%------------------------------------------------------------------------------
% 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 : Theorem 4.22s 0.94s
% Output : CNFRefutation 4.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 15
% Syntax : Number of formulae : 116 ( 112 unt; 0 def)
% Number of atoms : 120 ( 119 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 161 ( 16 sgn 32 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('theBenchmark.p',maddux1_join_commutativity) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('theBenchmark.p',maddux2_join_associativity) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('theBenchmark.p',maddux4_definiton_of_meet) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('theBenchmark.p',composition_associativity) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0,
file('theBenchmark.p',composition_identity) ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('theBenchmark.p',composition_distributivity) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0,
file('theBenchmark.p',converse_idempotence) ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('theBenchmark.p',converse_additivity) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('theBenchmark.p',converse_multiplicativity) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('theBenchmark.p',converse_cancellativity) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)),
file('theBenchmark.p',def_top) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('theBenchmark.p',def_zero) ).
fof(dedekind_law,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('theBenchmark.p',dedekind_law) ).
fof(goals,conjecture,
! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0] :
( join(composition(converse(X0),X0),one) = one
=> ! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_18,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_19,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_20,plain,
join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) = A,
inference(clausify,[status(thm)],[maddux3_a_kind_of_de_Morgan]) ).
cnf(c_21,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(paramod,[status(thm)],[c_18,c_20]) ).
cnf(c_22,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_23,plain,
composition(composition(A,B),C) = composition(A,composition(B,C)),
inference(clausify,[status(thm)],[composition_associativity]) ).
cnf(c_24,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity]) ).
cnf(c_25,plain,
composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
inference(clausify,[status(thm)],[composition_distributivity]) ).
cnf(c_26,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence]) ).
cnf(c_27,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity]) ).
cnf(c_28,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity]) ).
cnf(c_29,plain,
complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)),
inference(clausify,[status(thm)],[converse_cancellativity]) ).
cnf(c_1157,plain,
complement(A) = join(complement(A),composition(converse(B),complement(composition(B,A)))),
inference(paramod,[status(thm)],[c_18,c_29]) ).
cnf(c_30,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(copy,[status(thm)],[c_1157]) ).
cnf(c_31,plain,
join(A,complement(A)) = top,
inference(clausify,[status(thm)],[def_top]) ).
cnf(c_32,plain,
meet(A,complement(A)) = zero,
inference(clausify,[status(thm)],[def_zero]) ).
cnf(c_1158,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_22,c_32]) ).
cnf(c_33,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_31,c_1158]) ).
cnf(c_34,plain,
composition(meet(A,composition(B,converse(C))),meet(C,composition(converse(A),B))) = join(meet(composition(A,C),B),composition(meet(A,composition(B,converse(C))),meet(C,composition(converse(A),B)))),
inference(clausify,[status(thm)],[dedekind_law]) ).
cnf(c_1159,plain,
composition(complement(join(complement(A),complement(composition(B,converse(C))))),meet(C,composition(converse(A),B))) = join(meet(composition(A,C),B),composition(meet(A,composition(B,converse(C))),meet(C,composition(converse(A),B)))),
inference(paramod,[status(thm)],[c_22,c_34]) ).
cnf(c_1160,plain,
composition(complement(join(complement(A),complement(composition(B,converse(C))))),complement(join(complement(C),complement(composition(converse(A),B))))) = join(meet(composition(A,C),B),composition(meet(A,composition(B,converse(C))),meet(C,composition(converse(A),B)))),
inference(paramod,[status(thm)],[c_22,c_1159]) ).
cnf(c_1161,plain,
composition(complement(join(complement(A),complement(composition(B,converse(C))))),complement(join(complement(C),complement(composition(converse(A),B))))) = join(complement(join(complement(composition(A,C)),complement(B))),composition(meet(A,composition(B,converse(C))),meet(C,composition(converse(A),B)))),
inference(paramod,[status(thm)],[c_22,c_1160]) ).
cnf(c_1162,plain,
composition(complement(join(complement(A),complement(composition(B,converse(C))))),complement(join(complement(C),complement(composition(converse(A),B))))) = join(complement(join(complement(composition(A,C)),complement(B))),composition(complement(join(complement(A),complement(composition(B,converse(C))))),meet(C,composition(converse(A),B)))),
inference(paramod,[status(thm)],[c_22,c_1161]) ).
cnf(c_1163,plain,
composition(complement(join(complement(A),complement(composition(B,converse(C))))),complement(join(complement(C),complement(composition(converse(A),B))))) = join(complement(join(complement(composition(A,C)),complement(B))),composition(complement(join(complement(A),complement(composition(B,converse(C))))),complement(join(complement(C),complement(composition(converse(A),B)))))),
inference(paramod,[status(thm)],[c_22,c_1162]) ).
