TSTP Solution File: REL040-4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : REL040-4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 19:13:50 EDT 2023
% Result : Unsatisfiable 769.36s 97.54s
% Output : CNFRefutation 769.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 16
% Syntax : Number of clauses : 199 ( 196 unt; 0 nHn; 13 RR)
% Number of literals : 202 ( 201 equ; 7 neg)
% Maximal clause size : 2 ( 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 : 403 ( 32 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',converse_multiplicativity_10) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',composition_identity_6) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',converse_idempotence_8) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',converse_cancellativity_11) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',maddux1_join_commutativity_1) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',composition_distributivity_7) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',maddux2_join_associativity_2) ).
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.ZXdYJHicic/E---3.1_3107.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.ZXdYJHicic/E---3.1_3107.p',maddux4_definiton_of_meet_4) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',converse_additivity_9) ).
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.ZXdYJHicic/E---3.1_3107.p',dedekind_law_14) ).
cnf(modular_law_2_16,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',modular_law_2_16) ).
cnf(composition_associativity_5,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',composition_associativity_5) ).
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.ZXdYJHicic/E---3.1_3107.p',modular_law_1_15) ).
cnf(goals_17,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p',goals_17) ).
cnf(goals_18,negated_conjecture,
( join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != meet(composition(sk1,sk2),composition(sk1,sk3))
| join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)) ),
file('/export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.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,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_18,plain,
composition(converse(one),converse(X1)) = converse(X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_20,plain,
composition(converse(one),X1) = X1,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_22,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_23,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_24,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_25,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_23]) ).
cnf(c_0_28,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_29,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_21]),c_0_25]) ).
cnf(c_0_30,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(spm,[status(thm)],[c_0_27,c_0_25]) ).
cnf(c_0_31,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_32,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_33,plain,
join(composition(join(X1,one),X2),X3) = join(X2,join(composition(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_34,plain,
composition(join(one,one),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]) ).
cnf(c_0_37,plain,
complement(complement(X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_38,plain,
join(meet(X1,X2),meet(X1,complement(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_32]),c_0_23]) ).
cnf(c_0_39,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_23]),c_0_32]) ).
cnf(c_0_40,plain,
join(meet(X1,X1),join(meet(X1,X1),X2)) = join(meet(X1,X1),X2),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
join(meet(X1,X2),meet(complement(X2),X1)) = X1,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,plain,
join(X1,meet(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23]) ).
cnf(c_0_43,plain,
join(X1,join(meet(X1,X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_28,c_0_42]) ).
cnf(c_0_44,plain,
join(meet(complement(X1),X2),meet(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_23,c_0_41]) ).
cnf(c_0_45,plain,
complement(join(complement(X1),meet(X2,X3))) = meet(X1,join(complement(X2),complement(X3))),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_46,plain,
join(complement(X1),meet(X1,complement(X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_30]),c_0_34]),c_0_39]) ).
cnf(c_0_47,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_48,plain,
join(X1,meet(X1,complement(X1))) = join(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_39]) ).
cnf(c_0_49,plain,
join(meet(X1,X2),complement(join(complement(X2),X1))) = X2,
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_50,plain,
meet(X1,join(meet(X1,X1),complement(X1))) = meet(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_37]),c_0_37]),c_0_23]) ).
cnf(c_0_51,plain,
complement(join(meet(X1,X2),complement(X3))) = meet(join(complement(X1),complement(X2)),X3),
inference(spm,[status(thm)],[c_0_32,c_0_32]) ).
cnf(c_0_52,plain,
join(complement(X1),composition(join(converse(X2),converse(X3)),complement(composition(join(X2,X3),X1)))) = complement(X1),
inference(spm,[status(thm)],[c_0_26,c_0_47]) ).
cnf(c_0_53,plain,
join(X1,join(meet(X1,complement(X1)),X2)) = join(X1,join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_48]),c_0_28]) ).
