%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT005-4 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:45:48 AM UTC 2026
% Result : Unsatisfiable 7.60s 2.20s
% Output : Refutation 10.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 113 ( 110 unt; 9 def)
% Number of atoms : 116 ( 115 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
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(f11,axiom,
! [X0] : join(X0,n0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_join_0) ).
fof(f15,axiom,
! [X2,X0,X1] :
( meet(X0,X1) != X0
| meet(X1,join(X0,X2)) = join(X0,meet(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',modular) ).
fof(f18,negated_conjecture,
meet(r2,meet(a,b)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r2_complement_meet_a_b_2) ).
fof(f19,plain,
n0 = meet(r2,meet(a,b)),
inference(reorient_equations,[],[f18]) ).
fof(f22,negated_conjecture,
meet(r1,join(a,b)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r1_complement_join_a_b_2) ).
fof(f23,plain,
n0 = meet(r1,join(a,b)),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
join(r1,meet(a,r2)) = b2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',define_b2) ).
fof(f25,negated_conjecture,
join(r1,meet(b,r2)) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',define_a2) ).
fof(f26,negated_conjecture,
meet(a2,b2) != r1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_SAMs_lemma) ).
fof(f27,plain,
r1 != meet(a2,b2),
inference(reorient_equations,[],[f26]) ).
fof(f28,definition,
sF0 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
meet(a,b) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f33,definition,
sF2 = meet(r2,sF0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
meet(r2,sF0) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
n0 = sF2,
inference(definition_folding,[],[f19,f34,f29]) ).
fof(f36,definition,
sF3 = join(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f37,plain,
join(a,b) = sF3,
inference(reorient_equations,[],[f36]) ).
fof(f41,definition,
sF5 = meet(r1,sF3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
meet(r1,sF3) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
n0 = sF5,
inference(definition_folding,[],[f23,f42,f37]) ).
fof(f44,definition,
sF6 = meet(a,r2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f45,plain,
meet(a,r2) = sF6,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF7 = join(r1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f47,plain,
join(r1,sF6) = sF7,
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
b2 = sF7,
inference(definition_folding,[],[f24,f47,f45]) ).
fof(f49,definition,
sF8 = meet(b,r2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f50,plain,
meet(b,r2) = sF8,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF9 = join(r1,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f52,plain,
join(r1,sF8) = sF9,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
a2 = sF9,
inference(definition_folding,[],[f25,f52,f50]) ).
fof(f54,definition,
sF10 = meet(a2,b2),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f55,plain,
meet(a2,b2) = sF10,
inference(reorient_equations,[],[f54]) ).
fof(f56,plain,
r1 != sF10,
inference(definition_folding,[],[f27,f55]) ).
fof(f58,plain,
n0 = meet(r2,sF0),
inference(forward_demodulation,[],[f34,f35]) ).
fof(f60,plain,
n0 = meet(r1,sF3),
inference(forward_demodulation,[],[f42,f43]) ).
fof(f61,plain,
b2 = join(r1,sF6),
inference(forward_demodulation,[],[f47,f48]) ).
fof(f62,plain,
a2 = join(r1,sF8),
inference(forward_demodulation,[],[f52,f53]) ).
fof(f64,plain,
r1 = meet(r1,a2),
inference(superposition,[],[f3,f62]) ).
fof(f72,plain,
a = meet(a,sF3),
inference(superposition,[],[f3,f37]) ).
fof(f94,plain,
sF6 = meet(r2,a),
inference(superposition,[],[f45,f5]) ).
fof(f95,plain,
sF8 = meet(r2,b),
inference(superposition,[],[f50,f5]) ).
fof(f97,plain,
sF10 = meet(b2,a2),
inference(superposition,[],[f55,f5]) ).
fof(f190,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f193,plain,
b2 = join(sF6,r1),
inference(superposition,[],[f61,f6]) ).
fof(f194,plain,
a2 = join(sF8,r1),
inference(superposition,[],[f62,f6]) ).
