%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT159-1 : 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 : n011.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 20.09s 3.66s
% Output : Refutation 20.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 19
% Syntax : Number of formulae : 131 ( 131 unt; 11 def)
% Number of atoms : 131 ( 125 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 63 ( 63 !; 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,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X0,meet(X2,join(X1,X3)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H50) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H7) ).
fof(f11,definition,
~ sP0(meet(a,join(b,meet(a,join(meet(a,b),meet(c,join(a,b))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f12,plain,
sP0(meet(a,join(b,meet(a,c)))),
inference(inequality_splitting,[],[f10,f11]) ).
fof(f13,definition,
sF1 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
meet(a,b) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = join(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
join(a,b) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(c,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(c,sF2) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(sF1,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(sF1,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(a,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(a,sF4) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(b,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(b,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(a,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(a,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
~ sP0(sF7),
inference(definition_folding,[],[f11,f26,f24,f22,f20,f18,f16,f14]) ).
fof(f28,definition,
sF8 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f29,plain,
meet(a,c) = sF8,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF9 = join(b,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f31,plain,
join(b,sF8) = sF9,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF10 = meet(a,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f33,plain,
meet(a,sF9) = sF10,
inference(reorient_equations,[],[f32]) ).
fof(f34,plain,
sP0(sF10),
inference(definition_folding,[],[f12,f33,f31,f29]) ).
fof(f35,plain,
sF1 = meet(b,a),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f36,plain,
sF2 = join(b,a),
inference(forward_demodulation,[],[f16,f6]) ).
fof(f37,plain,
sF4 = join(sF3,sF1),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f38,plain,
sF8 = meet(c,a),
inference(forward_demodulation,[],[f29,f5]) ).
fof(f39,plain,
sF3 = meet(c,join(b,a)),
inference(backward_demodulation,[],[f18,f36]) ).
fof(f40,plain,
sF4 = join(sF3,meet(b,a)),
inference(forward_demodulation,[],[f37,f35]) ).
fof(f41,plain,
sF4 = join(meet(b,a),sF3),
inference(forward_demodulation,[],[f40,f6]) ).
fof(f44,plain,
b = meet(b,sF9),
inference(superposition,[],[f3,f31]) ).
fof(f47,plain,
a = join(a,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f49,plain,
a = join(a,sF10),
inference(superposition,[],[f4,f33]) ).
fof(f59,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(superposition,[],[f4,f5]) ).
fof(f61,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f3,f6]) ).
fof(f71,plain,
sF4 = join(sF4,sF5),
inference(superposition,[],[f59,f22]) ).
fof(f73,plain,
sF9 = join(sF9,sF10),
inference(superposition,[],[f59,f33]) ).
fof(f75,plain,
sF9 = join(sF9,b),
inference(superposition,[],[f59,f44]) ).
fof(f77,plain,
join(b,a) = join(join(b,a),sF3),
inference(superposition,[],[f59,f39]) ).
fof(f79,plain,
join(b,a) = join(b,join(a,sF3)),
inference(forward_demodulation,[],[f77,f8]) ).
fof(f80,plain,
sF9 = join(b,sF9),
inference(forward_demodulation,[],[f75,f6]) ).
fof(f82,plain,
sF9 = join(sF10,sF9),
inference(forward_demodulation,[],[f73,f6]) ).
fof(f84,plain,
sF4 = join(sF5,sF4),
inference(forward_demodulation,[],[f71,f6]) ).
fof(f89,plain,
sF10 = meet(sF10,sF9),
inference(superposition,[],[f3,f82]) ).
fof(f103,plain,
! [X0] : meet(a,meet(sF4,X0)) = meet(sF5,X0),
inference(superposition,[],[f7,f22]) ).
fof(f105,plain,
! [X0] : meet(a,meet(sF9,X0)) = meet(sF10,X0),
inference(superposition,[],[f7,f33]) ).
fof(f108,plain,
! [X0] : meet(c,meet(a,X0)) = meet(sF8,X0),
inference(superposition,[],[f7,f38]) ).
fof(f109,plain,
! [X0] : meet(c,meet(join(b,a),X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f39]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X0,meet(X1,meet(X2,X0))) = X0,
inference(superposition,[],[f59,f7]) ).
