%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL012-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 08:24:48 AM UTC 2026
% Result : Unsatisfiable 20.43s 3.42s
% Output : CNFRefutation 20.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 12
% Syntax : Number of formulae : 129 ( 129 unt; 0 def)
% Number of atoms : 129 ( 128 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 185 ( 11 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity_1,axiom,
! [VAR_0,VAR_1] : join(VAR_0,VAR_1) = join(VAR_1,VAR_0),
file('theBenchmark.p',maddux1_join_commutativity_1) ).
cnf(c_1,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity_1]) ).
fof(maddux2_join_associativity_2,axiom,
! [VAR_0,VAR_1,VAR_2] : join(VAR_0,join(VAR_1,VAR_2)) = join(join(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',maddux2_join_associativity_2) ).
cnf(c_2,plain,
join(A,join(B,C)) = join(join(A,B),C),
inference(clausify,[status(thm)],[maddux2_join_associativity_2]) ).
cnf(c_3,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(copy,[status(thm)],[c_2]) ).
fof(maddux3_a_kind_of_de_Morgan_3,axiom,
! [VAR_0,VAR_1] : VAR_0 = join(complement(join(complement(VAR_0),complement(VAR_1))),complement(join(complement(VAR_0),VAR_1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(c_4,plain,
A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan_3]) ).
cnf(c_4974,plain,
A = join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_1,c_4]) ).
cnf(c_5,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(copy,[status(thm)],[c_4974]) ).
fof(maddux4_definiton_of_meet_4,axiom,
! [VAR_0,VAR_1] : meet(VAR_0,VAR_1) = complement(join(complement(VAR_0),complement(VAR_1))),
file('theBenchmark.p',maddux4_definiton_of_meet_4) ).
cnf(c_6,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet_4]) ).
fof(composition_identity_6,axiom,
! [VAR_0] : composition(VAR_0,one) = VAR_0,
file('theBenchmark.p',composition_identity_6) ).
cnf(c_9,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity_6]) ).
fof(converse_idempotence_8,axiom,
! [VAR_0] : converse(converse(VAR_0)) = VAR_0,
file('theBenchmark.p',converse_idempotence_8) ).
cnf(c_11,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence_8]) ).
fof(converse_additivity_9,axiom,
! [VAR_0,VAR_1] : converse(join(VAR_0,VAR_1)) = join(converse(VAR_0),converse(VAR_1)),
file('theBenchmark.p',converse_additivity_9) ).
cnf(c_12,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity_9]) ).
fof(converse_multiplicativity_10,axiom,
! [VAR_0,VAR_1] : converse(composition(VAR_0,VAR_1)) = composition(converse(VAR_1),converse(VAR_0)),
file('theBenchmark.p',converse_multiplicativity_10) ).
cnf(c_13,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity_10]) ).
fof(converse_cancellativity_11,axiom,
! [VAR_0,VAR_1] : join(composition(converse(VAR_0),complement(composition(VAR_0,VAR_1))),complement(VAR_1)) = complement(VAR_1),
file('theBenchmark.p',converse_cancellativity_11) ).
cnf(c_14,plain,
join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
inference(clausify,[status(thm)],[converse_cancellativity_11]) ).
cnf(c_15,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_14]) ).
fof(def_top_12,axiom,
! [VAR_0] : top = join(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_top_12) ).
cnf(c_16,plain,
top = join(A,complement(A)),
inference(clausify,[status(thm)],[def_top_12]) ).
cnf(c_17,plain,
join(A,complement(A)) = top,
inference(copy,[status(thm)],[c_16]) ).
fof(def_zero_13,axiom,
! [VAR_0] : zero = meet(VAR_0,complement(VAR_0)),
file('theBenchmark.p',def_zero_13) ).
cnf(c_18,plain,
zero = meet(A,complement(A)),
inference(clausify,[status(thm)],[def_zero_13]) ).
cnf(c_4975,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_4976,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_4975]) ).
