TSTP Solution File: REL022-2 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : REL022-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:14:14 EDT 2023
% Result : Unsatisfiable 556.19s 63.60s
% Output : CNFRefutation 556.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 16
% Syntax : Number of clauses : 252 ( 252 unt; 0 nHn; 25 RR)
% Number of literals : 252 ( 251 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 412 ( 56 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',converse_multiplicativity_10) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',converse_idempotence_8) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',maddux2_join_associativity_2) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',def_top_12) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',composition_identity_6) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',maddux1_join_commutativity_1) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',maddux4_definiton_of_meet_4) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',composition_distributivity_7) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',converse_cancellativity_11) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',converse_additivity_9) ).
cnf(goals_17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',goals_17) ).
cnf(modular_law_1_15,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',modular_law_1_15) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',composition_associativity_5) ).
cnf(dedekind_law_14,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',dedekind_law_14) ).
cnf(goals_18,negated_conjecture,
join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) != composition(meet(sk1,one),sk2),
file('/export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p',goals_18) ).
cnf(c_0_16,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_17,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_18,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_19,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_20,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_22,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_24,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_25,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_26,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_17]) ).
cnf(c_0_27,plain,
join(X1,join(X2,complement(X1))) = join(top,X2),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_30,plain,
join(complement(X1),join(X2,X1)) = join(top,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_18]) ).
cnf(c_0_31,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_32,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_33,plain,
join(top,meet(X1,X2)) = join(X2,top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_30]),c_0_18]),c_0_19]) ).
cnf(c_0_34,plain,
meet(X1,complement(X1)) = complement(top),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_35,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_36,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]) ).
cnf(c_0_37,plain,
join(top,complement(complement(X1))) = join(X1,top),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_38,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19]),c_0_23]) ).
cnf(c_0_39,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_40,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_41,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
composition(join(one,one),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_32]),c_0_29]),c_0_32]),c_0_40]) ).
cnf(c_0_43,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_23,c_0_41]) ).
cnf(c_0_44,plain,
join(meet(X1,top),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_28,c_0_41]) ).
cnf(c_0_45,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_25]) ).
cnf(c_0_46,plain,
join(complement(top),complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_40]),c_0_34]),c_0_42]) ).
cnf(c_0_47,plain,
join(X1,join(X2,complement(X1))) = top,
inference(rw,[status(thm)],[c_0_27,c_0_43]) ).
cnf(c_0_48,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_23]) ).
cnf(c_0_49,plain,
join(meet(top,X1),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
meet(top,complement(X1)) = complement(X1),
inference(spm,[status(thm)],[c_0_25,c_0_46]) ).
cnf(c_0_51,plain,
join(complement(X1),join(X2,X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_28]),c_0_18]) ).
cnf(c_0_52,plain,
join(meet(X1,X1),complement(top)) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_53,plain,
join(complement(X1),complement(top)) = complement(X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
join(complement(complement(top)),X1) = top,
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,plain,
complement(complement(X1)) = meet(X1,top),
inference(spm,[status(thm)],[c_0_25,c_0_53]) ).
cnf(c_0_56,plain,
complement(complement(top)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_54]),c_0_42]) ).
cnf(c_0_57,plain,
meet(X1,top) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_55]),c_0_44]) ).
cnf(c_0_58,plain,
meet(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_56]),c_0_23]),c_0_43]) ).
cnf(c_0_59,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_55,c_0_57]) ).
cnf(c_0_60,plain,
join(complement(top),meet(X1,top)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_58]),c_0_25]) ).
cnf(c_0_61,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_25,c_0_59]) ).
cnf(c_0_62,plain,
join(complement(top),meet(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_63,plain,
join(complement(top),X1) = X1,
inference(rw,[status(thm)],[c_0_60,c_0_57]) ).
cnf(c_0_64,plain,
complement(meet(complement(X1),X2)) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_59,c_0_61]) ).
cnf(c_0_65,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_66,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_67,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_55]),c_0_57]),c_0_55]),c_0_57]) ).
cnf(c_0_68,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_66,c_0_17]) ).
cnf(c_0_69,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_67]) ).
cnf(c_0_70,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_68,c_0_19]) ).
cnf(c_0_71,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_72,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_48]),c_0_23]) ).
cnf(c_0_73,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_70,c_0_43]) ).
cnf(c_0_74,plain,
join(X1,composition(X1,converse(X2))) = composition(X1,converse(join(X2,one))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_36]),c_0_71]),c_0_71]) ).
