%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:49:02 PM UTC 2026
% Result : Theorem 0.14s 9.14s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 9 unt; 1 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 38 ( 16 ~; 11 |; 5 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-6 aty)
% Number of variables : 42 ( 0 sgn 36 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71064,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s8_domain_1__e1_46__relset_2) ).
fof(f71120,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_relset_2) ).
fof(f71121,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
=> ! [X3,X4,X5] :
( m1_subset_1(X5,k1_zfmisc_1(X3))
=> m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4))) ) ),
inference(negated_conjecture,[status(cth)],[f71120]) ).
fof(f71169,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3)) ),
inference(ennf_transformation,[],[f71064]) ).
fof(f71170,plain,
! [X0,X1,X2,X3,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3)) ),
inference(flattening,[],[f71169]) ).
fof(f71236,plain,
? [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
& m1_subset_1(X5,k1_zfmisc_1(X3)) )
& m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1)))) ),
inference(ennf_transformation,[],[f71121]) ).
fof(f72090,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK7,sK8,sK9,sK10,sK11,sK12),k1_zfmisc_1(k1_zfmisc_1(sK11)))
& m1_subset_1(sK12,k1_zfmisc_1(sK10))
& m1_subset_1(sK9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK7,sK8)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10),skolemize(X4,sK11),skolemize(X5,sK12)],[f71236]) ).
fof(f72418,plain,
! [X2,X3,X0,X1,X4,X5] :
( m1_subset_1(a_6_0_relset_2(X0,X1,X2,X3,X4,X5),k1_zfmisc_1(k1_zfmisc_1(X4)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X0,X1))))
| ~ m1_subset_1(X5,k1_zfmisc_1(X3)) ),
inference(cnf_transformation,[],[f71170]) ).
fof(f72491,plain,
m1_subset_1(sK9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK7,sK8)))),
inference(cnf_transformation,[],[f72090]) ).
fof(f72492,plain,
m1_subset_1(sK12,k1_zfmisc_1(sK10)),
inference(cnf_transformation,[],[f72090]) ).
fof(f72493,plain,
~ m1_subset_1(a_6_0_relset_2(sK7,sK8,sK9,sK10,sK11,sK12),k1_zfmisc_1(k1_zfmisc_1(sK11))),
inference(cnf_transformation,[],[f72090]) ).
fof(f74799,definition,
( spl379_1
<=> m1_subset_1(a_6_0_relset_2(sK7,sK8,sK9,sK10,sK11,sK12),k1_zfmisc_1(k1_zfmisc_1(sK11))) ),
introduced(definition,[new_symbols(definition,[spl379_1])],[avatar_definition]) ).
fof(f74801,plain,
( ~ m1_subset_1(a_6_0_relset_2(sK7,sK8,sK9,sK10,sK11,sK12),k1_zfmisc_1(k1_zfmisc_1(sK11)))
| spl379_1 ),
inference(avatar_component_clause,[],[f74799]) ).
fof(f74802,plain,
~ spl379_1,
inference(avatar_split_clause,[],[f72493,f74799]) ).
fof(f74803,plain,
( ~ m1_subset_1(sK9,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(sK7,sK8))))
| ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| spl379_1 ),
inference(resolution,[],[f74801,f72418]) ).
fof(f74814,plain,
( ~ m1_subset_1(sK12,k1_zfmisc_1(sK10))
| spl379_1 ),
inference(forward_subsumption_resolution,[],[f74803,f72491]) ).
fof(f74815,plain,
( $false
| spl379_1 ),
inference(forward_subsumption_resolution,[],[f74814,f72492]) ).
fof(f74816,plain,
spl379_1,
inference(avatar_contradiction_clause,[],[f74815]) ).
cnf(s1,plain,
~ spl379_1,
inference(sat_conversion,[],[f74802]) ).
cnf(s2,plain,
spl379_1,
inference(sat_conversion,[],[f74816]) ).
cnf(s3,plain,
$false,
inference(rat,[],[s1,s2]) ).
fof(f74817,plain,
$false,
inference(avatar_sat_refutation,[],[s3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU435+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 % Computer : n011.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Mon Sep 28 05:27:34 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 18.15/8.18 % (3094243)Detected formulas, will run a generic FOF schedule.
% 18.15/8.18 % (3094251)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1355490194:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 18.15/8.18 % (3094248)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=3356228732:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 18.15/8.18 % (3094249)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=1865120275:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 18.15/8.18 % (3094250)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=51739325:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 18.15/8.18 % (3094252)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3066239837:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 18.15/8.18 % (3094251)Instruction limit reached!
