TSTP Solution File: LAT152-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT152-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n028.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 07:05:38 EDT 2022
% Result : Unsatisfiable 29.83s 29.98s
% Output : CNFRefutation 29.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of clauses : 67 ( 67 unt; 0 nHn; 6 RR)
% Number of literals : 67 ( 66 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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 : 148 ( 25 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_27385') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_27385') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_27385') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_27385') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_27385') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_27385') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_27385') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_27385') ).
cnf(eq_8,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(Z,join(X,Y)))))),
file('/tmp/MaedMax_27385') ).
cnf(eq_9,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
file('/tmp/MaedMax_27385') ).
cnf(eq_10,plain,
meet(X,join(Y,join(X,Z))) = X,
inference(cp,[status(thm)],[eq_25,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(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_13,plain,
join(X,join(Y,meet(join(X,Y),x101))) = join(X,Y),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_15,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_16,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_17,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_18,plain,
meet(x100,X) = meet(X,meet(x100,join(X,Y))),
inference(cp,[status(thm)],[eq_2,eq_29]) ).
cnf(eq_19,plain,
meet(x100,X) = meet(X,meet(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_29]) ).
cnf(eq_20,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_25]) ).
cnf(eq_21,plain,
meet(X,Y) = meet(Y,meet(X,Y)),
eq_19 ).
cnf(eq_22,plain,
meet(X,Y) = meet(Y,meet(X,join(Y,Z))),
eq_18 ).
cnf(eq_23,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_17 ).
cnf(eq_24,plain,
join(X,Y) = join(X,join(X,Y)),
eq_16 ).
cnf(eq_25,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_7]) ).
cnf(eq_26,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_20 ).
cnf(eq_27,plain,
join(X,Y) = join(X,join(Y,meet(join(X,Y),Z))),
eq_13 ).
cnf(eq_28,plain,
X = join(X,meet(Y,X)),
eq_14 ).
cnf(eq_29,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_30,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(b,meet(c,join(a,meet(a,join(b,meet(a,c))))))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_8,eq_9]) ).
cnf(eq_31,negated_conjecture,
meet(a,join(meet(c,join(b,meet(c,a))),meet(a,join(b,meet(c,a))))) != meet(a,join(b,meet(c,a))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_30,eq_4]),eq_4]),eq_3]),eq_5]),eq_4]) ).
cnf(eq_32,plain,
meet(Y,join(join(X,Z),meet(X,join(x103,X)))) = meet(Y,join(join(X,Z),meet(X,join(Y,x103)))),
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_33,plain,
meet(X,join(meet(Y,X),meet(x102,join(x103,meet(x102,X))))) = meet(X,join(meet(Y,X),meet(x102,join(X,x103)))),
inference(cp,[status(thm)],[eq_28,eq_8]) ).
cnf(eq_34,plain,
meet(meet(X,Z),join(X,Y)) = meet(X,Z),
inference(cp,[status(thm)],[eq_23,eq_10]) ).
cnf(eq_35,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_5,eq_24]) ).
cnf(eq_36,plain,
join(Y,join(x101,meet(X,Y))) = join(x101,Y),
inference(cp,[status(thm)],[eq_4,eq_26]) ).
cnf(eq_37,plain,
meet(X,join(meet(Y,X),meet(Z,join(X,U)))) = meet(X,join(meet(Y,X),meet(Z,join(U,meet(Z,X))))),
eq_33 ).
cnf(eq_38,plain,
meet(X,Y) = meet(X,meet(Y,join(X,Z))),
inference(rw,[status(thm)],[eq_34,eq_6]) ).
cnf(eq_39,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_36 ).
cnf(eq_40,plain,
meet(join(Y,X),join(X,Y)) = join(Y,X),
inference(cp,[status(thm)],[eq_35,eq_11]) ).
cnf(eq_41,plain,
join(meet(X,join(Y,Z)),meet(X,Y)) = meet(X,join(Y,Z)),
inference(cp,[status(thm)],[eq_22,eq_28]) ).
cnf(eq_42,plain,
meet(join(X,Y),join(Y,X)) = join(X,Y),
eq_40 ).
cnf(eq_43,plain,
meet(X,join(Y,Z)) = meet(X,join(Z,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_11]),eq_7]),eq_35]),eq_7]),eq_26]) ).
