%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV673+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:58:32 PM UTC 2026
% Result : Theorem 14.23s 3.90s
% Output : Refutation 20.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 14 unt; 1 def)
% Number of atoms : 82 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 81 ( 32 ~; 26 |; 8 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 36 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f834,axiom,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.O') ).
fof(f1233,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
=> cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.Arith.PeanoNat.Nat.add_0_l') ).
fof(f1783,axiom,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ! [X3] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X3)
=> ! [X4] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X4)
=> cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,X4),X2,cCoq_2eInit_2eNat_2eadd___24a2(X4,X3)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X4,X3))),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','Substitution.subst_rec_subst_rec') ).
fof(f2702,conjecture,
! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ! [X3] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X3)
=> cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,cCoq_2eInit_2eDatatypes_2eO),X2,X3) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(X3)),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),cCoq_2eInit_2eDatatypes_2eO) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2703,negated_conjecture,
~ ! [X0] :
( cLambda_2eRedexes_2eredexes___24t(X0)
=> ! [X1] :
( cLambda_2eRedexes_2eredexes___24t(X1)
=> ! [X2] :
( cLambda_2eRedexes_2eredexes___24t(X2)
=> ! [X3] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X3)
=> cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,cCoq_2eInit_2eDatatypes_2eO),X2,X3) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(X3)),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),cCoq_2eInit_2eDatatypes_2eO) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f2702]) ).
fof(f2730,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,cCoq_2eInit_2eDatatypes_2eO),X2,X3) != cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(X3)),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),cCoq_2eInit_2eDatatypes_2eO)
& cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
& cLambda_2eRedexes_2eredexes___24t(X2) )
& cLambda_2eRedexes_2eredexes___24t(X1) )
& cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f2703]) ).
fof(f2813,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,X4),X2,cCoq_2eInit_2eNat_2eadd___24a2(X4,X3)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X4,X3))),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),X4)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X4) )
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3) )
| ~ cLambda_2eRedexes_2eredexes___24t(X2) )
| ~ cLambda_2eRedexes_2eredexes___24t(X1) )
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(ennf_transformation,[],[f1783]) ).
fof(f3017,plain,
! [X0] :
( cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,X0) = X0
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(ennf_transformation,[],[f1233]) ).
fof(f3358,plain,
( cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,cCoq_2eInit_2eDatatypes_2eO),sK11,sK12) != cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(sK12)),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,sK12),cCoq_2eInit_2eDatatypes_2eO)
& cCoq_2eInit_2eDatatypes_2enat___24t(sK12)
& cLambda_2eRedexes_2eredexes___24t(sK11)
& cLambda_2eRedexes_2eredexes___24t(sK10)
& cLambda_2eRedexes_2eredexes___24t(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12)],[f2730]) ).
fof(f3504,plain,
cLambda_2eRedexes_2eredexes___24t(sK9),
inference(cnf_transformation,[],[f3358]) ).
fof(f3505,plain,
cLambda_2eRedexes_2eredexes___24t(sK10),
inference(cnf_transformation,[],[f3358]) ).
fof(f3506,plain,
cLambda_2eRedexes_2eredexes___24t(sK11),
inference(cnf_transformation,[],[f3358]) ).
fof(f3507,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(sK12),
inference(cnf_transformation,[],[f3358]) ).
fof(f3508,plain,
cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,cCoq_2eInit_2eDatatypes_2eO),sK11,sK12) != cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(sK12)),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,sK12),cCoq_2eInit_2eDatatypes_2eO),
inference(cnf_transformation,[],[f3358]) ).
fof(f3541,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO),
inference(cnf_transformation,[],[f834]) ).
fof(f3590,plain,
! [X2,X3,X0,X1,X4] :
( ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X4)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X3)
| cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X0,X4),X2,cCoq_2eInit_2eNat_2eadd___24a2(X4,X3)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,X2,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X4,X3))),cSubstitution_2esubst__rec__r___24a3(X0,X2,X3),X4)
| ~ cLambda_2eRedexes_2eredexes___24t(X1)
| ~ cLambda_2eRedexes_2eredexes___24t(X0) ),
inference(cnf_transformation,[],[f2813]) ).
fof(f3762,plain,
! [X0] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,X0) = X0 ),
inference(cnf_transformation,[],[f3017]) ).
fof(f4293,definition,
( spl66_1
<=> cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO) ),
introduced(definition,[new_symbols(definition,[spl66_1])],[avatar_definition]) ).