cnf(c_0_75,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_72,c_0_45]) ).
cnf(c_0_76,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_70,c_0_73]) ).
cnf(c_0_77,plain,
join(X1,composition(X1,X2)) = composition(X1,join(X2,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_17]),c_0_68]),c_0_29]) ).
cnf(c_0_78,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_18,c_0_75]) ).
cnf(c_0_79,plain,
converse(complement(converse(complement(top)))) = top,
inference(spm,[status(thm)],[c_0_76,c_0_63]) ).
cnf(c_0_80,plain,
composition(join(X1,one),X1) = composition(X1,join(X1,one)),
inference(spm,[status(thm)],[c_0_36,c_0_77]) ).
cnf(c_0_81,plain,
composition(join(X1,one),top) = top,
inference(spm,[status(thm)],[c_0_36,c_0_43]) ).
cnf(c_0_82,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_78,c_0_48]) ).
cnf(c_0_83,plain,
composition(converse(X1),complement(composition(X1,top))) = complement(top),
inference(spm,[status(thm)],[c_0_39,c_0_63]) ).
cnf(c_0_84,negated_conjecture,
composition(sk1,top) = sk1,
goals_17 ).
cnf(c_0_85,plain,
complement(converse(complement(top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_79]),c_0_73]) ).
cnf(c_0_86,plain,
composition(top,top) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_23]),c_0_41]) ).
cnf(c_0_87,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_82,c_0_45]) ).
cnf(c_0_88,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_61,c_0_59]) ).
cnf(c_0_89,plain,
complement(join(complement(X1),X2)) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_61,c_0_23]) ).
cnf(c_0_90,negated_conjecture,
composition(converse(sk1),complement(sk1)) = complement(top),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,plain,
converse(complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_85]),c_0_57]) ).
cnf(c_0_92,axiom,
join(meet(composition(X1,X2),X3),meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3)) = meet(composition(X1,meet(X2,composition(converse(X1),X3))),X3),
modular_law_1_15 ).
cnf(c_0_93,plain,
composition(top,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_86]),c_0_73]),c_0_36]),c_0_23]),c_0_41]) ).
cnf(c_0_94,plain,
join(X1,complement(top)) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_57]) ).
cnf(c_0_95,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_96,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,plain,
meet(X1,complement(meet(X2,X1))) = meet(complement(X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_82]),c_0_89]),c_0_55]),c_0_57]),c_0_45]) ).
cnf(c_0_98,negated_conjecture,
composition(converse(complement(sk1)),sk1) = complement(top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_90]),c_0_91]) ).
cnf(c_0_99,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(X1,meet(X2,composition(converse(X1),X3))))) = meet(X3,composition(X1,meet(X2,composition(converse(X1),X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_45]),c_0_45]) ).
cnf(c_0_100,plain,
composition(X1,complement(top)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_93]),c_0_41]),c_0_93]),c_0_94]) ).
cnf(c_0_101,negated_conjecture,
composition(sk1,composition(top,X1)) = composition(sk1,X1),
inference(spm,[status(thm)],[c_0_95,c_0_84]) ).
cnf(c_0_102,plain,
composition(top,join(X1,one)) = top,
inference(spm,[status(thm)],[c_0_77,c_0_43]) ).
cnf(c_0_103,plain,
meet(X1,join(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_72]),c_0_55]),c_0_57]),c_0_64]),c_0_45]) ).
cnf(c_0_104,plain,
join(X1,complement(converse(complement(converse(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_76]),c_0_94]) ).
cnf(c_0_105,plain,
join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_106,plain,
meet(X1,join(X2,complement(X1))) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_64]),c_0_59]) ).
cnf(c_0_107,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_66,c_0_17]) ).
cnf(c_0_108,plain,
meet(top,X1) = X1,
inference(spm,[status(thm)],[c_0_45,c_0_57]) ).
cnf(c_0_109,negated_conjecture,
composition(join(converse(complement(sk1)),X1),sk1) = composition(X1,sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_98]),c_0_63]) ).
cnf(c_0_110,negated_conjecture,
meet(composition(sk1,X1),complement(sk1)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_90]),c_0_58]),c_0_100]),c_0_58]),c_0_94]),c_0_58]),c_0_100]),c_0_58]) ).
cnf(c_0_111,negated_conjecture,
composition(sk1,join(X1,one)) = sk1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_84]) ).
cnf(c_0_112,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_103,c_0_59]) ).