fof(f131,plain,
sF3 = meet(sF3,sF4),
inference(superposition,[],[f61,f41]) ).
fof(f135,plain,
sF10 = meet(sF10,a),
inference(superposition,[],[f61,f49]) ).
fof(f155,plain,
sF10 = meet(a,sF10),
inference(forward_demodulation,[],[f135,f5]) ).
fof(f159,plain,
sF3 = meet(sF4,sF3),
inference(forward_demodulation,[],[f131,f5]) ).
fof(f175,plain,
! [X0] : meet(sF10,X0) = meet(a,meet(sF10,X0)),
inference(superposition,[],[f7,f155]) ).
fof(f247,plain,
meet(sF5,sF3) = meet(a,sF3),
inference(superposition,[],[f103,f159]) ).
fof(f250,plain,
! [X0] : meet(sF5,X0) = meet(a,meet(X0,sF4)),
inference(superposition,[],[f103,f5]) ).
fof(f253,plain,
! [X0] : meet(a,sF4) = meet(sF5,join(X0,sF4)),
inference(superposition,[],[f103,f61]) ).
fof(f260,plain,
! [X0] : sF5 = meet(sF5,join(X0,sF4)),
inference(forward_demodulation,[],[f253,f22]) ).
fof(f302,plain,
sF5 = join(sF5,meet(a,sF3)),
inference(superposition,[],[f4,f247]) ).
fof(f413,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f416,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(join(X2,X1),X0),
inference(superposition,[],[f8,f6]) ).
fof(f428,plain,
! [X0] : join(sF6,X0) = join(b,join(sF5,X0)),
inference(superposition,[],[f8,f24]) ).
fof(f430,plain,
! [X0] : join(sF9,X0) = join(b,join(sF8,X0)),
inference(superposition,[],[f8,f31]) ).
fof(f431,plain,
! [X0] : join(sF9,X0) = join(b,join(sF9,X0)),
inference(superposition,[],[f8,f80]) ).
fof(f447,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(X2,X0))) = X0,
inference(superposition,[],[f61,f8]) ).
fof(f449,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f6,f8]) ).
fof(f523,plain,
! [X0] : meet(sF8,X0) = meet(c,meet(X0,a)),
inference(superposition,[],[f108,f5]) ).
fof(f526,plain,
! [X0] : meet(c,a) = meet(sF8,join(X0,a)),
inference(superposition,[],[f108,f61]) ).
fof(f532,plain,
! [X0] : sF8 = meet(sF8,join(X0,a)),
inference(forward_demodulation,[],[f526,f38]) ).
fof(f743,plain,
join(b,sF5) = join(sF6,meet(a,sF3)),
inference(superposition,[],[f428,f302]) ).
fof(f746,plain,
! [X0] : join(sF6,X0) = join(b,join(X0,sF5)),
inference(superposition,[],[f428,f6]) ).
fof(f760,plain,
sF6 = join(sF6,meet(a,sF3)),
inference(forward_demodulation,[],[f743,f24]) ).
fof(f917,plain,
! [X0] : meet(X0,join(b,meet(c,join(X0,a)))) = meet(X0,join(b,meet(c,join(X0,sF3)))),
inference(superposition,[],[f9,f39]) ).
fof(f1424,plain,
! [X0] : sF9 = join(sF9,meet(X0,sF10)),
inference(superposition,[],[f116,f89]) ).
fof(f1588,plain,
! [X0] : sF9 = join(sF9,meet(sF10,X0)),
inference(superposition,[],[f1424,f5]) ).
fof(f2215,plain,
meet(sF5,sF9) = meet(sF10,sF4),
inference(superposition,[],[f250,f105]) ).
fof(f2229,plain,
meet(sF9,sF5) = meet(sF10,sF4),
inference(forward_demodulation,[],[f2215,f5]) ).
fof(f2311,plain,
meet(sF10,sF5) = meet(a,meet(sF10,sF4)),
inference(superposition,[],[f105,f2229]) ).
fof(f2324,plain,
meet(sF10,sF5) = meet(sF10,sF4),
inference(forward_demodulation,[],[f2311,f175]) ).
