TSTP Solution File: LAT043-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% 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 8.31s 8.52s
% Output : CNFRefutation 8.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of clauses : 83 ( 83 unt; 0 nHn; 11 RR)
% Number of literals : 83 ( 82 equ; 7 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 : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 120 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_1376') ).
cnf(eq_1,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_1376') ).
cnf(eq_2,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_1376') ).
cnf(eq_3,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_1376') ).
cnf(eq_4,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_1376') ).
cnf(eq_5,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_1376') ).
cnf(eq_6,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_1376') ).
cnf(eq_7,axiom,
meet(X,join(Y,Z)) = join(meet(X,Y),meet(X,Z)),
file('/tmp/MaedMax_1376') ).
cnf(eq_8,axiom,
join(complement(X),X) = n1,
file('/tmp/MaedMax_1376') ).
cnf(eq_9,axiom,
meet(complement(X),X) = n0,
file('/tmp/MaedMax_1376') ).
cnf(eq_10,axiom,
X = complement(complement(X)),
file('/tmp/MaedMax_1376') ).
cnf(eq_11,negated_conjecture,
meet(complement(c),complement(d)) != complement(join(c,d)),
file('/tmp/MaedMax_1376') ).
cnf(eq_12,negated_conjecture,
meet(complement(d),complement(c)) != complement(join(d,c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_11,eq_3]),eq_4]) ).
cnf(eq_13,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_14,plain,
meet(complement(X),n1) = complement(X),
inference(cp,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_15,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_16,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_17,plain,
meet(X,complement(X)) = n0,
inference(cp,[status(thm)],[eq_3,eq_9]) ).
cnf(eq_18,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_19,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_20,plain,
join(X,complement(X)) = n1,
inference(cp,[status(thm)],[eq_10,eq_8]) ).
cnf(eq_21,plain,
n0 = meet(x101,meet(complement(meet(x101,x102)),x102)),
inference(cp,[status(thm)],[eq_9,eq_27]) ).
cnf(eq_22,plain,
join(x100,n1) = join(complement(X),join(x100,X)),
inference(cp,[status(thm)],[eq_8,eq_24]) ).
cnf(eq_23,plain,
meet(X,meet(Y,complement(meet(X,Y)))) = n0,
inference(rw,[status(thm)],[eq_21,eq_3]) ).
cnf(eq_24,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_19,eq_6]) ).
cnf(eq_25,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_16 ).
cnf(eq_26,plain,
X = join(X,meet(Y,X)),
eq_18 ).
cnf(eq_27,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_5]) ).
cnf(eq_28,plain,
meet(X,n1) = X,
inference(cp,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_29,plain,
complement(n1) = n0,
inference(cp,[status(thm)],[eq_14,eq_9]) ).
cnf(eq_30,plain,
join(X,n0) = X,
inference(cp,[status(thm)],[eq_17,eq_2]) ).
cnf(eq_31,plain,
join(X,x102) = join(X,join(meet(Y,X),x102)),
inference(cp,[status(thm)],[eq_26,eq_6]) ).
cnf(eq_32,plain,
meet(meet(X,Y),X) = meet(X,Y),
inference(cp,[status(thm)],[eq_2,eq_13]) ).
cnf(eq_33,plain,
join(n1,complement(X)) = n1,
inference(cp,[status(thm)],[eq_14,eq_26]) ).
cnf(eq_34,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_31 ).
cnf(eq_35,plain,
meet(X,Y) = meet(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_32,eq_5]) ).
cnf(eq_36,plain,
join(n0,X) = X,
inference(cp,[status(thm)],[eq_4,eq_30]) ).
cnf(eq_37,plain,
join(complement(x100),n1) = n1,
inference(cp,[status(thm)],[eq_4,eq_33]) ).
cnf(eq_38,plain,
X = join(n0,X),
inference(cp,[status(thm)],[eq_30,eq_4]) ).
cnf(eq_39,plain,
join(complement(X),n1) = n1,
eq_37 ).
cnf(eq_40,plain,
meet(X,complement(X)) = complement(n1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_3]),eq_29]) ).
cnf(eq_41,plain,
X = join(complement(n1),X),
inference(rw,[status(thm)],[eq_38,eq_29]) ).
cnf(eq_42,plain,
join(X,n1) = n1,
inference(cp,[status(thm)],[eq_10,eq_39]) ).
cnf(eq_43,plain,
complement(n1) = meet(Y,complement(n1)),
inference(cp,[status(thm)],[eq_26,eq_41]) ).
cnf(eq_44,plain,
meet(X,complement(n1)) = complement(n1),
eq_43 ).
cnf(eq_45,plain,
join(complement(X),join(Y,X)) = n1,
inference(rw,[status(thm)],[eq_22,eq_42]) ).
cnf(eq_46,plain,
meet(X,n0) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_29]),eq_29]) ).
cnf(eq_47,plain,
join(complement(meet(Y,X)),X) = n1,
inference(cp,[status(thm)],[eq_26,eq_45]) ).
cnf(eq_48,plain,
join(X,complement(meet(Y,X))) = n1,
inference(rw,[status(thm)],[eq_47,eq_4]) ).
cnf(eq_49,plain,
join(complement(n1),meet(X,x102)) = meet(X,join(complement(X),x102)),
inference(cp,[status(thm)],[eq_40,eq_7]) ).
cnf(eq_50,plain,
meet(X,Y) = meet(X,join(complement(X),Y)),
inference(rw,[status(thm)],[eq_49,eq_41]) ).
