c_0_295,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),domain(a)),compose(a,h)) = compose(codomain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_134,c_0_45]),
[final] ).
cnf(c_0_296,hypothesis,
( codomain(X1) != domain(b)
| codomain(h) != domain(a)
| compose(compose(X1,g),compose(a,b)) = compose(X1,compose(g,compose(a,b))) ),
inference(spm,[status(thm)],[c_0_136,c_0_41]),
[final] ).
cnf(c_0_297,hypothesis,
( codomain(h) != domain(a)
| compose(compose(a,h),compose(codomain(h),compose(a,b))) = compose(compose(a,h),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_120,c_0_40]),
[final] ).
cnf(c_0_298,hypothesis,
( codomain(h) != domain(b)
| codomain(h) != domain(a)
| compose(compose(compose(a,h),g),compose(a,h)) = compose(compose(a,h),compose(g,compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_299,hypothesis,
( codomain(b) != domain(a)
| domain(b) != domain(a)
| compose(compose(a,b),compose(a,b)) != compose(a,compose(a,b))
| compose(a,b) = a ),
inference(spm,[status(thm)],[c_0_90,c_0_39]),
[final] ).
cnf(c_0_300,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),domain(a)),compose(a,h)) = compose(compose(a,h),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_130,c_0_40]),
[final] ).
cnf(c_0_301,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,a),compose(a,h)) = compose(a,compose(a,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_107,c_0_19]),
[final] ).
cnf(c_0_302,hypothesis,
( codomain(h) != domain(a)
| compose(compose(a,h),compose(a,h)) = compose(a,compose(g,compose(a,h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_34]),c_0_24]),c_0_23])]),
[final] ).
cnf(c_0_303,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,domain(a)),compose(a,h)) = compose(g,compose(a,h)) ),
inference(spm,[status(thm)],[c_0_130,c_0_34]),
[final] ).
cnf(c_0_304,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,domain(a)),compose(a,b)) = compose(a,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_137,c_0_41]),
[final] ).
cnf(c_0_305,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(codomain(X1),domain(b)),h) = compose(codomain(X1),h) ),
inference(spm,[status(thm)],[c_0_138,c_0_26]),
[final] ).
cnf(c_0_306,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(compose(X1,compose(a,b)),compose(a,h)) = compose(X1,compose(compose(a,b),compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_307,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(codomain(X1),domain(b)),g) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_139,c_0_26]),
[final] ).
cnf(c_0_308,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(compose(X1,compose(a,h)),compose(a,h)) = compose(X1,compose(compose(a,h),compose(a,h))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_309,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,domain(a)),compose(a,h)) = compose(a,compose(a,h)) ),
inference(spm,[status(thm)],[c_0_137,c_0_45]),
[final] ).
cnf(c_0_310,hypothesis,
( domain(b) != domain(X1)
| compose(a,compose(domain(b),domain(X1))) = compose(a,domain(X1)) ),
inference(spm,[status(thm)],[c_0_140,c_0_31]),
[final] ).
cnf(c_0_311,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),h) = compose(a,compose(codomain(X1),h)) ),
inference(spm,[status(thm)],[c_0_141,c_0_26]),
[final] ).
cnf(c_0_312,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(a,codomain(X1)),g) = compose(a,compose(codomain(X1),g)) ),
inference(spm,[status(thm)],[c_0_142,c_0_26]),
[final] ).
cnf(c_0_313,hypothesis,
( codomain(X1) != domain(b)
| compose(a,compose(domain(b),codomain(X1))) = compose(a,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_140,c_0_26]),
[final] ).
cnf(c_0_314,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),compose(a,h)),codomain(h)) = compose(domain(X1),compose(a,h)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_315,hypothesis,
( codomain(X1) != domain(a)
| compose(codomain(X1),compose(codomain(X1),compose(a,h))) = compose(codomain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_131,c_0_42]),
[final] ).
