TSTP Solution File: LAT008-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:05:23 EDT 2022
% Result : Unsatisfiable 0.50s 0.70s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 5 RR)
% Number of literals : 35 ( 34 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 63 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_27508') ).
cnf(eq_1,axiom,
join(meet(X,Y),meet(Z,Y)) = meet(Y,join(Z,X)),
file('/tmp/MaedMax_27508') ).
cnf(eq_2,negated_conjecture,
join(a,meet(a,b)) != a,
file('/tmp/MaedMax_27508') ).
cnf(eq_3,plain,
join(X,meet(x102,join(X,Y))) = meet(join(X,Y),join(x102,X)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_4,plain,
join(meet(x100,join(X,Y)),X) = meet(join(X,Y),join(X,x100)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_5,plain,
meet(meet(X,Y),meet(Y,join(Z,X))) = meet(X,Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_6,plain,
join(meet(X,join(Y,Z)),Y) = meet(join(Y,Z),join(Y,X)),
eq_4 ).
cnf(eq_7,plain,
join(X,meet(Y,join(X,Z))) = meet(join(X,Z),join(Y,X)),
eq_3 ).
cnf(eq_8,plain,
X = join(meet(Y,X),meet(X,X)),
inference(cp,[status(thm)],[eq_0,eq_1]) ).
cnf(eq_9,plain,
join(Y,x101) = join(Y,meet(join(Y,x101),join(Y,x101))),
inference(cp,[status(thm)],[eq_0,eq_7]) ).
cnf(eq_10,plain,
meet(meet(Y,X),X) = meet(Y,X),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_11,plain,
meet(X,Y) = meet(meet(X,Y),Y),
eq_10 ).
cnf(eq_12,plain,
join(X,Y) = join(X,meet(join(X,Y),join(X,Y))),
eq_9 ).
cnf(eq_13,plain,
join(X,Y) = join(X,join(meet(Y,join(X,Y)),X)),
inference(rw,[status(thm)],[eq_12,eq_6]) ).
cnf(eq_14,plain,
join(meet(X,Y),meet(x102,Y)) = meet(Y,join(x102,meet(X,Y))),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_15,plain,
join(meet(x100,Y),meet(X,Y)) = meet(Y,join(meet(X,Y),x100)),
inference(cp,[status(thm)],[eq_11,eq_1]) ).
cnf(eq_16,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),Z)),
inference(rw,[status(thm)],[eq_15,eq_1]) ).
cnf(eq_17,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(Z,X))),
inference(rw,[status(thm)],[eq_14,eq_1]) ).
cnf(eq_18,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),meet(Z,X))),
inference(cp,[status(thm)],[eq_16,eq_17]) ).
cnf(eq_19,plain,
meet(X,join(Y,Z)) = meet(X,meet(X,join(Z,Y))),
inference(rw,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_20,plain,
meet(X,X) = meet(X,join(Y,X)),
inference(cp,[status(thm)],[eq_0,eq_19]) ).
cnf(eq_21,plain,
meet(Y,Y) = Y,
inference(cp,[status(thm)],[eq_20,eq_0]) ).
cnf(eq_22,plain,
X = meet(X,X),
eq_21 ).
cnf(eq_23,plain,
meet(X,join(Y,X)) = X,
inference(rw,[status(thm)],[eq_20,eq_22]) ).
cnf(eq_24,plain,
join(X,Y) = join(X,join(Y,X)),
inference(rw,[status(thm)],[eq_13,eq_23]) ).
cnf(eq_25,plain,
X = join(meet(Y,X),X),
inference(rw,[status(thm)],[eq_8,eq_22]) ).
cnf(eq_26,plain,
join(X,meet(x102,X)) = meet(X,join(x102,X)),
inference(cp,[status(thm)],[eq_22,eq_1]) ).
cnf(eq_27,plain,
X = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_26,eq_23]) ).
cnf(eq_28,plain,
join(X,X) = X,
inference(cp,[status(thm)],[eq_22,eq_27]) ).
cnf(eq_29,negated_conjecture,
join(a,join(meet(a,b),a)) != a,
inference(cp,[status(thm)],[eq_24,eq_2]) ).
cnf(eq_30,plain,
meet(Y,join(Z,Z)) = meet(Z,Y),
inference(cp,[status(thm)],[eq_1,eq_28]) ).
cnf(eq_31,plain,
meet(X,Y) = meet(Y,X),
inference(rw,[status(thm)],[eq_30,eq_28]) ).
cnf(eq_32,negated_conjecture,
join(a,join(meet(b,a),a)) != a,
inference(cp,[status(thm)],[eq_31,eq_29]) ).
cnf(eq_33,negated_conjecture,
a != a,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_25]),eq_28]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.13/0.33 % Computer : n005.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 05:12:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.50/0.70 % SZS status Unsatisfiable
% 0.50/0.70 % SZS output start CNFRefutation for /tmp/MaedMax_27508
% See solution above
% 0.50/0.70
%------------------------------------------------------------------------------