cnf(eq_51,plain,
meet(x100,n1) = meet(x100,complement(meet(Y,complement(x100)))),
inference(cp,[status(thm)],[eq_48,eq_50]) ).
cnf(eq_52,plain,
X = meet(X,complement(meet(Y,complement(X)))),
inference(rw,[status(thm)],[eq_51,eq_28]) ).
cnf(eq_53,plain,
meet(x100,complement(meet(complement(x100),Y))) = x100,
inference(cp,[status(thm)],[eq_3,eq_52]) ).
cnf(eq_54,plain,
meet(complement(X),complement(meet(x101,X))) = complement(X),
inference(cp,[status(thm)],[eq_10,eq_52]) ).
cnf(eq_55,plain,
meet(complement(X),complement(meet(Y,X))) = complement(X),
eq_54 ).
cnf(eq_56,plain,
X = meet(X,complement(meet(complement(X),Y))),
eq_53 ).
cnf(eq_57,plain,
meet(meet(Y,complement(meet(X,Y))),n0) = meet(meet(Y,complement(meet(X,Y))),X),
inference(cp,[status(thm)],[eq_23,eq_35]) ).
cnf(eq_58,plain,
meet(X,meet(Y,complement(meet(Y,X)))) = n0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_5]),eq_46]),eq_46]),eq_5]),eq_3]) ).
cnf(eq_59,plain,
meet(x100,n1) = join(meet(x100,complement(X)),meet(x100,X)),
inference(cp,[status(thm)],[eq_8,eq_7]) ).
cnf(eq_60,plain,
X = join(meet(X,Y),meet(X,complement(Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_28]),eq_4]) ).
cnf(eq_61,plain,
join(Y,X) = join(Y,meet(X,complement(Y))),
inference(cp,[status(thm)],[eq_60,eq_34]) ).
cnf(eq_62,plain,
join(meet(X,Y),meet(Y,complement(X))) = Y,
inference(cp,[status(thm)],[eq_3,eq_60]) ).
cnf(eq_63,plain,
X = join(meet(Y,X),meet(X,complement(Y))),
eq_62 ).
cnf(eq_64,plain,
join(X,Y) = join(X,meet(Y,complement(X))),
eq_61 ).
cnf(eq_65,plain,
join(x100,meet(complement(x100),Y)) = join(x100,Y),
inference(cp,[status(thm)],[eq_3,eq_64]) ).
cnf(eq_66,plain,
join(n0,meet(meet(Y,complement(meet(Y,X))),complement(X))) = meet(Y,complement(meet(Y,X))),
inference(cp,[status(thm)],[eq_58,eq_63]) ).
cnf(eq_67,plain,
join(meet(complement(X),x101),meet(x101,X)) = x101,
inference(cp,[status(thm)],[eq_10,eq_63]) ).
cnf(eq_68,plain,
join(X,Y) = join(X,meet(complement(X),Y)),
eq_65 ).
cnf(eq_69,plain,
X = join(meet(complement(Y),X),meet(X,Y)),
eq_67 ).
cnf(eq_70,plain,
meet(X,complement(Y)) = meet(X,complement(meet(X,Y))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_66,eq_5]),eq_3]),eq_55]),eq_36]) ).
cnf(eq_71,plain,
join(Y,X) = join(X,meet(complement(X),Y)),
inference(cp,[status(thm)],[eq_4,eq_68]) ).
cnf(eq_72,plain,
join(X,Y) = join(Y,meet(complement(Y),X)),
eq_71 ).
cnf(eq_73,negated_conjecture,
meet(complement(d),meet(complement(c),complement(d))) != complement(join(d,c)),
inference(cp,[status(thm)],[eq_35,eq_12]) ).
cnf(eq_74,negated_conjecture,
meet(complement(d),meet(complement(d),complement(c))) != complement(join(d,c)),
inference(rw,[status(thm)],[eq_73,eq_3]) ).
cnf(eq_75,negated_conjecture,
meet(complement(d),meet(complement(d),meet(complement(c),complement(d)))) != complement(join(d,c)),
inference(cp,[status(thm)],[eq_35,eq_74]) ).
cnf(eq_76,negated_conjecture,
meet(complement(d),meet(complement(d),meet(complement(d),complement(c)))) != complement(join(d,c)),
inference(rw,[status(thm)],[eq_75,eq_3]) ).
cnf(eq_77,plain,
join(meet(complement(x100),complement(Y)),meet(complement(meet(complement(x100),Y)),x100)) = complement(meet(complement(x100),Y)),
inference(cp,[status(thm)],[eq_70,eq_69]) ).
cnf(eq_78,plain,
join(X,complement(Y)) = complement(meet(complement(X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_77,eq_3]),eq_56]),eq_4]),eq_68]) ).
cnf(eq_79,plain,
complement(meet(complement(x100),complement(Y))) = join(x100,complement(complement(meet(complement(x100),Y)))),
inference(cp,[status(thm)],[eq_70,eq_78]) ).
cnf(eq_80,plain,
join(X,Y) = complement(meet(complement(Y),complement(X))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_79,eq_10]),eq_72]) ).
cnf(eq_81,negated_conjecture,
meet(complement(d),complement(c)) != meet(complement(d),complement(c)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_76,eq_25]),eq_25]),eq_80]),eq_3]),eq_10]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LAT043-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 05:01:50 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.31/8.52 % SZS status Unsatisfiable
% 8.31/8.52 % SZS output start CNFRefutation for /tmp/MaedMax_1376
% See solution above
% 8.31/8.53
%------------------------------------------------------------------------------