cnf(c_0_54,plain,
composition(join(one,one),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_55,plain,
join(meet(X1,X2),complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_56,plain,
join(meet(X1,X1),complement(join(X1,X1))) = join(meet(X1,X1),complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_30]),c_0_34]),c_0_39]),c_0_23]),c_0_48]) ).
cnf(c_0_57,plain,
join(complement(X1),complement(join(X1,X1))) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_30]),c_0_21]),c_0_21]),c_0_34]) ).
cnf(c_0_58,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_28]) ).
cnf(c_0_59,plain,
join(X1,join(X1,X1)) = join(X1,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_30]),c_0_54]),c_0_48]),c_0_48]) ).
cnf(c_0_60,plain,
join(meet(X1,X2),complement(join(X1,complement(X2)))) = X2,
inference(spm,[status(thm)],[c_0_55,c_0_39]) ).
cnf(c_0_61,plain,
join(X1,complement(join(X1,X1))) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_56]),c_0_43]) ).
cnf(c_0_62,plain,
meet(X1,join(X1,X1)) = meet(X1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_57]),c_0_37]) ).
cnf(c_0_63,plain,
join(X1,join(X2,join(X1,X1))) = join(X2,join(X1,X1)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_60]) ).
cnf(c_0_65,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64]),c_0_64]) ).
cnf(c_0_66,plain,
join(X1,meet(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_44]),c_0_23]) ).
cnf(c_0_67,plain,
join(X1,join(meet(X1,X2),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_66]) ).
cnf(c_0_68,plain,
join(complement(X1),meet(X2,X1)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_67,c_0_44]) ).
cnf(c_0_69,plain,
meet(X1,composition(join(one,one),X1)) = meet(X1,X1),
inference(spm,[status(thm)],[c_0_62,c_0_30]) ).
cnf(c_0_70,plain,
join(meet(X1,X1),complement(X1)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_64]),c_0_25]),c_0_23]),c_0_64]),c_0_25]),c_0_23]) ).
cnf(c_0_71,plain,
complement(join(X1,complement(X1))) = meet(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_70]),c_0_30]),c_0_64]),c_0_25]),c_0_39]) ).
cnf(c_0_72,plain,
join(meet(X1,X2),meet(X2,complement(X1))) = X2,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_73,plain,
join(X1,meet(meet(X1,X2),X3)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_66]) ).
cnf(c_0_74,plain,
meet(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_35,c_0_71]),c_0_37]),c_0_37]),c_0_39]),c_0_72]) ).
cnf(c_0_75,plain,
complement(join(meet(X1,X2),meet(X3,X3))) = meet(join(complement(X1),complement(X2)),complement(X3)),
inference(spm,[status(thm)],[c_0_51,c_0_37]) ).
cnf(c_0_76,plain,
join(X1,meet(meet(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_73,c_0_39]) ).
cnf(c_0_77,plain,
meet(X1,join(X1,complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_70]),c_0_74]) ).
cnf(c_0_78,plain,
join(complement(X1),meet(X1,X2)) = join(complement(X1),X2),
inference(spm,[status(thm)],[c_0_68,c_0_39]) ).
cnf(c_0_79,plain,
complement(join(X1,X2)) = meet(complement(X1),complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_74]),c_0_74]),c_0_30]),c_0_64]),c_0_25]) ).
cnf(c_0_80,plain,
complement(meet(X1,X2)) = meet(join(complement(X1),complement(X2)),join(complement(X1),complement(X2))),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_81,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_82,plain,
join(X1,join(complement(X1),X2)) = join(X1,complement(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_28]),c_0_78]) ).
cnf(c_0_83,plain,
meet(X1,join(complement(X2),complement(X1))) = meet(X1,complement(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_68]),c_0_79]),c_0_37]),c_0_74]),c_0_37]),c_0_74]),c_0_80]),c_0_74]) ).
cnf(c_0_84,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_37,c_0_74]) ).
