TSTP Solution File: LAT021-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT021-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:05:24 EDT 2022
% Result : Unsatisfiable 25.01s 25.20s
% Output : CNFRefutation 25.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of clauses : 57 ( 57 unt; 0 nHn; 9 RR)
% Number of literals : 57 ( 56 equ; 7 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = join(X,X),
file('/tmp/MaedMax_16617') ).
cnf(eq_1,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_16617') ).
cnf(eq_2,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_16617') ).
cnf(eq_3,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_16617') ).
cnf(eq_4,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_16617') ).
cnf(eq_5,axiom,
meet(X,join(Y,Z)) = join(meet(X,join(Y,Z)),meet(X,Y)),
file('/tmp/MaedMax_16617') ).
cnf(eq_6,axiom,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/tmp/MaedMax_16617') ).
cnf(eq_7,axiom,
join(X,meet(Y,Z)) = join(join(X,meet(Y,Z)),meet(join(X,Y),Z)),
file('/tmp/MaedMax_16617') ).
cnf(eq_8,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/tmp/MaedMax_16617') ).
cnf(eq_9,plain,
join(X,meet(Y,Z)) = join(X,join(meet(Y,Z),meet(join(X,Y),Z))),
inference(rw,[status(thm)],[eq_7,eq_4]) ).
cnf(eq_10,negated_conjecture,
meet(a,join(c,b)) != join(meet(c,a),meet(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_2]),eq_1]),eq_1]),eq_2]) ).
cnf(eq_11,plain,
meet(join(meet(x101,x102),X),join(X,x101)) = join(X,meet(x101,x102)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_12,plain,
meet(meet(x101,x102),join(meet(x101,x102),x101)) = join(meet(x101,x102),meet(x101,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_13,plain,
meet(join(x100,meet(X,Y)),join(x100,Y)) = join(x100,meet(Y,X)),
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_14,plain,
meet(join(X,meet(X,x102)),X) = join(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_15,plain,
join(meet(x100,join(Y,X)),meet(x100,X)) = meet(x100,join(X,Y)),
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_16,plain,
join(meet(Y,join(X,x102)),meet(X,Y)) = meet(Y,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_17,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_18,plain,
join(x100,X) = join(X,join(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_19]) ).
cnf(eq_19,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_17,eq_4]) ).
cnf(eq_20,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_18 ).
cnf(eq_21,plain,
meet(X,Y) = meet(X,meet(Y,join(X,meet(X,Y)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_12,eq_2]),eq_3]),eq_0]) ).
cnf(eq_22,plain,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,join(Z,Y))),
inference(rw,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_23,plain,
meet(X,join(Y,Z)) = join(meet(Y,X),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_24,plain,
meet(join(X,Y),join(X,meet(Z,Y))) = join(X,meet(Y,Z)),
inference(rw,[status(thm)],[eq_13,eq_1]) ).
cnf(eq_25,plain,
meet(X,join(X,meet(X,Y))) = join(X,meet(X,Y)),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_26,plain,
join(meet(x100,join(X,Y)),meet(x100,Y)) = meet(x100,join(Y,join(X,Y))),
inference(cp,[status(thm)],[eq_20,eq_5]) ).
cnf(eq_27,plain,
meet(meet(x101,join(Y,meet(Y,x101))),Y) = meet(Y,x101),
inference(cp,[status(thm)],[eq_1,eq_21]) ).
cnf(eq_28,plain,
meet(X,Y) = meet(Y,join(X,meet(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_3]),eq_1]),eq_25]) ).
cnf(eq_29,plain,
meet(X,join(Y,meet(X,Y))) = meet(Y,X),
inference(cp,[status(thm)],[eq_1,eq_28]) ).
cnf(eq_30,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_26,eq_2]),eq_20]) ).
cnf(eq_31,plain,
meet(X,Y) = meet(Y,join(X,meet(Y,X))),
eq_29 ).
cnf(eq_32,plain,
meet(join(x100,meet(X,Y)),join(x100,Y)) = join(x100,meet(Y,join(X,meet(Y,X)))),
inference(cp,[status(thm)],[eq_31,eq_6]) ).
cnf(eq_33,plain,
meet(X,join(Y,Z)) = join(meet(X,join(Y,Z)),meet(Y,X)),
inference(cp,[status(thm)],[eq_23,eq_2]) ).
