%------------------------------------------------------------------------------
% 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/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 0.93s 0.60s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 14
% Syntax : Number of formulae : 123 ( 119 unt; 0 def)
% Number of atoms : 127 ( 126 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 141 ( 9 sgn 31 !; 3 ?)
% 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(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(modular_law_1,axiom,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2)) = meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2),
file('theBenchmark.p',modular_law_1) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = zero ),
file('theBenchmark.p',goals) ).
fof(goals_neg,negated_conjecture,
~ ! [X0,X1,X2] :
( meet(X0,composition(converse(X1),X2)) = zero
=> meet(composition(X1,X0),X2) = 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_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_412,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_412]) ).
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_413,plain,
complement(join(complement(A),complement(complement(A)))) = zero,
inference(paramod,[status(thm)],[c_22,c_32]) ).
cnf(c_414,plain,
complement(top) = zero,
inference(paramod,[status(thm)],[c_31,c_413]) ).
cnf(c_33,plain,
zero = complement(top),
inference(copy,[status(thm)],[c_414]) ).
cnf(c_36,plain,
meet(composition(A,meet(B,composition(converse(A),C))),C) = join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),
inference(clausify,[status(thm)],[modular_law_1]) ).
cnf(c_415,plain,
meet(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))),C) = join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),
inference(paramod,[status(thm)],[c_22,c_36]) ).
cnf(c_416,plain,
complement(join(complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))),complement(C))) = join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),
inference(paramod,[status(thm)],[c_22,c_415]) ).
cnf(c_417,plain,
complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))) = join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)),
inference(paramod,[status(thm)],[c_18,c_416]) ).
cnf(c_418,plain,
complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))) = join(complement(join(complement(composition(A,B)),complement(C))),meet(composition(A,meet(B,composition(converse(A),C))),C)),
inference(paramod,[status(thm)],[c_22,c_417]) ).
cnf(c_419,plain,
complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))) = join(complement(join(complement(composition(A,B)),complement(C))),meet(composition(A,complement(join(complement(B),complement(composition(converse(A),C))))),C)),
inference(paramod,[status(thm)],[c_22,c_418]) ).
cnf(c_420,plain,
complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))) = 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)))),
inference(paramod,[status(thm)],[c_22,c_419]) ).
cnf(c_421,plain,
complement(join(complement(C),complement(composition(A,complement(join(complement(B),complement(composition(converse(A),C)))))))) = 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))))))))),
inference(paramod,[status(thm)],[c_18,c_420]) ).
cnf(c_37,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(copy,[status(thm)],[c_421]) ).
fof(nnf_17,plain,
? [X0,X1,X2] :
( meet(composition(X1,X0),X2) != zero
& meet(X0,composition(converse(X1),X2)) = zero ),
inference(fof_nnf,[status(thm)],[goals_neg]) ).
fof(sk_goals_neg,plain,
( meet(composition(sK1,sK0),sK2) != zero
& meet(sK0,composition(converse(sK1),sK2)) = zero ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[nnf_17]) ).
cnf(c_40,negated_conjecture,
meet(sK0,composition(converse(sK1),sK2)) = zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_422,negated_conjecture,
complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))) = zero,
inference(paramod,[status(thm)],[c_22,c_40]) ).
cnf(c_41,negated_conjecture,
complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))) = complement(top),
inference(paramod,[status(thm)],[c_33,c_422]) ).
cnf(c_42,negated_conjecture,
meet(composition(sK1,sK0),sK2) != zero,
inference(split_conjunct,[status(thm)],[sk_goals_neg]) ).
cnf(c_423,negated_conjecture,
complement(join(complement(composition(sK1,sK0)),complement(sK2))) != zero,
inference(paramod,[status(thm)],[c_22,c_42]) ).
cnf(c_424,negated_conjecture,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) != zero,
inference(paramod,[status(thm)],[c_18,c_423]) ).
cnf(c_43,negated_conjecture,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) != complement(top),
inference(paramod,[status(thm)],[c_33,c_424]) ).
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_425,plain,
converse(A) = composition(converse(one),converse(A)),
inference(paramod,[status(thm)],[c_24,c_28]) ).
cnf(c_54,plain,
composition(converse(one),converse(A)) = converse(A),
inference(copy,[status(thm)],[c_425]) ).
cnf(c_66,plain,
join(complement(top),complement(join(complement(A),complement(complement(complement(A)))))) = A,
inference(paramod,[status(thm)],[c_31,c_21]) ).
cnf(c_426,plain,
converse(top) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_31,c_27]) ).
cnf(c_69,plain,
join(converse(A),converse(complement(A))) = converse(top),
inference(copy,[status(thm)],[c_426]) ).
cnf(c_427,plain,
join(complement(join(complement(top),A)),complement(join(complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))),complement(A)))) = join(complement(sK0),complement(composition(converse(sK1),sK2))),
inference(paramod,[status(thm)],[c_41,c_21]) ).