cnf(c_19,plain,
complement(top) = zero,
inference(copy,[status(thm)],[c_4976]) ).
fof(goals_14,axiom,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
file('theBenchmark.p',goals_14) ).
cnf(c_20,plain,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
inference(clausify,[status(thm)],[goals_14]) ).
cnf(c_21,plain,
join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))) != complement(sk1),
inference(paramod,[status(thm)],[c_1,c_20]) ).
cnf(c_4977,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_1,c_3]) ).
cnf(c_23,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_4977]) ).
cnf(c_25,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_4978,plain,
join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
inference(paramod,[status(thm)],[c_5,c_3]) ).
cnf(c_26,plain,
join(complement(join(complement(A),B)),join(complement(join(complement(A),complement(B))),C)) = join(A,C),
inference(copy,[status(thm)],[c_4978]) ).
cnf(c_4979,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_32,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_4979]) ).
cnf(c_4980,plain,
converse(complement(A)) = join(converse(complement(A)),converse(composition(converse(B),complement(composition(B,A))))),
inference(paramod,[status(thm)],[c_15,c_12]) ).
cnf(c_4981,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),converse(converse(B)))),
inference(paramod,[status(thm)],[c_13,c_4980]) ).
cnf(c_4982,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)),
inference(paramod,[status(thm)],[c_11,c_4981]) ).
cnf(c_41,plain,
join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)) = converse(complement(A)),
inference(copy,[status(thm)],[c_4982]) ).
cnf(c_4983,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_44,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_19,c_4983]) ).
cnf(c_4984,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_4985,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_19,c_4984]) ).
cnf(c_45,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_4985]) ).
cnf(c_4986,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_17,c_12]) ).
cnf(c_47,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_4986]) ).
cnf(c_4987,plain,
join(A,B) = join(complement(join(complement(B),C)),join(A,complement(join(complement(B),complement(C))))),
inference(paramod,[status(thm)],[c_5,c_23]) ).
cnf(c_53,plain,
join(complement(join(complement(A),B)),join(C,complement(join(complement(A),complement(B))))) = join(C,A),
inference(copy,[status(thm)],[c_4987]) ).
cnf(c_4988,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_32]) ).
cnf(c_62,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_4988]) ).
cnf(c_4989,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_62,c_9]) ).
cnf(c_64,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_4989]) ).
cnf(c_68,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_62,c_15]) ).
cnf(c_69,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_64,c_62]) ).
cnf(c_70,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_69,c_68]) ).
cnf(c_71,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_70,c_45]) ).
cnf(c_4990,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_25]) ).
cnf(c_4991,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_4990]) ).
cnf(c_4992,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_19,c_4991]) ).
cnf(c_104,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_4992]) ).
cnf(c_110,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_104,c_44]) ).
cnf(c_116,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_110,c_71]) ).
cnf(c_4993,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_110,c_5]) ).
cnf(c_122,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_110,c_4993]) ).
cnf(c_4994,plain,
join(A,complement(complement(A))) = complement(complement(A)),
inference(paramod,[status(thm)],[c_110,c_70]) ).
cnf(c_4995,plain,
join(A,A) = complement(complement(A)),
inference(paramod,[status(thm)],[c_110,c_4994]) ).
cnf(c_126,plain,
join(A,A) = A,
inference(paramod,[status(thm)],[c_110,c_4995]) ).
cnf(c_4996,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_126,c_3]) ).
cnf(c_131,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_4996]) ).
cnf(c_4997,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(A,complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_126,c_26]) ).
cnf(c_4998,plain,
complement(complement(A)) = join(A,complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_122,c_4997]) ).
cnf(c_4999,plain,
A = join(A,complement(join(complement(A),complement(B)))),
inference(paramod,[status(thm)],[c_110,c_4998]) ).
cnf(c_144,plain,
join(A,complement(join(complement(A),complement(B)))) = A,
inference(copy,[status(thm)],[c_4999]) ).
