%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP026+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 : n014.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 02:33:54 PM UTC 2026
% Result : Theorem 13.12s 4.39s
% Output : Refutation 13.89s
% 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(f18328,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f18333,axiom,
! [X0,X1] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f34385,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)))
=> ( v4_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',t5_tsp_2) ).
fof(f34387,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)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(f34388,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)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f34387]) ).
fof(f34465,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_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,[],[f34385]) ).
fof(f34466,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_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,[],[f34465]) ).
fof(f34469,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(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,[],[f34388]) ).
fof(f34470,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(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,[],[f34469]) ).
fof(f34808,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(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,[],[f18333]) ).
fof(f34809,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f34808]) ).
fof(f34900,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f18328]) ).
fof(f34901,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f34900]) ).
fof(f34944,plain,
( k6_pre_topc(sK20,sK22) != k3_tex_4(sK20,k5_subset_1(u1_struct_0(sK20),sK21,k6_pre_topc(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)],[f34470]) ).
fof(f35160,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v4_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,[],[f34466]) ).
fof(f35162,plain,
l1_pre_topc(sK20),
inference(cnf_transformation,[],[f34944]) ).
fof(f35163,plain,
v2_pre_topc(sK20),
inference(cnf_transformation,[],[f34944]) ).
fof(f35164,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f34944]) ).
fof(f35165,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f34944]) ).
fof(f35166,plain,
v1_tsp_2(sK21,sK20),
inference(cnf_transformation,[],[f34944]) ).
fof(f35167,plain,
m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f34944]) ).
fof(f35168,plain,
k6_pre_topc(sK20,sK22) != k3_tex_4(sK20,k5_subset_1(u1_struct_0(sK20),sK21,k6_pre_topc(sK20,sK22))),
inference(cnf_transformation,[],[f34944]) ).
fof(f35607,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(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,[],[f34809]) ).
fof(f35755,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f34901]) ).
fof(f36552,plain,
( k6_pre_topc(sK20,sK22) != k6_pre_topc(sK20,sK22)
| ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(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,[],[f35168,f35160]) ).
fof(f36556,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(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,[],[f36552]) ).
fof(f36561,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(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,[],[f36556,f35166]) ).
fof(f36571,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(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,[],[f36561,f35165]) ).
fof(f36574,definition,
( spl110_93
<=> m1_subset_1(k6_pre_topc(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20))) ),
introduced(definition,[new_symbols(definition,[spl110_93])],[avatar_definition]) ).
fof(f36575,plain,
( ~ m1_subset_1(k6_pre_topc(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_93 ),
inference(avatar_component_clause,[],[f36574]) ).
fof(f36593,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36571,f35164]) ).
fof(f36611,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20)))
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f36593,f35163]) ).
fof(f36614,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| ~ m1_subset_1(k6_pre_topc(sK20,sK22),k1_zfmisc_1(u1_struct_0(sK20))) ),
inference(forward_subsumption_resolution,[],[f36611,f35162]) ).
fof(f36617,definition,
( spl110_101
<=> v4_pre_topc(k6_pre_topc(sK20,sK22),sK20) ),
introduced(definition,[new_symbols(definition,[spl110_101])],[avatar_definition]) ).
fof(f36618,plain,
( ~ v4_pre_topc(k6_pre_topc(sK20,sK22),sK20)
| spl110_101 ),
inference(avatar_component_clause,[],[f36617]) ).
fof(f36619,plain,
( ~ spl110_93
| ~ spl110_101 ),
inference(avatar_split_clause,[],[f36614,f36617,f36574]) ).
fof(f36780,plain,
( ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_93 ),
inference(resolution,[],[f36575,f35755]) ).
fof(f36797,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_93 ),
inference(forward_subsumption_resolution,[],[f36780,f35162]) ).
fof(f36802,plain,
( $false
| spl110_93 ),
inference(forward_subsumption_resolution,[],[f36797,f35167]) ).
fof(f36803,plain,
spl110_93,
inference(avatar_contradiction_clause,[],[f36802]) ).