cnf(c_0_316,hypothesis,
( domain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(domain(X1),compose(a,b)) != compose(compose(a,b),compose(a,b))
| domain(X1) = compose(a,b) ),
inference(spm,[status(thm)],[c_0_143,c_0_39]),
[final] ).
cnf(c_0_317,hypothesis,
( domain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(domain(X1),compose(a,b)) != compose(compose(a,h),compose(a,b))
| domain(X1) = compose(a,h) ),
inference(spm,[status(thm)],[c_0_143,c_0_40]),
[final] ).
cnf(c_0_318,hypothesis,
( domain(b) != domain(a)
| compose(a,compose(domain(b),compose(a,b))) = compose(a,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_120,c_0_19]),
[final] ).
cnf(c_0_319,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(compose(a,h),domain(X1)),domain(X1)) = compose(compose(a,h),domain(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_40]),
[final] ).
cnf(c_0_320,hypothesis,
( codomain(h) != codomain(X1)
| compose(compose(compose(a,h),codomain(X1)),codomain(X1)) = compose(compose(a,h),codomain(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_40]),
[final] ).
cnf(c_0_321,hypothesis,
( codomain(h) != domain(a)
| compose(compose(a,h),compose(codomain(h),compose(a,h))) = compose(compose(a,h),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_131,c_0_40]),
[final] ).
cnf(c_0_322,hypothesis,
( domain(b) != domain(a)
| compose(a,compose(domain(b),compose(a,h))) = compose(a,compose(a,h)) ),
inference(spm,[status(thm)],[c_0_131,c_0_19]),
[final] ).
cnf(c_0_323,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),h) = compose(codomain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_144,c_0_26]),
[final] ).
cnf(c_0_324,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),b) = compose(codomain(X1),compose(a,b)) ),
inference(spm,[status(thm)],[c_0_145,c_0_26]),
[final] ).
cnf(c_0_325,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),g) = compose(codomain(X1),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_146,c_0_26]),
[final] ).
cnf(c_0_326,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_60,c_0_42]),
[final] ).
cnf(c_0_327,hypothesis,
( codomain(h) != domain(a)
| compose(g,compose(codomain(h),compose(a,b))) = compose(g,compose(a,b)) ),
inference(spm,[status(thm)],[c_0_147,c_0_41]),
[final] ).
cnf(c_0_328,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_60,c_0_39]),
[final] ).
cnf(c_0_329,hypothesis,
( codomain(h) != domain(X1)
| compose(g,compose(codomain(h),domain(X1))) = compose(g,domain(X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_31]),
[final] ).
cnf(c_0_330,hypothesis,
( codomain(h) != codomain(X1)
| compose(g,compose(codomain(h),codomain(X1))) = compose(g,codomain(X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_26]),
[final] ).
cnf(c_0_331,hypothesis,
( codomain(h) != domain(a)
| compose(g,compose(codomain(h),compose(a,h))) = compose(g,compose(a,h)) ),
inference(spm,[status(thm)],[c_0_147,c_0_45]),
[final] ).
cnf(c_0_332,hypothesis,
( domain(b) != domain(X1)
| codomain(h) != domain(a)
| compose(compose(compose(a,h),a),X1) = compose(compose(a,h),compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_40]),
[final] ).
cnf(c_0_333,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(compose(g,a),compose(a,h)) = compose(g,compose(a,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_115,c_0_19]),
[final] ).
cnf(c_0_334,hypothesis,
( codomain(b) != domain(X1)
| compose(compose(compose(a,b),X1),codomain(X1)) = compose(compose(a,b),X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_39]),
[final] ).
cnf(c_0_335,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,compose(a,h)),compose(a,h)) = compose(g,compose(compose(a,h),compose(a,h))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_40]),c_0_45])]),
[final] ).
