%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : FLD068-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:49:19 AM UTC 2026
% Result : Unsatisfiable 15.62s 2.69s
% Output : Refutation 16.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 19
% Syntax : Number of formulae : 62 ( 17 unt; 2 def)
% Number of atoms : 168 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 214 ( 108 ~; 106 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2))
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_addition) ).
fof(f2,axiom,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f3,axiom,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f4,axiom,
! [X0,X1] :
( equalish(add(X0,X1),add(X1,X0))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f10,axiom,
! [X0,X1] :
( defined(add(X0,X1))
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_addition) ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f12,axiom,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_definedness_of_additive_inverse) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f18,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f19,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ less_or_equal(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f22,axiom,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_equality) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_equality) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1)
| ~ equalish(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatibility_of_equality_and_order_relation) ).
fof(f28,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f30,negated_conjecture,
less_or_equal(additive_identity,add(b,additive_inverse(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_3) ).
fof(f31,negated_conjecture,
~ less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_less_or_equal_4) ).
fof(f32,definition,
sF0 = additive_inverse(a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f33,plain,
additive_inverse(a) = sF0,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF1 = add(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f35,plain,
add(b,sF0) = sF1,
inference(reorient_equations,[],[f34]) ).
fof(f36,plain,
less_or_equal(additive_identity,sF1),
inference(definition_folding,[],[f30,f35,f33]) ).
fof(f37,plain,
( defined(sF0)
| ~ defined(a) ),
inference(superposition,[],[f12,f33]) ).
fof(f38,plain,
defined(sF0),
inference(forward_subsumption_resolution,[],[f37,f28]) ).
fof(f43,plain,
( equalish(add(a,sF0),additive_identity)
| ~ defined(a) ),
inference(superposition,[],[f3,f33]) ).
fof(f44,plain,
equalish(add(a,sF0),additive_identity),
inference(forward_subsumption_resolution,[],[f43,f28]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ equalish(add(X3,X2),X0)
| less_or_equal(X0,add(X1,X2))
| ~ defined(X2)
| ~ less_or_equal(X3,X1) ),
inference(resolution,[],[f26,f19]) ).
fof(f49,plain,
! [X0] :
( equalish(X0,add(additive_identity,X0))
| ~ defined(X0) ),
inference(resolution,[],[f22,f2]) ).
fof(f74,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0)
| ~ defined(X0) ),
inference(factoring,[],[f18]) ).
fof(f75,plain,
! [X0] :
( less_or_equal(X0,X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f78,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0) ),
inference(resolution,[],[f75,f26]) ).
fof(f95,plain,
! [X0,X1] :
( less_or_equal(X0,add(X1,X0))
| ~ defined(X0)
| ~ less_or_equal(additive_identity,X1)
| ~ defined(X0) ),
inference(resolution,[],[f46,f2]) ).
fof(f103,plain,
! [X0,X1] :
( less_or_equal(X0,add(X1,X0))
| ~ defined(X0)
| ~ less_or_equal(additive_identity,X1) ),
inference(duplicate_literal_removal,[],[f95]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| equalish(X0,add(X2,X1))
| ~ defined(X1)
| ~ defined(X2) ),
inference(resolution,[],[f23,f4]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,add(X2,X3)))
| equalish(X0,add(add(X1,X2),X3))
| ~ defined(X1)
| ~ defined(X2)
| ~ defined(X3) ),
inference(resolution,[],[f23,f1]) ).
fof(f191,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(resolution,[],[f49,f78]) ).
fof(f194,plain,
! [X0] :
( less_or_equal(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f199,plain,
! [X0,X1] :
( ~ less_or_equal(X1,add(additive_identity,X0))
| ~ defined(X0)
| less_or_equal(X1,X0) ),
inference(resolution,[],[f194,f17]) ).
