%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT139-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 11:46:03 AM UTC 2026
% Result : Unsatisfiable 17.02s 5.91s
% Output : Refutation 36.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 96 ( 96 unt; 8 def)
% Number of atoms : 96 ( 95 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,join(X2,meet(X0,X1))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H11) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(a,meet(b,c))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H10) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = meet(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
meet(b,c) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = join(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
join(a,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(c,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(c,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,
sF2 != sF7,
inference(definition_folding,[],[f10,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f31,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f42,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f57,plain,
a = meet(a,sF4),
inference(superposition,[],[f3,f20]) ).
fof(f68,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(X0,meet(X2,join(X1,meet(X0,join(X2,meet(X0,X1))))))),
inference(superposition,[],[f9,f5]) ).
fof(f72,plain,
! [X0] : meet(b,join(c,meet(b,X0))) = meet(b,join(c,meet(X0,join(b,meet(c,join(X0,sF3)))))),
inference(superposition,[],[f9,f18]) ).
fof(f100,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f31]) ).
fof(f105,plain,
! [X0] : join(b,join(sF0,X0)) = join(sF1,X0),
inference(superposition,[],[f8,f14]) ).
fof(f114,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f3,f8]) ).
fof(f123,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f127,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f130,plain,
! [X0] : meet(a,meet(sF6,X0)) = meet(sF7,X0),
inference(superposition,[],[f7,f26]) ).
fof(f133,plain,
! [X0] : meet(c,meet(sF4,X0)) = meet(sF5,X0),
inference(superposition,[],[f7,f22]) ).
fof(f147,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f199,plain,
! [X0] : meet(b,X0) = meet(b,meet(sF1,X0)),
inference(superposition,[],[f123,f14]) ).
fof(f205,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f123,f5]) ).
fof(f565,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f100,f6]) ).
fof(f703,plain,
! [X0] : meet(sF5,X0) = meet(c,meet(X0,sF4)),
inference(superposition,[],[f133,f5]) ).
fof(f861,plain,
meet(b,join(c,meet(b,a))) = meet(b,join(c,meet(a,join(b,meet(c,sF4))))),
inference(superposition,[],[f72,f20]) ).
fof(f883,plain,
meet(b,join(c,meet(b,a))) = meet(b,join(c,meet(a,join(b,sF5)))),
inference(forward_demodulation,[],[f861,f22]) ).
fof(f889,plain,
meet(b,join(c,meet(b,a))) = meet(b,join(c,meet(a,sF6))),
inference(forward_demodulation,[],[f883,f24]) ).
fof(f893,plain,
meet(b,join(c,meet(b,a))) = meet(b,join(c,sF7)),
inference(forward_demodulation,[],[f889,f26]) ).
fof(f896,plain,
meet(b,join(c,sF7)) = meet(b,join(c,meet(a,b))),
inference(forward_demodulation,[],[f893,f5]) ).
fof(f897,plain,
meet(a,join(b,meet(a,c))) = meet(a,join(b,meet(c,join(a,meet(b,join(c,sF7)))))),
inference(superposition,[],[f9,f896]) ).
fof(f899,plain,
! [X0] : meet(b,meet(join(c,meet(a,b)),X0)) = meet(meet(b,join(c,sF7)),X0),
inference(superposition,[],[f7,f896]) ).
fof(f911,plain,
! [X0] : meet(b,meet(join(c,meet(a,b)),X0)) = meet(b,meet(join(c,sF7),X0)),
inference(forward_demodulation,[],[f899,f7]) ).
fof(f912,plain,
meet(a,join(b,meet(c,join(a,meet(b,join(c,sF7)))))) = meet(a,join(b,sF0)),
inference(forward_demodulation,[],[f897,f12]) ).
fof(f916,plain,
meet(a,sF1) = meet(a,join(b,meet(c,join(a,meet(b,join(c,sF7)))))),
inference(forward_demodulation,[],[f912,f14]) ).
fof(f919,plain,
sF2 = meet(a,join(b,meet(c,join(a,meet(b,join(c,sF7)))))),
inference(forward_demodulation,[],[f916,f16]) ).
fof(f1418,plain,
! [X0] : meet(b,X0) = meet(b,meet(X0,sF1)),
inference(superposition,[],[f205,f14]) ).
fof(f1429,plain,
meet(b,a) = meet(b,sF2),
inference(superposition,[],[f205,f919]) ).
fof(f1493,plain,
meet(a,b) = meet(b,sF2),
inference(forward_demodulation,[],[f1429,f5]) ).
fof(f1623,plain,
! [X0] : meet(c,join(a,meet(c,X0))) = meet(c,join(a,meet(X0,join(c,meet(a,join(X0,sF0)))))),
inference(superposition,[],[f68,f12]) ).