cnf(c_0_85,plain,
join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_28]),c_0_82]) ).
cnf(c_0_86,plain,
meet(X1,join(X2,complement(X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_87,plain,
join(X1,join(X2,meet(X1,X3))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_88,plain,
join(X1,complement(X1)) = join(X2,complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_85]),c_0_85]) ).
cnf(c_0_89,plain,
join(meet(X1,X2),join(complement(join(complement(X1),X2)),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_35]) ).
cnf(c_0_90,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_23]) ).
cnf(c_0_91,plain,
join(X1,join(X2,complement(X1))) = join(X1,complement(X1)),
inference(spm,[status(thm)],[c_0_82,c_0_87]) ).
cnf(c_0_92,plain,
meet(X1,join(X2,complement(X2))) = X1,
inference(spm,[status(thm)],[c_0_77,c_0_88]) ).
cnf(c_0_93,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_94,plain,
join(converse(X1),converse(meet(X1,X2))) = converse(X1),
inference(spm,[status(thm)],[c_0_47,c_0_66]) ).
cnf(c_0_95,plain,
join(X1,meet(X2,join(complement(X1),X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_68]),c_0_89]) ).
cnf(c_0_96,plain,
join(meet(X1,X2),meet(complement(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_41,c_0_39]) ).
cnf(c_0_97,plain,
join(meet(X1,complement(X2)),meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_72]) ).
cnf(c_0_98,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_37]),c_0_74]),c_0_23]),c_0_92]),c_0_37]),c_0_74]) ).
cnf(c_0_99,plain,
join(X1,composition(meet(one,X2),X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_66]),c_0_25]) ).
cnf(c_0_100,plain,
join(X1,converse(meet(converse(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_94,c_0_19]) ).
cnf(c_0_101,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_95]),c_0_90]),c_0_37]),c_0_74]) ).
cnf(c_0_102,plain,
meet(X1,join(meet(complement(X1),X2),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_67]),c_0_90]) ).
cnf(c_0_103,plain,
join(meet(X1,X2),join(meet(complement(X1),X2),X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_28,c_0_96]) ).
cnf(c_0_104,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_97]),c_0_23]) ).
cnf(c_0_105,plain,
meet(X1,composition(meet(one,X2),X1)) = composition(meet(one,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_39]) ).
cnf(c_0_106,plain,
join(X1,converse(meet(X2,converse(X1)))) = X1,
inference(spm,[status(thm)],[c_0_100,c_0_39]) ).
cnf(c_0_107,plain,
meet(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_101,c_0_41]) ).
cnf(c_0_108,plain,
meet(X1,join(meet(X1,X2),X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_37]),c_0_74]) ).
cnf(c_0_109,plain,
join(X1,join(X2,meet(X3,X1))) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_104]) ).
cnf(c_0_110,plain,
join(converse(X1),converse(meet(X1,X1))) = converse(X1),
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_111,plain,
join(X1,composition(X1,converse(meet(one,X2)))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_105]),c_0_16]),c_0_19]) ).
cnf(c_0_112,plain,
meet(X1,converse(meet(X2,converse(X1)))) = converse(meet(X2,converse(X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_106]),c_0_39]) ).
cnf(c_0_113,plain,
meet(meet(X1,X2),meet(X1,X3)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_107,c_0_39]) ).
cnf(c_0_114,plain,
meet(join(X1,X2),join(meet(X1,X3),X2)) = join(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_67]),c_0_39]) ).
cnf(c_0_115,plain,
meet(X1,join(X2,meet(X1,X3))) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_65]),c_0_109]) ).
cnf(c_0_116,plain,
join(one,converse(meet(one,one))) = one,
inference(spm,[status(thm)],[c_0_110,c_0_21]) ).
cnf(c_0_117,plain,
join(X1,composition(X1,meet(X2,one))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_21]),c_0_19]) ).
cnf(c_0_118,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_119,plain,
meet(meet(X1,X2),X3) = meet(meet(X1,X3),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_113]),c_0_113]) ).
