%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT287+2 : 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 : n017.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 11:46:32 AM UTC 2026
% Result : Theorem 7.29s 2.52s
% Output : Refutation 10.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 14 unt; 4 def)
% Number of atoms : 215 ( 4 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 236 ( 92 ~; 107 |; 23 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 0 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f471,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f556,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(f6387,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(f6409,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ~ v1_xboole_0(k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
fof(f6418,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_lopclset) ).
fof(f6425,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_lopclset) ).
fof(f6428,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_lopclset) ).
fof(f6429,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0))) ),
inference(negated_conjecture,[status(cth)],[f6428]) ).
fof(f6484,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6387]) ).
fof(f6485,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6484]) ).
fof(f6526,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6409]) ).
fof(f6527,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6526]) ).
fof(f6542,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6418]) ).
fof(f6543,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6542]) ).
fof(f6556,plain,
! [X0] :
( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6425]) ).
fof(f6557,plain,
! [X0] :
( u1_struct_0(k6_lopclset(X0)) = k1_lopclset(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f6556]) ).
fof(f6562,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6429]) ).
fof(f6563,plain,
? [X0] :
( ~ m1_subset_1(k1_pre_topc(X0),u1_struct_0(k6_lopclset(X0)))
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f6562]) ).
fof(f6607,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f556]) ).
fof(f6608,plain,
! [X0,X1] :
( ! [X2] :
( m2_subset_1(X2,X0,X1)
<=> m1_subset_1(X2,X1) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f6607]) ).
fof(f6819,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
& ~ v3_struct_0(sK5)
& v2_pre_topc(sK5)
& l1_pre_topc(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f6563]) ).
fof(f6850,plain,
! [X0,X1] :
( ! [X2] :
( ( m2_subset_1(X2,X0,X1)
| ~ m1_subset_1(X2,X1) )
& ( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1) ) )
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f6608]) ).
fof(f6938,plain,
! [X0] :
( m1_subset_1(k1_lopclset(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6485]) ).
fof(f6971,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6527]) ).
fof(f6985,plain,
! [X0] :
( m2_subset_1(k1_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6543]) ).
fof(f6994,plain,
! [X0] :
( k1_lopclset(X0) = u1_struct_0(k6_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f6557]) ).
fof(f6997,plain,
l1_pre_topc(sK5),
inference(cnf_transformation,[],[f6819]) ).
fof(f6998,plain,
v2_pre_topc(sK5),
inference(cnf_transformation,[],[f6819]) ).
fof(f6999,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f6819]) ).
fof(f7000,plain,
~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))),
inference(cnf_transformation,[],[f6819]) ).
fof(f7033,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f471]) ).
fof(f7072,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,X1)
| ~ m2_subset_1(X2,X0,X1)
| v1_xboole_0(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f6850]) ).
fof(f7441,definition,
( spl90_1
<=> v3_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).
fof(f7443,plain,
( ~ v3_struct_0(sK5)
| spl90_1 ),
inference(avatar_component_clause,[],[f7441]) ).
fof(f7444,plain,
~ spl90_1,
inference(avatar_split_clause,[],[f6999,f7441]) ).
fof(f7446,definition,
( spl90_2
<=> m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))) ),
introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).
fof(f7448,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
| spl90_2 ),
inference(avatar_component_clause,[],[f7446]) ).
fof(f7449,plain,
~ spl90_2,
inference(avatar_split_clause,[],[f7000,f7446]) ).
fof(f7459,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| v3_struct_0(sK5)
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl90_2 ),
inference(superposition,[],[f7448,f6994]) ).
fof(f7460,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl90_1
| spl90_2 ),
inference(forward_subsumption_resolution,[],[f7459,f7443]) ).
fof(f7464,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl90_1
| spl90_2 ),
inference(forward_subsumption_resolution,[],[f7460,f6998]) ).
fof(f7465,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| spl90_1
| spl90_2 ),
inference(forward_subsumption_resolution,[],[f7464,f6997]) ).
fof(f7470,plain,
( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| ~ l1_pre_topc(sK5)
| spl90_1 ),
inference(resolution,[],[f7443,f6938]) ).
fof(f7501,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl90_1 ),
inference(resolution,[],[f7443,f6971]) ).
fof(f7511,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl90_1 ),
inference(resolution,[],[f7443,f6985]) ).
