%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT287+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 : n007.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 11:46:33 AM UTC 2026
% Result : Theorem 13.85s 4.84s
% Output : Refutation 16.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 72 ( 15 unt; 4 def)
% Number of atoms : 211 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 230 ( 91 ~; 102 |; 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(f32098,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(f32120,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(f32129,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(f32136,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(f32139,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(f32140,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)],[f32139]) ).
fof(f32201,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,[],[f32098]) ).
fof(f32202,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,[],[f32201]) ).
fof(f32243,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f32120]) ).
fof(f32244,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f32243]) ).
fof(f32259,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,[],[f32129]) ).
fof(f32260,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,[],[f32259]) ).
fof(f32273,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,[],[f32136]) ).
fof(f32274,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,[],[f32273]) ).
fof(f32279,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,[],[f32140]) ).
fof(f32280,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,[],[f32279]) ).
fof(f32376,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(f32377,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,[],[f32376]) ).
fof(f32649,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)],[f32280]) ).
fof(f32699,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,[],[f32377]) ).
fof(f32802,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,[],[f32202]) ).
fof(f32836,plain,
! [X0] :
( ~ v1_xboole_0(k1_lopclset(X0))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f32244]) ).
fof(f32850,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,[],[f32260]) ).
fof(f32859,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,[],[f32274]) ).
fof(f32862,plain,
l1_pre_topc(sK5),
inference(cnf_transformation,[],[f32649]) ).
fof(f32863,plain,
v2_pre_topc(sK5),
inference(cnf_transformation,[],[f32649]) ).
fof(f32864,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f32649]) ).
fof(f32865,plain,
~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))),
inference(cnf_transformation,[],[f32649]) ).
fof(f32897,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f471]) ).
fof(f32993,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,[],[f32699]) ).
fof(f33522,definition,
( spl121_1
<=> m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5))) ),
introduced(definition,[new_symbols(definition,[spl121_1])],[avatar_definition]) ).
fof(f33524,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),u1_struct_0(k6_lopclset(sK5)))
| spl121_1 ),
inference(avatar_component_clause,[],[f33522]) ).
fof(f33525,plain,
~ spl121_1,
inference(avatar_split_clause,[],[f32865,f33522]) ).
fof(f33535,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| v3_struct_0(sK5)
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl121_1 ),
inference(superposition,[],[f33524,f32859]) ).
fof(f33537,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl121_1 ),
inference(forward_subsumption_resolution,[],[f33535,f32864]) ).
fof(f33542,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl121_1 ),
inference(forward_subsumption_resolution,[],[f33537,f32863]) ).
fof(f33543,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| spl121_1 ),
inference(forward_subsumption_resolution,[],[f33542,f32862]) ).
fof(f33545,definition,
( spl121_2
<=> v3_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl121_2])],[avatar_definition]) ).
fof(f33547,plain,
( ~ v3_struct_0(sK5)
| spl121_2 ),
inference(avatar_component_clause,[],[f33545]) ).
fof(f33548,plain,
~ spl121_2,
inference(avatar_split_clause,[],[f32864,f33545]) ).
fof(f33553,plain,
( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| ~ l1_pre_topc(sK5)
| spl121_2 ),
inference(resolution,[],[f33547,f32802]) ).
fof(f33585,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| ~ v2_pre_topc(sK5)
| ~ l1_pre_topc(sK5)
| spl121_2 ),
inference(resolution,[],[f33547,f32836]) ).
fof(f33595,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)
| spl121_2 ),
inference(resolution,[],[f33547,f32850]) ).
fof(f33836,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl121_2 ),
inference(forward_subsumption_resolution,[],[f33595,f32863]) ).
fof(f33846,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| ~ l1_pre_topc(sK5)
| spl121_2 ),
inference(forward_subsumption_resolution,[],[f33585,f32863]) ).
fof(f33863,plain,
( m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl121_2 ),
inference(forward_subsumption_resolution,[],[f33553,f32862]) ).
fof(f33906,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| spl121_2 ),
inference(forward_subsumption_resolution,[],[f33836,f32862]) ).
