TSTP Solution File: LAT011-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 07:05:23 EDT 2022
% Result : Unsatisfiable 65.56s 65.78s
% Output : CNFRefutation 65.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of clauses : 61 ( 61 unt; 0 nHn; 14 RR)
% Number of literals : 61 ( 60 equ; 13 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 116 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_2717') ).
cnf(eq_1,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_2717') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_2717') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_2717') ).
cnf(eq_4,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_2717') ).
cnf(eq_5,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_2717') ).
cnf(eq_6,axiom,
meet2(X,Y) = meet2(Y,X),
file('/tmp/MaedMax_2717') ).
cnf(eq_7,axiom,
X = meet2(X,join(X,Y)),
file('/tmp/MaedMax_2717') ).
cnf(eq_8,axiom,
X = join(X,meet2(X,Y)),
file('/tmp/MaedMax_2717') ).
cnf(eq_9,axiom,
meet2(X,meet2(Y,Z)) = meet2(meet2(X,Y),Z),
file('/tmp/MaedMax_2717') ).
cnf(eq_10,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/tmp/MaedMax_2717') ).
cnf(eq_11,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
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,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_14,plain,
join(Y,meet2(X,Y)) = Y,
inference(cp,[status(thm)],[eq_6,eq_8]) ).
cnf(eq_15,plain,
join(meet2(X,Y),meet2(X,meet2(Y,Z))) = meet2(X,Y),
inference(cp,[status(thm)],[eq_9,eq_8]) ).
cnf(eq_16,plain,
join(Y,join(x100,x101)) = join(x100,join(x101,Y)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_17,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_18,plain,
meet2(X,join(Y,join(X,Z))) = X,
inference(cp,[status(thm)],[eq_22,eq_7]) ).
cnf(eq_19,plain,
meet2(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_20,plain,
meet2(meet2(X,Y),x102) = meet2(Y,meet2(X,x102)),
inference(cp,[status(thm)],[eq_6,eq_9]) ).
cnf(eq_21,plain,
join(X,join(Y,Z)) = join(Y,join(Z,X)),
eq_16 ).
cnf(eq_22,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_17,eq_5]) ).
cnf(eq_23,plain,
meet2(X,meet2(Y,Z)) = meet2(Y,meet2(X,Z)),
inference(rw,[status(thm)],[eq_20,eq_9]) ).
cnf(eq_24,plain,
X = join(X,meet2(Y,X)),
eq_14 ).
cnf(eq_25,plain,
X = join(X,meet(Y,X)),
eq_13 ).
cnf(eq_26,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_4]) ).
cnf(eq_27,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_11,eq_4]) ).
cnf(eq_28,plain,
meet(meet2(Y,X),X) = meet2(Y,X),
inference(cp,[status(thm)],[eq_24,eq_11]) ).
cnf(eq_29,plain,
meet(meet2(X,Y),X) = meet2(X,Y),
inference(cp,[status(thm)],[eq_8,eq_11]) ).
cnf(eq_30,plain,
meet2(meet(Y,X),X) = meet(Y,X),
inference(cp,[status(thm)],[eq_25,eq_19]) ).
cnf(eq_31,plain,
meet2(meet(X,Y),X) = meet(X,Y),
inference(cp,[status(thm)],[eq_1,eq_19]) ).
cnf(eq_32,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_27 ).
cnf(eq_33,plain,
meet(X,Y) = meet2(Y,meet(X,Y)),
inference(rw,[status(thm)],[eq_30,eq_6]) ).
cnf(eq_34,plain,
meet(X,meet2(Y,X)) = meet2(Y,X),
inference(rw,[status(thm)],[eq_28,eq_2]) ).
cnf(eq_35,plain,
meet(X,meet2(X,Y)) = meet2(X,Y),
inference(rw,[status(thm)],[eq_29,eq_2]) ).
cnf(eq_36,plain,
meet(X,Y) = meet2(X,meet(X,Y)),
inference(rw,[status(thm)],[eq_31,eq_6]) ).