cnf(c_0_120,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_72]) ).
cnf(c_0_121,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))) = composition(converse(X1),join(converse(X2),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_24]),c_0_16]),c_0_47]),c_0_16]),c_0_16]) ).
cnf(c_0_122,axiom,
join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)) = meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3),
modular_law_2_16 ).
cnf(c_0_123,plain,
join(meet(X1,X2),meet(X1,X3)) = meet(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_66]),c_0_115]),c_0_108]) ).
cnf(c_0_124,plain,
meet(complement(X1),join(X2,X1)) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_86,c_0_84]) ).
cnf(c_0_125,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_67,c_0_96]) ).
cnf(c_0_126,plain,
complement(meet(X1,X2)) = join(complement(X1),complement(X2)),
inference(rw,[status(thm)],[c_0_80,c_0_74]) ).
cnf(c_0_127,plain,
meet(X1,join(X1,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(spm,[status(thm)],[c_0_90,c_0_82]),c_0_37]),c_0_74]),c_0_23]),c_0_92]),c_0_37]),c_0_74]) ).
cnf(c_0_128,plain,
meet(X1,converse(meet(converse(X1),X2))) = converse(meet(converse(X1),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_100]),c_0_39]) ).
cnf(c_0_129,plain,
join(one,join(converse(meet(one,one)),X1)) = join(one,X1),
inference(spm,[status(thm)],[c_0_28,c_0_116]) ).
cnf(c_0_130,plain,
meet(X1,composition(X1,meet(X2,one))) = composition(X1,meet(X2,one)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_117]),c_0_39]) ).
cnf(c_0_131,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(spm,[status(thm)],[c_0_118,c_0_21]),c_0_25]),c_0_25]),c_0_99]),c_0_25]) ).
cnf(c_0_132,plain,
meet(meet(X1,X2),X3) = meet(X2,meet(X1,X3)),
inference(spm,[status(thm)],[c_0_39,c_0_119]) ).
cnf(c_0_133,plain,
meet(X1,meet(X2,X1)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_120]),c_0_90]),c_0_37]),c_0_74]) ).
cnf(c_0_134,plain,
join(composition(converse(X1),converse(X2)),composition(converse(X1),X3)) = composition(converse(X1),join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_121,c_0_19]) ).
cnf(c_0_135,plain,
join(meet(composition(X1,X2),X3),meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2))) = meet(X3,composition(meet(X1,composition(X3,converse(X2))),X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_39]),c_0_39]) ).
cnf(c_0_136,plain,
join(meet(X1,X2),meet(X2,X3)) = meet(X2,join(X1,X3)),
inference(spm,[status(thm)],[c_0_123,c_0_39]) ).
cnf(c_0_137,plain,
meet(join(X1,X2),join(X1,complement(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_37]),c_0_74]),c_0_126]),c_0_37]),c_0_74]),c_0_39]),c_0_39]),c_0_127]) ).
cnf(c_0_138,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_28,c_0_104]) ).
cnf(c_0_139,plain,
join(X1,composition(X1,meet(one,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_128]),c_0_21]),c_0_19]) ).
cnf(c_0_140,plain,
join(one,converse(meet(one,X1))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_94]),c_0_116]),c_0_74]) ).
cnf(c_0_141,plain,
meet(X1,meet(one,converse(X1))) = meet(X1,one),
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_130,c_0_131]),c_0_25]),c_0_132]),c_0_133]),c_0_39]),c_0_132]) ).
cnf(c_0_142,plain,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_104]),c_0_66]) ).
cnf(c_0_143,axiom,
composition(X1,composition(X2,X3)) = composition(composition(X1,X2),X3),
composition_associativity_5 ).
cnf(c_0_144,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_145,plain,
join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_134,c_0_19]) ).
cnf(c_0_146,plain,
meet(X1,composition(meet(X2,composition(X1,converse(X3))),X3)) = meet(X1,composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_136]),c_0_24]),c_0_66]) ).
