%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT144-1 : 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 : n016.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 11:46:04 AM UTC 2026
% Result : Unsatisfiable 23.25s 4.29s
% Output : Refutation 23.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 104 ( 104 unt; 10 def)
% Number of atoms : 104 ( 103 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 71 ( 71 !; 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(X0,meet(X2,X3)))) = meet(X0,join(X1,meet(X2,join(meet(X0,X3),meet(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H32) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H2) ).
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 = join(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(b,c) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(a,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(b,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(b,c) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(c,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(c,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = join(b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
join(b,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF9 = meet(a,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f30,plain,
meet(a,sF8) = sF9,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
sF2 != sF9,
inference(definition_folding,[],[f10,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X0,meet(X2,join(X0,X3))))) = meet(X0,join(X1,meet(X2,join(X0,meet(X1,join(X0,X3)))))),
inference(superposition,[],[f9,f3]) ).
fof(f75,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f81,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f100,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f75,f81]) ).
fof(f106,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f100,f6]) ).
fof(f110,plain,
b = join(b,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f114,plain,
c = join(c,sF5),
inference(superposition,[],[f75,f22]) ).
fof(f116,plain,
c = meet(c,sF3),
inference(superposition,[],[f81,f18]) ).
fof(f128,plain,
sF3 = join(sF3,sF4),
inference(superposition,[],[f75,f20]) ).
fof(f130,plain,
sF7 = meet(sF7,sF8),
inference(superposition,[],[f81,f28]) ).
fof(f131,plain,
b = meet(b,sF8),
inference(superposition,[],[f3,f28]) ).
fof(f138,plain,
sF6 = join(sF6,sF7),
inference(superposition,[],[f75,f26]) ).
fof(f141,plain,
sF4 = meet(sF4,sF6),
inference(superposition,[],[f3,f24]) ).
fof(f145,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f148,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f81]) ).
fof(f152,plain,
! [X0] : meet(a,meet(sF3,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f20]) ).
fof(f153,plain,
! [X0] : meet(c,meet(sF6,X0)) = meet(sF7,X0),
inference(superposition,[],[f7,f26]) ).
fof(f194,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f195,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f75]) ).
fof(f199,plain,
! [X0] : join(b,join(c,X0)) = join(sF3,X0),
inference(superposition,[],[f8,f18]) ).
fof(f200,plain,
! [X0] : join(b,join(sF7,X0)) = join(sF8,X0),
inference(superposition,[],[f8,f28]) ).
fof(f202,plain,
! [X0] : join(sF4,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f8,f24]) ).
fof(f209,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f228,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f145,f5]) ).
fof(f269,plain,
! [X0] : join(a,X0) = join(a,join(sF4,X0)),
inference(superposition,[],[f194,f20]) ).
fof(f275,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f194,f6]) ).
fof(f1395,plain,
! [X0] : meet(sF7,X0) = meet(sF7,meet(sF8,X0)),
inference(superposition,[],[f148,f28]) ).
fof(f1902,plain,
! [X0] : meet(sF4,X0) = meet(a,meet(X0,sF3)),
inference(superposition,[],[f152,f5]) ).
fof(f1998,plain,
! [X0] : meet(sF7,X0) = meet(c,meet(X0,sF6)),
inference(superposition,[],[f153,f5]) ).
fof(f2279,plain,
! [X0] : join(sF8,X0) = join(b,join(X0,sF7)),
inference(superposition,[],[f200,f6]) ).
fof(f3073,plain,
join(b,c) = join(sF3,sF5),
inference(superposition,[],[f199,f114]) ).
fof(f3086,plain,
sF3 = join(sF3,sF5),
inference(forward_demodulation,[],[f3073,f18]) ).
fof(f3119,plain,
! [X0] : join(a,X0) = join(a,join(X0,sF4)),
inference(superposition,[],[f275,f20]) ).
fof(f3240,plain,
! [X0] : join(sF6,X0) = join(sF4,join(X0,sF5)),
inference(superposition,[],[f202,f6]) ).
fof(f3652,plain,
meet(a,c) = meet(sF4,c),
inference(superposition,[],[f1902,f116]) ).
