%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL006-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Tue Sep 29 12:33:39 PM UTC 2026
% Result : Unsatisfiable 4.56s 1.65s
% Output : Refutation 6.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 14
% Syntax : Number of formulae : 143 ( 143 unt; 0 def)
% Number of atoms : 143 ( 142 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 147 ( 147 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
meet(converse(sk1),sk2) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
zero = meet(converse(sk1),sk2),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
zero != meet(sk1,converse(sk2)),
inference(reorient_equations,[],[f19]) ).
fof(f22,plain,
! [X2,X0,X1] : meet(X2,join(complement(X0),complement(X1))) = complement(join(complement(X2),meet(X0,X1))),
inference(superposition,[],[f6,f6]) ).
fof(f23,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(superposition,[],[f6,f15]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X1,X0),
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
zero = complement(top),
inference(forward_demodulation,[],[f23,f16]) ).
fof(f30,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(superposition,[],[f6,f29]) ).
fof(f31,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(superposition,[],[f6,f29]) ).
fof(f33,plain,
top = join(top,zero),
inference(superposition,[],[f15,f29]) ).
fof(f34,plain,
top = join(zero,top),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f36,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f37,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f62,plain,
complement(top) = meet(zero,top),
inference(superposition,[],[f35,f15]) ).
fof(f63,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(superposition,[],[f35,f31]) ).
fof(f71,plain,
zero = meet(zero,top),
inference(forward_demodulation,[],[f62,f29]) ).
fof(f75,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f91,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f24,f6]) ).
fof(f112,plain,
zero = meet(sk2,converse(sk1)),
inference(superposition,[],[f91,f18]) ).
fof(f123,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f129,plain,
! [X0] : join(top,X0) = join(zero,join(top,X0)),
inference(superposition,[],[f2,f34]) ).
fof(f131,plain,
! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f2,f15]) ).
fof(f142,plain,
! [X0] : join(X0,top) = join(zero,join(X0,top)),
inference(superposition,[],[f129,f1]) ).
fof(f153,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,composition(one,X1)),
inference(superposition,[],[f7,f8]) ).
fof(f172,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f36,f15]) ).
fof(f368,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f403,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f75,f8]) ).
fof(f424,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f403,f10]) ).
fof(f440,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(superposition,[],[f153,f424]) ).
fof(f444,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f440,f424]) ).
fof(f488,plain,
! [X2,X0,X1] : join(complement(X0),join(composition(converse(X1),complement(composition(X1,X0))),X2)) = join(complement(X0),X2),
inference(superposition,[],[f2,f368]) ).
fof(f495,plain,
! [X0] : complement(X0) = join(complement(X0),composition(converse(one),complement(X0))),
inference(superposition,[],[f368,f444]) ).
fof(f502,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f495,f424]) ).
fof(f504,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f505,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f504,f6]) ).
fof(f506,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f505,f1]) ).
fof(f519,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(superposition,[],[f24,f502]) ).
fof(f553,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(superposition,[],[f506,f16]) ).
fof(f562,plain,
sk2 = join(zero,complement(join(complement(sk2),converse(sk1)))),
inference(superposition,[],[f506,f112]) ).
fof(f577,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f506]) ).
fof(f597,plain,
! [X0] : join(zero,meet(X0,X0)) = X0,
inference(forward_demodulation,[],[f553,f6]) ).
fof(f605,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f597,f519]) ).
fof(f623,plain,
complement(sk2) = meet(top,join(complement(sk2),converse(sk1))),
inference(superposition,[],[f31,f562]) ).
fof(f624,plain,
! [X0] : join(zero,join(complement(join(complement(sk2),converse(sk1))),X0)) = join(sk2,X0),
inference(superposition,[],[f2,f562]) ).
fof(f668,plain,
join(zero,complement(join(complement(sk2),converse(sk1)))) = join(sk2,complement(join(complement(sk2),converse(sk1)))),
inference(superposition,[],[f624,f502]) ).
fof(f670,plain,
! [X0] : join(sk2,X0) = join(zero,join(X0,complement(join(complement(sk2),converse(sk1))))),
inference(superposition,[],[f624,f1]) ).
fof(f674,plain,
join(complement(join(complement(sk2),converse(sk1))),top) = join(sk2,top),
inference(superposition,[],[f142,f624]) ).
fof(f677,plain,
join(sk2,top) = join(top,complement(join(complement(sk2),converse(sk1)))),
inference(forward_demodulation,[],[f674,f1]) ).
fof(f681,plain,
sk2 = join(sk2,complement(join(complement(sk2),converse(sk1)))),
inference(forward_demodulation,[],[f668,f562]) ).
