%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n008.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 20.23s 20.44s
% Output : CNFRefutation 20.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 82 ( 82 unt; 0 nHn; 9 RR)
% Number of literals : 82 ( 81 equ; 4 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 185 ( 52 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_19940') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_19940') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_19940') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_19940') ).
cnf(eq_4,axiom,
X = meet(meet(join(Y,X),join(Z,X)),X),
file('/tmp/MaedMax_19940') ).
cnf(eq_5,axiom,
X = join(join(meet(Y,X),meet(Z,X)),X),
file('/tmp/MaedMax_19940') ).
cnf(eq_6,axiom,
X = meet(X,join(Y,join(X,Z))),
file('/tmp/MaedMax_19940') ).
cnf(eq_7,negated_conjecture,
join(join(a,b),c) != join(a,join(b,c)),
file('/tmp/MaedMax_19940') ).
cnf(eq_8,plain,
meet(x100,join(join(x100,x102),X)) = x100,
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_9,plain,
meet(X,join(x101,join(Y,X))) = X,
inference(cp,[status(thm)],[eq_3,eq_6]) ).
cnf(eq_10,plain,
meet(X,join(x101,X)) = X,
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_11,plain,
meet(join(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_12,plain,
join(meet(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_13,plain,
join(join(meet(X,Y),meet(x102,X)),X) = X,
inference(cp,[status(thm)],[eq_2,eq_5]) ).
cnf(eq_14,plain,
X = meet(join(Y,join(X,Z)),X),
inference(cp,[status(thm)],[eq_6,eq_2]) ).
cnf(eq_15,plain,
X = meet(join(Y,X),X),
eq_11 ).
cnf(eq_16,plain,
X = meet(X,join(join(X,Y),Z)),
eq_8 ).
cnf(eq_17,plain,
X = join(join(meet(X,Y),meet(Z,X)),X),
eq_13 ).
cnf(eq_18,plain,
X = meet(X,join(Y,join(Z,X))),
eq_9 ).
cnf(eq_19,plain,
X = meet(X,join(Y,X)),
eq_10 ).
cnf(eq_20,plain,
X = join(meet(Y,X),X),
eq_12 ).
cnf(eq_21,plain,
X = join(X,meet(Y,X)),
inference(cp,[status(thm)],[eq_20,eq_3]) ).
cnf(eq_22,plain,
join(X,join(Y,join(X,Z))) = join(Y,join(X,Z)),
inference(cp,[status(thm)],[eq_6,eq_20]) ).
cnf(eq_23,plain,
join(meet(X,Y),X) = X,
inference(cp,[status(thm)],[eq_2,eq_20]) ).
cnf(eq_24,plain,
join(X,join(Y,Z)) = join(Y,join(X,join(Y,Z))),
eq_22 ).
cnf(eq_25,plain,
meet(meet(X,join(x102,meet(Y,X))),meet(Y,X)) = meet(Y,X),
inference(cp,[status(thm)],[eq_21,eq_4]) ).
cnf(eq_26,plain,
meet(join(join(x101,x102),X),x101) = x101,
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_27,plain,
join(join(Y,join(X,Z)),X) = join(Y,join(X,Z)),
inference(cp,[status(thm)],[eq_6,eq_21]) ).
cnf(eq_28,plain,
join(X,join(Y,X)) = join(Y,X),
inference(cp,[status(thm)],[eq_15,eq_23]) ).
cnf(eq_29,plain,
join(join(meet(x100,join(Y,X)),X),join(Y,X)) = join(Y,X),
inference(cp,[status(thm)],[eq_19,eq_5]) ).
cnf(eq_30,plain,
join(X,Y) = join(join(meet(Z,join(X,Y)),Y),join(X,Y)),
eq_29 ).
cnf(eq_31,plain,
join(X,Y) = join(Y,join(X,Y)),
eq_28 ).
cnf(eq_32,plain,
meet(X,Y) = meet(meet(Y,join(Z,meet(X,Y))),meet(X,Y)),
eq_25 ).
cnf(eq_33,plain,
join(X,join(Y,Z)) = join(join(X,join(Y,Z)),Y),
eq_27 ).
