TSTP Solution File: LAT156-1 by MaedMax---1.4
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- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n026.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 07:05:39 EDT 2022
% Result : Unsatisfiable 61.50s 61.72s
% Output : CNFRefutation 61.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of clauses : 64 ( 64 unt; 0 nHn; 11 RR)
% Number of literals : 64 ( 63 equ; 9 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 134 ( 31 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
X = meet(X,X),
file('/tmp/MaedMax_17769') ).
cnf(eq_1,axiom,
X = join(X,X),
file('/tmp/MaedMax_17769') ).
cnf(eq_2,axiom,
X = meet(X,join(X,Y)),
file('/tmp/MaedMax_17769') ).
cnf(eq_3,axiom,
X = join(X,meet(X,Y)),
file('/tmp/MaedMax_17769') ).
cnf(eq_4,axiom,
meet(X,Y) = meet(Y,X),
file('/tmp/MaedMax_17769') ).
cnf(eq_5,axiom,
join(X,Y) = join(Y,X),
file('/tmp/MaedMax_17769') ).
cnf(eq_6,axiom,
meet(X,meet(Y,Z)) = meet(meet(X,Y),Z),
file('/tmp/MaedMax_17769') ).
cnf(eq_7,axiom,
join(X,join(Y,Z)) = join(join(X,Y),Z),
file('/tmp/MaedMax_17769') ).
cnf(eq_8,axiom,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(X,Z),meet(Z,join(Y,U))))),
file('/tmp/MaedMax_17769') ).
cnf(eq_9,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_17769') ).
cnf(eq_10,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_9,eq_4]),eq_5]),eq_5]),eq_4]) ).
cnf(eq_11,plain,
meet(X,join(Y,join(X,Z))) = X,
inference(cp,[status(thm)],[eq_26,eq_2]) ).
cnf(eq_12,plain,
meet(X,join(Y,X)) = X,
inference(cp,[status(thm)],[eq_5,eq_2]) ).
cnf(eq_13,plain,
meet(x100,join(join(meet(x100,x102),meet(x102,join(X,x103))),X)) = meet(x100,join(X,meet(x102,join(x100,x103)))),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_14,plain,
meet(x100,join(x101,join(meet(x102,join(x101,x103)),meet(x100,x102)))) = meet(x100,join(x101,meet(x102,join(x100,x103)))),
inference(cp,[status(thm)],[eq_5,eq_8]) ).
cnf(eq_15,plain,
meet(meet(X,Y),x102) = meet(Y,meet(X,x102)),
inference(cp,[status(thm)],[eq_4,eq_6]) ).
cnf(eq_16,plain,
join(Y,meet(X,Y)) = Y,
inference(cp,[status(thm)],[eq_4,eq_3]) ).
cnf(eq_17,plain,
join(join(Y,X),x102) = join(X,join(Y,x102)),
inference(cp,[status(thm)],[eq_5,eq_7]) ).
cnf(eq_18,plain,
join(X,x102) = join(X,join(X,x102)),
inference(cp,[status(thm)],[eq_1,eq_7]) ).
cnf(eq_19,plain,
join(X,x102) = join(X,join(meet(X,Y),x102)),
inference(cp,[status(thm)],[eq_3,eq_7]) ).
cnf(eq_20,plain,
meet(x100,X) = meet(X,meet(x100,X)),
inference(cp,[status(thm)],[eq_0,eq_30]) ).
cnf(eq_21,plain,
join(x100,X) = join(X,join(x100,meet(X,Y))),
inference(cp,[status(thm)],[eq_3,eq_26]) ).
cnf(eq_22,plain,
meet(X,Y) = meet(Y,meet(X,Y)),
eq_20 ).
cnf(eq_23,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,join(meet(Z,join(Y,U)),meet(X,Z)))),
eq_14 ).
cnf(eq_24,plain,
join(X,Y) = join(X,join(meet(X,Z),Y)),
eq_19 ).
cnf(eq_25,plain,
join(X,Y) = join(X,join(X,Y)),
eq_18 ).
cnf(eq_26,plain,
join(X,join(Y,Z)) = join(Y,join(X,Z)),
inference(rw,[status(thm)],[eq_17,eq_7]) ).
cnf(eq_27,plain,
join(X,Y) = join(Y,join(X,meet(Y,Z))),
eq_21 ).
cnf(eq_28,plain,
meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(meet(X,Z),join(Y,meet(Z,join(Y,U))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_13,eq_7]),eq_5]) ).
cnf(eq_29,plain,
X = join(X,meet(Y,X)),
eq_16 ).
cnf(eq_30,plain,
meet(X,meet(Y,Z)) = meet(Y,meet(X,Z)),
inference(rw,[status(thm)],[eq_15,eq_6]) ).
cnf(eq_31,plain,
meet(X,x102) = meet(X,meet(join(Y,join(X,Z)),x102)),
inference(cp,[status(thm)],[eq_11,eq_6]) ).
cnf(eq_32,plain,
meet(x100,X) = meet(X,meet(x100,join(Y,X))),
inference(cp,[status(thm)],[eq_12,eq_30]) ).
cnf(eq_33,plain,
meet(meet(X,Z),join(X,Y)) = meet(X,Z),
inference(cp,[status(thm)],[eq_24,eq_11]) ).
cnf(eq_34,plain,
join(X,join(Y,X)) = join(X,Y),
inference(cp,[status(thm)],[eq_5,eq_25]) ).
cnf(eq_35,plain,
join(Y,join(meet(X,Y),x102)) = join(Y,x102),
inference(cp,[status(thm)],[eq_4,eq_24]) ).