cnf(c_0_336,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_48,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_337,hypothesis,
( codomain(h) != domain(b)
| codomain(h) != domain(a)
| compose(compose(g,g),compose(a,h)) = compose(g,compose(g,compose(a,h))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_338,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(spm,[status(thm)],[c_0_48,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_339,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),compose(a,h)),codomain(h)) = compose(codomain(X1),compose(a,h)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_340,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(X2)
| compose(compose(X1,compose(a,h)),domain(X2)) = compose(X1,compose(compose(a,h),domain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_341,hypothesis,
( domain(b) != domain(X1)
| codomain(h) != domain(a)
| compose(compose(g,a),domain(X1)) = compose(g,compose(a,domain(X1))) ),
inference(spm,[status(thm)],[c_0_118,c_0_34]),
[final] ).
cnf(c_0_342,hypothesis,
( codomain(b) != domain(a)
| compose(compose(compose(a,b),a),domain(b)) = compose(compose(a,b),a) ),
inference(spm,[status(thm)],[c_0_148,c_0_39]),
[final] ).
cnf(c_0_343,hypothesis,
( codomain(X1) != domain(b)
| codomain(h) != domain(X2)
| compose(compose(X1,g),domain(X2)) = compose(X1,compose(g,domain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_23]),
[final] ).
cnf(c_0_344,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(compose(a,h),compose(a,b)) != compose(a,compose(a,b))
| compose(a,h) = a ),
inference(spm,[status(thm)],[c_0_90,c_0_40]),
[final] ).
cnf(c_0_345,plain,
( domain(X1) != domain(X2)
| compose(compose(domain(X1),domain(X2)),domain(X2)) = compose(domain(X1),domain(X2)) ),
inference(spm,[status(thm)],[c_0_128,c_0_27]),
[final] ).
cnf(c_0_346,plain,
( codomain(X1) != domain(X2)
| compose(compose(codomain(X1),domain(X2)),domain(X2)) = compose(codomain(X1),domain(X2)) ),
inference(spm,[status(thm)],[c_0_128,c_0_42]),
[final] ).
cnf(c_0_347,plain,
( domain(X1) != codomain(X2)
| compose(compose(domain(X1),codomain(X2)),codomain(X2)) = compose(domain(X1),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_27]),
[final] ).
cnf(c_0_348,plain,
( codomain(X1) != codomain(X2)
| compose(compose(codomain(X1),codomain(X2)),codomain(X2)) = compose(codomain(X1),codomain(X2)) ),
inference(spm,[status(thm)],[c_0_129,c_0_42]),
[final] ).
cnf(c_0_349,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,compose(a,b)),codomain(b)) = compose(a,compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_350,hypothesis,
( domain(b) != domain(X1)
| domain(b) != domain(a)
| compose(compose(a,a),X1) = compose(a,compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_19]),
[final] ).
cnf(c_0_351,hypothesis,
( domain(X1) != domain(a)
| compose(compose(domain(X1),a),domain(b)) = compose(domain(X1),a) ),
inference(spm,[status(thm)],[c_0_148,c_0_27]),
[final] ).
cnf(c_0_352,hypothesis,
( codomain(X1) != domain(b)
| codomain(h) != domain(a)
| compose(compose(X1,g),compose(a,h)) = compose(X1,compose(g,compose(a,h))) ),
inference(spm,[status(thm)],[c_0_136,c_0_45]),
[final] ).
cnf(c_0_353,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),compose(a,h)),codomain(h)) = compose(compose(a,h),compose(a,h)) ),
inference(spm,[status(thm)],[c_0_133,c_0_40]),
[final] ).
cnf(c_0_354,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_33,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_355,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_149,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_356,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(spm,[status(thm)],[c_0_33,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_357,hypothesis,
( domain(X1) != domain(a)
| domain(b) != domain(a)
| compose(domain(X1),compose(a,b)) != compose(a,compose(a,b))
| domain(X1) = a ),
inference(spm,[status(thm)],[c_0_90,c_0_27]),
[final] ).
cnf(c_0_358,hypothesis,
( codomain(X1) != domain(a)
| compose(compose(codomain(X1),a),domain(b)) = compose(codomain(X1),a) ),
inference(spm,[status(thm)],[c_0_148,c_0_42]),
[final] ).