cnf(c_5000,plain,
join(complement(join(complement(A),B)),join(complement(join(complement(A),complement(B))),A)) = A,
inference(paramod,[status(thm)],[c_126,c_26]) ).
cnf(c_5001,plain,
join(complement(join(complement(A),B)),join(A,complement(join(complement(A),complement(B))))) = A,
inference(paramod,[status(thm)],[c_1,c_5000]) ).
cnf(c_5002,plain,
join(complement(join(complement(A),B)),A) = A,
inference(paramod,[status(thm)],[c_144,c_5001]) ).
cnf(c_145,plain,
join(A,complement(join(complement(A),B))) = A,
inference(paramod,[status(thm)],[c_1,c_5002]) ).
cnf(c_173,plain,
join(A,converse(complement(converse(A)))) = converse(top),
inference(paramod,[status(thm)],[c_11,c_47]) ).
cnf(c_5003,plain,
join(A,top) = join(A,complement(A)),
inference(paramod,[status(thm)],[c_17,c_131]) ).
cnf(c_199,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_5003]) ).
cnf(c_5004,plain,
join(converse(A),converse(top)) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_47,c_131]) ).
cnf(c_200,plain,
join(converse(A),converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_47,c_5004]) ).
cnf(c_5005,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_199,c_1]) ).
cnf(c_203,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_5005]) ).
cnf(c_220,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_200]) ).
cnf(c_225,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_220,c_203]) ).
cnf(c_236,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_225,c_173]) ).
cnf(c_326,plain,
join(A,complement(join(B,complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_145]) ).
cnf(c_5006,plain,
join(complement(join(complement(A),B)),B) = join(B,A),
inference(paramod,[status(thm)],[c_326,c_53]) ).
cnf(c_533,plain,
join(A,complement(join(complement(B),A))) = join(A,B),
inference(paramod,[status(thm)],[c_1,c_5006]) ).
cnf(c_5007,plain,
join(complement(top),complement(join(A,complement(converse(complement(converse(A))))))) = complement(A),
inference(paramod,[status(thm)],[c_236,c_122]) ).
cnf(c_5008,plain,
join(zero,complement(join(A,complement(converse(complement(converse(A))))))) = complement(A),
inference(paramod,[status(thm)],[c_19,c_5007]) ).
cnf(c_1183,plain,
complement(join(A,complement(converse(complement(converse(A)))))) = complement(A),
inference(paramod,[status(thm)],[c_116,c_5008]) ).
cnf(c_5009,plain,
join(converse(complement(converse(complement(A)))),complement(top)) = join(converse(complement(converse(complement(A)))),A),
inference(paramod,[status(thm)],[c_236,c_533]) ).
cnf(c_5010,plain,
join(converse(complement(converse(complement(A)))),zero) = join(converse(complement(converse(complement(A)))),A),
inference(paramod,[status(thm)],[c_19,c_5009]) ).
cnf(c_5011,plain,
join(zero,converse(complement(converse(complement(A))))) = join(converse(complement(converse(complement(A)))),A),
inference(paramod,[status(thm)],[c_1,c_5010]) ).
cnf(c_5012,plain,
converse(complement(converse(complement(A)))) = join(converse(complement(converse(complement(A)))),A),
inference(paramod,[status(thm)],[c_116,c_5011]) ).
cnf(c_5013,plain,
converse(complement(converse(complement(A)))) = join(A,converse(complement(converse(complement(A))))),
inference(paramod,[status(thm)],[c_1,c_5012]) ).
cnf(c_1284,plain,
join(A,converse(complement(converse(complement(A))))) = converse(complement(converse(complement(A)))),
inference(copy,[status(thm)],[c_5013]) ).
cnf(c_5014,plain,
complement(complement(A)) = join(A,complement(converse(complement(converse(A))))),
inference(paramod,[status(thm)],[c_1183,c_110]) ).
cnf(c_5015,plain,
A = join(A,complement(converse(complement(converse(A))))),
inference(paramod,[status(thm)],[c_110,c_5014]) ).
