%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP027+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 02:33:55 PM UTC 2026
% Result : Theorem 0.21s 4.21s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 13 unt; 2 def)
% Number of atoms : 173 ( 11 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 214 ( 91 ~; 79 |; 27 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18338,axiom,
! [X0,X1] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v3_pre_topc(k1_tops_1(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f18475,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f34386,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X2,X0)
=> X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_tsp_2) ).
fof(f34388,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_tsp_2) ).
fof(f34389,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34388]) ).
fof(f34468,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f34386]) ).
fof(f34469,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f34468]) ).
fof(f34472,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_tops_1(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f34389]) ).
fof(f34473,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_tops_1(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f34472]) ).
fof(f34963,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f18475]) ).
fof(f34964,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f34963]) ).
fof(f34983,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f18338]) ).
fof(f34984,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f34983]) ).
fof(f35021,plain,
( k1_tops_1(sK20,sK22) != k3_tex_4(sK20,k5_subset_1(u1_struct_0(sK20),sK21,k1_tops_1(sK20,sK22)))
& m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
& v1_tsp_2(sK21,sK20)
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
& ~ v3_struct_0(sK20)
& v2_pre_topc(sK20)
& l1_pre_topc(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22)],[f34473]) ).
fof(f35243,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f34469]) ).
fof(f35245,plain,
l1_pre_topc(sK20),
inference(cnf_transformation,[],[f35021]) ).
fof(f35246,plain,
v2_pre_topc(sK20),
inference(cnf_transformation,[],[f35021]) ).
fof(f35247,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f35021]) ).
fof(f35248,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f35021]) ).
fof(f35249,plain,
v1_tsp_2(sK21,sK20),
inference(cnf_transformation,[],[f35021]) ).
fof(f35250,plain,
m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f35021]) ).
fof(f35251,plain,
k1_tops_1(sK20,sK22) != k3_tex_4(sK20,k5_subset_1(u1_struct_0(sK20),sK21,k1_tops_1(sK20,sK22))),
inference(cnf_transformation,[],[f35021]) ).
fof(f35876,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f34964]) ).
fof(f35893,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f34984]) ).
fof(f36699,plain,
( k1_tops_1(sK20,sK22) != k1_tops_1(sK20,sK22)
| ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v1_tsp_2(sK21,sK20)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(superposition,[],[f35251,f35243]) ).
fof(f36705,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v1_tsp_2(sK21,sK20)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(trivial_inequality_removal,[],[f36699]) ).
fof(f36710,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36705,f35249]) ).
fof(f36719,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36710,f35248]) ).
fof(f36721,definition,
( spl111_96
<=> m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(definition,[new_symbols(definition,[spl111_96])],[avatar_definition]) ).
fof(f36722,plain,
( ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_96 ),
inference(avatar_component_clause,[],[f36721]) ).
fof(f36740,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36719,f35247]) ).
fof(f36752,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36740,f35246]) ).
fof(f36759,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| ~ m1_subset_1(k1_tops_1(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(forward_subsumption_resolution,[],[f36752,f35245]) ).
fof(f36765,definition,
( spl111_104
<=> v3_pre_topc(k1_tops_1(sK20,sK22),sK20) ),
introduced(definition,[new_symbols(definition,[spl111_104])],[avatar_definition]) ).
fof(f36766,plain,
( ~ v3_pre_topc(k1_tops_1(sK20,sK22),sK20)
| spl111_104 ),
inference(avatar_component_clause,[],[f36765]) ).
fof(f36767,plain,
( ~ spl111_96
| ~ spl111_104 ),
inference(avatar_split_clause,[],[f36759,f36765,f36721]) ).
fof(f36924,plain,
( ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_96 ),
inference(resolution,[],[f36722,f35876]) ).
fof(f36938,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_96 ),
inference(forward_subsumption_resolution,[],[f36924,f35245]) ).
fof(f36941,plain,
( $false
| spl111_96 ),
inference(forward_subsumption_resolution,[],[f36938,f35250]) ).
fof(f36942,plain,
spl111_96,
inference(avatar_contradiction_clause,[],[f36941]) ).
fof(f36966,plain,
( ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_104 ),
inference(resolution,[],[f36766,f35893]) ).
fof(f36985,plain,
( ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_104 ),
inference(forward_subsumption_resolution,[],[f36966,f35246]) ).
fof(f36990,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl111_104 ),
inference(forward_subsumption_resolution,[],[f36985,f35245]) ).
fof(f36996,plain,
( $false
| spl111_104 ),
inference(forward_subsumption_resolution,[],[f36990,f35250]) ).
fof(f36997,plain,
spl111_104,
inference(avatar_contradiction_clause,[],[f36996]) ).
cnf(s121,plain,
( ~ spl111_96
| ~ spl111_104 ),
inference(sat_conversion,[],[f36767]) ).
cnf(s135,plain,
spl111_96,
inference(sat_conversion,[],[f36942]) ).
cnf(s138,plain,
spl111_104,
inference(sat_conversion,[],[f36997]) ).
cnf(s141,plain,
$false,
inference(rat,[],[s121,s138,s135]) ).
fof(f37000,plain,
$false,
inference(avatar_sat_refutation,[],[s141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP027+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n009.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 18:53:52 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.72/3.97 % (3350394)Detected formulas, will run a generic FOF schedule.