cnf(c_0_359,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != codomain(X2)
| compose(compose(X1,compose(a,h)),codomain(X2)) = compose(X1,compose(compose(a,h),codomain(X2))) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_360,hypothesis,
( domain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(domain(X1),compose(a,b)) != compose(g,compose(a,b))
| domain(X1) = g ),
inference(spm,[status(thm)],[c_0_143,c_0_34]),
[final] ).
cnf(c_0_361,hypothesis,
( codomain(h) != domain(a)
| compose(compose(compose(a,h),a),domain(b)) = compose(compose(a,h),a) ),
inference(spm,[status(thm)],[c_0_148,c_0_40]),
[final] ).
cnf(c_0_362,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,a),domain(b)) = compose(a,a) ),
inference(spm,[status(thm)],[c_0_148,c_0_19]),
[final] ).
cnf(c_0_363,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,a),domain(b)) = compose(g,a) ),
inference(spm,[status(thm)],[c_0_148,c_0_34]),
[final] ).
cnf(c_0_364,hypothesis,
( codomain(b) != domain(b)
| compose(compose(compose(a,b),g),codomain(h)) = compose(compose(a,b),g) ),
inference(spm,[status(thm)],[c_0_150,c_0_39]),
[final] ).
cnf(c_0_365,hypothesis,
( codomain(h) != domain(b)
| compose(compose(compose(a,h),g),codomain(h)) = compose(compose(a,h),g) ),
inference(spm,[status(thm)],[c_0_150,c_0_40]),
[final] ).
cnf(c_0_366,hypothesis,
( codomain(h) != domain(b)
| compose(compose(g,g),codomain(h)) = compose(g,g) ),
inference(spm,[status(thm)],[c_0_150,c_0_34]),
[final] ).
cnf(c_0_367,hypothesis,
( domain(b) != domain(a)
| compose(compose(a,compose(a,h)),codomain(h)) = compose(a,compose(a,h)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_368,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,compose(a,b)),codomain(b)) = compose(g,compose(a,b)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_369,hypothesis,
( domain(b) != domain(X1)
| codomain(h) != domain(a)
| compose(compose(g,a),X1) = compose(g,compose(a,X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_34]),
[final] ).
cnf(c_0_370,hypothesis,
( codomain(b) != domain(a)
| codomain(compose(compose(a,b),compose(a,b))) = codomain(b) ),
inference(spm,[status(thm)],[c_0_152,c_0_39]),
[final] ).
cnf(c_0_371,hypothesis,
( codomain(b) != domain(a)
| domain(compose(compose(a,b),compose(a,b))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_372,hypothesis,
( codomain(b) != domain(a)
| domain(compose(compose(a,b),compose(a,h))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_373,hypothesis,
( domain(b) != domain(a)
| compose(domain(b),compose(a,b)) != compose(a,compose(a,b))
| domain(b) = a ),
inference(spm,[status(thm)],[c_0_155,c_0_19]),
[final] ).
cnf(c_0_374,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(codomain(X1),h),codomain(h)) = compose(codomain(X1),h) ),
inference(spm,[status(thm)],[c_0_156,c_0_26]),
[final] ).
cnf(c_0_375,hypothesis,
( codomain(X1) != domain(b)
| compose(compose(codomain(X1),g),codomain(h)) = compose(codomain(X1),g) ),
inference(spm,[status(thm)],[c_0_157,c_0_26]),
[final] ).
cnf(c_0_376,hypothesis,
( domain(X1) != domain(a)
| codomain(compose(domain(X1),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_377,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_149,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_378,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(a,b),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_39]),
[final] ).
cnf(c_0_379,hypothesis,
( codomain(b) != codomain(X1)
| codomain(compose(compose(a,b),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_39]),
[final] ).
cnf(c_0_380,hypothesis,
( domain(X1) != domain(a)
| domain(compose(domain(X1),compose(a,b))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_41]),
[final] ).
cnf(c_0_381,hypothesis,
( domain(X1) != domain(a)
| domain(compose(domain(X1),compose(a,h))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_45]),
[final] ).
