%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 07:02:12 EDT 2022
% Result : Unsatisfiable 6.61s 6.79s
% Output : CNFRefutation 6.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 10 RR)
% Number of literals : 26 ( 25 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
file('/tmp/MaedMax_2322') ).
cnf(eq_1,axiom,
least_upper_bound(X,Y) = least_upper_bound(Y,X),
file('/tmp/MaedMax_2322') ).
cnf(eq_2,axiom,
greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
file('/tmp/MaedMax_2322') ).
cnf(eq_3,axiom,
least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
file('/tmp/MaedMax_2322') ).
cnf(eq_4,axiom,
X = least_upper_bound(X,greatest_lower_bound(X,Y)),
file('/tmp/MaedMax_2322') ).
cnf(eq_5,axiom,
X = greatest_lower_bound(X,least_upper_bound(X,Y)),
file('/tmp/MaedMax_2322') ).
cnf(eq_6,axiom,
greatest_lower_bound(a,c) = a,
file('/tmp/MaedMax_2322') ).
cnf(eq_7,axiom,
greatest_lower_bound(b,c) = b,
file('/tmp/MaedMax_2322') ).
cnf(eq_8,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,b),c) != least_upper_bound(a,b),
file('/tmp/MaedMax_2322') ).
cnf(eq_9,plain,
greatest_lower_bound(X,least_upper_bound(Y,X)) = X,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_10,plain,
greatest_lower_bound(b,x102) = greatest_lower_bound(b,greatest_lower_bound(c,x102)),
inference(cp,[status(thm)],[eq_7,eq_2]) ).
cnf(eq_11,plain,
greatest_lower_bound(c,a) = a,
inference(cp,[status(thm)],[eq_0,eq_6]) ).
cnf(eq_12,plain,
least_upper_bound(Y,greatest_lower_bound(X,Y)) = Y,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_13,plain,
X = least_upper_bound(X,greatest_lower_bound(Y,X)),
eq_12 ).
cnf(eq_14,plain,
greatest_lower_bound(b,X) = greatest_lower_bound(b,greatest_lower_bound(c,X)),
eq_10 ).
cnf(eq_15,negated_conjecture,
greatest_lower_bound(c,least_upper_bound(a,b)) != least_upper_bound(a,b),
inference(cp,[status(thm)],[eq_0,eq_8]) ).
cnf(eq_16,plain,
least_upper_bound(c,a) = c,
inference(cp,[status(thm)],[eq_11,eq_4]) ).
cnf(eq_17,plain,
greatest_lower_bound(b,c) = greatest_lower_bound(b,least_upper_bound(c,Y)),
inference(cp,[status(thm)],[eq_5,eq_14]) ).
cnf(eq_18,plain,
greatest_lower_bound(b,least_upper_bound(c,X)) = b,
inference(rw,[status(thm)],[eq_17,eq_7]) ).
cnf(eq_19,plain,
least_upper_bound(least_upper_bound(c,X),b) = least_upper_bound(c,X),
inference(cp,[status(thm)],[eq_18,eq_13]) ).
cnf(eq_20,plain,
least_upper_bound(c,X) = least_upper_bound(c,least_upper_bound(X,b)),
inference(rw,[status(thm)],[eq_19,eq_3]) ).
cnf(eq_21,plain,
greatest_lower_bound(least_upper_bound(X,b),least_upper_bound(c,X)) = least_upper_bound(X,b),
inference(cp,[status(thm)],[eq_20,eq_9]) ).
cnf(eq_22,plain,
greatest_lower_bound(least_upper_bound(c,X),least_upper_bound(X,b)) = least_upper_bound(X,b),
inference(rw,[status(thm)],[eq_21,eq_0]) ).
cnf(eq_23,plain,
greatest_lower_bound(c,least_upper_bound(a,b)) = least_upper_bound(a,b),
inference(cp,[status(thm)],[eq_16,eq_22]) ).
cnf(eq_24,negated_conjecture,
least_upper_bound(a,b) != least_upper_bound(a,b),
inference(cp,[status(thm)],[eq_23,eq_15]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP147-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 26 04:10:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.61/6.79 % SZS status Unsatisfiable
% 6.61/6.79 % SZS output start CNFRefutation for /tmp/MaedMax_2322
% See solution above
% 6.61/6.79
%------------------------------------------------------------------------------