%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU322+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:48:20 PM UTC 2026
% Result : Theorem 12.68s 2.74s
% Output : Refutation 13.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 106 ( 26 unt; 4 def)
% Number of atoms : 235 ( 30 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 239 ( 110 ~; 103 |; 7 &)
% ( 3 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 91 !; 2 ?)
% 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/sandbox2/benchmark/theBenchmark.p',d1_tops_1) ).
fof(f100,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f130,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(interior(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f148,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
fof(f161,axiom,
! [X0,X1] :
( ( top_str(X0)
& element(X1,powerset(the_carrier(X0))) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f250,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f348,axiom,
! [X0,X1] :
( disjoint(X0,X1)
=> disjoint(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_r1_xboole_0) ).
fof(f456,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f459,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_tops_1) ).
fof(f460,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(interior(X0,X1),X1) ) ),
inference(negated_conjecture,[status(cth)],[f459]) ).
fof(f471,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> subset(X1,topstr_closure(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_pre_topc) ).
fof(f648,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(f679,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f100]) ).
fof(f704,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f130]) ).
fof(f705,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f704]) ).
fof(f714,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f148]) ).
fof(f723,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(ennf_transformation,[],[f161]) ).
fof(f724,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(flattening,[],[f723]) ).
fof(f803,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f250]) ).
fof(f907,plain,
! [X0,X1] :
( disjoint(X1,X0)
| ~ disjoint(X0,X1) ),
inference(ennf_transformation,[],[f348]) ).
fof(f1033,plain,
! [X0,X1] :
( ! [X2] :
( ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) )
| ~ element(X2,powerset(X0)) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f456]) ).
fof(f1037,plain,
? [X0] :
( ? [X1] :
( ~ subset(interior(X0,X1),X1)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f460]) ).
fof(f1055,plain,
! [X0] :
( ! [X1] :
( subset(X1,topstr_closure(X0,X1))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f471]) ).
fof(f1682,plain,
! [X0,X1] :
( ! [X2] :
( ( ( disjoint(X1,X2)
| ~ subset(X1,subset_complement(X0,X2)) )
& ( subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) ) )
| ~ element(X2,powerset(X0)) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f1033]) ).
fof(f1684,plain,
( ~ subset(interior(sK381,sK382),sK382)
& element(sK382,powerset(the_carrier(sK381)))
& top_str(sK381) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK381,sK382]),skolemize(X0,sK381),skolemize(X1,sK382)],[f1037]) ).
fof(f1908,plain,
! [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)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f648]) ).
fof(f2057,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| set_difference(X0,X1) = subset_complement(X0,X1) ),
inference(cnf_transformation,[],[f679]) ).
fof(f2130,plain,
! [X0,X1] :
( element(interior(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f705]) ).
fof(f2139,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f714]) ).
fof(f2146,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(cnf_transformation,[],[f724]) ).
fof(f2312,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f803]) ).
fof(f2818,plain,
! [X0,X1] :
( ~ disjoint(X0,X1)
| disjoint(X1,X0) ),
inference(cnf_transformation,[],[f907]) ).
fof(f2988,plain,
! [X2,X0,X1] :
( subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f1682]) ).
fof(f2989,plain,
! [X2,X0,X1] :
( ~ subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2)
| ~ element(X2,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f1682]) ).
fof(f2994,plain,
top_str(sK381),
inference(cnf_transformation,[],[f1684]) ).
fof(f2995,plain,
element(sK382,powerset(the_carrier(sK381))),
inference(cnf_transformation,[],[f1684]) ).
fof(f2996,plain,
~ subset(interior(sK381,sK382),sK382),
inference(cnf_transformation,[],[f1684]) ).
fof(f3017,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| subset(X1,topstr_closure(X0,X1))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f1055]) ).
fof(f3674,definition,
sF394 = interior(sK381,sK382),
introduced(definition,[new_symbols(definition,[sF394])],[function_definition]) ).
fof(f3675,plain,
interior(sK381,sK382) = sF394,
inference(reorient_equations,[],[f3674]) ).
