%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL005-3 : 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 : n006.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 12:33:38 PM UTC 2026
% Result : Unsatisfiable 9.35s 2.24s
% Output : Refutation 9.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 102 ( 102 unt; 0 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 172 ( 172 !; 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(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(f23,negated_conjecture,
converse(meet(sk1,sk2)) != meet(converse(sk1),converse(sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(join(complement(converse(sk1)),complement(converse(sk2)))),
inference(definition_unfolding,[],[f23,f6,f6]) ).
fof(f29,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f33,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f34,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f80,plain,
! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f84,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(superposition,[],[f1,f4]) ).
fof(f85,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(complement(X1),complement(X0)))) = X1,
inference(forward_demodulation,[],[f80,f1]) ).
fof(f122,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f29,f10]) ).
fof(f130,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f33,f15]) ).
fof(f183,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f185,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f4]) ).
fof(f194,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f197,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(X2,complement(join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f185,f194]) ).
fof(f348,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f527,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f348,f8]) ).
fof(f542,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f527,f10]) ).
fof(f555,plain,
one = converse(one),
inference(superposition,[],[f8,f542]) ).
fof(f560,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f542,f555]) ).
fof(f578,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f122,f560]) ).
fof(f579,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f578,f542]) ).
fof(f593,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f197,f579]) ).
fof(f596,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),join(X1,complement(X0))),
inference(superposition,[],[f194,f579]) ).
fof(f599,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f593,f84]) ).
fof(f648,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(X0,X0),
inference(superposition,[],[f197,f599]) ).
fof(f678,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,X0),
inference(forward_demodulation,[],[f648,f1]) ).
fof(f772,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(X0,complement(X1)))),
inference(superposition,[],[f678,f1]) ).
fof(f775,plain,
! [X0,X1] : join(X1,X1) = join(X1,complement(join(top,X0))),
inference(superposition,[],[f678,f183]) ).
fof(f780,plain,
! [X0] : join(X0,X0) = join(X0,complement(converse(top))),
inference(superposition,[],[f678,f130]) ).
fof(f785,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f599,f678]) ).
fof(f796,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(complement(X0),join(complement(complement(X0)),X1)))) = X0,
inference(superposition,[],[f4,f678]) ).
fof(f810,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X0))),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f796,f183]) ).
fof(f821,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(forward_demodulation,[],[f780,f785]) ).
fof(f825,plain,
! [X0,X1] : join(X1,complement(join(top,X0))) = X1,
inference(forward_demodulation,[],[f775,f785]) ).
fof(f828,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f772,f785]) ).
fof(f845,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(top,X1))) = X0,
inference(forward_demodulation,[],[f810,f579]) ).
fof(f864,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f845,f825]) ).
fof(f894,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f85,f864]) ).
fof(f906,plain,
! [X0,X1] : join(complement(X0),complement(X0)) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f678,f864]) ).
fof(f907,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f906,f579]) ).
fof(f933,plain,
! [X0,X1] : join(X1,X0) = join(complement(join(complement(X1),X0)),X0),
inference(superposition,[],[f197,f828]) ).
fof(f967,plain,
! [X0,X1] : join(X1,X0) = join(X0,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f933,f1]) ).
fof(f1063,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f967,f864]) ).
fof(f1197,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f1063,f1]) ).
fof(f1209,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(converse(complement(converse(X0))),complement(converse(top))),
inference(superposition,[],[f1063,f130]) ).
fof(f1282,plain,
! [X0] : converse(complement(converse(X0))) = join(complement(X0),converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f1209,f821]) ).
fof(f1366,plain,
! [X0] : join(X0,complement(converse(top))) = join(complement(converse(complement(converse(X0)))),X0),
inference(superposition,[],[f1197,f130]) ).
fof(f1440,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f1366,f1]) ).
fof(f1473,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1440,f821]) ).
fof(f1607,plain,
! [X0] : converse(X0) = join(converse(X0),complement(converse(complement(X0)))),
inference(superposition,[],[f1473,f10]) ).
fof(f1742,plain,
! [X0] : converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(superposition,[],[f828,f1607]) ).
fof(f1752,plain,
! [X0] : converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[],[f1742,f1]) ).
fof(f1851,plain,
! [X0] : join(converse(complement(X0)),complement(converse(X0))) = converse(converse(complement(converse(X0)))),
inference(superposition,[],[f34,f1282]) ).
fof(f1859,plain,
! [X0] : complement(converse(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[],[f1851,f10]) ).
fof(f1868,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[],[f1859,f1]) ).
fof(f1883,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f1752,f1868]) ).
fof(f1937,plain,
! [X0,X1] : join(complement(converse(X0)),converse(X1)) = converse(join(complement(X0),X1)),
inference(superposition,[],[f11,f1883]) ).
fof(f1938,plain,
! [X0,X1] : converse(join(X1,complement(X0))) = join(converse(X1),complement(converse(X0))),
inference(superposition,[],[f11,f1883]) ).
fof(f1942,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(superposition,[],[f33,f1883]) ).
