TSTP Solution File: LAT040-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n022.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 07:05:27 EDT 2022
% Result : Unsatisfiable 1.97s 2.17s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 26 RR)
% Number of literals : 61 ( 60 equ; 2 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 : 76 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_22691') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_22691') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_22691') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_22691') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_22691') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_22691') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_22691') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_22691') ).
cnf(eq_8,axiom,
meet(join(X,Y),join(X,Z)) = join(X,meet(Y,Z)),
file('/tmp/MaedMax_22691') ).
cnf(eq_9,axiom,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/tmp/MaedMax_22691') ).
cnf(eq_10,axiom,
join(xx,yy) = join(xx,zz),
file('/tmp/MaedMax_22691') ).
cnf(eq_11,axiom,
meet(xx,yy) = meet(xx,zz),
file('/tmp/MaedMax_22691') ).
cnf(eq_12,negated_conjecture,
yy != zz,
file('/tmp/MaedMax_22691') ).
cnf(eq_13,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_14,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_15,plain,
meet(meet(xx,zz),x102) = meet(xx,meet(yy,x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_16,plain,
meet(join(X,x101),X) = join(X,meet(x101,X)),
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_17,plain,
join(meet(x100,x102),meet(x100,x101)) = meet(x100,join(x101,x102)),
inference(cp,[status(thm)],[eq_5,eq_9]) ).
cnf(eq_18,plain,
join(meet(X,Y),meet(Y,x102)) = meet(Y,join(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_9]) ).
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(x100,X) = join(X,join(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_23]) ).
cnf(eq_21,plain,
X = join(X,meet(Y,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_4]),eq_2]) ).
cnf(eq_22,plain,
meet(X,join(Y,Z)) = join(meet(Y,X),meet(X,Z)),
eq_18 ).
cnf(eq_23,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_19,eq_7]) ).
cnf(eq_24,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_20 ).
cnf(eq_25,plain,
meet(X,join(Y,Z)) = meet(X,join(Z,Y)),
inference(rw,[status(thm)],[eq_17,eq_9]) ).
cnf(eq_26,plain,
meet(xx,meet(yy,X)) = meet(zz,meet(xx,X)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_4]),eq_6]) ).
cnf(eq_27,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_14,eq_6]) ).
cnf(eq_28,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_29,plain,
join(join(xx,yy),x102) = join(xx,join(zz,x102)),
inference(cp,[status(thm)],[eq_10,eq_7]) ).
cnf(eq_30,plain,
meet(Z,join(X,join(Y,Z))) = Z,
inference(cp,[status(thm)],[eq_7,eq_13]) ).
cnf(eq_31,plain,
join(x100,X) = join(X,join(x100,meet(Y,X))),
inference(cp,[status(thm)],[eq_21,eq_23]) ).
cnf(eq_32,plain,
join(zz,join(xx,yy)) = join(xx,zz),
inference(cp,[status(thm)],[eq_10,eq_24]) ).
cnf(eq_33,plain,
X = meet(X,join(Y,join(Z,X))),
eq_30 ).
cnf(eq_34,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_28 ).
cnf(eq_35,plain,
join(xx,join(yy,zz)) = join(xx,yy),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_23]),eq_5]),eq_10]) ).
cnf(eq_36,plain,
join(xx,join(yy,X)) = join(xx,join(zz,X)),
inference(rw,[status(thm)],[eq_29,eq_7]) ).
cnf(eq_37,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_31 ).
cnf(eq_38,plain,
join(xx,join(zz,yy)) = join(xx,zz),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_35,eq_5]),eq_10]) ).
cnf(eq_39,plain,
meet(yy,join(xx,zz)) = yy,
inference(cp,[status(thm)],[eq_10,eq_13]) ).
cnf(eq_40,plain,
meet(join(xx,zz),yy) = yy,
inference(rw,[status(thm)],[eq_39,eq_4]) ).
cnf(eq_41,plain,
meet(join(zz,yy),join(xx,zz)) = join(zz,yy),
inference(cp,[status(thm)],[eq_38,eq_13]) ).
cnf(eq_42,plain,
meet(join(xx,zz),join(zz,yy)) = join(zz,yy),
inference(rw,[status(thm)],[eq_41,eq_4]) ).
cnf(eq_43,plain,
meet(X,join(Y,Z)) = meet(join(Z,Y),X),
inference(cp,[status(thm)],[eq_25,eq_4]) ).
cnf(eq_44,plain,
join(xx,join(yy,meet(x102,xx))) = join(zz,xx),
inference(cp,[status(thm)],[eq_36,eq_37]) ).
cnf(eq_45,plain,
meet(zz,xx) = meet(xx,meet(yy,join(Y,join(Z,xx)))),
inference(cp,[status(thm)],[eq_33,eq_26]) ).
cnf(eq_46,plain,
join(yy,xx) = join(zz,xx),
inference(rw,[status(thm)],[eq_44,eq_37]) ).
cnf(eq_47,plain,
meet(yy,xx) = meet(zz,xx),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_27]),eq_33]) ).
cnf(eq_48,plain,
meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_34]) ).
cnf(eq_49,plain,
meet(X,Y) = meet(join(Z,X),meet(Y,X)),
inference(rw,[status(thm)],[eq_48,eq_6]) ).
cnf(eq_50,plain,
meet(join(zz,yy),join(zz,xx)) = join(zz,yy),
inference(cp,[status(thm)],[eq_43,eq_42]) ).
cnf(eq_51,plain,
join(meet(xx,yy),meet(yy,zz)) = yy,
inference(cp,[status(thm)],[eq_22,eq_39]) ).
cnf(eq_52,plain,
join(meet(xx,zz),meet(zz,yy)) = yy,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_11]),eq_4]) ).
cnf(eq_53,plain,
join(zz,yy) = zz,
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)],[eq_50,eq_5]),eq_9]),eq_4]),eq_4]),eq_9]),eq_9]),eq_11]),eq_0]),eq_1]),eq_3]),eq_5]),eq_21]) ).
cnf(eq_54,plain,
meet(zz,meet(x102,yy)) = meet(yy,x102),
inference(cp,[status(thm)],[eq_53,eq_49]) ).
cnf(eq_55,plain,
meet(yy,X) = meet(zz,meet(X,yy)),
eq_54 ).
cnf(eq_56,plain,
meet(zz,yy) = meet(yy,join(xx,zz)),
inference(cp,[status(thm)],[eq_40,eq_55]) ).
cnf(eq_57,plain,
meet(zz,yy) = yy,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_9]),eq_47]),eq_4]),eq_4]),eq_52]) ).
cnf(eq_58,plain,
yy = zz,
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_50,eq_53]),eq_46]),eq_9]),eq_57]),eq_47]),eq_3]),eq_53]) ).
cnf(eq_59,negated_conjecture,
zz != zz,
inference(cp,[status(thm)],[eq_58,eq_12]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n022.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 05:09:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.97/2.17 % SZS status Unsatisfiable
% 1.97/2.17 % SZS output start CNFRefutation for /tmp/MaedMax_22691
% See solution above
% 1.97/2.17
%------------------------------------------------------------------------------