%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT162-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:46:06 AM UTC 2026
% Result : Unsatisfiable 21.70s 4.02s
% Output : Refutation 22.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 146 ( 146 unt; 10 def)
% Number of atoms : 146 ( 140 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H68) ).
fof(f10,negated_conjecture,
meet(a,meet(b,join(c,d))) != meet(a,meet(b,join(c,meet(a,join(d,meet(b,c)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H73) ).
fof(f11,definition,
~ sP0(meet(a,meet(b,join(c,meet(a,join(d,meet(b,c))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,meet(b,join(c,d)))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,definition,
sF1 = meet(b,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(b,c) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(d,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(d,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(a,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(a,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(c,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(c,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(b,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(b,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = meet(a,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
meet(a,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
~ sP0(sF6),
inference(definition_folding,[],[f11,f24,f22,f20,f18,f16,f14]) ).
fof(f26,definition,
sF7 = join(c,d),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f27,plain,
join(c,d) = sF7,
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF8 = meet(b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
meet(b,sF7) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = meet(a,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
meet(a,sF8) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,plain,
sP0(sF9),
inference(definition_folding,[],[f12,f31,f29,f27]) ).
fof(f33,plain,
sF1 = meet(c,b),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f34,plain,
sF7 = join(d,c),
inference(forward_demodulation,[],[f27,f6]) ).
fof(f35,plain,
sF2 = join(d,meet(c,b)),
inference(backward_demodulation,[],[f16,f33]) ).
fof(f36,plain,
sF8 = meet(b,join(d,c)),
inference(backward_demodulation,[],[f29,f34]) ).
fof(f38,plain,
c = meet(c,sF4),
inference(superposition,[],[f3,f20]) ).
fof(f43,plain,
a = join(a,sF9),
inference(superposition,[],[f4,f31]) ).
fof(f52,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f54,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f57,plain,
b = join(b,sF8),
inference(superposition,[],[f4,f36]) ).
fof(f63,plain,
sF2 = join(sF2,sF3),
inference(superposition,[],[f52,f18]) ).
fof(f77,plain,
sF2 = join(sF3,sF2),
inference(forward_demodulation,[],[f63,f6]) ).
fof(f99,plain,
! [X0] : meet(a,meet(sF2,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f18]) ).
fof(f100,plain,
! [X0] : meet(a,meet(sF5,X0)) = meet(sF6,X0),
inference(superposition,[],[f7,f24]) ).
fof(f101,plain,
! [X0] : meet(a,meet(sF8,X0)) = meet(sF9,X0),
inference(superposition,[],[f7,f31]) ).
fof(f102,plain,
! [X0] : meet(sF5,X0) = meet(b,meet(sF4,X0)),
inference(superposition,[],[f7,f22]) ).
fof(f103,plain,
! [X0] : meet(sF8,X0) = meet(b,meet(join(d,c),X0)),
inference(superposition,[],[f7,f36]) ).
fof(f113,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[],[f52,f7]) ).
fof(f115,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f5,f7]) ).
fof(f125,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f54,f52]) ).
fof(f130,plain,
sF9 = meet(sF9,a),
inference(superposition,[],[f54,f43]) ).
fof(f132,plain,
sF8 = meet(sF8,b),
inference(superposition,[],[f54,f57]) ).
fof(f133,plain,
sF3 = meet(sF3,sF4),
inference(superposition,[],[f54,f20]) ).
fof(f148,plain,
sF3 = meet(sF4,sF3),
inference(forward_demodulation,[],[f133,f5]) ).
fof(f149,plain,
sF8 = meet(b,sF8),
inference(forward_demodulation,[],[f132,f5]) ).
fof(f151,plain,
sF9 = meet(a,sF9),
inference(forward_demodulation,[],[f130,f5]) ).
fof(f154,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f125,f5]) ).
fof(f160,plain,
! [X0] : meet(sF8,X0) = meet(b,meet(sF8,X0)),
inference(superposition,[],[f7,f149]) ).
fof(f166,plain,
! [X0] : meet(sF9,X0) = meet(a,meet(sF9,X0)),
inference(superposition,[],[f7,f151]) ).
fof(f216,plain,
! [X0] : meet(sF3,X0) = meet(a,meet(X0,sF2)),
inference(superposition,[],[f99,f5]) ).
fof(f276,plain,
! [X0] : meet(sF6,X0) = meet(a,meet(X0,sF5)),
inference(superposition,[],[f100,f5]) ).
fof(f356,plain,
! [X0] : meet(a,sF8) = meet(sF9,join(X0,sF8)),
inference(superposition,[],[f101,f54]) ).