cnf(c_0_113,plain,
join(one,complement(converse(complement(one)))) = one,
inference(spm,[status(thm)],[c_0_104,c_0_29]) ).
cnf(c_0_114,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_105,c_0_67]) ).
cnf(c_0_115,plain,
meet(X1,join(complement(X1),X2)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_106,c_0_23]) ).
cnf(c_0_116,plain,
join(converse(X1),composition(X2,converse(X3))) = converse(join(X1,composition(X3,converse(X2)))),
inference(spm,[status(thm)],[c_0_66,c_0_71]) ).
cnf(c_0_117,plain,
composition(join(converse(X1),X2),converse(X3)) = converse(composition(X3,join(X1,converse(X2)))),
inference(spm,[status(thm)],[c_0_16,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
join(meet(sk1,X1),meet(X1,composition(sk1,composition(converse(sk1),X1)))) = meet(X1,composition(sk1,composition(converse(sk1),X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_84]),c_0_108]),c_0_108]) ).
cnf(c_0_119,negated_conjecture,
composition(converse(sk1),sk1) = composition(top,sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_76]),c_0_17]),c_0_59]) ).
cnf(c_0_120,negated_conjecture,
meet(sk1,composition(sk1,X1)) = composition(sk1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_110]),c_0_59]),c_0_63]),c_0_45]) ).
cnf(c_0_121,negated_conjecture,
composition(sk1,join(one,X1)) = sk1,
inference(spm,[status(thm)],[c_0_111,c_0_23]) ).
cnf(c_0_122,plain,
join(one,converse(X1)) = converse(join(one,X1)),
inference(spm,[status(thm)],[c_0_66,c_0_29]) ).
cnf(c_0_123,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_112,c_0_105]) ).
cnf(c_0_124,plain,
meet(X1,composition(join(X2,one),X1)) = X1,
inference(spm,[status(thm)],[c_0_112,c_0_36]) ).
cnf(c_0_125,plain,
join(complement(X1),join(X1,X2)) = top,
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
cnf(c_0_126,plain,
join(X1,converse(meet(X2,converse(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_75]),c_0_17]) ).
cnf(c_0_127,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_61,c_0_113]) ).
cnf(c_0_128,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_112,c_0_114]) ).
cnf(c_0_129,plain,
join(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_104]),c_0_17]),c_0_17]) ).
cnf(c_0_130,plain,
meet(X1,converse(complement(converse(complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_76]),c_0_57]),c_0_45]) ).
cnf(c_0_131,plain,
converse(join(composition(X1,X2),composition(X1,converse(X3)))) = converse(composition(X1,join(X2,converse(X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_116]),c_0_117]) ).
cnf(c_0_132,negated_conjecture,
composition(sk1,sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_65]),c_0_101]),c_0_120]),c_0_77]),c_0_111]),c_0_101]),c_0_120]) ).
cnf(c_0_133,negated_conjecture,
composition(sk1,converse(join(one,X1))) = sk1,
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_134,plain,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_123,c_0_75]) ).
cnf(c_0_135,plain,
meet(X1,composition(top,X1)) = X1,
inference(spm,[status(thm)],[c_0_124,c_0_43]) ).
cnf(c_0_136,plain,
join(X1,complement(meet(X1,X2))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_48]),c_0_23]) ).
cnf(c_0_137,plain,
join(complement(one),converse(complement(one))) = complement(one),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_138,plain,
converse(complement(converse(complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_45]),c_0_130]) ).
cnf(c_0_139,negated_conjecture,
converse(composition(sk1,join(sk1,converse(X1)))) = converse(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_77]),c_0_23]),c_0_122]),c_0_133]) ).
cnf(c_0_140,plain,
meet(X1,join(X2,composition(top,X1))) = X1,
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_141,plain,
join(X1,complement(meet(X2,X1))) = top,
inference(spm,[status(thm)],[c_0_136,c_0_45]) ).
cnf(c_0_142,plain,
converse(complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_137]),c_0_45]),c_0_127]) ).
cnf(c_0_143,plain,
complement(converse(complement(X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_17,c_0_138]) ).
cnf(c_0_144,negated_conjecture,
composition(sk1,join(sk1,converse(X1))) = sk1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_139]),c_0_17]) ).
cnf(c_0_145,plain,
join(meet(X1,X2),meet(X2,complement(X1))) = X2,
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_146,plain,
meet(X1,join(composition(top,X1),X2)) = X1,
inference(spm,[status(thm)],[c_0_140,c_0_23]) ).
