TSTP Solution File: LAT009-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue Jul 26 07:05:23 EDT 2022
% Result : Unsatisfiable 42.67s 42.88s
% Output : CNFRefutation 42.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of clauses : 108 ( 108 unt; 0 nHn; 9 RR)
% Number of literals : 108 ( 107 equ; 8 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 241 ( 42 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_3677') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_3677') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_3677') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_3677') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_3677') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_3677') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_3677') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_3677') ).
cnf(eq_8,axiom,
meet(join(meet(join(X,Y),Z),Y),join(Z,X)) = join(meet(join(meet(X,Y),Z),Y),meet(Z,X)),
file('/tmp/MaedMax_3677') ).
cnf(eq_9,negated_conjecture,
meet(join(a,b),join(a,c)) != join(a,meet(b,c)),
file('/tmp/MaedMax_3677') ).
cnf(eq_10,plain,
meet(X,join(Y,join(X,Z))) = X,
inference(cp,[status(thm)],[eq_29,eq_2]) ).
cnf(eq_11,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_12,plain,
meet(X,x102) = meet(X,meet(join(X,Y),x102)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_13,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_14,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_15,plain,
meet(join(meet(join(Y,X),x102),Y),join(x102,X)) = join(meet(join(meet(X,Y),x102),Y),meet(x102,X)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_16,plain,
meet(join(meet(join(Y,x101),X),x101),join(Y,X)) = join(meet(join(meet(Y,x101),X),x101),meet(X,Y)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_17,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_18,plain,
join(X,meet(Y,meet(X,Z))) = X,
inference(cp,[status(thm)],[eq_36,eq_3]) ).
cnf(eq_19,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_20,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_21,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_22,plain,
meet(Y,meet(X,Z)) = meet(meet(Y,Z),X),
inference(cp,[status(thm)],[eq_36,eq_4]) ).
cnf(eq_23,plain,
join(x100,X) = join(X,join(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_29]) ).
cnf(eq_24,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_29]) ).
cnf(eq_25,plain,
meet(X,meet(Y,Z)) = meet(X,meet(Z,Y)),
inference(rw,[status(thm)],[eq_22,eq_6]) ).
cnf(eq_26,plain,
meet(X,Y) = meet(X,meet(join(X,Z),Y)),
eq_12 ).
cnf(eq_27,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_21 ).
cnf(eq_28,plain,
join(X,Y) = join(X,join(X,Y)),
eq_20 ).
cnf(eq_29,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_19,eq_7]) ).
cnf(eq_30,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_14 ).
cnf(eq_31,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_24 ).
cnf(eq_32,plain,
meet(join(X,Y),join(Z,meet(join(X,Z),Y))) = join(meet(Z,join(meet(X,Z),Y)),meet(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_5]),eq_4]),eq_4]) ).
cnf(eq_33,plain,
meet(join(X,Y),join(Z,meet(join(Z,Y),X))) = join(meet(Z,join(meet(Y,Z),X)),meet(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_5]),eq_4]),eq_4]) ).
cnf(eq_34,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_23 ).
cnf(eq_35,plain,
X = join(X,meet(Y,X)),
eq_17 ).
cnf(eq_36,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_37,plain,
meet(join(X,meet(join(Y,X),Z)),join(Z,Y)) = join(meet(Z,Y),meet(X,join(meet(Y,X),Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_5]),eq_4]),eq_5]) ).
cnf(eq_38,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_39,plain,
join(meet(join(Y,meet(x100,x101)),x101),meet(Y,x100)) = meet(join(meet(join(x100,x101),Y),x101),join(Y,x100)),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_40,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_4,eq_30]) ).
cnf(eq_41,plain,
meet(X,meet(Y,join(x101,meet(X,Y)))) = meet(X,Y),
inference(cp,[status(thm)],[eq_6,eq_11]) ).
cnf(eq_42,plain,
meet(join(Y,Z),join(Y,join(X,Z))) = join(Y,Z),
inference(cp,[status(thm)],[eq_29,eq_11]) ).
