%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT155-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 87.56s 87.81s
% Output : CNFRefutation 87.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 14 RR)
% Number of literals : 64 ( 63 equ; 12 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 : 123 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_19908') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_19908') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_19908') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_19908') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_19908') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_19908') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_19908') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_19908') ).
cnf(eq_8,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(X,Z),meet(Z,join(Y,U))))),
file('/tmp/MaedMax_19908') ).
cnf(eq_9,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/tmp/MaedMax_19908') ).
cnf(eq_10,negated_conjecture,
meet(a,join(b,meet(c,join(meet(c,b),meet(join(c,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)],[inference(rw,[status(thm)],[eq_9,eq_4]),eq_5]),eq_4]),eq_4]),eq_5]) ).
cnf(eq_11,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_12,plain,
meet(x100,join(x101,join(meet(x102,join(x101,x103)),meet(x100,x102)))) = meet(x100,join(x101,meet(x102,join(x100,x103)))),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_13,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_14,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_15,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_16,plain,
join(X,meet(Y,meet(X,Z))) = X,
inference(cp,[status(thm)],[eq_28,eq_3]) ).
cnf(eq_17,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_18,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_19,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_20,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_24]) ).
cnf(eq_21,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(Z,join(Y,U)),meet(X,Z)))),
eq_12 ).
cnf(eq_22,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_19 ).
cnf(eq_23,plain,
join(X,Y) = join(X,join(X,Y)),
eq_18 ).
cnf(eq_24,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_17,eq_7]) ).
cnf(eq_25,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_14 ).
cnf(eq_26,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_20 ).
cnf(eq_27,plain,
X = join(X,meet(Y,X)),
eq_15 ).
cnf(eq_28,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_13,eq_6]) ).
cnf(eq_29,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_30,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_4,eq_25]) ).
cnf(eq_31,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_11,eq_28]) ).
cnf(eq_32,plain,
meet(join(meet(X,Z),Y),join(X,Y)) = join(meet(X,Z),Y),
inference(cp,[status(thm)],[eq_22,eq_11]) ).
cnf(eq_33,plain,
join(X,join(Y,meet(x101,meet(join(X,Y),x102)))) = join(X,Y),
inference(cp,[status(thm)],[eq_7,eq_16]) ).
cnf(eq_34,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_5,eq_23]) ).
cnf(eq_35,plain,
join(Y,join(x101,meet(X,Y))) = join(x101,Y),
inference(cp,[status(thm)],[eq_4,eq_26]) ).
cnf(eq_36,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_30 ).
cnf(eq_37,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_29 ).
cnf(eq_38,plain,
meet(join(X,Y),join(meet(X,Z),Y)) = join(meet(X,Z),Y),
inference(rw,[status(thm)],[eq_32,eq_4]) ).
cnf(eq_39,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_31 ).
cnf(eq_40,plain,
join(X,Y) = join(X,join(Y,meet(Z,meet(join(X,Y),U)))),
eq_33 ).
cnf(eq_41,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_35 ).
cnf(eq_42,plain,
meet(join(Y,X),join(X,Y)) = join(Y,X),
inference(cp,[status(thm)],[eq_34,eq_11]) ).
cnf(eq_43,plain,
meet(join(X,Y),join(Y,X)) = join(X,Y),
eq_42 ).
cnf(eq_44,plain,
meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_37]) ).
cnf(eq_45,plain,
join(meet(X,join(Z,Y)),join(x101,meet(X,Y))) = join(x101,meet(X,join(Z,Y))),
inference(cp,[status(thm)],[eq_39,eq_41]) ).
cnf(eq_46,plain,
meet(X,Y) = meet(join(Z,X),meet(Y,X)),
inference(rw,[status(thm)],[eq_44,eq_6]) ).
cnf(eq_47,plain,
join(X,meet(Y,join(Z,U))) = join(meet(Y,join(Z,U)),join(X,meet(Y,U))),
eq_45 ).
cnf(eq_48,negated_conjecture,
meet(a,meet(join(Z,a),join(b,meet(c,a)))) != meet(a,join(b,meet(c,join(meet(c,b),meet(join(c,b),a))))),
inference(cp,[status(thm)],[eq_37,eq_10]) ).
cnf(eq_49,negated_conjecture,
meet(a,meet(join(X,a),join(meet(a,c),b))) != meet(a,join(b,meet(c,join(meet(c,b),meet(a,join(c,b)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_48,eq_4]),eq_5]),eq_4]) ).
cnf(eq_50,plain,
meet(join(Z,join(x100,x101)),meet(join(x101,x100),join(x100,x101))) = join(x100,x101),
inference(cp,[status(thm)],[eq_46,eq_43]) ).
cnf(eq_51,plain,
meet(join(X,join(Y,Z)),join(Z,Y)) = join(Y,Z),
inference(rw,[status(thm)],[eq_50,eq_43]) ).
cnf(eq_52,plain,
meet(join(X,Y),join(meet(Z,Y),X)) = join(X,meet(Z,Y)),
inference(cp,[status(thm)],[eq_41,eq_51]) ).
cnf(eq_53,negated_conjecture,
meet(a,join(b,meet(c,join(meet(c,b),join(meet(a,join(meet(c,b),b)),meet(c,a)))))) != meet(a,meet(join(x100,a),join(meet(a,c),b))),
inference(cp,[status(thm)],[eq_21,eq_49]) ).
cnf(eq_54,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(b,a),join(meet(b,c),meet(a,c)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[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_53,eq_4]),eq_4]),eq_4]),eq_5]),eq_3]),eq_4]),eq_24]),eq_5]),eq_37]) ).
cnf(eq_55,plain,
join(X,join(Y,meet(x102,join(meet(X,Z),Y)))) = join(X,Y),
inference(cp,[status(thm)],[eq_38,eq_40]) ).
cnf(eq_56,plain,
join(X,Y) = join(X,join(Y,meet(Z,join(meet(X,U),Y)))),
eq_55 ).
cnf(eq_57,negated_conjecture,
meet(a,join(b,meet(c,join(meet(b,a),meet(join(meet(b,c),c),join(meet(a,c),meet(b,c))))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_52,eq_54]) ).
cnf(eq_58,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(b,a),meet(c,join(meet(b,c),meet(a,c))))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_57,eq_5]),eq_5]),eq_27]) ).
cnf(eq_59,negated_conjecture,
meet(a,join(meet(c,join(meet(b,a),meet(c,join(meet(b,c),meet(a,c))))),join(b,meet(c,meet(c,join(meet(b,c),meet(a,c))))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_47,eq_58]) ).
cnf(eq_60,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(b,c),meet(a,c))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_25]),eq_24]),eq_5]),eq_56]) ).
cnf(eq_61,negated_conjecture,
meet(a,join(meet(c,join(meet(b,c),meet(a,c))),join(b,meet(c,meet(a,c))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_47,eq_60]) ).
cnf(eq_62,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(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_61,eq_36]),eq_4]),eq_24]),eq_5]),eq_56]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT155-1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n026.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 05:28:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 87.56/87.81 % SZS status Unsatisfiable
% 87.56/87.81 % SZS output start CNFRefutation for /tmp/MaedMax_19908
% See solution above
% 87.56/87.81
%------------------------------------------------------------------------------