fof(f2330,plain,
meet(sF10,sF5) = meet(sF9,sF5),
inference(backward_demodulation,[],[f2229,f2324]) ).
fof(f4081,plain,
join(sF9,sF5) = join(sF6,sF8),
inference(superposition,[],[f746,f430]) ).
fof(f4094,plain,
join(sF9,sF5) = join(sF8,sF6),
inference(forward_demodulation,[],[f4081,f6]) ).
fof(f4124,plain,
join(sF9,sF6) = join(b,join(sF9,sF5)),
inference(superposition,[],[f430,f4094]) ).
fof(f4139,plain,
join(sF9,sF6) = join(sF9,sF5),
inference(forward_demodulation,[],[f4124,f431]) ).
fof(f4146,plain,
join(sF9,sF6) = join(sF8,sF6),
inference(backward_demodulation,[],[f4094,f4139]) ).
fof(f4220,plain,
meet(sF3,a) = meet(sF8,join(b,a)),
inference(superposition,[],[f523,f109]) ).
fof(f4232,plain,
sF8 = meet(sF3,a),
inference(forward_demodulation,[],[f4220,f532]) ).
fof(f4247,plain,
sF8 = meet(a,sF3),
inference(forward_demodulation,[],[f4232,f5]) ).
fof(f4258,plain,
sF6 = join(sF6,sF8),
inference(backward_demodulation,[],[f760,f4247]) ).
fof(f4292,plain,
sF6 = join(sF8,sF6),
inference(forward_demodulation,[],[f4258,f6]) ).
fof(f4323,plain,
sF6 = join(sF9,sF6),
inference(backward_demodulation,[],[f4146,f4292]) ).
fof(f4325,plain,
sF6 = join(sF9,sF5),
inference(backward_demodulation,[],[f4139,f4323]) ).
fof(f6703,plain,
join(b,sF4) = join(b,sF3),
inference(superposition,[],[f413,f41]) ).
fof(f6824,plain,
! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,sF3)))) = meet(X0,join(b,meet(X1,join(X0,meet(X1,join(b,sF4)))))),
inference(superposition,[],[f9,f6703]) ).
fof(f6832,plain,
! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,sF3)))) = meet(X0,join(b,meet(X1,join(X0,sF4)))),
inference(forward_demodulation,[],[f6824,f9]) ).
fof(f6835,plain,
! [X0] : meet(X0,join(b,meet(c,join(X0,a)))) = meet(X0,join(b,meet(c,join(X0,sF4)))),
inference(backward_demodulation,[],[f917,f6832]) ).
fof(f8211,plain,
! [X0] : join(join(b,sF4),X0) = join(sF3,join(b,X0)),
inference(superposition,[],[f416,f6703]) ).
fof(f8371,plain,
! [X0] : join(join(b,sF4),X0) = join(b,join(X0,sF3)),
inference(forward_demodulation,[],[f8211,f449]) ).
fof(f8417,plain,
! [X0] : join(b,join(sF4,X0)) = join(b,join(X0,sF3)),
inference(forward_demodulation,[],[f8371,f8]) ).
fof(f8432,plain,
join(b,a) = join(b,join(sF4,a)),
inference(backward_demodulation,[],[f79,f8417]) ).
fof(f8437,plain,
join(b,a) = join(b,join(a,sF4)),
inference(forward_demodulation,[],[f8432,f6]) ).
fof(f8442,plain,
sF4 = meet(sF4,join(b,a)),
inference(superposition,[],[f447,f8437]) ).
fof(f8458,plain,
sF4 = meet(join(b,a),sF4),
inference(forward_demodulation,[],[f8442,f5]) ).
fof(f8464,plain,
meet(sF3,sF4) = meet(c,sF4),
inference(superposition,[],[f109,f8458]) ).
fof(f8481,plain,
meet(sF4,sF3) = meet(c,sF4),
inference(forward_demodulation,[],[f8464,f5]) ).
fof(f8484,plain,
sF3 = meet(c,sF4),
inference(forward_demodulation,[],[f8481,f159]) ).
