TSTP Solution File: LAT144-1 by MaedMax---1.4
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%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT144-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n005.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 07:05:38 EDT 2022
% Result : Unsatisfiable 100.66s 100.87s
% Output : CNFRefutation 100.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of clauses : 55 ( 55 unt; 0 nHn; 9 RR)
% Number of literals : 55 ( 54 equ; 8 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 121 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_20822') ).
cnf(eq_1,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_20822') ).
cnf(eq_2,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_20822') ).
cnf(eq_3,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_20822') ).
cnf(eq_4,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_20822') ).
cnf(eq_5,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_20822') ).
cnf(eq_6,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_20822') ).
cnf(eq_7,axiom,
meet(X,join(Y,meet(X,meet(Z,U)))) = meet(X,join(Y,meet(Z,join(meet(X,U),meet(Y,U))))),
file('/tmp/MaedMax_20822') ).
cnf(eq_8,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/tmp/MaedMax_20822') ).
cnf(eq_9,negated_conjecture,
meet(a,join(b,meet(c,join(meet(c,b),meet(join(c,b),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)],[eq_8,eq_3]),eq_4]),eq_3]),eq_3]),eq_4]) ).
cnf(eq_10,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_4,eq_1]) ).
cnf(eq_11,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_3,eq_5]) ).
cnf(eq_12,plain,
meet(X,x102) = meet(X,meet(X,x102)),
inference(cp,[status(thm)],[eq_0,eq_5]) ).
cnf(eq_13,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_3,eq_2]) ).
cnf(eq_14,plain,
join(X,meet(Y,meet(X,Z))) = X,
inference(cp,[status(thm)],[eq_21,eq_2]) ).
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,join(X,meet(x102,join(meet(x100,join(X,Y)),X)))) = meet(x100,join(X,meet(x100,meet(x102,join(X,Y))))),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_17,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_15 ).
cnf(eq_18,plain,
meet(X,Y) = meet(X,meet(X,Y)),
eq_12 ).
cnf(eq_19,plain,
meet(X,join(Y,meet(X,meet(Z,join(Y,U))))) = meet(X,join(Y,meet(Z,join(Y,meet(X,join(Y,U)))))),
inference(rw,[status(thm)],[eq_16,eq_4]) ).
cnf(eq_20,plain,
X = join(X,meet(Y,X)),
eq_13 ).
cnf(eq_21,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_11,eq_5]) ).
cnf(eq_22,plain,
meet(X,x102) = meet(X,meet(join(Y,X),x102)),
inference(cp,[status(thm)],[eq_10,eq_5]) ).
cnf(eq_23,plain,
meet(Y,meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_3,eq_18]) ).
cnf(eq_24,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_10,eq_21]) ).
cnf(eq_25,plain,
meet(Z,join(X,join(Y,Z))) = Z,
inference(cp,[status(thm)],[eq_6,eq_10]) ).
cnf(eq_26,plain,
join(X,join(Y,meet(x101,meet(join(X,Y),x102)))) = join(X,Y),
inference(cp,[status(thm)],[eq_6,eq_14]) ).
cnf(eq_27,plain,
join(Y,join(meet(X,Y),x102)) = join(Y,x102),
inference(cp,[status(thm)],[eq_3,eq_17]) ).
cnf(eq_28,plain,
X = meet(X,join(Y,join(Z,X))),
eq_25 ).
cnf(eq_29,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_27 ).
cnf(eq_30,plain,
meet(X,Y) = meet(X,meet(Y,X)),
eq_23 ).
cnf(eq_31,plain,
meet(X,Y) = meet(X,meet(join(Z,X),Y)),
eq_22 ).
cnf(eq_32,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_24 ).
cnf(eq_33,plain,
join(X,Y) = join(X,join(Y,meet(Z,meet(join(X,Y),U)))),
eq_26 ).
cnf(eq_34,plain,
join(meet(Y,X),meet(X,Y)) = meet(Y,X),
inference(cp,[status(thm)],[eq_30,eq_20]) ).
