%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT007-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n007.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 14.59s 14.78s
% Output : CNFRefutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of clauses : 91 ( 91 unt; 0 nHn; 7 RR)
% Number of literals : 91 ( 90 equ; 6 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 194 ( 30 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_7119') ).
cnf(eq_1,axiom,
join(meet(X,Y),meet(Z,Y)) = meet(Y,join(Z,X)),
file('/tmp/MaedMax_7119') ).
cnf(eq_2,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/tmp/MaedMax_7119') ).
cnf(eq_3,plain,
join(X,meet(x102,join(X,Y))) = meet(join(X,Y),join(x102,X)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
join(meet(x100,join(X,Y)),X) = meet(join(X,Y),join(X,x100)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
meet(meet(X,Y),meet(Y,join(Z,X))) = meet(X,Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
join(meet(X,join(Y,Z)),Y) = meet(join(Y,Z),join(Y,X)),
eq_4 ).
cnf(eq_7,plain,
join(X,meet(Y,join(X,Z))) = meet(join(X,Z),join(Y,X)),
eq_3 ).
cnf(eq_8,plain,
join(X,X) = meet(join(X,Y),join(X,X)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_9,plain,
X = join(meet(Y,X),meet(X,X)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_10,plain,
join(Y,x101) = join(Y,meet(join(Y,x101),join(Y,x101))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_11,plain,
meet(meet(Y,X),X) = meet(Y,X),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_12,plain,
meet(meet(meet(Z,Y),x101),meet(x101,meet(Y,join(Z,X)))) = meet(meet(Z,Y),x101),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_13,plain,
meet(meet(X,Y),Z) = meet(meet(meet(X,Y),Z),meet(Z,meet(Y,join(X,x3)))),
eq_12 ).
cnf(eq_14,plain,
meet(X,Y) = meet(meet(X,Y),Y),
eq_11 ).
cnf(eq_15,plain,
join(X,Y) = join(X,meet(join(X,Y),join(X,Y))),
eq_10 ).
cnf(eq_16,plain,
join(X,Y) = join(X,join(meet(Y,join(X,Y)),X)),
inference(rw,[status(thm)],[eq_15,eq_6]) ).
cnf(eq_17,plain,
join(meet(X,Y),meet(x102,Y)) = meet(Y,join(x102,meet(X,Y))),
inference(cp,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_18,plain,
join(meet(x100,Y),meet(X,Y)) = meet(Y,join(meet(X,Y),x100)),
inference(cp,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_19,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),Z)),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_20,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(Z,X))),
inference(rw,[status(thm)],[eq_17,eq_1]) ).
cnf(eq_21,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),meet(Z,X))),
inference(cp,[status(thm)],[eq_19,eq_20]) ).
cnf(eq_22,plain,
meet(Y,meet(Y,join(Z,X))) = meet(Y,join(X,meet(Z,Y))),
inference(cp,[status(thm)],[eq_1,eq_19]) ).
cnf(eq_23,plain,
meet(join(X,X),join(join(X,X),x102)) = meet(join(X,X),join(join(X,Y),x102)),
inference(cp,[status(thm)],[eq_8,eq_19]) ).
cnf(eq_24,plain,
meet(meet(meet(X,X),x102),meet(x102,X)) = meet(meet(X,X),x102),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_25,plain,
meet(X,join(Y,Z)) = meet(X,meet(X,join(Z,Y))),
inference(rw,[status(thm)],[eq_21,eq_1]) ).
cnf(eq_26,plain,
meet(meet(X,X),Y) = meet(meet(meet(X,X),Y),meet(Y,X)),
eq_24 ).
cnf(eq_27,plain,
join(X,X) = meet(join(X,X),join(join(X,Y),Z)),
inference(rw,[status(thm)],[eq_23,eq_0]) ).
cnf(eq_28,plain,
meet(X,join(Y,meet(Z,X))) = meet(X,meet(X,join(Z,Y))),
eq_22 ).
cnf(eq_29,plain,
meet(X,X) = meet(X,join(Y,X)),
inference(cp,[status(thm)],[eq_0,eq_25]) ).
cnf(eq_30,plain,
meet(meet(x100,x100),meet(join(meet(x100,x100),Y),x100)) = meet(meet(x100,x100),join(meet(x100,x100),Y)),
inference(cp,[status(thm)],[eq_0,eq_26]) ).
cnf(eq_31,plain,
meet(X,X) = meet(meet(X,X),meet(join(meet(X,X),Y),X)),
inference(rw,[status(thm)],[eq_30,eq_0]) ).
cnf(eq_32,plain,
meet(Y,Y) = Y,
inference(cp,[status(thm)],[eq_29,eq_0]) ).
