%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL012-2 : 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 : n006.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 08:24:49 AM UTC 2026
% Result : Unsatisfiable 31.50s 4.50s
% Output : CNFRefutation 31.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% 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 : 178 ( 7 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_2492,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_2492]) ).
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_2493,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_2494,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_2493]) ).
cnf(c_19,plain,
complement(top) = zero,
inference(copy,[status(thm)],[c_2494]) ).
fof(goals_17,axiom,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
file('theBenchmark.p',goals_17) ).
cnf(c_26,plain,
join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1),
inference(clausify,[status(thm)],[goals_17]) ).
cnf(c_27,plain,
join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2))) != complement(sk1),
inference(paramod,[status(thm)],[c_1,c_26]) ).
cnf(c_30,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_31,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_2495,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_34,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_2495]) ).
cnf(c_2496,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_2497,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),converse(converse(B)))),
inference(paramod,[status(thm)],[c_13,c_2496]) ).
cnf(c_2498,plain,
converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)),
inference(paramod,[status(thm)],[c_11,c_2497]) ).
cnf(c_38,plain,
join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)) = converse(complement(A)),
inference(copy,[status(thm)],[c_2498]) ).
cnf(c_2499,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_41,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_19,c_2499]) ).
cnf(c_2500,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_2501,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_19,c_2500]) ).
cnf(c_42,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_2501]) ).
cnf(c_2502,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_17,c_12]) ).
cnf(c_44,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_2502]) ).
cnf(c_2503,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_34]) ).
cnf(c_60,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_2503]) ).
cnf(c_2504,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_60,c_9]) ).
cnf(c_62,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_2504]) ).
cnf(c_66,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_60,c_15]) ).
cnf(c_67,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_62,c_60]) ).
cnf(c_68,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_67,c_66]) ).
cnf(c_69,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_68,c_42]) ).
cnf(c_2505,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_31]) ).
cnf(c_2506,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_2505]) ).
cnf(c_2507,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_19,c_2506]) ).
cnf(c_72,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_2507]) ).
cnf(c_73,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_72,c_41]) ).
cnf(c_74,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_73,c_72]) ).
cnf(c_75,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_73,c_69]) ).
cnf(c_76,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_75,c_74]) ).
cnf(c_2508,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_73,c_5]) ).
cnf(c_91,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_73,c_2508]) ).
cnf(c_2509,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_73,c_30]) ).
cnf(c_93,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_73,c_2509]) ).
cnf(c_2510,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_76,c_17]) ).
cnf(c_2511,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_3,c_2510]) ).
cnf(c_98,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_2511]) ).
cnf(c_2512,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_76,c_73]) ).
cnf(c_2513,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_73,c_2512]) ).
cnf(c_99,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_2513]) ).
cnf(c_2514,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_98,c_1]) ).
cnf(c_113,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_2514]) ).
cnf(c_2515,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_98,c_12]) ).
cnf(c_115,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_2515]) ).
cnf(c_2516,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_99,c_3]) ).
cnf(c_117,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_2516]) ).
cnf(c_139,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_115]) ).
cnf(c_142,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_139,c_113]) ).
cnf(c_144,plain,
join(converse(A),converse(complement(A))) = top,
inference(paramod,[status(thm)],[c_142,c_44]) ).
cnf(c_165,plain,
join(A,converse(complement(converse(A)))) = top,
inference(paramod,[status(thm)],[c_11,c_144]) ).
cnf(c_2517,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_91,c_117]) ).
cnf(c_2518,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_1,c_2517]) ).
cnf(c_221,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_91,c_2518]) ).
cnf(c_2519,plain,
join(complement(complement(A)),complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_93,c_91]) ).
cnf(c_2520,plain,
join(A,complement(join(complement(join(B,A)),complement(complement(join(A,complement(B))))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_73,c_2519]) ).
cnf(c_2521,plain,
join(A,complement(join(complement(join(B,A)),join(A,complement(B))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_73,c_2520]) ).
cnf(c_2522,plain,
join(A,complement(join(join(A,complement(B)),complement(join(B,A))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_1,c_2521]) ).
cnf(c_2523,plain,
join(A,complement(join(A,join(complement(B),complement(join(B,A)))))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_3,c_2522]) ).
cnf(c_2524,plain,
join(A,complement(join(A,complement(B)))) = complement(complement(join(B,A))),
inference(paramod,[status(thm)],[c_221,c_2523]) ).
cnf(c_240,plain,
join(A,complement(join(A,complement(B)))) = join(B,A),
inference(paramod,[status(thm)],[c_73,c_2524]) ).
cnf(c_2525,plain,
join(complement(complement(A)),complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_93,c_93]) ).
cnf(c_2526,plain,
join(A,complement(join(complement(join(A,complement(B))),complement(complement(join(B,A)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_73,c_2525]) ).
