%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : REL011-2 : 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 : n001.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 : Unsatisfiable 0.11s 0.46s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 15
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 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 : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 133 ( 9 sgn 25 !; 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_398,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_398]) ).
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_399,plain,
zero = complement(join(complement(A),complement(complement(A)))),
inference(paramod,[status(thm)],[c_6,c_18]) ).
cnf(c_19,plain,
zero = complement(top),
inference(paramod,[status(thm)],[c_17,c_399]) ).
fof(modular_law_1_15,axiom,
! [VAR_0,VAR_1,VAR_2] : join(meet(composition(VAR_0,VAR_1),VAR_2),meet(composition(VAR_0,meet(VAR_1,composition(converse(VAR_0),VAR_2))),VAR_2)) = meet(composition(VAR_0,meet(VAR_1,composition(converse(VAR_0),VAR_2))),VAR_2),
file('theBenchmark.p',modular_law_1_15) ).
cnf(c_22,plain,
join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C),
inference(clausify,[status(thm)],[modular_law_1_15]) ).
cnf(c_400,plain,
join(complement(join(complement(composition(A,B)),complement(C))),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C),
inference(paramod,[status(thm)],[c_6,c_22]) ).
cnf(c_401,plain,
join(complement(join(complement(composition(A,B)),complement(C))),meet(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C),
inference(paramod,[status(thm)],[c_6,c_400]) ).
cnf(c_402,plain,
join(complement(join(complement(composition(A,B)),complement(C))),complement(join(complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))),complement(C)))) = meet(composition(A,meet(B,composition(converse(A),C))),C),
inference(paramod,[status(thm)],[c_6,c_401]) ).
cnf(c_403,plain,
join(complement(join(complement(composition(A,B)),complement(C))),complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))))))) = meet(composition(A,meet(B,composition(converse(A),C))),C),
inference(paramod,[status(thm)],[c_1,c_402]) ).
cnf(c_404,plain,
join(complement(join(complement(composition(A,B)),complement(C))),complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))))))) = meet(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))),C),
inference(paramod,[status(thm)],[c_6,c_403]) ).
cnf(c_405,plain,
join(complement(join(complement(composition(A,B)),complement(C))),complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))))))) = complement(join(complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))),complement(C))),
inference(paramod,[status(thm)],[c_6,c_404]) ).
cnf(c_23,plain,
join(complement(join(complement(composition(A,B)),complement(C))),complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))))))) = complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))),
inference(paramod,[status(thm)],[c_1,c_405]) ).
fof(goals_17,axiom,
meet(sk1,composition(converse(sk2),sk3)) = zero,
file('theBenchmark.p',goals_17) ).
cnf(c_26,plain,
meet(sk1,composition(converse(sk2),sk3)) = zero,
inference(clausify,[status(thm)],[goals_17]) ).
cnf(c_406,plain,
complement(join(complement(sk1),complement(composition(converse(sk2),sk3)))) = zero,
inference(paramod,[status(thm)],[c_6,c_26]) ).
cnf(c_27,plain,
complement(join(complement(sk1),complement(composition(converse(sk2),sk3)))) = complement(top),
inference(paramod,[status(thm)],[c_19,c_406]) ).
fof(goals_18,axiom,
meet(composition(sk2,sk1),sk3) != zero,
file('theBenchmark.p',goals_18) ).
cnf(c_28,plain,
meet(composition(sk2,sk1),sk3) != zero,
inference(clausify,[status(thm)],[goals_18]) ).
cnf(c_407,plain,
complement(join(complement(composition(sk2,sk1)),complement(sk3))) != zero,
inference(paramod,[status(thm)],[c_6,c_28]) ).
cnf(c_408,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) != zero,
inference(paramod,[status(thm)],[c_1,c_407]) ).
cnf(c_29,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) != complement(top),
inference(paramod,[status(thm)],[c_19,c_408]) ).