cnf(eq_36,plain,
join(Y,join(x101,meet(X,Y))) = join(x101,Y),
inference(cp,[status(thm)],[eq_4,eq_27]) ).
cnf(eq_37,plain,
join(X,Y) = join(X,join(meet(Z,X),Y)),
eq_35 ).
cnf(eq_38,plain,
meet(X,Y) = meet(X,meet(join(Z,join(X,U)),Y)),
eq_31 ).
cnf(eq_39,plain,
meet(X,Y) = meet(Y,meet(X,join(Z,Y))),
eq_32 ).
cnf(eq_40,plain,
meet(X,Y) = meet(X,meet(Y,join(X,Z))),
inference(rw,[status(thm)],[eq_33,eq_6]) ).
cnf(eq_41,plain,
join(X,Y) = join(Y,join(X,meet(Z,Y))),
eq_36 ).
cnf(eq_42,plain,
join(meet(X,join(Z,Y)),meet(X,Y)) = meet(X,join(Z,Y)),
inference(cp,[status(thm)],[eq_39,eq_29]) ).
cnf(eq_43,plain,
join(meet(X,Y),join(x101,meet(X,Y))) = join(x101,meet(X,Y)),
inference(cp,[status(thm)],[eq_22,eq_41]) ).
cnf(eq_44,plain,
join(X,meet(Y,Z)) = join(meet(Y,Z),X),
inference(rw,[status(thm)],[eq_43,eq_34]) ).
cnf(eq_45,plain,
meet(X,join(Y,Z)) = join(meet(X,Z),meet(X,join(Y,Z))),
inference(rw,[status(thm)],[eq_42,eq_5]) ).
cnf(eq_46,negated_conjecture,
meet(a,meet(join(Z,join(a,U)),join(meet(c,join(b,a)),meet(a,join(b,meet(c,a)))))) != meet(a,join(b,meet(c,a))),
inference(cp,[status(thm)],[eq_38,eq_10]) ).
cnf(eq_47,negated_conjecture,
meet(a,meet(join(X,join(a,Y)),join(meet(c,join(b,a)),meet(a,join(b,meet(a,c)))))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_4]),eq_4]) ).
cnf(eq_48,plain,
meet(x100,join(X,join(meet(x102,X),meet(x100,x102)))) = meet(x100,join(X,meet(x102,join(x100,X)))),
inference(cp,[status(thm)],[eq_1,eq_23]) ).
cnf(eq_49,plain,
meet(X,join(Y,meet(X,Z))) = meet(X,join(Y,meet(Z,join(X,Y)))),
inference(rw,[status(thm)],[eq_48,eq_37]) ).
cnf(eq_50,plain,
meet(Y,meet(X,join(Y,Z))) = meet(Y,join(meet(Y,X),join(meet(X,Z),meet(X,join(meet(X,Z),Z))))),
inference(cp,[status(thm)],[eq_45,eq_28]) ).
cnf(eq_51,plain,
meet(X,Y) = meet(X,join(meet(X,Y),meet(Y,Z))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_50,eq_40]),eq_5]),eq_29]),eq_1]) ).
cnf(eq_52,plain,
meet(Y,join(meet(Z,x102),meet(Y,Z))) = meet(Y,Z),
inference(cp,[status(thm)],[eq_44,eq_51]) ).
cnf(eq_53,plain,
meet(X,Y) = meet(X,join(meet(Y,Z),meet(X,Y))),
eq_52 ).
cnf(eq_54,plain,
meet(x100,join(meet(X,Y),meet(x100,Y))) = meet(x100,Y),
inference(cp,[status(thm)],[eq_4,eq_53]) ).
cnf(eq_55,plain,
meet(X,Y) = meet(X,join(meet(Z,Y),meet(X,Y))),
eq_54 ).
cnf(eq_56,plain,
meet(x100,join(X,meet(x100,join(Y,X)))) = meet(x100,join(Y,X)),
inference(cp,[status(thm)],[eq_12,eq_55]) ).
cnf(eq_57,plain,
meet(X,join(Y,Z)) = meet(X,join(Z,meet(X,join(Y,Z)))),
eq_56 ).
cnf(eq_58,negated_conjecture,
meet(a,meet(join(x100,join(a,x101)),join(meet(c,join(b,a)),meet(a,join(b,meet(c,join(a,b))))))) != meet(a,join(b,meet(a,c))),
inference(cp,[status(thm)],[eq_49,eq_47]) ).
cnf(eq_59,negated_conjecture,
meet(a,join(b,meet(join(a,b),c))) != meet(a,join(b,meet(a,c))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_58,eq_5]),eq_4]),eq_4]),eq_38]),eq_57]) ).
cnf(eq_60,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(b,a)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_59,eq_5]),eq_4]) ).
cnf(eq_61,negated_conjecture,
meet(a,join(b,meet(c,join(a,b)))) != meet(a,join(b,meet(c,join(b,a)))),
inference(cp,[status(thm)],[eq_49,eq_60]) ).
cnf(eq_62,negated_conjecture,
meet(a,join(b,meet(c,join(b,a)))) != meet(a,join(b,meet(c,join(b,a)))),
inference(rw,[status(thm)],[eq_61,eq_5]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT156-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.13/0.34 % Computer : n026.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 05:13:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 61.50/61.72 % SZS status Unsatisfiable
% 61.50/61.72 % SZS output start CNFRefutation for /tmp/MaedMax_17769
% See solution above
% 61.50/61.72
%------------------------------------------------------------------------------