fof(f36813,plain,
( ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_101 ),
inference(resolution,[],[f36618,f35607]) ).
fof(f36825,plain,
( ~ l1_pre_topc(sK20)
| ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_101 ),
inference(forward_subsumption_resolution,[],[f36813,f35163]) ).
fof(f36831,plain,
( ~ m1_subset_1(sK22,k1_zfmisc_1(u1_struct_0(sK20)))
| spl110_101 ),
inference(forward_subsumption_resolution,[],[f36825,f35162]) ).
fof(f36836,plain,
( $false
| spl110_101 ),
inference(forward_subsumption_resolution,[],[f36831,f35167]) ).
fof(f36837,plain,
spl110_101,
inference(avatar_contradiction_clause,[],[f36836]) ).
cnf(s119,plain,
( ~ spl110_93
| ~ spl110_101 ),
inference(sat_conversion,[],[f36619]) ).
cnf(s134,plain,
spl110_93,
inference(sat_conversion,[],[f36803]) ).
cnf(s135,plain,
spl110_101,
inference(sat_conversion,[],[f36837]) ).
cnf(s140,plain,
$false,
inference(rat,[],[s119,s135,s134]) ).
fof(f36842,plain,
$false,
inference(avatar_sat_refutation,[],[s140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP026+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 18:52:24 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 13.12/4.39 % (2065026)Detected formulas, will run a generic FOF schedule.
% 13.12/4.39 % (2065031)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=1868300443:i=141193_2978 on theBenchmark for (2978ds/141193Mi)
% 13.12/4.39 % (2065032)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=2893294742:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2978 on theBenchmark for (2978ds/134677Mi)
% 13.12/4.39 % (2065036)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=420857955:s2a=on:i=139:gtg=position_2978 on theBenchmark for (2978ds/139Mi)
% 13.12/4.39 % (2065033)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=1010556679:i=141695:sd=1:nm=32:gsp=on:ss=included_2978 on theBenchmark for (2978ds/141695Mi)
% 13.12/4.39 % (2065034)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=433632095:i=109:sd=1:ins=1:gsp=on:ss=axioms_2978 on theBenchmark for (2978ds/109Mi)
% 13.12/4.39 % (2065035)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3670333165:i=119:av=off:ss=axioms_2978 on theBenchmark for (2978ds/119Mi)
% 13.12/4.39 % (2065037)dis-21_1_sil=8000:lcm=predicate:random_seed=1760445776: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)
% 13.12/4.39 % (2065036)Instruction limit reached!
% 13.12/4.39 % (2065036)------------------------------
% 13.12/4.39 % (2065036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065036)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065036)Termination reason: Instruction limit
% 13.12/4.39 % (2065036)Termination phase: Property scanning
% 13.12/4.39 % (2065036)Time elapsed: 0.065 s
% 13.12/4.39 % (2065036)Peak memory usage: 136 MB
% 13.12/4.39 % (2065036)Instructions burned: 140 (million)
% 13.12/4.39 % (2065034)Instruction limit reached!
% 13.12/4.39 % (2065034)------------------------------
% 13.12/4.39 % (2065034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065034)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065034)Termination reason: Instruction limit
% 13.12/4.39 % (2065034)Termination phase: SInE selection
% 13.12/4.39 % (2065034)Time elapsed: 0.082 s
% 13.12/4.39 % (2065034)Peak memory usage: 135 MB
% 13.12/4.39 % (2065034)Instructions burned: 110 (million)
% 13.12/4.39 % (2065035)Instruction limit reached!
% 13.12/4.39 % (2065035)------------------------------
% 13.12/4.39 % (2065035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065035)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065035)Termination reason: Instruction limit
% 13.12/4.39 % (2065035)Termination phase: SInE selection
% 13.12/4.39 % (2065035)Time elapsed: 0.083 s
% 13.12/4.39 % (2065035)Peak memory usage: 135 MB
% 13.12/4.39 % (2065035)Instructions burned: 119 (million)
% 13.12/4.39 % (2065037)Instruction limit reached!