cnf(eq_44,plain,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[eq_41,eq_5]) ).
cnf(eq_45,plain,
meet(Y,join(X,meet(join(X,Y),join(x103,join(X,Y))))) = meet(Y,join(X,meet(join(X,Y),join(Y,x103)))),
inference(cp,[status(thm)],[eq_42,eq_8]) ).
cnf(eq_46,plain,
join(meet(X,Y),join(x101,meet(X,Y))) = join(x101,meet(X,Y)),
inference(cp,[status(thm)],[eq_21,eq_39]) ).
cnf(eq_47,plain,
join(X,meet(Y,Z)) = join(meet(Y,Z),X),
inference(rw,[status(thm)],[eq_46,eq_35]) ).
cnf(eq_48,plain,
X = meet(X,join(Y,meet(join(Y,X),join(X,Z)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_45,eq_11]),eq_24]),eq_11]) ).
cnf(eq_49,plain,
meet(X,join(Y,Z)) = meet(join(Z,Y),X),
inference(cp,[status(thm)],[eq_43,eq_4]) ).
cnf(eq_50,negated_conjecture,
meet(a,join(meet(c,join(meet(c,a),b)),meet(a,join(meet(c,a),b)))) != meet(a,join(meet(c,a),b)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_31,eq_5]),eq_5]),eq_5]) ).
cnf(eq_51,plain,
join(join(Y,meet(join(Y,X),join(X,Z))),X) = join(Y,meet(join(Y,X),join(X,Z))),
inference(cp,[status(thm)],[eq_48,eq_28]) ).
cnf(eq_52,plain,
join(X,Y) = join(X,meet(join(X,Y),join(Y,Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_7]),eq_5]),eq_27]) ).
cnf(eq_53,plain,
join(Z,meet(join(Y,x102),join(Y,Z))) = join(Z,Y),
inference(cp,[status(thm)],[eq_49,eq_52]) ).
cnf(eq_54,plain,
join(X,Y) = join(X,meet(join(Y,Z),join(Y,X))),
eq_53 ).
cnf(eq_55,plain,
join(x100,meet(join(Y,X),join(X,x100))) = join(x100,X),
inference(cp,[status(thm)],[eq_5,eq_54]) ).
cnf(eq_56,plain,
join(X,Y) = join(X,meet(join(Z,Y),join(Y,X))),
eq_55 ).
cnf(eq_57,plain,
join(x100,meet(X,join(meet(Y,X),x100))) = join(x100,meet(Y,X)),
inference(cp,[status(thm)],[eq_28,eq_56]) ).
cnf(eq_58,plain,
join(meet(X,Y),x102) = join(x102,meet(Y,X)),
inference(cp,[status(thm)],[eq_4,eq_47]) ).
cnf(eq_59,plain,
join(X,meet(Y,Z)) = join(X,meet(Z,join(meet(Y,Z),X))),
eq_57 ).
cnf(eq_60,plain,
join(X,meet(Y,Z)) = join(meet(Z,Y),X),
eq_58 ).
cnf(eq_61,plain,
meet(x100,join(meet(x101,x100),meet(Y,x101))) = meet(x100,join(meet(x101,x100),meet(x101,join(x100,meet(Y,x101))))),
inference(cp,[status(thm)],[eq_59,eq_37]) ).
cnf(eq_62,plain,
meet(X,Y) = meet(X,join(meet(Y,X),meet(Z,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_61,eq_44]),eq_38]) ).
cnf(eq_63,plain,
meet(Y,join(meet(x102,Z),meet(Y,Z))) = meet(Y,Z),
inference(cp,[status(thm)],[eq_60,eq_62]) ).
cnf(eq_64,plain,
meet(X,Y) = meet(X,join(meet(Z,Y),meet(X,Y))),
eq_63 ).
cnf(eq_65,negated_conjecture,
meet(a,join(b,meet(c,a))) != meet(a,join(b,meet(c,a))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_5]),eq_5]),eq_64]),eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT152-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_maedmax %d %s
% 0.14/0.33 % Computer : n028.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 05:20:17 EDT 2022
% 0.14/0.34 % CPUTime :
% 29.83/29.98 % SZS status Unsatisfiable
% 29.83/29.98 % SZS output start CNFRefutation for /tmp/MaedMax_27385
% See solution above
% 29.83/29.99
%------------------------------------------------------------------------------