fof(f7652,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl90_1 ),
inference(forward_subsumption_resolution,[],[f7511,f6998]) ).
fof(f7662,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl90_1 ),
inference(forward_subsumption_resolution,[],[f7501,f6998]) ).
fof(f7679,plain,
( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl90_1 ),
inference(forward_subsumption_resolution,[],[f7470,f6997]) ).
fof(f7711,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| spl90_1 ),
inference(forward_subsumption_resolution,[],[f7652,f6997]) ).
fof(f7721,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| spl90_1 ),
inference(forward_subsumption_resolution,[],[f7662,f6997]) ).
fof(f8070,definition,
( spl90_5
<=> m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5)) ),
introduced(definition,[new_symbols(definition,[spl90_5])],[avatar_definition]) ).
fof(f8072,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| spl90_5 ),
inference(avatar_component_clause,[],[f8070]) ).
fof(f8073,plain,
( ~ spl90_5
| spl90_1
| spl90_2 ),
inference(avatar_split_clause,[],[f7465,f7446,f7441,f8070]) ).
fof(f10254,definition,
( spl90_22
<=> m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5)) ),
introduced(definition,[new_symbols(definition,[spl90_22])],[avatar_definition]) ).
fof(f10256,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| ~ spl90_22 ),
inference(avatar_component_clause,[],[f10254]) ).
fof(f10257,plain,
( spl90_22
| spl90_1 ),
inference(avatar_split_clause,[],[f7711,f7441,f10254]) ).
fof(f10268,plain,
( m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5)))
| v1_xboole_0(k1_lopclset(sK5))
| ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| ~ spl90_22 ),
inference(resolution,[],[f10256,f7072]) ).
fof(f10276,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK5)))
| v1_xboole_0(k1_lopclset(sK5))
| ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl90_5
| ~ spl90_22 ),
inference(forward_subsumption_resolution,[],[f10268,f8072]) ).
fof(f10287,plain,
( v1_xboole_0(k1_lopclset(sK5))
| ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl90_5
| ~ spl90_22 ),
inference(forward_subsumption_resolution,[],[f10276,f7033]) ).
fof(f10298,plain,
( ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl90_1
| spl90_5
| ~ spl90_22 ),
inference(forward_subsumption_resolution,[],[f10287,f7721]) ).
fof(f10309,plain,
( $false
| spl90_1
| spl90_5
| ~ spl90_22 ),
inference(forward_subsumption_resolution,[],[f10298,f7679]) ).
fof(f10310,plain,
( spl90_1
| spl90_5
| ~ spl90_22 ),
inference(avatar_contradiction_clause,[],[f10309]) ).
cnf(s1,plain,
~ spl90_1,
inference(sat_conversion,[],[f7444]) ).
cnf(s2,plain,
~ spl90_2,
inference(sat_conversion,[],[f7449]) ).
cnf(s5,plain,
( spl90_1
| spl90_2
| ~ spl90_5 ),
inference(sat_conversion,[],[f8073]) ).
cnf(s22,plain,
( spl90_1
| spl90_22 ),
inference(sat_conversion,[],[f10257]) ).
cnf(s23,plain,
( spl90_1
| spl90_5
| ~ spl90_22 ),
inference(sat_conversion,[],[f10310]) ).
cnf(s32,plain,
spl90_22,
inference(rat,[],[s22,s1]) ).
cnf(s41,plain,
~ spl90_5,
inference(rat,[],[s5,s2,s1]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s23,s1,s32,s41]) ).
fof(f10339,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT287+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 14:10:50 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 7.29/2.52 % (2590136)Detected formulas, will run a generic FOF schedule.
% 7.29/2.52 % (2590141)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=2640673027:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 7.29/2.52 % (2590146)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1325253927:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 7.29/2.52 % (2590147)dis-21_1_sil=8000:lcm=predicate:random_seed=3623624981: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)
% 7.29/2.52 % (2590142)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=3186743794:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 7.29/2.52 % (2590145)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2182977391:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 7.29/2.52 % (2590144)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1476250283:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 7.29/2.52 % (2590143)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=1378393287:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 7.29/2.52 % (2590144)Refutation not found, incomplete strategy
% 7.29/2.52 % (2590144)------------------------------
% 7.29/2.52 % (2590144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590144)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590144)Termination reason: Refutation not found, incomplete strategy
% 7.29/2.52 % (2590144)Time elapsed: 0.027 s
% 7.29/2.52 % (2590144)Peak memory usage: 95 MB
% 7.29/2.52 % (2590144)Instructions burned: 33 (million)
% 7.29/2.52 % (2590145)Instruction limit reached!
