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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : REL012+1 : 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 : n008.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 08:24:48 AM UTC 2026

% Result   : Theorem 19.56s 2.99s
% Output   : CNFRefutation 19.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   46
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  130 ( 130 unt;   0 def)
%            Number of atoms       :  130 ( 129 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   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   :  187 (  11 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] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
    file('theBenchmark.p',goals) ).

fof(goals_neg,negated_conjecture,
    ~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
    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_4985,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_4985]) ).

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_4986,plain,
    complement(join(complement(A),complement(complement(A)))) = zero,
    inference(paramod,[status(thm)],[c_19,c_29]) ).

cnf(c_30,plain,
    complement(top) = zero,
    inference(paramod,[status(thm)],[c_28,c_4986]) ).

fof(nnf_14,plain,
    ? [X0,X1] : complement(X0) != join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)),
    inference(fof_nnf,[status(thm)],[goals_neg]) ).

fof(sk_goals_neg,plain,
    complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[nnf_14]) ).

cnf(c_31,negated_conjecture,
    complement(sK0) != join(composition(complement(composition(sK0,sK1)),converse(sK1)),complement(sK0)),
    inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).

cnf(c_4987,negated_conjecture,
    complement(sK0) != join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))),
    inference(paramod,[status(thm)],[c_15,c_31]) ).

cnf(c_32,negated_conjecture,
    join(complement(sK0),composition(complement(composition(sK0,sK1)),converse(sK1))) != complement(sK0),
    inference(copy,[status(thm)],[c_4987]) ).

cnf(c_4988,plain,
    join(join(A,B),C) = join(B,join(A,C)),
    inference(paramod,[status(thm)],[c_15,c_16]) ).

cnf(c_34,plain,
    join(A,join(B,C)) = join(B,join(A,C)),
    inference(paramod,[status(thm)],[c_16,c_4988]) ).

cnf(c_36,plain,
    join(complement(join(complement(A),B)),complement(join(complement(B),complement(A)))) = A,
    inference(paramod,[status(thm)],[c_15,c_18]) ).

cnf(c_4989,plain,
    join(A,B) = join(complement(join(complement(A),C)),join(complement(join(complement(A),complement(C))),B)),
    inference(paramod,[status(thm)],[c_18,c_16]) ).

cnf(c_37,plain,
    join(complement(join(complement(A),B)),join(complement(join(complement(A),complement(B))),C)) = join(A,C),
    inference(copy,[status(thm)],[c_4989]) ).

cnf(c_4990,plain,
    converse(A) = composition(converse(one),converse(A)),
    inference(paramod,[status(thm)],[c_21,c_25]) ).

cnf(c_43,plain,
    composition(converse(one),converse(A)) = converse(A),
    inference(copy,[status(thm)],[c_4990]) ).

cnf(c_4991,plain,
    converse(complement(A)) = join(converse(complement(A)),converse(composition(converse(B),complement(composition(B,A))))),
    inference(paramod,[status(thm)],[c_27,c_24]) ).

cnf(c_4992,plain,
    converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),converse(converse(B)))),
    inference(paramod,[status(thm)],[c_25,c_4991]) ).

cnf(c_4993,plain,
    converse(complement(A)) = join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)),
    inference(paramod,[status(thm)],[c_23,c_4992]) ).

cnf(c_52,plain,
    join(converse(complement(A)),composition(converse(complement(composition(B,A))),B)) = converse(complement(A)),
    inference(copy,[status(thm)],[c_4993]) ).

cnf(c_4994,plain,
    join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
    inference(paramod,[status(thm)],[c_28,c_18]) ).

cnf(c_55,plain,
    join(zero,complement(join(complement(A),complement(complement(complement(A)))))) = A,
    inference(paramod,[status(thm)],[c_30,c_4994]) ).

cnf(c_4995,plain,
    join(complement(join(complement(A),complement(A))),complement(top)) = A,
    inference(paramod,[status(thm)],[c_28,c_18]) ).

cnf(c_4996,plain,
    join(complement(join(complement(A),complement(A))),zero) = A,
    inference(paramod,[status(thm)],[c_30,c_4995]) ).

cnf(c_56,plain,
    join(zero,complement(join(complement(A),complement(A)))) = A,
    inference(paramod,[status(thm)],[c_15,c_4996]) ).

cnf(c_4997,plain,
    converse(top) = join(converse(A),converse(complement(A))),
    inference(paramod,[status(thm)],[c_28,c_24]) ).