cnf(c_0_147,plain,
meet(X1,meet(X2,complement(X1))) = complement(top),
inference(spm,[status(thm)],[c_0_25,c_0_141]) ).
cnf(c_0_148,plain,
join(complement(one),converse(X1)) = converse(join(complement(one),X1)),
inference(spm,[status(thm)],[c_0_66,c_0_142]) ).
cnf(c_0_149,plain,
complement(converse(X1)) = converse(complement(X1)),
inference(spm,[status(thm)],[c_0_59,c_0_143]) ).
cnf(c_0_150,negated_conjecture,
composition(sk1,join(sk1,X1)) = sk1,
inference(spm,[status(thm)],[c_0_144,c_0_17]) ).
cnf(c_0_151,plain,
join(X1,join(composition(top,X1),X2)) = join(composition(top,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_82]) ).
cnf(c_0_152,plain,
join(converse(X1),composition(converse(X2),X3)) = converse(join(X1,composition(converse(X3),X2))),
inference(spm,[status(thm)],[c_0_66,c_0_20]) ).
cnf(c_0_153,plain,
join(complement(X1),complement(X2)) = complement(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_154,plain,
meet(complement(X1),meet(X2,X1)) = complement(top),
inference(spm,[status(thm)],[c_0_147,c_0_59]) ).
cnf(c_0_155,axiom,
join(meet(composition(X1,X2),X3),composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,converse(X2))),meet(X2,composition(converse(X1),X3))),
dedekind_law_14 ).
cnf(c_0_156,plain,
meet(one,converse(complement(X1))) = converse(meet(one,complement(X1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_148]),c_0_149]),c_0_89]),c_0_149]),c_0_45]),c_0_45]) ).
cnf(c_0_157,plain,
complement(join(X1,join(X2,complement(X3)))) = meet(complement(join(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_61,c_0_18]) ).
cnf(c_0_158,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_18,c_0_72]) ).
cnf(c_0_159,negated_conjecture,
composition(sk1,join(composition(top,sk1),X1)) = sk1,
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_160,negated_conjecture,
join(composition(top,sk1),converse(X1)) = converse(join(X1,composition(top,sk1))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_119]),c_0_119]),c_0_23]) ).
cnf(c_0_161,plain,
join(composition(X1,converse(X2)),converse(X3)) = converse(join(composition(X2,converse(X1)),X3)),
inference(spm,[status(thm)],[c_0_66,c_0_71]) ).
cnf(c_0_162,plain,
composition(join(X1,converse(X2)),converse(X3)) = converse(composition(X3,join(converse(X1),X2))),
inference(spm,[status(thm)],[c_0_16,c_0_68]) ).
cnf(c_0_163,plain,
composition(converse(X1),top) = converse(composition(top,X1)),
inference(spm,[status(thm)],[c_0_20,c_0_73]) ).
cnf(c_0_164,plain,
meet(X1,join(meet(X2,complement(X1)),X3)) = meet(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_78]),c_0_115]),c_0_45]) ).
cnf(c_0_165,plain,
join(meet(X1,X2),join(meet(X1,complement(X2)),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_18,c_0_48]) ).
cnf(c_0_166,plain,
converse(complement(join(converse(X1),X2))) = complement(join(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_149,c_0_68]) ).
cnf(c_0_167,plain,
join(converse(complement(X1)),complement(X2)) = complement(meet(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_153,c_0_149]) ).
cnf(c_0_168,plain,
join(complement(X1),converse(complement(X2))) = complement(meet(X1,converse(X2))),
inference(spm,[status(thm)],[c_0_153,c_0_149]) ).
cnf(c_0_169,plain,
meet(X1,complement(join(X2,X1))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_88]),c_0_55]),c_0_57]) ).
cnf(c_0_170,plain,
composition(meet(one,composition(X1,converse(X2))),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_29]),c_0_32]),c_0_32]),c_0_36]),c_0_32]),c_0_23]),c_0_72]),c_0_32]) ).
cnf(c_0_171,plain,
meet(one,converse(X1)) = converse(meet(one,X1)),
inference(spm,[status(thm)],[c_0_156,c_0_59]) ).
cnf(c_0_172,plain,
meet(meet(complement(X1),X2),X3) = meet(complement(X1),meet(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_153]),c_0_61]),c_0_61]) ).
cnf(c_0_173,negated_conjecture,
join(sk1,join(composition(sk1,X1),X2)) = join(sk1,X2),
inference(spm,[status(thm)],[c_0_158,c_0_120]) ).
