%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : GRP171-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n010.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 07:02:17 EDT 2022
% Result : Unsatisfiable 0.76s 0.96s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 8 RR)
% Number of literals : 25 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = multiply(identity,X),
file('/tmp/MaedMax_4837') ).
cnf(eq_1,axiom,
greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
file('/tmp/MaedMax_4837') ).
cnf(eq_2,axiom,
least_upper_bound(X,Y) = least_upper_bound(Y,X),
file('/tmp/MaedMax_4837') ).
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_4837') ).
cnf(eq_4,axiom,
X = greatest_lower_bound(X,least_upper_bound(X,Y)),
file('/tmp/MaedMax_4837') ).
cnf(eq_5,axiom,
multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
file('/tmp/MaedMax_4837') ).
cnf(eq_6,axiom,
least_upper_bound(identity,a) = a,
file('/tmp/MaedMax_4837') ).
cnf(eq_7,axiom,
least_upper_bound(identity,b) = b,
file('/tmp/MaedMax_4837') ).
cnf(eq_8,negated_conjecture,
identity != greatest_lower_bound(identity,multiply(a,b)),
file('/tmp/MaedMax_4837') ).
cnf(eq_9,plain,
greatest_lower_bound(Y,least_upper_bound(X,least_upper_bound(Y,Z))) = Y,
inference(cp,[status(thm)],[eq_14,eq_4]) ).
cnf(eq_10,plain,
least_upper_bound(a,identity) = a,
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_11,plain,
least_upper_bound(multiply(x100,X),X) = multiply(least_upper_bound(x100,identity),X),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_12,plain,
least_upper_bound(least_upper_bound(Y,X),x102) = least_upper_bound(X,least_upper_bound(Y,x102)),
inference(cp,[status(thm)],[eq_2,eq_3]) ).
cnf(eq_13,plain,
least_upper_bound(b,x102) = least_upper_bound(identity,least_upper_bound(b,x102)),
inference(cp,[status(thm)],[eq_7,eq_3]) ).
cnf(eq_14,plain,
least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(Y,least_upper_bound(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_3]) ).
cnf(eq_15,plain,
least_upper_bound(b,X) = least_upper_bound(b,least_upper_bound(identity,X)),
inference(rw,[status(thm)],[eq_13,eq_14]) ).
cnf(eq_16,plain,
X = greatest_lower_bound(X,least_upper_bound(Y,least_upper_bound(X,Z))),
eq_9 ).
cnf(eq_17,plain,
multiply(least_upper_bound(X,identity),Y) = least_upper_bound(Y,multiply(X,Y)),
inference(rw,[status(thm)],[eq_11,eq_2]) ).
cnf(eq_18,plain,
greatest_lower_bound(identity,least_upper_bound(b,X)) = identity,
inference(cp,[status(thm)],[eq_15,eq_16]) ).
cnf(eq_19,plain,
identity = greatest_lower_bound(least_upper_bound(b,X),identity),
inference(cp,[status(thm)],[eq_18,eq_1]) ).
cnf(eq_20,plain,
greatest_lower_bound(multiply(least_upper_bound(X,identity),b),identity) = identity,
inference(cp,[status(thm)],[eq_17,eq_19]) ).
cnf(eq_21,plain,
identity = greatest_lower_bound(identity,multiply(least_upper_bound(X,identity),b)),
inference(rw,[status(thm)],[eq_20,eq_1]) ).
cnf(eq_22,plain,
greatest_lower_bound(identity,multiply(a,b)) = identity,
inference(cp,[status(thm)],[eq_10,eq_21]) ).
cnf(eq_23,negated_conjecture,
identity != identity,
inference(cp,[status(thm)],[eq_22,eq_8]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP171-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 26 04:01:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.96 % SZS status Unsatisfiable
% 0.76/0.96 % SZS output start CNFRefutation for /tmp/MaedMax_4837
% See solution above
% 0.76/0.96
%------------------------------------------------------------------------------