fof(f2126,plain,
meet(c,a) = meet(sF5,a),
inference(superposition,[],[f703,f57]) ).
fof(f2168,plain,
meet(c,a) = meet(a,sF5),
inference(forward_demodulation,[],[f2126,f5]) ).
fof(f2179,plain,
meet(a,c) = meet(a,sF5),
inference(forward_demodulation,[],[f2168,f5]) ).
fof(f2183,plain,
sF0 = meet(a,sF5),
inference(forward_demodulation,[],[f2179,f12]) ).
fof(f2188,plain,
sF5 = join(sF5,sF0),
inference(superposition,[],[f31,f2183]) ).
fof(f2201,plain,
sF5 = join(sF0,sF5),
inference(forward_demodulation,[],[f2188,f6]) ).
fof(f2392,plain,
! [X0] : meet(sF7,X0) = meet(a,meet(X0,sF6)),
inference(superposition,[],[f130,f5]) ).
fof(f2508,plain,
! [X0] : join(sF2,X0) = join(sF2,join(X0,meet(a,b))),
inference(superposition,[],[f565,f1493]) ).
fof(f3526,plain,
join(b,sF5) = join(sF1,sF5),
inference(superposition,[],[f105,f2201]) ).
fof(f3543,plain,
sF6 = join(sF1,sF5),
inference(forward_demodulation,[],[f3526,f24]) ).
fof(f3563,plain,
sF1 = meet(sF1,sF6),
inference(superposition,[],[f3,f3543]) ).
fof(f4918,plain,
meet(c,join(a,meet(c,b))) = meet(c,join(a,meet(b,join(c,meet(a,sF1))))),
inference(superposition,[],[f1623,f14]) ).
fof(f4965,plain,
meet(c,join(a,meet(c,b))) = meet(c,join(a,meet(b,join(c,sF2)))),
inference(forward_demodulation,[],[f4918,f16]) ).
fof(f4978,plain,
meet(c,join(a,meet(b,c))) = meet(c,join(a,meet(b,join(c,sF2)))),
inference(forward_demodulation,[],[f4965,f5]) ).
fof(f4986,plain,
meet(c,join(a,sF3)) = meet(c,join(a,meet(b,join(c,sF2)))),
inference(forward_demodulation,[],[f4978,f18]) ).
fof(f4991,plain,
meet(c,sF4) = meet(c,join(a,meet(b,join(c,sF2)))),
inference(forward_demodulation,[],[f4986,f20]) ).
fof(f4993,plain,
sF5 = meet(c,join(a,meet(b,join(c,sF2)))),
inference(forward_demodulation,[],[f4991,f22]) ).
fof(f5813,plain,
meet(a,sF1) = meet(sF7,sF1),
inference(superposition,[],[f2392,f3563]) ).
fof(f5843,plain,
meet(a,sF1) = meet(sF1,sF7),
inference(forward_demodulation,[],[f5813,f5]) ).
fof(f5847,plain,
sF2 = meet(sF1,sF7),
inference(forward_demodulation,[],[f5843,f16]) ).
fof(f5852,plain,
sF7 = join(sF7,sF2),
inference(superposition,[],[f31,f5847]) ).
fof(f5874,plain,
sF7 = join(sF2,sF7),
inference(forward_demodulation,[],[f5852,f6]) ).
fof(f5885,plain,
! [X0] : join(X0,sF2) = meet(join(X0,sF2),join(X0,sF7)),
inference(superposition,[],[f114,f5874]) ).
fof(f8526,plain,
! [X0] : meet(b,join(c,meet(a,b))) = meet(b,meet(join(c,sF7),join(X0,join(c,meet(a,b))))),
inference(superposition,[],[f911,f42]) ).
fof(f8594,plain,
! [X0] : meet(b,join(c,sF7)) = meet(b,meet(join(c,sF7),join(X0,join(c,meet(a,b))))),
inference(forward_demodulation,[],[f8526,f896]) ).
fof(f11165,plain,
! [X0,X1] : meet(b,meet(X0,X1)) = meet(b,meet(X0,meet(X1,sF1))),
inference(superposition,[],[f199,f147]) ).
fof(f24200,plain,
! [X0,X1] : meet(meet(b,X0),X1) = meet(meet(X0,sF1),meet(b,X1)),
inference(superposition,[],[f127,f1418]) ).
fof(f24244,plain,
! [X0,X1] : meet(meet(b,X0),X1) = meet(b,meet(X1,meet(X0,sF1))),
inference(forward_demodulation,[],[f24200,f147]) ).