cnf(c_428,plain,
join(complement(join(complement(top),A)),complement(join(complement(top),complement(A)))) = join(complement(sK0),complement(composition(converse(sK1),sK2))),
inference(paramod,[status(thm)],[c_41,c_427]) ).
cnf(c_429,plain,
top = join(complement(sK0),complement(composition(converse(sK1),sK2))),
inference(paramod,[status(thm)],[c_21,c_428]) ).
cnf(c_88,plain,
join(complement(sK0),complement(composition(converse(sK1),sK2))) = top,
inference(copy,[status(thm)],[c_429]) ).
cnf(c_430,plain,
join(complement(join(complement(composition(sK1,sK0)),complement(sK2))),complement(join(complement(sK2),complement(composition(sK1,complement(top)))))) = complement(join(complement(sK2),complement(composition(sK1,complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))))))),
inference(paramod,[status(thm)],[c_41,c_37]) ).
cnf(c_431,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),complement(composition(sK1,complement(top)))))) = complement(join(complement(sK2),complement(composition(sK1,complement(join(complement(sK0),complement(composition(converse(sK1),sK2)))))))),
inference(paramod,[status(thm)],[c_18,c_430]) ).
cnf(c_92,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),complement(composition(sK1,complement(top)))))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_88,c_431]) ).
cnf(c_432,plain,
join(complement(join(complement(complement(A)),A)),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_31,c_47]) ).
cnf(c_433,plain,
join(complement(join(A,complement(complement(A)))),complement(top)) = complement(A),
inference(paramod,[status(thm)],[c_18,c_432]) ).
cnf(c_115,plain,
join(complement(top),complement(join(A,complement(complement(A))))) = complement(A),
inference(paramod,[status(thm)],[c_18,c_433]) ).
cnf(c_121,plain,
complement(complement(A)) = A,
inference(paramod,[status(thm)],[c_115,c_66]) ).
cnf(c_122,plain,
join(complement(top),complement(join(A,A))) = complement(A),
inference(paramod,[status(thm)],[c_121,c_115]) ).
cnf(c_434,plain,
composition(converse(one),A) = converse(converse(A)),
inference(paramod,[status(thm)],[c_26,c_54]) ).
cnf(c_126,plain,
composition(converse(one),A) = A,
inference(paramod,[status(thm)],[c_26,c_434]) ).
cnf(c_435,plain,
one = converse(one),
inference(paramod,[status(thm)],[c_126,c_24]) ).
cnf(c_135,plain,
converse(one) = one,
inference(copy,[status(thm)],[c_435]) ).
cnf(c_139,plain,
join(complement(A),complement(composition(one,A))) = complement(A),
inference(paramod,[status(thm)],[c_126,c_30]) ).
cnf(c_154,plain,
composition(one,A) = A,
inference(paramod,[status(thm)],[c_135,c_126]) ).
cnf(c_159,plain,
join(complement(A),complement(A)) = complement(A),
inference(paramod,[status(thm)],[c_154,c_139]) ).
cnf(c_436,plain,
join(complement(join(complement(A),A)),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_159,c_21]) ).
cnf(c_437,plain,
join(complement(join(A,complement(A))),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_18,c_436]) ).
cnf(c_438,plain,
join(complement(top),complement(complement(A))) = A,
inference(paramod,[status(thm)],[c_31,c_437]) ).
cnf(c_163,plain,
join(complement(top),A) = A,
inference(paramod,[status(thm)],[c_121,c_438]) ).
cnf(c_166,plain,
complement(join(A,A)) = complement(A),
inference(paramod,[status(thm)],[c_163,c_122]) ).
cnf(c_439,plain,
join(complement(join(complement(A),B)),complement(join(complement(join(A,A)),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_166,c_21]) ).
cnf(c_440,plain,
join(complement(join(complement(A),B)),complement(join(complement(A),complement(B)))) = join(A,A),
inference(paramod,[status(thm)],[c_166,c_439]) ).
cnf(c_441,plain,
A = join(A,A),
inference(paramod,[status(thm)],[c_21,c_440]) ).
cnf(c_234,plain,
join(A,A) = A,
inference(copy,[status(thm)],[c_441]) ).
cnf(c_442,plain,
join(A,B) = join(A,join(A,B)),
inference(paramod,[status(thm)],[c_234,c_19]) ).
cnf(c_237,plain,
join(A,join(A,B)) = join(A,B),
inference(copy,[status(thm)],[c_442]) ).
cnf(c_262,plain,
join(one,converse(complement(one))) = converse(top),
inference(paramod,[status(thm)],[c_135,c_69]) ).
cnf(c_443,plain,
join(A,top) = join(A,complement(A)),
inference(paramod,[status(thm)],[c_31,c_237]) ).
cnf(c_307,plain,
join(A,top) = top,
inference(paramod,[status(thm)],[c_31,c_443]) ).