fof(f203,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f208,plain,
! [X0] : meet(a,meet(r2,X0)) = meet(sF6,X0),
inference(superposition,[],[f7,f45]) ).
fof(f212,plain,
! [X0] : meet(a2,meet(b2,X0)) = meet(sF10,X0),
inference(superposition,[],[f7,f55]) ).
fof(f220,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f236,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f190,f4]) ).
fof(f240,plain,
b = meet(b,sF3),
inference(superposition,[],[f190,f37]) ).
fof(f246,plain,
! [X2,X0,X1] :
( X0 != X0
| meet(join(X1,X0),join(X0,X2)) = join(X0,meet(X2,join(X1,X0))) ),
inference(superposition,[],[f15,f190]) ).
fof(f249,plain,
! [X2,X0,X1] : meet(join(X1,X0),join(X0,X2)) = join(X0,meet(X2,join(X1,X0))),
inference(trivial_inequality_removal,[],[f246]) ).
fof(f250,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f236,f7]) ).
fof(f253,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(superposition,[],[f249,f4]) ).
fof(f268,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,X1)) = X1,
inference(superposition,[],[f4,f249]) ).
fof(f273,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(forward_demodulation,[],[f268,f2]) ).
fof(f350,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f273,f4]) ).
fof(f358,plain,
sF6 = meet(b2,sF6),
inference(superposition,[],[f273,f61]) ).
fof(f389,plain,
! [X0] :
( r1 != r1
| meet(a2,join(r1,X0)) = join(r1,meet(X0,a2)) ),
inference(superposition,[],[f15,f64]) ).
fof(f391,plain,
! [X0] : meet(a2,join(r1,X0)) = join(r1,meet(X0,a2)),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f393,plain,
! [X0] : meet(sF6,X0) = meet(r2,meet(a,X0)),
inference(superposition,[],[f7,f94]) ).
fof(f405,plain,
! [X0] : meet(sF8,X0) = meet(r2,meet(b,X0)),
inference(superposition,[],[f7,f95]) ).
fof(f555,plain,
sF8 = meet(r2,sF8),
inference(superposition,[],[f350,f95]) ).
fof(f564,plain,
sF10 = meet(a2,sF10),
inference(superposition,[],[f350,f55]) ).
fof(f657,plain,
! [X0] : meet(sF6,X0) = meet(sF6,meet(b2,X0)),
inference(superposition,[],[f203,f193]) ).
fof(f1072,plain,
meet(r2,sF0) = meet(sF6,b),
inference(superposition,[],[f393,f29]) ).
fof(f1099,plain,
n0 = meet(sF6,b),
inference(forward_demodulation,[],[f1072,f58]) ).
fof(f1123,plain,
meet(r2,b) = meet(sF8,sF3),
inference(superposition,[],[f405,f240]) ).
fof(f1150,plain,
sF8 = meet(sF8,sF3),
inference(forward_demodulation,[],[f1123,f95]) ).
fof(f1154,plain,
meet(r2,a) = meet(sF6,sF3),
inference(superposition,[],[f393,f72]) ).
fof(f1163,plain,
sF6 = meet(sF6,sF3),
inference(forward_demodulation,[],[f1154,f94]) ).
fof(f1263,plain,
meet(sF6,b) = meet(a,sF8),
inference(superposition,[],[f208,f95]) ).
fof(f1266,plain,
meet(a,sF8) = meet(sF6,sF8),
inference(superposition,[],[f208,f555]) ).
fof(f1295,plain,
meet(sF6,b) = meet(sF6,sF8),
inference(forward_demodulation,[],[f1263,f1266]) ).
fof(f1297,plain,
n0 = meet(sF6,sF8),
inference(forward_demodulation,[],[f1295,f1099]) ).
fof(f2329,plain,
! [X0] : meet(sF3,join(meet(sF3,X0),r1)) = join(meet(sF3,X0),n0),
inference(superposition,[],[f253,f60]) ).
