TSTP Solution File: LAT153-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n012.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 89.73s 89.95s
% Output : CNFRefutation 89.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 63 ( 63 unt; 0 nHn; 12 RR)
% Number of literals : 63 ( 62 equ; 11 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 129 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_16718') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_16718') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_16718') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_16718') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_16718') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_16718') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_16718') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_16718') ).
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_16718') ).
cnf(eq_9,negated_conjecture,
meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))) != meet(a,join(b,meet(a,c))),
file('/tmp/MaedMax_16718') ).
cnf(eq_10,negated_conjecture,
meet(a,join(b,meet(a,join(meet(c,join(b,a)),meet(b,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_9,eq_4]),eq_5]),eq_5]),eq_4]) ).
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,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_14,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_15,plain,
join(X,meet(Y,meet(X,Z))) = X,
inference(cp,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_16,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_5,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(X,join(Y,meet(x102,join(x103,meet(x102,join(Y,X)))))) = meet(X,join(Y,meet(x102,join(X,x103)))),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_19,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_21]) ).
cnf(eq_20,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_17 ).
cnf(eq_21,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_16,eq_7]) ).
cnf(eq_22,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_13 ).
cnf(eq_23,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_19 ).
cnf(eq_24,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(Z,join(Y,X)))))),
eq_18 ).
cnf(eq_25,plain,
X = join(X,meet(Y,X)),
eq_14 ).
cnf(eq_26,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_27,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_28,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_4,eq_22]) ).
cnf(eq_29,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_11,eq_26]) ).
cnf(eq_30,plain,
meet(join(meet(X,Z),Y),join(X,Y)) = join(meet(X,Z),Y),
inference(cp,[status(thm)],[eq_20,eq_11]) ).
cnf(eq_31,plain,
join(X,join(Y,meet(x101,meet(join(X,Y),x102)))) = join(X,Y),
inference(cp,[status(thm)],[eq_7,eq_15]) ).
cnf(eq_32,plain,
join(Y,join(meet(X,Y),x102)) = join(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_20]) ).
cnf(eq_33,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_32 ).
cnf(eq_34,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_28 ).
cnf(eq_35,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_27 ).
cnf(eq_36,plain,
meet(join(X,Y),join(meet(X,Z),Y)) = join(meet(X,Z),Y),
inference(rw,[status(thm)],[eq_30,eq_4]) ).
cnf(eq_37,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_29 ).
cnf(eq_38,plain,
join(X,Y) = join(X,join(Y,meet(Z,meet(join(X,Y),U)))),
eq_31 ).
cnf(eq_39,plain,
join(meet(Y,X),meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_34,eq_25]) ).
cnf(eq_40,plain,
meet(X,Y) = join(meet(X,Y),meet(Y,X)),
eq_39 ).
cnf(eq_41,plain,
meet(join(X,meet(Y,Z)),meet(x101,join(X,Y))) = meet(x101,join(X,meet(Y,Z))),
inference(cp,[status(thm)],[eq_23,eq_37]) ).
cnf(eq_42,plain,
join(X,Y) = join(join(meet(Z,X),Y),X),
inference(cp,[status(thm)],[eq_33,eq_5]) ).
cnf(eq_43,plain,
join(X,Y) = join(meet(Z,X),join(Y,X)),
inference(rw,[status(thm)],[eq_42,eq_7]) ).
cnf(eq_44,plain,
meet(X,join(Y,meet(Z,U))) = meet(join(Y,meet(Z,U)),meet(X,join(Y,Z))),
eq_41 ).
cnf(eq_45,negated_conjecture,
meet(a,meet(join(Z,a),join(b,meet(a,join(meet(c,join(b,a)),meet(b,a)))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_35,eq_10]) ).
cnf(eq_46,negated_conjecture,
meet(a,meet(join(X,a),join(b,meet(a,join(meet(b,a),meet(c,join(b,a))))))) != meet(a,join(b,meet(c,a))),
inference(rw,[status(thm)],[eq_45,eq_5]) ).
cnf(eq_47,plain,
join(meet(x100,meet(Y,X)),meet(X,Y)) = join(meet(Y,X),meet(X,Y)),
inference(cp,[status(thm)],[eq_40,eq_43]) ).
cnf(eq_48,negated_conjecture,
meet(a,join(meet(c,a),b)) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_4]),eq_5]),eq_35]),eq_5]) ).
cnf(eq_49,plain,
meet(X,Y) = join(meet(Z,meet(X,Y)),meet(Y,X)),
inference(rw,[status(thm)],[eq_47,eq_40]) ).
cnf(eq_50,plain,
meet(X,join(Y,meet(Z,join(meet(Z,join(Y,X)),meet(Z,join(Y,X)))))) = meet(X,join(Y,meet(Z,join(X,X)))),
inference(cp,[status(thm)],[eq_24,eq_24]) ).
cnf(eq_51,plain,
join(meet(X,Y),meet(join(Z,Y),X)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_37,eq_49]) ).
cnf(eq_52,plain,
meet(X,join(Y,meet(Z,X))) = meet(X,join(Y,meet(Z,join(Y,X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_1]),eq_22]),eq_1]) ).
cnf(eq_53,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(join(Y,Z),X)),
eq_51 ).
cnf(eq_54,plain,
meet(join(x100,Y),join(Y,meet(x100,x102))) = join(meet(x100,x102),Y),
inference(cp,[status(thm)],[eq_5,eq_36]) ).
cnf(eq_55,plain,
meet(join(X,Y),join(Y,meet(X,Z))) = join(meet(X,Z),Y),
eq_54 ).
cnf(eq_56,negated_conjecture,
meet(a,meet(join(c,b),join(b,meet(c,a)))) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),
inference(cp,[status(thm)],[eq_55,eq_48]) ).
cnf(eq_57,negated_conjecture,
meet(a,meet(join(c,b),join(b,meet(c,a)))) != meet(a,join(b,meet(a,join(meet(b,a),meet(c,join(b,a)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_56,eq_4]),eq_5]) ).
cnf(eq_58,negated_conjecture,
meet(a,join(b,join(meet(a,meet(c,join(b,a))),meet(join(meet(b,a),meet(c,join(b,a))),a)))) != meet(a,meet(join(c,b),join(b,meet(c,a)))),
inference(cp,[status(thm)],[eq_53,eq_57]) ).
cnf(eq_59,negated_conjecture,
meet(a,join(b,meet(c,a))) != meet(a,join(b,join(meet(c,a),meet(a,join(meet(c,join(b,a)),meet(b,a)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_37]),eq_5]),eq_4]),eq_55]),eq_5]) ).
cnf(eq_60,negated_conjecture,
meet(a,join(b,join(meet(c,a),meet(join(meet(c,join(b,a)),meet(b,a)),meet(a,join(meet(c,join(b,a)),b)))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_44,eq_59]) ).
cnf(eq_61,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)],[inference(rw,[status(thm)],[eq_60,eq_5]),eq_52]),eq_26]),eq_4]),eq_38]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT153-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n012.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 04:58:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 89.73/89.95 % SZS status Unsatisfiable
% 89.73/89.95 % SZS output start CNFRefutation for /tmp/MaedMax_16718
% See solution above
% 89.73/89.95
%------------------------------------------------------------------------------