% 13.12/4.39 % (2065037)------------------------------
% 13.12/4.39 % (2065037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065037)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065037)Termination reason: Instruction limit
% 13.12/4.39 % (2065037)Termination phase: SInE selection
% 13.12/4.39 % (2065037)Time elapsed: 0.095 s
% 13.12/4.39 % (2065037)Peak memory usage: 136 MB
% 13.12/4.39 % (2065037)Instructions burned: 131 (million)
% 13.12/4.39 % (2065045)lrs+10_1_sil=8000:sp=occurrence:random_seed=757253019:i=285:sd=3:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/285Mi)
% 13.12/4.39 % (2065046)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1555612598:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/157Mi)
% 13.12/4.39 % (2065047)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1785322984:i=325:sd=1:ss=axioms:sgt=32_2975 on theBenchmark for (2975ds/325Mi)
% 13.12/4.39 % (2065048)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=426976312:s2a=on:i=248:s2at=1.23:gtg=position_2975 on theBenchmark for (2975ds/248Mi)
% 13.12/4.39 % (2065046)Instruction limit reached!
% 13.12/4.39 % (2065046)------------------------------
% 13.12/4.39 % (2065046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065046)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065046)Termination reason: Instruction limit
% 13.12/4.39 % (2065046)Termination phase: Property scanning
% 13.12/4.39 % (2065046)Time elapsed: 0.070 s
% 13.12/4.39 % (2065046)Peak memory usage: 136 MB
% 13.12/4.39 % (2065046)Instructions burned: 159 (million)
% 13.12/4.39 % (2065048)Instruction limit reached!
% 13.12/4.39 % (2065048)------------------------------
% 13.12/4.39 % (2065048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065048)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065048)Termination reason: Instruction limit
% 13.12/4.39 % (2065048)Termination phase: Property scanning
% 13.12/4.39 % (2065048)Time elapsed: 0.106 s
% 13.12/4.39 % (2065048)Peak memory usage: 136 MB
% 13.12/4.39 % (2065048)Instructions burned: 250 (million)
% 13.12/4.39 % (2065045)Instruction limit reached!
% 13.12/4.39 % (2065045)------------------------------
% 13.12/4.39 % (2065045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065045)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065045)Termination reason: Instruction limit
% 13.12/4.39 % (2065045)Termination phase: Preprocessing 3
% 13.12/4.39 % (2065045)Time elapsed: 0.226 s
% 13.12/4.39 % (2065045)Peak memory usage: 139 MB
% 13.12/4.39 % (2065045)Instructions burned: 285 (million)
% 13.12/4.39 % (2065053)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=564679593:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2973 on theBenchmark for (2973ds/294Mi)
% 13.12/4.39 % (2065047)Instruction limit reached!
% 13.12/4.39 % (2065047)------------------------------
% 13.12/4.39 % (2065047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065047)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065047)Termination reason: Instruction limit
% 13.12/4.39 % (2065047)Termination phase: Saturation
% 13.12/4.39 % (2065047)Time elapsed: 0.260 s
% 13.12/4.39 % (2065047)Peak memory usage: 141 MB
% 13.12/4.39 % (2065047)Instructions burned: 325 (million)
% 13.12/4.39 % (2065054)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3772097042:i=2350_2973 on theBenchmark for (2973ds/2350Mi)
% 13.12/4.39 % (2065055)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=858178907:cts=off:i=113:fsr=off:ss=included:sgt=4_2972 on theBenchmark for (2972ds/113Mi)
% 13.12/4.39 % (2065058)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=882323679:i=127:av=off:fsr=off:sup=off_2971 on theBenchmark for (2971ds/127Mi)
% 13.12/4.39 % (2065053)Instruction limit reached!