fof(f2383,plain,
! [X0] : meet(sF3,X0) = meet(sF3,join(meet(sF3,X0),r1)),
inference(forward_demodulation,[],[f2329,f11]) ).
fof(f4840,plain,
sF8 = meet(sF3,sF8),
inference(superposition,[],[f5,f1150]) ).
fof(f5808,plain,
meet(sF10,sF10) = meet(sF10,a2),
inference(superposition,[],[f250,f564]) ).
fof(f5817,plain,
sF10 = meet(sF10,a2),
inference(forward_demodulation,[],[f5808,f1]) ).
fof(f5829,plain,
! [X0] : meet(X0,sF10) = meet(sF10,meet(a2,X0)),
inference(superposition,[],[f220,f5817]) ).
fof(f6408,plain,
sF6 = meet(sF3,sF6),
inference(superposition,[],[f5,f1163]) ).
fof(f6732,plain,
sF6 = meet(sF3,join(sF6,r1)),
inference(superposition,[],[f2383,f6408]) ).
fof(f6760,plain,
sF6 = meet(sF3,b2),
inference(forward_demodulation,[],[f6732,f193]) ).
fof(f6770,plain,
meet(b2,sF6) = meet(b2,sF3),
inference(superposition,[],[f250,f6760]) ).
fof(f6779,plain,
sF6 = meet(b2,sF3),
inference(forward_demodulation,[],[f6770,f358]) ).
fof(f6811,plain,
sF8 = meet(sF3,join(sF8,r1)),
inference(superposition,[],[f2383,f4840]) ).
fof(f6839,plain,
sF8 = meet(sF3,a2),
inference(forward_demodulation,[],[f6811,f194]) ).
fof(f6848,plain,
! [X0] : meet(X0,sF8) = meet(sF3,meet(a2,X0)),
inference(superposition,[],[f220,f6839]) ).
fof(f8681,plain,
meet(sF6,a2) = meet(sF6,sF10),
inference(superposition,[],[f657,f97]) ).
fof(f9975,plain,
meet(a2,sF6) = meet(sF10,sF3),
inference(superposition,[],[f212,f6779]) ).
fof(f10093,plain,
meet(a2,sF6) = meet(sF3,sF10),
inference(superposition,[],[f5,f9975]) ).
fof(f10101,plain,
meet(sF3,sF10) = meet(sF3,meet(a2,sF6)),
inference(superposition,[],[f250,f9975]) ).
fof(f10106,plain,
meet(a2,sF6) = meet(sF10,meet(a2,sF6)),
inference(superposition,[],[f350,f9975]) ).
fof(f10110,plain,
meet(sF6,sF10) = meet(a2,sF6),
inference(forward_demodulation,[],[f10106,f5829]) ).
fof(f10111,plain,
meet(sF6,sF8) = meet(sF3,sF10),
inference(forward_demodulation,[],[f10101,f6848]) ).
fof(f10123,plain,
meet(sF6,sF10) = meet(sF3,sF10),
inference(forward_demodulation,[],[f10110,f10093]) ).
fof(f10124,plain,
n0 = meet(sF3,sF10),
inference(forward_demodulation,[],[f10111,f1297]) ).
fof(f10125,plain,
meet(sF6,a2) = meet(sF3,sF10),
inference(forward_demodulation,[],[f10123,f8681]) ).
fof(f10126,plain,
n0 = meet(sF6,a2),
inference(forward_demodulation,[],[f10125,f10124]) ).
fof(f10130,plain,
join(r1,n0) = meet(a2,join(r1,sF6)),
inference(superposition,[],[f391,f10126]) ).
fof(f10156,plain,
meet(a2,b2) = join(r1,n0),
inference(forward_demodulation,[],[f10130,f61]) ).
fof(f10160,plain,
r1 = meet(a2,b2),
inference(forward_demodulation,[],[f10156,f11]) ).
fof(f10161,plain,
r1 = sF10,
inference(forward_demodulation,[],[f10160,f55]) ).
fof(f10162,plain,
$false,
inference(forward_subsumption_resolution,[],[f10161,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT005-4 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:57:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.21/2.17 % (543579)Input is clausal, will run a generic CNF schedule.