cnf(c_58,plain,
    join(converse(A),converse(complement(A))) = converse(top),
    inference(copy,[status(thm)],[c_4997]) ).

cnf(c_4998,plain,
    join(A,B) = join(complement(join(complement(B),C)),join(A,complement(join(complement(B),complement(C))))),
    inference(paramod,[status(thm)],[c_18,c_34]) ).

cnf(c_64,plain,
    join(complement(join(complement(A),B)),join(C,complement(join(complement(A),complement(B))))) = join(C,A),
    inference(copy,[status(thm)],[c_4998]) ).

cnf(c_4999,plain,
    composition(converse(one),A) = converse(converse(A)),
    inference(paramod,[status(thm)],[c_23,c_43]) ).

cnf(c_73,plain,
    composition(converse(one),A) = A,
    inference(paramod,[status(thm)],[c_23,c_4999]) ).

cnf(c_5000,plain,
    one = converse(one),
    inference(paramod,[status(thm)],[c_73,c_21]) ).

cnf(c_75,plain,
    converse(one) = one,
    inference(copy,[status(thm)],[c_5000]) ).

cnf(c_79,plain,
    join(complement(A),complement(composition(one,A))) = complement(A),
    inference(paramod,[status(thm)],[c_73,c_27]) ).

cnf(c_80,plain,
    composition(one,A) = A,
    inference(paramod,[status(thm)],[c_75,c_73]) ).

cnf(c_81,plain,
    join(complement(A),complement(A)) = complement(A),
    inference(paramod,[status(thm)],[c_80,c_79]) ).

cnf(c_82,plain,
    join(zero,complement(complement(A))) = A,
    inference(paramod,[status(thm)],[c_81,c_56]) ).

cnf(c_5001,plain,
    join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
    inference(paramod,[status(thm)],[c_28,c_36]) ).

cnf(c_5002,plain,
    join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
    inference(paramod,[status(thm)],[c_15,c_5001]) ).

cnf(c_5003,plain,
    join(complement(join(A,complement(complement(A)))),zero) = complement(A),
    inference(paramod,[status(thm)],[c_30,c_5002]) ).

cnf(c_115,plain,
    join(zero,complement(join(A,complement(complement(A))))) = complement(A),
    inference(paramod,[status(thm)],[c_15,c_5003]) ).

cnf(c_121,plain,
    complement(complement(A)) = A,
    inference(paramod,[status(thm)],[c_115,c_55]) ).

cnf(c_127,plain,
    join(zero,A) = A,
    inference(paramod,[status(thm)],[c_121,c_82]) ).

cnf(c_5004,plain,
    join(complement(join(A,B)),complement(join(complement(complement(A)),complement(B)))) = complement(A),
    inference(paramod,[status(thm)],[c_121,c_18]) ).

cnf(c_133,plain,
    join(complement(join(A,B)),complement(join(A,complement(B)))) = complement(A),
    inference(paramod,[status(thm)],[c_121,c_5004]) ).

cnf(c_5005,plain,
    join(A,complement(complement(A))) = complement(complement(A)),
    inference(paramod,[status(thm)],[c_121,c_81]) ).

cnf(c_5006,plain,
    join(A,A) = complement(complement(A)),
    inference(paramod,[status(thm)],[c_121,c_5005]) ).

cnf(c_137,plain,
    join(A,A) = A,
    inference(paramod,[status(thm)],[c_121,c_5006]) ).

cnf(c_5007,plain,
    join(A,B) = join(A,join(A,B)),
    inference(paramod,[status(thm)],[c_137,c_16]) ).

cnf(c_142,plain,
    join(A,join(A,B)) = join(A,B),
    inference(copy,[status(thm)],[c_5007]) ).

cnf(c_5008,plain,
    join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(A,complement(join(complement(A),complement(B)))),
    inference(paramod,[status(thm)],[c_137,c_37]) ).

cnf(c_5009,plain,
    complement(complement(A)) = join(A,complement(join(complement(A),complement(B)))),
    inference(paramod,[status(thm)],[c_133,c_5008]) ).

cnf(c_5010,plain,
    A = join(A,complement(join(complement(A),complement(B)))),
    inference(paramod,[status(thm)],[c_121,c_5009]) ).

cnf(c_155,plain,
    join(A,complement(join(complement(A),complement(B)))) = A,
    inference(copy,[status(thm)],[c_5010]) ).

cnf(c_5011,plain,
    join(complement(join(complement(A),B)),join(complement(join(complement(A),complement(B))),A)) = A,
    inference(paramod,[status(thm)],[c_137,c_37]) ).

