TSTP Solution File: LAT159-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT159-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n021.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 07:05:39 EDT 2022
% Result : Unsatisfiable 133.08s 133.33s
% Output : CNFRefutation 133.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 9 RR)
% Number of literals : 62 ( 61 equ; 8 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 136 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_31243') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_31243') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_31243') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_31243') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_31243') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_31243') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_31243') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_31243') ).
cnf(eq_8,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(X,meet(Z,join(Y,U)))))),
file('/tmp/MaedMax_31243') ).
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_31243') ).
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(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_18,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_19,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_22]) ).
cnf(eq_20,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_18 ).
cnf(eq_21,plain,
join(X,Y) = join(X,join(X,Y)),
eq_17 ).
cnf(eq_22,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_16,eq_7]) ).
cnf(eq_23,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_13 ).
cnf(eq_24,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_19 ).
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(x100,join(X,meet(x102,join(x100,meet(x102,join(X,Y)))))) = meet(x100,join(X,meet(x102,join(x100,join(X,Y))))),
inference(cp,[status(thm)],[eq_21,eq_8]) ).
cnf(eq_28,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_29,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_4,eq_23]) ).
cnf(eq_30,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_11,eq_26]) ).
cnf(eq_31,plain,
join(Z,meet(X,meet(Y,Z))) = Z,
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_32,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_33,plain,
join(Y,join(meet(X,Y),x102)) = join(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_20]) ).
cnf(eq_34,plain,
X = join(X,meet(Y,meet(Z,X))),
eq_31 ).
cnf(eq_35,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_33 ).
cnf(eq_36,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_29 ).
cnf(eq_37,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(X,join(Y,U))))),
inference(rw,[status(thm)],[eq_27,eq_8]) ).
cnf(eq_38,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_28 ).
cnf(eq_39,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_30 ).
cnf(eq_40,plain,
join(X,Y) = join(X,join(Y,meet(Z,meet(join(X,Y),U)))),
eq_32 ).
cnf(eq_41,plain,
join(meet(Y,X),meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_36,eq_25]) ).
cnf(eq_42,plain,
join(x100,X) = join(X,join(x100,meet(Y,meet(Z,X)))),
inference(cp,[status(thm)],[eq_34,eq_22]) ).
cnf(eq_43,plain,
meet(X,Y) = join(meet(X,Y),meet(Y,X)),
eq_41 ).
cnf(eq_44,plain,
join(X,Y) = join(Y,join(X,meet(Z,meet(U,Y)))),
eq_42 ).
cnf(eq_45,plain,
meet(join(X,meet(Y,Z)),meet(x101,join(X,Y))) = meet(x101,join(X,meet(Y,Z))),
inference(cp,[status(thm)],[eq_24,eq_39]) ).
cnf(eq_46,plain,
join(X,Y) = join(join(meet(Z,X),Y),X),
inference(cp,[status(thm)],[eq_35,eq_5]) ).
cnf(eq_47,plain,
join(X,Y) = join(meet(Z,X),join(Y,X)),
inference(rw,[status(thm)],[eq_46,eq_7]) ).
cnf(eq_48,plain,
meet(X,join(Y,meet(Z,U))) = meet(join(Y,meet(Z,U)),meet(X,join(Y,Z))),
eq_45 ).
cnf(eq_49,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_38,eq_10]) ).
cnf(eq_50,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_49,eq_5]) ).
cnf(eq_51,plain,
join(meet(x100,meet(Y,X)),meet(X,Y)) = join(meet(Y,X),meet(X,Y)),
inference(cp,[status(thm)],[eq_43,eq_47]) ).
cnf(eq_52,plain,
meet(X,Y) = join(meet(Z,meet(X,Y)),meet(Y,X)),
inference(rw,[status(thm)],[eq_51,eq_43]) ).
cnf(eq_53,plain,
join(meet(X,Y),meet(join(Z,Y),X)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_39,eq_52]) ).
cnf(eq_54,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(join(Y,Z),X)),
eq_53 ).
cnf(eq_55,plain,
meet(Y,join(X,meet(x102,join(X,Y)))) = meet(Y,join(X,meet(x102,join(Y,meet(Z,meet(U,Y)))))),
inference(cp,[status(thm)],[eq_44,eq_37]) ).
cnf(eq_56,plain,
meet(X,join(Y,meet(Z,X))) = meet(X,join(Y,meet(Z,join(Y,X)))),
inference(rw,[status(thm)],[eq_55,eq_34]) ).
cnf(eq_57,negated_conjecture,
meet(a,meet(join(x100,a),join(b,join(meet(a,meet(c,join(b,a))),meet(join(meet(b,a),meet(c,join(b,a))),a))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_54,eq_50]) ).
cnf(eq_58,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)],[eq_57,eq_39]),eq_5]),eq_4]),eq_38]) ).
cnf(eq_59,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_48,eq_58]) ).
cnf(eq_60,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_59,eq_5]),eq_56]),eq_26]),eq_4]),eq_40]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT159-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 05:46:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 133.08/133.33 % SZS status Unsatisfiable
% 133.08/133.33 % SZS output start CNFRefutation for /tmp/MaedMax_31243
% See solution above
% 133.08/133.33
%------------------------------------------------------------------------------