% 18.15/8.18 % (3094251)------------------------------
% 18.15/8.18 % (3094251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.15/8.18 % (3094251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/8.18 % (3094251)CaDiCaL version: 2.1.3
% 18.15/8.18 % (3094251)Termination reason: Instruction limit
% 18.15/8.18 % (3094251)Termination phase: SInE selection
% 18.15/8.18 % (3094251)Time elapsed: 0.054 s
% 18.15/8.18 % (3094251)Peak memory usage: 201 MB
% 18.15/8.18 % (3094251)Instructions burned: 111 (million)
% 18.15/8.18 % (3094254)dis-21_1_sil=8000:lcm=predicate:random_seed=2614491654:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 18.15/8.18 % (3094253)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3391185137:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 18.15/8.18 % (3094253)Instruction limit reached!
% 18.15/8.18 % (3094253)------------------------------
% 18.15/8.18 % (3094253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.15/8.18 % (3094253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/8.18 % (3094253)CaDiCaL version: 2.1.3
% 18.15/8.18 % (3094253)Termination reason: Instruction limit
% 18.15/8.18 % (3094253)Termination phase: Property scanning
% 18.15/8.18 % (3094253)Time elapsed: 0.067 s
% 18.15/8.18 % (3094253)Peak memory usage: 201 MB
% 18.15/8.18 % (3094253)Instructions burned: 140 (million)
% 18.15/8.18 % (3094252)Instruction limit reached!
% 18.15/8.18 % (3094252)------------------------------
% 18.15/8.18 % (3094252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.15/8.18 % (3094252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/8.18 % (3094252)CaDiCaL version: 2.1.3
% 18.15/8.18 % (3094252)Termination reason: Instruction limit
% 18.15/8.18 % (3094252)Termination phase: SInE selection
% 18.15/8.18 % (3094252)Time elapsed: 0.092 s
% 18.15/8.18 % (3094252)Peak memory usage: 201 MB
% 18.15/8.18 % (3094252)Instructions burned: 119 (million)
% 18.15/8.18 % (3094262)lrs+10_1_sil=8000:sp=occurrence:random_seed=1218954899:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 18.15/8.18 % (3094254)Instruction limit reached!
% 18.15/8.18 % (3094254)------------------------------
% 18.15/8.18 % (3094254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.15/8.18 % (3094254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.15/8.18 % (3094254)CaDiCaL version: 2.1.3
% 18.15/8.18 % (3094254)Termination reason: Instruction limit
% 18.15/8.18 % (3094254)Termination phase: SInE selection
% 18.15/8.18 % (3094254)Time elapsed: 0.104 s
% 18.15/8.18 % (3094254)Peak memory usage: 201 MB
% 18.15/8.18 % (3094254)Instructions burned: 129 (million)
% 18.15/8.18 % (3094264)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2870589357:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 18.15/8.18 % (3094263)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4137697332:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/157Mi)
% 18.15/8.18 % (3094262)Instruction limit reached!
% 18.15/8.18 % (3094262)------------------------------
% 18.15/8.18 % (3094262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.15/8.18 % (3094262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094262)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094262)Termination reason: Instruction limit
% 21.98/8.88 % (3094262)Termination phase: SInE selection
% 21.98/8.88 % (3094262)Time elapsed: 0.133 s
% 21.98/8.88 % (3094262)Peak memory usage: 201 MB
% 21.98/8.88 % (3094262)Instructions burned: 286 (million)
% 21.98/8.88 % (3094266)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=2251433615:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 21.98/8.88 % (3094263)Instruction limit reached!
% 21.98/8.88 % (3094263)------------------------------
% 21.98/8.88 % (3094263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.98/8.88 % (3094263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094263)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094263)Termination reason: Instruction limit
% 21.98/8.88 % (3094263)Termination phase: Property scanning
% 21.98/8.88 % (3094263)Time elapsed: 0.075 s
% 21.98/8.88 % (3094263)Peak memory usage: 201 MB
% 21.98/8.88 % (3094263)Instructions burned: 157 (million)
% 21.98/8.88 % (3094266)Instruction limit reached!
% 21.98/8.88 % (3094266)------------------------------
% 21.98/8.88 % (3094266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.98/8.88 % (3094266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094266)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094266)Termination reason: Instruction limit
% 21.98/8.88 % (3094266)Termination phase: Property scanning
% 21.98/8.88 % (3094266)Time elapsed: 0.112 s
% 21.98/8.88 % (3094266)Peak memory usage: 201 MB
% 21.98/8.88 % (3094266)Instructions burned: 248 (million)
% 21.98/8.88 % (3094269)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4221653404:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 21.98/8.88 % (3094271)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2360453138:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 21.98/8.88 % (3094264)Instruction limit reached!