cnf(c_1372,plain,
join(A,complement(converse(complement(converse(A))))) = A,
inference(copy,[status(thm)],[c_5015]) ).
cnf(c_5016,plain,
converse(A) = join(converse(A),converse(complement(converse(complement(converse(A)))))),
inference(paramod,[status(thm)],[c_1372,c_12]) ).
cnf(c_5017,plain,
converse(A) = converse(complement(converse(complement(converse(A))))),
inference(paramod,[status(thm)],[c_1284,c_5016]) ).
cnf(c_1378,plain,
converse(complement(converse(complement(converse(A))))) = converse(A),
inference(copy,[status(thm)],[c_5017]) ).
cnf(c_5018,plain,
converse(converse(A)) = complement(converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1378,c_11]) ).
cnf(c_5019,plain,
A = complement(converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_11,c_5018]) ).
cnf(c_1383,plain,
complement(converse(complement(converse(A)))) = A,
inference(copy,[status(thm)],[c_5019]) ).
cnf(c_1391,plain,
complement(converse(complement(A))) = converse(A),
inference(paramod,[status(thm)],[c_11,c_1383]) ).
cnf(c_5020,plain,
complement(converse(A)) = converse(complement(A)),
inference(paramod,[status(thm)],[c_1391,c_110]) ).
cnf(c_1452,plain,
converse(complement(A)) = complement(converse(A)),
inference(copy,[status(thm)],[c_5020]) ).
cnf(c_5021,plain,
join(converse(converse(A)),composition(converse(complement(composition(B,converse(complement(A))))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1391,c_41]) ).
cnf(c_5022,plain,
join(A,composition(converse(complement(composition(B,converse(complement(A))))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_11,c_5021]) ).
cnf(c_5023,plain,
join(A,composition(converse(complement(composition(B,complement(converse(A))))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1452,c_5022]) ).
cnf(c_5024,plain,
join(A,composition(complement(converse(composition(B,complement(converse(A))))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1452,c_5023]) ).
cnf(c_5025,plain,
join(A,composition(complement(composition(converse(complement(converse(A))),converse(B))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_13,c_5024]) ).
cnf(c_5026,plain,
join(A,composition(complement(composition(complement(converse(converse(A))),converse(B))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_1452,c_5025]) ).
cnf(c_5027,plain,
join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(complement(converse(complement(A)))),
inference(paramod,[status(thm)],[c_11,c_5026]) ).
cnf(c_5028,plain,
join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(complement(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1452,c_5027]) ).
cnf(c_5029,plain,
join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(converse(A)),
inference(paramod,[status(thm)],[c_110,c_5028]) ).
cnf(c_1454,plain,
join(A,composition(complement(composition(complement(A),converse(B))),B)) = A,
inference(paramod,[status(thm)],[c_11,c_5029]) ).
cnf(c_3607,plain,
join(A,composition(complement(composition(complement(A),B)),converse(B))) = A,
inference(paramod,[status(thm)],[c_11,c_1454]) ).
cnf(c_4972,plain,
join(complement(A),composition(complement(composition(A,B)),converse(B))) = complement(A),
inference(paramod,[status(thm)],[c_110,c_3607]) ).
cnf(c_4973,plain,
$false,
inference(resolve,[status(thm)],[c_4972,c_21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL012-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 05:28:48 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 721211 was started by sandbox on n020,
% 0.17/0.44 % Sat Sep 26 05:28:48 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.45
% 0.17/0.45 % From the command line: assign(max_seconds, 300).
% 20.43/3.42
% 20.43/3.42 % SZS status Unsatisfiable for theBenchmark
% 20.43/3.42
% 20.43/3.42 % Proof 1 at 2.19 (+ 0.71) seconds.
% 20.43/3.42 % Length of proof is 61.
% 20.43/3.42 % Level of proof is 21.
% 20.43/3.42 % Maximum clause weight is 18.000.
% 20.43/3.42 % Given clauses 376.
% 20.43/3.42
% 20.43/3.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------