cnf(eq_43,plain,
join(X,Y) = join(join(meet(X,Z),Y),X),
inference(cp,[status(thm)],[eq_27,eq_5]) ).
cnf(eq_44,plain,
join(Y,join(X,meet(Y,Z))) = join(Y,X),
inference(cp,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_45,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_5,eq_28]) ).
cnf(eq_46,plain,
join(x100,join(X,Y)) = join(Y,join(x100,join(X,Y))),
inference(cp,[status(thm)],[eq_34,eq_29]) ).
cnf(eq_47,plain,
join(x100,X) = join(X,join(x100,meet(Y,X))),
inference(cp,[status(thm)],[eq_35,eq_29]) ).
cnf(eq_48,plain,
join(Y,join(meet(X,Y),x102)) = join(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_27]) ).
cnf(eq_49,plain,
join(X,join(Y,Z)) = join(Z,join(X,join(Y,Z))),
eq_46 ).
cnf(eq_50,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_48 ).
cnf(eq_51,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_40 ).
cnf(eq_52,plain,
meet(X,Y) = meet(X,meet(Y,join(Z,meet(X,Y)))),
eq_41 ).
cnf(eq_53,plain,
meet(join(X,meet(join(Y,X),Z)),join(Z,Y)) = join(meet(Z,Y),meet(X,join(Z,meet(Y,X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_39,eq_4]),eq_5]),eq_5]) ).
cnf(eq_54,plain,
join(X,Y) = join(X,join(Y,meet(X,Z))),
eq_44 ).
cnf(eq_55,plain,
join(X,Y) = join(meet(X,Z),join(Y,X)),
inference(rw,[status(thm)],[eq_43,eq_7]) ).
cnf(eq_56,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_38 ).
cnf(eq_57,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_47 ).
cnf(eq_58,plain,
meet(join(X,Y),join(X,join(Z,Y))) = join(X,Y),
eq_42 ).
cnf(eq_59,plain,
meet(meet(join(Y,x101),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_26]) ).
cnf(eq_60,plain,
meet(join(Y,X),join(X,Y)) = join(Y,X),
inference(cp,[status(thm)],[eq_45,eq_11]) ).
cnf(eq_61,plain,
meet(join(meet(join(join(Y,X),x101),X),x101),join(X,Y)) = join(meet(join(meet(join(Y,X),x101),X),x101),meet(X,join(Y,X))),
inference(cp,[status(thm)],[eq_45,eq_8]) ).
cnf(eq_62,plain,
meet(join(meet(join(meet(Y,X),x101),X),x101),X) = join(meet(join(meet(meet(Y,X),x101),X),x101),meet(X,meet(Y,X))),
inference(cp,[status(thm)],[eq_35,eq_8]) ).
cnf(eq_63,plain,
meet(join(X,Y),join(Y,X)) = join(X,Y),
eq_60 ).
cnf(eq_64,plain,
meet(X,Y) = meet(join(X,Z),meet(Y,X)),
inference(rw,[status(thm)],[eq_59,eq_6]) ).
cnf(eq_65,plain,
meet(X,join(Y,meet(X,join(meet(Z,X),Y)))) = join(meet(X,Y),meet(X,Z)),
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)],[eq_62,eq_4]),eq_5]),eq_4]),eq_6]),eq_51]),eq_5]),eq_18]) ).
cnf(eq_66,plain,
meet(join(X,Y),join(X,Z)) = join(X,meet(Y,join(X,meet(join(Z,X),Y)))),
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)],[eq_61,eq_7]),eq_4]),eq_10]),eq_5]),eq_11]),eq_4]),eq_5]) ).
cnf(eq_67,plain,
meet(join(X,meet(Z,Y)),join(X,Y)) = join(X,meet(Z,Y)),
inference(cp,[status(thm)],[eq_57,eq_11]) ).
cnf(eq_68,plain,
meet(x100,join(X,Y)) = meet(x100,meet(join(Y,X),join(X,Y))),
inference(cp,[status(thm)],[eq_63,eq_25]) ).