fof(f709,plain,
join(zero,sk2) = join(sk2,sk2),
inference(superposition,[],[f670,f681]) ).
fof(f718,plain,
! [X0] : join(sk2,join(sk2,X0)) = join(join(zero,sk2),X0),
inference(superposition,[],[f2,f709]) ).
fof(f719,plain,
! [X0] : join(sk2,join(sk2,X0)) = join(zero,join(sk2,X0)),
inference(forward_demodulation,[],[f718,f2]) ).
fof(f727,plain,
join(zero,top) = join(sk2,top),
inference(superposition,[],[f719,f15]) ).
fof(f734,plain,
top = join(sk2,top),
inference(forward_demodulation,[],[f727,f34]) ).
fof(f764,plain,
join(top,complement(join(complement(sk2),converse(sk1)))) = join(sk2,complement(zero)),
inference(superposition,[],[f670,f123]) ).
fof(f768,plain,
join(sk2,top) = join(sk2,complement(zero)),
inference(forward_demodulation,[],[f764,f677]) ).
fof(f955,plain,
top = join(sk2,complement(zero)),
inference(forward_demodulation,[],[f768,f734]) ).
fof(f958,plain,
! [X0] : join(top,X0) = join(sk2,join(complement(zero),X0)),
inference(superposition,[],[f2,f955]) ).
fof(f1128,plain,
join(top,complement(zero)) = join(sk2,complement(zero)),
inference(superposition,[],[f958,f502]) ).
fof(f1153,plain,
top = join(top,complement(zero)),
inference(forward_demodulation,[],[f1128,f955]) ).
fof(f1161,plain,
top = join(top,join(complement(zero),complement(top))),
inference(superposition,[],[f131,f1153]) ).
fof(f1163,plain,
top = join(top,join(complement(zero),zero)),
inference(forward_demodulation,[],[f1161,f29]) ).
fof(f1164,plain,
top = join(top,join(zero,complement(zero))),
inference(forward_demodulation,[],[f1163,f1]) ).
fof(f1165,plain,
top = join(top,top),
inference(forward_demodulation,[],[f1164,f15]) ).
fof(f1173,plain,
! [X0] : join(top,X0) = join(top,join(top,X0)),
inference(superposition,[],[f2,f1165]) ).
fof(f1200,plain,
converse(top) = join(top,converse(top)),
inference(superposition,[],[f1173,f172]) ).
fof(f1217,plain,
converse(converse(top)) = join(converse(top),top),
inference(superposition,[],[f37,f1200]) ).
fof(f1221,plain,
converse(converse(top)) = join(top,converse(top)),
inference(forward_demodulation,[],[f1217,f1]) ).
fof(f1222,plain,
converse(top) = converse(converse(top)),
inference(forward_demodulation,[],[f1221,f1200]) ).
fof(f1223,plain,
top = converse(top),
inference(forward_demodulation,[],[f1222,f10]) ).
fof(f6577,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(complement(zero),top)),X0)),
inference(superposition,[],[f577,f71]) ).
fof(f6673,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(join(top,complement(zero))),X0)),
inference(forward_demodulation,[],[f6577,f1]) ).
fof(f6713,plain,
! [X0] : join(zero,X0) = join(zero,join(complement(top),X0)),
inference(forward_demodulation,[],[f6673,f1153]) ).
fof(f6738,plain,
! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
inference(forward_demodulation,[],[f6713,f29]) ).
fof(f6785,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6738,f605]) ).
fof(f6954,plain,
! [X0] : complement(complement(X0)) = X0,
inference(superposition,[],[f6785,f605]) ).
fof(f7171,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f502,f6954]) ).
fof(f7455,plain,
! [X0] : top = join(X0,join(X0,complement(X0))),
inference(superposition,[],[f131,f7171]) ).
fof(f7538,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f7455,f15]) ).
fof(f7611,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f7538,f1]) ).
fof(f7638,plain,
! [X0] : join(meet(X0,top),complement(top)) = X0,
inference(superposition,[],[f506,f7538]) ).
fof(f7667,plain,
! [X0] : join(complement(top),meet(X0,top)) = X0,
inference(forward_demodulation,[],[f7638,f1]) ).
fof(f7687,plain,
! [X0] : join(zero,meet(X0,top)) = X0,
inference(forward_demodulation,[],[f7667,f29]) ).
fof(f7690,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[],[f7687,f6785]) ).
fof(f7905,plain,
! [X0] : meet(top,X0) = X0,
inference(superposition,[],[f7690,f63]) ).
fof(f8012,plain,
complement(sk2) = join(complement(sk2),converse(sk1)),
inference(superposition,[],[f7905,f623]) ).
