%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU324+1 : 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 2.31s 1.18s
% Output : Refutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 11 unt; 4 def)
% Number of atoms : 244 ( 41 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 274 ( 108 ~; 105 |; 32 &)
% ( 6 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 57 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f4,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(f16,axiom,
! [X0,X1] :
( ( topological_space(X0)
& top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> open_subset(interior(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f17,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(f22,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f24,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(f25,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(f26,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)],[f25]) ).
fof(f31,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,[],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f44,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f54,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,[],[f24]) ).
fof(f55,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,[],[f54]) ).
fof(f56,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,[],[f26]) ).
fof(f57,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,[],[f56]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ( open_subset(X1,X0)
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f64,plain,
( ( ( sK8 != interior(sK6,sK8)
& open_subset(sK8,sK6) )
| ( ~ open_subset(sK7,sK5)
& sK7 = interior(sK5,sK7) ) )
& element(sK8,powerset(the_carrier(sK6)))
& element(sK7,powerset(the_carrier(sK5)))
& top_str(sK6)
& topological_space(sK5)
& top_str(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f57]) ).
fof(f65,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,[],[f31]) ).
fof(f67,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
! [X0,X1] :
( open_subset(interior(X0,X1),X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f44]) ).
fof(f75,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f84,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1] :
( topstr_closure(X0,X1) = X1
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f89,plain,
top_str(sK5),
inference(cnf_transformation,[],[f64]) ).
fof(f90,plain,
topological_space(sK5),
inference(cnf_transformation,[],[f64]) ).
fof(f91,plain,
top_str(sK6),
inference(cnf_transformation,[],[f64]) ).
fof(f92,plain,
element(sK7,powerset(the_carrier(sK5))),
inference(cnf_transformation,[],[f64]) ).
fof(f93,plain,
element(sK8,powerset(the_carrier(sK6))),
inference(cnf_transformation,[],[f64]) ).
fof(f94,plain,
( open_subset(sK8,sK6)
| sK7 = interior(sK5,sK7) ),
inference(cnf_transformation,[],[f64]) ).
fof(f95,plain,
( open_subset(sK8,sK6)
| ~ open_subset(sK7,sK5) ),
inference(cnf_transformation,[],[f64]) ).
fof(f96,plain,
( sK8 != interior(sK6,sK8)
| sK7 = interior(sK5,sK7) ),
inference(cnf_transformation,[],[f64]) ).
fof(f97,plain,
( sK8 != interior(sK6,sK8)
| ~ open_subset(sK7,sK5) ),
inference(cnf_transformation,[],[f64]) ).
fof(f99,definition,
( spl9_1
<=> sK7 = interior(sK5,sK7) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f101,plain,
( sK7 = interior(sK5,sK7)
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl9_2
<=> open_subset(sK8,sK6) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f105,plain,
( open_subset(sK8,sK6)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f94,f103,f99]) ).
fof(f108,definition,
( spl9_3
<=> open_subset(sK7,sK5) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f110,plain,
( ~ open_subset(sK7,sK5)
| spl9_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( ~ spl9_3
| spl9_2 ),
inference(avatar_split_clause,[],[f95,f103,f108]) ).
fof(f113,definition,
( spl9_4
<=> sK8 = interior(sK6,sK8) ),
introduced(definition,[new_symbols(definition,[spl9_4])],[avatar_definition]) ).
fof(f115,plain,
( sK8 != interior(sK6,sK8)
| spl9_4 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl9_1
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f96,f113,f99]) ).
fof(f117,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f97,f113,f108]) ).
fof(f130,plain,
! [X0] :
( interior(sK6,X0) = subset_complement(the_carrier(sK6),topstr_closure(sK6,subset_complement(the_carrier(sK6),X0)))
| ~ element(X0,powerset(the_carrier(sK6))) ),
inference(resolution,[],[f65,f91]) ).