fof(f33916,plain,
( ~ v1_xboole_0(k1_lopclset(sK5))
| spl121_2 ),
inference(forward_subsumption_resolution,[],[f33846,f32862]) ).
fof(f34438,definition,
( spl121_6
<=> m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5)) ),
introduced(definition,[new_symbols(definition,[spl121_6])],[avatar_definition]) ).
fof(f34440,plain,
( ~ m1_subset_1(k1_pre_topc(sK5),k1_lopclset(sK5))
| spl121_6 ),
inference(avatar_component_clause,[],[f34438]) ).
fof(f34441,plain,
( ~ spl121_6
| spl121_1 ),
inference(avatar_split_clause,[],[f33543,f33522,f34438]) ).
fof(f38201,definition,
( spl121_24
<=> m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5)) ),
introduced(definition,[new_symbols(definition,[spl121_24])],[avatar_definition]) ).
fof(f38203,plain,
( m2_subset_1(k1_pre_topc(sK5),k1_zfmisc_1(u1_struct_0(sK5)),k1_lopclset(sK5))
| ~ spl121_24 ),
inference(avatar_component_clause,[],[f38201]) ).
fof(f38204,plain,
( spl121_24
| spl121_2 ),
inference(avatar_split_clause,[],[f33906,f33545,f38201]) ).
fof(f38215,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))))
| ~ spl121_24 ),
inference(resolution,[],[f38203,f32993]) ).
fof(f38221,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))))
| spl121_6
| ~ spl121_24 ),
inference(forward_subsumption_resolution,[],[f38215,f34440]) ).
fof(f38232,plain,
( v1_xboole_0(k1_lopclset(sK5))
| ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl121_6
| ~ spl121_24 ),
inference(forward_subsumption_resolution,[],[f38221,f32897]) ).
fof(f38243,plain,
( ~ m1_subset_1(k1_lopclset(sK5),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK5))))
| spl121_2
| spl121_6
| ~ spl121_24 ),
inference(forward_subsumption_resolution,[],[f38232,f33916]) ).
fof(f38254,plain,
( $false
| spl121_2
| spl121_6
| ~ spl121_24 ),
inference(forward_subsumption_resolution,[],[f38243,f33863]) ).
fof(f38255,plain,
( spl121_2
| spl121_6
| ~ spl121_24 ),
inference(avatar_contradiction_clause,[],[f38254]) ).
cnf(s1,plain,
~ spl121_1,
inference(sat_conversion,[],[f33525]) ).
cnf(s2,plain,
~ spl121_2,
inference(sat_conversion,[],[f33548]) ).
cnf(s6,plain,
( spl121_1
| ~ spl121_6 ),
inference(sat_conversion,[],[f34441]) ).
cnf(s24,plain,
( spl121_2
| spl121_24 ),
inference(sat_conversion,[],[f38204]) ).
cnf(s25,plain,
( spl121_2
| spl121_6
| ~ spl121_24 ),
inference(sat_conversion,[],[f38255]) ).
cnf(s34,plain,
spl121_24,
inference(rat,[],[s24,s2]) ).
cnf(s46,plain,
spl121_6,
inference(rat,[],[s25,s2,s34]) ).
cnf(s47,plain,
spl121_1,
inference(rat,[],[s6,s46]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s1,s47]) ).
fof(f38284,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT287+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 14:13:16 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 14.87/4.78 % (1450786)Detected formulas, will run a generic FOF schedule.
% 14.87/4.78 % (1450794)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3381602562:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 14.87/4.78 % (1450793)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=2839431602:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 14.87/4.78 % (1450792)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=2685362928:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 14.87/4.78 % (1450791)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=543624655:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 14.87/4.78 % (1450794)Instruction limit reached!
