%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU324+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:48:21 PM UTC 2026
% Result : Theorem 5.76s 1.80s
% Output : Refutation 6.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 13
% Syntax : Number of formulae : 90 ( 18 unt; 6 def)
% Number of atoms : 248 ( 39 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 256 ( 98 ~; 95 |; 31 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 53 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f65,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f148,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f254,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f428,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f485,axiom,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_tops_1) ).
fof(f486,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( ( closed_subset(X1,X0)
=> topstr_closure(X0,X1) = X1 )
& ( ( topological_space(X0)
& topstr_closure(X0,X1) = X1 )
=> closed_subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f492,conjecture,
! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( open_subset(X3,X1)
=> interior(X1,X3) = X3 )
& ( interior(X0,X2) = X2
=> open_subset(X2,X0) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
fof(f493,negated_conjecture,
~ ! [X0] :
( ( topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( ( open_subset(X3,X1)
=> interior(X1,X3) = X3 )
& ( interior(X0,X2) = X2
=> open_subset(X2,X0) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f492]) ).
fof(f641,plain,
! [X0] :
( ! [X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f707,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f148]) ).
fof(f806,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f254]) ).
fof(f1019,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f428]) ).
fof(f1081,plain,
! [X0] :
( ! [X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f485]) ).
fof(f1082,plain,
! [X0] :
( ! [X1] :
( open_subset(interior(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f1081]) ).
fof(f1083,plain,
! [X0] :
( ! [X1] :
( ( ( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0) )
& ( closed_subset(X1,X0)
| ~ topological_space(X0)
| topstr_closure(X0,X1) != X1 ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f486]) ).
fof(f1084,plain,
! [X0] :
( ! [X1] :
( ( ( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0) )
& ( closed_subset(X1,X0)
| ~ topological_space(X0)
| topstr_closure(X0,X1) != X1 ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(flattening,[],[f1083]) ).
fof(f1095,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( interior(X1,X3) != X3
& open_subset(X3,X1) )
| ( ~ open_subset(X2,X0)
& interior(X0,X2) = X2 ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(X0))) )
& top_str(X1) )
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f493]) ).
fof(f1096,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( interior(X1,X3) != X3
& open_subset(X3,X1) )
| ( ~ open_subset(X2,X0)
& interior(X0,X2) = X2 ) )
& element(X3,powerset(the_carrier(X1))) )
& element(X2,powerset(the_carrier(X0))) )
& top_str(X1) )
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f1095]) ).
fof(f1609,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f1019]) ).
fof(f1647,plain,
( ( ( sK370 != interior(sK368,sK370)
& open_subset(sK370,sK368) )
| ( ~ open_subset(sK369,sK367)
& sK369 = interior(sK367,sK369) ) )
& element(sK370,powerset(the_carrier(sK368)))
& element(sK369,powerset(the_carrier(sK367)))
& top_str(sK368)
& topological_space(sK367)
& top_str(sK367) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK367,sK368,sK369,sK370]),skolemize(X0,sK367),skolemize(X1,sK368),skolemize(X2,sK369),skolemize(X3,sK370)],[f1096]) ).
fof(f1877,plain,
! [X0,X1] :
( ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ),
inference(cnf_transformation,[],[f641]) ).
fof(f2108,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| element(subset_complement(X0,X1),powerset(X0)) ),
inference(cnf_transformation,[],[f707]) ).
fof(f2286,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f806]) ).
fof(f2896,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1609]) ).
fof(f2993,plain,
! [X0,X1] :
( ~ topological_space(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| open_subset(interior(X0,X1),X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1082]) ).
fof(f2995,plain,
! [X0,X1] :
( ~ closed_subset(X1,X0)
| topstr_closure(X0,X1) = X1
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1084]) ).
fof(f3019,plain,
top_str(sK367),
inference(cnf_transformation,[],[f1647]) ).
fof(f3020,plain,
topological_space(sK367),
inference(cnf_transformation,[],[f1647]) ).
fof(f3021,plain,
top_str(sK368),
inference(cnf_transformation,[],[f1647]) ).
fof(f3022,plain,
element(sK369,powerset(the_carrier(sK367))),
inference(cnf_transformation,[],[f1647]) ).
fof(f3023,plain,
element(sK370,powerset(the_carrier(sK368))),
inference(cnf_transformation,[],[f1647]) ).
fof(f3024,plain,
( open_subset(sK370,sK368)
| sK369 = interior(sK367,sK369) ),
inference(cnf_transformation,[],[f1647]) ).