cnf(eq_69,plain,
meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_56]) ).
cnf(eq_70,plain,
meet(join(X,Y),join(X,meet(Z,Y))) = join(X,meet(Z,Y)),
inference(rw,[status(thm)],[eq_67,eq_4]) ).
cnf(eq_71,plain,
meet(X,Y) = meet(join(Z,X),meet(Y,X)),
inference(rw,[status(thm)],[eq_69,eq_6]) ).
cnf(eq_72,plain,
meet(join(join(Y,X),x101),join(X,Y)) = meet(join(Y,X),join(X,Y)),
inference(cp,[status(thm)],[eq_63,eq_64]) ).
cnf(eq_73,plain,
meet(join(X,join(Y,Z)),join(Y,X)) = join(X,Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_72,eq_7]),eq_63]) ).
cnf(eq_74,plain,
meet(X,join(Y,Z)) = meet(X,join(Z,Y)),
inference(rw,[status(thm)],[eq_68,eq_63]) ).
cnf(eq_75,plain,
meet(join(Z,join(x100,x101)),meet(join(x101,x100),join(x100,x101))) = join(x100,x101),
inference(cp,[status(thm)],[eq_71,eq_63]) ).
cnf(eq_76,plain,
meet(X,join(Y,Z)) = meet(join(Z,Y),X),
inference(cp,[status(thm)],[eq_74,eq_4]) ).
cnf(eq_77,plain,
meet(join(X,join(Y,Z)),join(Z,Y)) = join(Y,Z),
inference(rw,[status(thm)],[eq_75,eq_63]) ).
cnf(eq_78,plain,
join(X,Y) = meet(join(X,join(Z,Y)),join(Y,X)),
inference(cp,[status(thm)],[eq_58,eq_76]) ).
cnf(eq_79,plain,
meet(join(X,join(Y,Z)),join(Z,X)) = join(X,Z),
eq_78 ).
cnf(eq_80,plain,
meet(join(X,x101),join(meet(x102,x101),X)) = join(X,meet(x102,x101)),
inference(cp,[status(thm)],[eq_5,eq_70]) ).
cnf(eq_81,plain,
meet(join(X,Y),join(meet(Z,Y),X)) = join(X,meet(Z,Y)),
eq_80 ).
cnf(eq_82,plain,
join(meet(Z,join(X,Y)),meet(join(Y,X),X)) = meet(join(join(Y,X),X),join(Z,meet(join(Z,X),join(Y,X)))),
inference(cp,[status(thm)],[eq_55,eq_33]) ).
cnf(eq_83,plain,
meet(join(join(Y,Z),join(X,Z)),join(join(Z,X),X)) = join(meet(join(Z,X),X),meet(join(Y,Z),join(meet(X,join(Y,Z)),join(Z,X)))),
inference(cp,[status(thm)],[eq_79,eq_37]) ).
cnf(eq_84,plain,
meet(join(join(Y,Z),join(X,Y)),join(join(Y,X),X)) = join(meet(join(Y,X),X),meet(join(Y,Z),join(meet(X,join(Y,Z)),join(Y,X)))),
inference(cp,[status(thm)],[eq_73,eq_37]) ).
cnf(eq_85,plain,
join(X,Y) = join(Y,meet(join(Z,X),join(Y,X))),
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)],[eq_83,eq_7]),eq_7]),eq_45]),eq_1]),eq_4]),eq_11]),eq_4]),eq_55]),eq_11]) ).
cnf(eq_86,plain,
join(X,Y) = join(X,meet(join(Y,Z),join(X,Y))),
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)],[eq_84,eq_7]),eq_7]),eq_49]),eq_1]),eq_77]),eq_4]),eq_55]),eq_11]) ).
cnf(eq_87,plain,
join(x100,meet(join(x100,Z),join(Y,Z))) = join(x100,Z),
inference(cp,[status(thm)],[eq_76,eq_86]) ).
cnf(eq_88,plain,
join(X,meet(join(x101,Y),join(Y,X))) = join(Y,X),
inference(cp,[status(thm)],[eq_5,eq_85]) ).