% 9.21/2.17 % (543584)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3758952644:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.21/2.17 % (543585)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3939372232:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.21/2.17 % (543589)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3777283916:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.21/2.17 % (543587)lrs+10_1_sil=8000:sp=occurrence:random_seed=2378866959:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.21/2.17 % (543586)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1240711068:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.21/2.17 % (543588)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2681410467:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.21/2.17 % (543590)dis-21_1_sil=8000:lcm=predicate:random_seed=2743045105:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.21/2.17 % (543590)Refutation not found, incomplete strategy
% 9.21/2.17 % (543590)------------------------------
% 9.21/2.17 % (543590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/2.17 % (543590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.17 % (543590)CaDiCaL version: 2.1.3
% 9.21/2.17 % (543590)Termination reason: Refutation not found, incomplete strategy
% 9.21/2.17 % (543590)Time elapsed: 0.001 s
% 9.21/2.17 % (543590)Peak memory usage: 88 MB
% 9.21/2.17 % (543590)Instructions burned: 1 (million)
% 9.21/2.17 % (543587)Instruction limit reached!
% 9.21/2.17 % (543587)------------------------------
% 9.21/2.17 % (543587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/2.17 % (543587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.17 % (543587)CaDiCaL version: 2.1.3
% 9.21/2.17 % (543587)Termination reason: Instruction limit
% 9.21/2.17 % (543587)Termination phase: Saturation
% 9.21/2.17 % (543587)Time elapsed: 0.063 s
% 9.21/2.17 % (543587)Peak memory usage: 89 MB
% 9.21/2.17 % (543587)Instructions burned: 108 (million)
% 9.21/2.17 % (543588)Instruction limit reached!
% 9.21/2.17 % (543588)------------------------------
% 9.21/2.17 % (543588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/2.17 % (543588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.17 % (543588)CaDiCaL version: 2.1.3
% 9.21/2.17 % (543588)Termination reason: Instruction limit
% 9.21/2.17 % (543588)Termination phase: Saturation
% 9.21/2.17 % (543588)Time elapsed: 0.073 s
% 9.21/2.17 % (543588)Peak memory usage: 89 MB
% 9.21/2.17 % (543588)Instructions burned: 114 (million)
% 9.21/2.17 % (543589)Instruction limit reached!
% 9.21/2.17 % (543589)------------------------------
% 9.21/2.17 % (543589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.21/2.17 % (543589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.21/2.17 % (543589)CaDiCaL version: 2.1.3
% 9.21/2.17 % (543589)Termination reason: Instruction limit
% 9.21/2.17 % (543589)Termination phase: Saturation
% 9.21/2.17 % (543589)Time elapsed: 0.101 s
% 9.21/2.17 % (543589)Peak memory usage: 90 MB
% 9.21/2.17 % (543589)Instructions burned: 182 (million)
% 9.21/2.17 % (543598)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=567201310:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.21/2.17 % (543599)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2229180812:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 9.21/2.17 % (543600)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1376395422:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 9.21/2.17 % (543590)------------------------------
% 9.21/2.17 % (543590)------------------------------
% 9.21/2.17 % (543598)Instruction limit reached!
% 9.21/2.17 % (543598)------------------------------
% 9.21/2.17 % (543598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543598)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543598)Termination reason: Instruction limit
% 7.60/2.20 % (543598)Termination phase: Saturation
% 7.60/2.20 % (543598)Time elapsed: 0.083 s
% 7.60/2.20 % (543598)Peak memory usage: 89 MB
% 7.60/2.20 % (543598)Instructions burned: 144 (million)
% 7.60/2.20 % (543599)Instruction limit reached!