fof(f363,plain,
! [X0] : sF9 = meet(sF9,join(X0,sF8)),
inference(forward_demodulation,[],[f356,f31]) ).
fof(f381,plain,
sF9 = meet(sF9,b),
inference(superposition,[],[f363,f57]) ).
fof(f389,plain,
sF9 = meet(b,sF9),
inference(forward_demodulation,[],[f381,f5]) ).
fof(f421,plain,
! [X0] : meet(sF5,X0) = meet(b,meet(X0,sF4)),
inference(superposition,[],[f102,f5]) ).
fof(f424,plain,
! [X0] : meet(b,sF4) = meet(sF5,join(X0,sF4)),
inference(superposition,[],[f102,f54]) ).
fof(f431,plain,
! [X0] : sF5 = meet(sF5,join(X0,sF4)),
inference(forward_demodulation,[],[f424,f22]) ).
fof(f440,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(join(X2,X1),X0),
inference(superposition,[],[f8,f6]) ).
fof(f455,plain,
! [X0] : join(sF4,X0) = join(c,join(sF3,X0)),
inference(superposition,[],[f8,f20]) ).
fof(f457,plain,
! [X0] : join(sF2,X0) = join(d,join(meet(c,b),X0)),
inference(superposition,[],[f8,f35]) ).
fof(f472,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f6,f8]) ).
fof(f499,plain,
! [X0] : meet(a,sF5) = meet(sF6,join(X0,sF4)),
inference(superposition,[],[f100,f431]) ).
fof(f505,plain,
! [X0] : sF6 = meet(sF6,join(X0,sF4)),
inference(forward_demodulation,[],[f499,f24]) ).
fof(f647,plain,
join(sF4,sF2) = join(c,sF2),
inference(superposition,[],[f455,f77]) ).
fof(f651,plain,
! [X0] : join(c,sF3) = join(sF4,meet(sF3,X0)),
inference(superposition,[],[f455,f4]) ).
fof(f662,plain,
! [X0] : sF4 = join(sF4,meet(sF3,X0)),
inference(forward_demodulation,[],[f651,f20]) ).
fof(f931,plain,
! [X0] : sF4 = join(sF4,meet(X0,c)),
inference(superposition,[],[f113,f38]) ).
fof(f1011,plain,
! [X0] : sF4 = join(sF4,meet(c,X0)),
inference(superposition,[],[f931,f5]) ).
fof(f1083,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X1,join(X0,meet(X2,X1))))),
inference(superposition,[],[f9,f5]) ).
fof(f1155,plain,
! [X0] : meet(sF3,join(X0,sF4)) = meet(sF3,join(X0,meet(sF3,sF4))),
inference(superposition,[],[f9,f662]) ).
fof(f1211,plain,
! [X0] : meet(sF3,join(X0,sF4)) = meet(sF3,join(X0,meet(sF4,sF3))),
inference(forward_demodulation,[],[f1155,f5]) ).
fof(f1266,plain,
! [X0] : meet(sF3,join(X0,sF3)) = meet(sF3,join(X0,sF4)),
inference(forward_demodulation,[],[f1211,f148]) ).
fof(f1300,plain,
! [X0] : sF3 = meet(sF3,join(X0,sF4)),
inference(forward_demodulation,[],[f1266,f54]) ).
fof(f1664,plain,
! [X0] : sF4 = join(meet(c,X0),sF4),
inference(superposition,[],[f6,f1011]) ).
fof(f2355,plain,
sF8 = meet(join(d,c),sF8),
inference(superposition,[],[f154,f36]) ).
fof(f2485,plain,
sF8 = meet(sF8,join(d,c)),
inference(forward_demodulation,[],[f2355,f5]) ).
fof(f2534,plain,
meet(a,sF8) = meet(sF9,join(d,c)),
inference(superposition,[],[f101,f2485]) ).
fof(f2544,plain,
sF9 = meet(sF9,join(d,c)),
inference(forward_demodulation,[],[f2534,f31]) ).
fof(f2565,plain,
meet(sF9,sF2) = meet(sF3,sF8),
inference(superposition,[],[f216,f101]) ).
fof(f2579,plain,
meet(sF9,sF2) = meet(sF8,sF3),
inference(forward_demodulation,[],[f2565,f5]) ).
fof(f2591,plain,
meet(sF9,sF3) = meet(a,meet(sF9,sF2)),
inference(superposition,[],[f101,f2579]) ).