fof(f3719,plain,
meet(a,c) = meet(c,sF4),
inference(forward_demodulation,[],[f3652,f5]) ).
fof(f3734,plain,
sF0 = meet(c,sF4),
inference(forward_demodulation,[],[f3719,f12]) ).
fof(f3861,plain,
! [X0] : join(sF8,X0) = join(sF8,join(b,X0)),
inference(superposition,[],[f195,f131]) ).
fof(f3863,plain,
! [X0] : join(sF8,X0) = join(b,join(X0,sF8)),
inference(forward_demodulation,[],[f3861,f209]) ).
fof(f6045,plain,
join(sF6,b) = join(sF4,b),
inference(superposition,[],[f3240,f110]) ).
fof(f6080,plain,
join(sF6,b) = join(b,sF4),
inference(forward_demodulation,[],[f6045,f6]) ).
fof(f6090,plain,
join(b,sF4) = join(b,sF6),
inference(forward_demodulation,[],[f6080,f6]) ).
fof(f7237,plain,
join(b,sF6) = join(sF8,sF6),
inference(superposition,[],[f2279,f138]) ).
fof(f7256,plain,
join(b,sF6) = join(sF6,sF8),
inference(forward_demodulation,[],[f7237,f6]) ).
fof(f7257,plain,
join(b,sF4) = join(sF6,sF8),
inference(forward_demodulation,[],[f7256,f6090]) ).
fof(f7261,plain,
join(b,sF4) = join(sF8,join(b,sF4)),
inference(superposition,[],[f106,f7257]) ).
fof(f7273,plain,
join(b,sF4) = join(sF4,join(sF8,b)),
inference(forward_demodulation,[],[f7261,f209]) ).
fof(f7277,plain,
join(b,sF4) = join(b,join(sF4,sF8)),
inference(forward_demodulation,[],[f7273,f209]) ).
fof(f7279,plain,
join(b,sF4) = join(sF8,sF4),
inference(forward_demodulation,[],[f7277,f3863]) ).
fof(f7280,plain,
join(b,sF4) = join(sF4,sF8),
inference(forward_demodulation,[],[f7279,f6]) ).
fof(f8381,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,meet(X2,join(X1,X0))))) = meet(X1,join(X0,meet(X2,join(X1,X0)))),
inference(superposition,[],[f34,f81]) ).
fof(f8529,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,join(X0,meet(X2,join(X1,X0)))),
inference(forward_demodulation,[],[f8381,f228]) ).
fof(f9548,plain,
join(sF4,sF3) = join(sF6,sF3),
inference(superposition,[],[f3240,f3086]) ).
fof(f9573,plain,
join(sF4,sF3) = join(sF3,sF6),
inference(forward_demodulation,[],[f9548,f6]) ).
fof(f9575,plain,
join(sF3,sF4) = join(sF3,sF6),
inference(forward_demodulation,[],[f9573,f6]) ).
fof(f9576,plain,
sF3 = join(sF3,sF6),
inference(forward_demodulation,[],[f9575,f128]) ).
fof(f10303,plain,
sF6 = meet(sF6,sF3),
inference(superposition,[],[f81,f9576]) ).
fof(f10322,plain,
sF6 = meet(sF3,sF6),
inference(forward_demodulation,[],[f10303,f5]) ).
fof(f10325,plain,
meet(sF4,sF6) = meet(a,sF6),
inference(superposition,[],[f152,f10322]) ).
fof(f10379,plain,
sF4 = meet(a,sF6),
inference(forward_demodulation,[],[f10325,f141]) ).
fof(f10392,plain,
meet(c,sF4) = meet(sF7,a),
inference(superposition,[],[f1998,f10379]) ).
fof(f10444,plain,
meet(a,sF7) = meet(c,sF4),
inference(forward_demodulation,[],[f10392,f5]) ).
fof(f10449,plain,
sF0 = meet(a,sF7),
inference(forward_demodulation,[],[f10444,f3734]) ).
fof(f18716,plain,
join(a,sF8) = join(a,join(b,sF4)),
inference(superposition,[],[f269,f7280]) ).
fof(f18792,plain,
join(a,b) = join(a,sF8),
inference(forward_demodulation,[],[f18716,f3119]) ).