cnf(c_0_174,negated_conjecture,
composition(sk1,converse(join(X1,composition(top,sk1)))) = sk1,
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_175,plain,
converse(join(composition(X1,converse(X2)),composition(X1,X3))) = converse(composition(X1,join(converse(X2),X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_16]),c_0_161]),c_0_162]) ).
cnf(c_0_176,plain,
converse(composition(top,join(X1,converse(X2)))) = composition(join(converse(X1),X2),top),
inference(spm,[status(thm)],[c_0_163,c_0_107]) ).
cnf(c_0_177,plain,
composition(join(one,X1),X1) = composition(X1,join(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_80]),c_0_23]),c_0_122]),c_0_16]),c_0_17]),c_0_23]),c_0_122]),c_0_17]) ).
cnf(c_0_178,plain,
meet(X1,join(meet(X2,X1),X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_55]),c_0_57]),c_0_45]) ).
cnf(c_0_179,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_23]),c_0_18]) ).
cnf(c_0_180,plain,
converse(meet(converse(X1),X2)) = meet(X1,converse(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_59]),c_0_168]),c_0_59]) ).
cnf(c_0_181,plain,
meet(composition(X1,X2),complement(composition(X1,join(X2,one)))) = complement(top),
inference(spm,[status(thm)],[c_0_169,c_0_77]) ).
cnf(c_0_182,plain,
composition(converse(meet(one,X1)),meet(X1,one)) = meet(X1,one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_32]),c_0_171]) ).
cnf(c_0_183,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_172,c_0_59]) ).
cnf(c_0_184,plain,
meet(X1,complement(meet(X1,X2))) = meet(complement(X2),X1),
inference(spm,[status(thm)],[c_0_97,c_0_45]) ).
cnf(c_0_185,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_75]),c_0_72]) ).
cnf(c_0_186,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_75]),c_0_45]) ).
cnf(c_0_187,plain,
meet(complement(X1),join(X1,X2)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_115,c_0_59]) ).
cnf(c_0_188,negated_conjecture,
join(sk1,composition(join(sk1,X1),X2)) = join(sk1,composition(X1,X2)),
inference(spm,[status(thm)],[c_0_173,c_0_31]) ).
cnf(c_0_189,negated_conjecture,
meet(sk1,composition(complement(sk1),X1)) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_98]),c_0_58]),c_0_100]),c_0_58]),c_0_94]),c_0_58]),c_0_100]),c_0_58]),c_0_45]) ).
cnf(c_0_190,negated_conjecture,
composition(sk1,composition(join(converse(sk1),X1),top)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_23]),c_0_176]) ).
cnf(c_0_191,plain,
composition(join(X1,complement(one)),top) = composition(top,join(X1,complement(one))),
inference(spm,[status(thm)],[c_0_177,c_0_47]) ).
cnf(c_0_192,plain,
meet(X1,join(meet(X1,X2),X3)) = meet(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_178,c_0_45]) ).
cnf(c_0_193,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_179,c_0_75]) ).
cnf(c_0_194,plain,
converse(meet(X1,converse(X2))) = meet(converse(X1),X2),
inference(spm,[status(thm)],[c_0_17,c_0_180]) ).
cnf(c_0_195,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_196,plain,
meet(X1,converse(meet(one,complement(X1)))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_23]),c_0_75]),c_0_21]),c_0_149]),c_0_183]),c_0_171]),c_0_184]),c_0_45]) ).
cnf(c_0_197,plain,
meet(converse(meet(one,X1)),X2) = meet(one,meet(converse(X1),X2)),
inference(spm,[status(thm)],[c_0_183,c_0_171]) ).
cnf(c_0_198,plain,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
cnf(c_0_199,plain,
meet(join(X1,X2),complement(X1)) = meet(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_45,c_0_187]) ).
cnf(c_0_200,negated_conjecture,
join(sk1,composition(complement(sk1),X1)) = join(sk1,composition(top,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_76]),c_0_149]),c_0_17]) ).
cnf(c_0_201,negated_conjecture,
meet(complement(sk1),composition(complement(sk1),X1)) = composition(complement(sk1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_189]),c_0_55]),c_0_57]),c_0_57]) ).
cnf(c_0_202,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_175]),c_0_17]) ).
cnf(c_0_203,negated_conjecture,
composition(sk1,converse(join(sk1,complement(one)))) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_101]),c_0_23]),c_0_148]),c_0_23]) ).
