%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:49:34 AM UTC 2026
% Result : Unsatisfiable 3.40s 6.38s
% Output : CNFRefutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 10
% Syntax : Number of formulae : 112 ( 112 unt; 0 def)
% Number of atoms : 112 ( 111 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 288 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(idempotence_of_meet,axiom,
! [VAR_0] : meet(VAR_0,VAR_0) = VAR_0,
file('theBenchmark.p',idempotence_of_meet) ).
cnf(c_1,plain,
meet(A,A) = A,
inference(clausify,[status(thm)],[idempotence_of_meet]) ).
fof(idempotence_of_join,axiom,
! [VAR_0] : join(VAR_0,VAR_0) = VAR_0,
file('theBenchmark.p',idempotence_of_join) ).
cnf(c_2,plain,
join(A,A) = A,
inference(clausify,[status(thm)],[idempotence_of_join]) ).
fof(commutativity_of_meet,axiom,
! [VAR_0,VAR_1] : meet(VAR_0,VAR_1) = meet(VAR_1,VAR_0),
file('theBenchmark.p',commutativity_of_meet) ).
cnf(c_3,plain,
meet(A,B) = meet(B,A),
inference(clausify,[status(thm)],[commutativity_of_meet]) ).
fof(commutativity_of_join,axiom,
! [VAR_0,VAR_1] : join(VAR_0,VAR_1) = join(VAR_1,VAR_0),
file('theBenchmark.p',commutativity_of_join) ).
cnf(c_4,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[commutativity_of_join]) ).
fof(associativity_of_meet,axiom,
! [VAR_0,VAR_1,VAR_2] : meet(meet(VAR_0,VAR_1),VAR_2) = meet(VAR_0,meet(VAR_1,VAR_2)),
file('theBenchmark.p',associativity_of_meet) ).
cnf(c_5,plain,
meet(meet(A,B),C) = meet(A,meet(B,C)),
inference(clausify,[status(thm)],[associativity_of_meet]) ).
fof(associativity_of_join,axiom,
! [VAR_0,VAR_1,VAR_2] : join(join(VAR_0,VAR_1),VAR_2) = join(VAR_0,join(VAR_1,VAR_2)),
file('theBenchmark.p',associativity_of_join) ).
cnf(c_6,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[associativity_of_join]) ).
fof(quasi_lattice1,axiom,
! [VAR_0,VAR_1,VAR_2] : join(meet(VAR_0,join(VAR_1,VAR_2)),meet(VAR_0,VAR_1)) = meet(VAR_0,join(VAR_1,VAR_2)),
file('theBenchmark.p',quasi_lattice1) ).
cnf(c_7,plain,
join(meet(A,join(B,C)),meet(A,B)) = meet(A,join(B,C)),
inference(clausify,[status(thm)],[quasi_lattice1]) ).
cnf(c_8,plain,
join(meet(A,B),meet(A,join(B,C))) = meet(A,join(B,C)),
inference(paramod,[status(thm)],[c_4,c_7]) ).
fof(quasi_lattice2,axiom,
! [VAR_0,VAR_1,VAR_2] : meet(join(VAR_0,meet(VAR_1,VAR_2)),join(VAR_0,VAR_1)) = join(VAR_0,meet(VAR_1,VAR_2)),
file('theBenchmark.p',quasi_lattice2) ).
cnf(c_9,plain,
meet(join(A,meet(B,C)),join(A,B)) = join(A,meet(B,C)),
inference(clausify,[status(thm)],[quasi_lattice2]) ).
cnf(c_10,plain,
meet(join(A,B),join(A,meet(B,C))) = join(A,meet(B,C)),
inference(paramod,[status(thm)],[c_3,c_9]) ).
fof(self_dual_modularity,axiom,
! [VAR_0,VAR_1,VAR_2] : join(meet(VAR_0,VAR_1),meet(VAR_2,join(VAR_0,VAR_1))) = meet(join(VAR_0,VAR_1),join(VAR_2,meet(VAR_0,VAR_1))),
file('theBenchmark.p',self_dual_modularity) ).
cnf(c_11,plain,
join(meet(A,B),meet(C,join(A,B))) = meet(join(A,B),join(C,meet(A,B))),
inference(clausify,[status(thm)],[self_dual_modularity]) ).