% 14.87/4.78 % (1450794)------------------------------
% 14.87/4.78 % (1450794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/4.78 % (1450794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/4.78 % (1450794)CaDiCaL version: 2.1.3
% 14.87/4.78 % (1450794)Termination reason: Instruction limit
% 14.87/4.78 % (1450794)Termination phase: SInE selection
% 14.87/4.78 % (1450794)Time elapsed: 0.048 s
% 14.87/4.78 % (1450794)Peak memory usage: 131 MB
% 14.87/4.78 % (1450794)Instructions burned: 111 (million)
% 14.87/4.78 % (1450796)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3421822093:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 14.87/4.78 % (1450795)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=216803504:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 14.87/4.78 % (1450797)dis-21_1_sil=8000:lcm=predicate:random_seed=1851009382:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 14.87/4.78 % (1450796)Instruction limit reached!
% 14.87/4.78 % (1450796)------------------------------
% 14.87/4.78 % (1450796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/4.78 % (1450796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/4.78 % (1450796)CaDiCaL version: 2.1.3
% 14.87/4.78 % (1450796)Termination reason: Instruction limit
% 14.87/4.78 % (1450796)Termination phase: Property scanning
% 14.87/4.78 % (1450796)Time elapsed: 0.063 s
% 14.87/4.78 % (1450796)Peak memory usage: 131 MB
% 14.87/4.78 % (1450796)Instructions burned: 140 (million)
% 14.87/4.78 % (1450795)Instruction limit reached!
% 14.87/4.78 % (1450795)------------------------------
% 14.87/4.78 % (1450795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/4.78 % (1450795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/4.78 % (1450795)CaDiCaL version: 2.1.3
% 14.87/4.78 % (1450795)Termination reason: Instruction limit
% 14.87/4.78 % (1450795)Termination phase: SInE selection
% 14.87/4.78 % (1450795)Time elapsed: 0.092 s
% 14.87/4.78 % (1450795)Peak memory usage: 131 MB
% 14.87/4.78 % (1450795)Instructions burned: 119 (million)
% 14.87/4.78 % (1450797)Instruction limit reached!
% 14.87/4.78 % (1450797)------------------------------
% 14.87/4.78 % (1450797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/4.78 % (1450797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/4.78 % (1450797)CaDiCaL version: 2.1.3
% 14.87/4.78 % (1450797)Termination reason: Instruction limit
% 14.87/4.78 % (1450797)Termination phase: SInE selection
% 14.87/4.78 % (1450797)Time elapsed: 0.096 s
% 14.87/4.78 % (1450797)Peak memory usage: 132 MB
% 14.87/4.78 % (1450797)Instructions burned: 131 (million)
% 14.87/4.78 % (1450804)lrs+10_1_sil=8000:sp=occurrence:random_seed=3642884718:i=285:sd=3:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/285Mi)
% 14.87/4.78 % (1450806)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2240163124:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/157Mi)
% 14.87/4.78 % (1450804)Instruction limit reached!
% 14.87/4.78 % (1450804)------------------------------
% 14.87/4.78 % (1450804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.87/4.78 % (1450804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/4.78 % (1450804)CaDiCaL version: 2.1.3
% 14.87/4.78 % (1450804)Termination reason: Instruction limit
% 13.85/4.83 % (1450804)Termination phase: Function definition elimination
% 13.85/4.83 % (1450804)Time elapsed: 0.129 s
% 13.85/4.83 % (1450804)Peak memory usage: 136 MB
% 13.85/4.83 % (1450804)Instructions burned: 286 (million)
% 13.85/4.83 % (1450807)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3724291094:i=325:sd=1:ss=axioms:sgt=32_2977 on theBenchmark for (2977ds/325Mi)
% 13.85/4.83 % (1450808)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=3345545453:s2a=on:i=248:s2at=1.23:gtg=position_2977 on theBenchmark for (2977ds/248Mi)
% 13.85/4.83 % (1450806)Instruction limit reached!
% 13.85/4.83 % (1450806)------------------------------
% 13.85/4.83 % (1450806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450806)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450806)Termination reason: Instruction limit
% 13.85/4.83 % (1450806)Termination phase: Property scanning
% 13.85/4.83 % (1450806)Time elapsed: 0.068 s
% 13.85/4.83 % (1450806)Peak memory usage: 132 MB
% 13.85/4.83 % (1450806)Instructions burned: 157 (million)
% 13.85/4.83 % (1450811)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3639454232:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2975 on theBenchmark for (2975ds/294Mi)
% 13.85/4.83 % (1450808)Instruction limit reached!