fof(f1943,plain,
! [X0,X1] : join(converse(X1),complement(X0)) = converse(join(X1,complement(converse(X0)))),
inference(superposition,[],[f34,f1883]) ).
fof(f2659,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f828,f907]) ).
fof(f2662,plain,
! [X2,X0,X1] : join(X2,complement(X0)) = join(complement(X0),join(complement(join(X0,X1)),X2)),
inference(superposition,[],[f194,f907]) ).
fof(f2673,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f2659,f2]) ).
fof(f2704,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f2673,f864]) ).
fof(f2874,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(complement(join(X0,complement(X1)))),complement(join(X1,X0))),
inference(superposition,[],[f1197,f894]) ).
fof(f2877,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f2874,f1]) ).
fof(f2953,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(join(X1,X0)),join(X0,complement(X1))),
inference(forward_demodulation,[],[f2877,f864]) ).
fof(f3011,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(X0))) = join(complement(X1),join(complement(join(X1,X0)),X0)),
inference(forward_demodulation,[],[f2953,f194]) ).
fof(f3062,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(X1,X0)),complement(complement(X0))),
inference(forward_demodulation,[],[f3011,f2662]) ).
fof(f3098,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f3062,f1]) ).
fof(f3123,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f3098,f864]) ).
fof(f3165,plain,
! [X0,X1] : join(converse(X1),complement(converse(join(X0,X1)))) = join(converse(X1),complement(converse(X0))),
inference(superposition,[],[f3123,f11]) ).
fof(f3255,plain,
! [X0,X1] : join(converse(X1),complement(converse(join(X0,X1)))) = converse(join(X1,complement(X0))),
inference(forward_demodulation,[],[f3165,f1938]) ).
fof(f3298,plain,
! [X0,X1] : converse(join(X1,complement(X0))) = converse(join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f3255,f1938]) ).
fof(f3335,plain,
! [X0,X1] : converse(join(complement(X0),X1)) = converse(join(X1,complement(X0))),
inference(forward_demodulation,[],[f3298,f1063]) ).
fof(f3687,plain,
! [X0,X1] : converse(complement(join(X1,complement(X0)))) = join(complement(converse(join(complement(X0),X1))),converse(complement(join(X1,complement(X0))))),
inference(superposition,[],[f1752,f3335]) ).
fof(f3689,plain,
! [X0,X1] : complement(converse(join(complement(X0),X1))) = join(complement(converse(join(complement(X0),X1))),converse(complement(join(X1,complement(X0))))),
inference(superposition,[],[f1868,f3335]) ).
fof(f3692,plain,
! [X0,X1] : complement(converse(join(complement(X0),X1))) = converse(join(complement(join(complement(X0),X1)),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f3689,f1937]) ).
fof(f3694,plain,
! [X0,X1] : converse(complement(join(X1,complement(X0)))) = converse(join(complement(join(complement(X0),X1)),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f3687,f1937]) ).
fof(f3725,plain,
! [X0,X1] : complement(converse(join(complement(X0),X1))) = converse(complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f3694,f3692]) ).
fof(f3740,plain,
! [X0,X1] : complement(converse(join(X1,complement(X0)))) = complement(converse(join(complement(X0),X1))),
inference(forward_demodulation,[],[f3725,f1883]) ).
fof(f5783,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(join(X1,complement(converse(X0))))),
inference(superposition,[],[f1942,f2704]) ).
fof(f5787,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),join(converse(X1),complement(X0))),
inference(forward_demodulation,[],[f5783,f1943]) ).
fof(f5841,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(converse(X1),complement(X0)),
inference(forward_demodulation,[],[f5787,f596]) ).
fof(f5932,plain,
! [X0,X1] : converse(join(complement(X0),X1)) = join(converse(X1),complement(converse(X0))),
inference(superposition,[],[f5841,f10]) ).
fof(f6209,plain,
! [X0,X1] : converse(join(complement(X1),complement(X0))) = join(complement(converse(X0)),complement(converse(X1))),
inference(superposition,[],[f5932,f1883]) ).
fof(f6396,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(converse(join(complement(sk2),complement(sk1)))),
inference(superposition,[],[f24,f6209]) ).
fof(f6494,plain,
converse(complement(join(complement(sk1),complement(sk2)))) != complement(converse(join(complement(sk1),complement(sk2)))),
inference(forward_demodulation,[],[f6396,f3740]) ).
fof(f6554,plain,
$false,
inference(forward_subsumption_resolution,[],[f6494,f1883]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL005-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 % Computer : n006.cluster.edu
% 0.18/0.46 % Model : x86_64 x86_64
% 0.18/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.46 % Memory : 8046.5625MB
% 0.18/0.46 % OS : Linux 6.8.0-71-generic
% 0.18/0.46 % CPULimit : 300
% 0.18/0.46 % WCLimit : 300
% 0.18/0.46 % DateTime : Sun Sep 27 22:49:41 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.50 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
% 9.35/2.24 % (3412241)Detected a unit-equality problem, will run specialized UEQ schedule.