% 7.60/2.20 % (543599)------------------------------
% 7.60/2.20 % (543599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543599)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543599)Termination reason: Instruction limit
% 7.60/2.20 % (543599)Termination phase: Saturation
% 7.60/2.20 % (543599)Time elapsed: 0.116 s
% 7.60/2.20 % (543599)Peak memory usage: 90 MB
% 7.60/2.20 % (543599)Instructions burned: 190 (million)
% 7.60/2.20 % (543604)lrs+10_64_to=lpo:sil=8000:random_seed=1017225183:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 7.60/2.20 % (543600)Instruction limit reached!
% 7.60/2.20 % (543600)------------------------------
% 7.60/2.20 % (543600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543600)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543600)Termination reason: Instruction limit
% 7.60/2.20 % (543600)Termination phase: Saturation
% 7.60/2.20 % (543600)Time elapsed: 0.128 s
% 7.60/2.20 % (543600)Peak memory usage: 90 MB
% 7.60/2.20 % (543600)Instructions burned: 220 (million)
% 7.60/2.20 % (543604)Instruction limit reached!
% 7.60/2.20 % (543604)------------------------------
% 7.60/2.20 % (543604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543604)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543604)Termination reason: Instruction limit
% 7.60/2.20 % (543604)Termination phase: Saturation
% 7.60/2.20 % (543604)Time elapsed: 0.038 s
% 7.60/2.20 % (543604)Peak memory usage: 88 MB
% 7.60/2.20 % (543604)Instructions burned: 127 (million)
% 7.60/2.20 % (543605)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4007584201:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.60/2.20 % (543606)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=654849991:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.60/2.20 % (543609)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3921227105:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.60/2.20 % (543608)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3979258610:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.60/2.20 % (543609)Instruction limit reached!
% 7.60/2.20 % (543609)------------------------------
% 7.60/2.20 % (543609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543609)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543609)Termination reason: Instruction limit
% 7.60/2.20 % (543609)Termination phase: Saturation
% 7.60/2.20 % (543609)Time elapsed: 0.034 s
% 7.60/2.20 % (543609)Peak memory usage: 89 MB
% 7.60/2.20 % (543609)Instructions burned: 109 (million)
% 7.60/2.20 % (543605)Instruction limit reached!
% 7.60/2.20 % (543605)------------------------------
% 7.60/2.20 % (543605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543605)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543605)Termination reason: Instruction limit
% 7.60/2.20 % (543605)Termination phase: Saturation
% 7.60/2.20 % (543605)Time elapsed: 0.117 s
% 7.60/2.20 % (543605)Peak memory usage: 90 MB
% 7.60/2.20 % (543605)Instructions burned: 194 (million)
% 7.60/2.20 % (543606)Instruction limit reached!
% 7.60/2.20 % (543606)------------------------------
% 7.60/2.20 % (543606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543606)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543606)Termination reason: Instruction limit
% 7.60/2.20 % (543606)Termination phase: Saturation
% 7.60/2.20 % (543606)Time elapsed: 0.095 s
% 7.60/2.20 % (543606)Peak memory usage: 90 MB
% 7.60/2.20 % (543606)Instructions burned: 157 (million)
% 7.60/2.20 % (543614)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=980370698:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 7.60/2.20 % (543614)Instruction limit reached!
% 7.60/2.20 % (543614)------------------------------
% 7.60/2.20 % (543614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543614)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543614)Termination reason: Instruction limit
% 7.60/2.20 % (543614)Termination phase: Saturation
% 7.60/2.20 % (543614)Time elapsed: 0.035 s
% 7.60/2.20 % (543614)Peak memory usage: 88 MB
% 7.60/2.20 % (543614)Instructions burned: 110 (million)
% 7.60/2.20 % (543615)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=4291307068:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.60/2.20 % (543616)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=654660514:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.60/2.20 % (543618)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2082193654:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.60/2.20 % (543618)Instruction limit reached!
