%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL041-2 : 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 : 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 08:25:04 AM UTC 2026
% Result : Unsatisfiable 4.30s 1.21s
% Output : CNFRefutation 4.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 117 ( 117 unt; 0 def)
% Number of atoms : 117 ( 116 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 : 9 ( 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 : 159 ( 16 sgn 28 !; 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_1143,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_1143]) ).
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_associativity_5,axiom,
! [VAR_0,VAR_1,VAR_2] : composition(VAR_0,composition(VAR_1,VAR_2)) = composition(composition(VAR_0,VAR_1),VAR_2),
file('theBenchmark.p',composition_associativity_5) ).
cnf(c_7,plain,
composition(A,composition(B,C)) = composition(composition(A,B),C),
inference(clausify,[status(thm)],[composition_associativity_5]) ).
cnf(c_8,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(copy,[status(thm)],[c_7]) ).
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_1144,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_1145,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_1144]) ).
cnf(c_19,plain,
complement(top) = zero,
inference(copy,[status(thm)],[c_1145]) ).
fof(dedekind_law_14,axiom,
! [VAR_0,VAR_1,VAR_2] : join(meet(composition(VAR_0,VAR_1),VAR_2),composition(meet(VAR_0,composition(VAR_2,converse(VAR_1))),meet(VAR_1,composition(converse(VAR_0),VAR_2)))) = composition(meet(VAR_0,composition(VAR_2,converse(VAR_1))),meet(VAR_1,composition(converse(VAR_0),VAR_2))),
file('theBenchmark.p',dedekind_law_14) ).
cnf(c_20,plain,
join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(clausify,[status(thm)],[dedekind_law_14]) ).
cnf(c_1146,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_20]) ).
cnf(c_1147,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_1146]) ).
cnf(c_1148,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_1147]) ).
cnf(c_1149,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(complement(join(complement(A),complement(composition(C,converse(B))))),meet(B,composition(converse(A),C))),
inference(paramod,[status(thm)],[c_6,c_1148]) ).
cnf(c_21,plain,
join(complement(join(complement(composition(A,B)),complement(C))),composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C)))))) = composition(complement(join(complement(A),complement(composition(C,converse(B))))),complement(join(complement(B),complement(composition(converse(A),C))))),
inference(paramod,[status(thm)],[c_6,c_1149]) ).
fof(goals_17,axiom,
join(composition(converse(sk1),sk1),one) = one,
file('theBenchmark.p',goals_17) ).
cnf(c_26,plain,
join(composition(converse(sk1),sk1),one) = one,
inference(clausify,[status(thm)],[goals_17]) ).
cnf(c_27,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(paramod,[status(thm)],[c_1,c_26]) ).
fof(goals_18,axiom,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
file('theBenchmark.p',goals_18) ).
cnf(c_28,plain,
meet(composition(sk1,sk2),composition(sk1,complement(sk2))) != zero,
inference(clausify,[status(thm)],[goals_18]) ).
cnf(c_29,plain,
complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,complement(sk2))))) != zero,
inference(paramod,[status(thm)],[c_6,c_28]) ).
cnf(c_1150,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_1,c_3]) ).
cnf(c_31,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_3,c_1150]) ).
cnf(c_33,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_5]) ).
cnf(c_1151,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_36,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_1151]) ).
cnf(c_1152,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_43,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_19,c_1152]) ).
cnf(c_1153,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_1154,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_19,c_1153]) ).
cnf(c_44,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_1,c_1154]) ).
cnf(c_1155,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(paramod,[status(thm)],[c_19,c_15]) ).
cnf(c_49,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(paramod,[status(thm)],[c_19,c_1155]) ).
cnf(c_1156,plain,
composition(one,A) = join(composition(one,A),composition(composition(converse(sk1),sk1),A)),
inference(paramod,[status(thm)],[c_27,c_10]) ).
cnf(c_1157,plain,
composition(one,A) = join(composition(one,A),composition(converse(sk1),composition(sk1,A))),
inference(paramod,[status(thm)],[c_8,c_1156]) ).
cnf(c_52,plain,
join(composition(one,A),composition(converse(sk1),composition(sk1,A))) = composition(one,A),
inference(copy,[status(thm)],[c_1157]) ).
cnf(c_1158,plain,
join(A,top) = join(B,join(A,complement(B))),
inference(paramod,[status(thm)],[c_17,c_31]) ).
cnf(c_54,plain,
join(A,join(B,complement(A))) = join(B,top),
inference(copy,[status(thm)],[c_1158]) ).
cnf(c_1159,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_36]) ).
cnf(c_66,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_1159]) ).
cnf(c_1160,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_66,c_9]) ).
cnf(c_68,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_1160]) ).
cnf(c_72,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_66,c_15]) ).
cnf(c_73,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_68,c_66]) ).
cnf(c_74,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_73,c_72]) ).
cnf(c_1161,plain,
join(A,composition(converse(sk1),composition(sk1,A))) = composition(one,A),
inference(paramod,[status(thm)],[c_73,c_52]) ).
cnf(c_75,plain,
join(A,composition(converse(sk1),composition(sk1,A))) = A,
inference(paramod,[status(thm)],[c_73,c_1161]) ).
cnf(c_76,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_74,c_44]) ).
cnf(c_1162,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_33]) ).