fof(f8655,plain,
! [X2,X0,X1] : join(X0,join(complement(X0),X1)) = join(top,join(composition(converse(X2),complement(composition(X2,X0))),X1)),
inference(superposition,[],[f123,f488]) ).
fof(f8682,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f8655,f7611]) ).
fof(f9617,plain,
! [X0,X1] : top = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f8682,f1]) ).
fof(f9661,plain,
! [X0,X1] : join(meet(X0,join(complement(complement(X0)),X1)),complement(top)) = X0,
inference(superposition,[],[f506,f8682]) ).
fof(f9721,plain,
! [X0,X1] : join(complement(top),meet(X0,join(complement(complement(X0)),X1))) = X0,
inference(forward_demodulation,[],[f9661,f1]) ).
fof(f9758,plain,
! [X0,X1] : join(complement(top),meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f9721,f6954]) ).
fof(f9779,plain,
! [X0,X1] : join(zero,meet(X0,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f9758,f29]) ).
fof(f9792,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[],[f9779,f6785]) ).
fof(f9801,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f9792,f1]) ).
fof(f9968,plain,
! [X0,X1] : complement(X0) = complement(join(complement(complement(X0)),meet(X0,X1))),
inference(superposition,[],[f22,f9792]) ).
fof(f9988,plain,
! [X0,X1] : complement(X0) = complement(join(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f9968,f6954]) ).
fof(f10669,plain,
! [X0,X1] : top = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f9617,f577]) ).
fof(f10873,plain,
! [X0,X1] : top = join(X1,complement(meet(X0,X1))),
inference(superposition,[],[f10669,f91]) ).
fof(f11104,plain,
! [X0,X1] : complement(top) = meet(X0,meet(X1,complement(X0))),
inference(superposition,[],[f6,f10873]) ).
fof(f11177,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[],[f11104,f29]) ).
fof(f11516,plain,
! [X0,X1] : zero = meet(complement(X0),meet(X1,X0)),
inference(superposition,[],[f11177,f6954]) ).
fof(f11710,plain,
! [X0,X1] : zero = meet(complement(join(X1,X0)),X0),
inference(superposition,[],[f11516,f9801]) ).
fof(f11771,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f11710,f91]) ).
fof(f12888,plain,
converse(complement(sk2)) = join(converse(complement(sk2)),sk1),
inference(superposition,[],[f37,f8012]) ).
fof(f12902,plain,
converse(complement(sk2)) = join(sk1,converse(complement(sk2))),
inference(forward_demodulation,[],[f12888,f1]) ).
fof(f15928,plain,
! [X0,X1] : join(zero,complement(complement(X0))) = join(X0,meet(X0,X1)),
inference(superposition,[],[f605,f9988]) ).
fof(f15956,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[],[f15928,f605]) ).
fof(f16046,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f15956,f91]) ).
fof(f16270,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(superposition,[],[f36,f16046]) ).
fof(f16299,plain,
! [X0,X1] : join(X0,converse(meet(X1,converse(X0)))) = X0,
inference(forward_demodulation,[],[f16270,f10]) ).
fof(f25386,plain,
sk1 = meet(sk1,converse(complement(sk2))),
inference(superposition,[],[f9792,f12902]) ).
fof(f25416,plain,
top = join(converse(complement(sk2)),complement(sk1)),
inference(superposition,[],[f10873,f25386]) ).
fof(f25425,plain,
top = join(complement(sk1),converse(complement(sk2))),
inference(forward_demodulation,[],[f25416,f1]) ).
fof(f25491,plain,
converse(top) = join(converse(complement(sk1)),complement(sk2)),
inference(superposition,[],[f37,f25425]) ).
fof(f25523,plain,
converse(top) = join(complement(sk2),converse(complement(sk1))),
inference(forward_demodulation,[],[f25491,f1]) ).
fof(f25534,plain,
top = join(complement(sk2),converse(complement(sk1))),
inference(forward_demodulation,[],[f25523,f1223]) ).
fof(f25550,plain,
sk2 = join(meet(sk2,converse(complement(sk1))),complement(top)),
inference(superposition,[],[f506,f25534]) ).
fof(f25584,plain,
sk2 = join(complement(top),meet(sk2,converse(complement(sk1)))),
inference(forward_demodulation,[],[f25550,f1]) ).
fof(f25595,plain,
sk2 = join(zero,meet(sk2,converse(complement(sk1)))),
inference(forward_demodulation,[],[f25584,f29]) ).
fof(f25598,plain,
sk2 = meet(sk2,converse(complement(sk1))),
inference(forward_demodulation,[],[f25595,f6785]) ).