fof(f4294,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(cCoq_2eInit_2eDatatypes_2eO)
| ~ spl66_1 ),
inference(avatar_component_clause,[],[f4293]) ).
fof(f4338,plain,
spl66_1,
inference(avatar_split_clause,[],[f3541,f4293]) ).
fof(f4343,plain,
sK12 = cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,sK12),
inference(resolution,[],[f3762,f3507]) ).
fof(f4448,plain,
! [X2,X3,X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(X3)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X2,X3,X0),sK11,cCoq_2eInit_2eNat_2eadd___24a2(X0,X1)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X2,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X0,X1))),cSubstitution_2esubst__rec__r___24a3(X3,sK11,X1),X0)
| ~ cLambda_2eRedexes_2eredexes___24t(X2)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(resolution,[],[f3590,f3506]) ).
fof(f4576,plain,
! [X2,X0,X1] :
( ~ cLambda_2eRedexes_2eredexes___24t(X1)
| cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,sK9,X2),sK11,cCoq_2eInit_2eNat_2eadd___24a2(X2,X0)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(X1,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X2,X0))),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,X0),X2)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) ),
inference(resolution,[],[f4448,f3504]) ).
fof(f4591,plain,
! [X0,X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X1)
| cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,X0),sK11,cCoq_2eInit_2eNat_2eadd___24a2(X0,X1)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X0,X1))),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,X1),X0)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(resolution,[],[f4576,f3505]) ).
fof(f4596,plain,
! [X0] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,X0),sK11,cCoq_2eInit_2eNat_2eadd___24a2(X0,sK12)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(X0,sK12))),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,sK12),X0) ),
inference(resolution,[],[f4591,f3507]) ).
fof(f4735,plain,
( cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,cCoq_2eInit_2eDatatypes_2eO),sK11,cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,sK12)) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(cCoq_2eInit_2eNat_2eadd___24a2(cCoq_2eInit_2eDatatypes_2eO,sK12))),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,sK12),cCoq_2eInit_2eDatatypes_2eO)
| ~ spl66_1 ),
inference(resolution,[],[f4596,f4294]) ).
fof(f4736,plain,
( cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK9,cCoq_2eInit_2eDatatypes_2eO),sK11,sK12) = cSubstitution_2esubst__rec__r___24a3(cSubstitution_2esubst__rec__r___24a3(sK10,sK11,cCoq_2eInit_2eDatatypes_2eS___24a1(sK12)),cSubstitution_2esubst__rec__r___24a3(sK9,sK11,sK12),cCoq_2eInit_2eDatatypes_2eO)
| ~ spl66_1 ),
inference(forward_demodulation,[],[f4735,f4343]) ).
fof(f4737,plain,
( $false
| ~ spl66_1 ),
inference(forward_subsumption_resolution,[],[f4736,f3508]) ).
fof(f4738,plain,
~ spl66_1,
inference(avatar_contradiction_clause,[],[f4737]) ).
cnf(s12,plain,
spl66_1,
inference(sat_conversion,[],[f4338]) ).
cnf(s18,plain,
~ spl66_1,
inference(sat_conversion,[],[f4738]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s12,s18]) ).
fof(f4739,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV673+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n010.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 06:52:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 14.09/3.10 % (1728360)Detected formulas, will run a generic FOF schedule.
% 14.09/3.10 % (1728366)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1451583096:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 14.09/3.10 % (1728368)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=645234147:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 14.09/3.10 % (1728371)dis-21_1_sil=8000:lcm=predicate:random_seed=2823452217:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 14.09/3.10 % (1728365)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=4053034683:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 14.09/3.10 % (1728367)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2653211538:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 14.09/3.10 % (1728369)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1126699081:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 14.09/3.10 % (1728370)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1421034759:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 14.09/3.10 % (1728368)Refutation not found, incomplete strategy
% 14.09/3.10 % (1728368)------------------------------
% 14.09/3.10 % (1728368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.10 % (1728368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.10 % (1728368)CaDiCaL version: 2.1.3
% 14.09/3.10 % (1728368)Termination reason: Refutation not found, incomplete strategy
% 14.09/3.10 % (1728368)Time elapsed: 0.019 s
% 14.09/3.10 % (1728368)Peak memory usage: 92 MB
% 14.09/3.10 % (1728368)Instructions burned: 38 (million)
% 14.09/3.10 % (1728370)Instruction limit reached!