cnf(c_1163,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_1162]) ).
cnf(c_1164,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_19,c_1163]) ).
cnf(c_79,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_1164]) ).
cnf(c_80,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_79,c_43]) ).
cnf(c_81,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_80,c_79]) ).
cnf(c_82,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_80,c_76]) ).
cnf(c_83,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_82,c_81]) ).
cnf(c_85,plain,
composition(converse(A),complement(composition(A,top))) = zero,
inference(paramod,[status(thm)],[c_82,c_49]) ).
cnf(c_1165,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_83,c_17]) ).
cnf(c_1166,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_3,c_1165]) ).
cnf(c_105,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_1166]) ).
cnf(c_107,plain,
join(A,join(B,complement(A))) = top,
inference(paramod,[status(thm)],[c_105,c_54]) ).
cnf(c_1167,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_105,c_1]) ).
cnf(c_120,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_1167]) ).
cnf(c_1168,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_105,c_12]) ).
cnf(c_122,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_1168]) ).
cnf(c_146,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_122]) ).
cnf(c_149,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_146,c_120]) ).
cnf(c_182,plain,
composition(top,complement(composition(top,top))) = zero,
inference(paramod,[status(thm)],[c_149,c_85]) ).
cnf(c_1169,plain,
composition(join(top,A),complement(composition(top,top))) = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_182,c_10]) ).
cnf(c_1170,plain,
composition(top,complement(composition(top,top))) = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_120,c_1169]) ).
cnf(c_1171,plain,
zero = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_182,c_1170]) ).
cnf(c_1172,plain,
zero = composition(A,complement(composition(top,top))),
inference(paramod,[status(thm)],[c_82,c_1171]) ).
cnf(c_189,plain,
composition(A,complement(composition(top,top))) = zero,
inference(copy,[status(thm)],[c_1172]) ).
cnf(c_1173,plain,
zero = composition(A,composition(B,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_189,c_8]) ).
cnf(c_1174,plain,
zero = composition(A,zero),
inference(paramod,[status(thm)],[c_189,c_1173]) ).
cnf(c_191,plain,
composition(A,zero) = zero,
inference(copy,[status(thm)],[c_1174]) ).
cnf(c_237,plain,
join(complement(A),join(B,A)) = top,
inference(paramod,[status(thm)],[c_80,c_107]) ).
cnf(c_1175,plain,
join(complement(composition(converse(sk1),composition(sk1,A))),A) = top,
inference(paramod,[status(thm)],[c_75,c_237]) ).
cnf(c_261,plain,
join(A,complement(composition(converse(sk1),composition(sk1,A)))) = top,
inference(paramod,[status(thm)],[c_1,c_1175]) ).
cnf(c_1176,plain,
join(complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))),composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(top))) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_261,c_21]) ).
cnf(c_1177,plain,
join(complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))),composition(complement(join(complement(sk1),complement(composition(sk1,composition(complement(A),converse(A)))))),complement(top))) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_8,c_1176]) ).
cnf(c_1178,plain,
join(complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))),composition(complement(join(complement(sk1),complement(composition(sk1,composition(complement(A),converse(A)))))),zero)) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_19,c_1177]) ).
cnf(c_1179,plain,
join(complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))),zero) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_191,c_1178]) ).
cnf(c_1180,plain,
join(zero,complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A)))))) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_1,c_1179]) ).
cnf(c_1181,plain,
complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))) = composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_82,c_1180]) ).
cnf(c_1182,plain,
complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))) = composition(complement(join(complement(sk1),complement(composition(sk1,composition(complement(A),converse(A)))))),complement(join(complement(A),complement(composition(converse(sk1),composition(sk1,complement(A))))))),
inference(paramod,[status(thm)],[c_8,c_1181]) ).
cnf(c_1183,plain,
complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))) = composition(complement(join(complement(sk1),complement(composition(sk1,composition(complement(A),converse(A)))))),complement(top)),
inference(paramod,[status(thm)],[c_261,c_1182]) ).
cnf(c_1184,plain,
complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))) = composition(complement(join(complement(sk1),complement(composition(sk1,composition(complement(A),converse(A)))))),zero),
inference(paramod,[status(thm)],[c_19,c_1183]) ).
cnf(c_1141,plain,
complement(join(complement(composition(sk1,A)),complement(composition(sk1,complement(A))))) = zero,
inference(paramod,[status(thm)],[c_191,c_1184]) ).
cnf(c_1142,plain,
$false,
inference(resolve,[status(thm)],[c_1141,c_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL041-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n020.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 05:41:06 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.09/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.58 % Process 768424 was started by sandbox on n020,
% 0.09/0.58 % Sat Sep 26 05:41:06 2026
% 0.09/0.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.58
% 0.09/0.58 % From the command line: assign(max_seconds, 300).
% 4.30/1.21
% 4.30/1.21 % SZS status Unsatisfiable for theBenchmark
% 4.30/1.21
% 4.30/1.21 % Proof 1 at 0.43 (+ 0.13) seconds.
% 4.30/1.21 % Length of proof is 59.
% 4.30/1.21 % Level of proof is 17.
% 4.30/1.21 % Maximum clause weight is 64.000.
% 4.30/1.21 % Given clauses 229.
% 4.30/1.21
% 4.30/1.21 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------