fof(f24277,plain,
! [X0,X1] : meet(b,meet(X1,X0)) = meet(meet(b,X0),X1),
inference(forward_demodulation,[],[f24244,f11165]) ).
fof(f24291,plain,
! [X0,X1] : meet(b,meet(X0,X1)) = meet(b,meet(X1,X0)),
inference(forward_demodulation,[],[f24277,f7]) ).
fof(f44041,plain,
meet(b,join(c,sF7)) = meet(b,meet(join(c,sF7),join(sF2,c))),
inference(superposition,[],[f8594,f2508]) ).
fof(f44106,plain,
meet(b,join(c,sF7)) = meet(b,meet(join(c,sF7),join(c,sF2))),
inference(forward_demodulation,[],[f44041,f6]) ).
fof(f44124,plain,
meet(b,join(c,sF7)) = meet(b,meet(join(c,sF2),join(c,sF7))),
inference(forward_demodulation,[],[f44106,f24291]) ).
fof(f44132,plain,
meet(b,join(c,sF7)) = meet(b,join(c,sF2)),
inference(forward_demodulation,[],[f44124,f5885]) ).
fof(f44141,plain,
sF2 = meet(a,join(b,meet(c,join(a,meet(b,join(c,sF2)))))),
inference(superposition,[],[f919,f44132]) ).
fof(f44221,plain,
sF2 = meet(a,join(b,sF5)),
inference(forward_demodulation,[],[f44141,f4993]) ).
fof(f44238,plain,
sF2 = meet(a,sF6),
inference(forward_demodulation,[],[f44221,f24]) ).
fof(f44248,plain,
sF2 = sF7,
inference(superposition,[],[f26,f44238]) ).
fof(f44331,plain,
$false,
inference(forward_subsumption_resolution,[],[f44248,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT139-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 14:02:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.02/5.91 % (2060465)Detected a unit-equality problem, will run specialized UEQ schedule.
% 17.02/5.91 % (2060474)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=588977846:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 17.02/5.91 % (2060471)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=319763278:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 17.02/5.91 % (2060475)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2443620897:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 17.02/5.91 % (2060473)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=525698774:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 17.02/5.91 % (2060476)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3955655057:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 17.02/5.91 % (2060472)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=879542387:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 17.02/5.91 % (2060477)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2151327754:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 17.02/5.91 % (2060475)Refutation not found, incomplete strategy
% 17.02/5.91 % (2060475)------------------------------
% 17.02/5.91 % (2060475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060475)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060475)Termination reason: Refutation not found, incomplete strategy
% 17.02/5.91 % (2060475)Time elapsed: 0.001 s
% 17.02/5.91 % (2060475)Peak memory usage: 87 MB
% 17.02/5.91 % (2060475)Instructions burned: 1 (million)
% 17.02/5.91 % (2060474)Instruction limit reached!
% 17.02/5.91 % (2060474)------------------------------
% 17.02/5.91 % (2060474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060474)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060474)Termination reason: Instruction limit
% 17.02/5.91 % (2060474)Termination phase: Saturation
% 17.02/5.91 % (2060474)Time elapsed: 0.045 s
% 17.02/5.91 % (2060474)Peak memory usage: 89 MB
% 17.02/5.91 % (2060474)Instructions burned: 139 (million)
% 17.02/5.91 % (2060485)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=133513155:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 17.02/5.91 % (2060476)Instruction limit reached!
% 17.02/5.91 % (2060476)------------------------------
% 17.02/5.91 % (2060476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060476)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060476)Termination reason: Instruction limit
% 17.02/5.91 % (2060476)Termination phase: Saturation
% 17.02/5.91 % (2060476)Time elapsed: 0.158 s
% 17.02/5.91 % (2060476)Peak memory usage: 90 MB
% 17.02/5.91 % (2060476)Instructions burned: 257 (million)
% 17.02/5.91 % (2060475)------------------------------
% 17.02/5.91 % (2060475)------------------------------
% 17.02/5.91 % (2060487)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2404471127:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 17.02/5.91 % (2060488)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2423955911:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 17.02/5.91 % (2060488)Instruction limit reached!
% 17.02/5.91 % (2060488)------------------------------
% 17.02/5.91 % (2060488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060488)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060488)Termination reason: Instruction limit
% 17.02/5.91 % (2060488)Termination phase: Saturation
% 17.02/5.91 % (2060488)Time elapsed: 0.107 s
% 17.02/5.91 % (2060488)Peak memory usage: 89 MB
% 17.02/5.91 % (2060488)Instructions burned: 216 (million)
% 17.02/5.91 % (2060491)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=1824304632: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)
% 17.02/5.91 % (2060477)Instruction limit reached!