cnf(eq_37,plain,
meet2(X,x102) = meet2(X,meet2(join(Y,join(X,Z)),x102)),
inference(cp,[status(thm)],[eq_18,eq_9]) ).
cnf(eq_38,plain,
meet2(X,Y) = meet2(X,meet2(join(Z,join(X,x3)),Y)),
eq_37 ).
cnf(eq_39,plain,
meet(X,meet2(X,Y)) = meet2(Y,X),
inference(cp,[status(thm)],[eq_6,eq_34]) ).
cnf(eq_40,negated_conjecture,
meet(b,meet2(b,a)) != meet(a,b),
inference(cp,[status(thm)],[eq_39,eq_10]) ).
cnf(eq_41,negated_conjecture,
meet(b,meet2(b,a)) != meet(b,a),
inference(rw,[status(thm)],[eq_40,eq_2]) ).
cnf(eq_42,plain,
meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_2,eq_32]) ).
cnf(eq_43,plain,
meet(X,Y) = meet(join(Z,X),meet(Y,X)),
inference(rw,[status(thm)],[eq_42,eq_4]) ).
cnf(eq_44,negated_conjecture,
meet(b,meet(a,meet2(a,b))) != meet(b,a),
inference(cp,[status(thm)],[eq_39,eq_41]) ).
cnf(eq_45,negated_conjecture,
meet(a,meet2(a,b)) != meet(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_26]),eq_34]),eq_2]) ).
cnf(eq_46,negated_conjecture,
meet(join(Z,a),meet(meet2(a,b),a)) != meet(a,b),
inference(cp,[status(thm)],[eq_43,eq_45]) ).
cnf(eq_47,negated_conjecture,
meet(join(X,a),meet2(a,b)) != meet(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_2]),eq_35]) ).
cnf(eq_48,negated_conjecture,
meet(meet2(a,b),join(X,a)) != meet(a,b),
inference(rw,[status(thm)],[eq_47,eq_2]) ).
cnf(eq_49,negated_conjecture,
meet(meet2(a,b),join(a,X)) != meet(a,b),
inference(cp,[status(thm)],[eq_3,eq_48]) ).
cnf(eq_50,negated_conjecture,
meet(meet2(a,b),join(X,join(a,Z))) != meet(a,b),
inference(cp,[status(thm)],[eq_21,eq_49]) ).
cnf(eq_51,negated_conjecture,
meet(meet2(a,b),join(X,join(a,Y))) != meet(a,b),
eq_50 ).
cnf(eq_52,negated_conjecture,
meet(meet2(b,a),join(X,join(a,Y))) != meet(b,a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_51,eq_6]),eq_2]) ).
cnf(eq_53,plain,
join(meet2(x100,X),meet2(x100,meet(X,Y))) = meet2(x100,X),
inference(cp,[status(thm)],[eq_36,eq_15]) ).
cnf(eq_54,plain,
join(meet2(X,Y),meet2(X,meet(Y,Z))) = meet2(X,Y),
eq_53 ).
cnf(eq_55,plain,
join(meet2(Y,X),meet(X,Y)) = meet2(Y,X),
inference(cp,[status(thm)],[eq_33,eq_54]) ).
cnf(eq_56,plain,
join(meet2(X,Y),meet(Y,X)) = meet2(X,Y),
eq_55 ).
cnf(eq_57,plain,
meet(meet(Y,X),meet2(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_56,eq_11]) ).
cnf(eq_58,plain,
meet(X,Y) = meet2(Y,X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_4]),eq_35]),eq_34]) ).
cnf(eq_59,negated_conjecture,
meet2(a,b) != meet2(a,b),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_6]),eq_58]),eq_23]),eq_38]),eq_58]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT011-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : run_maedmax %d %s
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Jul 26 04:53:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 65.56/65.78 % SZS status Unsatisfiable
% 65.56/65.78 % SZS output start CNFRefutation for /tmp/MaedMax_2717
% See solution above
% 65.56/65.78
%------------------------------------------------------------------------------