% 7.29/2.52 % (2590145)------------------------------
% 7.29/2.52 % (2590145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590145)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590145)Termination reason: Instruction limit
% 7.29/2.52 % (2590145)Termination phase: Saturation
% 7.29/2.52 % (2590145)Time elapsed: 0.077 s
% 7.29/2.52 % (2590145)Peak memory usage: 97 MB
% 7.29/2.52 % (2590145)Instructions burned: 120 (million)
% 7.29/2.52 % (2590146)Instruction limit reached!
% 7.29/2.52 % (2590146)------------------------------
% 7.29/2.52 % (2590146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590146)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590146)Termination reason: Instruction limit
% 7.29/2.52 % (2590146)Termination phase: Preprocessing 1
% 7.29/2.52 % (2590146)Time elapsed: 0.084 s
% 7.29/2.52 % (2590146)Peak memory usage: 92 MB
% 7.29/2.52 % (2590146)Instructions burned: 139 (million)
% 7.29/2.52 % (2590147)Instruction limit reached!
% 7.29/2.52 % (2590147)------------------------------
% 7.29/2.52 % (2590147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590147)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590147)Termination reason: Instruction limit
% 7.29/2.52 % (2590147)Termination phase: Preprocessing 3
% 7.29/2.52 % (2590147)Time elapsed: 0.099 s
% 7.29/2.52 % (2590147)Peak memory usage: 97 MB
% 7.29/2.52 % (2590147)Instructions burned: 130 (million)
% 7.29/2.52 % (2590155)lrs+10_1_sil=8000:sp=occurrence:random_seed=2063074697:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 7.29/2.52 % (2590156)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2621160238:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 7.29/2.52 % (2590157)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4151098292:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 7.29/2.52 % (2590144)------------------------------
% 7.29/2.52 % (2590144)------------------------------
% 7.29/2.52 % (2590157)Refutation not found, incomplete strategy
% 7.29/2.52 % (2590157)------------------------------
% 7.29/2.52 % (2590157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590157)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590157)Termination reason: Refutation not found, incomplete strategy
% 7.29/2.52 % (2590157)Time elapsed: 0.028 s
% 7.29/2.52 % (2590157)Peak memory usage: 96 MB
% 7.29/2.52 % (2590157)Instructions burned: 32 (million)
% 7.29/2.52 % (2590156)Refutation not found, incomplete strategy
% 7.29/2.52 % (2590156)------------------------------
% 7.29/2.52 % (2590156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590156)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590156)Termination reason: Refutation not found, incomplete strategy
% 7.29/2.52 % (2590156)Time elapsed: 0.058 s
% 7.29/2.52 % (2590156)Peak memory usage: 96 MB
% 7.29/2.52 % (2590156)Instructions burned: 107 (million)
% 7.29/2.52 % (2590155)Instruction limit reached!
% 7.29/2.52 % (2590155)------------------------------
% 7.29/2.52 % (2590155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590155)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590155)Termination reason: Instruction limit
% 7.29/2.52 % (2590155)Termination phase: Saturation
% 7.29/2.52 % (2590155)Time elapsed: 0.191 s
% 7.29/2.52 % (2590155)Peak memory usage: 100 MB
% 7.29/2.52 % (2590155)Instructions burned: 285 (million)
% 7.29/2.52 % (2590161)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=3460360452:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 7.29/2.52 % (2590157)------------------------------
% 7.29/2.52 % (2590157)------------------------------
% 7.29/2.52 % (2590156)------------------------------
% 7.29/2.52 % (2590156)------------------------------
% 7.29/2.52 % (2590161)Instruction limit reached!
% 7.29/2.52 % (2590161)------------------------------
% 7.29/2.52 % (2590161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590161)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590161)Termination reason: Instruction limit
% 7.29/2.52 % (2590161)Termination phase: Preprocessing 3
% 7.29/2.52 % (2590161)Time elapsed: 0.098 s
% 7.29/2.52 % (2590161)Peak memory usage: 100 MB
% 7.29/2.52 % (2590161)Instructions burned: 248 (million)
% 7.29/2.52 % (2590162)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4150976276:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 7.29/2.52 % (2590166)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1689162029:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 7.29/2.52 % (2590164)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2404638590:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 7.29/2.52 % (2590165)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3481108894:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 7.29/2.52 % (2590166)Instruction limit reached!