fof(f35306,plain,
meet(sF5,join(b,meet(c,join(sF5,a)))) = meet(sF5,join(b,meet(c,sF4))),
inference(superposition,[],[f6835,f84]) ).
fof(f35407,plain,
meet(sF5,join(b,meet(c,join(sF5,a)))) = meet(sF5,join(b,sF3)),
inference(forward_demodulation,[],[f35306,f8484]) ).
fof(f35443,plain,
meet(sF5,join(b,sF4)) = meet(sF5,join(b,meet(c,join(sF5,a)))),
inference(forward_demodulation,[],[f35407,f6703]) ).
fof(f35469,plain,
meet(sF5,join(b,sF4)) = meet(sF5,join(b,meet(c,join(a,sF5)))),
inference(forward_demodulation,[],[f35443,f6]) ).
fof(f35494,plain,
meet(sF5,join(b,sF4)) = meet(sF5,join(b,meet(c,a))),
inference(forward_demodulation,[],[f35469,f47]) ).
fof(f35516,plain,
meet(sF5,join(b,sF4)) = meet(sF5,join(b,sF8)),
inference(forward_demodulation,[],[f35494,f38]) ).
fof(f35532,plain,
meet(sF5,join(b,sF4)) = meet(sF5,sF9),
inference(forward_demodulation,[],[f35516,f31]) ).
fof(f35543,plain,
meet(sF5,join(b,sF4)) = meet(sF9,sF5),
inference(forward_demodulation,[],[f35532,f5]) ).
fof(f35547,plain,
meet(sF10,sF5) = meet(sF5,join(b,sF4)),
inference(forward_demodulation,[],[f35543,f2330]) ).
fof(f35548,plain,
sF5 = meet(sF10,sF5),
inference(forward_demodulation,[],[f35547,f260]) ).
fof(f35562,plain,
sF9 = join(sF9,sF5),
inference(superposition,[],[f1588,f35548]) ).
fof(f35607,plain,
sF6 = sF9,
inference(backward_demodulation,[],[f4325,f35562]) ).
fof(f35616,plain,
sF7 = meet(a,sF9),
inference(backward_demodulation,[],[f26,f35607]) ).
fof(f36357,plain,
sF7 = sF10,
inference(forward_demodulation,[],[f35616,f33]) ).
fof(f36631,plain,
~ sP0(sF10),
inference(backward_demodulation,[],[f27,f36357]) ).
fof(f37055,plain,
$false,
inference(forward_subsumption_resolution,[],[f36631,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT159-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n011.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 14:03:31 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 20.09/3.66 % (2438511)Detected a unit-equality problem, will run specialized UEQ schedule.
% 20.09/3.66 % (2438526)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1698048330:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 20.09/3.66 % (2438521)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=3874915019:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 20.09/3.66 % (2438527)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4292242239:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 20.09/3.66 % (2438522)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=3767557495:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 20.09/3.66 % (2438525)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=309914317:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 20.09/3.66 % (2438524)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3521848329:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 20.09/3.66 % (2438523)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1487936015:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 20.09/3.66 % (2438525)Refutation not found, incomplete strategy
% 20.09/3.66 % (2438525)------------------------------
% 20.09/3.66 % (2438525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438525)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438525)Termination reason: Refutation not found, incomplete strategy
% 20.09/3.66 % (2438525)Time elapsed: 0.002 s
% 20.09/3.66 % (2438525)Peak memory usage: 87 MB
% 20.09/3.66 % (2438525)Instructions burned: 1 (million)
% 20.09/3.66 % (2438526)Instruction limit reached!
% 20.09/3.66 % (2438526)------------------------------
% 20.09/3.66 % (2438526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438526)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438526)Termination reason: Instruction limit
% 20.09/3.66 % (2438526)Termination phase: Saturation
% 20.09/3.66 % (2438526)Time elapsed: 0.135 s
% 20.09/3.66 % (2438526)Peak memory usage: 90 MB
% 20.09/3.66 % (2438526)Instructions burned: 258 (million)
% 20.09/3.66 % (2438524)Instruction limit reached!