fof(f3025,plain,
( open_subset(sK370,sK368)
| ~ open_subset(sK369,sK367) ),
inference(cnf_transformation,[],[f1647]) ).
fof(f3026,plain,
( sK370 != interior(sK368,sK370)
| sK369 = interior(sK367,sK369) ),
inference(cnf_transformation,[],[f1647]) ).
fof(f3027,plain,
( sK370 != interior(sK368,sK370)
| ~ open_subset(sK369,sK367) ),
inference(cnf_transformation,[],[f1647]) ).
fof(f3665,definition,
( spl377_1
<=> sK369 = interior(sK367,sK369) ),
introduced(definition,[new_symbols(definition,[spl377_1])],[avatar_definition]) ).
fof(f3666,plain,
( sK369 = interior(sK367,sK369)
| ~ spl377_1 ),
inference(avatar_component_clause,[],[f3665]) ).
fof(f3668,definition,
( spl377_2
<=> open_subset(sK370,sK368) ),
introduced(definition,[new_symbols(definition,[spl377_2])],[avatar_definition]) ).
fof(f3669,plain,
( open_subset(sK370,sK368)
| ~ spl377_2 ),
inference(avatar_component_clause,[],[f3668]) ).
fof(f3670,plain,
( spl377_1
| spl377_2 ),
inference(avatar_split_clause,[],[f3024,f3668,f3665]) ).
fof(f3672,definition,
( spl377_3
<=> open_subset(sK369,sK367) ),
introduced(definition,[new_symbols(definition,[spl377_3])],[avatar_definition]) ).
fof(f3673,plain,
( ~ open_subset(sK369,sK367)
| spl377_3 ),
inference(avatar_component_clause,[],[f3672]) ).
fof(f3674,plain,
( ~ spl377_3
| spl377_2 ),
inference(avatar_split_clause,[],[f3025,f3668,f3672]) ).
fof(f3676,definition,
( spl377_4
<=> sK370 = interior(sK368,sK370) ),
introduced(definition,[new_symbols(definition,[spl377_4])],[avatar_definition]) ).
fof(f3677,plain,
( sK370 != interior(sK368,sK370)
| spl377_4 ),
inference(avatar_component_clause,[],[f3676]) ).
fof(f3678,plain,
( spl377_1
| ~ spl377_4 ),
inference(avatar_split_clause,[],[f3026,f3676,f3665]) ).
fof(f3679,plain,
( ~ spl377_3
| ~ spl377_4 ),
inference(avatar_split_clause,[],[f3027,f3676,f3672]) ).
fof(f4022,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK367)))
| open_subset(interior(sK367,X0),sK367)
| ~ top_str(sK367) ),
inference(resolution,[],[f3020,f2993]) ).
fof(f4023,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK367)))
| open_subset(interior(sK367,X0),sK367) ),
inference(forward_subsumption_resolution,[],[f4022,f3019]) ).
fof(f4024,plain,
open_subset(interior(sK367,sK369),sK367),
inference(resolution,[],[f4023,f3022]) ).
fof(f4029,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK368)))
| interior(sK368,X0) = subset_complement(the_carrier(sK368),topstr_closure(sK368,subset_complement(the_carrier(sK368),X0))) ),
inference(resolution,[],[f1877,f3021]) ).
fof(f4033,plain,
interior(sK368,sK370) = subset_complement(the_carrier(sK368),topstr_closure(sK368,subset_complement(the_carrier(sK368),sK370))),
inference(resolution,[],[f4029,f3023]) ).
fof(f4129,plain,
sK370 = subset_complement(the_carrier(sK368),subset_complement(the_carrier(sK368),sK370)),
inference(resolution,[],[f2286,f3023]) ).
fof(f4132,plain,
( ~ open_subset(sK370,sK368)
| closed_subset(subset_complement(the_carrier(sK368),sK370),sK368)
| ~ element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368)))
| ~ top_str(sK368) ),
inference(superposition,[],[f2896,f4129]) ).
fof(f4138,plain,
( closed_subset(subset_complement(the_carrier(sK368),sK370),sK368)
| ~ element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368)))
| ~ top_str(sK368)
| ~ spl377_2 ),
inference(forward_subsumption_resolution,[],[f4132,f3669]) ).
fof(f4140,definition,
( spl377_88
<=> element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368))) ),
introduced(definition,[new_symbols(definition,[spl377_88])],[avatar_definition]) ).