cnf(c_0_382,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(a,b),domain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_383,hypothesis,
( codomain(b) != codomain(X1)
| domain(compose(compose(a,b),codomain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_384,hypothesis,
( codomain(h) != domain(X1)
| compose(compose(g,domain(X1)),domain(X1)) = compose(g,domain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_385,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(codomain(X1),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_386,hypothesis,
( codomain(X1) != domain(a)
| codomain(X2) != domain(a)
| compose(X1,compose(a,b)) != compose(codomain(X2),compose(a,b))
| X1 = codomain(X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_42]),
[final] ).
cnf(c_0_387,hypothesis,
( codomain(h) != codomain(X1)
| compose(compose(g,codomain(X1)),codomain(X1)) = compose(g,codomain(X1)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_388,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(codomain(X1),compose(a,b))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_41]),
[final] ).
cnf(c_0_389,hypothesis,
( codomain(X1) != domain(a)
| codomain(b) != domain(a)
| compose(X1,compose(a,b)) != compose(compose(a,b),compose(a,b))
| X1 = compose(a,b) ),
inference(spm,[status(thm)],[c_0_61,c_0_39]),
[final] ).
cnf(c_0_390,hypothesis,
( codomain(b) != domain(a)
| codomain(compose(compose(a,b),compose(a,h))) = codomain(h) ),
inference(spm,[status(thm)],[c_0_164,c_0_39]),
[final] ).
cnf(c_0_391,hypothesis,
( codomain(h) != domain(a)
| codomain(compose(compose(a,h),compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_392,hypothesis,
( codomain(h) != domain(a)
| domain(compose(compose(a,h),compose(a,b))) = domain(a) ),
inference(spm,[status(thm)],[c_0_166,c_0_41]),
[final] ).
cnf(c_0_393,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(X1,compose(a,b)) != compose(compose(a,h),compose(a,b))
| X1 = compose(a,h) ),
inference(spm,[status(thm)],[c_0_61,c_0_40]),
[final] ).
cnf(c_0_394,hypothesis,
( codomain(h) != domain(a)
| domain(b) != domain(a)
| compose(g,compose(a,b)) != compose(a,compose(a,b))
| g = a ),
inference(spm,[status(thm)],[c_0_90,c_0_34]),
[final] ).
cnf(c_0_395,hypothesis,
( domain(X1) != domain(a)
| codomain(compose(domain(X1),compose(a,h))) = codomain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_396,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(a)
| compose(X1,compose(a,b)) != compose(g,compose(a,b))
| X1 = g ),
inference(spm,[status(thm)],[c_0_61,c_0_34]),
[final] ).
cnf(c_0_397,hypothesis,
( codomain(X1) != domain(a)
| domain(compose(codomain(X1),compose(a,h))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_45]),
[final] ).
cnf(c_0_398,hypothesis,
( codomain(X1) != domain(a)
| codomain(h) != domain(X2)
| compose(compose(X1,compose(a,h)),X2) = compose(X1,compose(compose(a,h),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_399,hypothesis,
( codomain(h) != domain(a)
| compose(compose(g,compose(a,h)),codomain(h)) = compose(g,compose(a,h)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_400,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(spm,[status(thm)],[c_0_28,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_401,plain,
( domain(X1) != domain(X2)
| codomain(compose(domain(X1),domain(X2))) = domain(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_27]),
[final] ).
cnf(c_0_402,plain,
( codomain(X1) != domain(X2)
| codomain(compose(codomain(X1),domain(X2))) = domain(X2) ),
inference(spm,[status(thm)],[c_0_158,c_0_42]),
[final] ).
cnf(c_0_403,hypothesis,
( codomain(b) != domain(X1)
| codomain(compose(compose(a,b),X1)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_39]),
[final] ).
cnf(c_0_404,hypothesis,
( codomain(h) != domain(X1)
| codomain(compose(compose(a,h),domain(X1))) = domain(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_40]),
[final] ).
cnf(c_0_405,hypothesis,
( codomain(h) != codomain(X1)
| codomain(compose(compose(a,h),codomain(X1))) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_40]),
[final] ).