cnf(c_12,plain,
meet(join(A,B),join(C,meet(A,B))) = join(meet(A,B),meet(C,join(A,B))),
inference(copy,[status(thm)],[c_11]) ).
fof(prove_modularity,axiom,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('theBenchmark.p',prove_modularity) ).
cnf(c_13,plain,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
inference(clausify,[status(thm)],[prove_modularity]) ).
cnf(c_1230,plain,
meet(A,B) = meet(A,meet(A,B)),
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_15,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(copy,[status(thm)],[c_1230]) ).
cnf(c_1231,plain,
meet(meet(A,B),B) = meet(A,B),
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_16,plain,
meet(A,meet(B,A)) = meet(B,A),
inference(paramod,[status(thm)],[c_3,c_1231]) ).
cnf(c_1232,plain,
meet(meet(A,B),C) = meet(B,meet(A,C)),
inference(paramod,[status(thm)],[c_3,c_5]) ).
cnf(c_18,plain,
meet(A,meet(B,C)) = meet(B,meet(A,C)),
inference(paramod,[status(thm)],[c_5,c_1232]) ).
cnf(c_1233,plain,
join(join(A,B),B) = join(A,B),
inference(paramod,[status(thm)],[c_2,c_6]) ).
cnf(c_21,plain,
join(A,join(B,A)) = join(B,A),
inference(paramod,[status(thm)],[c_4,c_1233]) ).
cnf(c_26,plain,
join(meet(A,B),meet(B,join(A,C))) = meet(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_8]) ).
cnf(c_1234,plain,
join(meet(A,join(B,C)),D) = join(meet(A,B),join(meet(A,join(B,C)),D)),
inference(paramod,[status(thm)],[c_8,c_6]) ).
cnf(c_30,plain,
join(meet(A,B),join(meet(A,join(B,C)),D)) = join(meet(A,join(B,C)),D),
inference(copy,[status(thm)],[c_1234]) ).
cnf(c_34,plain,
meet(join(A,B),join(A,meet(C,B))) = join(A,meet(B,C)),
inference(paramod,[status(thm)],[c_3,c_10]) ).
cnf(c_35,plain,
meet(join(A,B),join(B,meet(A,C))) = join(B,meet(A,C)),
inference(paramod,[status(thm)],[c_4,c_10]) ).
cnf(c_1235,plain,
meet(join(A,A),join(B,A)) = join(meet(A,A),meet(B,join(A,A))),
inference(paramod,[status(thm)],[c_1,c_12]) ).
cnf(c_1236,plain,
meet(A,join(B,A)) = join(meet(A,A),meet(B,join(A,A))),
inference(paramod,[status(thm)],[c_2,c_1235]) ).
cnf(c_1237,plain,
meet(A,join(B,A)) = join(A,meet(B,join(A,A))),
inference(paramod,[status(thm)],[c_1,c_1236]) ).
cnf(c_44,plain,
meet(A,join(B,A)) = join(A,meet(B,A)),
inference(paramod,[status(thm)],[c_2,c_1237]) ).
cnf(c_46,plain,
meet(join(A,B),join(C,meet(B,A))) = join(meet(A,B),meet(C,join(A,B))),
inference(paramod,[status(thm)],[c_3,c_12]) ).
cnf(c_47,plain,
meet(join(A,B),join(meet(A,B),C)) = join(meet(A,B),meet(C,join(A,B))),
inference(paramod,[status(thm)],[c_4,c_12]) ).
cnf(c_1238,plain,
meet(join(A,meet(A,B)),join(C,meet(A,B))) = join(meet(A,meet(A,B)),meet(C,join(A,meet(A,B)))),
inference(paramod,[status(thm)],[c_15,c_12]) ).
cnf(c_62,plain,
meet(join(A,meet(A,B)),join(C,meet(A,B))) = join(meet(A,B),meet(C,join(A,meet(A,B)))),
inference(paramod,[status(thm)],[c_15,c_1238]) ).
cnf(c_1239,plain,
meet(join(A,meet(B,A)),join(C,meet(B,A))) = join(meet(A,meet(B,A)),meet(C,join(A,meet(B,A)))),
inference(paramod,[status(thm)],[c_16,c_12]) ).
cnf(c_66,plain,
meet(join(A,meet(B,A)),join(C,meet(B,A))) = join(meet(B,A),meet(C,join(A,meet(B,A)))),
inference(paramod,[status(thm)],[c_16,c_1239]) ).