cnf(eq_33,plain,
meet(join(Y,x101),join(Y,x101)) = join(meet(join(Y,x101),join(Y,x101)),Y),
inference(cp,[status(thm)],[eq_29,eq_6]) ).
cnf(eq_34,plain,
X = meet(X,X),
eq_32 ).
cnf(eq_35,plain,
meet(X,join(Y,X)) = X,
inference(rw,[status(thm)],[eq_29,eq_34]) ).
cnf(eq_36,plain,
join(X,Y) = join(X,join(Y,X)),
inference(rw,[status(thm)],[eq_16,eq_35]) ).
cnf(eq_37,plain,
X = meet(X,meet(join(X,Y),X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_34]),eq_34]),eq_34]) ).
cnf(eq_38,plain,
X = join(meet(Y,X),X),
inference(rw,[status(thm)],[eq_9,eq_34]) ).
cnf(eq_39,plain,
join(X,meet(x102,X)) = meet(X,join(x102,X)),
inference(cp,[status(thm)],[eq_34,eq_1]) ).
cnf(eq_40,plain,
join(meet(X,join(Y,X)),Y) = join(Y,X),
inference(cp,[status(thm)],[eq_6,eq_34]) ).
cnf(eq_41,plain,
join(X,Y) = join(Y,X),
inference(rw,[status(thm)],[eq_40,eq_35]) ).
cnf(eq_42,plain,
join(X,Y) = join(join(X,Y),Y),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_6]),eq_35]),eq_6]),eq_35]) ).
cnf(eq_43,plain,
X = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_39,eq_35]) ).
cnf(eq_44,plain,
meet(x100,meet(x100,X)) = meet(x100,join(meet(Y,X),meet(X,x100))),
inference(cp,[status(thm)],[eq_43,eq_28]) ).
cnf(eq_45,plain,
join(X,join(X,Y)) = join(X,Y),
inference(cp,[status(thm)],[eq_41,eq_36]) ).
cnf(eq_46,plain,
join(X,X) = X,
inference(cp,[status(thm)],[eq_34,eq_43]) ).
cnf(eq_47,plain,
join(join(X,Y),X) = join(Y,X),
inference(cp,[status(thm)],[eq_41,eq_42]) ).
cnf(eq_48,plain,
meet(Y,meet(join(X,Y),Y)) = Y,
inference(cp,[status(thm)],[eq_41,eq_37]) ).
cnf(eq_49,plain,
meet(X,join(meet(Y,Z),Z)) = meet(X,meet(X,Z)),
inference(rw,[status(thm)],[eq_44,eq_20]) ).
cnf(eq_50,plain,
X = meet(X,meet(join(Y,X),X)),
eq_48 ).
cnf(eq_51,plain,
join(X,Y) = join(join(Y,X),Y),
eq_47 ).
cnf(eq_52,negated_conjecture,
join(join(b,c),a) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_41,eq_2]) ).
cnf(eq_53,plain,
X = meet(X,join(join(X,Y),Z)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_46]),eq_46]) ).
cnf(eq_54,plain,
meet(Y,join(Z,Z)) = meet(Z,Y),
inference(cp,[status(thm)],[eq_1,eq_46]) ).
cnf(eq_55,plain,
meet(X,Y) = meet(X,meet(X,Y)),
inference(rw,[status(thm)],[eq_49,eq_38]) ).
cnf(eq_56,plain,
meet(X,Y) = meet(Y,X),
inference(rw,[status(thm)],[eq_54,eq_46]) ).
cnf(eq_57,negated_conjecture,
join(join(c,b),a) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_41,eq_52]) ).
cnf(eq_58,plain,
join(meet(X,Y),meet(x102,meet(X,Y))) = meet(meet(X,Y),join(x102,X)),
inference(cp,[status(thm)],[eq_55,eq_1]) ).
cnf(eq_59,plain,
join(meet(Y,X),meet(x102,Y)) = meet(Y,join(x102,X)),
inference(cp,[status(thm)],[eq_56,eq_1]) ).
cnf(eq_60,plain,
join(X,meet(join(Y,X),X)) = meet(join(Y,X),X),
inference(cp,[status(thm)],[eq_50,eq_38]) ).
cnf(eq_61,plain,
meet(join(Y,X),join(join(X,Y),x102)) = join(Y,X),
inference(cp,[status(thm)],[eq_51,eq_53]) ).
cnf(eq_62,plain,
X = meet(join(Y,X),X),
inference(rw,[status(thm)],[eq_60,eq_43]) ).