fof(f202,plain,
! [X0,X1] :
( ~ defined(X0)
| less_or_equal(add(X1,X0),X0)
| ~ defined(X0)
| ~ less_or_equal(X1,additive_identity) ),
inference(resolution,[],[f199,f19]) ).
fof(f213,plain,
! [X0,X1] :
( less_or_equal(add(X1,X0),X0)
| ~ defined(X0)
| ~ less_or_equal(X1,additive_identity) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ equalish(add(X1,X0),X2)
| ~ less_or_equal(X1,additive_identity)
| less_or_equal(X2,X0)
| ~ defined(X0) ),
inference(resolution,[],[f213,f26]) ).
fof(f251,plain,
equalish(additive_identity,add(a,sF0)),
inference(resolution,[],[f44,f22]) ).
fof(f337,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(add(X0,X1))
| ~ defined(X2) ),
inference(resolution,[],[f116,f4]) ).
fof(f344,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ defined(add(X0,X1)) ),
inference(duplicate_literal_removal,[],[f337]) ).
fof(f348,plain,
! [X2,X0,X1] :
( equalish(add(add(X0,X1),X2),add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(forward_subsumption_resolution,[],[f344,f10]) ).
fof(f513,plain,
! [X2,X0,X1] :
( ~ less_or_equal(add(X0,X1),additive_identity)
| less_or_equal(add(add(X2,X0),X1),X2)
| ~ defined(X2)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(resolution,[],[f234,f348]) ).
fof(f521,plain,
! [X2,X0,X1] :
( less_or_equal(add(add(X2,X0),X1),X2)
| ~ less_or_equal(add(X0,X1),additive_identity)
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1) ),
inference(duplicate_literal_removal,[],[f513]) ).
fof(f789,plain,
! [X2,X3,X0,X1] :
( ~ less_or_equal(X3,add(add(X2,X0),X1))
| ~ defined(X2)
| ~ defined(X0)
| ~ defined(X1)
| ~ less_or_equal(add(X0,X1),additive_identity)
| less_or_equal(X3,X2) ),
inference(resolution,[],[f521,f17]) ).
fof(f850,plain,
! [X0,X1] :
( ~ less_or_equal(X0,add(sF1,X1))
| ~ defined(b)
| ~ defined(sF0)
| ~ defined(X1)
| ~ less_or_equal(add(sF0,X1),additive_identity)
| less_or_equal(X0,b) ),
inference(superposition,[],[f789,f35]) ).
fof(f857,plain,
! [X0,X1] :
( ~ less_or_equal(X0,add(sF1,X1))
| ~ defined(sF0)
| ~ defined(X1)
| ~ less_or_equal(add(sF0,X1),additive_identity)
| less_or_equal(X0,b) ),
inference(forward_subsumption_resolution,[],[f850,f29]) ).
fof(f860,plain,
! [X0,X1] :
( ~ less_or_equal(add(sF0,X1),additive_identity)
| ~ defined(X1)
| ~ less_or_equal(X0,add(sF1,X1))
| less_or_equal(X0,b) ),
inference(forward_subsumption_resolution,[],[f857,f38]) ).
fof(f1257,plain,
( equalish(additive_identity,add(sF0,a))
| ~ defined(a)
| ~ defined(sF0) ),
inference(resolution,[],[f251,f114]) ).
fof(f1267,plain,
( equalish(additive_identity,add(sF0,a))
| ~ defined(sF0) ),
inference(forward_subsumption_resolution,[],[f1257,f28]) ).
fof(f1268,plain,
equalish(additive_identity,add(sF0,a)),
inference(forward_subsumption_resolution,[],[f1267,f38]) ).
fof(f2423,plain,
( less_or_equal(add(sF0,a),additive_identity)
| ~ defined(additive_identity) ),
inference(resolution,[],[f1268,f78]) ).
fof(f2425,plain,
less_or_equal(add(sF0,a),additive_identity),
inference(forward_subsumption_resolution,[],[f2423,f11]) ).