fof(f2605,plain,
meet(sF9,sF3) = meet(sF9,sF2),
inference(forward_demodulation,[],[f2591,f166]) ).
fof(f2611,plain,
meet(sF9,sF3) = meet(sF8,sF3),
inference(backward_demodulation,[],[f2579,f2605]) ).
fof(f2707,plain,
meet(sF9,sF5) = meet(sF6,sF8),
inference(superposition,[],[f276,f101]) ).
fof(f2723,plain,
meet(sF9,sF5) = meet(sF8,sF6),
inference(forward_demodulation,[],[f2707,f5]) ).
fof(f2738,plain,
meet(sF9,sF6) = meet(a,meet(sF9,sF5)),
inference(superposition,[],[f101,f2723]) ).
fof(f2752,plain,
meet(sF9,sF6) = meet(sF9,sF5),
inference(forward_demodulation,[],[f2738,f166]) ).
fof(f4048,plain,
meet(sF5,sF8) = meet(sF8,sF4),
inference(superposition,[],[f160,f421]) ).
fof(f4060,plain,
meet(sF8,sF5) = meet(sF8,sF4),
inference(forward_demodulation,[],[f4048,f5]) ).
fof(f4063,plain,
meet(a,meet(sF8,sF5)) = meet(sF9,sF4),
inference(superposition,[],[f101,f4060]) ).
fof(f4076,plain,
meet(sF9,sF5) = meet(sF9,sF4),
inference(forward_demodulation,[],[f4063,f101]) ).
fof(f4078,plain,
meet(sF9,sF6) = meet(sF9,sF4),
inference(forward_demodulation,[],[f4076,f2752]) ).
fof(f4696,plain,
meet(sF8,sF4) = meet(sF5,join(d,c)),
inference(superposition,[],[f103,f421]) ).
fof(f4714,plain,
meet(sF8,sF4) = meet(join(d,c),sF5),
inference(forward_demodulation,[],[f4696,f5]) ).
fof(f4726,plain,
meet(sF8,sF5) = meet(join(d,c),sF5),
inference(forward_demodulation,[],[f4714,f4060]) ).
fof(f5676,plain,
meet(a,meet(sF8,sF5)) = meet(sF6,join(d,c)),
inference(superposition,[],[f276,f4726]) ).
fof(f5693,plain,
meet(a,meet(sF8,sF5)) = meet(join(d,c),sF6),
inference(forward_demodulation,[],[f5676,f5]) ).
fof(f5695,plain,
meet(sF9,sF5) = meet(join(d,c),sF6),
inference(forward_demodulation,[],[f5693,f101]) ).
fof(f5696,plain,
meet(sF9,sF6) = meet(join(d,c),sF6),
inference(forward_demodulation,[],[f5695,f2752]) ).
fof(f9999,plain,
! [X0] : join(sF2,X0) = join(meet(c,b),join(d,X0)),
inference(superposition,[],[f440,f35]) ).
fof(f10118,plain,
! [X0] : join(sF2,X0) = join(d,join(X0,meet(c,b))),
inference(forward_demodulation,[],[f9999,f472]) ).
fof(f11851,plain,
join(sF2,sF4) = join(d,sF4),
inference(superposition,[],[f457,f1664]) ).
fof(f11855,plain,
! [X0] : join(d,meet(c,b)) = join(sF2,meet(X0,meet(c,b))),
inference(superposition,[],[f457,f52]) ).
fof(f11887,plain,
! [X0] : sF2 = join(sF2,meet(X0,meet(c,b))),
inference(forward_demodulation,[],[f11855,f35]) ).
fof(f11889,plain,
join(sF4,sF2) = join(d,sF4),
inference(forward_demodulation,[],[f11851,f6]) ).
fof(f11898,plain,
join(c,sF2) = join(d,sF4),
inference(backward_demodulation,[],[f647,f11889]) ).
fof(f12041,plain,
! [X0] : sF2 = join(sF2,meet(c,meet(b,X0))),
inference(superposition,[],[f11887,f115]) ).
fof(f12090,plain,
sF2 = join(sF2,meet(c,sF9)),
inference(superposition,[],[f12041,f389]) ).
fof(f12173,plain,
meet(c,sF9) = meet(meet(c,sF9),sF2),
inference(superposition,[],[f54,f12090]) ).
fof(f12181,plain,
meet(c,sF9) = meet(sF2,meet(c,sF9)),
inference(forward_demodulation,[],[f12173,f5]) ).
fof(f12182,plain,
meet(c,sF9) = meet(c,meet(sF9,sF2)),
inference(forward_demodulation,[],[f12181,f115]) ).