% 13.12/4.39 % (2065053)------------------------------
% 13.12/4.39 % (2065053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065053)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065053)Termination reason: Instruction limit
% 13.12/4.39 % (2065053)Termination phase: SInE selection
% 13.12/4.39 % (2065053)Time elapsed: 0.190 s
% 13.12/4.39 % (2065053)Peak memory usage: 136 MB
% 13.12/4.39 % (2065053)Instructions burned: 295 (million)
% 13.12/4.39 % (2065055)Instruction limit reached!
% 13.12/4.39 % (2065055)------------------------------
% 13.12/4.39 % (2065055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065055)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065055)Termination reason: Instruction limit
% 13.12/4.39 % (2065055)Termination phase: SInE selection
% 13.12/4.39 % (2065055)Time elapsed: 0.089 s
% 13.12/4.39 % (2065055)Peak memory usage: 135 MB
% 13.12/4.39 % (2065055)Instructions burned: 114 (million)
% 13.12/4.39 % (2065058)Instruction limit reached!
% 13.12/4.39 % (2065058)------------------------------
% 13.12/4.39 % (2065058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065058)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065058)Termination reason: Instruction limit
% 13.12/4.39 % (2065058)Termination phase: Preprocessing 1
% 13.12/4.39 % (2065058)Time elapsed: 0.097 s
% 13.12/4.39 % (2065058)Peak memory usage: 137 MB
% 13.12/4.39 % (2065058)Instructions burned: 127 (million)
% 13.12/4.39 % (2065061)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3643998365:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2970 on theBenchmark for (2970ds/114Mi)
% 13.12/4.39 % (2065062)lrs+10_1_sil=8000:sp=occurrence:random_seed=4293533934:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2970 on theBenchmark for (2970ds/907Mi)
% 13.12/4.39 % (2065061)Instruction limit reached!
% 13.12/4.39 % (2065061)------------------------------
% 13.12/4.39 % (2065061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065061)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065061)Termination reason: Instruction limit
% 13.12/4.39 % (2065061)Termination phase: Property scanning
% 13.12/4.39 % (2065061)Time elapsed: 0.052 s
% 13.12/4.39 % (2065061)Peak memory usage: 136 MB
% 13.12/4.39 % (2065061)Instructions burned: 114 (million)
% 13.12/4.39 % (2065063)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2238932388:i=437:sd=1:aac=none:ss=included_2969 on theBenchmark for (2969ds/437Mi)
% 13.12/4.39 % (2065066)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3219554944:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 13.12/4.39 % (2065063)First to succeed.
% 13.12/4.39 % (2065063)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2065026"
% 13.12/4.39 % (2065062)Instruction limit reached!
% 13.12/4.39 % (2065062)------------------------------
% 13.12/4.39 % (2065062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.12/4.39 % (2065062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.12/4.39 % (2065062)CaDiCaL version: 2.1.3
% 13.12/4.39 % (2065062)Termination reason: Instruction limit
% 13.12/4.39 % (2065062)Termination phase: Saturation
% 13.12/4.39 % (2065062)Time elapsed: 0.558 s
% 13.12/4.39 % (2065062)Peak memory usage: 151 MB
% 13.12/4.39 % (2065062)Instructions burned: 908 (million)
% 13.12/4.39 % (2065063)Refutation found. Thanks to Tanya!
% 13.12/4.39 % SZS status Theorem for theBenchmark
% 13.12/4.39 % SZS output start Proof for theBenchmark
% See solution above
% 13.89/4.62 % (2065063)------------------------------
% 13.89/4.62 % (2065063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.89/4.62 % (2065063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.89/4.62 % (2065063)CaDiCaL version: 2.1.3
% 13.89/4.62 % (2065063)Termination reason: Refutation
% 13.89/4.62 % (2065063)Time elapsed: 0.236 s
% 13.89/4.62 % (2065063)Peak memory usage: 143 MB
% 13.89/4.62 % (2065063)Instructions burned: 309 (million)
% 13.89/4.62 % (2065063)------------------------------
% 13.89/4.62 % (2065063)------------------------------
% 13.89/4.62 % (2065026)Success in time 3.732 s
% 13.89/4.62 % Vampire exiting
%------------------------------------------------------------------------------