TSTP Solution File: LAT164-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT164-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 07:05:40 EDT 2022
% Result : Unsatisfiable 113.29s 113.56s
% Output : CNFRefutation 113.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 33 ( 33 unt; 0 nHn; 5 RR)
% Number of literals : 33 ( 32 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 72 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_14579') ).
cnf(eq_1,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_14579') ).
cnf(eq_2,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_14579') ).
cnf(eq_3,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_14579') ).
cnf(eq_4,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_14579') ).
cnf(eq_5,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_14579') ).
cnf(eq_6,axiom,
meet(X,join(Y,meet(Z,join(Y,U)))) = meet(X,join(Y,meet(Z,join(U,meet(X,Y))))),
file('/tmp/MaedMax_14579') ).
cnf(eq_7,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_14579') ).
cnf(eq_8,negated_conjecture,
meet(a,join(meet(c,join(b,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)],[eq_7,eq_2]),eq_3]),eq_3]),eq_2]) ).
cnf(eq_9,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_3,eq_0]) ).
cnf(eq_10,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_2,eq_4]) ).
cnf(eq_11,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_2,eq_1]) ).
cnf(eq_12,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_13,plain,
meet(X,join(Y,meet(x102,X))) = meet(X,join(Y,meet(x102,join(Y,X)))),
inference(cp,[status(thm)],[eq_1,eq_6]) ).
cnf(eq_14,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_1,eq_15]) ).
cnf(eq_15,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_12,eq_5]) ).
cnf(eq_16,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_14 ).
cnf(eq_17,plain,
meet(X,join(Y,meet(Z,X))) = meet(X,join(Y,meet(Z,join(Y,X)))),
eq_13 ).
cnf(eq_18,plain,
X = join(X,meet(Y,X)),
eq_11 ).
cnf(eq_19,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_10,eq_4]) ).
cnf(eq_20,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_9,eq_19]) ).
cnf(eq_21,plain,
meet(X,meet(Y,join(x101,meet(X,Y)))) = meet(X,Y),
inference(cp,[status(thm)],[eq_4,eq_9]) ).
cnf(eq_22,plain,
join(Y,join(x101,meet(X,Y))) = join(x101,Y),
inference(cp,[status(thm)],[eq_2,eq_16]) ).
cnf(eq_23,plain,
meet(X,Y) = meet(X,meet(Y,join(Z,meet(X,Y)))),
eq_21 ).
cnf(eq_24,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_20 ).
cnf(eq_25,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_22 ).
cnf(eq_26,plain,
join(meet(X,join(Z,Y)),meet(X,Y)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_24,eq_18]) ).
cnf(eq_27,plain,
meet(join(X,meet(Z,Y)),meet(x101,join(X,Y))) = meet(x101,join(X,meet(Z,Y))),
inference(cp,[status(thm)],[eq_25,eq_24]) ).
cnf(eq_28,plain,
meet(X,join(Y,meet(Z,U))) = meet(join(Y,meet(Z,U)),meet(X,join(Y,U))),
eq_27 ).
cnf(eq_29,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[eq_26,eq_3]) ).
cnf(eq_30,negated_conjecture,
meet(join(meet(c,join(b,a)),meet(a,join(b,meet(c,a)))),meet(a,join(meet(c,join(b,a)),join(b,meet(c,a))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_28,eq_8]) ).
cnf(eq_31,negated_conjecture,
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)],[eq_30,eq_15]),eq_3]),eq_29]),eq_17]),eq_19]),eq_2]),eq_23]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT164-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 05:19:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 113.29/113.56 % SZS status Unsatisfiable
% 113.29/113.56 % SZS output start CNFRefutation for /tmp/MaedMax_14579
% See solution above
% 113.29/113.56
%------------------------------------------------------------------------------