cnf(eq_35,plain,
meet(X,Y) = join(meet(X,Y),meet(Y,X)),
eq_34 ).
cnf(eq_36,plain,
meet(Z,meet(x101,join(X,join(Y,Z)))) = meet(x101,Z),
inference(cp,[status(thm)],[eq_6,eq_32]) ).
cnf(eq_37,plain,
meet(join(meet(X,Z),Y),meet(x101,join(X,Y))) = meet(x101,join(meet(X,Z),Y)),
inference(cp,[status(thm)],[eq_17,eq_32]) ).
cnf(eq_38,plain,
join(X,Y) = join(join(meet(Z,X),Y),X),
inference(cp,[status(thm)],[eq_29,eq_4]) ).
cnf(eq_39,plain,
meet(X,join(meet(Y,Z),U)) = meet(join(meet(Y,Z),U),meet(X,join(Y,U))),
eq_37 ).
cnf(eq_40,plain,
join(X,Y) = join(meet(Z,X),join(Y,X)),
inference(rw,[status(thm)],[eq_38,eq_6]) ).
cnf(eq_41,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,join(U,Y)))),
eq_36 ).
cnf(eq_42,negated_conjecture,
meet(a,meet(join(Z,a),join(b,meet(c,join(meet(c,b),meet(join(c,b),a)))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_31,eq_9]) ).
cnf(eq_43,negated_conjecture,
meet(a,meet(join(X,a),join(b,meet(c,join(meet(c,b),meet(join(c,b),a)))))) != meet(a,join(b,meet(c,a))),
eq_42 ).
cnf(eq_44,plain,
join(meet(x100,meet(Y,X)),meet(X,Y)) = join(meet(Y,X),meet(X,Y)),
inference(cp,[status(thm)],[eq_35,eq_40]) ).
cnf(eq_45,plain,
meet(X,Y) = join(meet(Z,meet(X,Y)),meet(Y,X)),
inference(rw,[status(thm)],[eq_44,eq_35]) ).
cnf(eq_46,plain,
join(meet(X,Y),meet(join(Z,Y),X)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_32,eq_45]) ).
cnf(eq_47,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(join(Y,Z),X)),
eq_46 ).
cnf(eq_48,plain,
meet(X,join(Y,meet(x102,join(Y,X)))) = meet(X,join(Y,meet(X,meet(x102,join(Y,join(Z,X)))))),
inference(cp,[status(thm)],[eq_28,eq_19]) ).
cnf(eq_49,plain,
meet(X,join(Y,meet(Z,X))) = meet(X,join(Y,meet(Z,join(Y,X)))),
inference(rw,[status(thm)],[eq_48,eq_41]) ).
cnf(eq_50,negated_conjecture,
meet(a,meet(join(x100,a),join(b,join(meet(c,meet(join(c,b),a)),meet(join(meet(c,b),meet(join(c,b),a)),c))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_47,eq_43]) ).
cnf(eq_51,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,join(meet(a,c),meet(c,join(meet(b,c),meet(a,join(b,c))))))),
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)],[inference(rw,[status(thm)],[eq_50,eq_4]),eq_3]),eq_4]),eq_3]),eq_3]),eq_32]),eq_3]),eq_31]),eq_3]) ).
cnf(eq_52,negated_conjecture,
meet(a,join(b,join(meet(a,c),meet(join(meet(b,c),meet(a,join(b,c))),meet(c,join(b,meet(a,join(b,c)))))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_39,eq_51]) ).
cnf(eq_53,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_52,eq_49]),eq_21]),eq_3]),eq_33]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LAT144-1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n005.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 05:09:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 100.66/100.87 % SZS status Unsatisfiable
% 100.66/100.87 % SZS output start CNFRefutation for /tmp/MaedMax_20822
% See solution above
% 100.66/100.87
%------------------------------------------------------------------------------