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_409,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_9,c_13]) ).
cnf(c_40,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_409]) ).
cnf(c_52,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_17,c_5]) ).
cnf(c_410,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_17,c_12]) ).
cnf(c_55,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_410]) ).
cnf(c_411,plain,
join(complement(join(complement(top),A)),complement(join(complement(join(complement(sk1),complement(composition(converse(sk2),sk3)))),complement(A)))) = join(complement(sk1),complement(composition(converse(sk2),sk3))),
inference(paramod,[status(thm)],[c_27,c_5]) ).
cnf(c_412,plain,
join(complement(join(complement(top),A)),complement(join(complement(top),complement(A)))) = join(complement(sk1),complement(composition(converse(sk2),sk3))),
inference(paramod,[status(thm)],[c_27,c_411]) ).
cnf(c_413,plain,
top = join(complement(sk1),complement(composition(converse(sk2),sk3))),
inference(paramod,[status(thm)],[c_5,c_412]) ).
cnf(c_74,plain,
join(complement(sk1),complement(composition(converse(sk2),sk3))) = top,
inference(copy,[status(thm)],[c_413]) ).
cnf(c_414,plain,
join(complement(join(complement(composition(sk2,sk1)),complement(sk3))),complement(join(complement(sk3),complement(composition(sk2,complement(top)))))) = complement(join(complement(sk3),complement(composition(sk2,complement(join(complement(sk1),complement(composition(converse(sk2),sk3)))))))),
inference(paramod,[status(thm)],[c_27,c_23]) ).
cnf(c_415,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(join(complement(sk3),complement(composition(sk2,complement(top)))))) = complement(join(complement(sk3),complement(composition(sk2,complement(join(complement(sk1),complement(composition(converse(sk2),sk3)))))))),
inference(paramod,[status(thm)],[c_1,c_414]) ).
cnf(c_78,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(join(complement(sk3),complement(composition(sk2,complement(top)))))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_74,c_415]) ).
cnf(c_416,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_17,c_33]) ).
cnf(c_417,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_1,c_416]) ).
cnf(c_101,plain,
join(complement(top),complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_1,c_417]) ).
cnf(c_107,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_101,c_52]) ).
cnf(c_108,plain,
join(complement(top),complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_107,c_101]) ).
cnf(c_418,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_11,c_40]) ).
cnf(c_112,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_11,c_418]) ).
cnf(c_419,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_112,c_9]) ).
cnf(c_121,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_419]) ).
cnf(c_125,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_112,c_15]) ).
cnf(c_140,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_121,c_112]) ).
cnf(c_145,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_140,c_125]) ).
cnf(c_420,plain,
join(complement(join(complement(A),A)),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_145,c_5]) ).
cnf(c_421,plain,
join(complement(join(A,complement(A))),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_1,c_420]) ).
cnf(c_422,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_17,c_421]) ).
cnf(c_149,plain,
join(complement(top),A) = A,
inference(paramod,[status(thm)],[c_107,c_422]) ).
cnf(c_152,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_149,c_108]) ).
cnf(c_423,plain,
join(complement(join(complement(A),B)),complement(join(complement(join(A,A)),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_152,c_5]) ).
cnf(c_424,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_152,c_423]) ).
cnf(c_425,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_5,c_424]) ).
cnf(c_220,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_425]) ).
cnf(c_426,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_220,c_3]) ).
cnf(c_223,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_426]) ).
cnf(c_248,plain,
join(one,converse(complement(one))) = converse(top),
inference(paramod,[status(thm)],[c_121,c_55]) ).
cnf(c_427,plain,
join(A,top) = join(A,complement(A)),
inference(paramod,[status(thm)],[c_17,c_223]) ).
cnf(c_293,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_17,c_427]) ).
cnf(c_428,plain,
join(converse(A),converse(top)) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_55,c_223]) ).
cnf(c_294,plain,
join(converse(A),converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_55,c_428]) ).
cnf(c_429,plain,
join(one,converse(top)) = join(one,converse(complement(one))),
inference(paramod,[status(thm)],[c_248,c_223]) ).