fof(f4141,plain,
( ~ element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368)))
| spl377_88 ),
inference(avatar_component_clause,[],[f4140]) ).
fof(f4152,plain,
( closed_subset(subset_complement(the_carrier(sK368),sK370),sK368)
| ~ element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368)))
| ~ spl377_2 ),
inference(forward_subsumption_resolution,[],[f4138,f3021]) ).
fof(f4154,definition,
( spl377_91
<=> closed_subset(subset_complement(the_carrier(sK368),sK370),sK368) ),
introduced(definition,[new_symbols(definition,[spl377_91])],[avatar_definition]) ).
fof(f4155,plain,
( closed_subset(subset_complement(the_carrier(sK368),sK370),sK368)
| ~ spl377_91 ),
inference(avatar_component_clause,[],[f4154]) ).
fof(f4156,plain,
( ~ spl377_88
| spl377_91
| ~ spl377_2 ),
inference(avatar_split_clause,[],[f4152,f3668,f4154,f4140]) ).
fof(f4297,plain,
element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368))),
inference(resolution,[],[f2108,f3023]) ).
fof(f4300,plain,
( $false
| spl377_88 ),
inference(forward_subsumption_resolution,[],[f4297,f4141]) ).
fof(f4301,plain,
spl377_88,
inference(avatar_contradiction_clause,[],[f4300]) ).
fof(f4340,plain,
( subset_complement(the_carrier(sK368),sK370) = topstr_closure(sK368,subset_complement(the_carrier(sK368),sK370))
| ~ element(subset_complement(the_carrier(sK368),sK370),powerset(the_carrier(sK368)))
| ~ top_str(sK368)
| ~ spl377_91 ),
inference(resolution,[],[f4155,f2995]) ).
fof(f4341,plain,
( subset_complement(the_carrier(sK368),sK370) = topstr_closure(sK368,subset_complement(the_carrier(sK368),sK370))
| ~ top_str(sK368)
| ~ spl377_91 ),
inference(forward_subsumption_resolution,[],[f4340,f4297]) ).
fof(f4343,plain,
( subset_complement(the_carrier(sK368),sK370) = topstr_closure(sK368,subset_complement(the_carrier(sK368),sK370))
| ~ spl377_91 ),
inference(forward_subsumption_resolution,[],[f4341,f3021]) ).
fof(f4345,plain,
( interior(sK368,sK370) = subset_complement(the_carrier(sK368),subset_complement(the_carrier(sK368),sK370))
| ~ spl377_91 ),
inference(superposition,[],[f4033,f4343]) ).
fof(f4348,plain,
( sK370 = interior(sK368,sK370)
| ~ spl377_91 ),
inference(forward_demodulation,[],[f4345,f4129]) ).
fof(f4349,plain,
( $false
| spl377_4
| ~ spl377_91 ),
inference(forward_subsumption_resolution,[],[f4348,f3677]) ).
fof(f4350,plain,
( spl377_4
| ~ spl377_91 ),
inference(avatar_contradiction_clause,[],[f4349]) ).
fof(f4353,plain,
( open_subset(sK369,sK367)
| ~ spl377_1 ),
inference(superposition,[],[f4024,f3666]) ).
fof(f4359,plain,
( $false
| ~ spl377_1
| spl377_3 ),
inference(forward_subsumption_resolution,[],[f4353,f3673]) ).
fof(f4360,plain,
( ~ spl377_1
| spl377_3 ),
inference(avatar_contradiction_clause,[],[f4359]) ).
cnf(s1,plain,
( spl377_1
| spl377_2 ),
inference(sat_conversion,[],[f3670]) ).
cnf(s2,plain,
( spl377_2
| ~ spl377_3 ),
inference(sat_conversion,[],[f3674]) ).
cnf(s3,plain,
( spl377_1
| ~ spl377_4 ),
inference(sat_conversion,[],[f3678]) ).
cnf(s4,plain,
( ~ spl377_3
| ~ spl377_4 ),
inference(sat_conversion,[],[f3679]) ).
cnf(s83,plain,
( ~ spl377_2
| ~ spl377_88
| spl377_91 ),
inference(sat_conversion,[],[f4156]) ).
cnf(s98,plain,
spl377_88,
inference(sat_conversion,[],[f4301]) ).
cnf(s107,plain,
( spl377_4
| ~ spl377_91 ),
inference(sat_conversion,[],[f4350]) ).