cnf(eq_63,plain,
join(X,Y) = meet(join(X,Y),join(join(Y,X),Z)),
eq_61 ).
cnf(eq_64,plain,
meet(X,Y) = meet(meet(X,Y),join(Z,X)),
inference(rw,[status(thm)],[eq_58,eq_43]) ).
cnf(eq_65,plain,
join(meet(X,Y),meet(Z,X)) = meet(X,join(Z,Y)),
eq_59 ).
cnf(eq_66,plain,
meet(X,join(x101,X)) = meet(X,join(x101,join(Y,X))),
inference(cp,[status(thm)],[eq_62,eq_20]) ).
cnf(eq_67,plain,
X = meet(X,join(Y,join(Z,X))),
inference(rw,[status(thm)],[eq_66,eq_35]) ).
cnf(eq_68,plain,
join(join(X,Y),join(join(Y,X),Z)) = join(join(Y,X),Z),
inference(cp,[status(thm)],[eq_63,eq_38]) ).
cnf(eq_69,plain,
join(join(X,Y),Z) = join(join(Y,X),join(join(X,Y),Z)),
eq_68 ).
cnf(eq_70,plain,
join(meet(join(Y,X),x101),X) = meet(join(Y,X),join(X,x101)),
inference(cp,[status(thm)],[eq_35,eq_65]) ).
cnf(eq_71,plain,
join(meet(join(X,Y),Z),Y) = meet(join(X,Y),join(Y,Z)),
eq_70 ).
cnf(eq_72,plain,
join(Y,X) = meet(join(Y,join(Z,X)),join(X,Y)),
inference(cp,[status(thm)],[eq_67,eq_7]) ).
cnf(eq_73,plain,
join(X,Y) = meet(join(X,join(Z,Y)),join(Y,X)),
eq_72 ).
cnf(eq_74,plain,
join(Z,meet(X,Y)) = meet(join(Z,X),join(meet(X,Y),Z)),
inference(cp,[status(thm)],[eq_64,eq_7]) ).
cnf(eq_75,plain,
join(X,meet(Y,Z)) = meet(join(X,Y),join(meet(Y,Z),X)),
eq_74 ).
cnf(eq_76,plain,
join(X,Y) = meet(join(Y,X),join(X,join(Z,Y))),
inference(cp,[status(thm)],[eq_73,eq_56]) ).
cnf(eq_77,plain,
join(join(X,Y),join(join(X,Y),x102)) = join(join(Y,X),x102),
inference(cp,[status(thm)],[eq_41,eq_69]) ).
cnf(eq_78,plain,
join(join(X,Y),Z) = join(join(Y,X),Z),
inference(rw,[status(thm)],[eq_77,eq_45]) ).
cnf(eq_79,plain,
join(join(Y,X),Z) = join(Z,join(X,Y)),
inference(cp,[status(thm)],[eq_78,eq_41]) ).
cnf(eq_80,plain,
join(X,join(Y,Z)) = join(join(Z,Y),X),
eq_79 ).
cnf(eq_81,plain,
join(join(X,meet(Y,Z)),Y) = meet(join(X,Y),join(Y,join(meet(Y,Z),X))),
inference(cp,[status(thm)],[eq_75,eq_71]) ).
cnf(eq_82,plain,
join(X,Y) = join(join(Y,meet(X,Z)),X),
inference(rw,[status(thm)],[eq_81,eq_76]) ).
cnf(eq_83,plain,
join(join(x100,X),join(Y,X)) = join(join(Y,X),x100),
inference(cp,[status(thm)],[eq_62,eq_82]) ).
cnf(eq_84,plain,
join(join(X,Y),Z) = join(join(Z,Y),join(X,Y)),
eq_83 ).
cnf(eq_85,plain,
join(join(x100,X),join(X,Y)) = join(join(Y,X),x100),
inference(cp,[status(thm)],[eq_41,eq_84]) ).
cnf(eq_86,plain,
join(join(X,Y),Z) = join(join(Z,Y),join(Y,X)),
eq_85 ).
cnf(eq_87,negated_conjecture,
join(join(a,b),join(c,b)) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_84,eq_57]) ).
cnf(eq_88,negated_conjecture,
join(join(c,b),join(b,a)) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_80,eq_87]) ).
cnf(eq_89,negated_conjecture,
join(join(a,b),c) != join(join(a,b),c),
inference(rw,[status(thm)],[eq_88,eq_86]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT007-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n007.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 04:44:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 14.59/14.78 % SZS status Unsatisfiable
% 14.59/14.78 % SZS output start CNFRefutation for /tmp/MaedMax_7119
% See solution above
% 14.59/14.78
%------------------------------------------------------------------------------