% 8.72/3.97 % (3350403)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3186751406:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 8.72/3.97 % (3350402)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=6398791:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 8.72/3.97 % (3350401)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=2978816912:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 8.72/3.97 % (3350399)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=3910892116:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 8.72/3.97 % (3350400)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=4248637742:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 8.72/3.97 % (3350405)dis-21_1_sil=8000:lcm=predicate:random_seed=4266721857:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2978 on theBenchmark for (2978ds/129Mi)
% 8.72/3.97 % (3350403)Instruction limit reached!
% 8.72/3.97 % (3350403)------------------------------
% 8.72/3.97 % (3350403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350403)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350403)Termination reason: Instruction limit
% 8.72/3.97 % (3350403)Termination phase: SInE selection
% 8.72/3.97 % (3350403)Time elapsed: 0.053 s
% 8.72/3.97 % (3350403)Peak memory usage: 135 MB
% 8.72/3.97 % (3350403)Instructions burned: 120 (million)
% 8.72/3.97 % (3350404)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1892426863:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 8.72/3.97 % (3350402)Instruction limit reached!
% 8.72/3.97 % (3350402)------------------------------
% 8.72/3.97 % (3350402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350402)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350402)Termination reason: Instruction limit
% 8.72/3.97 % (3350402)Termination phase: SInE selection
% 8.72/3.97 % (3350402)Time elapsed: 0.083 s
% 8.72/3.97 % (3350402)Peak memory usage: 135 MB
% 8.72/3.97 % (3350402)Instructions burned: 110 (million)
% 8.72/3.97 % (3350404)Instruction limit reached!
% 8.72/3.97 % (3350404)------------------------------
% 8.72/3.97 % (3350404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350404)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350404)Termination reason: Instruction limit
% 8.72/3.97 % (3350404)Termination phase: Property scanning
% 8.72/3.97 % (3350404)Time elapsed: 0.068 s
% 8.72/3.97 % (3350404)Peak memory usage: 136 MB
% 8.72/3.97 % (3350404)Instructions burned: 140 (million)
% 8.72/3.97 % (3350405)Instruction limit reached!
% 8.72/3.97 % (3350405)------------------------------
% 8.72/3.97 % (3350405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350405)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350405)Termination reason: Instruction limit
% 8.72/3.97 % (3350405)Termination phase: SInE selection
% 8.72/3.97 % (3350405)Time elapsed: 0.087 s
% 8.72/3.97 % (3350405)Peak memory usage: 136 MB
% 8.72/3.97 % (3350405)Instructions burned: 130 (million)
% 8.72/3.97 % (3350413)lrs+10_1_sil=8000:sp=occurrence:random_seed=986159262:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 8.72/3.97 % (3350415)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1006778202:i=325:sd=1:ss=axioms:sgt=32_2976 on theBenchmark for (2976ds/325Mi)
% 8.72/3.97 % (3350414)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1374665624:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 8.72/3.97 % (3350416)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=3024876221:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 8.72/3.97 % (3350413)Instruction limit reached!
% 8.72/3.97 % (3350413)------------------------------
% 8.72/3.97 % (3350413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350413)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350413)Termination reason: Instruction limit
% 8.72/3.97 % (3350413)Termination phase: Preprocessing 3
% 8.72/3.97 % (3350413)Time elapsed: 0.135 s
% 8.72/3.97 % (3350413)Peak memory usage: 140 MB
% 8.72/3.97 % (3350413)Instructions burned: 288 (million)
% 8.72/3.97 % (3350414)Instruction limit reached!
% 8.72/3.97 % (3350414)------------------------------
% 8.72/3.97 % (3350414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350414)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350414)Termination reason: Instruction limit
% 8.72/3.97 % (3350414)Termination phase: Property scanning
% 8.72/3.97 % (3350414)Time elapsed: 0.070 s
% 8.72/3.97 % (3350414)Peak memory usage: 135 MB
% 8.72/3.97 % (3350414)Instructions burned: 157 (million)
% 8.72/3.97 % (3350416)Instruction limit reached!