fof(f3676,plain,
~ subset(sF394,sK382),
inference(definition_folding,[],[f2996,f3675]) ).
fof(f3677,definition,
sF395 = the_carrier(sK381),
introduced(definition,[new_symbols(definition,[sF395])],[function_definition]) ).
fof(f3678,plain,
the_carrier(sK381) = sF395,
inference(reorient_equations,[],[f3677]) ).
fof(f3679,definition,
sF396 = powerset(sF395),
introduced(definition,[new_symbols(definition,[sF396])],[function_definition]) ).
fof(f3680,plain,
powerset(sF395) = sF396,
inference(reorient_equations,[],[f3679]) ).
fof(f3681,plain,
element(sK382,sF396),
inference(definition_folding,[],[f2995,f3680,f3678]) ).
fof(f3972,plain,
( element(sF394,powerset(the_carrier(sK381)))
| ~ top_str(sK381)
| ~ element(sK382,powerset(the_carrier(sK381))) ),
inference(superposition,[],[f2130,f3675]) ).
fof(f3975,plain,
( element(sF394,powerset(the_carrier(sK381)))
| ~ element(sK382,powerset(the_carrier(sK381))) ),
inference(forward_subsumption_resolution,[],[f3972,f2994]) ).
fof(f3977,plain,
( element(sF394,powerset(sF395))
| ~ element(sK382,powerset(the_carrier(sK381))) ),
inference(forward_demodulation,[],[f3975,f3678]) ).
fof(f3979,plain,
( element(sF394,sF396)
| ~ element(sK382,powerset(the_carrier(sK381))) ),
inference(forward_demodulation,[],[f3977,f3680]) ).
fof(f3980,plain,
( ~ element(sK382,powerset(sF395))
| element(sF394,sF396) ),
inference(forward_demodulation,[],[f3979,f3678]) ).
fof(f3981,plain,
( ~ element(sK382,sF396)
| element(sF394,sF396) ),
inference(forward_demodulation,[],[f3980,f3680]) ).
fof(f3982,plain,
element(sF394,sF396),
inference(forward_subsumption_resolution,[],[f3981,f3681]) ).
fof(f3985,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| subset(X0,topstr_closure(sK381,X0))
| ~ top_str(sK381) ),
inference(superposition,[],[f3017,f3678]) ).
fof(f3987,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| subset(X0,topstr_closure(sK381,X0)) ),
inference(forward_subsumption_resolution,[],[f3985,f2994]) ).
fof(f3988,plain,
! [X0] :
( subset(X0,topstr_closure(sK381,X0))
| ~ element(X0,sF396) ),
inference(forward_demodulation,[],[f3987,f3680]) ).
fof(f3995,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| interior(sK381,X0) = subset_complement(sF395,topstr_closure(sK381,subset_complement(sF395,X0)))
| ~ top_str(sK381) ),
inference(superposition,[],[f1908,f3678]) ).
fof(f3997,plain,
! [X0] :
( ~ element(X0,powerset(sF395))
| interior(sK381,X0) = subset_complement(sF395,topstr_closure(sK381,subset_complement(sF395,X0))) ),
inference(forward_subsumption_resolution,[],[f3995,f2994]) ).
fof(f3998,plain,
! [X0] :
( ~ element(X0,sF396)
| interior(sK381,X0) = subset_complement(sF395,topstr_closure(sK381,subset_complement(sF395,X0))) ),
inference(forward_demodulation,[],[f3997,f3680]) ).
fof(f3999,plain,
interior(sK381,sK382) = subset_complement(sF395,topstr_closure(sK381,subset_complement(sF395,sK382))),
inference(resolution,[],[f3998,f3681]) ).
fof(f4002,plain,
sF394 = subset_complement(sF395,topstr_closure(sK381,subset_complement(sF395,sK382))),
inference(forward_demodulation,[],[f3999,f3675]) ).
fof(f4006,plain,
! [X0] :
( ~ element(X0,sF396)
| subset_complement(sF395,subset_complement(sF395,X0)) = X0 ),
inference(superposition,[],[f2312,f3680]) ).