cnf(c_0_406,plain,
( domain(X1) != codomain(X2)
| codomain(compose(domain(X1),codomain(X2))) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_27]),
[final] ).
cnf(c_0_407,hypothesis,
( codomain(b) != domain(X1)
| domain(compose(compose(a,b),X1)) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_39]),c_0_41]),
[final] ).
cnf(c_0_408,plain,
( codomain(X1) != codomain(X2)
| codomain(compose(codomain(X1),codomain(X2))) = codomain(X2) ),
inference(spm,[status(thm)],[c_0_159,c_0_42]),
[final] ).
cnf(c_0_409,hypothesis,
( codomain(h) != domain(X1)
| domain(compose(compose(a,h),domain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_410,hypothesis,
( codomain(h) != codomain(X1)
| domain(compose(compose(a,h),codomain(X1))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_411,plain,
( domain(X1) != domain(X2)
| domain(compose(domain(X1),domain(X2))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_412,hypothesis,
( domain(b) != domain(a)
| codomain(compose(a,compose(a,b))) = codomain(b) ),
inference(spm,[status(thm)],[c_0_152,c_0_19]),
[final] ).
cnf(c_0_413,plain,
( codomain(X1) != domain(X2)
| domain(compose(codomain(X1),domain(X2))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_414,plain,
( domain(X1) != codomain(X2)
| domain(compose(domain(X1),codomain(X2))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_27]),c_0_31]),
[final] ).
cnf(c_0_415,plain,
( codomain(X1) != codomain(X2)
| domain(compose(codomain(X1),codomain(X2))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_42]),c_0_26]),
[final] ).
cnf(c_0_416,hypothesis,
( codomain(X1) != domain(a)
| codomain(compose(codomain(X1),compose(a,h))) = codomain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_417,hypothesis,
( domain(b) != domain(a)
| domain(compose(a,compose(a,b))) = domain(a) ),
inference(spm,[status(thm)],[c_0_35,c_0_41]),
[final] ).
cnf(c_0_418,hypothesis,
( codomain(h) != domain(a)
| domain(compose(compose(a,h),compose(a,h))) = domain(a) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_40]),c_0_45]),
[final] ).
cnf(c_0_419,hypothesis,
( codomain(h) != domain(a)
| codomain(compose(compose(a,h),compose(a,h))) = codomain(h) ),
inference(spm,[status(thm)],[c_0_164,c_0_40]),
[final] ).
cnf(c_0_420,hypothesis,
( domain(b) != domain(a)
| codomain(compose(a,compose(a,h))) = codomain(h) ),
inference(spm,[status(thm)],[c_0_164,c_0_19]),
[final] ).
cnf(c_0_421,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(codomain(X1),h)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_26]),
[final] ).
cnf(c_0_422,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(codomain(X1),g)) = codomain(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_26]),
[final] ).
cnf(c_0_423,hypothesis,
( domain(b) != domain(a)
| domain(compose(a,compose(a,h))) = domain(a) ),
inference(spm,[status(thm)],[c_0_35,c_0_45]),
[final] ).
cnf(c_0_424,hypothesis,
( domain(b) != domain(X1)
| codomain(compose(a,domain(X1))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_425,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(codomain(X1),h)) = codomain(h) ),
inference(spm,[status(thm)],[c_0_169,c_0_26]),
[final] ).
cnf(c_0_426,hypothesis,
( domain(b) != domain(X1)
| domain(compose(a,domain(X1))) = domain(a) ),
inference(spm,[status(thm)],[c_0_35,c_0_31]),
[final] ).
cnf(c_0_427,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(codomain(X1),g)) = codomain(h) ),
inference(spm,[status(thm)],[c_0_170,c_0_26]),
[final] ).
cnf(c_0_428,hypothesis,
( codomain(h) != domain(a)
| codomain(compose(g,compose(a,b))) = codomain(b) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_41]),c_0_39]),
[final] ).
