%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL006+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 : n012.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 08:24:45 AM UTC 2026
% Result : Theorem 0.97s 0.60s
% Output : CNFRefutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 12
% Syntax : Number of formulae : 138 ( 134 unt; 0 def)
% Number of atoms : 142 ( 141 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 167 ( 15 sgn 23 !; 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_identity,axiom,
! [X0] : composition(X0,one) = X0,
file('theBenchmark.p',composition_identity) ).
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(goals,conjecture,
! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1] :
( meet(converse(X0),X1) = zero
=> meet(X0,converse(X1)) = zero ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_15,plain,
join(A,B) = join(B,A),
inference(clausify,[status(thm)],[maddux1_join_commutativity]) ).
cnf(c_16,plain,
join(join(A,B),C) = join(A,join(B,C)),
inference(clausify,[status(thm)],[maddux2_join_associativity]) ).
cnf(c_17,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_18,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = A,
inference(paramod,[status(thm)],[c_15,c_17]) ).
cnf(c_19,plain,
meet(A,B) = complement(join(complement(A),complement(B))),
inference(clausify,[status(thm)],[maddux4_definiton_of_meet]) ).
cnf(c_21,plain,
composition(A,one) = A,
inference(clausify,[status(thm)],[composition_identity]) ).
cnf(c_23,plain,
converse(converse(A)) = A,
inference(clausify,[status(thm)],[converse_idempotence]) ).
cnf(c_24,plain,
converse(join(A,B)) = join(converse(A),converse(B)),
inference(clausify,[status(thm)],[converse_additivity]) ).
cnf(c_25,plain,
converse(composition(A,B)) = composition(converse(B),converse(A)),
inference(clausify,[status(thm)],[converse_multiplicativity]) ).
cnf(c_26,plain,
complement(A) = join(composition(converse(B),complement(composition(B,A))),complement(A)),
inference(clausify,[status(thm)],[converse_cancellativity]) ).
cnf(c_820,plain,
complement(A) = join(complement(A),composition(converse(B),complement(composition(B,A)))),
inference(paramod,[status(thm)],[c_15,c_26]) ).
cnf(c_27,plain,
join(complement(A),composition(converse(B),complement(composition(B,A)))) = complement(A),
inference(copy,[status(thm)],[c_820]) ).
cnf(c_28,plain,
join(A,complement(A)) = top,
inference(clausify,[status(thm)],[def_top]) ).
cnf(c_29,plain,
meet(A,complement(A)) = zero,
inference(clausify,[status(thm)],[def_zero]) ).
cnf(c_821,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_19,c_29]) ).
cnf(c_822,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_28,c_821]) ).
cnf(c_30,plain,
zero = complement(top),
inference(copy,[status(thm)],[c_822]) ).
fof(nnf_14,plain,
? [X0,X1] :
( meet(X0,converse(X1)) != zero
& meet(converse(X0),X1) = zero ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( meet(sK0,converse(sK1)) != zero
& meet(converse(sK0),sK1) = zero ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[nnf_14]) ).
cnf(c_31,negated_conjecture,
meet(converse(sK0),sK1) = zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_823,negated_conjecture,
complement(join(complement(converse(sK0)),complement(sK1))) = zero,
inference(paramod,[status(thm)],[c_19,c_31]) ).
cnf(c_824,negated_conjecture,
complement(join(complement(sK1),complement(converse(sK0)))) = zero,
inference(paramod,[status(thm)],[c_15,c_823]) ).
cnf(c_32,negated_conjecture,
complement(join(complement(sK1),complement(converse(sK0)))) = complement(top),
inference(paramod,[status(thm)],[c_30,c_824]) ).
cnf(c_33,negated_conjecture,
meet(sK0,converse(sK1)) != zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_825,negated_conjecture,
complement(join(complement(sK0),complement(converse(sK1)))) != zero,
inference(paramod,[status(thm)],[c_19,c_33]) ).
cnf(c_34,negated_conjecture,
complement(join(complement(sK0),complement(converse(sK1)))) != complement(top),
inference(paramod,[status(thm)],[c_30,c_825]) ).
cnf(c_826,plain,
join(join(A,B),C) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_15,c_16]) ).
cnf(c_36,plain,
join(A,join(B,C)) = join(B,join(A,C)),
inference(paramod,[status(thm)],[c_16,c_826]) ).