fof(f4020,plain,
! [X0] :
( ~ element(X0,sF396)
| subset_complement(sF395,X0) = set_difference(sF395,X0) ),
inference(superposition,[],[f2057,f3680]) ).
fof(f4022,plain,
subset_complement(sF395,sK382) = set_difference(sF395,sK382),
inference(resolution,[],[f4020,f3681]) ).
fof(f4023,plain,
subset_complement(sF395,sF394) = set_difference(sF395,sF394),
inference(resolution,[],[f4020,f3982]) ).
fof(f4024,plain,
sF394 = subset_complement(sF395,topstr_closure(sK381,set_difference(sF395,sK382))),
inference(superposition,[],[f4002,f4022]) ).
fof(f4025,plain,
( element(set_difference(sF395,sK382),powerset(sF395))
| ~ element(sK382,powerset(sF395)) ),
inference(superposition,[],[f2139,f4022]) ).
fof(f4026,plain,
( element(set_difference(sF395,sK382),sF396)
| ~ element(sK382,powerset(sF395)) ),
inference(forward_demodulation,[],[f4025,f3680]) ).
fof(f4027,plain,
( ~ element(sK382,sF396)
| element(set_difference(sF395,sK382),sF396) ),
inference(forward_demodulation,[],[f4026,f3680]) ).
fof(f4028,plain,
element(set_difference(sF395,sK382),sF396),
inference(forward_subsumption_resolution,[],[f4027,f3681]) ).
fof(f4054,definition,
( spl397_56
<=> element(topstr_closure(sK381,set_difference(sF395,sK382)),sF396) ),
introduced(definition,[new_symbols(definition,[spl397_56])],[avatar_definition]) ).
fof(f4055,plain,
( element(topstr_closure(sK381,set_difference(sF395,sK382)),sF396)
| ~ spl397_56 ),
inference(avatar_component_clause,[],[f4054]) ).
fof(f4056,plain,
( ~ element(topstr_closure(sK381,set_difference(sF395,sK382)),sF396)
| spl397_56 ),
inference(avatar_component_clause,[],[f4054]) ).
fof(f4130,plain,
sK382 = subset_complement(sF395,subset_complement(sF395,sK382)),
inference(resolution,[],[f4006,f3681]) ).
fof(f4133,plain,
sK382 = subset_complement(sF395,set_difference(sF395,sK382)),
inference(forward_demodulation,[],[f4130,f4022]) ).
fof(f4158,plain,
! [X0] :
( element(topstr_closure(sK381,X0),powerset(sF395))
| ~ top_str(sK381)
| ~ element(X0,powerset(sF395)) ),
inference(superposition,[],[f2146,f3678]) ).
fof(f4161,plain,
! [X0] :
( element(topstr_closure(sK381,X0),powerset(sF395))
| ~ element(X0,powerset(sF395)) ),
inference(forward_subsumption_resolution,[],[f4158,f2994]) ).
fof(f4162,plain,
! [X0] :
( element(topstr_closure(sK381,X0),sF396)
| ~ element(X0,powerset(sF395)) ),
inference(forward_demodulation,[],[f4161,f3680]) ).
fof(f4163,plain,
! [X0] :
( element(topstr_closure(sK381,X0),sF396)
| ~ element(X0,sF396) ),
inference(forward_demodulation,[],[f4162,f3680]) ).
fof(f4197,plain,
! [X0] :
( subset(X0,sK382)
| ~ disjoint(X0,set_difference(sF395,sK382))
| ~ element(set_difference(sF395,sK382),powerset(sF395))
| ~ element(X0,powerset(sF395)) ),
inference(superposition,[],[f2988,f4133]) ).
fof(f4204,plain,
! [X0] :
( ~ element(set_difference(sF395,sK382),sF396)
| subset(X0,sK382)
| ~ disjoint(X0,set_difference(sF395,sK382))
| ~ element(X0,powerset(sF395)) ),
inference(forward_demodulation,[],[f4197,f3680]) ).