cnf(eq_34,plain,
X = meet(join(join(X,Y),Z),X),
eq_26 ).
cnf(eq_35,plain,
join(X,join(Y,join(Z,X))) = join(Y,join(Z,X)),
inference(cp,[status(thm)],[eq_18,eq_20]) ).
cnf(eq_36,plain,
meet(X,join(join(Y,X),x102)) = X,
inference(cp,[status(thm)],[eq_3,eq_16]) ).
cnf(eq_37,plain,
meet(meet(Y,X),join(X,x102)) = meet(Y,X),
inference(cp,[status(thm)],[eq_20,eq_16]) ).
cnf(eq_38,plain,
meet(meet(X,Y),join(X,x102)) = meet(X,Y),
inference(cp,[status(thm)],[eq_23,eq_16]) ).
cnf(eq_39,plain,
meet(X,Y) = meet(meet(X,Y),join(X,Z)),
eq_38 ).
cnf(eq_40,plain,
join(X,join(Y,Z)) = join(Z,join(X,join(Y,Z))),
eq_35 ).
cnf(eq_41,plain,
X = meet(X,join(join(Y,X),Z)),
eq_36 ).
cnf(eq_42,plain,
meet(X,Y) = meet(meet(X,Y),join(Y,Z)),
eq_37 ).
cnf(eq_43,plain,
meet(join(join(X,Y),x102),Y) = Y,
inference(cp,[status(thm)],[eq_31,eq_34]) ).
cnf(eq_44,plain,
X = meet(join(join(Y,X),Z),X),
eq_43 ).
cnf(eq_45,plain,
X = join(X,join(meet(X,Y),meet(Z,X))),
inference(cp,[status(thm)],[eq_17,eq_3]) ).
cnf(eq_46,plain,
meet(meet(meet(Y,X),x101),X) = meet(meet(Y,X),x101),
inference(cp,[status(thm)],[eq_20,eq_39]) ).
cnf(eq_47,plain,
meet(meet(join(join(Y,X),Z),join(x101,X)),meet(X,join(join(Y,X),Z))) = meet(X,join(join(Y,X),Z)),
inference(cp,[status(thm)],[eq_41,eq_32]) ).
cnf(eq_48,plain,
X = meet(meet(join(join(Y,X),Z),join(x3,X)),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_47,eq_41]),eq_41]) ).
cnf(eq_49,plain,
meet(meet(X,Y),Z) = meet(meet(meet(X,Y),Z),Y),
eq_46 ).
cnf(eq_50,plain,
join(Y,join(x101,join(Y,X))) = join(x101,join(X,Y)),
inference(cp,[status(thm)],[eq_3,eq_40]) ).
cnf(eq_51,plain,
join(X,join(Y,Z)) = join(X,join(Z,Y)),
inference(rw,[status(thm)],[eq_50,eq_24]) ).
cnf(eq_52,plain,
join(join(Y,X),join(meet(join(Y,X),x101),X)) = join(Y,X),
inference(cp,[status(thm)],[eq_19,eq_45]) ).
cnf(eq_53,plain,
join(join(X,Z),join(join(Y,X),Z)) = join(join(Y,X),Z),
inference(cp,[status(thm)],[eq_41,eq_30]) ).
cnf(eq_54,plain,
join(join(X,Z),join(join(X,Y),Z)) = join(join(X,Y),Z),
inference(cp,[status(thm)],[eq_16,eq_30]) ).
cnf(eq_55,plain,
join(join(meet(X,Y),Z),join(Y,Z)) = join(Y,Z),
inference(cp,[status(thm)],[eq_42,eq_30]) ).
cnf(eq_56,plain,
join(join(X,Y),Z) = join(join(Y,Z),join(join(X,Y),Z)),
eq_53 ).
cnf(eq_57,plain,
join(X,Y) = join(join(X,Y),join(meet(join(X,Y),Z),Y)),
eq_52 ).
cnf(eq_58,plain,
join(X,Y) = join(join(meet(Z,X),Y),join(X,Y)),
eq_55 ).
