TSTP Solution File: LAT023-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n023.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 07:05:25 EDT 2022
% Result : Unsatisfiable 63.62s 63.83s
% Output : CNFRefutation 63.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of clauses : 74 ( 74 unt; 0 nHn; 5 RR)
% Number of literals : 74 ( 73 equ; 4 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 : 152 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_21888') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_21888') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_21888') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_21888') ).
cnf(eq_4,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_21888') ).
cnf(eq_5,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_21888') ).
cnf(eq_6,axiom,
meet(X,join(Y,Z)) = join(meet(X,join(Y,Z)),meet(X,Y)),
file('/tmp/MaedMax_21888') ).
cnf(eq_7,axiom,
meet(join(X,meet(Y,Z)),join(X,Y)) = join(X,meet(Y,Z)),
file('/tmp/MaedMax_21888') ).
cnf(eq_8,axiom,
join(meet(join(X,Y),Z),Y) = join(meet(join(Z,Y),X),Y),
file('/tmp/MaedMax_21888') ).
cnf(eq_9,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('/tmp/MaedMax_21888') ).
cnf(eq_10,plain,
join(X,meet(join(Y,X),Z)) = join(X,meet(join(Z,X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_8,eq_3]),eq_3]) ).
cnf(eq_11,negated_conjecture,
meet(a,join(b,meet(c,a))) != join(meet(c,a),meet(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_2]),eq_2]),eq_2]),eq_3]) ).
cnf(eq_12,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_13,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_14,plain,
meet(join(meet(x101,x102),X),join(X,x101)) = join(X,meet(x101,x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_15,plain,
meet(join(X,meet(Y,x102)),join(Y,X)) = join(X,meet(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_16,plain,
meet(join(X,meet(X,x102)),X) = join(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_17,plain,
join(meet(X,join(X,x102)),X) = meet(X,join(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_18,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_19,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_20,plain,
meet(x100,X) = meet(X,meet(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_31]) ).
cnf(eq_21,plain,
join(x100,X) = join(X,join(x100,X)),
inference(cp,[status(thm)],[eq_1,eq_25]) ).
cnf(eq_22,plain,
meet(X,Y) = meet(Y,meet(X,Y)),
eq_20 ).
cnf(eq_23,plain,
meet(join(X,Y),join(Y,meet(X,Z))) = join(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_2]) ).
cnf(eq_24,plain,
join(X,Y) = join(X,join(X,Y)),
eq_19 ).
cnf(eq_25,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_18,eq_5]) ).
cnf(eq_26,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_13 ).
cnf(eq_27,plain,
meet(X,join(X,Y)) = join(X,meet(X,join(X,Y))),
inference(rw,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_28,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_21 ).
cnf(eq_29,plain,
meet(join(X,Y),join(meet(Y,Z),X)) = join(X,meet(Y,Z)),
inference(rw,[status(thm)],[eq_14,eq_2]) ).
cnf(eq_30,plain,
meet(X,join(X,meet(X,Y))) = join(X,meet(X,Y)),
inference(rw,[status(thm)],[eq_16,eq_2]) ).
cnf(eq_31,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_32,plain,
join(meet(x100,join(X,Y)),meet(x100,Y)) = meet(x100,join(Y,join(X,Y))),
inference(cp,[status(thm)],[eq_28,eq_6]) ).
cnf(eq_33,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_3,eq_24]) ).
cnf(eq_34,plain,
meet(Y,join(Y,meet(X,Y))) = join(Y,meet(Y,X)),
inference(cp,[status(thm)],[eq_2,eq_30]) ).
cnf(eq_35,plain,
meet(Y,join(Y,meet(X,Y))) = join(Y,meet(Y,meet(X,Y))),
inference(cp,[status(thm)],[eq_22,eq_30]) ).
cnf(eq_36,plain,
join(X,meet(X,join(Y,X))) = meet(X,join(X,Y)),
inference(cp,[status(thm)],[eq_3,eq_27]) ).
cnf(eq_37,plain,
meet(X,join(X,meet(Y,X))) = join(X,meet(X,Y)),
eq_34 ).
cnf(eq_38,plain,
meet(X,join(X,meet(Y,X))) = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_35,eq_22]) ).
cnf(eq_39,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_3]),eq_28]) ).
cnf(eq_40,plain,
meet(join(x100,X),join(X,x100)) = join(x100,meet(X,X)),
inference(cp,[status(thm)],[eq_0,eq_29]) ).
cnf(eq_41,plain,
join(Y,join(Y,meet(X,Z))) = join(Y,meet(join(join(Y,meet(X,Z)),Y),X)),
inference(cp,[status(thm)],[eq_23,eq_10]) ).
cnf(eq_42,plain,
join(x100,meet(X,join(x101,x100))) = join(x100,meet(join(X,x100),x101)),
inference(cp,[status(thm)],[eq_2,eq_10]) ).
cnf(eq_43,plain,
join(X,meet(X,x102)) = join(X,meet(join(x102,X),X)),
inference(cp,[status(thm)],[eq_1,eq_10]) ).
cnf(eq_44,plain,
meet(X,join(X,Y)) = join(X,meet(X,Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_43,eq_2]),eq_36]) ).