% 21.98/8.88 % (3094264)------------------------------
% 21.98/8.88 % (3094264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.98/8.88 % (3094264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094264)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094264)Termination reason: Instruction limit
% 21.98/8.88 % (3094264)Termination phase: SInE selection
% 21.98/8.88 % (3094264)Time elapsed: 0.239 s
% 21.98/8.88 % (3094264)Peak memory usage: 201 MB
% 21.98/8.88 % (3094264)Instructions burned: 325 (million)
% 21.98/8.88 % (3094273)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2650887747:cts=off:i=113:fsr=off:ss=included:sgt=4_2938 on theBenchmark for (2938ds/113Mi)
% 21.98/8.88 % (3094273)Instruction limit reached!
% 21.98/8.88 % (3094273)------------------------------
% 21.98/8.88 % (3094273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.98/8.88 % (3094273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094273)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094273)Termination reason: Instruction limit
% 21.98/8.88 % (3094273)Termination phase: SInE selection
% 21.98/8.88 % (3094273)Time elapsed: 0.054 s
% 21.98/8.88 % (3094273)Peak memory usage: 201 MB
% 21.98/8.88 % (3094273)Instructions burned: 115 (million)
% 21.98/8.88 % (3094275)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3890711844:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 21.98/8.88 % (3094269)Instruction limit reached!
% 21.98/8.88 % (3094269)------------------------------
% 21.98/8.88 % (3094269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.98/8.88 % (3094269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.98/8.88 % (3094269)CaDiCaL version: 2.1.3
% 21.98/8.88 % (3094269)Termination reason: Instruction limit
% 21.98/8.88 % (3094269)Termination phase: SInE selection
% 21.98/8.88 % (3094269)Time elapsed: 0.234 s
% 21.98/8.88 % (3094269)Peak memory usage: 201 MB
% 21.98/8.88 % (3094269)Instructions burned: 295 (million)
% 21.98/8.88 % (3094277)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=447523281:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 21.98/8.88 % (3094277)Instruction limit reached!
% 21.98/8.88 % (3094277)------------------------------
% 21.98/8.88 % (3094277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094277)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094277)Termination reason: Instruction limit
% 0.14/9.14 % (3094277)Termination phase: Property scanning
% 0.14/9.14 % (3094277)Time elapsed: 0.032 s
% 0.14/9.14 % (3094277)Peak memory usage: 201 MB
% 0.14/9.14 % (3094277)Instructions burned: 117 (million)
% 0.14/9.14 % (3094275)Instruction limit reached!
% 0.14/9.14 % (3094275)------------------------------
% 0.14/9.14 % (3094275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094275)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094275)Termination reason: Instruction limit
% 0.14/9.14 % (3094275)Termination phase: Preprocessing 1
% 0.14/9.14 % (3094275)Time elapsed: 0.102 s
% 0.14/9.14 % (3094275)Peak memory usage: 202 MB
% 0.14/9.14 % (3094275)Instructions burned: 127 (million)
% 0.14/9.14 % (3094279)lrs+10_1_sil=8000:sp=occurrence:random_seed=4045698594:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 0.14/9.14 % (3094281)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3481208476:i=437:sd=1:aac=none:ss=included_2935 on theBenchmark for (2935ds/437Mi)
% 0.14/9.14 % (3094282)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4136784615:i=5202:ss=axioms:sgt=16_2935 on theBenchmark for (2935ds/5202Mi)
% 0.14/9.14 % (3094281)Instruction limit reached!
% 0.14/9.14 % (3094281)------------------------------
% 0.14/9.14 % (3094281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094281)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094281)Termination reason: Instruction limit
% 0.14/9.14 % (3094281)Termination phase: SInE selection
% 0.14/9.14 % (3094281)Time elapsed: 0.195 s
% 0.14/9.14 % (3094281)Peak memory usage: 202 MB
% 0.14/9.14 % (3094281)Instructions burned: 439 (million)
% 0.14/9.14 % (3094286)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3601051248:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 0.14/9.14 % (3094286)Instruction limit reached!