fof(f4210,plain,
! [X0] :
( subset(X0,sK382)
| ~ disjoint(X0,set_difference(sF395,sK382))
| ~ element(X0,powerset(sF395)) ),
inference(forward_subsumption_resolution,[],[f4204,f4028]) ).
fof(f4215,plain,
! [X0] :
( ~ disjoint(X0,set_difference(sF395,sK382))
| subset(X0,sK382)
| ~ element(X0,sF396) ),
inference(forward_demodulation,[],[f4210,f3680]) ).
fof(f4321,plain,
( ~ element(set_difference(sF395,sK382),sF396)
| spl397_56 ),
inference(resolution,[],[f4056,f4163]) ).
fof(f4322,plain,
( $false
| spl397_56 ),
inference(forward_subsumption_resolution,[],[f4321,f4028]) ).
fof(f4323,plain,
spl397_56,
inference(avatar_contradiction_clause,[],[f4322]) ).
fof(f4533,plain,
! [X0] :
( ~ subset(X0,set_difference(sF395,sF394))
| disjoint(X0,sF394)
| ~ element(sF394,powerset(sF395))
| ~ element(X0,powerset(sF395)) ),
inference(superposition,[],[f2989,f4023]) ).
fof(f4537,plain,
! [X0] :
( ~ element(sF394,sF396)
| ~ subset(X0,set_difference(sF395,sF394))
| disjoint(X0,sF394)
| ~ element(X0,powerset(sF395)) ),
inference(forward_demodulation,[],[f4533,f3680]) ).
fof(f4545,plain,
! [X0] :
( ~ subset(X0,set_difference(sF395,sF394))
| disjoint(X0,sF394)
| ~ element(X0,powerset(sF395)) ),
inference(forward_subsumption_resolution,[],[f4537,f3982]) ).
fof(f4551,plain,
! [X0] :
( ~ subset(X0,set_difference(sF395,sF394))
| ~ element(X0,sF396)
| disjoint(X0,sF394) ),
inference(forward_demodulation,[],[f4545,f3680]) ).
fof(f4634,plain,
( topstr_closure(sK381,set_difference(sF395,sK382)) = subset_complement(sF395,subset_complement(sF395,topstr_closure(sK381,set_difference(sF395,sK382))))
| ~ spl397_56 ),
inference(resolution,[],[f4055,f4006]) ).
fof(f4644,plain,
( subset_complement(sF395,sF394) = topstr_closure(sK381,set_difference(sF395,sK382))
| ~ spl397_56 ),
inference(forward_demodulation,[],[f4634,f4024]) ).
fof(f4646,plain,
( set_difference(sF395,sF394) = topstr_closure(sK381,set_difference(sF395,sK382))
| ~ spl397_56 ),
inference(forward_demodulation,[],[f4644,f4023]) ).
fof(f4658,plain,
( subset(set_difference(sF395,sK382),set_difference(sF395,sF394))
| ~ element(set_difference(sF395,sK382),sF396)
| ~ spl397_56 ),
inference(superposition,[],[f3988,f4646]) ).
fof(f4661,plain,
( subset(set_difference(sF395,sK382),set_difference(sF395,sF394))
| ~ spl397_56 ),
inference(forward_subsumption_resolution,[],[f4658,f4028]) ).
fof(f4871,plain,
( ~ element(set_difference(sF395,sK382),sF396)
| disjoint(set_difference(sF395,sK382),sF394)
| ~ spl397_56 ),
inference(resolution,[],[f4661,f4551]) ).
fof(f4875,plain,
( disjoint(set_difference(sF395,sK382),sF394)
| ~ spl397_56 ),
inference(forward_subsumption_resolution,[],[f4871,f4028]) ).
fof(f7240,plain,
( disjoint(sF394,set_difference(sF395,sK382))
| ~ spl397_56 ),
inference(resolution,[],[f2818,f4875]) ).
fof(f7245,plain,
( subset(sF394,sK382)
| ~ element(sF394,sF396)
| ~ spl397_56 ),
inference(resolution,[],[f7240,f4215]) ).