% 8.72/3.97 % (3350416)------------------------------
% 8.72/3.97 % (3350416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350416)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350416)Termination reason: Instruction limit
% 8.72/3.97 % (3350416)Termination phase: Property scanning
% 8.72/3.97 % (3350416)Time elapsed: 0.108 s
% 8.72/3.97 % (3350416)Peak memory usage: 135 MB
% 8.72/3.97 % (3350416)Instructions burned: 248 (million)
% 8.72/3.97 % (3350421)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3675242578:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2974 on theBenchmark for (2974ds/294Mi)
% 8.72/3.97 % (3350422)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2081901161:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 8.72/3.97 % (3350421)Instruction limit reached!
% 8.72/3.97 % (3350421)------------------------------
% 8.72/3.97 % (3350421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350421)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350421)Termination reason: Instruction limit
% 8.72/3.97 % (3350421)Termination phase: SInE selection
% 8.72/3.97 % (3350421)Time elapsed: 0.106 s
% 8.72/3.97 % (3350421)Peak memory usage: 136 MB
% 8.72/3.97 % (3350421)Instructions burned: 296 (million)
% 8.72/3.97 % (3350424)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2648784834:cts=off:i=113:fsr=off:ss=included:sgt=4_2973 on theBenchmark for (2973ds/113Mi)
% 8.72/3.97 % (3350415)Instruction limit reached!
% 8.72/3.97 % (3350415)------------------------------
% 8.72/3.97 % (3350415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350415)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350415)Termination reason: Instruction limit
% 8.72/3.97 % (3350415)Termination phase: Saturation
% 8.72/3.97 % (3350415)Time elapsed: 0.256 s
% 8.72/3.97 % (3350415)Peak memory usage: 141 MB
% 8.72/3.97 % (3350415)Instructions burned: 326 (million)
% 8.72/3.97 % (3350426)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1862852780:i=127:av=off:fsr=off:sup=off_2972 on theBenchmark for (2972ds/127Mi)
% 8.72/3.97 % (3350424)Instruction limit reached!
% 8.72/3.97 % (3350424)------------------------------
% 8.72/3.97 % (3350424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350424)CaDiCaL version: 2.1.3
% 8.72/3.97 % (3350424)Termination reason: Instruction limit
% 8.72/3.97 % (3350424)Termination phase: SInE selection
% 8.72/3.97 % (3350424)Time elapsed: 0.087 s
% 8.72/3.97 % (3350424)Peak memory usage: 135 MB
% 8.72/3.97 % (3350424)Instructions burned: 114 (million)
% 8.72/3.97 % (3350426)Instruction limit reached!
% 8.72/3.97 % (3350426)------------------------------
% 8.72/3.97 % (3350426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.72/3.97 % (3350426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.72/3.97 % (3350426)CaDiCaL version: 2.1.3
% 0.21/4.21 % (3350426)Termination reason: Instruction limit
% 0.21/4.21 % (3350426)Termination phase: Preprocessing 1
% 0.21/4.21 % (3350426)Time elapsed: 0.056 s
% 0.21/4.21 % (3350426)Peak memory usage: 137 MB
% 0.21/4.21 % (3350426)Instructions burned: 128 (million)
% 0.21/4.21 % (3350428)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2776562519:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 0.21/4.21 % (3350428)Instruction limit reached!
% 0.21/4.21 % (3350428)------------------------------
% 0.21/4.21 % (3350428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/4.21 % (3350428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/4.21 % (3350428)CaDiCaL version: 2.1.3
% 0.21/4.21 % (3350428)Termination reason: Instruction limit
% 0.21/4.21 % (3350428)Termination phase: Property scanning
% 0.21/4.21 % (3350428)Time elapsed: 0.053 s
% 0.21/4.21 % (3350428)Peak memory usage: 136 MB
% 0.21/4.21 % (3350428)Instructions burned: 115 (million)
% 0.21/4.21 % (3350431)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2811280223:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 0.21/4.21 % (3350430)lrs+10_1_sil=8000:sp=occurrence:random_seed=3875790130:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 0.21/4.21 % (3350433)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3330897489:i=5202:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/5202Mi)
% 0.21/4.21 % (3350431)First to succeed.
% 0.21/4.21 % (3350431)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3350394"
% 0.21/4.21 % (3350431)Refutation found. Thanks to Tanya!
% 0.21/4.21 % SZS status Theorem for theBenchmark
% 0.21/4.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/4.21 % (3350431)------------------------------
% 0.21/4.21 % (3350431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/4.21 % (3350431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/4.21 % (3350431)CaDiCaL version: 2.1.3
% 0.21/4.21 % (3350431)Termination reason: Refutation
% 0.21/4.21 % (3350431)Time elapsed: 0.138 s
% 0.21/4.21 % (3350431)Peak memory usage: 143 MB
% 0.21/4.21 % (3350431)Instructions burned: 317 (million)
% 0.21/4.21 % (3350431)------------------------------
% 0.21/4.21 % (3350431)------------------------------
% 0.21/4.21 % (3350394)Success in time 3.317 s
% 0.21/4.21 % Vampire exiting
%------------------------------------------------------------------------------