fof(f18812,plain,
sF8 = meet(sF8,join(a,b)),
inference(superposition,[],[f81,f18792]) ).
fof(f18843,plain,
meet(sF7,sF8) = meet(sF7,join(a,b)),
inference(superposition,[],[f1395,f18812]) ).
fof(f18922,plain,
sF7 = meet(sF7,join(a,b)),
inference(forward_demodulation,[],[f18843,f130]) ).
fof(f19060,plain,
meet(a,join(b,meet(a,sF7))) = meet(a,join(b,sF7)),
inference(superposition,[],[f8529,f18922]) ).
fof(f19128,plain,
meet(a,sF8) = meet(a,join(b,meet(a,sF7))),
inference(forward_demodulation,[],[f19060,f28]) ).
fof(f19143,plain,
meet(a,sF8) = meet(a,join(b,sF0)),
inference(forward_demodulation,[],[f19128,f10449]) ).
fof(f19151,plain,
meet(a,sF1) = meet(a,sF8),
inference(forward_demodulation,[],[f19143,f14]) ).
fof(f19158,plain,
meet(a,sF1) = sF9,
inference(forward_demodulation,[],[f19151,f30]) ).
fof(f19162,plain,
sF2 = sF9,
inference(forward_demodulation,[],[f19158,f16]) ).
fof(f19164,plain,
$false,
inference(forward_subsumption_resolution,[],[f19162,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT144-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 14:07:47 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 23.25/4.29 % (2672217)Detected a unit-equality problem, will run specialized UEQ schedule.
% 23.25/4.29 % (2672230)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4030936185:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 23.25/4.29 % (2672230)Refutation not found, incomplete strategy
% 23.25/4.29 % (2672230)------------------------------
% 23.25/4.29 % (2672230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672230)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672230)Termination reason: Refutation not found, incomplete strategy
% 23.25/4.29 % (2672230)Time elapsed: 0.001 s
% 23.25/4.29 % (2672230)Peak memory usage: 87 MB
% 23.25/4.29 % (2672230)Instructions burned: 1 (million)
% 23.25/4.29 % (2672232)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=651490463:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 23.25/4.29 % (2672231)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1667083531:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 23.25/4.29 % (2672228)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1778639091:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 23.25/4.29 % (2672226)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=3796078939:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 23.25/4.29 % (2672227)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=1457524068:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 23.25/4.29 % (2672229)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=278248904:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 23.25/4.29 % (2672229)Instruction limit reached!
% 23.25/4.29 % (2672229)------------------------------
% 23.25/4.29 % (2672229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672229)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672229)Termination reason: Instruction limit
% 23.25/4.29 % (2672229)Termination phase: Saturation
% 23.25/4.29 % (2672229)Time elapsed: 0.084 s
% 23.25/4.29 % (2672229)Peak memory usage: 89 MB
% 23.25/4.29 % (2672229)Instructions burned: 137 (million)
% 23.25/4.29 % (2672230)------------------------------
% 23.25/4.29 % (2672230)------------------------------
% 23.25/4.29 % (2672231)Instruction limit reached!
% 23.25/4.29 % (2672231)------------------------------
% 23.25/4.29 % (2672231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672231)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672231)Termination reason: Instruction limit
% 23.25/4.29 % (2672231)Termination phase: Saturation
% 23.25/4.29 % (2672231)Time elapsed: 0.159 s
% 23.25/4.29 % (2672231)Peak memory usage: 90 MB
% 23.25/4.29 % (2672231)Instructions burned: 257 (million)
% 23.25/4.29 % (2672280)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3590515323:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 23.25/4.29 % (2672279)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2106273019:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 23.25/4.29 % (2672281)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1193517356:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 23.25/4.29 % (2672281)Instruction limit reached!
% 23.25/4.29 % (2672281)------------------------------
% 23.25/4.29 % (2672281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672281)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672281)Termination reason: Instruction limit
% 23.25/4.29 % (2672281)Termination phase: Saturation
% 23.25/4.29 % (2672281)Time elapsed: 0.103 s
% 23.25/4.29 % (2672281)Peak memory usage: 90 MB
% 23.25/4.29 % (2672281)Instructions burned: 216 (million)
% 23.25/4.29 % (2672285)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=3806645485:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 23.25/4.29 % (2672232)Instruction limit reached!