fof(f12183,plain,
meet(c,sF9) = meet(c,meet(sF9,sF3)),
inference(forward_demodulation,[],[f12182,f2605]) ).
fof(f17557,plain,
sF3 = join(sF3,meet(c,sF9)),
inference(superposition,[],[f113,f12183]) ).
fof(f30092,plain,
join(d,c) = join(sF2,c),
inference(superposition,[],[f10118,f4]) ).
fof(f30142,plain,
join(d,c) = join(c,sF2),
inference(forward_demodulation,[],[f30092,f6]) ).
fof(f30154,plain,
join(d,c) = join(d,sF4),
inference(backward_demodulation,[],[f11898,f30142]) ).
fof(f30364,plain,
sF6 = meet(sF6,join(d,c)),
inference(superposition,[],[f505,f30154]) ).
fof(f30368,plain,
sF3 = meet(sF3,join(d,c)),
inference(superposition,[],[f1300,f30154]) ).
fof(f30407,plain,
sF3 = meet(join(d,c),sF3),
inference(forward_demodulation,[],[f30368,f5]) ).
fof(f30408,plain,
sF6 = meet(join(d,c),sF6),
inference(forward_demodulation,[],[f30364,f5]) ).
fof(f30418,plain,
sF6 = meet(sF9,sF6),
inference(backward_demodulation,[],[f5696,f30408]) ).
fof(f30428,plain,
sF6 = meet(sF9,sF4),
inference(backward_demodulation,[],[f4078,f30418]) ).
fof(f30920,plain,
meet(b,sF3) = meet(sF8,sF3),
inference(superposition,[],[f103,f30407]) ).
fof(f30958,plain,
meet(sF9,sF3) = meet(b,sF3),
inference(backward_demodulation,[],[f2611,f30920]) ).
fof(f30965,plain,
meet(b,sF3) = meet(sF9,sF2),
inference(backward_demodulation,[],[f2605,f30958]) ).
fof(f48966,plain,
meet(sF9,join(c,sF2)) = meet(sF9,join(c,meet(sF9,sF2))),
inference(superposition,[],[f1083,f12090]) ).
fof(f48979,plain,
meet(sF9,join(c,sF3)) = meet(sF9,join(c,meet(sF9,sF3))),
inference(superposition,[],[f1083,f17557]) ).
fof(f49404,plain,
meet(sF9,join(c,sF3)) = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f48979,f30958]) ).
fof(f49417,plain,
meet(sF9,join(c,sF2)) = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f48966,f30965]) ).
fof(f49700,plain,
meet(sF9,sF4) = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f49404,f20]) ).
fof(f49710,plain,
meet(sF9,join(d,c)) = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f49417,f30142]) ).
fof(f49934,plain,
sF6 = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f49700,f30428]) ).
fof(f49944,plain,
sF9 = meet(sF9,join(c,meet(b,sF3))),
inference(forward_demodulation,[],[f49710,f2544]) ).
fof(f50144,plain,
sF6 = sF9,
inference(backward_demodulation,[],[f49934,f49944]) ).
fof(f50236,plain,
~ sP0(sF9),
inference(backward_demodulation,[],[f25,f50144]) ).
fof(f51304,plain,
$false,
inference(forward_subsumption_resolution,[],[f50236,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT162-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n012.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:03:35 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 21.70/4.02 % (2409069)Detected a unit-equality problem, will run specialized UEQ schedule.
% 21.70/4.02 % (2409074)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=257423835:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 21.70/4.02 % (2409075)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=501903358:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 21.70/4.02 % (2409077)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2930649427:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 21.70/4.02 % (2409078)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4147717947:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 21.70/4.02 % (2409076)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3604830641:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 21.70/4.02 % (2409078)Refutation not found, incomplete strategy
% 21.70/4.02 % (2409078)------------------------------
% 21.70/4.02 % (2409078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409078)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409078)Termination reason: Refutation not found, incomplete strategy
% 21.70/4.02 % (2409078)Time elapsed: 0.001 s
% 21.70/4.02 % (2409078)Peak memory usage: 87 MB
% 21.70/4.02 % (2409078)Instructions burned: 1 (million)
% 21.70/4.02 % (2409079)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3351343558:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 21.70/4.02 % (2409080)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3541566038:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 21.70/4.02 % (2409077)Instruction limit reached!