fof(f7248,plain,
( ~ element(sF394,sF396)
| ~ spl397_56 ),
inference(forward_subsumption_resolution,[],[f7245,f3676]) ).
fof(f7249,plain,
( $false
| ~ spl397_56 ),
inference(forward_subsumption_resolution,[],[f7248,f3982]) ).
fof(f7250,plain,
~ spl397_56,
inference(avatar_contradiction_clause,[],[f7249]) ).
cnf(s59,plain,
spl397_56,
inference(sat_conversion,[],[f4323]) ).
cnf(s115,plain,
~ spl397_56,
inference(sat_conversion,[],[f7250]) ).
cnf(s117,plain,
$false,
inference(rat,[],[s59,s115]) ).
fof(f7251,plain,
$false,
inference(avatar_sat_refutation,[],[s117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU322+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 % Computer : n019.cluster.edu
% 0.09/0.41 % Model : x86_64 x86_64
% 0.09/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.41 % Memory : 8046.5625MB
% 0.09/0.41 % OS : Linux 6.8.0-71-generic
% 0.09/0.41 % CPULimit : 300
% 0.09/0.41 % WCLimit : 300
% 0.09/0.41 % DateTime : Mon Sep 28 04:41:49 UTC 2026
% 0.09/0.41 % CPUTime :
% 0.09/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.44 Running first-order theorem proving
% 0.09/0.45 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
% 12.68/2.74 % (3664236)Detected formulas, will run a generic FOF schedule.
% 12.68/2.74 % (3664245)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2325205328:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.68/2.74 % (3664245)Instruction limit reached!
% 12.68/2.74 % (3664245)------------------------------
% 12.68/2.74 % (3664245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664245)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664245)Termination reason: Instruction limit
% 12.68/2.74 % (3664245)Termination phase: Saturation
% 12.68/2.74 % (3664245)Time elapsed: 0.043 s
% 12.68/2.74 % (3664245)Peak memory usage: 91 MB
% 12.68/2.74 % (3664245)Instructions burned: 120 (million)
% 12.68/2.74 % (3664242)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=859700964:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.68/2.74 % (3664244)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2275896456:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.68/2.74 % (3664243)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=1567633060:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.68/2.74 % (3664241)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=2826675268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.68/2.74 % (3664247)dis-21_1_sil=8000:lcm=predicate:random_seed=629305369: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)
% 12.68/2.74 % (3664246)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2793644453:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.68/2.74 % (3664244)Instruction limit reached!
% 12.68/2.74 % (3664244)------------------------------
% 12.68/2.74 % (3664244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664244)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664244)Termination reason: Instruction limit
% 12.68/2.74 % (3664244)Termination phase: Saturation
% 12.68/2.74 % (3664244)Time elapsed: 0.062 s
% 12.68/2.74 % (3664244)Peak memory usage: 91 MB
% 12.68/2.74 % (3664244)Instructions burned: 110 (million)
% 12.68/2.74 % (3664247)Instruction limit reached!
% 12.68/2.74 % (3664247)------------------------------
% 12.68/2.74 % (3664247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664247)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664247)Termination reason: Instruction limit
% 12.68/2.74 % (3664247)Termination phase: Saturation
% 12.68/2.74 % (3664247)Time elapsed: 0.065 s
% 12.68/2.74 % (3664247)Peak memory usage: 90 MB
% 12.68/2.74 % (3664247)Instructions burned: 129 (million)
% 12.68/2.74 % (3664246)Instruction limit reached!
% 12.68/2.74 % (3664246)------------------------------
% 12.68/2.74 % (3664246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664246)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664246)Termination reason: Instruction limit
% 12.68/2.74 % (3664246)Termination phase: Saturation
% 12.68/2.74 % (3664246)Time elapsed: 0.094 s
% 12.68/2.74 % (3664246)Peak memory usage: 91 MB
% 12.68/2.74 % (3664246)Instructions burned: 140 (million)
% 12.68/2.74 % (3664253)lrs+10_1_sil=8000:sp=occurrence:random_seed=1981160711:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.68/2.74 % (3664253)Instruction limit reached!
