TSTP Solution File: LAT143-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 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 07:05:37 EDT 2022
% Result : Unsatisfiable 83.32s 83.53s
% Output : CNFRefutation 83.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 10 RR)
% Number of literals : 54 ( 53 equ; 8 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 19 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_8484') ).
cnf(eq_1,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_8484') ).
cnf(eq_2,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_8484') ).
cnf(eq_3,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_8484') ).
cnf(eq_4,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_8484') ).
cnf(eq_5,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_8484') ).
cnf(eq_6,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_8484') ).
cnf(eq_7,axiom,
join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))),
file('/tmp/MaedMax_8484') ).
cnf(eq_8,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
file('/tmp/MaedMax_8484') ).
cnf(eq_9,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_10,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_11,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_12,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_13,plain,
join(meet(x100,x101),meet(x101,join(meet(x102,join(x100,x101)),meet(x100,x101)))) = join(meet(x100,x101),meet(x101,x102)),
inference(cp,[status(thm)],[eq_4,eq_7]) ).
cnf(eq_14,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_15,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_2,eq_6]) ).
cnf(eq_16,plain,
meet(x100,X) = meet(X,meet(x100,join(X,Y))),
inference(cp,[status(thm)],[eq_1,eq_23]) ).
cnf(eq_17,plain,
meet(X,Y) = meet(Y,meet(X,join(Y,Z))),
eq_16 ).
cnf(eq_18,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_15 ).
cnf(eq_19,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_14,eq_6]) ).
cnf(eq_20,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_11 ).
cnf(eq_21,plain,
join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(Z,join(X,Y)),meet(X,Y)))),
eq_13 ).
cnf(eq_22,plain,
X = join(X,meet(Y,X)),
eq_12 ).
cnf(eq_23,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_24,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_3,eq_20]) ).
cnf(eq_25,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_9,eq_23]) ).
cnf(eq_26,plain,
join(X,Y) = join(join(meet(X,Z),Y),X),
inference(cp,[status(thm)],[eq_18,eq_4]) ).
cnf(eq_27,plain,
join(X,join(Y,meet(x101,join(X,Y)))) = join(X,Y),
inference(cp,[status(thm)],[eq_6,eq_22]) ).
cnf(eq_28,plain,
join(x100,X) = join(X,join(x100,meet(Y,X))),
inference(cp,[status(thm)],[eq_22,eq_19]) ).
cnf(eq_29,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_24 ).
cnf(eq_30,plain,
join(X,Y) = join(meet(X,Z),join(Y,X)),
inference(rw,[status(thm)],[eq_26,eq_6]) ).
cnf(eq_31,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_25 ).
cnf(eq_32,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_28 ).
cnf(eq_33,plain,
join(X,Y) = join(X,join(Y,meet(Z,join(X,Y)))),
eq_27 ).
cnf(eq_34,plain,
join(meet(Y,X),meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_29,eq_22]) ).
cnf(eq_35,plain,
meet(X,Y) = join(meet(X,Y),meet(Y,X)),
eq_34 ).
cnf(eq_36,plain,
join(meet(X,join(Z,Y)),meet(X,Y)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_31,eq_22]) ).
cnf(eq_37,plain,
join(meet(X,join(Y,Z)),join(x101,meet(X,Y))) = join(x101,meet(X,join(Y,Z))),
inference(cp,[status(thm)],[eq_17,eq_32]) ).
cnf(eq_38,plain,
join(meet(X,Y),join(x102,Y)) = join(Y,x102),
inference(cp,[status(thm)],[eq_3,eq_30]) ).
cnf(eq_39,plain,
join(X,Y) = join(meet(Z,X),join(Y,X)),
eq_38 ).
cnf(eq_40,plain,
join(X,meet(Y,join(Z,x3))) = join(meet(Y,join(Z,x3)),join(X,meet(Y,Z))),
eq_37 ).
cnf(eq_41,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[eq_36,eq_4]) ).
cnf(eq_42,plain,
join(meet(x100,meet(Y,X)),meet(X,Y)) = join(meet(Y,X),meet(X,Y)),
inference(cp,[status(thm)],[eq_35,eq_39]) ).
cnf(eq_43,plain,
meet(X,Y) = join(meet(Z,meet(X,Y)),meet(Y,X)),
inference(rw,[status(thm)],[eq_42,eq_35]) ).
cnf(eq_44,plain,
join(meet(X,Y),meet(join(Z,Y),X)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_31,eq_43]) ).
cnf(eq_45,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(join(Y,Z),X)),
eq_44 ).
cnf(eq_46,negated_conjecture,
meet(a,join(meet(c,join(b,a)),meet(b,a))) != meet(a,join(meet(c,a),meet(b,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)],[inference(rw,[status(thm)],[eq_8,eq_3]),eq_3]),eq_4]),eq_3]),eq_3]),eq_4]),eq_41]),eq_4]) ).
cnf(eq_47,negated_conjecture,
join(meet(a,meet(b,a)),meet(join(meet(c,join(b,a)),meet(b,a)),a)) != meet(a,join(meet(c,a),meet(b,a))),
inference(cp,[status(thm)],[eq_45,eq_46]) ).
cnf(eq_48,negated_conjecture,
meet(a,join(meet(c,a),meet(b,a))) != join(meet(c,a),meet(b,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)],[eq_47,eq_29]),eq_3]),eq_3]),eq_21]),eq_3]),eq_4]) ).
cnf(eq_49,negated_conjecture,
join(meet(a,meet(b,a)),meet(join(meet(c,a),meet(b,a)),a)) != join(meet(c,a),meet(b,a)),
inference(cp,[status(thm)],[eq_45,eq_48]) ).
cnf(eq_50,negated_conjecture,
join(meet(b,a),meet(a,join(meet(c,a),meet(b,a)))) != join(meet(c,a),meet(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_49,eq_29]),eq_3]),eq_3]) ).
cnf(eq_51,negated_conjecture,
join(meet(a,join(meet(c,a),meet(b,a))),join(meet(b,a),meet(a,meet(c,a)))) != join(meet(c,a),meet(b,a)),
inference(cp,[status(thm)],[eq_40,eq_50]) ).
cnf(eq_52,negated_conjecture,
join(meet(c,a),meet(b,a)) != join(meet(c,a),meet(b,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)],[eq_51,eq_29]),eq_3]),eq_4]),eq_19]),eq_4]),eq_33]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % 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 05:06:51 EDT 2022
% 0.13/0.34 % CPUTime :
% 83.32/83.53 % SZS status Unsatisfiable
% 83.32/83.53 % SZS output start CNFRefutation for /tmp/MaedMax_8484
% See solution above
% 83.32/83.53
%------------------------------------------------------------------------------