fof(f25602,plain,
complement(sk1) = join(complement(sk1),converse(sk2)),
inference(superposition,[],[f16299,f25598]) ).
fof(f25656,plain,
zero = meet(converse(sk2),complement(complement(sk1))),
inference(superposition,[],[f11771,f25602]) ).
fof(f25661,plain,
zero = meet(converse(sk2),sk1),
inference(forward_demodulation,[],[f25656,f6954]) ).
fof(f25673,plain,
zero = meet(sk1,converse(sk2)),
inference(forward_demodulation,[],[f25661,f91]) ).
fof(f25677,plain,
$false,
inference(forward_subsumption_resolution,[],[f25673,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL006-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:49:07 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.56/1.65 % (632549)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.56/1.65 % (632555)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1556380324:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.56/1.65 % (632554)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3300706019:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.56/1.65 % (632559)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=69647923:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.56/1.65 % (632556)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=472202463:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.56/1.65 % (632558)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=355705157:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.56/1.65 % (632560)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1729615824:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.56/1.65 % (632557)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3526096403:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.56/1.65 % (632557)Instruction limit reached!
% 4.56/1.65 % (632557)------------------------------
% 4.56/1.65 % (632557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.65 % (632557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.65 % (632557)CaDiCaL version: 2.1.3
% 4.56/1.65 % (632557)Termination reason: Instruction limit
% 4.56/1.65 % (632557)Termination phase: Saturation
% 4.56/1.65 % (632557)Time elapsed: 0.082 s
% 4.56/1.65 % (632557)Peak memory usage: 89 MB
% 4.56/1.65 % (632557)Instructions burned: 137 (million)
% 4.56/1.65 % (632558)Instruction limit reached!
% 4.56/1.65 % (632558)------------------------------
% 4.56/1.65 % (632558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.65 % (632558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.65 % (632558)CaDiCaL version: 2.1.3
% 4.56/1.65 % (632558)Termination reason: Instruction limit
% 4.56/1.65 % (632558)Termination phase: Saturation
% 4.56/1.65 % (632558)Time elapsed: 0.102 s
% 4.56/1.65 % (632558)Peak memory usage: 89 MB
% 4.56/1.65 % (632558)Instructions burned: 181 (million)
% 4.56/1.65 % (632559)Instruction limit reached!
% 4.56/1.65 % (632559)------------------------------
% 4.56/1.65 % (632559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.65 % (632559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.65 % (632559)CaDiCaL version: 2.1.3
% 4.56/1.65 % (632559)Termination reason: Instruction limit
% 4.56/1.65 % (632559)Termination phase: Saturation
% 4.56/1.65 % (632559)Time elapsed: 0.174 s
% 4.56/1.65 % (632559)Peak memory usage: 90 MB
% 4.56/1.65 % (632559)Instructions burned: 257 (million)
% 4.56/1.65 % (632568)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=167360771:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.56/1.65 % (632569)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3089997610:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.56/1.65 % (632570)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1175295744:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 4.56/1.65 % (632560)First to succeed.
% 4.56/1.65 % (632560)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-632549"
% 4.56/1.65 % (632570)Instruction limit reached!
% 4.56/1.65 % (632570)------------------------------
% 4.56/1.65 % (632570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.56/1.65 % (632570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.56/1.65 % (632570)CaDiCaL version: 2.1.3
% 4.56/1.65 % (632570)Termination reason: Instruction limit
% 4.56/1.65 % (632570)Termination phase: Saturation
% 4.56/1.65 % (632570)Time elapsed: 0.119 s
% 4.56/1.65 % (632570)Peak memory usage: 92 MB
% 4.56/1.65 % (632570)Instructions burned: 216 (million)
% 4.56/1.65 % (632574)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3889304605:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 4.56/1.65 % (632560)Refutation found. Thanks to Tanya!
% 4.56/1.65 % SZS status Unsatisfiable for theBenchmark
% 4.56/1.65 % SZS output start Proof for theBenchmark
% See solution above
% 6.31/1.85 % (632560)------------------------------
% 6.31/1.85 % (632560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.85 % (632560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.85 % (632560)CaDiCaL version: 2.1.3
% 6.31/1.85 % (632560)Termination reason: Refutation
% 6.31/1.85 % (632560)Time elapsed: 0.406 s
% 6.31/1.85 % (632560)Peak memory usage: 95 MB
% 6.31/1.85 % (632560)Instructions burned: 732 (million)
% 6.31/1.85 % (632560)------------------------------
% 6.31/1.85 % (632560)------------------------------
% 6.31/1.85 % (632549)Success in time 0.804 s
% 6.31/1.85 % Vampire exiting
%------------------------------------------------------------------------------