cnf(c_0_429,hypothesis,
( codomain(h) != domain(a)
| domain(compose(g,compose(a,b))) = domain(b) ),
inference(spm,[status(thm)],[c_0_172,c_0_41]),
[final] ).
cnf(c_0_430,hypothesis,
( codomain(h) != domain(X1)
| codomain(compose(g,domain(X1))) = domain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_31]),c_0_27]),
[final] ).
cnf(c_0_431,hypothesis,
( codomain(X1) != domain(b)
| domain(compose(a,codomain(X1))) = domain(a) ),
inference(spm,[status(thm)],[c_0_35,c_0_26]),
[final] ).
cnf(c_0_432,hypothesis,
( codomain(h) != codomain(X1)
| codomain(compose(g,codomain(X1))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_433,hypothesis,
( codomain(h) != domain(X1)
| domain(compose(g,domain(X1))) = domain(b) ),
inference(spm,[status(thm)],[c_0_172,c_0_31]),
[final] ).
cnf(c_0_434,hypothesis,
( codomain(h) != codomain(X1)
| domain(compose(g,codomain(X1))) = domain(b) ),
inference(spm,[status(thm)],[c_0_172,c_0_26]),
[final] ).
cnf(c_0_435,hypothesis,
( codomain(h) != domain(a)
| domain(compose(g,compose(a,h))) = domain(b) ),
inference(spm,[status(thm)],[c_0_172,c_0_45]),
[final] ).
cnf(c_0_436,hypothesis,
( codomain(X1) != domain(b)
| codomain(compose(a,codomain(X1))) = codomain(X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_26]),c_0_42]),
[final] ).
cnf(c_0_437,hypothesis,
( codomain(h) != domain(a)
| codomain(compose(g,compose(a,h))) = codomain(h) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_45]),c_0_29]),c_0_34]),
[final] ).
cnf(c_0_438,negated_conjecture,
h != g,
c_0_173,
[final] ).
cnf(c_0_439,plain,
compose(codomain(X1),codomain(X1)) = codomain(X1),
inference(spm,[status(thm)],[c_0_47,c_0_42]),
[final] ).
cnf(c_0_440,hypothesis,
compose(domain(b),h) = h,
inference(spm,[status(thm)],[c_0_55,c_0_16]),
[final] ).
cnf(c_0_441,hypothesis,
compose(domain(b),g) = g,
inference(spm,[status(thm)],[c_0_55,c_0_23]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.37 % Computer : n016.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 13:59:45 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.15/5.49 % Version: 3.5.1
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % Starting new_bool_3 with 300s (1) cores
% 0.15/5.49 % Starting new_bool_1 with 300s (1) cores
% 0.15/5.49 % Starting sh5l with 300s (1) cores
% 0.15/5.49 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2588626 completed with status 1
% 0.15/5.49 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.49 % No SInE strategy applied
% 0.15/5.49 % Search class: FHUPM-FFSS21-SFFFFFNN
% 0.15/5.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.15/5.49 % Starting new_bool_3 with 136s (1) cores
% 0.15/5.49 % Starting new_bool_1 with 136s (1) cores
% 0.15/5.49 % G-E--_208_C18_F1_SE_CS_SP_PS_S4d with pid 2588632 completed with status 1
% 0.15/5.49 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4d
% 0.15/5.49 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/5.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/5.49 % No SInE strategy applied
% 0.15/5.49 % Search class: FHUPM-FFSS21-SFFFFFNN
% 0.15/5.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/5.49 % Starting SubtermCWHack with 136s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/5.49 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 136s (1) cores
% 0.15/5.49 % Preprocessing time : 0.001 s
% 0.15/5.49 % Presaturation interreduction done
% 0.15/5.49
% 0.15/5.49 % No proof found!