cnf(c_35,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(copy,[status(thm)],[c_1163]) ).
fof(nnf_17,plain,
? [X0] :
( ? [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) != zero
& join(composition(converse(X0),X0),one) = one ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( meet(composition(sK0,sK1),composition(sK0,complement(sK1))) != zero
& join(composition(converse(sK0),sK0),one) = one ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[nnf_17]) ).
cnf(c_40,negated_conjecture,
join(composition(converse(sK0),sK0),one) = one,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_41,negated_conjecture,
join(one,composition(converse(sK0),sK0)) = one,
inference(paramod,[status(thm)],[c_18,c_40]) ).
cnf(c_42,negated_conjecture,
meet(composition(sK0,sK1),composition(sK0,complement(sK1))) != zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_43,negated_conjecture,
complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,complement(sK1))))) != zero,
inference(paramod,[status(thm)],[c_22,c_42]) ).
cnf(c_1164,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_18,c_19]) ).
cnf(c_45,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_19,c_1164]) ).
cnf(c_47,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_21]) ).
cnf(c_1165,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_50,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_1165]) ).
cnf(c_1166,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_57,plain,
join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_33,c_1166]) ).
cnf(c_1167,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_1168,plain,
join(complement(join(complement(A),complement(A))),zero) = A,
inference(paramod,[status(thm)],[c_33,c_1167]) ).
cnf(c_58,plain,
join(zero,complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_18,c_1168]) ).
cnf(c_1169,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = complement(top),
inference(paramod,[status(thm)],[c_33,c_30]) ).
cnf(c_63,plain,
join(zero,composition(converse(A),complement(composition(A,top)))) = zero,
inference(paramod,[status(thm)],[c_33,c_1169]) ).
cnf(c_1170,plain,
composition(one,A) = join(composition(one,A),composition(composition(converse(sK0),sK0),A)),
inference(paramod,[status(thm)],[c_41,c_25]) ).
cnf(c_1171,plain,
composition(one,A) = join(composition(one,A),composition(converse(sK0),composition(sK0,A))),
inference(paramod,[status(thm)],[c_23,c_1170]) ).
cnf(c_66,plain,
join(composition(one,A),composition(converse(sK0),composition(sK0,A))) = composition(one,A),
inference(copy,[status(thm)],[c_1171]) ).
cnf(c_1172,plain,
join(A,top) = join(B,join(A,complement(B))),
inference(paramod,[status(thm)],[c_31,c_45]) ).
cnf(c_68,plain,
join(A,join(B,complement(A))) = join(B,top),
inference(copy,[status(thm)],[c_1172]) ).
cnf(c_1173,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_50]) ).
cnf(c_80,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_26,c_1173]) ).
cnf(c_1174,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_80,c_24]) ).
cnf(c_82,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_1174]) ).
cnf(c_86,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_80,c_30]) ).
cnf(c_87,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_82,c_80]) ).
cnf(c_88,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_87,c_86]) ).
cnf(c_1175,plain,
join(A,composition(converse(sK0),composition(sK0,A))) = composition(one,A),
inference(paramod,[status(thm)],[c_87,c_66]) ).
cnf(c_89,plain,
join(A,composition(converse(sK0),composition(sK0,A))) = A,
inference(paramod,[status(thm)],[c_87,c_1175]) ).
cnf(c_90,plain,
join(zero,complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_88,c_58]) ).
cnf(c_1176,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_31,c_47]) ).
cnf(c_1177,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_18,c_1176]) ).
cnf(c_1178,plain,
join(complement(join(A,complement(complement(A)))),zero) = complement(A),
inference(paramod,[status(thm)],[c_33,c_1177]) ).
cnf(c_93,plain,
join(zero,complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_18,c_1178]) ).
cnf(c_94,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_93,c_57]) ).
cnf(c_95,plain,
join(zero,complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_94,c_93]) ).
cnf(c_96,plain,
join(zero,A) = A,
inference(paramod,[status(thm)],[c_94,c_90]) ).
cnf(c_97,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_96,c_95]) ).
cnf(c_99,plain,
composition(converse(A),complement(composition(A,top))) = zero,
inference(paramod,[status(thm)],[c_96,c_63]) ).
cnf(c_1179,plain,
join(join(A,A),complement(A)) = top,
inference(paramod,[status(thm)],[c_97,c_31]) ).
cnf(c_1180,plain,
join(A,join(A,complement(A))) = top,
inference(paramod,[status(thm)],[c_19,c_1179]) ).
cnf(c_119,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_31,c_1180]) ).
cnf(c_121,plain,
join(A,join(B,complement(A))) = top,
inference(paramod,[status(thm)],[c_119,c_68]) ).
cnf(c_1181,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_119,c_18]) ).