cnf(c_444,plain,
join(converse(A),converse(top)) = join(converse(A),converse(complement(A))),
inference(paramod,[status(thm)],[c_69,c_237]) ).
cnf(c_308,plain,
join(converse(A),converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_69,c_444]) ).
cnf(c_445,plain,
join(one,converse(top)) = join(one,converse(complement(one))),
inference(paramod,[status(thm)],[c_262,c_237]) ).
cnf(c_309,plain,
join(one,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_262,c_445]) ).
cnf(c_446,plain,
top = join(top,A),
inference(paramod,[status(thm)],[c_307,c_18]) ).
cnf(c_311,plain,
join(top,A) = top,
inference(copy,[status(thm)],[c_446]) ).
cnf(c_447,plain,
composition(converse(top),A) = join(composition(one,A),composition(converse(top),A)),
inference(paramod,[status(thm)],[c_309,c_25]) ).
cnf(c_448,plain,
composition(converse(top),A) = join(A,composition(converse(top),A)),
inference(paramod,[status(thm)],[c_154,c_447]) ).
cnf(c_344,plain,
join(A,composition(converse(top),A)) = composition(converse(top),A),
inference(copy,[status(thm)],[c_448]) ).
cnf(c_348,plain,
join(A,converse(top)) = converse(top),
inference(paramod,[status(thm)],[c_26,c_308]) ).
cnf(c_353,plain,
converse(top) = top,
inference(paramod,[status(thm)],[c_348,c_311]) ).
cnf(c_449,plain,
join(A,composition(top,A)) = composition(converse(top),A),
inference(paramod,[status(thm)],[c_353,c_344]) ).
cnf(c_358,plain,
join(A,composition(top,A)) = composition(top,A),
inference(paramod,[status(thm)],[c_353,c_449]) ).
cnf(c_382,plain,
composition(top,top) = top,
inference(paramod,[status(thm)],[c_358,c_311]) ).
cnf(c_450,plain,
join(complement(top),composition(converse(top),complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_382,c_30]) ).
cnf(c_451,plain,
join(complement(top),composition(top,complement(top))) = complement(top),
inference(paramod,[status(thm)],[c_353,c_450]) ).
cnf(c_384,plain,
composition(top,complement(top)) = complement(top),
inference(paramod,[status(thm)],[c_358,c_451]) ).
cnf(c_452,plain,
composition(join(top,A),complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_384,c_25]) ).
cnf(c_453,plain,
composition(top,complement(top)) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_311,c_452]) ).
cnf(c_454,plain,
complement(top) = join(complement(top),composition(A,complement(top))),
inference(paramod,[status(thm)],[c_384,c_453]) ).
cnf(c_455,plain,
complement(top) = composition(A,complement(top)),
inference(paramod,[status(thm)],[c_163,c_454]) ).
cnf(c_409,plain,
composition(A,complement(top)) = complement(top),
inference(copy,[status(thm)],[c_455]) ).
cnf(c_456,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),complement(complement(top))))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_409,c_92]) ).
cnf(c_457,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(complement(sK2),top))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_121,c_456]) ).
cnf(c_458,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(join(top,complement(sK2)))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_18,c_457]) ).
cnf(c_459,plain,
join(complement(join(complement(sK2),complement(composition(sK1,sK0)))),complement(top)) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_311,c_458]) ).
cnf(c_460,plain,
join(complement(top),complement(join(complement(sK2),complement(composition(sK1,sK0))))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_18,c_459]) ).
cnf(c_461,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = complement(join(complement(sK2),complement(composition(sK1,complement(top))))),
inference(paramod,[status(thm)],[c_163,c_460]) ).
cnf(c_462,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = complement(join(complement(sK2),complement(complement(top)))),
inference(paramod,[status(thm)],[c_409,c_461]) ).
cnf(c_463,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = complement(join(complement(sK2),top)),
inference(paramod,[status(thm)],[c_121,c_462]) ).
cnf(c_464,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = complement(join(top,complement(sK2))),
inference(paramod,[status(thm)],[c_18,c_463]) ).
cnf(c_410,plain,
complement(join(complement(sK2),complement(composition(sK1,sK0)))) = complement(top),
inference(paramod,[status(thm)],[c_311,c_464]) ).
cnf(c_411,plain,
$false,
inference(resolve,[status(thm)],[c_410,c_43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n019.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 05:26:34 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 479077 was started by sandbox on n019,
% 0.17/0.43 % Sat Sep 26 05:26:34 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.93/0.60
% 0.93/0.60 % SZS status Theorem for theBenchmark
% 0.93/0.60
% 0.93/0.60 % Proof 1 at 0.11 (+ 0.03) seconds.
% 0.93/0.60 % Length of proof is 67.
% 0.93/0.60 % Level of proof is 19.
% 0.93/0.60 % Maximum clause weight is 97.000.
% 0.93/0.60 % Given clauses 58.
% 0.93/0.60
% 0.93/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------