% 20.09/3.66 % (2438524)------------------------------
% 20.09/3.66 % (2438524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438524)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438524)Termination reason: Instruction limit
% 20.09/3.66 % (2438524)Termination phase: Saturation
% 20.09/3.66 % (2438524)Time elapsed: 0.138 s
% 20.09/3.66 % (2438524)Peak memory usage: 89 MB
% 20.09/3.66 % (2438524)Instructions burned: 136 (million)
% 20.09/3.66 % (2438536)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2050846934:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 20.09/3.66 % (2438525)------------------------------
% 20.09/3.66 % (2438525)------------------------------
% 20.09/3.66 % (2438538)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1820960987:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 20.09/3.66 % (2438542)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2149000320:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 20.09/3.66 % (2438542)Instruction limit reached!
% 20.09/3.66 % (2438542)------------------------------
% 20.09/3.66 % (2438542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438542)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438542)Termination reason: Instruction limit
% 20.09/3.66 % (2438542)Termination phase: Saturation
% 20.09/3.66 % (2438542)Time elapsed: 0.143 s
% 20.09/3.66 % (2438542)Peak memory usage: 90 MB
% 20.09/3.66 % (2438542)Instructions burned: 215 (million)
% 20.09/3.66 % (2438546)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=2505976834:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 20.09/3.66 % (2438527)Instruction limit reached!
% 20.09/3.66 % (2438527)------------------------------
% 20.09/3.66 % (2438527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438527)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438527)Termination reason: Instruction limit
% 20.09/3.66 % (2438527)Termination phase: Saturation
% 20.09/3.66 % (2438527)Time elapsed: 1.039 s
% 20.09/3.66 % (2438527)Peak memory usage: 97 MB
% 20.09/3.66 % (2438527)Instructions burned: 1191 (million)
% 20.09/3.66 % (2438549)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=2184347528:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 20.09/3.66 % (2438546)Instruction limit reached!
% 20.09/3.66 % (2438546)------------------------------
% 20.09/3.66 % (2438546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438546)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438546)Termination reason: Instruction limit
% 20.09/3.66 % (2438546)Termination phase: Saturation
% 20.09/3.66 % (2438546)Time elapsed: 0.335 s
% 20.09/3.66 % (2438546)Peak memory usage: 94 MB
% 20.09/3.66 % (2438546)Instructions burned: 317 (million)
% 20.09/3.66 % (2438551)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=412509488:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 20.09/3.66 % (2438536)Instruction limit reached!
% 20.09/3.66 % (2438536)------------------------------
% 20.09/3.66 % (2438536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.09/3.66 % (2438536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.09/3.66 % (2438536)CaDiCaL version: 2.1.3
% 20.09/3.66 % (2438536)Termination reason: Instruction limit
% 20.09/3.66 % (2438536)Termination phase: Saturation
% 20.09/3.66 % (2438536)Time elapsed: 2.109 s
% 20.09/3.66 % (2438536)Peak memory usage: 142 MB
% 20.09/3.66 % (2438536)Instructions burned: 2051 (million)
% 20.09/3.66 % (2438551)First to succeed.
% 20.09/3.66 % (2438551)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2438511"
% 20.09/3.66 % (2438555)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=4187372284:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2974 on theBenchmark for (2974ds/14534Mi)
% 20.09/3.66 % (2438551)Refutation found. Thanks to Tanya!
% 20.09/3.66 % SZS status Unsatisfiable for theBenchmark
% 20.09/3.66 % SZS output start Proof for theBenchmark
% See solution above
% 20.94/3.92 % (2438551)------------------------------
% 20.94/3.92 % (2438551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.94/3.92 % (2438551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.94/3.92 % (2438551)CaDiCaL version: 2.1.3
% 20.94/3.92 % (2438551)Termination reason: Refutation
% 20.94/3.92 % (2438551)Time elapsed: 0.941 s
% 20.94/3.92 % (2438551)Peak memory usage: 118 MB
% 20.94/3.92 % (2438551)Instructions burned: 1605 (million)
% 20.94/3.92 % (2438551)------------------------------
% 20.94/3.92 % (2438551)------------------------------
% 20.94/3.92 % (2438511)Success in time 2.882 s
% 20.94/3.92 % Vampire exiting
%------------------------------------------------------------------------------