TSTP Solution File: LAT006-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 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 07:05:23 EDT 2022
% Result : Unsatisfiable 2.13s 2.32s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 43 ( 43 unt; 0 nHn; 9 RR)
% Number of literals : 43 ( 42 equ; 8 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 78 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_8579') ).
cnf(eq_1,axiom,
join(meet(X,Y),meet(Z,Y)) = meet(Y,join(Z,X)),
file('/tmp/MaedMax_8579') ).
cnf(eq_2,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/tmp/MaedMax_8579') ).
cnf(eq_3,plain,
meet(meet(X,Y),meet(Y,join(Z,X))) = meet(X,Y),
inference(cp,[status(thm)],[eq_1,eq_0]) ).
cnf(eq_4,plain,
meet(meet(Y,X),X) = meet(Y,X),
inference(cp,[status(thm)],[eq_0,eq_3]) ).
cnf(eq_5,plain,
meet(meet(meet(Z,Y),x101),meet(x101,meet(Y,join(Z,X)))) = meet(meet(Z,Y),x101),
inference(cp,[status(thm)],[eq_1,eq_3]) ).
cnf(eq_6,plain,
meet(meet(X,Y),Z) = meet(meet(meet(X,Y),Z),meet(Z,meet(Y,join(X,x3)))),
eq_5 ).
cnf(eq_7,plain,
meet(X,Y) = meet(meet(X,Y),Y),
eq_4 ).
cnf(eq_8,plain,
join(meet(X,Y),meet(x102,Y)) = meet(Y,join(x102,meet(X,Y))),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_9,plain,
join(meet(x100,Y),meet(X,Y)) = meet(Y,join(meet(X,Y),x100)),
inference(cp,[status(thm)],[eq_7,eq_1]) ).
cnf(eq_10,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),Z)),
inference(rw,[status(thm)],[eq_9,eq_1]) ).
cnf(eq_11,plain,
meet(X,join(Y,Z)) = meet(X,join(Y,meet(Z,X))),
inference(rw,[status(thm)],[eq_8,eq_1]) ).
cnf(eq_12,plain,
meet(X,join(Y,Z)) = meet(X,join(meet(Y,X),meet(Z,X))),
inference(cp,[status(thm)],[eq_10,eq_11]) ).
cnf(eq_13,plain,
meet(X,join(Y,Z)) = meet(X,meet(X,join(Z,Y))),
inference(rw,[status(thm)],[eq_12,eq_1]) ).
cnf(eq_14,plain,
meet(X,X) = meet(X,join(Y,X)),
inference(cp,[status(thm)],[eq_0,eq_13]) ).
cnf(eq_15,plain,
meet(Y,Y) = Y,
inference(cp,[status(thm)],[eq_14,eq_0]) ).
cnf(eq_16,plain,
X = meet(X,X),
eq_15 ).
cnf(eq_17,plain,
meet(X,join(Y,X)) = X,
inference(rw,[status(thm)],[eq_14,eq_16]) ).
cnf(eq_18,plain,
join(X,meet(x102,X)) = meet(X,join(x102,X)),
inference(cp,[status(thm)],[eq_16,eq_1]) ).
cnf(eq_19,plain,
X = join(X,meet(Y,X)),
inference(rw,[status(thm)],[eq_18,eq_17]) ).
cnf(eq_20,plain,
join(X,X) = X,
inference(cp,[status(thm)],[eq_16,eq_19]) ).
cnf(eq_21,plain,
meet(Y,join(Z,Z)) = meet(Z,Y),
inference(cp,[status(thm)],[eq_1,eq_20]) ).
cnf(eq_22,plain,
meet(X,Y) = meet(Y,X),
inference(rw,[status(thm)],[eq_21,eq_20]) ).
cnf(eq_23,plain,
join(Y,meet(Y,X)) = Y,
inference(cp,[status(thm)],[eq_22,eq_19]) ).
cnf(eq_24,plain,
join(meet(Y,X),meet(x102,Y)) = meet(Y,join(x102,X)),
inference(cp,[status(thm)],[eq_22,eq_1]) ).
cnf(eq_25,plain,
X = join(X,meet(X,Y)),
eq_23 ).
cnf(eq_26,plain,
join(meet(X,Y),meet(Z,X)) = meet(X,join(Z,Y)),
eq_24 ).
cnf(eq_27,negated_conjecture,
meet(meet(b,c),a) != meet(meet(a,b),c),
inference(cp,[status(thm)],[eq_22,eq_2]) ).
cnf(eq_28,plain,
join(meet(meet(X,Y),Z),meet(meet(X,Y),Z)) = meet(meet(X,Y),Z),
inference(cp,[status(thm)],[eq_6,eq_25]) ).
cnf(eq_29,plain,
meet(X,meet(Y,Z)) = meet(meet(Z,Y),X),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_28,eq_1]),eq_1]),eq_20]) ).
cnf(eq_30,negated_conjecture,
meet(meet(c,b),a) != meet(meet(a,b),c),
inference(cp,[status(thm)],[eq_22,eq_27]) ).
cnf(eq_31,negated_conjecture,
meet(meet(a,b),c) != meet(meet(c,b),a),
eq_30 ).
cnf(eq_32,plain,
join(X,meet(Y,X)) = meet(X,join(Y,X)),
eq_18 ).
cnf(eq_33,plain,
join(meet(X,Y),meet(Z,X)) = meet(join(Z,Y),X),
inference(cp,[status(thm)],[eq_26,eq_22]) ).
cnf(eq_34,plain,
meet(x100,meet(X,join(Y,X))) = meet(x100,join(meet(X,x100),meet(Y,X))),
inference(cp,[status(thm)],[eq_32,eq_10]) ).
cnf(eq_35,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_34,eq_17]),eq_33]) ).
cnf(eq_36,plain,
meet(meet(Y,X),meet(meet(X,join(Y,X)),x102)) = meet(meet(Y,X),x102),
inference(cp,[status(thm)],[eq_32,eq_35]) ).
cnf(eq_37,plain,
meet(meet(X,Y),Z) = meet(meet(X,Y),meet(Y,Z)),
inference(rw,[status(thm)],[eq_36,eq_17]) ).
cnf(eq_38,negated_conjecture,
meet(meet(a,b),meet(b,c)) != meet(meet(c,b),a),
inference(cp,[status(thm)],[eq_37,eq_31]) ).
cnf(eq_39,negated_conjecture,
meet(meet(a,b),meet(c,b)) != meet(meet(c,b),a),
inference(cp,[status(thm)],[eq_22,eq_38]) ).
cnf(eq_40,negated_conjecture,
meet(meet(c,b),meet(b,a)) != meet(meet(c,b),a),
inference(cp,[status(thm)],[eq_29,eq_39]) ).
cnf(eq_41,negated_conjecture,
meet(meet(c,b),a) != meet(meet(c,b),a),
inference(rw,[status(thm)],[eq_40,eq_37]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LAT006-1 : TPTP v8.1.0. Released v2.2.0.
% 0.08/0.13 % Command : run_maedmax %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 26 05:19:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 2.13/2.32 % SZS status Unsatisfiable
% 2.13/2.32 % SZS output start CNFRefutation for /tmp/MaedMax_8579
% See solution above
% 2.13/2.32
%------------------------------------------------------------------------------