% 14.09/3.10 % (1728370)------------------------------
% 14.09/3.10 % (1728370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.10 % (1728370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.10 % (1728370)CaDiCaL version: 2.1.3
% 14.09/3.10 % (1728370)Termination reason: Instruction limit
% 14.09/3.10 % (1728370)Termination phase: Naming
% 14.09/3.10 % (1728370)Time elapsed: 0.058 s
% 14.09/3.10 % (1728370)Peak memory usage: 90 MB
% 14.09/3.10 % (1728370)Instructions burned: 139 (million)
% 14.09/3.10 % (1728371)Instruction limit reached!
% 14.09/3.10 % (1728371)------------------------------
% 14.09/3.10 % (1728371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.10 % (1728371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.10 % (1728371)CaDiCaL version: 2.1.3
% 14.09/3.10 % (1728371)Termination reason: Instruction limit
% 14.09/3.10 % (1728371)Termination phase: Preprocessing 3
% 14.09/3.10 % (1728371)Time elapsed: 0.065 s
% 14.09/3.10 % (1728371)Peak memory usage: 92 MB
% 14.09/3.10 % (1728371)Instructions burned: 130 (million)
% 14.09/3.10 % (1728369)Instruction limit reached!
% 14.09/3.10 % (1728369)------------------------------
% 14.09/3.10 % (1728369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.09/3.10 % (1728369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.09/3.10 % (1728369)CaDiCaL version: 2.1.3
% 14.09/3.10 % (1728369)Termination reason: Instruction limit
% 14.09/3.10 % (1728369)Termination phase: Saturation
% 14.09/3.10 % (1728369)Time elapsed: 0.064 s
% 14.09/3.10 % (1728369)Peak memory usage: 92 MB
% 14.09/3.10 % (1728369)Instructions burned: 120 (million)
% 14.09/3.10 % (1728380)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2909230541:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.09/3.10 % (1728379)lrs+10_1_sil=8000:sp=occurrence:random_seed=3562229354:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 14.09/3.10 % (1728381)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2746291062:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.09/3.10 % (1728368)------------------------------
% 14.09/3.10 % (1728368)------------------------------
% 14.09/3.10 % (1728380)Instruction limit reached!
% 14.09/3.10 % (1728380)------------------------------
% 14.09/3.10 % (1728380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728380)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728380)Termination reason: Instruction limit
% 14.23/3.90 % (1728380)Termination phase: Saturation
% 14.23/3.90 % (1728380)Time elapsed: 0.062 s
% 14.23/3.90 % (1728380)Peak memory usage: 93 MB
% 14.23/3.90 % (1728380)Instructions burned: 158 (million)
% 14.23/3.90 % (1728379)Instruction limit reached!
% 14.23/3.90 % (1728379)------------------------------
% 14.23/3.90 % (1728379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728379)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728379)Termination reason: Instruction limit
% 14.23/3.90 % (1728379)Termination phase: Saturation
% 14.23/3.90 % (1728379)Time elapsed: 0.166 s
% 14.23/3.90 % (1728379)Peak memory usage: 95 MB
% 14.23/3.90 % (1728379)Instructions burned: 286 (million)
% 14.23/3.90 % (1728381)Instruction limit reached!
% 14.23/3.90 % (1728381)------------------------------
% 14.23/3.90 % (1728381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728381)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728381)Termination reason: Instruction limit
% 14.23/3.90 % (1728381)Termination phase: Saturation
% 14.23/3.90 % (1728381)Time elapsed: 0.154 s
% 14.23/3.90 % (1728381)Peak memory usage: 94 MB
% 14.23/3.90 % (1728381)Instructions burned: 325 (million)
% 14.23/3.90 % (1728385)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=864926508:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.23/3.90 % (1728386)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1260298658:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.23/3.90 % (1728386)Refutation not found, incomplete strategy
% 14.23/3.90 % (1728386)------------------------------
% 14.23/3.90 % (1728386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728386)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728386)Termination reason: Refutation not found, incomplete strategy
% 14.23/3.90 % (1728386)Time elapsed: 0.037 s
% 14.23/3.90 % (1728386)Peak memory usage: 92 MB
% 14.23/3.90 % (1728386)Instructions burned: 79 (million)
% 14.23/3.90 % (1728385)Instruction limit reached!