% 21.70/4.02 % (2409077)------------------------------
% 21.70/4.02 % (2409077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409077)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409077)Termination reason: Instruction limit
% 21.70/4.02 % (2409077)Termination phase: Saturation
% 21.70/4.02 % (2409077)Time elapsed: 0.073 s
% 21.70/4.02 % (2409077)Peak memory usage: 88 MB
% 21.70/4.02 % (2409077)Instructions burned: 136 (million)
% 21.70/4.02 % (2409079)Instruction limit reached!
% 21.70/4.02 % (2409079)------------------------------
% 21.70/4.02 % (2409079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409079)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409079)Termination reason: Instruction limit
% 21.70/4.02 % (2409079)Termination phase: Saturation
% 21.70/4.02 % (2409079)Time elapsed: 0.139 s
% 21.70/4.02 % (2409079)Peak memory usage: 90 MB
% 21.70/4.02 % (2409079)Instructions burned: 258 (million)
% 21.70/4.02 % (2409078)------------------------------
% 21.70/4.02 % (2409078)------------------------------
% 21.70/4.02 % (2409102)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3412110960:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 21.70/4.02 % (2409106)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2481049114:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 21.70/4.02 % (2409107)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2397270549:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 21.70/4.02 % (2409107)Instruction limit reached!
% 21.70/4.02 % (2409107)------------------------------
% 21.70/4.02 % (2409107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409107)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409107)Termination reason: Instruction limit
% 21.70/4.02 % (2409107)Termination phase: Saturation
% 21.70/4.02 % (2409107)Time elapsed: 0.093 s
% 21.70/4.02 % (2409107)Peak memory usage: 89 MB
% 21.70/4.02 % (2409107)Instructions burned: 216 (million)
% 21.70/4.02 % (2409080)Instruction limit reached!
% 21.70/4.02 % (2409080)------------------------------
% 21.70/4.02 % (2409080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409080)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409080)Termination reason: Instruction limit
% 21.70/4.02 % (2409080)Termination phase: Saturation
% 21.70/4.02 % (2409080)Time elapsed: 0.576 s
% 21.70/4.02 % (2409080)Peak memory usage: 97 MB
% 21.70/4.02 % (2409080)Instructions burned: 1188 (million)
% 21.70/4.02 % (2409111)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=1802842614:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 21.70/4.02 % (2409112)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=228739719:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 21.70/4.02 % (2409111)Instruction limit reached!
% 21.70/4.02 % (2409111)------------------------------
% 21.70/4.02 % (2409111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409111)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409111)Termination reason: Instruction limit
% 21.70/4.02 % (2409111)Termination phase: Saturation
% 21.70/4.02 % (2409111)Time elapsed: 0.180 s
% 21.70/4.02 % (2409111)Peak memory usage: 93 MB
% 21.70/4.02 % (2409111)Instructions burned: 318 (million)
% 21.70/4.02 % (2409115)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2708777506:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 21.70/4.02 % (2409102)Instruction limit reached!
% 21.70/4.02 % (2409102)------------------------------
% 21.70/4.02 % (2409102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.70/4.02 % (2409102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/4.02 % (2409102)CaDiCaL version: 2.1.3
% 21.70/4.02 % (2409102)Termination reason: Instruction limit
% 21.70/4.02 % (2409102)Termination phase: Saturation
% 21.70/4.02 % (2409102)Time elapsed: 1.177 s
% 21.70/4.02 % (2409102)Peak memory usage: 140 MB
% 21.70/4.02 % (2409102)Instructions burned: 2052 (million)
% 21.70/4.02 % (2409118)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4159623361:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 21.70/4.02 % (2409115)First to succeed.
% 21.70/4.02 % (2409115)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2409069"
% 21.70/4.02 % (2409115)Refutation found. Thanks to Tanya!
% 21.70/4.02 % SZS status Unsatisfiable for theBenchmark
% 21.70/4.02 % SZS output start Proof for theBenchmark
% See solution above
% 22.67/4.23 % (2409115)------------------------------
% 22.67/4.23 % (2409115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.67/4.23 % (2409115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.67/4.23 % (2409115)CaDiCaL version: 2.1.3
% 22.67/4.23 % (2409115)Termination reason: Refutation
% 22.67/4.23 % (2409115)Time elapsed: 1.401 s
% 22.67/4.23 % (2409115)Peak memory usage: 132 MB
% 22.67/4.23 % (2409115)Instructions burned: 2245 (million)
% 22.67/4.23 % (2409115)------------------------------
% 22.67/4.23 % (2409115)------------------------------
% 22.67/4.23 % (2409069)Success in time 3.162 s
% 22.67/4.23 % Vampire exiting
%------------------------------------------------------------------------------