fof(f3523,plain,
! [X0] :
( ~ defined(a)
| ~ less_or_equal(X0,add(sF1,a))
| less_or_equal(X0,b) ),
inference(resolution,[],[f2425,f860]) ).
fof(f3542,plain,
! [X0] :
( ~ less_or_equal(X0,add(sF1,a))
| less_or_equal(X0,b) ),
inference(forward_subsumption_resolution,[],[f3523,f28]) ).
fof(f3549,plain,
( less_or_equal(a,b)
| ~ defined(a)
| ~ less_or_equal(additive_identity,sF1) ),
inference(resolution,[],[f3542,f103]) ).
fof(f3590,plain,
( ~ defined(a)
| ~ less_or_equal(additive_identity,sF1) ),
inference(forward_subsumption_resolution,[],[f3549,f31]) ).
fof(f3600,plain,
~ less_or_equal(additive_identity,sF1),
inference(forward_subsumption_resolution,[],[f3590,f28]) ).
fof(f3602,plain,
$false,
inference(forward_subsumption_resolution,[],[f3600,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : FLD068-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 00:48:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 6.24/1.26 % (3954382)Input is clausal, will run a generic CNF schedule.
% 6.24/1.26 % (3954392)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2379809430:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.24/1.26 % (3954390)lrs+10_1_sil=8000:sp=occurrence:random_seed=3448337715:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.24/1.26 % (3954389)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3439141534:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.24/1.26 % (3954393)dis-21_1_sil=8000:lcm=predicate:random_seed=2307869482: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)
% 6.24/1.26 % (3954387)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=2782228420:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.24/1.26 % (3954388)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3444020743:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.24/1.26 % (3954391)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3310500816:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.24/1.26 % (3954393)Instruction limit reached!
% 6.24/1.26 % (3954393)------------------------------
% 6.24/1.26 % (3954393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.26 % (3954393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.26 % (3954393)CaDiCaL version: 2.1.3
% 6.24/1.26 % (3954393)Termination reason: Instruction limit
% 6.24/1.26 % (3954393)Termination phase: Saturation
% 6.24/1.26 % (3954393)Time elapsed: 0.034 s
% 6.24/1.26 % (3954393)Peak memory usage: 89 MB
% 6.24/1.26 % (3954393)Instructions burned: 117 (million)
% 6.24/1.26 % (3954391)Instruction limit reached!
% 6.24/1.26 % (3954391)------------------------------
% 6.24/1.26 % (3954391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.26 % (3954391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.26 % (3954391)CaDiCaL version: 2.1.3
% 6.24/1.26 % (3954391)Termination reason: Instruction limit
% 6.24/1.26 % (3954391)Termination phase: Saturation
% 6.24/1.26 % (3954391)Time elapsed: 0.036 s
% 6.24/1.26 % (3954391)Peak memory usage: 88 MB
% 6.24/1.26 % (3954391)Instructions burned: 115 (million)
% 6.24/1.26 % (3954390)Instruction limit reached!
% 6.24/1.26 % (3954390)------------------------------
% 6.24/1.26 % (3954390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.26 % (3954390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.26 % (3954390)CaDiCaL version: 2.1.3
% 6.24/1.26 % (3954390)Termination reason: Instruction limit
% 6.24/1.26 % (3954390)Termination phase: Saturation
% 6.24/1.26 % (3954390)Time elapsed: 0.037 s
% 6.24/1.26 % (3954390)Peak memory usage: 89 MB
% 6.24/1.26 % (3954390)Instructions burned: 107 (million)
% 6.24/1.26 % (3954392)Instruction limit reached!