% 7.60/2.20 % (543618)------------------------------
% 7.60/2.20 % (543618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543618)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543618)Termination reason: Instruction limit
% 7.60/2.20 % (543618)Termination phase: Saturation
% 7.60/2.20 % (543618)Time elapsed: 0.041 s
% 7.60/2.20 % (543618)Peak memory usage: 89 MB
% 7.60/2.20 % (543618)Instructions burned: 134 (million)
% 7.60/2.20 % (543615)Instruction limit reached!
% 7.60/2.20 % (543615)------------------------------
% 7.60/2.20 % (543615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543615)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543615)Termination reason: Instruction limit
% 7.60/2.20 % (543615)Termination phase: Saturation
% 7.60/2.20 % (543615)Time elapsed: 0.139 s
% 7.60/2.20 % (543615)Peak memory usage: 90 MB
% 7.60/2.20 % (543615)Instructions burned: 242 (million)
% 7.60/2.20 % (543622)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3335374684:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 7.60/2.20 % (543623)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=557523241:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.60/2.20 % (543584)First to succeed.
% 7.60/2.20 % (543584)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-543579"
% 7.60/2.20 % (543622)Instruction limit reached!
% 7.60/2.20 % (543622)------------------------------
% 7.60/2.20 % (543622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543622)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543622)Termination reason: Instruction limit
% 7.60/2.20 % (543622)Termination phase: Saturation
% 7.60/2.20 % (543622)Time elapsed: 0.163 s
% 7.60/2.20 % (543622)Peak memory usage: 94 MB
% 7.60/2.20 % (543622)Instructions burned: 501 (million)
% 7.60/2.20 % (543623)Instruction limit reached!
% 7.60/2.20 % (543623)------------------------------
% 7.60/2.20 % (543623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543623)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543623)Termination reason: Instruction limit
% 7.60/2.20 % (543623)Termination phase: Saturation
% 7.60/2.20 % (543623)Time elapsed: 0.127 s
% 7.60/2.20 % (543623)Peak memory usage: 92 MB
% 7.60/2.20 % (543623)Instructions burned: 192 (million)
% 7.60/2.20 % (543626)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3575182118:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 7.60/2.20 % (543627)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=489344545:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 7.60/2.20 % (543626)Instruction limit reached!
% 7.60/2.20 % (543626)------------------------------
% 7.60/2.20 % (543626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.60/2.20 % (543626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.60/2.20 % (543626)CaDiCaL version: 2.1.3
% 7.60/2.20 % (543626)Termination reason: Instruction limit
% 7.60/2.20 % (543626)Termination phase: Saturation
% 7.60/2.20 % (543626)Time elapsed: 0.089 s
% 7.60/2.20 % (543626)Peak memory usage: 92 MB
% 7.60/2.20 % (543626)Instructions burned: 267 (million)
% 7.60/2.20 % (543584)Refutation found. Thanks to Tanya!
% 7.60/2.20 % SZS status Unsatisfiable for theBenchmark
% 7.60/2.20 % SZS output start Proof for theBenchmark
% See solution above
% 10.12/2.40 % (543584)------------------------------
% 10.12/2.40 % (543584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.12/2.40 % (543584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.12/2.40 % (543584)CaDiCaL version: 2.1.3
% 10.12/2.40 % (543584)Termination reason: Refutation
% 10.12/2.40 % (543584)Time elapsed: 0.974 s
% 10.12/2.40 % (543584)Peak memory usage: 137 MB
% 10.12/2.40 % (543584)Instructions burned: 1834 (million)
% 10.12/2.40 % (543584)------------------------------
% 10.12/2.40 % (543584)------------------------------
% 10.12/2.40 % (543579)Success in time 1.346 s
% 10.12/2.40 % Vampire exiting
%------------------------------------------------------------------------------