cnf(c_75,plain,
meet(A,join(A,B)) = join(A,meet(B,A)),
inference(paramod,[status(thm)],[c_4,c_44]) ).
cnf(c_76,plain,
meet(join(A,meet(B,A)),C) = meet(A,meet(join(B,A),C)),
inference(paramod,[status(thm)],[c_44,c_5]) ).
cnf(c_1240,plain,
meet(A,meet(join(B,A),join(C,meet(B,A)))) = join(meet(B,A),meet(C,join(A,meet(B,A)))),
inference(paramod,[status(thm)],[c_76,c_66]) ).
cnf(c_89,plain,
meet(A,join(meet(B,A),meet(C,join(B,A)))) = join(meet(B,A),meet(C,join(A,meet(B,A)))),
inference(paramod,[status(thm)],[c_12,c_1240]) ).
cnf(c_1241,plain,
join(meet(A,B),meet(B,A)) = meet(B,join(A,A)),
inference(paramod,[status(thm)],[c_2,c_26]) ).
cnf(c_129,plain,
join(meet(A,B),meet(B,A)) = meet(B,A),
inference(paramod,[status(thm)],[c_2,c_1241]) ).
cnf(c_130,plain,
join(meet(A,B),meet(join(A,C),B)) = meet(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_26]) ).
cnf(c_1242,plain,
meet(join(meet(A,B),B),meet(B,join(A,C))) = join(meet(A,B),meet(B,join(A,C))),
inference(paramod,[status(thm)],[c_26,c_10]) ).
cnf(c_1243,plain,
meet(join(B,meet(A,B)),meet(B,join(A,C))) = join(meet(A,B),meet(B,join(A,C))),
inference(paramod,[status(thm)],[c_4,c_1242]) ).
cnf(c_1244,plain,
meet(B,meet(join(B,meet(A,B)),join(A,C))) = join(meet(A,B),meet(B,join(A,C))),
inference(paramod,[status(thm)],[c_18,c_1243]) ).
cnf(c_1245,plain,
meet(B,meet(B,meet(join(A,B),join(A,C)))) = join(meet(A,B),meet(B,join(A,C))),
inference(paramod,[status(thm)],[c_76,c_1244]) ).
cnf(c_1246,plain,
meet(B,meet(join(A,B),join(A,C))) = join(meet(A,B),meet(B,join(A,C))),
inference(paramod,[status(thm)],[c_15,c_1245]) ).
cnf(c_139,plain,
meet(A,meet(join(B,A),join(B,C))) = meet(A,join(B,C)),
inference(paramod,[status(thm)],[c_26,c_1246]) ).
cnf(c_1247,plain,
meet(join(meet(A,B),A),join(meet(A,B),meet(B,A))) = meet(A,B),
inference(paramod,[status(thm)],[c_2,c_34]) ).
cnf(c_1248,plain,
meet(join(A,meet(A,B)),join(meet(A,B),meet(B,A))) = meet(A,B),
inference(paramod,[status(thm)],[c_4,c_1247]) ).
cnf(c_1249,plain,
meet(join(A,meet(A,B)),meet(B,A)) = meet(A,B),
inference(paramod,[status(thm)],[c_129,c_1248]) ).
cnf(c_1250,plain,
meet(meet(B,A),join(A,meet(A,B))) = meet(A,B),
inference(paramod,[status(thm)],[c_3,c_1249]) ).
cnf(c_1251,plain,
meet(B,meet(A,join(A,meet(A,B)))) = meet(A,B),
inference(paramod,[status(thm)],[c_5,c_1250]) ).
cnf(c_1252,plain,
meet(B,join(A,meet(meet(A,B),A))) = meet(A,B),
inference(paramod,[status(thm)],[c_75,c_1251]) ).
cnf(c_1253,plain,
meet(B,join(A,meet(A,meet(A,B)))) = meet(A,B),
inference(paramod,[status(thm)],[c_3,c_1252]) ).
cnf(c_240,plain,
meet(A,join(B,meet(B,A))) = meet(B,A),
inference(paramod,[status(thm)],[c_15,c_1253]) ).
cnf(c_241,plain,
meet(join(A,B),join(B,meet(C,A))) = join(B,meet(A,C)),
inference(paramod,[status(thm)],[c_4,c_34]) ).