% 6.24/1.26 % (3954392)------------------------------
% 6.24/1.26 % (3954392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.24/1.26 % (3954392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.26 % (3954392)CaDiCaL version: 2.1.3
% 6.24/1.26 % (3954392)Termination reason: Instruction limit
% 6.24/1.26 % (3954392)Termination phase: Saturation
% 6.24/1.26 % (3954392)Time elapsed: 0.064 s
% 6.24/1.26 % (3954392)Peak memory usage: 89 MB
% 6.24/1.26 % (3954392)Instructions burned: 181 (million)
% 6.24/1.26 % (3954402)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=307774491:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 6.24/1.26 % (3954401)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=125523772:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.24/1.26 % (3954403)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1179160373:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 6.24/1.26 % (3954404)lrs+10_64_to=lpo:sil=8000:random_seed=1871580534:i=126:bd=preordered_2998 on theBenchmark for (2998ds/126Mi)
% 6.24/1.26 % (3954401)Instruction limit reached!
% 12.03/2.11 % (3954401)------------------------------
% 12.03/2.11 % (3954401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954401)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954401)Termination reason: Instruction limit
% 12.03/2.11 % (3954401)Termination phase: Saturation
% 12.03/2.11 % (3954401)Time elapsed: 0.041 s
% 12.03/2.11 % (3954401)Peak memory usage: 89 MB
% 12.03/2.11 % (3954401)Instructions burned: 145 (million)
% 12.03/2.11 % (3954402)Instruction limit reached!
% 12.03/2.11 % (3954402)------------------------------
% 12.03/2.11 % (3954402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954402)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954402)Termination reason: Instruction limit
% 12.03/2.11 % (3954402)Termination phase: Saturation
% 12.03/2.11 % (3954402)Time elapsed: 0.052 s
% 12.03/2.11 % (3954402)Peak memory usage: 94 MB
% 12.03/2.11 % (3954402)Instructions burned: 190 (million)
% 12.03/2.11 % (3954404)Instruction limit reached!
% 12.03/2.11 % (3954404)------------------------------
% 12.03/2.11 % (3954404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954404)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954404)Termination reason: Instruction limit
% 12.03/2.11 % (3954404)Termination phase: Saturation
% 12.03/2.11 % (3954404)Time elapsed: 0.025 s
% 12.03/2.11 % (3954404)Peak memory usage: 87 MB
% 12.03/2.11 % (3954404)Instructions burned: 128 (million)
% 12.03/2.11 % (3954403)Instruction limit reached!
% 12.03/2.11 % (3954403)------------------------------
% 12.03/2.11 % (3954403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954403)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954403)Termination reason: Instruction limit
% 12.03/2.11 % (3954403)Termination phase: Saturation
% 12.03/2.11 % (3954403)Time elapsed: 0.072 s
% 12.03/2.11 % (3954403)Peak memory usage: 89 MB
% 12.03/2.11 % (3954403)Instructions burned: 221 (million)
% 12.03/2.11 % (3954409)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2089248937:avsq=on:i=194:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/194Mi)
% 12.03/2.11 % (3954411)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2763961285:i=3394:sd=4:ss=included:sgt=64_2997 on theBenchmark for (2997ds/3394Mi)
% 12.03/2.11 % (3954410)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1265182806:i=157:gtg=all_2997 on theBenchmark for (2997ds/157Mi)
% 12.03/2.11 % (3954412)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=1116033439:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2996 on theBenchmark for (2996ds/106Mi)
% 12.03/2.11 % (3954409)Instruction limit reached!
% 12.03/2.11 % (3954409)------------------------------
% 12.03/2.11 % (3954409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954409)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954409)Termination reason: Instruction limit
% 12.03/2.11 % (3954409)Termination phase: Saturation
% 12.03/2.11 % (3954409)Time elapsed: 0.072 s
% 12.03/2.11 % (3954409)Peak memory usage: 89 MB
% 12.03/2.11 % (3954409)Instructions burned: 196 (million)
% 12.03/2.11 % (3954412)Instruction limit reached!