cnf(c_295,plain,
join(one,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_248,c_429]) ).
cnf(c_430,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_293,c_1]) ).
cnf(c_297,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_430]) ).
cnf(c_431,plain,
composition(converse(top),A) = join(composition(one,A),composition(converse(top),A)),
inference(paramod,[status(thm)],[c_295,c_10]) ).
cnf(c_432,plain,
composition(converse(top),A) = join(A,composition(converse(top),A)),
inference(paramod,[status(thm)],[c_140,c_431]) ).
cnf(c_330,plain,
join(A,composition(converse(top),A)) = composition(converse(top),A),
inference(copy,[status(thm)],[c_432]) ).
cnf(c_334,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_11,c_294]) ).
cnf(c_339,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_334,c_297]) ).
cnf(c_433,plain,
join(A,composition(top,A)) = composition(converse(top),A),
inference(paramod,[status(thm)],[c_339,c_330]) ).
cnf(c_344,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_339,c_433]) ).
cnf(c_368,plain,
composition(top,top) = top,
inference(paramod,[status(thm)],[c_344,c_297]) ).
cnf(c_434,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_368,c_15]) ).
cnf(c_435,plain,
join(complement(top),composition(top,complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_339,c_434]) ).
cnf(c_370,plain,
composition(top,complement(top)) = complement(top),
inference(paramod,[status(thm)],[c_344,c_435]) ).
cnf(c_436,plain,
composition(join(top,A),complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_370,c_10]) ).
cnf(c_437,plain,
composition(top,complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_297,c_436]) ).
cnf(c_438,plain,
complement(top) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_370,c_437]) ).
cnf(c_439,plain,
complement(top) = composition(A,complement(top)),
inference(paramod,[status(thm)],[c_149,c_438]) ).
cnf(c_395,plain,
composition(A,complement(top)) = complement(top),
inference(copy,[status(thm)],[c_439]) ).
cnf(c_440,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(join(complement(sk3),complement(complement(top))))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_395,c_78]) ).
cnf(c_441,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(join(complement(sk3),top))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_107,c_440]) ).
cnf(c_442,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(join(top,complement(sk3)))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_1,c_441]) ).
cnf(c_443,plain,
join(complement(join(complement(sk3),complement(composition(sk2,sk1)))),complement(top)) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_297,c_442]) ).
cnf(c_444,plain,
join(complement(top),complement(join(complement(sk3),complement(composition(sk2,sk1))))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_1,c_443]) ).
cnf(c_445,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) = complement(join(complement(sk3),complement(composition(sk2,complement(top))))),
inference(paramod,[status(thm)],[c_149,c_444]) ).
cnf(c_446,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) = complement(join(complement(sk3),complement(complement(top)))),
inference(paramod,[status(thm)],[c_395,c_445]) ).
cnf(c_447,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) = complement(join(complement(sk3),top)),
inference(paramod,[status(thm)],[c_107,c_446]) ).
cnf(c_448,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) = complement(join(top,complement(sk3))),
inference(paramod,[status(thm)],[c_1,c_447]) ).
cnf(c_396,plain,
complement(join(complement(sk3),complement(composition(sk2,sk1)))) = complement(top),
inference(paramod,[status(thm)],[c_297,c_448]) ).
cnf(c_397,plain,
$false,
inference(resolve,[status(thm)],[c_396,c_29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL011-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 05:33:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.38 % Process 998525 was started by sandbox2 on n001,
% 0.11/0.38 % Sat Sep 26 05:33:57 2026
% 0.11/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.11/0.38
% 0.11/0.38 % From the command line: assign(max_seconds, 300).
% 0.11/0.46
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46
% 0.11/0.46 % Proof 1 at 0.05 (+ 0.01) seconds.
% 0.11/0.46 % Length of proof is 55.
% 0.11/0.46 % Level of proof is 18.
% 0.11/0.46 % Maximum clause weight is 97.000.
% 0.11/0.46 % Given clauses 58.
% 0.11/0.46
% 0.11/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------