TSTP Solution File: LAT028-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n029.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 1.92s 2.11s
% Output : CNFRefutation 1.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 6 RR)
% Number of literals : 38 ( 37 equ; 2 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 69 ( 22 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_17370') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_17370') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_17370') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_17370') ).
cnf(eq_4,axiom,
X = meet(meet(join(Y,X),join(Z,X)),X),
file('/tmp/MaedMax_17370') ).
cnf(eq_5,axiom,
X = join(join(meet(Y,X),meet(Z,X)),X),
file('/tmp/MaedMax_17370') ).
cnf(eq_6,axiom,
meet2(X,Y) = meet2(Y,X),
file('/tmp/MaedMax_17370') ).
cnf(eq_7,axiom,
X = meet2(meet2(join(Y,X),join(Z,X)),X),
file('/tmp/MaedMax_17370') ).
cnf(eq_8,axiom,
X = join(join(meet2(Y,X),meet2(Z,X)),X),
file('/tmp/MaedMax_17370') ).
cnf(eq_9,negated_conjecture,
meet(a,b) != meet2(a,b),
file('/tmp/MaedMax_17370') ).
cnf(eq_10,plain,
meet(join(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_0,eq_4]) ).
cnf(eq_11,plain,
join(meet(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_1,eq_5]) ).
cnf(eq_12,plain,
join(meet2(x100,x101),x101) = x101,
inference(cp,[status(thm)],[eq_1,eq_8]) ).
cnf(eq_13,plain,
X = meet2(X,meet2(join(Y,X),join(Z,X))),
inference(cp,[status(thm)],[eq_7,eq_6]) ).
cnf(eq_14,plain,
X = meet(join(Y,X),X),
eq_10 ).
cnf(eq_15,plain,
X = join(meet2(Y,X),X),
eq_12 ).
cnf(eq_16,plain,
X = join(meet(Y,X),X),
eq_11 ).
cnf(eq_17,plain,
meet(join(Y,X),Y) = Y,
inference(cp,[status(thm)],[eq_3,eq_14]) ).
cnf(eq_18,plain,
X = join(X,meet(Y,X)),
inference(cp,[status(thm)],[eq_16,eq_3]) ).
cnf(eq_19,plain,
X = join(X,meet2(Y,X)),
inference(cp,[status(thm)],[eq_15,eq_3]) ).
cnf(eq_20,plain,
X = meet(join(X,Y),X),
eq_17 ).
cnf(eq_21,plain,
meet(meet(join(x100,meet2(Y,X)),X),meet2(Y,X)) = meet2(Y,X),
inference(cp,[status(thm)],[eq_19,eq_4]) ).
cnf(eq_22,plain,
join(X,meet(X,Y)) = X,
inference(cp,[status(thm)],[eq_2,eq_18]) ).
cnf(eq_23,plain,
join(X,meet2(X,Y)) = X,
inference(cp,[status(thm)],[eq_6,eq_19]) ).
cnf(eq_24,plain,
meet(meet(join(X,meet2(Y,Z)),Z),meet2(Y,Z)) = meet2(Y,Z),
eq_21 ).
cnf(eq_25,plain,
X = meet(X,join(X,Y)),
inference(cp,[status(thm)],[eq_20,eq_2]) ).
cnf(eq_26,plain,
meet(meet2(Y,X),X) = meet2(Y,X),
inference(cp,[status(thm)],[eq_15,eq_25]) ).
cnf(eq_27,plain,
meet(meet2(X,Y),Y) = meet2(X,Y),
eq_26 ).
cnf(eq_28,plain,
meet2(meet(X,Y),meet2(X,join(x102,meet(X,Y)))) = meet(X,Y),
inference(cp,[status(thm)],[eq_22,eq_13]) ).
cnf(eq_29,plain,
meet(X,Y) = meet2(meet(X,Y),meet2(X,join(Z,meet(X,Y)))),
eq_28 ).
cnf(eq_30,plain,
meet(meet(X,Y),meet2(X,Y)) = meet2(X,Y),
inference(cp,[status(thm)],[eq_23,eq_24]) ).
cnf(eq_31,plain,
meet2(meet(Y,X),meet2(Y,X)) = meet(Y,X),
inference(cp,[status(thm)],[eq_18,eq_29]) ).
cnf(eq_32,plain,
meet(X,Y) = meet2(meet(X,Y),meet2(X,Y)),
eq_31 ).
cnf(eq_33,plain,
meet(meet(X,Y),meet2(X,Y)) = meet2(meet(X,Y),meet2(X,Y)),
inference(cp,[status(thm)],[eq_32,eq_27]) ).
cnf(eq_34,plain,
meet(X,Y) = meet(meet(X,Y),meet2(X,Y)),
inference(rw,[status(thm)],[eq_33,eq_32]) ).
cnf(eq_35,plain,
meet(X,Y) = meet2(X,Y),
inference(rw,[status(thm)],[eq_30,eq_34]) ).
cnf(eq_36,negated_conjecture,
meet(a,b) != meet(a,b),
inference(cp,[status(thm)],[eq_35,eq_9]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n029.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 05:19:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.92/2.11 % SZS status Unsatisfiable
% 1.92/2.11 % SZS output start CNFRefutation for /tmp/MaedMax_17370
% See solution above
% 1.92/2.11
%------------------------------------------------------------------------------