fof(f145,plain,
! [X0] :
( interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0))
| ~ element(X0,powerset(the_carrier(sK6)))
| ~ closed_subset(subset_complement(the_carrier(sK6),X0),sK6)
| ~ element(subset_complement(the_carrier(sK6),X0),powerset(the_carrier(sK6)))
| ~ top_str(sK6) ),
inference(superposition,[],[f130,f88]) ).
fof(f150,plain,
! [X0] :
( interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0))
| ~ element(X0,powerset(the_carrier(sK6)))
| ~ closed_subset(subset_complement(the_carrier(sK6),X0),sK6)
| ~ element(subset_complement(the_carrier(sK6),X0),powerset(the_carrier(sK6))) ),
inference(forward_subsumption_resolution,[],[f145,f91]) ).
fof(f152,plain,
! [X0] :
( ~ closed_subset(subset_complement(the_carrier(sK6),X0),sK6)
| ~ element(X0,powerset(the_carrier(sK6)))
| interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0)) ),
inference(forward_subsumption_resolution,[],[f150,f67]) ).
fof(f216,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK6)))
| interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0))
| ~ open_subset(X0,sK6)
| ~ element(X0,powerset(the_carrier(sK6)))
| ~ top_str(sK6) ),
inference(resolution,[],[f152,f84]) ).
fof(f221,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK6)))
| interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0))
| ~ open_subset(X0,sK6)
| ~ top_str(sK6) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f224,plain,
! [X0] :
( ~ open_subset(X0,sK6)
| interior(sK6,X0) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),X0))
| ~ element(X0,powerset(the_carrier(sK6))) ),
inference(forward_subsumption_resolution,[],[f221,f91]) ).
fof(f619,plain,
( interior(sK6,sK8) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),sK8))
| ~ element(sK8,powerset(the_carrier(sK6)))
| ~ spl9_2 ),
inference(resolution,[],[f224,f105]) ).
fof(f621,plain,
( interior(sK6,sK8) = subset_complement(the_carrier(sK6),subset_complement(the_carrier(sK6),sK8))
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f619,f93]) ).
fof(f965,plain,
( sK8 = interior(sK6,sK8)
| ~ element(sK8,powerset(the_carrier(sK6)))
| ~ spl9_2 ),
inference(superposition,[],[f75,f621]) ).
fof(f982,plain,
( ~ element(sK8,powerset(the_carrier(sK6)))
| ~ spl9_2
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f965,f115]) ).
fof(f1035,plain,
( $false
| ~ spl9_2
| spl9_4 ),
inference(forward_subsumption_resolution,[],[f982,f93]) ).
fof(f1036,plain,
( ~ spl9_2
| spl9_4 ),
inference(avatar_contradiction_clause,[],[f1035]) ).
fof(f1070,plain,
( open_subset(sK7,sK5)
| ~ topological_space(sK5)
| ~ top_str(sK5)
| ~ element(sK7,powerset(the_carrier(sK5)))
| ~ spl9_1 ),
inference(superposition,[],[f74,f101]) ).
fof(f1072,plain,
( ~ topological_space(sK5)
| ~ top_str(sK5)
| ~ element(sK7,powerset(the_carrier(sK5)))
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f1070,f110]) ).
fof(f1079,plain,
( ~ top_str(sK5)
| ~ element(sK7,powerset(the_carrier(sK5)))
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f1072,f90]) ).
fof(f1083,plain,
( ~ element(sK7,powerset(the_carrier(sK5)))
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f1079,f89]) ).
fof(f1084,plain,
( $false
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f1083,f92]) ).
fof(f1085,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
cnf(s1,plain,
( spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f106]) ).
cnf(s2,plain,
( spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f111]) ).
cnf(s3,plain,
( spl9_1
| ~ spl9_4 ),
inference(sat_conversion,[],[f116]) ).
cnf(s4,plain,
( ~ spl9_3
| ~ spl9_4 ),
inference(sat_conversion,[],[f117]) ).