cnf(c_0_147,plain,
meet(join(X1,X2),join(X2,complement(X1))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_87]),c_0_79]),c_0_126]),c_0_95]) ).
cnf(c_0_148,plain,
join(X1,composition(meet(X2,X1),meet(one,X3))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_104]) ).
cnf(c_0_149,plain,
meet(one,converse(meet(one,X1))) = converse(meet(one,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_140]),c_0_39]) ).
cnf(c_0_150,plain,
meet(one,converse(X1)) = meet(X1,one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_19]),c_0_39]),c_0_132]),c_0_141]),c_0_39]) ).
cnf(c_0_151,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_125]),c_0_90]),c_0_37]),c_0_74]) ).
cnf(c_0_152,plain,
join(meet(X1,X2),composition(meet(X1,X2),meet(one,composition(converse(X1),X2)))) = composition(meet(X1,X2),meet(one,composition(converse(X1),X2))),
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_17]),c_0_21]),c_0_17]),c_0_21]),c_0_17]) ).
cnf(c_0_153,plain,
meet(X1,meet(X2,meet(X1,X3))) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_142]),c_0_39]) ).
cnf(c_0_154,plain,
meet(X1,composition(X1,meet(one,X2))) = composition(X1,meet(one,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_139]),c_0_39]) ).
cnf(c_0_155,plain,
join(composition(X1,composition(X2,X3)),composition(X4,X3)) = composition(join(composition(X1,X2),X4),X3),
inference(spm,[status(thm)],[c_0_24,c_0_143]) ).
cnf(c_0_156,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
goals_17 ).
cnf(c_0_157,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_144,c_0_39]),c_0_39]) ).
cnf(c_0_158,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
inference(spm,[status(thm)],[c_0_145,c_0_19]) ).
cnf(c_0_159,plain,
meet(X1,composition(meet(X2,composition(X1,X3)),converse(X3))) = meet(X1,composition(X2,converse(X3))),
inference(spm,[status(thm)],[c_0_146,c_0_19]) ).
cnf(c_0_160,plain,
meet(X1,composition(meet(X2,X1),meet(one,X3))) = composition(meet(X2,X1),meet(one,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_86]) ).
cnf(c_0_161,plain,
converse(meet(one,X1)) = meet(one,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_39]),c_0_151]) ).
cnf(c_0_162,plain,
composition(meet(one,X1),meet(one,X1)) = meet(one,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_21]),c_0_25]),c_0_99]),c_0_25]) ).
cnf(c_0_163,plain,
meet(X1,meet(X2,composition(X1,meet(one,X3)))) = meet(X2,composition(X1,meet(one,X3))),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_164,plain,
join(X1,composition(X2,composition(X3,X1))) = composition(join(one,composition(X2,X3)),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_25]),c_0_23]),c_0_23]) ).
cnf(c_0_165,negated_conjecture,
join(one,composition(converse(sk1),sk1)) = one,
inference(rw,[status(thm)],[c_0_156,c_0_23]) ).
cnf(c_0_166,plain,
meet(meet(X1,X2),meet(X3,X2)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_101,c_0_96]) ).
cnf(c_0_167,plain,
meet(X1,composition(X2,meet(X3,composition(converse(X2),X1)))) = meet(X1,composition(X2,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_136]),c_0_158]),c_0_66]) ).
cnf(c_0_168,plain,
join(X1,composition(meet(one,X2),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_99]),c_0_104]) ).
cnf(c_0_169,plain,
meet(X1,composition(X2,meet(one,X3))) = composition(meet(X1,X2),meet(one,X3)),
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_159,c_0_160]),c_0_161]),c_0_143]),c_0_162]),c_0_154]),c_0_161]),c_0_132]),c_0_163]) ).
cnf(c_0_170,negated_conjecture,
join(X1,composition(converse(sk1),composition(sk1,X1))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_25]) ).