% 12.68/2.74 % (3664253)------------------------------
% 12.68/2.74 % (3664253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664253)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664253)Termination reason: Instruction limit
% 12.68/2.74 % (3664253)Termination phase: Saturation
% 12.68/2.74 % (3664253)Time elapsed: 0.102 s
% 12.68/2.74 % (3664253)Peak memory usage: 95 MB
% 12.68/2.74 % (3664253)Instructions burned: 287 (million)
% 12.68/2.74 % (3664256)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3539245595:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.68/2.74 % (3664257)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2509391626:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.68/2.74 % (3664258)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=301362694:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 12.68/2.74 % (3664256)Instruction limit reached!
% 12.68/2.74 % (3664256)------------------------------
% 12.68/2.74 % (3664256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664256)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664256)Termination reason: Instruction limit
% 12.68/2.74 % (3664256)Termination phase: Saturation
% 12.68/2.74 % (3664256)Time elapsed: 0.089 s
% 12.68/2.74 % (3664256)Peak memory usage: 90 MB
% 12.68/2.74 % (3664256)Instructions burned: 158 (million)
% 12.68/2.74 % (3664261)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=372927298:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.68/2.74 % (3664258)Instruction limit reached!
% 12.68/2.74 % (3664258)------------------------------
% 12.68/2.74 % (3664258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664258)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664258)Termination reason: Instruction limit
% 12.68/2.74 % (3664258)Termination phase: Saturation
% 12.68/2.74 % (3664258)Time elapsed: 0.154 s
% 12.68/2.74 % (3664258)Peak memory usage: 93 MB
% 12.68/2.74 % (3664258)Instructions burned: 249 (million)
% 12.68/2.74 % (3664261)Instruction limit reached!
% 12.68/2.74 % (3664261)------------------------------
% 12.68/2.74 % (3664261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664261)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664261)Termination reason: Instruction limit
% 12.68/2.74 % (3664261)Termination phase: Saturation
% 12.68/2.74 % (3664261)Time elapsed: 0.099 s
% 12.68/2.74 % (3664261)Peak memory usage: 92 MB
% 12.68/2.74 % (3664261)Instructions burned: 296 (million)
% 12.68/2.74 % (3664257)Instruction limit reached!
% 12.68/2.74 % (3664257)------------------------------
% 12.68/2.74 % (3664257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664257)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664257)Termination reason: Instruction limit
% 12.68/2.74 % (3664257)Termination phase: Saturation
% 12.68/2.74 % (3664257)Time elapsed: 0.229 s
% 12.68/2.74 % (3664257)Peak memory usage: 94 MB
% 12.68/2.74 % (3664257)Instructions burned: 325 (million)
% 12.68/2.74 % (3664264)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3636134003:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 12.68/2.74 % (3664267)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=538171397:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 12.68/2.74 % (3664266)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1295669687:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.68/2.74 % (3664267)Instruction limit reached!
% 12.68/2.74 % (3664267)------------------------------
% 12.68/2.74 % (3664267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664267)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664267)Termination reason: Instruction limit
% 12.68/2.74 % (3664267)Termination phase: Saturation
% 12.68/2.74 % (3664267)Time elapsed: 0.039 s
% 12.68/2.74 % (3664267)Peak memory usage: 91 MB
% 12.68/2.74 % (3664267)Instructions burned: 128 (million)
% 12.68/2.74 % (3664268)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=5329434:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.68/2.74 % (3664266)Instruction limit reached!
% 12.68/2.74 % (3664266)------------------------------
% 12.68/2.74 % (3664266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664266)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664266)Termination reason: Instruction limit
% 12.68/2.74 % (3664266)Termination phase: Saturation
% 12.68/2.74 % (3664266)Time elapsed: 0.070 s
% 12.68/2.74 % (3664266)Peak memory usage: 91 MB
% 12.68/2.74 % (3664266)Instructions burned: 113 (million)
% 12.68/2.74 % (3664268)Instruction limit reached!
