%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL026-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:24:54 AM UTC 2026
% Result : Unsatisfiable 14.25s 2.24s
% Output : CNFRefutation 14.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 14
% Syntax : Number of formulae : 124 ( 124 unt; 0 def)
% Number of atoms : 124 ( 123 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 : 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 : 191 ( 4 sgn 22 !; 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_2561,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_2561]) ).
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(composition_distributivity_7,axiom,
! [VAR_0,VAR_1,VAR_2] : composition(join(VAR_0,VAR_1),VAR_2) = join(composition(VAR_0,VAR_2),composition(VAR_1,VAR_2)),
file('theBenchmark.p',composition_distributivity_7) ).
cnf(c_10,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity_7]) ).
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_2562,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_2563,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_2562]) ).
cnf(c_19,plain,
complement(top) = zero,
inference(copy,[status(thm)],[c_2563]) ).
fof(goals_14,axiom,
join(sk1,one) = one,
file('theBenchmark.p',goals_14) ).
cnf(c_20,plain,
join(sk1,one) = one,
inference(clausify,[status(thm)],[goals_14]) ).
cnf(c_21,plain,
join(one,sk1) = one,
inference(paramod,[status(thm)],[c_1,c_20]) ).
fof(goals_15,axiom,
meet(composition(sk1,top),sk2) != composition(sk1,sk2),
file('theBenchmark.p',goals_15) ).
cnf(c_22,plain,
meet(composition(sk1,top),sk2) != composition(sk1,sk2),
inference(clausify,[status(thm)],[goals_15]) ).
cnf(c_2564,plain,
complement(join(complement(composition(sk1,top)),complement(sk2))) != composition(sk1,sk2),
inference(paramod,[status(thm)],[c_6,c_22]) ).
cnf(c_2565,plain,
complement(join(complement(sk2),complement(composition(sk1,top)))) != composition(sk1,sk2),
inference(paramod,[status(thm)],[c_1,c_2564]) ).
cnf(c_23,plain,
composition(sk1,sk2) != complement(join(complement(sk2),complement(composition(sk1,top)))),
inference(copy,[status(thm)],[c_2565]) ).
cnf(c_2566,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_1,c_3]) ).
cnf(c_25,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_2566]) ).
cnf(c_26,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_27,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_2567,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_30,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_2567]) ).
cnf(c_2568,plain,
converse(join(composition(A,B),composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_10,c_13]) ).
cnf(c_2569,plain,
join(converse(composition(A,B)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_12,c_2568]) ).
cnf(c_2570,plain,
join(composition(converse(B),converse(A)),converse(composition(C,B))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_13,c_2569]) ).
cnf(c_2571,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),converse(join(A,C))),
inference(paramod,[status(thm)],[c_13,c_2570]) ).
cnf(c_2572,plain,
join(composition(converse(B),converse(A)),composition(converse(B),converse(C))) = composition(converse(B),join(converse(A),converse(C))),
inference(paramod,[status(thm)],[c_12,c_2571]) ).
cnf(c_31,plain,
composition(converse(A),join(converse(B),converse(C))) = join(composition(converse(A),converse(B)),composition(converse(A),converse(C))),
inference(copy,[status(thm)],[c_2572]) ).
cnf(c_2573,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_37,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_19,c_2573]) ).
cnf(c_2574,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_2575,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_19,c_2574]) ).
cnf(c_38,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_2575]) ).
cnf(c_2576,plain,
composition(one,A) = join(composition(one,A),composition(sk1,A)),
inference(paramod,[status(thm)],[c_21,c_10]) ).
cnf(c_47,plain,
join(composition(one,A),composition(sk1,A)) = composition(one,A),
inference(copy,[status(thm)],[c_2576]) ).
cnf(c_2577,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_30]) ).
cnf(c_61,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_2577]) ).
cnf(c_2578,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_61,c_9]) ).
cnf(c_63,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_2578]) ).
cnf(c_67,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_61,c_15]) ).
cnf(c_68,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_63,c_61]) ).
cnf(c_2579,plain,
join(A,composition(sk1,A)) = composition(one,A),
inference(paramod,[status(thm)],[c_68,c_47]) ).
cnf(c_70,plain,
join(A,composition(sk1,A)) = A,
inference(paramod,[status(thm)],[c_68,c_2579]) ).
cnf(c_71,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_68,c_67]) ).
cnf(c_72,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_71,c_38]) ).
cnf(c_2580,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_27]) ).
cnf(c_2581,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_2580]) ).
cnf(c_2582,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_19,c_2581]) ).
cnf(c_75,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_2582]) ).
cnf(c_76,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_75,c_37]) ).
cnf(c_77,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_76,c_75]) ).
cnf(c_78,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_76,c_72]) ).
cnf(c_79,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_78,c_77]) ).
cnf(c_2583,plain,
join(A,B) = join(B,join(A,composition(sk1,B))),
inference(paramod,[status(thm)],[c_70,c_25]) ).
cnf(c_101,plain,
join(A,join(B,composition(sk1,A))) = join(B,A),
inference(copy,[status(thm)],[c_2583]) ).
cnf(c_2584,plain,
composition(A,join(converse(B),converse(C))) = join(composition(converse(converse(A)),converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_11,c_31]) ).
cnf(c_2585,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(converse(converse(A)),converse(C))),
inference(paramod,[status(thm)],[c_11,c_2584]) ).
cnf(c_103,plain,
composition(A,join(converse(B),converse(C))) = join(composition(A,converse(B)),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_2585]) ).
cnf(c_2586,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_76,c_5]) ).
cnf(c_117,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_76,c_2586]) ).
cnf(c_2587,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_76,c_26]) ).
cnf(c_119,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_76,c_2587]) ).