% 7.29/2.52 % (2590166)------------------------------
% 7.29/2.52 % (2590166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590166)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590166)Termination reason: Instruction limit
% 7.29/2.52 % (2590166)Termination phase: Preprocessing 3
% 7.29/2.52 % (2590166)Time elapsed: 0.053 s
% 7.29/2.52 % (2590166)Peak memory usage: 100 MB
% 7.29/2.52 % (2590166)Instructions burned: 128 (million)
% 7.29/2.52 % (2590162)Instruction limit reached!
% 7.29/2.52 % (2590162)------------------------------
% 7.29/2.52 % (2590162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590162)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590162)Termination reason: Instruction limit
% 7.29/2.52 % (2590162)Termination phase: Saturation
% 7.29/2.52 % (2590162)Time elapsed: 0.184 s
% 7.29/2.52 % (2590162)Peak memory usage: 99 MB
% 7.29/2.52 % (2590162)Instructions burned: 295 (million)
% 7.29/2.52 % (2590165)Instruction limit reached!
% 7.29/2.52 % (2590165)------------------------------
% 7.29/2.52 % (2590165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590165)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590165)Termination reason: Instruction limit
% 7.29/2.52 % (2590165)Termination phase: Function definition elimination
% 7.29/2.52 % (2590165)Time elapsed: 0.082 s
% 7.29/2.52 % (2590165)Peak memory usage: 96 MB
% 7.29/2.52 % (2590165)Instructions burned: 113 (million)
% 7.29/2.52 % (2590171)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2688911796:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 7.29/2.52 % (2590171)Instruction limit reached!
% 7.29/2.52 % (2590171)------------------------------
% 7.29/2.52 % (2590171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590171)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590171)Termination reason: Instruction limit
% 7.29/2.52 % (2590171)Termination phase: Property scanning
% 7.29/2.52 % (2590171)Time elapsed: 0.027 s
% 7.29/2.52 % (2590171)Peak memory usage: 92 MB
% 7.29/2.52 % (2590171)Instructions burned: 115 (million)
% 7.29/2.52 % (2590143)First to succeed.
% 7.29/2.52 % (2590172)lrs+10_1_sil=8000:sp=occurrence:random_seed=1186063436:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 7.29/2.52 % (2590173)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3598852163:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 7.29/2.52 % (2590143)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2590136"
% 7.29/2.52 % (2590173)Refutation not found, incomplete strategy
% 7.29/2.52 % (2590173)------------------------------
% 7.29/2.52 % (2590173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.29/2.52 % (2590173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/2.52 % (2590173)CaDiCaL version: 2.1.3
% 7.29/2.52 % (2590173)Termination reason: Refutation not found, incomplete strategy
% 7.29/2.52 % (2590173)Time elapsed: 0.047 s
% 7.29/2.52 % (2590173)Peak memory usage: 97 MB
% 7.29/2.52 % (2590173)Instructions burned: 62 (million)
% 7.29/2.52 % (2590175)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3149054069:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 7.29/2.52 % (2590143)Refutation found. Thanks to Tanya!
% 7.29/2.52 % SZS status Theorem for theBenchmark
% 7.29/2.52 % SZS output start Proof for theBenchmark
% See solution above
% 10.67/2.72 % (2590143)------------------------------
% 10.67/2.72 % (2590143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/2.72 % (2590143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/2.72 % (2590143)CaDiCaL version: 2.1.3
% 10.67/2.72 % (2590143)Termination reason: Refutation
% 10.67/2.72 % (2590143)Time elapsed: 0.941 s
% 10.67/2.72 % (2590143)Peak memory usage: 143 MB
% 10.67/2.72 % (2590143)Instructions burned: 1447 (million)
% 10.67/2.72 % (2590143)------------------------------
% 10.67/2.72 % (2590143)------------------------------
% 10.67/2.72 % (2590136)Success in time 1.663 s
% 10.67/2.72 % Vampire exiting
%------------------------------------------------------------------------------