% 23.25/4.29 % (2672232)------------------------------
% 23.25/4.29 % (2672232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672232)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672232)Termination reason: Instruction limit
% 23.25/4.29 % (2672232)Termination phase: Saturation
% 23.25/4.29 % (2672232)Time elapsed: 0.612 s
% 23.25/4.29 % (2672232)Peak memory usage: 98 MB
% 23.25/4.29 % (2672232)Instructions burned: 1188 (million)
% 23.25/4.29 % (2672285)Instruction limit reached!
% 23.25/4.29 % (2672285)------------------------------
% 23.25/4.29 % (2672285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672285)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672285)Termination reason: Instruction limit
% 23.25/4.29 % (2672285)Termination phase: Saturation
% 23.25/4.29 % (2672285)Time elapsed: 0.204 s
% 23.25/4.29 % (2672285)Peak memory usage: 94 MB
% 23.25/4.29 % (2672285)Instructions burned: 317 (million)
% 23.25/4.29 % (2672287)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=3427013065:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 23.25/4.29 % (2672288)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2479082518:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 23.25/4.29 % (2672279)Instruction limit reached!
% 23.25/4.29 % (2672279)------------------------------
% 23.25/4.29 % (2672279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672279)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672279)Termination reason: Instruction limit
% 23.25/4.29 % (2672279)Termination phase: Saturation
% 23.25/4.29 % (2672279)Time elapsed: 1.269 s
% 23.25/4.29 % (2672279)Peak memory usage: 141 MB
% 23.25/4.29 % (2672279)Instructions burned: 2052 (million)
% 23.25/4.29 % (2672291)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1333142389:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 23.25/4.29 % (2672288)Instruction limit reached!
% 23.25/4.29 % (2672288)------------------------------
% 23.25/4.29 % (2672288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672288)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672288)Termination reason: Instruction limit
% 23.25/4.29 % (2672288)Termination phase: Saturation
% 23.25/4.29 % (2672288)Time elapsed: 1.867 s
% 23.25/4.29 % (2672288)Peak memory usage: 142 MB
% 23.25/4.29 % (2672288)Instructions burned: 2836 (million)
% 23.25/4.29 % (2672280)Instruction limit reached!
% 23.25/4.29 % (2672280)------------------------------
% 23.25/4.29 % (2672280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.25/4.29 % (2672280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.25/4.29 % (2672280)CaDiCaL version: 2.1.3
% 23.25/4.29 % (2672280)Termination reason: Instruction limit
% 23.25/4.29 % (2672280)Termination phase: Saturation
% 23.25/4.29 % (2672280)Time elapsed: 2.605 s
% 23.25/4.29 % (2672280)Peak memory usage: 166 MB
% 23.25/4.29 % (2672280)Instructions burned: 4949 (million)
% 23.25/4.29 % (2672294)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=1198419435:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2971 on theBenchmark for (2971ds/11832Mi)
% 23.25/4.29 % (2672287)First to succeed.
% 23.25/4.29 % (2672287)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2672217"
% 23.25/4.29 % (2672295)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=1320763411:i=2279:fgj=on:bd=all_2970 on theBenchmark for (2970ds/2279Mi)
% 23.25/4.29 % (2672287)Refutation found. Thanks to Tanya!
% 23.25/4.29 % SZS status Unsatisfiable for theBenchmark
% 23.25/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 23.97/4.49 % (2672287)------------------------------
% 23.97/4.49 % (2672287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.97/4.49 % (2672287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.97/4.49 % (2672287)CaDiCaL version: 2.1.3
% 23.97/4.49 % (2672287)Termination reason: Refutation
% 23.97/4.49 % (2672287)Time elapsed: 2.130 s
% 23.97/4.49 % (2672287)Peak memory usage: 156 MB
% 23.97/4.49 % (2672287)Instructions burned: 3487 (million)
% 23.97/4.49 % (2672287)------------------------------
% 23.97/4.49 % (2672287)------------------------------
% 23.97/4.49 % (2672217)Success in time 3.29 s
% 23.97/4.49 % Vampire exiting
%------------------------------------------------------------------------------