% 12.03/2.11 % (3954412)------------------------------
% 12.03/2.11 % (3954412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954412)CaDiCaL version: 2.1.3
% 12.03/2.11 % (3954412)Termination reason: Instruction limit
% 12.03/2.11 % (3954412)Termination phase: Saturation
% 12.03/2.11 % (3954412)Time elapsed: 0.028 s
% 12.03/2.11 % (3954412)Peak memory usage: 89 MB
% 12.03/2.11 % (3954412)Instructions burned: 106 (million)
% 12.03/2.11 % (3954410)Instruction limit reached!
% 12.03/2.11 % (3954410)------------------------------
% 12.03/2.11 % (3954410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.03/2.11 % (3954410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.03/2.11 % (3954410)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954410)Termination reason: Instruction limit
% 15.62/2.69 % (3954410)Termination phase: Saturation
% 15.62/2.69 % (3954410)Time elapsed: 0.062 s
% 15.62/2.69 % (3954410)Peak memory usage: 91 MB
% 15.62/2.69 % (3954410)Instructions burned: 158 (million)
% 15.62/2.69 % (3954417)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3815454447:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 15.62/2.69 % (3954418)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1524635183:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2995 on theBenchmark for (2995ds/242Mi)
% 15.62/2.69 % (3954419)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1249514640:cond=fast:i=5208:av=off_2995 on theBenchmark for (2995ds/5208Mi)
% 15.62/2.69 % (3954417)Instruction limit reached!
% 15.62/2.69 % (3954417)------------------------------
% 15.62/2.69 % (3954417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954417)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954417)Termination reason: Instruction limit
% 15.62/2.69 % (3954417)Termination phase: Saturation
% 15.62/2.69 % (3954417)Time elapsed: 0.030 s
% 15.62/2.69 % (3954417)Peak memory usage: 87 MB
% 15.62/2.69 % (3954417)Instructions burned: 107 (million)
% 15.62/2.69 % (3954418)Instruction limit reached!
% 15.62/2.69 % (3954418)------------------------------
% 15.62/2.69 % (3954418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954418)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954418)Termination reason: Instruction limit
% 15.62/2.69 % (3954418)Termination phase: Saturation
% 15.62/2.69 % (3954418)Time elapsed: 0.094 s
% 15.62/2.69 % (3954418)Peak memory usage: 90 MB
% 15.62/2.69 % (3954418)Instructions burned: 244 (million)
% 15.62/2.69 % (3954423)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3452902816:i=134:sd=2:doe=on:ss=axioms:sgt=14_2994 on theBenchmark for (2994ds/134Mi)
% 15.62/2.69 % (3954423)Instruction limit reached!
% 15.62/2.69 % (3954423)------------------------------
% 15.62/2.69 % (3954423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954423)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954423)Termination reason: Instruction limit
% 15.62/2.69 % (3954423)Termination phase: Saturation
% 15.62/2.69 % (3954423)Time elapsed: 0.053 s
% 15.62/2.69 % (3954423)Peak memory usage: 89 MB
% 15.62/2.69 % (3954423)Instructions burned: 135 (million)
% 15.62/2.69 % (3954424)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1495262671:i=499:bd=all_2993 on theBenchmark for (2993ds/499Mi)
% 15.62/2.69 % (3954426)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3920542876:i=191:fgj=on:bd=all_2993 on theBenchmark for (2993ds/191Mi)
% 15.62/2.69 % (3954426)Instruction limit reached!
% 15.62/2.69 % (3954426)------------------------------
% 15.62/2.69 % (3954426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954426)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954426)Termination reason: Instruction limit
% 15.62/2.69 % (3954426)Termination phase: Saturation
% 15.62/2.69 % (3954426)Time elapsed: 0.065 s
% 15.62/2.69 % (3954426)Peak memory usage: 90 MB
% 15.62/2.69 % (3954426)Instructions burned: 193 (million)
% 15.62/2.69 % (3954424)Instruction limit reached!