% 13.85/4.83 % (1450808)------------------------------
% 13.85/4.83 % (1450808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450808)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450808)Termination reason: Instruction limit
% 13.85/4.83 % (1450808)Termination phase: Property scanning
% 13.85/4.83 % (1450808)Time elapsed: 0.107 s
% 13.85/4.83 % (1450808)Peak memory usage: 132 MB
% 13.85/4.83 % (1450808)Instructions burned: 249 (million)
% 13.85/4.83 % (1450807)Refutation not found, incomplete strategy
% 13.85/4.83 % (1450807)------------------------------
% 13.85/4.83 % (1450807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450807)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450807)Termination reason: Refutation not found, incomplete strategy
% 13.85/4.83 % (1450807)Time elapsed: 0.174 s
% 13.85/4.83 % (1450807)Peak memory usage: 137 MB
% 13.85/4.83 % (1450807)Instructions burned: 220 (million)
% 13.85/4.83 % (1450814)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3445285527:i=2350_2975 on theBenchmark for (2975ds/2350Mi)
% 13.85/4.83 % (1450811)Instruction limit reached!
% 13.85/4.83 % (1450811)------------------------------
% 13.85/4.83 % (1450811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450811)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450811)Termination reason: Instruction limit
% 13.85/4.83 % (1450811)Termination phase: SInE selection
% 13.85/4.83 % (1450811)Time elapsed: 0.104 s
% 13.85/4.83 % (1450811)Peak memory usage: 132 MB
% 13.85/4.83 % (1450811)Instructions burned: 296 (million)
% 13.85/4.83 % (1450816)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3057076936:cts=off:i=113:fsr=off:ss=included:sgt=4_2974 on theBenchmark for (2974ds/113Mi)
% 13.85/4.83 % (1450818)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=847836005:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 13.85/4.83 % (1450816)Instruction limit reached!
% 13.85/4.83 % (1450816)------------------------------
% 13.85/4.83 % (1450816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450816)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450816)Termination reason: Instruction limit
% 13.85/4.83 % (1450816)Termination phase: SInE selection
% 13.85/4.83 % (1450816)Time elapsed: 0.086 s
% 13.85/4.83 % (1450816)Peak memory usage: 131 MB
% 13.85/4.83 % (1450816)Instructions burned: 114 (million)
% 13.85/4.83 % (1450818)Instruction limit reached!
% 13.85/4.83 % (1450818)------------------------------
% 13.85/4.83 % (1450818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450818)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450818)Termination reason: Instruction limit
% 13.85/4.83 % (1450818)Termination phase: Preprocessing 1
% 13.85/4.83 % (1450818)Time elapsed: 0.055 s
% 13.85/4.83 % (1450818)Peak memory usage: 133 MB
% 13.85/4.83 % (1450818)Instructions burned: 129 (million)
% 13.85/4.83 % (1450807)------------------------------
% 13.85/4.83 % (1450807)------------------------------
% 13.85/4.83 % (1450822)lrs+10_1_sil=8000:sp=occurrence:random_seed=3146656296:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 13.85/4.83 % (1450821)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1301322695:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2971 on theBenchmark for (2971ds/114Mi)
% 13.85/4.83 % (1450821)Instruction limit reached!