cnf(c_37,plain,
join(complement(join(A,complement(B))),complement(join(complement(B),complement(A)))) = B,
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_38,plain,
join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_827,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_21,c_25]) ).
cnf(c_41,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_827]) ).
cnf(c_828,plain,
join(top,A) = join(B,join(complement(B),A)),
inference(paramod,[status(thm)],[c_28,c_16]) ).
cnf(c_46,plain,
join(A,join(complement(A),B)) = join(top,B),
inference(copy,[status(thm)],[c_828]) ).
cnf(c_829,plain,
join(complement(join(complement(A),complement(A))),complement(top)) = A,
inference(paramod,[status(thm)],[c_28,c_18]) ).
cnf(c_48,plain,
join(complement(top),complement(join(complement(A),complement(A)))) = A,
inference(paramod,[status(thm)],[c_15,c_829]) ).
cnf(c_830,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_28,c_24]) ).
cnf(c_50,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_830]) ).
cnf(c_831,plain,
join(complement(join(complement(sK1),converse(sK0))),complement(top)) = sK1,
inference(paramod,[status(thm)],[c_32,c_18]) ).
cnf(c_53,plain,
join(complement(top),complement(join(complement(sK1),converse(sK0)))) = sK1,
inference(paramod,[status(thm)],[c_15,c_831]) ).
cnf(c_832,plain,
join(A,top) = join(B,join(A,complement(B))),
inference(paramod,[status(thm)],[c_28,c_36]) ).
cnf(c_54,plain,
join(A,join(B,complement(A))) = join(B,top),
inference(copy,[status(thm)],[c_832]) ).
cnf(c_833,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_23,c_41]) ).
cnf(c_59,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_23,c_833]) ).
cnf(c_834,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_59,c_21]) ).
cnf(c_61,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_834]) ).
cnf(c_65,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_59,c_27]) ).
cnf(c_66,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_61,c_59]) ).
cnf(c_67,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_66,c_65]) ).
cnf(c_68,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_67,c_48]) ).
cnf(c_86,plain,
join(A,converse(complement(converse(A)))) = converse(top),
inference(paramod,[status(thm)],[c_23,c_50]) ).
cnf(c_835,plain,
join(A,converse(top)) = join(converse(B),join(A,converse(complement(B)))),
inference(paramod,[status(thm)],[c_50,c_36]) ).
cnf(c_89,plain,
join(converse(A),join(B,converse(complement(A)))) = join(B,converse(top)),
inference(copy,[status(thm)],[c_835]) ).
cnf(c_836,plain,
join(complement(join(complement(complement(A)),top)),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_68,c_38]) ).
cnf(c_837,plain,
join(complement(join(top,complement(complement(A)))),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_15,c_836]) ).
cnf(c_100,plain,
join(complement(A),complement(join(top,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_15,c_837]) ).
cnf(c_838,plain,
join(A,complement(A)) = join(top,complement(A)),
inference(paramod,[status(thm)],[c_67,c_46]) ).
cnf(c_839,plain,
top = join(top,complement(A)),
inference(paramod,[status(thm)],[c_28,c_838]) ).
cnf(c_125,plain,
join(top,complement(A)) = top,
inference(copy,[status(thm)],[c_839]) ).
cnf(c_840,plain,
join(join(complement(A),B),A) = join(top,complement(join(complement(B),complement(A)))),
inference(paramod,[status(thm)],[c_38,c_46]) ).
cnf(c_841,plain,
join(A,join(complement(A),B)) = join(top,complement(join(complement(B),complement(A)))),
inference(paramod,[status(thm)],[c_15,c_840]) ).
cnf(c_842,plain,
join(top,B) = join(top,complement(join(complement(B),complement(A)))),
inference(paramod,[status(thm)],[c_46,c_841]) ).
cnf(c_126,plain,
join(top,A) = top,
inference(paramod,[status(thm)],[c_125,c_842]) ).
cnf(c_843,plain,
join(A,converse(top)) = join(top,converse(complement(converse(complement(A))))),
inference(paramod,[status(thm)],[c_86,c_46]) ).
cnf(c_127,plain,
join(A,converse(top)) = top,
inference(paramod,[status(thm)],[c_126,c_843]) ).
cnf(c_844,plain,
join(A,join(top,B)) = join(top,join(complement(complement(A)),B)),
inference(paramod,[status(thm)],[c_46,c_46]) ).