% 15.62/2.69 % (3954424)------------------------------
% 15.62/2.69 % (3954424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954424)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954424)Termination reason: Instruction limit
% 15.62/2.69 % (3954424)Termination phase: Saturation
% 15.62/2.69 % (3954424)Time elapsed: 0.139 s
% 15.62/2.69 % (3954424)Peak memory usage: 105 MB
% 15.62/2.69 % (3954424)Instructions burned: 500 (million)
% 15.62/2.69 % (3954430)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=828455245:cond=on:i=156:bs=on:gtg=exists_all:er=known_2991 on theBenchmark for (2991ds/156Mi)
% 15.62/2.69 % (3954429)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=756802215:i=264:kws=precedence:fsr=off_2991 on theBenchmark for (2991ds/264Mi)
% 15.62/2.69 % (3954430)Instruction limit reached!
% 15.62/2.69 % (3954430)------------------------------
% 15.62/2.69 % (3954430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954430)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954430)Termination reason: Instruction limit
% 15.62/2.69 % (3954430)Termination phase: Saturation
% 15.62/2.69 % (3954430)Time elapsed: 0.034 s
% 15.62/2.69 % (3954430)Peak memory usage: 88 MB
% 15.62/2.69 % (3954430)Instructions burned: 158 (million)
% 15.62/2.69 % (3954429)Instruction limit reached!
% 15.62/2.69 % (3954429)------------------------------
% 15.62/2.69 % (3954429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954429)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954429)Termination reason: Instruction limit
% 15.62/2.69 % (3954429)Termination phase: Saturation
% 15.62/2.69 % (3954429)Time elapsed: 0.088 s
% 15.62/2.69 % (3954429)Peak memory usage: 89 MB
% 15.62/2.69 % (3954429)Instructions burned: 264 (million)
% 15.62/2.69 % (3954433)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2455736211:i=3256:kws=precedence:bd=preordered:av=off_2990 on theBenchmark for (2990ds/3256Mi)
% 15.62/2.69 % (3954434)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2633761893:i=537:av=off:ss=included_2989 on theBenchmark for (2989ds/537Mi)
% 15.62/2.69 % (3954434)Instruction limit reached!
% 15.62/2.69 % (3954434)------------------------------
% 15.62/2.69 % (3954434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954434)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954434)Termination reason: Instruction limit
% 15.62/2.69 % (3954434)Termination phase: Saturation
% 15.62/2.69 % (3954434)Time elapsed: 0.101 s
% 15.62/2.69 % (3954434)Peak memory usage: 87 MB
% 15.62/2.69 % (3954434)Instructions burned: 541 (million)
% 15.62/2.69 % (3954437)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2991796525:i=180:bd=preordered:av=off_2987 on theBenchmark for (2987ds/180Mi)
% 15.62/2.69 % (3954437)Instruction limit reached!
% 15.62/2.69 % (3954437)------------------------------
% 15.62/2.69 % (3954437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954437)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954437)Termination reason: Instruction limit
% 15.62/2.69 % (3954437)Termination phase: Saturation
% 15.62/2.69 % (3954437)Time elapsed: 0.050 s
% 15.62/2.69 % (3954437)Peak memory usage: 93 MB
% 15.62/2.69 % (3954437)Instructions burned: 182 (million)
% 15.62/2.69 % (3954439)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=3554131922:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2986 on theBenchmark for (2986ds/10307Mi)
% 15.62/2.69 % (3954411)Instruction limit reached!
% 15.62/2.69 % (3954411)------------------------------
% 15.62/2.69 % (3954411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954411)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954411)Termination reason: Instruction limit
% 15.62/2.69 % (3954411)Termination phase: Saturation
% 15.62/2.69 % (3954411)Time elapsed: 1.185 s
% 15.62/2.69 % (3954411)Peak memory usage: 148 MB
% 15.62/2.69 % (3954411)Instructions burned: 3397 (million)
% 15.62/2.69 % (3954441)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2882700165:i=412:gtgl=4:gtg=exists_all_2984 on theBenchmark for (2984ds/412Mi)
% 15.62/2.69 % (3954441)Instruction limit reached!