% 0.14/9.14 % (3094286)------------------------------
% 0.14/9.14 % (3094286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094286)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094286)Termination reason: Instruction limit
% 0.14/9.14 % (3094286)Termination phase: SInE selection
% 0.14/9.14 % (3094286)Time elapsed: 0.061 s
% 0.14/9.14 % (3094286)Peak memory usage: 201 MB
% 0.14/9.14 % (3094286)Instructions burned: 134 (million)
% 0.14/9.14 % (3094288)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3752099156:st=8:i=592:sd=3:ep=RST:ss=axioms_2931 on theBenchmark for (2931ds/592Mi)
% 0.14/9.14 % (3094279)Instruction limit reached!
% 0.14/9.14 % (3094279)------------------------------
% 0.14/9.14 % (3094279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094279)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094279)Termination reason: Instruction limit
% 0.14/9.14 % (3094279)Termination phase: Preprocessing 1
% 0.14/9.14 % (3094279)Time elapsed: 0.680 s
% 0.14/9.14 % (3094279)Peak memory usage: 204 MB
% 0.14/9.14 % (3094279)Instructions burned: 907 (million)
% 0.14/9.14 % (3094288)Instruction limit reached!
% 0.14/9.14 % (3094288)------------------------------
% 0.14/9.14 % (3094288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094288)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094288)Termination reason: Instruction limit
% 0.14/9.14 % (3094288)Termination phase: SInE selection
% 0.14/9.14 % (3094288)Time elapsed: 0.232 s
% 0.14/9.14 % (3094288)Peak memory usage: 203 MB
% 0.14/9.14 % (3094288)Instructions burned: 594 (million)
% 0.14/9.14 % (3094290)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=201912439:st=3:i=13193:sd=3:ss=axioms_2928 on theBenchmark for (2928ds/13193Mi)
% 0.14/9.14 % (3094291)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=3342180185:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/125Mi)
% 0.14/9.14 % (3094291)Instruction limit reached!
% 0.14/9.14 % (3094291)------------------------------
% 0.14/9.14 % (3094291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094291)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094291)Termination reason: Instruction limit
% 0.14/9.14 % (3094291)Termination phase: Property scanning
% 0.14/9.14 % (3094291)Time elapsed: 0.035 s
% 0.14/9.14 % (3094291)Peak memory usage: 201 MB
% 0.14/9.14 % (3094291)Instructions burned: 125 (million)
% 0.14/9.14 % (3094294)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3275291740:i=134:gtgl=5:slsql=off:gtg=exists_sym_2926 on theBenchmark for (2926ds/134Mi)
% 0.14/9.14 % (3094294)Instruction limit reached!
% 0.14/9.14 % (3094294)------------------------------
% 0.14/9.14 % (3094294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094294)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094294)Termination reason: Instruction limit
% 0.14/9.14 % (3094294)Termination phase: Property scanning
% 0.14/9.14 % (3094294)Time elapsed: 0.038 s
% 0.14/9.14 % (3094294)Peak memory usage: 201 MB
% 0.14/9.14 % (3094294)Instructions burned: 138 (million)
% 0.14/9.14 % (3094296)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=249665050:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/141Mi)
% 0.14/9.14 % (3094296)Instruction limit reached!
% 0.14/9.14 % (3094296)------------------------------
% 0.14/9.14 % (3094296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094296)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094296)Termination reason: Instruction limit
% 0.14/9.14 % (3094296)Termination phase: SInE selection
% 0.14/9.14 % (3094296)Time elapsed: 0.062 s
% 0.14/9.14 % (3094296)Peak memory usage: 201 MB
% 0.14/9.14 % (3094296)Instructions burned: 141 (million)
% 0.14/9.14 % (3094250)First to succeed.
% 0.14/9.14 % (3094250)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3094243"
% 0.14/9.14 % (3094298)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2890405401:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2922 on theBenchmark for (2922ds/431Mi)
% 0.14/9.14 % (3094250)Refutation found. Thanks to Tanya!
% 0.14/9.14 % SZS status Theorem for theBenchmark
% 0.14/9.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/9.14 % (3094250)------------------------------
% 0.14/9.14 % (3094250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.14/9.14 % (3094250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/9.14 % (3094250)CaDiCaL version: 2.1.3
% 0.14/9.14 % (3094250)Termination reason: Refutation
% 0.14/9.14 % (3094250)Time elapsed: 1.999 s
% 0.14/9.14 % (3094250)Peak memory usage: 296 MB
% 0.14/9.14 % (3094250)Instructions burned: 2743 (million)
% 0.14/9.14 % (3094250)------------------------------
% 0.14/9.14 % (3094250)------------------------------
% 0.14/9.14 % (3094243)Success in time 8.048 s
% 0.14/9.14 % Vampire exiting
%------------------------------------------------------------------------------