cnf(c_0_171,plain,
join(meet(composition(X1,converse(X2)),X3),composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3)))) = composition(meet(X1,composition(X3,X2)),meet(converse(X2),composition(converse(X1),X3))),
inference(spm,[status(thm)],[c_0_118,c_0_19]) ).
cnf(c_0_172,negated_conjecture,
meet(one,composition(converse(sk1),sk1)) = composition(converse(sk1),sk1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_165]),c_0_39]) ).
cnf(c_0_173,plain,
meet(meet(X1,X2),meet(X2,X3)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_166,c_0_39]) ).
cnf(c_0_174,plain,
meet(X1,composition(converse(X2),meet(X3,composition(X2,X1)))) = meet(X1,composition(converse(X2),X3)),
inference(spm,[status(thm)],[c_0_167,c_0_19]) ).
cnf(c_0_175,plain,
meet(X1,composition(meet(one,X2),meet(X3,X1))) = composition(meet(one,X2),meet(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_168]),c_0_86]) ).
cnf(c_0_176,plain,
composition(meet(one,X1),composition(meet(one,X1),X2)) = composition(meet(one,X1),X2),
inference(spm,[status(thm)],[c_0_143,c_0_162]) ).
cnf(c_0_177,plain,
meet(X1,meet(X2,composition(meet(one,X3),X1))) = meet(X2,composition(meet(one,X3),X1)),
inference(spm,[status(thm)],[c_0_153,c_0_105]) ).
cnf(c_0_178,plain,
meet(X1,meet(one,X2)) = composition(meet(X1,one),meet(one,X2)),
inference(spm,[status(thm)],[c_0_169,c_0_25]) ).
cnf(c_0_179,negated_conjecture,
meet(X1,composition(converse(sk1),composition(sk1,X1))) = composition(converse(sk1),composition(sk1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_170]),c_0_39]) ).
cnf(c_0_180,negated_conjecture,
composition(converse(sk1),composition(sk1,converse(sk1))) = converse(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_25]),c_0_74]),c_0_21]),c_0_25]),c_0_74]),c_0_143]),c_0_170]),c_0_21]),c_0_25]),c_0_74]),c_0_143]) ).
cnf(c_0_181,plain,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_132]),c_0_132]),c_0_153]) ).
cnf(c_0_182,plain,
meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_124,c_0_23]) ).
cnf(c_0_183,plain,
meet(X1,composition(meet(one,X2),X3)) = composition(meet(one,X2),meet(X1,X3)),
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_174,c_0_175]),c_0_161]),c_0_176]),c_0_105]),c_0_161]),c_0_132]),c_0_177]) ).
cnf(c_0_184,negated_conjecture,
meet(X1,composition(converse(sk1),sk1)) = composition(meet(X1,one),composition(converse(sk1),sk1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_17]),c_0_17]) ).
cnf(c_0_185,negated_conjecture,
composition(sk1,composition(converse(sk1),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_16,c_0_180]),c_0_19]),c_0_16]),c_0_19]),c_0_19]),c_0_143]) ).
cnf(c_0_186,plain,
join(X1,meet(X2,meet(complement(X1),X3))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_125,c_0_181]) ).
cnf(c_0_187,plain,
meet(join(X1,X2),meet(complement(X1),X3)) = meet(X2,meet(complement(X1),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_182]),c_0_132]) ).
cnf(c_0_188,negated_conjecture,
meet(X1,composition(converse(sk1),composition(sk1,X2))) = composition(converse(sk1),composition(sk1,meet(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_183,c_0_184]),c_0_74]),c_0_25]),c_0_143]),c_0_74]),c_0_25]),c_0_143]) ).
cnf(c_0_189,negated_conjecture,
composition(sk1,composition(converse(sk1),composition(sk1,X1))) = composition(sk1,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_185]),c_0_143]) ).