cnf(c_845,plain,
join(A,top) = join(top,join(complement(complement(A)),B)),
inference(paramod,[status(thm)],[c_126,c_844]) ).
cnf(c_128,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_126,c_845]) ).
cnf(c_129,plain,
join(complement(A),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_126,c_100]) ).
cnf(c_136,plain,
join(converse(A),join(B,converse(complement(A)))) = top,
inference(paramod,[status(thm)],[c_127,c_89]) ).
cnf(c_138,plain,
join(A,join(B,complement(A))) = top,
inference(paramod,[status(thm)],[c_128,c_54]) ).
cnf(c_846,plain,
complement(A) = join(complement(top),complement(A)),
inference(paramod,[status(thm)],[c_129,c_15]) ).
cnf(c_164,plain,
join(complement(top),complement(A)) = complement(A),
inference(copy,[status(thm)],[c_846]) ).
cnf(c_847,plain,
join(complement(join(complement(A),top)),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_129,c_18]) ).
cnf(c_848,plain,
join(complement(join(top,complement(A))),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_15,c_847]) ).
cnf(c_849,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_126,c_848]) ).
cnf(c_167,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_164,c_849]) ).
cnf(c_850,plain,
join(complement(join(top,complement(A))),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_129,c_37]) ).
cnf(c_851,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_126,c_850]) ).
cnf(c_172,plain,
join(complement(top),A) = A,
inference(paramod,[status(thm)],[c_167,c_851]) ).
cnf(c_178,plain,
complement(join(complement(sK1),converse(sK0))) = sK1,
inference(paramod,[status(thm)],[c_172,c_53]) ).
cnf(c_852,plain,
join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_167,c_18]) ).
cnf(c_183,plain,
join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
inference(paramod,[status(thm)],[c_167,c_852]) ).
cnf(c_853,plain,
join(complement(join(A,B)),complement(join(complement(complement(B)),complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_167,c_37]) ).
cnf(c_185,plain,
join(complement(join(A,B)),complement(join(B,complement(A)))) = complement(B),
inference(paramod,[status(thm)],[c_167,c_853]) ).
cnf(c_854,plain,
join(A,complement(complement(A))) = complement(complement(A)),
inference(paramod,[status(thm)],[c_167,c_67]) ).
cnf(c_855,plain,
join(A,A) = complement(complement(A)),
inference(paramod,[status(thm)],[c_167,c_854]) ).
cnf(c_186,plain,
join(A,A) = A,
inference(paramod,[status(thm)],[c_167,c_855]) ).
cnf(c_856,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_186,c_16]) ).
cnf(c_198,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_856]) ).
cnf(c_857,plain,
complement(sK1) = join(complement(sK1),converse(sK0)),
inference(paramod,[status(thm)],[c_178,c_167]) ).
cnf(c_203,plain,
join(complement(sK1),converse(sK0)) = complement(sK1),
inference(copy,[status(thm)],[c_857]) ).
cnf(c_287,plain,
join(complement(A),join(B,A)) = top,
inference(paramod,[status(thm)],[c_167,c_138]) ).
cnf(c_400,plain,
join(converse(complement(A)),join(B,converse(A))) = top,
inference(paramod,[status(thm)],[c_167,c_136]) ).
cnf(c_858,plain,
join(converse(complement(sK0)),complement(sK1)) = top,
inference(paramod,[status(thm)],[c_203,c_400]) ).
cnf(c_501,plain,
join(complement(sK1),converse(complement(sK0))) = top,
inference(paramod,[status(thm)],[c_15,c_858]) ).
cnf(c_859,plain,
join(complement(join(A,B)),complement(A)) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_183,c_198]) ).
cnf(c_860,plain,
join(complement(A),complement(join(A,B))) = join(complement(join(A,B)),complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_15,c_859]) ).
cnf(c_611,plain,
join(complement(A),complement(join(A,B))) = complement(A),
inference(paramod,[status(thm)],[c_183,c_860]) ).
cnf(c_651,plain,
join(complement(A),complement(join(B,A))) = complement(A),
inference(paramod,[status(thm)],[c_15,c_611]) ).
cnf(c_861,plain,
join(A,complement(join(B,complement(A)))) = complement(complement(A)),
inference(paramod,[status(thm)],[c_167,c_651]) ).