cnf(c_0_204,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_114]),c_0_193]) ).
cnf(c_0_205,plain,
join(meet(converse(composition(top,X1)),X2),meet(X2,composition(converse(X1),composition(X1,X2)))) = meet(X2,composition(converse(X1),composition(X1,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_163]),c_0_17]),c_0_17]),c_0_108]),c_0_108]) ).
cnf(c_0_206,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_48]),c_0_45]) ).
cnf(c_0_207,plain,
converse(meet(X1,meet(X2,converse(X3)))) = meet(converse(meet(X1,X2)),X3),
inference(spm,[status(thm)],[c_0_194,c_0_183]) ).
cnf(c_0_208,plain,
meet(one,meet(X1,converse(X1))) = converse(meet(one,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_55]),c_0_57]),c_0_197]),c_0_94]),c_0_55]),c_0_57]),c_0_45]) ).
cnf(c_0_209,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_198]),c_0_45]) ).
cnf(c_0_210,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(spm,[status(thm)],[c_0_45,c_0_183]) ).
cnf(c_0_211,plain,
meet(X1,meet(composition(top,X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_183,c_0_135]) ).
cnf(c_0_212,negated_conjecture,
meet(composition(top,X1),complement(sk1)) = composition(complement(sk1),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_199]),c_0_45]),c_0_201]) ).
cnf(c_0_213,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_202,c_0_17]) ).
cnf(c_0_214,plain,
complement(meet(X1,complement(X2))) = join(X2,complement(X1)),
inference(spm,[status(thm)],[c_0_64,c_0_45]) ).
cnf(c_0_215,plain,
meet(composition(X1,X2),complement(composition(X1,top))) = complement(top),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_83]),c_0_58]),c_0_100]),c_0_58]),c_0_94]),c_0_58]),c_0_100]),c_0_58]) ).
cnf(c_0_216,negated_conjecture,
composition(meet(sk1,one),sk1) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_203]),c_0_45]),c_0_45]),c_0_112]),c_0_45]),c_0_112]) ).
cnf(c_0_217,plain,
converse(meet(one,composition(converse(X1),X2))) = meet(one,composition(converse(X2),X1)),
inference(spm,[status(thm)],[c_0_171,c_0_20]) ).
cnf(c_0_218,plain,
meet(X1,composition(converse(X2),composition(X2,X1))) = meet(X1,converse(composition(top,X2))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]),c_0_178]),c_0_152]),c_0_31]),c_0_43]) ).
cnf(c_0_219,plain,
converse(meet(one,X1)) = meet(one,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_17]),c_0_197]),c_0_45]),c_0_208]) ).
cnf(c_0_220,plain,
meet(X1,meet(join(X2,join(X3,X1)),X4)) = meet(X4,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_123]),c_0_210]) ).
cnf(c_0_221,plain,
composition(meet(one,X1),meet(one,X1)) = meet(one,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_29]),c_0_21]) ).
cnf(c_0_222,negated_conjecture,
meet(X1,composition(complement(sk1),X1)) = meet(X1,complement(sk1)),
inference(spm,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_223,plain,
composition(converse(X1),meet(X2,converse(X3))) = converse(composition(meet(converse(X2),X3),X1)),
inference(spm,[status(thm)],[c_0_16,c_0_180]) ).
cnf(c_0_224,plain,
composition(X1,meet(X2,converse(composition(top,X1)))) = composition(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_57]),c_0_163]),c_0_163]),c_0_108]),c_0_213]),c_0_72]),c_0_108]) ).
cnf(c_0_225,plain,
composition(top,converse(X1)) = converse(composition(X1,top)),
inference(spm,[status(thm)],[c_0_16,c_0_73]) ).
cnf(c_0_226,plain,
meet(converse(X1),converse(X2)) = converse(meet(X1,X2)),
inference(spm,[status(thm)],[c_0_180,c_0_17]) ).
cnf(c_0_227,plain,
join(meet(X1,X2),complement(X2)) = join(X1,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_97]),c_0_64]) ).
cnf(c_0_228,negated_conjecture,
meet(sk1,complement(composition(meet(sk1,one),top))) = complement(top),
inference(spm,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_229,negated_conjecture,
join(sk1,composition(X1,top)) = composition(join(X1,sk1),top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_84]),c_0_23]) ).
cnf(c_0_230,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_82,c_0_88]) ).