cnf(c_0_190,negated_conjecture,
( join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != meet(composition(sk1,sk2),composition(sk1,sk3))
| join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)) ),
goals_18 ).
cnf(c_0_191,plain,
join(X1,meet(join(X1,X2),X3)) = join(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_186]) ).
cnf(c_0_192,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,meet(X2,X1))) = meet(composition(sk1,X1),composition(sk1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_188]),c_0_19]),c_0_189]),c_0_19]) ).
cnf(c_0_193,negated_conjecture,
( join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != meet(composition(sk1,sk2),composition(sk1,sk3))
| join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))) != composition(sk1,meet(sk2,sk3)) ),
inference(rw,[status(thm)],[c_0_190,c_0_23]) ).
cnf(c_0_194,plain,
join(X1,meet(X2,X3)) = meet(join(X1,X2),join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_127]),c_0_191]) ).
cnf(c_0_195,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,meet(X1,X2))) = composition(sk1,meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_151]),c_0_74]),c_0_39]) ).
cnf(c_0_196,negated_conjecture,
meet(composition(sk1,sk2),composition(sk1,sk3)) != composition(sk1,meet(sk2,sk3)),
inference(cn,[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(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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194]),c_0_158]),c_0_23]),c_0_194]),c_0_64]),c_0_127]),c_0_158]),c_0_23]),c_0_194]),c_0_23]),c_0_64]),c_0_39]),c_0_98]),c_0_194]),c_0_158]),c_0_23]),c_0_194]),c_0_64]),c_0_127]),c_0_158]),c_0_23]),c_0_194]),c_0_23]),c_0_64]),c_0_39]),c_0_98])]) ).
cnf(c_0_197,negated_conjecture,
meet(composition(sk1,X1),composition(sk1,X2)) = composition(sk1,meet(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_39]),c_0_195]) ).
cnf(c_0_198,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_197])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : REL040-4 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.15/0.37 % Computer : n003.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 2400
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Oct 2 15:20:48 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.52 Running first-order theorem proving
% 0.22/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ZXdYJHicic/E---3.1_3107.p
% 769.36/97.54 # Version: 3.1pre001
% 769.36/97.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 769.36/97.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 769.36/97.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 769.36/97.54 # Starting new_bool_3 with 300s (1) cores
% 769.36/97.54 # Starting new_bool_1 with 300s (1) cores
% 769.36/97.54 # Starting sh5l with 300s (1) cores
% 769.36/97.54 # new_bool_3 with pid 3186 completed with status 0
% 769.36/97.54 # Result found by new_bool_3
% 769.36/97.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 769.36/97.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 769.36/97.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 769.36/97.54 # Starting new_bool_3 with 300s (1) cores
% 769.36/97.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 769.36/97.54 # Search class: FUHPM-FFMF21-DFFFFFNN
% 769.36/97.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 769.36/97.54 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 769.36/97.54 # H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with pid 3189 completed with status 0
% 769.36/97.54 # Result found by H----_047_B31_F1_PI_AE_R4_CS_SP_S2S
% 769.36/97.54 # Preprocessing class: FSMSSMSSSSSNFFN.
% 769.36/97.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 769.36/97.54 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 769.36/97.54 # Starting new_bool_3 with 300s (1) cores
% 769.36/97.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 769.36/97.54 # Search class: FUHPM-FFMF21-DFFFFFNN
% 769.36/97.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 769.36/97.54 # Starting H----_047_B31_F1_PI_AE_R4_CS_SP_S2S with 181s (1) cores
% 769.36/97.54 # Preprocessing time : 0.001 s
% 769.36/97.54
% 769.36/97.54 # Proof found!