cnf(eq_89,plain,
join(X,Y) = join(Y,meet(join(Z,X),join(X,Y))),
eq_88 ).
cnf(eq_90,plain,
join(X,Y) = join(X,meet(join(X,Y),join(Z,Y))),
eq_87 ).
cnf(eq_91,plain,
join(x100,meet(join(Y,x100),join(Y,Z))) = join(Y,x100),
inference(cp,[status(thm)],[eq_76,eq_89]) ).
cnf(eq_92,plain,
join(X,Y) = join(Y,meet(join(X,Y),join(X,Z))),
eq_91 ).
cnf(eq_93,plain,
meet(join(Y,X),join(x101,meet(join(Y,X),join(X,x101)))) = join(meet(join(Y,X),x101),meet(join(Y,X),X)),
inference(cp,[status(thm)],[eq_11,eq_65]) ).
cnf(eq_94,plain,
meet(join(X,Y),join(join(X,Z),X)) = join(meet(join(X,Z),X),meet(Y,join(join(X,Z),meet(X,Y)))),
inference(cp,[status(thm)],[eq_92,eq_53]) ).
cnf(eq_95,plain,
meet(join(X,Y),join(X,Z)) = join(X,meet(Y,join(X,Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_94,eq_7]),eq_45]),eq_4]),eq_7]),eq_2]),eq_54]) ).
cnf(eq_96,plain,
meet(join(X,Y),join(Z,Y)) = join(Y,meet(Z,join(Y,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_82,eq_4]),eq_11]),eq_5]),eq_7]),eq_90]),eq_1]) ).
cnf(eq_97,plain,
meet(join(X,Y),join(Y,Z)) = join(Y,meet(join(X,Y),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_93,eq_89]),eq_4]),eq_11]),eq_5]) ).
cnf(eq_98,negated_conjecture,
join(a,meet(b,join(a,meet(join(c,a),b)))) != join(a,meet(b,c)),
inference(cp,[status(thm)],[eq_66,eq_9]) ).
cnf(eq_99,negated_conjecture,
join(a,meet(b,join(a,meet(b,join(a,c))))) != join(a,meet(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_98,eq_5]),eq_4]) ).
cnf(eq_100,negated_conjecture,
join(a,meet(b,meet(join(a,join(a,c)),join(meet(b,join(a,c)),a)))) != join(a,meet(b,c)),
inference(cp,[status(thm)],[eq_81,eq_99]) ).
cnf(eq_101,negated_conjecture,
join(a,meet(b,join(a,c))) != join(a,meet(b,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_100,eq_28]),eq_5]),eq_52]) ).
cnf(eq_102,plain,
meet(join(join(Y,X),x101),meet(join(X,Y),join(join(Y,x101),Y))) = join(meet(Y,join(meet(x101,Y),join(Y,X))),meet(join(Y,X),x101)),
inference(cp,[status(thm)],[eq_96,eq_33]) ).
cnf(eq_103,negated_conjecture,
join(a,meet(join(a,c),b)) != join(a,meet(c,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_4]),eq_4]) ).
cnf(eq_104,plain,
join(X,meet(Y,Z)) = join(X,meet(join(X,Z),Y)),
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)],[eq_102,eq_7]),eq_7]),eq_45]),eq_97]),eq_95]),eq_32]),eq_27]),eq_29]),eq_50]),eq_2]) ).
cnf(eq_105,negated_conjecture,
join(a,meet(b,c)) != join(a,meet(c,b)),
inference(cp,[status(thm)],[eq_104,eq_103]) ).
cnf(eq_106,negated_conjecture,
join(a,meet(b,c)) != join(a,meet(b,c)),
inference(rw,[status(thm)],[eq_105,eq_4]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT009-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 05:02:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 42.67/42.88 % SZS status Unsatisfiable
% 42.67/42.88 % SZS output start CNFRefutation for /tmp/MaedMax_3677
% See solution above
% 42.67/42.88
%------------------------------------------------------------------------------