cnf(s59,plain,
( ~ spl9_2
| spl9_4 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s70,plain,
( ~ spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f1085]) ).
cnf(s87,plain,
spl9_1,
inference(rat,[],[s59,s1,s3]) ).
cnf(s88,plain,
spl9_3,
inference(rat,[],[s70,s87]) ).
cnf(s90,plain,
~ spl9_4,
inference(rat,[],[s4,s88]) ).
cnf(s91,plain,
spl9_2,
inference(rat,[],[s2,s88]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s59,s90,s91]) ).
fof(f1086,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU324+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n001.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:48:33 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.31/1.18 % (25075)Detected formulas, will run a generic FOF schedule.
% 2.31/1.18 % (25084)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4050160603:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.31/1.18 % (25083)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3848864541:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.31/1.18 % (25081)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=998470011:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.31/1.18 % (25080)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=2657418058:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.31/1.18 % (25085)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=176137806:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.31/1.18 % (25082)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=2773193081:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.31/1.18 % (25084)Instruction limit reached!
% 2.31/1.18 % (25084)------------------------------
% 2.31/1.18 % (25084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.18 % (25084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.18 % (25084)CaDiCaL version: 2.1.3
% 2.31/1.18 % (25084)Termination reason: Instruction limit
% 2.31/1.18 % (25084)Termination phase: Saturation
% 2.31/1.18 % (25084)Time elapsed: 0.037 s
% 2.31/1.18 % (25084)Peak memory usage: 88 MB
% 2.31/1.18 % (25084)Instructions burned: 121 (million)
% 2.31/1.18 % (25083)Refutation not found, incomplete strategy
% 2.31/1.18 % (25083)------------------------------
% 2.31/1.18 % (25083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.18 % (25083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.18 % (25083)CaDiCaL version: 2.1.3
% 2.31/1.18 % (25083)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.18 % (25083)Time elapsed: 0.002 s
% 2.31/1.18 % (25083)Peak memory usage: 88 MB
% 2.31/1.18 % (25083)Instructions burned: 2 (million)
% 2.31/1.18 % (25086)dis-21_1_sil=8000:lcm=predicate:random_seed=4077308469: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)
% 2.31/1.18 % (25086)Refutation not found, incomplete strategy
% 2.31/1.18 % (25086)------------------------------
% 2.31/1.18 % (25086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.31/1.18 % (25086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/1.18 % (25086)CaDiCaL version: 2.1.3
% 2.31/1.18 % (25086)Termination reason: Refutation not found, incomplete strategy
% 2.31/1.18 % (25086)Time elapsed: 0.003 s
% 2.31/1.18 % (25086)Peak memory usage: 88 MB
% 2.31/1.18 % (25086)Instructions burned: 2 (million)
% 2.31/1.18 % (25085)First to succeed.
% 2.31/1.18 % (25085)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25075"
% 2.31/1.18 % (25093)lrs+10_1_sil=8000:sp=occurrence:random_seed=394312986:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.31/1.18 % (25093)Also succeeded, but the first one will report.
% 2.31/1.18 % (25085)Refutation found. Thanks to Tanya!
% 2.31/1.18 % SZS status Theorem for theBenchmark
% 2.31/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 2.93/1.38 % (25085)------------------------------
% 2.93/1.38 % (25085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.93/1.38 % (25085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.93/1.38 % (25085)CaDiCaL version: 2.1.3
% 2.93/1.38 % (25085)Termination reason: Refutation
% 2.93/1.38 % (25085)Time elapsed: 0.018 s
% 2.93/1.38 % (25085)Peak memory usage: 90 MB
% 2.93/1.38 % (25085)Instructions burned: 39 (million)
% 2.93/1.38 % (25085)------------------------------
% 2.93/1.38 % (25085)------------------------------
% 2.93/1.38 % (25075)Success in time 0.336 s
% 2.93/1.38 % Vampire exiting
%------------------------------------------------------------------------------