% 769.36/97.54 # SZS status Unsatisfiable
% 769.36/97.54 # SZS output start CNFRefutation
% See solution above
% 769.36/97.55 # Parsed axioms : 18
% 769.36/97.55 # Removed by relevancy pruning/SinE : 2
% 769.36/97.55 # Initial clauses : 16
% 769.36/97.55 # Removed in clause preprocessing : 0
% 769.36/97.55 # Initial clauses in saturation : 16
% 769.36/97.55 # Processed clauses : 81688
% 769.36/97.55 # ...of these trivial : 30646
% 769.36/97.55 # ...subsumed : 47248
% 769.36/97.55 # ...remaining for further processing : 3794
% 769.36/97.55 # Other redundant clauses eliminated : 0
% 769.36/97.55 # Clauses deleted for lack of memory : 339365
% 769.36/97.55 # Backward-subsumed : 15
% 769.36/97.55 # Backward-rewritten : 1049
% 769.36/97.55 # Generated clauses : 3710004
% 769.36/97.55 # ...of the previous two non-redundant : 2893305
% 769.36/97.55 # ...aggressively subsumed : 0
% 769.36/97.55 # Contextual simplify-reflections : 0
% 769.36/97.55 # Paramodulations : 3710004
% 769.36/97.55 # Factorizations : 0
% 769.36/97.55 # NegExts : 0
% 769.36/97.55 # Equation resolutions : 0
% 769.36/97.55 # Total rewrite steps : 16172481
% 769.36/97.55 # Propositional unsat checks : 0
% 769.36/97.55 # Propositional check models : 0
% 769.36/97.55 # Propositional check unsatisfiable : 0
% 769.36/97.55 # Propositional clauses : 0
% 769.36/97.55 # Propositional clauses after purity: 0
% 769.36/97.55 # Propositional unsat core size : 0
% 769.36/97.55 # Propositional preprocessing time : 0.000
% 769.36/97.55 # Propositional encoding time : 0.000
% 769.36/97.55 # Propositional solver time : 0.000
% 769.36/97.55 # Success case prop preproc time : 0.000
% 769.36/97.55 # Success case prop encoding time : 0.000
% 769.36/97.55 # Success case prop solver time : 0.000
% 769.36/97.55 # Current number of processed clauses : 2730
% 769.36/97.55 # Positive orientable unit clauses : 2362
% 769.36/97.55 # Positive unorientable unit clauses: 368
% 769.36/97.55 # Negative unit clauses : 0
% 769.36/97.55 # Non-unit-clauses : 0
% 769.36/97.55 # Current number of unprocessed clauses: 1277256
% 769.36/97.55 # ...number of literals in the above : 1277256
% 769.36/97.55 # Current number of archived formulas : 0
% 769.36/97.55 # Current number of archived clauses : 1064
% 769.36/97.55 # Clause-clause subsumption calls (NU) : 0
% 769.36/97.55 # Rec. Clause-clause subsumption calls : 0
% 769.36/97.55 # Non-unit clause-clause subsumptions : 0
% 769.36/97.55 # Unit Clause-clause subsumption calls : 8183
% 769.36/97.55 # Rewrite failures with RHS unbound : 13586
% 769.36/97.55 # BW rewrite match attempts : 100636
% 769.36/97.55 # BW rewrite match successes : 14952
% 769.36/97.55 # Condensation attempts : 0
% 769.36/97.55 # Condensation successes : 0
% 769.36/97.55 # Termbank termtop insertions : 92288383
% 769.36/97.55
% 769.36/97.55 # -------------------------------------------------
% 769.36/97.55 # User time : 94.345 s
% 769.36/97.55 # System time : 1.718 s
% 769.36/97.55 # Total time : 96.064 s
% 769.36/97.55 # Maximum resident set size: 1656 pages
% 769.36/97.55
% 769.36/97.55 # -------------------------------------------------
% 769.36/97.55 # User time : 94.348 s
% 769.36/97.55 # System time : 1.723 s
% 769.36/97.55 # Total time : 96.070 s
% 769.36/97.55 # Maximum resident set size: 1728 pages
% 769.36/97.55 % E---3.1 exiting
% 769.36/97.55 % E---3.1 exiting
%------------------------------------------------------------------------------