% 9.35/2.24 % (3412401)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2739109832:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 9.35/2.24 % (3412397)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=3674721848:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 9.35/2.24 % (3412400)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=808297874:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 9.35/2.24 % (3412399)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4263634323:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 9.35/2.24 % (3412398)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=3760481615:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 9.35/2.24 % (3412401)Instruction limit reached!
% 9.35/2.24 % (3412401)------------------------------
% 9.35/2.24 % (3412401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412401)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412401)Termination reason: Instruction limit
% 9.35/2.24 % (3412401)Termination phase: Saturation
% 9.35/2.24 % (3412401)Time elapsed: 0.059 s
% 9.35/2.24 % (3412401)Peak memory usage: 89 MB
% 9.35/2.24 % (3412401)Instructions burned: 183 (million)
% 9.35/2.24 % (3412402)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2936386521:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 9.35/2.24 % (3412403)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2508195414:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 9.35/2.24 % (3412400)Instruction limit reached!
% 9.35/2.24 % (3412400)------------------------------
% 9.35/2.24 % (3412400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412400)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412400)Termination reason: Instruction limit
% 9.35/2.24 % (3412400)Termination phase: Saturation
% 9.35/2.24 % (3412400)Time elapsed: 0.086 s
% 9.35/2.24 % (3412400)Peak memory usage: 88 MB
% 9.35/2.24 % (3412400)Instructions burned: 138 (million)
% 9.35/2.24 % (3412411)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3026951976:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 9.35/2.24 % (3412402)Instruction limit reached!
% 9.35/2.24 % (3412402)------------------------------
% 9.35/2.24 % (3412402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412402)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412402)Termination reason: Instruction limit
% 9.35/2.24 % (3412402)Termination phase: Saturation
% 9.35/2.24 % (3412402)Time elapsed: 0.168 s
% 9.35/2.24 % (3412402)Peak memory usage: 91 MB
% 9.35/2.24 % (3412402)Instructions burned: 257 (million)
% 9.35/2.24 % (3412412)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1885826733:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 9.35/2.24 % (3412414)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2722659576:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 9.35/2.24 % (3412414)Instruction limit reached!
% 9.35/2.24 % (3412414)------------------------------
% 9.35/2.24 % (3412414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412414)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412414)Termination reason: Instruction limit
% 9.35/2.24 % (3412414)Termination phase: Saturation
% 9.35/2.24 % (3412414)Time elapsed: 0.114 s
% 9.35/2.24 % (3412414)Peak memory usage: 90 MB
% 9.35/2.24 % (3412414)Instructions burned: 215 (million)
% 9.35/2.24 % (3412417)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=4205531007:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 9.35/2.24 % (3412403)Instruction limit reached!
% 9.35/2.24 % (3412403)------------------------------
% 9.35/2.24 % (3412403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412403)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412403)Termination reason: Instruction limit
% 9.35/2.24 % (3412403)Termination phase: Saturation
% 9.35/2.24 % (3412403)Time elapsed: 0.664 s
% 9.35/2.24 % (3412403)Peak memory usage: 101 MB
% 9.35/2.24 % (3412403)Instructions burned: 1188 (million)
% 9.35/2.24 % (3412417)Instruction limit reached!
% 9.35/2.24 % (3412417)------------------------------
% 9.35/2.24 % (3412417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.24 % (3412417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.24 % (3412417)CaDiCaL version: 2.1.3
% 9.35/2.24 % (3412417)Termination reason: Instruction limit
% 9.35/2.24 % (3412417)Termination phase: Saturation
% 9.35/2.24 % (3412417)Time elapsed: 0.197 s
% 9.35/2.24 % (3412417)Peak memory usage: 95 MB
% 9.35/2.24 % (3412417)Instructions burned: 318 (million)
% 9.35/2.24 % (3412421)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=3326102872:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 9.35/2.24 % (3412398)First to succeed.
% 9.35/2.24 % (3412398)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3412241"
% 9.35/2.24 % (3412422)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1134928456:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 9.35/2.24 % (3412397)Also succeeded, but the first one will report.
% 9.35/2.24 % (3412399)Also succeeded, but the first one will report.
% 9.35/2.24 % (3412398)Refutation found. Thanks to Tanya!
% 9.35/2.24 % SZS status Unsatisfiable for theBenchmark
% 9.35/2.24 % SZS output start Proof for theBenchmark
% See solution above
% 9.88/2.44 % (3412398)------------------------------
% 9.88/2.44 % (3412398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.88/2.44 % (3412398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.88/2.44 % (3412398)CaDiCaL version: 2.1.3
% 9.88/2.44 % (3412398)Termination reason: Refutation
% 9.88/2.44 % (3412398)Time elapsed: 0.894 s
% 9.88/2.44 % (3412398)Peak memory usage: 131 MB
% 9.88/2.44 % (3412398)Instructions burned: 1375 (million)
% 9.88/2.44 % (3412398)------------------------------
% 9.88/2.44 % (3412398)------------------------------
% 9.88/2.44 % (3412241)Success in time 1.306 s
% 9.88/2.44 % Vampire exiting
%------------------------------------------------------------------------------