cnf(c_274,plain,
meet(A,join(B,meet(A,B))) = meet(B,A),
inference(paramod,[status(thm)],[c_3,c_240]) ).
cnf(c_296,plain,
meet(join(A,B),join(meet(A,C),B)) = join(B,meet(A,C)),
inference(paramod,[status(thm)],[c_4,c_35]) ).
cnf(c_1254,plain,
join(meet(A,B),meet(join(B,C),join(A,D))) = join(meet(A,join(B,C)),meet(join(B,C),join(A,D))),
inference(paramod,[status(thm)],[c_26,c_30]) ).
cnf(c_363,plain,
join(meet(A,B),meet(join(B,C),join(A,D))) = meet(join(B,C),join(A,D)),
inference(paramod,[status(thm)],[c_26,c_1254]) ).
cnf(c_1255,plain,
join(meet(A,B),meet(join(B,C),join(A,meet(B,A)))) = meet(join(A,meet(B,A)),join(B,C)),
inference(paramod,[status(thm)],[c_274,c_130]) ).
cnf(c_1256,plain,
meet(join(B,C),join(A,meet(B,A))) = meet(join(A,meet(B,A)),join(B,C)),
inference(paramod,[status(thm)],[c_363,c_1255]) ).
cnf(c_1257,plain,
meet(join(B,C),join(A,meet(B,A))) = meet(A,meet(join(B,A),join(B,C))),
inference(paramod,[status(thm)],[c_76,c_1256]) ).
cnf(c_397,plain,
meet(join(A,B),join(C,meet(A,C))) = meet(C,join(A,B)),
inference(paramod,[status(thm)],[c_139,c_1257]) ).
cnf(c_622,plain,
meet(join(A,B),join(C,meet(C,A))) = meet(C,join(A,B)),
inference(paramod,[status(thm)],[c_3,c_397]) ).
cnf(c_1258,plain,
meet(join(A,B),join(join(C,meet(C,A)),meet(C,A))) = meet(join(C,meet(C,A)),join(A,B)),
inference(paramod,[status(thm)],[c_240,c_397]) ).
cnf(c_1259,plain,
meet(join(A,B),join(meet(C,A),join(C,meet(C,A)))) = meet(join(C,meet(C,A)),join(A,B)),
inference(paramod,[status(thm)],[c_4,c_1258]) ).
cnf(c_1260,plain,
meet(join(A,B),join(C,meet(C,A))) = meet(join(C,meet(C,A)),join(A,B)),
inference(paramod,[status(thm)],[c_21,c_1259]) ).
cnf(c_1261,plain,
meet(C,join(A,B)) = meet(join(C,meet(C,A)),join(A,B)),
inference(paramod,[status(thm)],[c_622,c_1260]) ).
cnf(c_642,plain,
meet(join(A,meet(A,B)),join(B,C)) = meet(A,join(B,C)),
inference(copy,[status(thm)],[c_1261]) ).
cnf(c_763,plain,
meet(join(A,meet(A,B)),join(C,B)) = meet(A,join(B,C)),
inference(paramod,[status(thm)],[c_4,c_642]) ).
cnf(c_1262,plain,
meet(join(A,meet(B,A)),join(meet(B,A),C)) = meet(A,join(meet(B,A),C)),
inference(paramod,[status(thm)],[c_16,c_642]) ).
cnf(c_1263,plain,
meet(A,meet(join(B,A),join(meet(B,A),C))) = meet(A,join(meet(B,A),C)),
inference(paramod,[status(thm)],[c_76,c_1262]) ).
cnf(c_1264,plain,
meet(A,join(meet(B,A),meet(C,join(B,A)))) = meet(A,join(meet(B,A),C)),
inference(paramod,[status(thm)],[c_47,c_1263]) ).
cnf(c_772,plain,
join(meet(A,B),meet(C,join(B,meet(A,B)))) = meet(B,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_89,c_1264]) ).
cnf(c_1265,plain,
meet(join(A,meet(A,B)),join(C,meet(A,B))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_15,c_763]) ).
cnf(c_904,plain,
join(meet(A,B),meet(C,join(A,meet(A,B)))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_62,c_1265]) ).
cnf(c_932,plain,
meet(join(A,meet(A,B)),join(C,meet(A,B))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_904,c_62]) ).