% 17.02/5.91 % (2060477)------------------------------
% 17.02/5.91 % (2060477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060477)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060477)Termination reason: Instruction limit
% 17.02/5.91 % (2060477)Termination phase: Saturation
% 17.02/5.91 % (2060477)Time elapsed: 0.616 s
% 17.02/5.91 % (2060477)Peak memory usage: 99 MB
% 17.02/5.91 % (2060477)Instructions burned: 1187 (million)
% 17.02/5.91 % (2060491)Instruction limit reached!
% 17.02/5.91 % (2060491)------------------------------
% 17.02/5.91 % (2060491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060491)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060491)Termination reason: Instruction limit
% 17.02/5.91 % (2060491)Termination phase: Saturation
% 17.02/5.91 % (2060491)Time elapsed: 0.105 s
% 17.02/5.91 % (2060491)Peak memory usage: 94 MB
% 17.02/5.91 % (2060491)Instructions burned: 318 (million)
% 17.02/5.91 % (2060493)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=1564395399:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 17.02/5.91 % (2060494)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3660367220:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 17.02/5.91 % (2060485)Instruction limit reached!
% 17.02/5.91 % (2060485)------------------------------
% 17.02/5.91 % (2060485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060485)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060485)Termination reason: Instruction limit
% 17.02/5.91 % (2060485)Termination phase: Saturation
% 17.02/5.91 % (2060485)Time elapsed: 1.057 s
% 17.02/5.91 % (2060485)Peak memory usage: 142 MB
% 17.02/5.91 % (2060485)Instructions burned: 2052 (million)
% 17.02/5.91 % (2060497)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2626877176:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 17.02/5.91 % (2060494)Instruction limit reached!
% 17.02/5.91 % (2060494)------------------------------
% 17.02/5.91 % (2060494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060494)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060494)Termination reason: Instruction limit
% 17.02/5.91 % (2060494)Termination phase: Saturation
% 17.02/5.91 % (2060494)Time elapsed: 0.989 s
% 17.02/5.91 % (2060494)Peak memory usage: 143 MB
% 17.02/5.91 % (2060494)Instructions burned: 2837 (million)
% 17.02/5.91 % (2060499)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1112912875:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/11832Mi)
% 17.02/5.91 % (2060487)Instruction limit reached!
% 17.02/5.91 % (2060487)------------------------------
% 17.02/5.91 % (2060487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060487)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060487)Termination reason: Instruction limit
% 17.02/5.91 % (2060487)Termination phase: Saturation
% 17.02/5.91 % (2060487)Time elapsed: 2.932 s
% 17.02/5.91 % (2060487)Peak memory usage: 166 MB
% 17.02/5.91 % (2060487)Instructions burned: 4948 (million)
% 17.02/5.91 % (2060501)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1943989447:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 17.02/5.91 % (2060493)First to succeed.
% 17.02/5.91 % (2060493)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2060465"
% 17.02/5.91 % (2060501)Instruction limit reached!
% 17.02/5.91 % (2060501)------------------------------
% 17.02/5.91 % (2060501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.02/5.91 % (2060501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.02/5.91 % (2060501)CaDiCaL version: 2.1.3
% 17.02/5.91 % (2060501)Termination reason: Instruction limit
% 17.02/5.91 % (2060501)Termination phase: Saturation
% 17.02/5.91 % (2060501)Time elapsed: 1.368 s
% 17.02/5.91 % (2060501)Peak memory usage: 140 MB
% 17.02/5.91 % (2060501)Instructions burned: 2279 (million)
% 17.02/5.91 % (2060503)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2675973221:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 17.02/5.91 % (2060493)Refutation found. Thanks to Tanya!
% 17.02/5.91 % SZS status Unsatisfiable for theBenchmark
% 17.02/5.91 % SZS output start Proof for theBenchmark
% See solution above
% 36.33/6.11 % (2060493)------------------------------
% 36.33/6.11 % (2060493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.33/6.11 % (2060493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/6.11 % (2060493)CaDiCaL version: 2.1.3
% 36.33/6.11 % (2060493)Termination reason: Refutation
% 36.33/6.11 % (2060493)Time elapsed: 3.848 s
% 36.33/6.11 % (2060493)Peak memory usage: 187 MB
% 36.33/6.11 % (2060493)Instructions burned: 6447 (million)
% 36.33/6.11 % (2060493)------------------------------
% 36.33/6.11 % (2060493)------------------------------
% 36.33/6.11 % (2060465)Success in time 5.05 s
% 36.33/6.11 % Vampire exiting
%------------------------------------------------------------------------------