cnf(s108,plain,
( ~ spl377_1
| spl377_3 ),
inference(sat_conversion,[],[f4360]) ).
cnf(s116,plain,
( ~ spl377_2
| spl377_91 ),
inference(rat,[],[s83,s98]) ).
cnf(s125,plain,
spl377_1,
inference(rat,[],[s116,s107,s1,s3]) ).
cnf(s128,plain,
spl377_3,
inference(rat,[],[s108,s125]) ).
cnf(s130,plain,
~ spl377_4,
inference(rat,[],[s4,s128]) ).
cnf(s131,plain,
spl377_2,
inference(rat,[],[s2,s128]) ).
cnf(s132,plain,
~ spl377_91,
inference(rat,[],[s107,s130]) ).
cnf(s133,plain,
$false,
inference(rat,[],[s116,s132,s131]) ).
fof(f4364,plain,
$false,
inference(avatar_sat_refutation,[],[s133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU324+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.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 : Mon Sep 28 04:48:48 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.76/1.79 % (25475)Detected formulas, will run a generic FOF schedule.
% 5.76/1.79 % (25481)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=1040058347:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.76/1.79 % (25485)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1046113343:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.76/1.79 % (25484)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2232915183:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.76/1.79 % (25480)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=529338422:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.76/1.79 % (25483)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3509605388:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.76/1.79 % (25482)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=548033110:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.76/1.79 % (25486)dis-21_1_sil=8000:lcm=predicate:random_seed=3726108737:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 5.76/1.79 % (25483)Instruction limit reached!
% 5.76/1.79 % (25483)------------------------------
% 5.76/1.79 % (25483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25483)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25483)Termination reason: Instruction limit
% 5.76/1.79 % (25483)Termination phase: Saturation
% 5.76/1.79 % (25483)Time elapsed: 0.060 s
% 5.76/1.79 % (25483)Peak memory usage: 91 MB
% 5.76/1.79 % (25483)Instructions burned: 110 (million)
% 5.76/1.79 % (25486)Instruction limit reached!
% 5.76/1.79 % (25486)------------------------------
% 5.76/1.79 % (25486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25486)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25486)Termination reason: Instruction limit
% 5.76/1.79 % (25486)Termination phase: Saturation
% 5.76/1.79 % (25486)Time elapsed: 0.065 s
% 5.76/1.79 % (25486)Peak memory usage: 90 MB
% 5.76/1.79 % (25486)Instructions burned: 131 (million)
% 5.76/1.79 % (25484)Instruction limit reached!
% 5.76/1.79 % (25484)------------------------------
% 5.76/1.79 % (25484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25484)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25484)Termination reason: Instruction limit
% 5.76/1.79 % (25484)Termination phase: Saturation
% 5.76/1.79 % (25484)Time elapsed: 0.077 s
% 5.76/1.79 % (25484)Peak memory usage: 90 MB
% 5.76/1.79 % (25484)Instructions burned: 120 (million)
% 5.76/1.79 % (25485)Instruction limit reached!
% 5.76/1.79 % (25485)------------------------------
% 5.76/1.79 % (25485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25485)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25485)Termination reason: Instruction limit
% 5.76/1.79 % (25485)Termination phase: Saturation
% 5.76/1.79 % (25485)Time elapsed: 0.091 s
% 5.76/1.79 % (25485)Peak memory usage: 91 MB
% 5.76/1.79 % (25485)Instructions burned: 139 (million)
% 5.76/1.79 % (25494)lrs+10_1_sil=8000:sp=occurrence:random_seed=2027810007:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.76/1.79 % (25495)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1646509785:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.76/1.79 % (25496)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1570016194:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.76/1.79 % (25497)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=2058377138:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.76/1.79 % (25495)Instruction limit reached!
% 5.76/1.79 % (25495)------------------------------
% 5.76/1.79 % (25495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25495)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25495)Termination reason: Instruction limit
% 5.76/1.79 % (25495)Termination phase: Saturation
% 5.76/1.79 % (25495)Time elapsed: 0.092 s
% 5.76/1.79 % (25495)Peak memory usage: 90 MB
% 5.76/1.79 % (25495)Instructions burned: 158 (million)
% 5.76/1.79 % (25494)Instruction limit reached!