cnf(c_5012,plain,
    join(complement(join(complement(A),B)),join(A,complement(join(complement(A),complement(B))))) = A,
    inference(paramod,[status(thm)],[c_15,c_5011]) ).

cnf(c_5013,plain,
    join(complement(join(complement(A),B)),A) = A,
    inference(paramod,[status(thm)],[c_155,c_5012]) ).

cnf(c_156,plain,
    join(A,complement(join(complement(A),B))) = A,
    inference(paramod,[status(thm)],[c_15,c_5013]) ).

cnf(c_184,plain,
    join(A,converse(complement(converse(A)))) = converse(top),
    inference(paramod,[status(thm)],[c_23,c_58]) ).

cnf(c_5014,plain,
    join(A,top) = join(A,complement(A)),
    inference(paramod,[status(thm)],[c_28,c_142]) ).

cnf(c_210,plain,
    join(A,top) = top,
    inference(paramod,[status(thm)],[c_28,c_5014]) ).

cnf(c_5015,plain,
    join(converse(A),converse(top)) = join(converse(A),converse(complement(A))),
    inference(paramod,[status(thm)],[c_58,c_142]) ).

cnf(c_211,plain,
    join(converse(A),converse(top)) = converse(top),
    inference(paramod,[status(thm)],[c_58,c_5015]) ).

cnf(c_5016,plain,
    top = join(top,A),
    inference(paramod,[status(thm)],[c_210,c_15]) ).

cnf(c_214,plain,
    join(top,A) = top,
    inference(copy,[status(thm)],[c_5016]) ).

cnf(c_231,plain,
    join(A,converse(top)) = converse(top),
    inference(paramod,[status(thm)],[c_23,c_211]) ).

cnf(c_236,plain,
    converse(top) = top,
    inference(paramod,[status(thm)],[c_231,c_214]) ).

cnf(c_247,plain,
    join(A,converse(complement(converse(A)))) = top,
    inference(paramod,[status(thm)],[c_236,c_184]) ).

cnf(c_337,plain,
    join(A,complement(join(B,complement(A)))) = A,
    inference(paramod,[status(thm)],[c_15,c_156]) ).

cnf(c_5017,plain,
    join(complement(join(complement(A),B)),B) = join(B,A),
    inference(paramod,[status(thm)],[c_337,c_64]) ).

cnf(c_544,plain,
    join(A,complement(join(complement(B),A))) = join(A,B),
    inference(paramod,[status(thm)],[c_15,c_5017]) ).

cnf(c_5018,plain,
    join(complement(top),complement(join(A,complement(converse(complement(converse(A))))))) = complement(A),
    inference(paramod,[status(thm)],[c_247,c_133]) ).

cnf(c_5019,plain,
    join(zero,complement(join(A,complement(converse(complement(converse(A))))))) = complement(A),
    inference(paramod,[status(thm)],[c_30,c_5018]) ).

cnf(c_1194,plain,
    complement(join(A,complement(converse(complement(converse(A)))))) = complement(A),
    inference(paramod,[status(thm)],[c_127,c_5019]) ).

cnf(c_5020,plain,
    join(converse(complement(converse(complement(A)))),complement(top)) = join(converse(complement(converse(complement(A)))),A),
    inference(paramod,[status(thm)],[c_247,c_544]) ).

cnf(c_5021,plain,
    join(converse(complement(converse(complement(A)))),zero) = join(converse(complement(converse(complement(A)))),A),
    inference(paramod,[status(thm)],[c_30,c_5020]) ).

cnf(c_5022,plain,
    join(zero,converse(complement(converse(complement(A))))) = join(converse(complement(converse(complement(A)))),A),
    inference(paramod,[status(thm)],[c_15,c_5021]) ).

cnf(c_5023,plain,
    converse(complement(converse(complement(A)))) = join(converse(complement(converse(complement(A)))),A),
    inference(paramod,[status(thm)],[c_127,c_5022]) ).

cnf(c_5024,plain,
    converse(complement(converse(complement(A)))) = join(A,converse(complement(converse(complement(A))))),
    inference(paramod,[status(thm)],[c_15,c_5023]) ).

cnf(c_1295,plain,
    join(A,converse(complement(converse(complement(A))))) = converse(complement(converse(complement(A)))),
    inference(copy,[status(thm)],[c_5024]) ).

cnf(c_5025,plain,
    complement(complement(A)) = join(A,complement(converse(complement(converse(A))))),
    inference(paramod,[status(thm)],[c_1194,c_121]) ).