cnf(c_673,plain,
join(A,complement(join(B,complement(A)))) = A,
inference(paramod,[status(thm)],[c_167,c_861]) ).
cnf(c_862,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_183,c_185]) ).
cnf(c_863,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_167,c_862]) ).
cnf(c_864,plain,
join(A,complement(join(complement(join(A,complement(B))),join(A,B)))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_167,c_863]) ).
cnf(c_865,plain,
join(A,complement(join(join(A,B),complement(join(A,complement(B)))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_15,c_864]) ).
cnf(c_866,plain,
join(A,complement(join(A,join(B,complement(join(A,complement(B))))))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_16,c_865]) ).
cnf(c_867,plain,
join(A,complement(join(A,B))) = complement(complement(join(A,complement(B)))),
inference(paramod,[status(thm)],[c_673,c_866]) ).
cnf(c_722,plain,
join(A,complement(join(A,B))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_167,c_867]) ).
cnf(c_733,plain,
join(A,complement(join(B,A))) = join(A,complement(B)),
inference(paramod,[status(thm)],[c_15,c_722]) ).
cnf(c_868,plain,
join(converse(complement(sK0)),complement(top)) = join(converse(complement(sK0)),complement(complement(sK1))),
inference(paramod,[status(thm)],[c_501,c_733]) ).
cnf(c_869,plain,
join(complement(top),converse(complement(sK0))) = join(converse(complement(sK0)),complement(complement(sK1))),
inference(paramod,[status(thm)],[c_15,c_868]) ).
cnf(c_870,plain,
converse(complement(sK0)) = join(converse(complement(sK0)),complement(complement(sK1))),
inference(paramod,[status(thm)],[c_172,c_869]) ).
cnf(c_871,plain,
converse(complement(sK0)) = join(converse(complement(sK0)),sK1),
inference(paramod,[status(thm)],[c_167,c_870]) ).
cnf(c_872,plain,
converse(complement(sK0)) = join(sK1,converse(complement(sK0))),
inference(paramod,[status(thm)],[c_15,c_871]) ).
cnf(c_792,plain,
join(sK1,converse(complement(sK0))) = converse(complement(sK0)),
inference(copy,[status(thm)],[c_872]) ).
cnf(c_873,plain,
converse(converse(complement(sK0))) = join(converse(sK1),converse(converse(complement(sK0)))),
inference(paramod,[status(thm)],[c_792,c_24]) ).
cnf(c_874,plain,
complement(sK0) = join(converse(sK1),converse(converse(complement(sK0)))),
inference(paramod,[status(thm)],[c_23,c_873]) ).
cnf(c_875,plain,
complement(sK0) = join(converse(sK1),complement(sK0)),
inference(paramod,[status(thm)],[c_23,c_874]) ).
cnf(c_876,plain,
complement(sK0) = join(complement(sK0),converse(sK1)),
inference(paramod,[status(thm)],[c_15,c_875]) ).
cnf(c_799,plain,
join(complement(sK0),converse(sK1)) = complement(sK0),
inference(copy,[status(thm)],[c_876]) ).
cnf(c_877,plain,
join(complement(converse(sK1)),complement(sK0)) = top,
inference(paramod,[status(thm)],[c_799,c_287]) ).
cnf(c_817,plain,
join(complement(sK0),complement(converse(sK1))) = top,
inference(paramod,[status(thm)],[c_15,c_877]) ).
cnf(c_878,negated_conjecture,
complement(top) != complement(top),
inference(paramod,[status(thm)],[c_817,c_34]) ).
cnf(c_819,negated_conjecture,
$false,
inference(copy,[status(thm)],[c_878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL006+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n012.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 05:25:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 3990782 was started by sandbox2 on n012,
% 0.09/0.36 % Sat Sep 26 05:25:50 2026
% 0.09/0.36 % 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).
% 0.97/0.60
% 0.97/0.60 % SZS status Theorem for theBenchmark
% 0.97/0.60
% 0.97/0.60 % Proof 1 at 0.15 (+ 0.07) seconds.
% 0.97/0.60 % Length of proof is 76.
% 0.97/0.60 % Level of proof is 22.
% 0.97/0.60 % Maximum clause weight is 26.000.
% 0.97/0.60 % Given clauses 172.
% 0.97/0.60
% 0.97/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------