cnf(eq_34,plain,
join(meet(x100,Y),meet(join(x100,x102),Y)) = meet(Y,join(x100,x102)),
inference(cp,[status(thm)],[eq_1,eq_23]) ).
cnf(eq_35,plain,
meet(X,join(Y,Z)) = join(meet(Y,X),meet(join(Y,Z),X)),
eq_34 ).
cnf(eq_36,plain,
meet(X,join(Y,Z)) = meet(X,join(Z,Y)),
inference(rw,[status(thm)],[eq_30,eq_22]) ).
cnf(eq_37,plain,
meet(X,join(Y,Z)) = meet(join(Z,Y),X),
inference(cp,[status(thm)],[eq_36,eq_1]) ).
cnf(eq_38,plain,
join(X,meet(Y,Z)) = join(X,meet(Z,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_1]),eq_24]),eq_31]) ).
cnf(eq_39,plain,
join(X,meet(Y,Z)) = join(meet(Z,Y),X),
inference(cp,[status(thm)],[eq_38,eq_2]) ).
cnf(eq_40,plain,
meet(X,join(Y,Z)) = join(meet(join(Y,Z),X),meet(X,Y)),
inference(cp,[status(thm)],[eq_35,eq_39]) ).
cnf(eq_41,plain,
join(Z,join(meet(Y,X),meet(X,join(Y,Z)))) = join(Z,meet(Y,X)),
inference(cp,[status(thm)],[eq_37,eq_9]) ).
cnf(eq_42,plain,
join(X,meet(Y,Z)) = join(X,meet(Z,join(Y,X))),
inference(rw,[status(thm)],[eq_41,eq_23]) ).
cnf(eq_43,plain,
meet(join(meet(X,Y),Z),join(Z,X)) = join(Z,meet(X,Y)),
eq_11 ).
cnf(eq_44,negated_conjecture,
join(meet(join(c,b),a),meet(a,c)) != join(meet(c,a),meet(b,a)),
inference(cp,[status(thm)],[eq_40,eq_10]) ).
cnf(eq_45,negated_conjecture,
join(meet(a,c),meet(a,join(b,c))) != join(meet(b,a),meet(a,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_2]),eq_1]),eq_2]),eq_1]),eq_2]) ).
cnf(eq_46,negated_conjecture,
join(meet(a,b),meet(a,c)) != join(meet(a,c),meet(a,join(b,c))),
inference(cp,[status(thm)],[eq_1,eq_45]) ).
cnf(eq_47,plain,
meet(meet(X,join(Y,Z)),join(meet(X,join(Y,Z)),Y)) = join(meet(X,join(Y,Z)),meet(Y,X)),
inference(cp,[status(thm)],[eq_23,eq_43]) ).
cnf(eq_48,plain,
join(X,meet(Z,join(Y,X))) = join(meet(Y,Z),X),
inference(cp,[status(thm)],[eq_42,eq_2]) ).
cnf(eq_49,plain,
join(X,meet(Y,join(Z,X))) = join(meet(Z,Y),X),
eq_48 ).
cnf(eq_50,plain,
join(Y,meet(x101,join(Y,X))) = join(meet(X,x101),Y),
inference(cp,[status(thm)],[eq_2,eq_49]) ).
cnf(eq_51,plain,
join(X,meet(Y,join(X,Z))) = join(meet(Z,Y),X),
eq_50 ).
cnf(eq_52,plain,
join(X,meet(Y,join(X,Z))) = join(X,meet(Y,Z)),
inference(cp,[status(thm)],[eq_51,eq_39]) ).
cnf(eq_53,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(Z,X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_2]),eq_52]),eq_3]),eq_24]),eq_33]) ).
cnf(eq_54,negated_conjecture,
join(meet(a,c),meet(a,join(b,meet(c,a)))) != join(meet(a,b),meet(a,c)),
inference(cp,[status(thm)],[eq_53,eq_46]) ).
cnf(eq_55,negated_conjecture,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_54,eq_1]),eq_42]),eq_1]),eq_2]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT021-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : run_maedmax %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 26 05:08:50 EDT 2022
% 0.14/0.34 % CPUTime :
% 25.01/25.20 % SZS status Unsatisfiable
% 25.01/25.20 % SZS output start CNFRefutation for /tmp/MaedMax_16617
% See solution above
% 25.01/25.20
%------------------------------------------------------------------------------