% 15.62/2.69 % (3954441)------------------------------
% 15.62/2.69 % (3954441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954441)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954441)Termination reason: Instruction limit
% 15.62/2.69 % (3954441)Termination phase: Saturation
% 15.62/2.69 % (3954441)Time elapsed: 0.147 s
% 15.62/2.69 % (3954441)Peak memory usage: 93 MB
% 15.62/2.69 % (3954441)Instructions burned: 414 (million)
% 15.62/2.69 % (3954443)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=728448848:s2pl=no:i=8478:s2at=4:nm=6_2982 on theBenchmark for (2982ds/8478Mi)
% 15.62/2.69 % (3954419)Instruction limit reached!
% 15.62/2.69 % (3954419)------------------------------
% 15.62/2.69 % (3954419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954419)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954419)Termination reason: Instruction limit
% 15.62/2.69 % (3954419)Termination phase: Saturation
% 15.62/2.69 % (3954419)Time elapsed: 1.527 s
% 15.62/2.69 % (3954419)Peak memory usage: 148 MB
% 15.62/2.69 % (3954419)Instructions burned: 5209 (million)
% 15.62/2.69 % (3954445)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=3078456703:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2979 on theBenchmark for (2979ds/303Mi)
% 15.62/2.69 % (3954439)First to succeed.
% 15.62/2.69 % (3954439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3954382"
% 15.62/2.69 % (3954445)Instruction limit reached!
% 15.62/2.69 % (3954445)------------------------------
% 15.62/2.69 % (3954445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954445)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954445)Termination reason: Instruction limit
% 15.62/2.69 % (3954445)Termination phase: Saturation
% 15.62/2.69 % (3954445)Time elapsed: 0.075 s
% 15.62/2.69 % (3954445)Peak memory usage: 92 MB
% 15.62/2.69 % (3954445)Instructions burned: 306 (million)
% 15.62/2.69 % (3954433)Instruction limit reached!
% 15.62/2.69 % (3954433)------------------------------
% 15.62/2.69 % (3954433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.62/2.69 % (3954433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.62/2.69 % (3954433)CaDiCaL version: 2.1.3
% 15.62/2.69 % (3954433)Termination reason: Instruction limit
% 15.62/2.69 % (3954433)Termination phase: Saturation
% 15.62/2.69 % (3954433)Time elapsed: 1.213 s
% 15.62/2.69 % (3954433)Peak memory usage: 148 MB
% 15.62/2.69 % (3954433)Instructions burned: 3256 (million)
% 15.62/2.69 % (3954447)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=175239513:st=4:i=720:sd=3:fsr=off:ss=axioms_2977 on theBenchmark for (2977ds/720Mi)
% 15.62/2.69 % (3954439)Refutation found. Thanks to Tanya!
% 15.62/2.69 % SZS status Unsatisfiable for theBenchmark
% 15.62/2.69 % SZS output start Proof for theBenchmark
% See solution above
% 16.83/2.79 % (3954439)------------------------------
% 16.83/2.79 % (3954439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.83/2.79 % (3954439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.83/2.79 % (3954439)CaDiCaL version: 2.1.3
% 16.83/2.79 % (3954439)Termination reason: Refutation
% 16.83/2.79 % (3954439)Time elapsed: 0.724 s
% 16.83/2.79 % (3954439)Peak memory usage: 136 MB
% 16.83/2.79 % (3954439)Instructions burned: 1989 (million)
% 16.83/2.79 % (3954439)------------------------------
% 16.83/2.79 % (3954439)------------------------------
% 16.83/2.79 % (3954382)Success in time 2.378 s
% 16.83/2.79 % Vampire exiting
%------------------------------------------------------------------------------