cnf(c_2588,plain,
complement(complement(A)) = join(A,A),
inference(paramod,[status(thm)],[c_79,c_76]) ).
cnf(c_2589,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_76,c_2588]) ).
cnf(c_126,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_2589]) ).
cnf(c_2590,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_126,c_3]) ).
cnf(c_132,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_2590]) ).
cnf(c_2591,plain,
composition(A,join(B,converse(C))) = join(composition(A,converse(converse(B))),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_103]) ).
cnf(c_393,plain,
composition(A,join(B,converse(C))) = join(composition(A,B),composition(A,converse(C))),
inference(paramod,[status(thm)],[c_11,c_2591]) ).
cnf(c_2592,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_117,c_132]) ).
cnf(c_2593,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_2592]) ).
cnf(c_505,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_117,c_2593]) ).
cnf(c_521,plain,
join(complement(A),complement(join(B,A))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_505]) ).
cnf(c_2594,plain,
join(A,complement(join(B,complement(A)))) = complement(complement(A)),
inference(paramod,[status(thm)],[c_76,c_521]) ).
cnf(c_542,plain,
join(A,complement(join(B,complement(A)))) = A,
inference(paramod,[status(thm)],[c_76,c_2594]) ).
cnf(c_2595,plain,
join(complement(complement(A)),complement(join(complement(join(A,complement(B))),complement(complement(join(A,B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_117,c_119]) ).
cnf(c_2596,plain,
join(A,complement(join(complement(join(A,complement(B))),complement(complement(join(A,B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_76,c_2595]) ).
cnf(c_2597,plain,
join(A,complement(join(complement(join(A,complement(B))),join(A,B)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_76,c_2596]) ).
cnf(c_2598,plain,
join(A,complement(join(join(A,B),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_1,c_2597]) ).
cnf(c_2599,plain,
join(A,complement(join(A,join(B,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_3,c_2598]) ).
cnf(c_2600,plain,
join(A,complement(join(A,B))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_542,c_2599]) ).
cnf(c_600,plain,
join(A,complement(join(A,B))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_76,c_2600]) ).
cnf(c_2601,plain,
composition(A,join(B,C)) = join(composition(A,B),composition(A,converse(converse(C)))),
inference(paramod,[status(thm)],[c_11,c_393]) ).
cnf(c_2375,plain,
composition(A,join(B,C)) = join(composition(A,B),composition(A,C)),
inference(paramod,[status(thm)],[c_11,c_2601]) ).
cnf(c_2602,plain,
composition(A,top) = join(composition(A,B),composition(A,complement(B))),
inference(paramod,[status(thm)],[c_17,c_2375]) ).
cnf(c_2404,plain,
join(composition(A,B),composition(A,complement(B))) = composition(A,top),
inference(copy,[status(thm)],[c_2602]) ).
cnf(c_2603,plain,
join(complement(A),composition(sk1,top)) = join(composition(sk1,A),complement(A)),
inference(paramod,[status(thm)],[c_2404,c_101]) ).
cnf(c_2481,plain,
join(complement(A),composition(sk1,top)) = join(complement(A),composition(sk1,A)),
inference(paramod,[status(thm)],[c_1,c_2603]) ).
cnf(c_2604,plain,
join(complement(join(complement(A),composition(sk1,top))),complement(join(composition(sk1,A),complement(complement(A))))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_2481,c_119]) ).
cnf(c_2605,plain,
join(complement(join(complement(A),composition(sk1,top))),complement(join(composition(sk1,A),A))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_76,c_2604]) ).
cnf(c_2606,plain,
join(complement(join(complement(A),composition(sk1,top))),complement(join(A,composition(sk1,A)))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_1,c_2605]) ).
cnf(c_2607,plain,
join(complement(join(complement(A),composition(sk1,top))),complement(A)) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_70,c_2606]) ).
cnf(c_2608,plain,
join(complement(A),complement(join(complement(A),composition(sk1,top)))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_1,c_2607]) ).
cnf(c_2609,plain,
join(complement(A),complement(composition(sk1,top))) = complement(composition(sk1,A)),
inference(paramod,[status(thm)],[c_600,c_2608]) ).
cnf(c_2509,plain,
complement(composition(sk1,A)) = join(complement(A),complement(composition(sk1,top))),
inference(copy,[status(thm)],[c_2609]) ).
cnf(c_2610,plain,
meet(A,composition(sk1,top)) = complement(complement(composition(sk1,A))),
inference(paramod,[status(thm)],[c_2509,c_6]) ).
cnf(c_2611,plain,
complement(join(complement(A),complement(composition(sk1,top)))) = complement(complement(composition(sk1,A))),
inference(paramod,[status(thm)],[c_6,c_2610]) ).
cnf(c_2612,plain,
complement(join(complement(A),complement(composition(sk1,top)))) = composition(sk1,A),
inference(paramod,[status(thm)],[c_76,c_2611]) ).
cnf(c_2559,plain,
composition(sk1,A) = complement(join(complement(A),complement(composition(sk1,top)))),
inference(copy,[status(thm)],[c_2612]) ).
cnf(c_2560,plain,
$false,
inference(resolve,[status(thm)],[c_2559,c_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL026-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 05:32:29 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 3461169 was started by sandbox2 on n009,
% 0.09/0.37 % Sat Sep 26 05:32:29 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 14.25/2.24
% 14.25/2.24 % SZS status Unsatisfiable for theBenchmark
% 14.25/2.24
% 14.25/2.24 % Proof 1 at 1.37 (+ 0.46) seconds.
% 14.25/2.24 % Length of proof is 58.
% 14.25/2.24 % Level of proof is 17.
% 14.25/2.24 % Maximum clause weight is 30.000.
% 14.25/2.24 % Given clauses 383.
% 14.25/2.24
% 14.25/2.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------