% 14.23/3.90 % (1728385)------------------------------
% 14.23/3.90 % (1728385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728385)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728385)Termination reason: Instruction limit
% 14.23/3.90 % (1728385)Termination phase: Property scanning
% 14.23/3.90 % (1728385)Time elapsed: 0.117 s
% 14.23/3.90 % (1728385)Peak memory usage: 95 MB
% 14.23/3.90 % (1728385)Instructions burned: 248 (million)
% 14.23/3.90 % (1728387)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3609105877:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 14.23/3.90 % (1728388)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3818904991:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 14.23/3.90 % (1728388)Instruction limit reached!
% 14.23/3.90 % (1728388)------------------------------
% 14.23/3.90 % (1728388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728388)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728388)Termination reason: Instruction limit
% 14.23/3.90 % (1728388)Termination phase: Preprocessing 3
% 14.23/3.90 % (1728388)Time elapsed: 0.058 s
% 14.23/3.90 % (1728388)Peak memory usage: 91 MB
% 14.23/3.90 % (1728388)Instructions burned: 114 (million)
% 14.23/3.90 % (1728393)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1932143503:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.23/3.90 % (1728386)------------------------------
% 14.23/3.90 % (1728386)------------------------------
% 14.23/3.90 % (1728393)Instruction limit reached!
% 14.23/3.90 % (1728393)------------------------------
% 14.23/3.90 % (1728393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728393)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728393)Termination reason: Instruction limit
% 14.23/3.90 % (1728393)Termination phase: Preprocessing 3
% 14.23/3.90 % (1728393)Time elapsed: 0.072 s
% 14.23/3.90 % (1728393)Peak memory usage: 93 MB
% 14.23/3.90 % (1728393)Instructions burned: 129 (million)
% 14.23/3.90 % (1728394)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1107170475:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.23/3.90 % (1728394)Instruction limit reached!
% 14.23/3.90 % (1728394)------------------------------
% 14.23/3.90 % (1728394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728394)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728394)Termination reason: Instruction limit
% 14.23/3.90 % (1728394)Termination phase: Property scanning
% 14.23/3.90 % (1728394)Time elapsed: 0.041 s
% 14.23/3.90 % (1728394)Peak memory usage: 88 MB
% 14.23/3.90 % (1728394)Instructions burned: 115 (million)
% 14.23/3.90 % (1728396)lrs+10_1_sil=8000:sp=occurrence:random_seed=3723590718:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 14.23/3.90 % (1728398)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3731486974:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 14.23/3.90 % (1728399)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4016897267:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 14.23/3.90 % (1728398)Instruction limit reached!
% 14.23/3.90 % (1728398)------------------------------
% 14.23/3.90 % (1728398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728398)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728398)Termination reason: Instruction limit
% 14.23/3.90 % (1728398)Termination phase: Saturation
% 14.23/3.90 % (1728398)Time elapsed: 0.198 s
% 14.23/3.90 % (1728398)Peak memory usage: 98 MB
% 14.23/3.90 % (1728398)Instructions burned: 437 (million)
% 14.23/3.90 % (1728403)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2069429152:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 14.23/3.90 % (1728403)Instruction limit reached!
% 14.23/3.90 % (1728403)------------------------------
% 14.23/3.90 % (1728403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728403)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728403)Termination reason: Instruction limit
% 14.23/3.90 % (1728403)Termination phase: NewCNF
% 14.23/3.90 % (1728403)Time elapsed: 0.072 s
% 14.23/3.90 % (1728403)Peak memory usage: 93 MB
% 14.23/3.90 % (1728403)Instructions burned: 134 (million)
% 14.23/3.90 % (1728396)Instruction limit reached!
% 14.23/3.90 % (1728396)------------------------------
% 14.23/3.90 % (1728396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728396)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728396)Termination reason: Instruction limit
% 14.23/3.90 % (1728396)Termination phase: Saturation
% 14.23/3.90 % (1728396)Time elapsed: 0.524 s
% 14.23/3.90 % (1728396)Peak memory usage: 102 MB
% 14.23/3.90 % (1728396)Instructions burned: 908 (million)
% 14.23/3.90 % (1728405)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3244009690:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 14.23/3.90 % (1728406)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2303081414:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 14.23/3.90 % (1728405)Instruction limit reached!
