TSTP Solution File: LAT019-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n018.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 1.52s 1.76s
% Output : CNFRefutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 4 RR)
% Number of literals : 47 ( 46 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 90 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_4778') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_4778') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_4778') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_4778') ).
cnf(eq_4,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_4778') ).
cnf(eq_5,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_4778') ).
cnf(eq_6,axiom,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/tmp/MaedMax_4778') ).
cnf(eq_7,axiom,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/tmp/MaedMax_4778') ).
cnf(eq_8,negated_conjecture,
meet(join(a,b),join(a,c)) != join(a,meet(b,c)),
file('/tmp/MaedMax_4778') ).
cnf(eq_9,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_10,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_11,plain,
meet(join(x100,meet(X,Y)),join(x100,Y)) = join(x100,meet(Y,X)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_12,plain,
meet(join(X,meet(Y,x102)),join(Y,X)) = join(X,meet(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_13,plain,
meet(join(X,meet(X,x102)),X) = join(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_14,plain,
join(X,meet(X,x102)) = meet(X,join(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_15,plain,
join(meet(X,x101),X) = meet(X,join(x101,X)),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_16,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_17,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_18,plain,
meet(x100,X) = meet(X,meet(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_28]) ).
cnf(eq_19,plain,
join(x100,X) = join(X,join(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_24]) ).
cnf(eq_20,plain,
meet(X,Y) = meet(Y,meet(X,Y)),
eq_18 ).
cnf(eq_21,plain,
meet(join(X,Y),join(Y,meet(X,Z))) = join(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_2]) ).
cnf(eq_22,plain,
join(X,Y) = join(X,join(X,Y)),
eq_17 ).
cnf(eq_23,plain,
meet(X,join(X,Y)) = join(X,meet(X,Y)),
eq_14 ).
cnf(eq_24,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_16,eq_5]) ).
cnf(eq_25,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_10 ).
cnf(eq_26,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_19 ).
cnf(eq_27,plain,
meet(join(X,Y),join(X,meet(Z,Y))) = join(X,meet(Y,Z)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_28,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_9,eq_4]) ).
cnf(eq_29,plain,
meet(X,join(Y,X)) = join(X,meet(X,Y)),
inference(rw,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_30,plain,
join(meet(X,x101),meet(X,Y)) = meet(X,join(x101,meet(X,Y))),
inference(cp,[status(thm)],[eq_25,eq_7]) ).
cnf(eq_31,plain,
meet(meet(Y,x101),Y) = meet(Y,x101),
inference(cp,[status(thm)],[eq_2,eq_25]) ).
cnf(eq_32,plain,
meet(X,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_33,plain,
meet(X,Y) = meet(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_31,eq_4]) ).
cnf(eq_34,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(X,Z))),
inference(rw,[status(thm)],[eq_30,eq_7]) ).
cnf(eq_35,plain,
meet(X,Y) = meet(Y,meet(Y,X)),
eq_32 ).
cnf(eq_36,plain,
join(meet(X,x101),meet(X,Y)) = meet(X,join(x101,meet(Y,X))),
inference(cp,[status(thm)],[eq_33,eq_7]) ).
cnf(eq_37,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(Z,X))),
inference(rw,[status(thm)],[eq_36,eq_7]) ).
cnf(eq_38,plain,
join(X,meet(X,Y)) = join(X,meet(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_2]),eq_23]),eq_35]) ).
cnf(eq_39,plain,
meet(X,join(Y,X)) = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_40,plain,
meet(Z,join(X,join(Y,Z))) = join(Z,meet(join(X,Y),Z)),
inference(cp,[status(thm)],[eq_5,eq_39]) ).
cnf(eq_41,plain,
meet(X,join(Y,join(Z,X))) = join(X,meet(join(Y,Z),X)),
eq_40 ).
cnf(eq_42,negated_conjecture,
meet(join(a,b),join(a,meet(c,join(a,b)))) != join(a,meet(b,c)),
inference(cp,[status(thm)],[eq_37,eq_8]) ).
cnf(eq_43,plain,
join(join(Y,meet(X,Z)),join(Y,meet(X,Z))) = meet(join(Y,meet(X,Z)),join(X,join(Y,join(Y,meet(X,Z))))),
inference(cp,[status(thm)],[eq_21,eq_41]) ).
cnf(eq_44,plain,
join(X,meet(Y,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_5]),eq_26]),eq_22]),eq_22]),eq_39]),eq_34]),eq_5]),eq_7]),eq_26]) ).
cnf(eq_45,negated_conjecture,
join(a,meet(c,b)) != join(a,meet(c,b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_44]),eq_27]),eq_2]),eq_2]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT019-1 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 05:14:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.52/1.76 % SZS status Unsatisfiable
% 1.52/1.76 % SZS output start CNFRefutation for /tmp/MaedMax_4778
% See solution above
% 1.52/1.76
%------------------------------------------------------------------------------