% 5.76/1.79 % (25494)------------------------------
% 5.76/1.79 % (25494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25494)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25494)Termination reason: Instruction limit
% 5.76/1.79 % (25494)Termination phase: Saturation
% 5.76/1.79 % (25494)Time elapsed: 0.187 s
% 5.76/1.79 % (25494)Peak memory usage: 95 MB
% 5.76/1.79 % (25494)Instructions burned: 286 (million)
% 5.76/1.79 % (25497)Instruction limit reached!
% 5.76/1.79 % (25497)------------------------------
% 5.76/1.79 % (25497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25497)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25497)Termination reason: Instruction limit
% 5.76/1.79 % (25497)Termination phase: Saturation
% 5.76/1.79 % (25497)Time elapsed: 0.147 s
% 5.76/1.79 % (25497)Peak memory usage: 93 MB
% 5.76/1.79 % (25497)Instructions burned: 248 (million)
% 5.76/1.79 % (25502)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3245730437:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.76/1.79 % (25496)Instruction limit reached!
% 5.76/1.79 % (25496)------------------------------
% 5.76/1.79 % (25496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.79 % (25496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.79 % (25496)CaDiCaL version: 2.1.3
% 5.76/1.79 % (25496)Termination reason: Instruction limit
% 5.76/1.79 % (25496)Termination phase: Saturation
% 5.76/1.79 % (25496)Time elapsed: 0.226 s
% 5.76/1.79 % (25496)Peak memory usage: 94 MB
% 5.76/1.79 % (25496)Instructions burned: 326 (million)
% 5.76/1.79 % (25504)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4124844708:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.76/1.80 % (25503)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2631793091:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.76/1.80 % (25504)Instruction limit reached!
% 5.76/1.80 % (25504)------------------------------
% 5.76/1.80 % (25504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.80 % (25504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.80 % (25504)CaDiCaL version: 2.1.3
% 5.76/1.80 % (25504)Termination reason: Instruction limit
% 5.76/1.80 % (25504)Termination phase: Saturation
% 5.76/1.80 % (25504)Time elapsed: 0.067 s
% 5.76/1.80 % (25504)Peak memory usage: 91 MB
% 5.76/1.80 % (25504)Instructions burned: 113 (million)
% 5.76/1.80 % (25506)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2036162684:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.76/1.80 % (25481)First to succeed.
% 5.76/1.80 % (25481)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25475"
% 5.76/1.80 % (25502)Instruction limit reached!
% 5.76/1.80 % (25502)------------------------------
% 5.76/1.80 % (25502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.80 % (25502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.80 % (25502)CaDiCaL version: 2.1.3
% 5.76/1.80 % (25502)Termination reason: Instruction limit
% 5.76/1.80 % (25502)Termination phase: Saturation
% 5.76/1.80 % (25502)Time elapsed: 0.186 s
% 5.76/1.80 % (25502)Peak memory usage: 92 MB
% 5.76/1.80 % (25502)Instructions burned: 294 (million)
% 5.76/1.80 % (25506)Instruction limit reached!
% 5.76/1.80 % (25506)------------------------------
% 5.76/1.80 % (25506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.80 % (25506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.80 % (25506)CaDiCaL version: 2.1.3
% 5.76/1.80 % (25506)Termination reason: Instruction limit
% 5.76/1.80 % (25506)Termination phase: Saturation
% 5.76/1.80 % (25506)Time elapsed: 0.073 s
% 5.76/1.80 % (25506)Peak memory usage: 91 MB
% 5.76/1.80 % (25506)Instructions burned: 128 (million)
% 5.76/1.80 % (25510)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=400424658:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.76/1.80 % (25511)lrs+10_1_sil=8000:sp=occurrence:random_seed=16474371:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 5.76/1.80 % (25481)Refutation found. Thanks to Tanya!
% 5.76/1.80 % SZS status Theorem for theBenchmark
% 5.76/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 6.97/1.99 % (25481)------------------------------
% 6.97/1.99 % (25481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.97/1.99 % (25481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.97/1.99 % (25481)CaDiCaL version: 2.1.3
% 6.97/1.99 % (25481)Termination reason: Refutation
% 6.97/1.99 % (25481)Time elapsed: 0.618 s
% 6.97/1.99 % (25481)Peak memory usage: 149 MB
% 6.97/1.99 % (25481)Instructions burned: 1522 (million)
% 6.97/1.99 % (25481)------------------------------
% 6.97/1.99 % (25481)------------------------------
% 6.97/1.99 % (25475)Success in time 0.924 s
% 6.97/1.99 % Vampire exiting
%------------------------------------------------------------------------------