cnf(eq_45,plain,
join(X,meet(Y,Z)) = join(X,meet(Y,join(X,meet(Y,Z)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_24]),eq_5]),eq_33]),eq_2]) ).
cnf(eq_46,plain,
meet(join(X,Y),join(Y,X)) = join(X,Y),
inference(rw,[status(thm)],[eq_40,eq_0]) ).
cnf(eq_47,plain,
join(X,meet(Y,join(Z,X))) = join(X,meet(join(Y,X),Z)),
eq_42 ).
cnf(eq_48,plain,
meet(X,join(X,meet(Y,X))) = meet(X,join(X,Y)),
inference(rw,[status(thm)],[eq_37,eq_44]) ).
cnf(eq_49,plain,
meet(X,join(X,Y)) = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_38,eq_48]) ).
cnf(eq_50,plain,
meet(join(X,Y),x102) = meet(join(X,Y),meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_46,eq_4]) ).
cnf(eq_51,plain,
meet(join(X,Y),Z) = meet(join(X,Y),meet(join(Y,X),Z)),
eq_50 ).
cnf(eq_52,plain,
meet(X,join(Y,X)) = join(X,meet(Y,X)),
inference(cp,[status(thm)],[eq_3,eq_49]) ).
cnf(eq_53,plain,
join(X,meet(x101,join(meet(x101,x102),X))) = join(X,meet(x101,x102)),
inference(cp,[status(thm)],[eq_3,eq_45]) ).
cnf(eq_54,plain,
join(X,meet(Y,Z)) = join(X,meet(Y,join(meet(Y,Z),X))),
eq_53 ).
cnf(eq_55,plain,
meet(meet(join(Y,X),Z),meet(join(X,Y),Z)) = meet(join(X,Y),meet(join(Y,X),Z)),
inference(cp,[status(thm)],[eq_51,eq_22]) ).
cnf(eq_56,plain,
meet(join(X,Y),Z) = meet(join(Y,X),Z),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_55,eq_4]),eq_22]),eq_51]),eq_51]) ).
cnf(eq_57,plain,
meet(X,join(x100,x101)) = meet(join(x101,x100),X),
inference(cp,[status(thm)],[eq_2,eq_56]) ).
cnf(eq_58,plain,
meet(X,join(Y,Z)) = meet(join(Z,Y),X),
eq_57 ).
cnf(eq_59,plain,
join(Y,meet(X,join(Y,Z))) = join(Y,meet(Z,join(X,Y))),
inference(cp,[status(thm)],[eq_58,eq_47]) ).
cnf(eq_60,plain,
join(X,meet(Y,join(X,Z))) = join(X,meet(Z,join(Y,X))),
eq_59 ).
cnf(eq_61,plain,
join(x100,meet(Y,join(meet(X,Y),x100))) = join(x100,meet(Y,X)),
inference(cp,[status(thm)],[eq_2,eq_54]) ).
cnf(eq_62,plain,
join(X,meet(Y,Z)) = join(X,meet(Y,join(meet(Z,Y),X))),
eq_61 ).
cnf(eq_63,plain,
join(meet(X,Y),meet(Y,join(x102,meet(X,Y)))) = meet(Y,join(x102,meet(X,Y))),
inference(cp,[status(thm)],[eq_22,eq_39]) ).
cnf(eq_64,plain,
meet(X,join(Y,meet(Z,X))) = join(meet(Z,X),meet(X,join(Y,meet(Z,X)))),
eq_63 ).
cnf(eq_65,plain,
meet(X,join(meet(x102,X),meet(Z,X))) = join(meet(Z,X),meet(X,x102)),
inference(cp,[status(thm)],[eq_64,eq_62]) ).
cnf(eq_66,plain,
meet(X,join(Y,meet(Z,X))) = join(meet(Z,X),meet(Y,join(meet(Z,X),X))),
inference(cp,[status(thm)],[eq_64,eq_60]) ).
cnf(eq_67,plain,
meet(X,join(meet(Y,X),meet(Z,X))) = join(meet(Z,X),meet(X,Y)),
eq_65 ).
cnf(eq_68,plain,
join(meet(Z,X),join(meet(Z,X),meet(X,Y))) = join(meet(Z,X),meet(meet(Y,X),join(meet(Z,X),X))),
inference(cp,[status(thm)],[eq_67,eq_60]) ).
cnf(eq_69,plain,
meet(X,join(Y,meet(Z,X))) = join(meet(Z,X),meet(Y,meet(X,join(Z,X)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_3]),eq_52]) ).
cnf(eq_70,plain,
meet(X,join(Y,meet(Z,X))) = join(meet(Z,X),meet(X,Y)),
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_68,eq_24]),eq_3]),eq_52]),eq_4]),eq_26]),eq_69]) ).
cnf(eq_71,negated_conjecture,
join(meet(c,a),meet(a,b)) != join(meet(c,a),meet(b,a)),
inference(cp,[status(thm)],[eq_70,eq_11]) ).
cnf(eq_72,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)],[inference(rw,[status(thm)],[eq_71,eq_2]),eq_3]),eq_2]),eq_2]),eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT023-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 26 05:30:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 63.62/63.83 % SZS status Unsatisfiable
% 63.62/63.83 % SZS output start CNFRefutation for /tmp/MaedMax_21888
% See solution above
% 63.62/63.83
%------------------------------------------------------------------------------