cnf(eq_59,plain,
join(X,join(Y,Z)) = join(join(Z,Y),X),
inference(cp,[status(thm)],[eq_51,eq_3]) ).
cnf(eq_60,plain,
join(x101,x102) = join(join(x101,x102),join(x102,x101)),
inference(cp,[status(thm)],[eq_1,eq_51]) ).
cnf(eq_61,plain,
join(X,Y) = join(join(X,Y),join(Y,X)),
eq_60 ).
cnf(eq_62,plain,
meet(join(join(X,Y),x102),join(Y,X)) = join(Y,X),
inference(cp,[status(thm)],[eq_61,eq_44]) ).
cnf(eq_63,plain,
meet(join(join(X,Y),Z),join(Y,X)) = join(Y,X),
eq_62 ).
cnf(eq_64,plain,
meet(join(join(X,Y),Z),join(Z,Y)) = join(Z,Y),
inference(cp,[status(thm)],[eq_56,eq_63]) ).
cnf(eq_65,plain,
meet(join(join(X,Y),Z),join(Z,X)) = join(Z,X),
inference(cp,[status(thm)],[eq_54,eq_63]) ).
cnf(eq_66,plain,
meet(join(x102,x101),join(join(x100,x101),x102)) = join(x102,x101),
inference(cp,[status(thm)],[eq_2,eq_64]) ).
cnf(eq_67,plain,
meet(join(X,join(Y,Z)),join(X,Y)) = join(X,Y),
inference(cp,[status(thm)],[eq_59,eq_64]) ).
cnf(eq_68,plain,
meet(join(X,Y),join(join(Z,Y),X)) = join(X,Y),
eq_66 ).
cnf(eq_69,plain,
meet(join(X,join(Y,Z)),join(Y,X)) = join(Y,X),
inference(cp,[status(thm)],[eq_33,eq_65]) ).
cnf(eq_70,plain,
meet(join(X,Y),join(join(meet(Z,X),Y),X)) = join(join(meet(Z,X),Y),X),
inference(cp,[status(thm)],[eq_58,eq_67]) ).
cnf(eq_71,plain,
join(X,Y) = join(join(meet(Z,X),Y),X),
inference(rw,[status(thm)],[eq_70,eq_68]) ).
cnf(eq_72,plain,
join(join(meet(meet(X,Y),Z),x102),Y) = join(Y,x102),
inference(cp,[status(thm)],[eq_49,eq_71]) ).
cnf(eq_73,plain,
join(X,Y) = join(join(meet(meet(Z,X),x3),Y),X),
eq_72 ).
cnf(eq_74,plain,
join(join(X,join(Y,Z)),join(join(Y,X),join(Y,Z))) = join(X,join(Y,Z)),
inference(cp,[status(thm)],[eq_69,eq_57]) ).
cnf(eq_75,plain,
join(join(X,x103),join(x3,X)) = join(join(x3,X),x103),
inference(cp,[status(thm)],[eq_48,eq_73]) ).
cnf(eq_76,plain,
join(X,join(Y,Z)) = join(join(Y,X),join(Y,Z)),
inference(rw,[status(thm)],[eq_74,eq_56]) ).
cnf(eq_77,plain,
join(join(X,Y),Z) = join(join(Y,Z),join(X,Y)),
eq_75 ).
cnf(eq_78,negated_conjecture,
join(join(b,a),join(b,c)) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_76,eq_7]) ).
cnf(eq_79,negated_conjecture,
join(join(b,c),join(a,b)) != join(join(a,b),c),
inference(cp,[status(thm)],[eq_59,eq_78]) ).
cnf(eq_80,negated_conjecture,
join(join(a,b),c) != join(join(a,b),c),
inference(rw,[status(thm)],[eq_79,eq_77]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT027-1 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : run_maedmax %d %s
% 0.12/0.35 % Computer : n008.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Jul 26 05:04:08 EDT 2022
% 0.12/0.35 % CPUTime :
% 20.23/20.44 % SZS status Unsatisfiable
% 20.23/20.44 % SZS output start CNFRefutation for /tmp/MaedMax_19940
% See solution above
% 20.23/20.44
%------------------------------------------------------------------------------