% 12.68/2.74 % (3664268)------------------------------
% 12.68/2.74 % (3664268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664268)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664268)Termination reason: Instruction limit
% 12.68/2.74 % (3664268)Termination phase: Saturation
% 12.68/2.74 % (3664268)Time elapsed: 0.057 s
% 12.68/2.74 % (3664268)Peak memory usage: 89 MB
% 12.68/2.74 % (3664268)Instructions burned: 115 (million)
% 12.68/2.74 % (3664272)lrs+10_1_sil=8000:sp=occurrence:random_seed=1949828991:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.68/2.74 % (3664274)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=347611038:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 12.68/2.74 % (3664275)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=597299183:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 12.68/2.74 % (3664272)Instruction limit reached!
% 12.68/2.74 % (3664272)------------------------------
% 12.68/2.74 % (3664272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664272)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664272)Termination reason: Instruction limit
% 12.68/2.74 % (3664272)Termination phase: Saturation
% 12.68/2.74 % (3664272)Time elapsed: 0.311 s
% 12.68/2.74 % (3664272)Peak memory usage: 104 MB
% 12.68/2.74 % (3664272)Instructions burned: 909 (million)
% 12.68/2.74 % (3664274)Instruction limit reached!
% 12.68/2.74 % (3664274)------------------------------
% 12.68/2.74 % (3664274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664274)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664274)Termination reason: Instruction limit
% 12.68/2.74 % (3664274)Termination phase: Saturation
% 12.68/2.74 % (3664274)Time elapsed: 0.267 s
% 12.68/2.74 % (3664274)Peak memory usage: 95 MB
% 12.68/2.74 % (3664274)Instructions burned: 437 (million)
% 12.68/2.74 % (3664279)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3474672045:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 12.68/2.74 % (3664279)Instruction limit reached!
% 12.68/2.74 % (3664279)------------------------------
% 12.68/2.74 % (3664279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664279)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664279)Termination reason: Instruction limit
% 12.68/2.74 % (3664279)Termination phase: Saturation
% 12.68/2.74 % (3664279)Time elapsed: 0.041 s
% 12.68/2.74 % (3664279)Peak memory usage: 92 MB
% 12.68/2.74 % (3664279)Instructions burned: 135 (million)
% 12.68/2.74 % (3664280)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2037876999:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 12.68/2.74 % (3664282)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1612655135:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.68/2.74 % (3664241)First to succeed.
% 12.68/2.74 % (3664241)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3664236"
% 12.68/2.74 % (3664280)Instruction limit reached!
% 12.68/2.74 % (3664280)------------------------------
% 12.68/2.74 % (3664280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.68/2.74 % (3664280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.68/2.74 % (3664280)CaDiCaL version: 2.1.3
% 12.68/2.74 % (3664280)Termination reason: Instruction limit
% 12.68/2.74 % (3664280)Termination phase: Saturation
% 12.68/2.74 % (3664280)Time elapsed: 0.358 s
% 12.68/2.74 % (3664280)Peak memory usage: 99 MB
% 12.68/2.74 % (3664280)Instructions burned: 592 (million)
% 12.68/2.74 % (3664241)Refutation found. Thanks to Tanya!
% 12.68/2.74 % SZS status Theorem for theBenchmark
% 12.68/2.74 % SZS output start Proof for theBenchmark
% See solution above
% 13.48/2.84 % (3664241)------------------------------
% 13.48/2.84 % (3664241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/2.84 % (3664241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/2.84 % (3664241)CaDiCaL version: 2.1.3
% 13.48/2.84 % (3664241)Termination reason: Refutation
% 13.48/2.84 % (3664241)Time elapsed: 1.396 s
% 13.48/2.84 % (3664241)Peak memory usage: 149 MB
% 13.48/2.84 % (3664241)Instructions burned: 2179 (million)
% 13.48/2.84 % (3664241)------------------------------
% 13.48/2.84 % (3664241)------------------------------
% 13.48/2.84 % (3664236)Success in time 1.849 s
% 13.48/2.84 % Vampire exiting
%------------------------------------------------------------------------------