cnf(c_936,plain,
meet(join(A,meet(A,B)),C) = meet(A,meet(join(B,A),C)),
inference(paramod,[status(thm)],[c_3,c_76]) ).
cnf(c_1266,plain,
meet(A,meet(join(B,A),join(meet(B,A),meet(C,A)))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_76,c_241]) ).
cnf(c_1267,plain,
meet(A,join(meet(B,A),meet(meet(C,A),join(B,A)))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_47,c_1266]) ).
cnf(c_1268,plain,
meet(A,join(meet(B,A),meet(C,meet(A,join(B,A))))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_5,c_1267]) ).
cnf(c_1269,plain,
meet(A,join(meet(B,A),meet(C,join(A,meet(B,A))))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_44,c_1268]) ).
cnf(c_1270,plain,
meet(A,meet(A,join(meet(B,A),C))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_772,c_1269]) ).
cnf(c_969,plain,
meet(A,join(meet(B,A),C)) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_15,c_1270]) ).
cnf(c_1271,plain,
meet(A,meet(join(B,A),join(meet(A,C),meet(B,A)))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_76,c_296]) ).
cnf(c_1272,plain,
meet(A,join(meet(B,A),meet(meet(A,C),join(B,A)))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_12,c_1271]) ).
cnf(c_1273,plain,
meet(A,join(meet(B,A),meet(A,meet(C,join(B,A))))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_5,c_1272]) ).
cnf(c_1274,plain,
join(meet(B,A),meet(A,meet(A,meet(C,join(B,A))))) = join(meet(B,A),meet(A,C)),
inference(paramod,[status(thm)],[c_969,c_1273]) ).
cnf(c_973,plain,
join(meet(A,B),meet(B,meet(C,join(A,B)))) = join(meet(A,B),meet(B,C)),
inference(paramod,[status(thm)],[c_15,c_1274]) ).
cnf(c_1275,plain,
meet(A,meet(join(B,A),join(C,meet(A,B)))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_936,c_932]) ).
cnf(c_1276,plain,
meet(A,join(meet(B,A),meet(C,join(B,A)))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_46,c_1275]) ).
cnf(c_1277,plain,
join(meet(B,A),meet(A,meet(C,join(B,A)))) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_969,c_1276]) ).
cnf(c_1278,plain,
join(meet(B,A),meet(A,C)) = meet(A,join(meet(A,B),C)),
inference(paramod,[status(thm)],[c_973,c_1277]) ).
cnf(c_990,plain,
meet(A,join(meet(A,B),C)) = join(meet(B,A),meet(A,C)),
inference(copy,[status(thm)],[c_1278]) ).
cnf(c_1196,plain,
meet(A,join(B,meet(A,C))) = join(meet(C,A),meet(A,B)),
inference(paramod,[status(thm)],[c_4,c_990]) ).
cnf(c_1279,plain,
join(meet(c,a),meet(a,b)) != join(meet(a,b),meet(a,c)),
inference(paramod,[status(thm)],[c_1196,c_13]) ).
cnf(c_1280,plain,
join(meet(a,c),meet(a,b)) != join(meet(a,b),meet(a,c)),
inference(paramod,[status(thm)],[c_3,c_1279]) ).
cnf(c_1281,plain,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c)),
inference(paramod,[status(thm)],[c_4,c_1280]) ).
cnf(c_1229,plain,
$false,
inference(copy,[status(thm)],[c_1281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT022-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.40 % Computer : n026.cluster.edu
% 0.09/5.40 % Model : x86_64 x86_64
% 0.09/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.40 % Memory : 8046.5625MB
% 0.09/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Fri Sep 25 20:00:15 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/5.40 % Process 3313835 was started by sandbox on n026,
% 0.13/5.40 % Fri Sep 25 20:00:15 2026
% 0.13/5.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/5.40
% 0.13/5.40 % From the command line: assign(max_seconds, 300).
% 3.40/6.38
% 3.40/6.38 % SZS status Unsatisfiable for theBenchmark
% 3.40/6.38
% 3.40/6.38 % Proof 1 at 0.37 (+ 0.08) seconds.
% 3.40/6.38 % Length of proof is 50.
% 3.40/6.38 % Level of proof is 14.
% 3.40/6.38 % Maximum clause weight is 48.000.
% 3.40/6.38 % Given clauses 51.
% 3.40/6.38
% 3.40/6.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
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