cnf(c_0_231,plain,
meet(composition(X1,X2),composition(join(X3,X1),X2)) = composition(X1,X2),
inference(spm,[status(thm)],[c_0_128,c_0_31]) ).
cnf(c_0_232,plain,
meet(one,composition(converse(X1),X1)) = meet(one,composition(top,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_171]),c_0_17]),c_0_21]) ).
cnf(c_0_233,plain,
converse(meet(X1,one)) = meet(X1,one),
inference(spm,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_234,plain,
composition(meet(X1,one),meet(X1,one)) = meet(X1,one),
inference(spm,[status(thm)],[c_0_221,c_0_186]) ).
cnf(c_0_235,negated_conjecture,
meet(X1,join(composition(complement(sk1),X1),X2)) = meet(X1,join(complement(sk1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_222]),c_0_192]) ).
cnf(c_0_236,plain,
composition(converse(X1),meet(X2,composition(X1,top))) = composition(converse(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_226]),c_0_20]) ).
cnf(c_0_237,negated_conjecture,
composition(meet(sk1,one),top) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_59]),c_0_63]),c_0_59]),c_0_229]),c_0_23]),c_0_72]),c_0_84]) ).
cnf(c_0_238,plain,
meet(join(X1,X2),join(X2,complement(X1))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_230]),c_0_128]) ).
cnf(c_0_239,negated_conjecture,
join(sk1,composition(meet(sk1,X1),X2)) = sk1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_72]),c_0_77]),c_0_111]) ).
cnf(c_0_240,plain,
meet(composition(X1,X2),composition(meet(X1,X3),X2)) = composition(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_72]),c_0_45]) ).
cnf(c_0_241,plain,
meet(one,composition(top,meet(X1,one))) = meet(X1,one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_186]) ).
cnf(c_0_242,plain,
join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_82,c_0_59]) ).
cnf(c_0_243,negated_conjecture,
meet(X1,join(complement(sk1),composition(X2,X1))) = meet(X1,composition(join(complement(sk1),X2),X1)),
inference(spm,[status(thm)],[c_0_235,c_0_31]) ).
cnf(c_0_244,negated_conjecture,
composition(meet(sk1,one),meet(X1,sk1)) = composition(meet(sk1,one),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_233]),c_0_233]) ).
cnf(c_0_245,negated_conjecture,
meet(sk1,composition(meet(sk1,X1),X2)) = composition(meet(sk1,X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_106]),c_0_45]) ).
cnf(c_0_246,plain,
meet(X1,composition(meet(X2,one),X1)) = composition(meet(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_32]) ).
cnf(c_0_247,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_242,c_0_45]) ).
cnf(c_0_248,plain,
meet(X1,composition(join(one,X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_124,c_0_23]) ).
cnf(c_0_249,negated_conjecture,
join(meet(sk1,sk2),composition(meet(sk1,one),sk2)) != composition(meet(sk1,one),sk2),
goals_18 ).
cnf(c_0_250,negated_conjecture,
composition(meet(sk1,one),X1) = meet(X1,sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_183]),c_0_115]),c_0_45]),c_0_245]),c_0_246]),c_0_247]),c_0_23]),c_0_248]) ).
cnf(c_0_251,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250]),c_0_45]),c_0_67]),c_0_250]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : REL022-2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 15:08:20 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.aNFXylKgyL/E---3.1_11923.p
% 556.19/63.60 # Version: 3.1pre001
% 556.19/63.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 556.19/63.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 556.19/63.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 556.19/63.60 # Starting new_bool_3 with 300s (1) cores
% 556.19/63.60 # Starting new_bool_1 with 300s (1) cores
% 556.19/63.60 # Starting sh5l with 300s (1) cores
% 556.19/63.60 # new_bool_3 with pid 12001 completed with status 0
% 556.19/63.60 # Result found by new_bool_3
% 556.19/63.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 556.19/63.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 556.19/63.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 556.19/63.60 # Starting new_bool_3 with 300s (1) cores
% 556.19/63.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 556.19/63.60 # Search class: FUUPM-FFMF21-DFFFFFNN
% 556.19/63.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 556.19/63.60 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 556.19/63.60 # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 12005 completed with status 0
% 556.19/63.60 # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 556.19/63.60 # Preprocessing class: FSMSSMSSSSSNFFN.