% 0.15/5.49 % SZS status Satisfiable
% 0.15/5.49 % SZS output start Saturation
% See solution above
% 0.15/5.49 % Parsed axioms : 13
% 0.15/5.49 % Removed by relevancy pruning/SinE : 0
% 0.15/5.49 % Initial clauses : 13
% 0.15/5.49 % Removed in clause preprocessing : 0
% 0.15/5.49 % Initial clauses in saturation : 13
% 0.15/5.49 % Processed clauses : 1921
% 0.15/5.49 % ...of these trivial : 8
% 0.15/5.49 % ...subsumed : 1461
% 0.15/5.49 % ...remaining for further processing : 452
% 0.15/5.49 % Other redundant clauses eliminated : 1
% 0.15/5.49 % Clauses deleted for lack of memory : 0
% 0.15/5.49 % Backward-subsumed : 17
% 0.15/5.49 % Backward-rewritten : 4
% 0.15/5.49 % Generated clauses : 2146
% 0.15/5.49 % ...of the previous two non-redundant : 1916
% 0.15/5.49 % ...aggressively subsumed : 0
% 0.15/5.49 % Contextual simplify-reflections : 0
% 0.15/5.49 % Paramodulations : 2044
% 0.15/5.49 % Factorizations : 0
% 0.15/5.49 % NegExts : 0
% 0.15/5.49 % Equation resolutions : 102
% 0.15/5.49 % Disequality decompositions : 0
% 0.15/5.49 % Total rewrite steps : 885
% 0.15/5.49 % ...of those cached : 835
% 0.15/5.49 % Propositional unsat checks : 0
% 0.15/5.49 % Propositional check models : 0
% 0.15/5.49 % Propositional check unsatisfiable : 0
% 0.15/5.49 % Propositional clauses : 0
% 0.15/5.49 % Propositional clauses after purity: 0
% 0.15/5.49 % Propositional unsat core size : 0
% 0.15/5.49 % Propositional preprocessing time : 0.000
% 0.15/5.49 % Propositional encoding time : 0.000
% 0.15/5.49 % Propositional solver time : 0.000
% 0.15/5.49 % Success case prop preproc time : 0.000
% 0.15/5.49 % Success case prop encoding time : 0.000
% 0.15/5.49 % Success case prop solver time : 0.000
% 0.15/5.49 % Current number of processed clauses : 417
% 0.15/5.49 % Positive orientable unit clauses : 25
% 0.15/5.49 % Positive unorientable unit clauses: 0
% 0.15/5.49 % Negative unit clauses : 1
% 0.15/5.49 % Non-unit-clauses : 391
% 0.15/5.49 % Current number of unprocessed clauses: 0
% 0.15/5.49 % ...number of literals in the above : 0
% 0.15/5.49 % Current number of archived formulas : 0
% 0.15/5.49 % Current number of archived clauses : 34
% 0.15/5.49 % Clause-clause subsumption calls (NU) : 19773
% 0.15/5.49 % Rec. Clause-clause subsumption calls : 19771
% 0.15/5.49 % Non-unit clause-clause subsumptions : 1478
% 0.15/5.49 % Unit Clause-clause subsumption calls : 0
% 0.15/5.49 % Rewrite failures with RHS unbound : 0
% 0.15/5.49 % BW rewrite match attempts : 3
% 0.15/5.49 % BW rewrite match successes : 3
% 0.15/5.49 % Condensation attempts : 0
% 0.15/5.49 % Condensation successes : 0
% 0.15/5.49 % Termbank termtop insertions : 34482
% 0.15/5.49 % Search garbage collected termcells : 22
% 0.15/5.49
% 0.15/5.49 % -------------------------------------------------
% 0.15/5.49 % User time : 0.050 s
% 0.15/5.49 % System time : 0.004 s
% 0.15/5.49 % Total time : 0.054 s
% 0.15/5.49 % Maximum resident set size: 3640 pages
% 0.15/5.49
% 0.15/5.49 % -------------------------------------------------
% 0.15/5.49 % User time : 0.252 s
% 0.15/5.49 % System time : 0.022 s
% 0.15/5.49 % Total time : 0.273 s
% 0.15/5.49 % Maximum resident set size: 4864 pages
% 0.15/5.49 % E exiting
%------------------------------------------------------------------------------