% 13.85/4.83 % (1450821)------------------------------
% 13.85/4.83 % (1450821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450821)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450821)Termination reason: Instruction limit
% 13.85/4.83 % (1450821)Termination phase: Property scanning
% 13.85/4.83 % (1450821)Time elapsed: 0.052 s
% 13.85/4.83 % (1450821)Peak memory usage: 132 MB
% 13.85/4.83 % (1450821)Instructions burned: 114 (million)
% 13.85/4.83 % (1450823)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4198315702:i=437:sd=1:aac=none:ss=included_2971 on theBenchmark for (2971ds/437Mi)
% 13.85/4.83 % (1450826)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3672843847:i=5202:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/5202Mi)
% 13.85/4.83 % (1450823)Refutation not found, incomplete strategy
% 13.85/4.83 % (1450823)------------------------------
% 13.85/4.83 % (1450823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.83 % (1450823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.83 % (1450823)CaDiCaL version: 2.1.3
% 13.85/4.83 % (1450823)Termination reason: Refutation not found, incomplete strategy
% 13.85/4.83 % (1450823)Time elapsed: 0.207 s
% 13.85/4.83 % (1450823)Peak memory usage: 137 MB
% 13.85/4.83 % (1450823)Instructions burned: 264 (million)
% 13.85/4.83 % (1450822)Instruction limit reached!
% 13.85/4.83 % (1450822)------------------------------
% 13.85/4.84 % (1450822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.84 % (1450822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.84 % (1450822)CaDiCaL version: 2.1.3
% 13.85/4.84 % (1450822)Termination reason: Instruction limit
% 13.85/4.84 % (1450822)Termination phase: Property scanning
% 13.85/4.84 % (1450822)Time elapsed: 0.338 s
% 13.85/4.84 % (1450822)Peak memory usage: 152 MB
% 13.85/4.84 % (1450822)Instructions burned: 908 (million)
% 13.85/4.84 % (1450829)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=405534177:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 13.85/4.84 % (1450829)Instruction limit reached!
% 13.85/4.84 % (1450829)------------------------------
% 13.85/4.84 % (1450829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.84 % (1450829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.84 % (1450829)CaDiCaL version: 2.1.3
% 13.85/4.84 % (1450829)Termination reason: Instruction limit
% 13.85/4.84 % (1450829)Termination phase: SInE selection
% 13.85/4.84 % (1450829)Time elapsed: 0.056 s
% 13.85/4.84 % (1450829)Peak memory usage: 132 MB
% 13.85/4.84 % (1450829)Instructions burned: 135 (million)
% 13.85/4.84 % (1450823)------------------------------
% 13.85/4.84 % (1450823)------------------------------
% 13.85/4.84 % (1450831)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4290221805:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 13.85/4.84 % (1450793)First to succeed.
% 13.85/4.84 % (1450793)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1450786"
% 13.85/4.84 % (1450832)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2629124324:st=3:i=13193:sd=3:ss=axioms_2964 on theBenchmark for (2964ds/13193Mi)
% 13.85/4.84 % (1450831)Instruction limit reached!
% 13.85/4.84 % (1450831)------------------------------
% 13.85/4.84 % (1450831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.85/4.84 % (1450831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.85/4.84 % (1450831)CaDiCaL version: 2.1.3
% 13.85/4.84 % (1450831)Termination reason: Instruction limit
% 13.85/4.84 % (1450831)Termination phase: Naming
% 13.85/4.84 % (1450831)Time elapsed: 0.278 s
% 13.85/4.84 % (1450831)Peak memory usage: 152 MB
% 13.85/4.84 % (1450831)Instructions burned: 593 (million)
% 13.85/4.84 % (1450793)Refutation found. Thanks to Tanya!
% 13.85/4.84 % SZS status Theorem for theBenchmark
% 13.85/4.84 % SZS output start Proof for theBenchmark
% See solution above
% 16.55/5.08 % (1450793)------------------------------
% 16.55/5.08 % (1450793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.55/5.08 % (1450793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.55/5.08 % (1450793)CaDiCaL version: 2.1.3
% 16.55/5.08 % (1450793)Termination reason: Refutation
% 16.55/5.08 % (1450793)Time elapsed: 1.502 s
% 16.55/5.08 % (1450793)Peak memory usage: 198 MB
% 16.55/5.08 % (1450793)Instructions burned: 2252 (million)
% 16.55/5.08 % (1450793)------------------------------
% 16.55/5.08 % (1450793)------------------------------
% 16.55/5.08 % (1450786)Success in time 3.968 s
% 16.55/5.08 % Vampire exiting
%------------------------------------------------------------------------------