cnf(c_5026,plain,
    A = join(A,complement(converse(complement(converse(A))))),
    inference(paramod,[status(thm)],[c_121,c_5025]) ).

cnf(c_1383,plain,
    join(A,complement(converse(complement(converse(A))))) = A,
    inference(copy,[status(thm)],[c_5026]) ).

cnf(c_5027,plain,
    converse(A) = join(converse(A),converse(complement(converse(complement(converse(A)))))),
    inference(paramod,[status(thm)],[c_1383,c_24]) ).

cnf(c_5028,plain,
    converse(A) = converse(complement(converse(complement(converse(A))))),
    inference(paramod,[status(thm)],[c_1295,c_5027]) ).

cnf(c_1389,plain,
    converse(complement(converse(complement(converse(A))))) = converse(A),
    inference(copy,[status(thm)],[c_5028]) ).

cnf(c_5029,plain,
    converse(converse(A)) = complement(converse(complement(converse(A)))),
    inference(paramod,[status(thm)],[c_1389,c_23]) ).

cnf(c_5030,plain,
    A = complement(converse(complement(converse(A)))),
    inference(paramod,[status(thm)],[c_23,c_5029]) ).

cnf(c_1394,plain,
    complement(converse(complement(converse(A)))) = A,
    inference(copy,[status(thm)],[c_5030]) ).

cnf(c_1402,plain,
    complement(converse(complement(A))) = converse(A),
    inference(paramod,[status(thm)],[c_23,c_1394]) ).

cnf(c_5031,plain,
    complement(converse(A)) = converse(complement(A)),
    inference(paramod,[status(thm)],[c_1402,c_121]) ).

cnf(c_1463,plain,
    converse(complement(A)) = complement(converse(A)),
    inference(copy,[status(thm)],[c_5031]) ).

cnf(c_5032,plain,
    join(converse(converse(A)),composition(converse(complement(composition(B,converse(complement(A))))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_1402,c_52]) ).

cnf(c_5033,plain,
    join(A,composition(converse(complement(composition(B,converse(complement(A))))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_23,c_5032]) ).

cnf(c_5034,plain,
    join(A,composition(converse(complement(composition(B,complement(converse(A))))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_1463,c_5033]) ).

cnf(c_5035,plain,
    join(A,composition(complement(converse(composition(B,complement(converse(A))))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_1463,c_5034]) ).

cnf(c_5036,plain,
    join(A,composition(complement(composition(converse(complement(converse(A))),converse(B))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_25,c_5035]) ).

cnf(c_5037,plain,
    join(A,composition(complement(composition(complement(converse(converse(A))),converse(B))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_1463,c_5036]) ).

cnf(c_5038,plain,
    join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(complement(converse(complement(A)))),
    inference(paramod,[status(thm)],[c_23,c_5037]) ).

cnf(c_5039,plain,
    join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(complement(complement(converse(A)))),
    inference(paramod,[status(thm)],[c_1463,c_5038]) ).

cnf(c_5040,plain,
    join(A,composition(complement(composition(complement(A),converse(B))),B)) = converse(converse(A)),
    inference(paramod,[status(thm)],[c_121,c_5039]) ).

cnf(c_1465,plain,
    join(A,composition(complement(composition(complement(A),converse(B))),B)) = A,
    inference(paramod,[status(thm)],[c_23,c_5040]) ).

cnf(c_3618,plain,
    join(A,composition(complement(composition(complement(A),B)),converse(B))) = A,
    inference(paramod,[status(thm)],[c_23,c_1465]) ).

cnf(c_4983,plain,
    join(complement(A),composition(complement(composition(A,B)),converse(B))) = complement(A),
    inference(paramod,[status(thm)],[c_121,c_3618]) ).

cnf(c_4984,plain,
    $false,
    inference(resolve,[status(thm)],[c_4983,c_32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : REL012+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n008.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 05:28:54 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37  % Process 2864957 was started by sandbox on n008,
% 0.09/0.37  % Sat Sep 26 05:28:54 2026
% 0.09/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.37  
% 0.09/0.37  % From the command line: assign(max_seconds, 300).
% 19.56/2.99  
% 19.56/2.99  % SZS status Theorem for theBenchmark
% 19.56/2.99  
% 19.56/2.99  % Proof 1 at 1.91 (+ 0.61) seconds.
% 19.56/2.99  % Length of proof is 71.
% 19.56/2.99  % Level of proof is 22.
% 19.56/2.99  % Maximum clause weight is 18.000.
% 19.56/2.99  % Given clauses 376.
% 19.56/2.99  
% 19.56/2.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------