% 14.23/3.90 % (1728405)------------------------------
% 14.23/3.90 % (1728405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728405)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728405)Termination reason: Instruction limit
% 14.23/3.90 % (1728405)Termination phase: Saturation
% 14.23/3.90 % (1728405)Time elapsed: 0.295 s
% 14.23/3.90 % (1728405)Peak memory usage: 100 MB
% 14.23/3.90 % (1728405)Instructions burned: 592 (million)
% 14.23/3.90 % (1728409)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1102693403:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 14.23/3.90 % (1728409)Instruction limit reached!
% 14.23/3.90 % (1728409)------------------------------
% 14.23/3.90 % (1728409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728409)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728409)Termination reason: Instruction limit
% 14.23/3.90 % (1728409)Termination phase: SInE selection
% 14.23/3.90 % (1728409)Time elapsed: 0.045 s
% 14.23/3.90 % (1728409)Peak memory usage: 88 MB
% 14.23/3.90 % (1728409)Instructions burned: 125 (million)
% 14.23/3.90 % (1728387)Instruction limit reached!
% 14.23/3.90 % (1728387)------------------------------
% 14.23/3.90 % (1728387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728387)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728387)Termination reason: Instruction limit
% 14.23/3.90 % (1728387)Termination phase: Saturation
% 14.23/3.90 % (1728387)Time elapsed: 1.421 s
% 14.23/3.90 % (1728387)Peak memory usage: 217 MB
% 14.23/3.90 % (1728387)Instructions burned: 2350 (million)
% 14.23/3.90 % (1728411)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1562202528:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 14.23/3.90 % (1728411)Instruction limit reached!
% 14.23/3.90 % (1728411)------------------------------
% 14.23/3.90 % (1728411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728411)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728411)Termination reason: Instruction limit
% 14.23/3.90 % (1728411)Termination phase: Property scanning
% 14.23/3.90 % (1728411)Time elapsed: 0.048 s
% 14.23/3.90 % (1728411)Peak memory usage: 88 MB
% 14.23/3.90 % (1728411)Instructions burned: 134 (million)
% 14.23/3.90 % (1728412)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2749960693:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 14.23/3.90 % (1728412)Instruction limit reached!
% 14.23/3.90 % (1728412)------------------------------
% 14.23/3.90 % (1728412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728412)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728412)Termination reason: Instruction limit
% 14.23/3.90 % (1728412)Termination phase: Saturation
% 14.23/3.90 % (1728412)Time elapsed: 0.072 s
% 14.23/3.90 % (1728412)Peak memory usage: 94 MB
% 14.23/3.90 % (1728412)Instructions burned: 143 (million)
% 14.23/3.90 % (1728414)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1783850145:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 14.23/3.90 % (1728414)Refutation not found, incomplete strategy
% 14.23/3.90 % (1728414)------------------------------
% 14.23/3.90 % (1728414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.23/3.90 % (1728414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.23/3.90 % (1728414)CaDiCaL version: 2.1.3
% 14.23/3.90 % (1728414)Termination reason: Refutation not found, incomplete strategy
% 14.23/3.90 % (1728414)Time elapsed: 0.025 s
% 14.23/3.90 % (1728414)Peak memory usage: 92 MB
% 14.23/3.90 % (1728414)Instructions burned: 48 (million)
% 14.23/3.90 % (1728416)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3780101806:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 14.23/3.90 % (1728406)First to succeed.
% 14.23/3.90 % (1728406)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1728360"
% 14.23/3.90 % (1728414)------------------------------
% 14.23/3.90 % (1728414)------------------------------
% 14.23/3.90 % (1728419)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4010264892:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 14.23/3.90 % (1728406)Refutation found. Thanks to Tanya!
% 14.23/3.90 % SZS status Theorem for theBenchmark
% 20.36/4.09 % SZS output start Proof for theBenchmark
% See solution above
% 20.36/4.09 % (1728406)------------------------------
% 20.36/4.09 % (1728406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.36/4.09 % (1728406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.36/4.09 % (1728406)CaDiCaL version: 2.1.3
% 20.36/4.09 % (1728406)Termination reason: Refutation
% 20.36/4.09 % (1728406)Time elapsed: 0.888 s
% 20.36/4.09 % (1728406)Peak memory usage: 144 MB
% 20.36/4.09 % (1728406)Instructions burned: 1421 (million)
% 20.36/4.09 % (1728406)------------------------------
% 20.36/4.09 % (1728406)------------------------------
% 20.36/4.09 % (1728360)Success in time 3.038 s
% 20.36/4.09 % Vampire exiting
%------------------------------------------------------------------------------