cnf(c_2527,plain,
join(A,complement(join(complement(join(A,complement(B))),join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_73,c_2526]) ).
cnf(c_2528,plain,
join(A,complement(join(join(B,A),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_1,c_2527]) ).
cnf(c_2529,plain,
join(A,complement(join(B,join(A,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_3,c_2528]) ).
cnf(c_2530,plain,
join(A,complement(join(B,join(B,A)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_240,c_2529]) ).
cnf(c_2531,plain,
join(A,complement(join(B,A))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_117,c_2530]) ).
cnf(c_242,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_73,c_2531]) ).
cnf(c_2532,plain,
join(converse(complement(A)),complement(top)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_144,c_242]) ).
cnf(c_2533,plain,
join(converse(complement(A)),zero) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_19,c_2532]) ).
cnf(c_2534,plain,
join(zero,converse(complement(A))) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_1,c_2533]) ).
cnf(c_2535,plain,
converse(complement(A)) = join(converse(complement(A)),complement(converse(A))),
inference(paramod,[status(thm)],[c_75,c_2534]) ).
cnf(c_2536,plain,
converse(complement(A)) = join(complement(converse(A)),converse(complement(A))),
inference(paramod,[status(thm)],[c_1,c_2535]) ).
cnf(c_373,plain,
join(complement(converse(A)),converse(complement(A))) = converse(complement(A)),
inference(copy,[status(thm)],[c_2536]) ).
cnf(c_2537,plain,
join(converse(complement(converse(A))),complement(top)) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_165,c_242]) ).
cnf(c_2538,plain,
join(converse(complement(converse(A))),zero) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_19,c_2537]) ).
cnf(c_2539,plain,
join(zero,converse(complement(converse(A)))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_1,c_2538]) ).
cnf(c_2540,plain,
converse(complement(converse(A))) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_75,c_2539]) ).
cnf(c_2541,plain,
converse(complement(converse(A))) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1,c_2540]) ).
cnf(c_377,plain,
join(complement(A),converse(complement(converse(A)))) = converse(complement(converse(A))),
inference(copy,[status(thm)],[c_2541]) ).
cnf(c_2542,plain,
converse(converse(complement(A))) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_373,c_12]) ).
cnf(c_2543,plain,
complement(A) = join(converse(complement(converse(A))),converse(converse(complement(A)))),
inference(paramod,[status(thm)],[c_11,c_2542]) ).
cnf(c_2544,plain,
complement(A) = join(converse(complement(converse(A))),complement(A)),
inference(paramod,[status(thm)],[c_11,c_2543]) ).
cnf(c_2545,plain,
complement(A) = join(complement(A),converse(complement(converse(A)))),
inference(paramod,[status(thm)],[c_1,c_2544]) ).
cnf(c_2546,plain,
complement(A) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_377,c_2545]) ).
cnf(c_423,plain,
converse(complement(converse(A))) = complement(A),
inference(copy,[status(thm)],[c_2546]) ).
cnf(c_443,plain,
converse(complement(A)) = complement(converse(A)),
inference(paramod,[status(thm)],[c_423,c_11]) ).
cnf(c_2547,plain,
join(complement(A),composition(converse(complement(composition(B,converse(A)))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_423,c_38]) ).
cnf(c_2548,plain,
join(complement(A),composition(complement(converse(composition(B,converse(A)))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_443,c_2547]) ).
cnf(c_2549,plain,
join(complement(A),composition(complement(composition(converse(converse(A)),converse(B))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_13,c_2548]) ).
cnf(c_2550,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = converse(complement(converse(A))),
inference(paramod,[status(thm)],[c_11,c_2549]) ).
cnf(c_2551,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = complement(converse(converse(A))),
inference(paramod,[status(thm)],[c_443,c_2550]) ).
cnf(c_447,plain,
join(complement(A),composition(complement(composition(A,converse(B))),B)) = complement(A),
inference(paramod,[status(thm)],[c_11,c_2551]) ).
cnf(c_2490,plain,
join(complement(A),composition(complement(composition(A,B)),converse(B))) = complement(A),
inference(paramod,[status(thm)],[c_11,c_447]) ).
cnf(c_2491,plain,
$false,
inference(resolve,[status(thm)],[c_2490,c_27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 05:27:40 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.35 % Process 460105 was started by sandbox on n006,
% 0.10/0.35 % Sat Sep 26 05:27:40 2026
% 0.10/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 31.50/4.50
% 31.50/4.50 % SZS status Unsatisfiable for theBenchmark
% 31.50/4.50
% 31.50/4.50 % Proof 1 at 3.11 (+ 0.96) seconds.
% 31.50/4.50 % Length of proof is 57.
% 31.50/4.50 % Level of proof is 20.
% 31.50/4.50 % Maximum clause weight is 30.000.
% 31.50/4.50 % Given clauses 459.
% 31.50/4.50
% 31.50/4.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------