TSTP Solution File: LAT154-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT154-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n004.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 07:05:38 EDT 2022
% Result : Unsatisfiable 16.54s 16.79s
% Output : CNFRefutation 16.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 41 ( 41 unt; 0 nHn; 6 RR)
% Number of literals : 41 ( 40 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 80 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = join(X,X),
file('/tmp/MaedMax_16381') ).
cnf(eq_1,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_16381') ).
cnf(eq_2,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_16381') ).
cnf(eq_3,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_16381') ).
cnf(eq_4,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_16381') ).
cnf(eq_5,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_16381') ).
cnf(eq_6,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_16381') ).
cnf(eq_7,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(Y,join(U,meet(X,Z)))))),
file('/tmp/MaedMax_16381') ).
cnf(eq_8,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(a,b)))) != meet(a,join(b,meet(a,c))),
file('/tmp/MaedMax_16381') ).
cnf(eq_9,plain,
meet(X,meet(Y,join(meet(X,Y),x101))) = meet(X,Y),
inference(cp,[status(thm)],[eq_5,eq_1]) ).
cnf(eq_10,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_11,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_12,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_13,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_14,plain,
meet(x100,join(x101,meet(x102,join(x101,join(meet(x100,x102),X))))) = meet(x100,join(x101,meet(x102,join(x100,X)))),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_15,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_16,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(Y,join(meet(X,Z),U))))),
eq_14 ).
cnf(eq_17,plain,
join(X,Y) = join(X,join(X,Y)),
eq_13 ).
cnf(eq_18,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_19,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_15 ).
cnf(eq_20,plain,
meet(X,Y) = meet(X,meet(Y,join(meet(X,Y),Z))),
eq_9 ).
cnf(eq_21,plain,
X = join(X,meet(Y,X)),
eq_11 ).
cnf(eq_22,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_23,plain,
join(X,join(Y,meet(x101,join(X,Y)))) = join(X,Y),
inference(cp,[status(thm)],[eq_6,eq_21]) ).
cnf(eq_24,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_4,eq_17]) ).
cnf(eq_25,plain,
join(Y,join(x101,meet(X,Y))) = join(x101,Y),
inference(cp,[status(thm)],[eq_3,eq_19]) ).
cnf(eq_26,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_22 ).
cnf(eq_27,plain,
join(X,Y) = join(X,join(Y,meet(Z,join(X,Y)))),
eq_23 ).
cnf(eq_28,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_25 ).
cnf(eq_29,plain,
meet(join(Y,X),join(X,Y)) = join(Y,X),
inference(cp,[status(thm)],[eq_24,eq_10]) ).
cnf(eq_30,plain,
meet(join(X,Y),join(Y,X)) = join(X,Y),
eq_29 ).
cnf(eq_31,plain,
meet(meet(join(x101,Y),x102),Y) = meet(Y,x102),
inference(cp,[status(thm)],[eq_3,eq_26]) ).
cnf(eq_32,plain,
meet(X,Y) = meet(join(Z,X),meet(Y,X)),
inference(rw,[status(thm)],[eq_31,eq_5]) ).
cnf(eq_33,plain,
meet(join(Z,join(x100,x101)),meet(join(x101,x100),join(x100,x101))) = join(x100,x101),
inference(cp,[status(thm)],[eq_32,eq_30]) ).
cnf(eq_34,plain,
meet(join(X,join(Y,Z)),join(Z,Y)) = join(Y,Z),
inference(rw,[status(thm)],[eq_33,eq_30]) ).
cnf(eq_35,plain,
meet(join(X,Y),join(meet(Z,Y),X)) = join(X,meet(Z,Y)),
inference(cp,[status(thm)],[eq_28,eq_34]) ).
cnf(eq_36,negated_conjecture,
meet(a,join(meet(a,join(b,meet(a,c))),meet(c,join(meet(a,join(b,meet(a,c))),join(meet(a,c),b))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_16,eq_8]) ).
cnf(eq_37,negated_conjecture,
meet(a,join(meet(c,join(b,meet(c,a))),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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_3]),eq_3]),eq_3]),eq_4]),eq_18]),eq_4]),eq_27]),eq_4]),eq_3]) ).
cnf(eq_38,negated_conjecture,
meet(a,meet(join(meet(c,join(b,meet(c,a))),join(b,meet(c,a))),join(meet(a,join(b,meet(c,a))),meet(c,join(b,meet(c,a)))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_35,eq_37]) ).
cnf(eq_39,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)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_38,eq_3]),eq_3]),eq_3]),eq_3]),eq_18]),eq_4]),eq_27]),eq_20]),eq_3]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT154-1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n004.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 04:56:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 16.54/16.79 % SZS status Unsatisfiable
% 16.54/16.79 % SZS output start CNFRefutation for /tmp/MaedMax_16381
% See solution above
% 16.54/16.79
%------------------------------------------------------------------------------