% 556.19/63.60 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 556.19/63.60 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 556.19/63.60 # Starting new_bool_3 with 300s (1) cores
% 556.19/63.60 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 556.19/63.60 # Search class: FUUPM-FFMF21-DFFFFFNN
% 556.19/63.60 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 556.19/63.60 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 556.19/63.60 # Preprocessing time : 0.001 s
% 556.19/63.60 # Presaturation interreduction done
% 556.19/63.60
% 556.19/63.60 # Proof found!
% 556.19/63.60 # SZS status Unsatisfiable
% 556.19/63.60 # SZS output start CNFRefutation
% See solution above
% 556.19/63.60 # Parsed axioms : 18
% 556.19/63.60 # Removed by relevancy pruning/SinE : 1
% 556.19/63.60 # Initial clauses : 17
% 556.19/63.60 # Removed in clause preprocessing : 0
% 556.19/63.60 # Initial clauses in saturation : 17
% 556.19/63.60 # Processed clauses : 64530
% 556.19/63.60 # ...of these trivial : 35030
% 556.19/63.60 # ...subsumed : 25280
% 556.19/63.60 # ...remaining for further processing : 4220
% 556.19/63.60 # Other redundant clauses eliminated : 0
% 556.19/63.60 # Clauses deleted for lack of memory : 292594
% 556.19/63.60 # Backward-subsumed : 1
% 556.19/63.60 # Backward-rewritten : 950
% 556.19/63.60 # Generated clauses : 3240757
% 556.19/63.60 # ...of the previous two non-redundant : 2121516
% 556.19/63.60 # ...aggressively subsumed : 0
% 556.19/63.60 # Contextual simplify-reflections : 0
% 556.19/63.60 # Paramodulations : 3240757
% 556.19/63.60 # Factorizations : 0
% 556.19/63.60 # NegExts : 0
% 556.19/63.60 # Equation resolutions : 0
% 556.19/63.60 # Total rewrite steps : 8898918
% 556.19/63.60 # Propositional unsat checks : 0
% 556.19/63.60 # Propositional check models : 0
% 556.19/63.60 # Propositional check unsatisfiable : 0
% 556.19/63.60 # Propositional clauses : 0
% 556.19/63.60 # Propositional clauses after purity: 0
% 556.19/63.60 # Propositional unsat core size : 0
% 556.19/63.60 # Propositional preprocessing time : 0.000
% 556.19/63.60 # Propositional encoding time : 0.000
% 556.19/63.60 # Propositional solver time : 0.000
% 556.19/63.60 # Success case prop preproc time : 0.000
% 556.19/63.60 # Success case prop encoding time : 0.000
% 556.19/63.60 # Success case prop solver time : 0.000
% 556.19/63.60 # Current number of processed clauses : 3252
% 556.19/63.60 # Positive orientable unit clauses : 3195
% 556.19/63.60 # Positive unorientable unit clauses: 57
% 556.19/63.60 # Negative unit clauses : 0
% 556.19/63.60 # Non-unit-clauses : 0
% 556.19/63.60 # Current number of unprocessed clauses: 1277100
% 556.19/63.60 # ...number of literals in the above : 1277100
% 556.19/63.60 # Current number of archived formulas : 0
% 556.19/63.60 # Current number of archived clauses : 968
% 556.19/63.60 # Clause-clause subsumption calls (NU) : 0
% 556.19/63.60 # Rec. Clause-clause subsumption calls : 0
% 556.19/63.60 # Non-unit clause-clause subsumptions : 0
% 556.19/63.60 # Unit Clause-clause subsumption calls : 2122
% 556.19/63.60 # Rewrite failures with RHS unbound : 0
% 556.19/63.60 # BW rewrite match attempts : 29703
% 556.19/63.60 # BW rewrite match successes : 1796
% 556.19/63.60 # Condensation attempts : 0
% 556.19/63.60 # Condensation successes : 0
% 556.19/63.60 # Termbank termtop insertions : 70616918
% 556.19/63.60
% 556.19/63.60 # -------------------------------------------------
% 556.19/63.60 # User time : 60.942 s
% 556.19/63.60 # System time : 1.515 s
% 556.19/63.60 # Total time : 62.457 s
% 556.19/63.60 # Maximum resident set size: 1624 pages
% 556.19/63.60
% 556.19/63.60 # -------------------------------------------------
% 556.19/63.60 # User time : 60.944 s
% 556.19/63.60 # System time : 1.519 s
% 556.19/63.60 # Total time : 62.463 s
% 556.19/63.60 # Maximum resident set size: 1728 pages
% 556.19/63.60 % E---3.1 exiting
%------------------------------------------------------------------------------