cnf(c_134,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_1181]) ).
cnf(c_1182,plain,
converse(top) = join(converse(A),converse(top)),
inference(paramod,[status(thm)],[c_119,c_27]) ).
cnf(c_136,plain,
join(converse(A),converse(top)) = converse(top),
inference(copy,[status(thm)],[c_1182]) ).
cnf(c_160,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_26,c_136]) ).
cnf(c_163,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_160,c_134]) ).
cnf(c_196,plain,
composition(top,complement(composition(top,top))) = zero,
inference(paramod,[status(thm)],[c_163,c_99]) ).
cnf(c_1183,plain,
composition(join(top,A),complement(composition(top,top))) = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_196,c_25]) ).
cnf(c_1184,plain,
composition(top,complement(composition(top,top))) = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_134,c_1183]) ).
cnf(c_1185,plain,
zero = join(zero,composition(A,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_196,c_1184]) ).
cnf(c_1186,plain,
zero = composition(A,complement(composition(top,top))),
inference(paramod,[status(thm)],[c_96,c_1185]) ).
cnf(c_203,plain,
composition(A,complement(composition(top,top))) = zero,
inference(copy,[status(thm)],[c_1186]) ).
cnf(c_1187,plain,
zero = composition(A,composition(B,complement(composition(top,top)))),
inference(paramod,[status(thm)],[c_203,c_23]) ).
cnf(c_1188,plain,
zero = composition(A,zero),
inference(paramod,[status(thm)],[c_203,c_1187]) ).
cnf(c_205,plain,
composition(A,zero) = zero,
inference(copy,[status(thm)],[c_1188]) ).
cnf(c_251,plain,
join(complement(A),join(B,A)) = top,
inference(paramod,[status(thm)],[c_94,c_121]) ).
cnf(c_1189,plain,
join(complement(composition(converse(sK0),composition(sK0,A))),A) = top,
inference(paramod,[status(thm)],[c_89,c_251]) ).
cnf(c_275,plain,
join(A,complement(composition(converse(sK0),composition(sK0,A)))) = top,
inference(paramod,[status(thm)],[c_18,c_1189]) ).
cnf(c_1190,plain,
join(complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))),composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(top))) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_275,c_35]) ).
cnf(c_1191,plain,
join(complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))),composition(complement(join(complement(sK0),complement(composition(sK0,composition(complement(A),converse(A)))))),complement(top))) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_23,c_1190]) ).
cnf(c_1192,plain,
join(complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))),composition(complement(join(complement(sK0),complement(composition(sK0,composition(complement(A),converse(A)))))),zero)) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_33,c_1191]) ).
cnf(c_1193,plain,
join(complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))),zero) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_205,c_1192]) ).
cnf(c_1194,plain,
join(zero,complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A)))))) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_18,c_1193]) ).
cnf(c_1195,plain,
complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))) = composition(complement(join(complement(sK0),complement(composition(composition(sK0,complement(A)),converse(A))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_96,c_1194]) ).
cnf(c_1196,plain,
complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))) = composition(complement(join(complement(sK0),complement(composition(sK0,composition(complement(A),converse(A)))))),complement(join(complement(A),complement(composition(converse(sK0),composition(sK0,complement(A))))))),
inference(paramod,[status(thm)],[c_23,c_1195]) ).
cnf(c_1197,plain,
complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))) = composition(complement(join(complement(sK0),complement(composition(sK0,composition(complement(A),converse(A)))))),complement(top)),
inference(paramod,[status(thm)],[c_275,c_1196]) ).
cnf(c_1198,plain,
complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))) = composition(complement(join(complement(sK0),complement(composition(sK0,composition(complement(A),converse(A)))))),zero),
inference(paramod,[status(thm)],[c_33,c_1197]) ).
cnf(c_1155,plain,
complement(join(complement(composition(sK0,A)),complement(composition(sK0,complement(A))))) = zero,
inference(paramod,[status(thm)],[c_205,c_1198]) ).
cnf(c_1156,plain,
$false,
inference(resolve,[status(thm)],[c_1155,c_43]) ).
%------------------------------------------------------------------------------
%----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
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 05:40:50 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 767766 was started by sandbox on n020,
% 0.08/0.36 % Sat Sep 26 05:40:50 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 4.22/0.94
% 4.22/0.94 % SZS status Theorem for theBenchmark
% 4.22/0.94
% 4.22/0.94 % Proof 1 at 0.42 (+ 0.15) seconds.
% 4.22/0.94 % Length of proof is 71.
% 4.22/0.94 % Level of proof is 18.
% 4.22/0.94 % Maximum clause weight is 64.000.
% 4.22/0.94 % Given clauses 229.
% 4.22/0.94
% 4.22/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------