%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO094+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:51:31 AM UTC 2026
% Result : Theorem 3.60s 1.58s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 21 unt; 1 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 394 ( 144 ~; 143 |; 92 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 151 ( 0 sgn 131 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn) ).
fof(f3,axiom,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( ( part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) )
=> ( part_of(X2,X3)
| part_of(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn) ).
fof(f4,axiom,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( incident_c(X0,X1)
& ~ end_point(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f5,axiom,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X3] :
( ( incident_c(X3,X1)
& incident_c(X3,X2) )
=> ( end_point(X3,X1)
& end_point(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_defn) ).
fof(f10,axiom,
! [X0] :
? [X1] : inner_point(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( meet(X3,X1,X2)
& part_of(X1,X0)
& part_of(X2,X0) )
=> ~ end_point(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',proposition_2_14_3) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( meet(X3,X1,X2)
& part_of(X1,X0)
& part_of(X2,X0) )
=> ~ end_point(X3,X0) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& meet(X3,X1,X2)
& part_of(X1,X0)
& part_of(X2,X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& meet(X3,X1,X2)
& part_of(X1,X0)
& part_of(X2,X0) ),
inference(flattening,[],[f21]) ).
fof(f27,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f28,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X3] :
( ( end_point(X3,X1)
& end_point(X3,X2) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X3] :
( ( end_point(X3,X1)
& end_point(X3,X2) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2) ) ) ),
inference(flattening,[],[f34]) ).
fof(f42,plain,
( end_point(sK3,sK0)
& meet(sK3,sK1,sK2)
& part_of(sK1,sK0)
& part_of(sK2,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f22]) ).
fof(f43,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f44,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X2,X3] :
( part_of(X2,X3)
| part_of(X3,X2)
| ~ part_of(X2,X1)
| ~ part_of(X3,X1)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X3) ) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ? [X2,X3] :
( ~ part_of(X2,X3)
& ~ part_of(X3,X2)
& part_of(X2,X1)
& part_of(X3,X1)
& incident_c(X0,X2)
& incident_c(X0,X3) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK4(X0,X1),sK5(X0,X1))
& ~ part_of(sK5(X0,X1),sK4(X0,X1))
& part_of(sK4(X0,X1),X1)
& part_of(sK5(X0,X1),X1)
& incident_c(X0,sK4(X0,X1))
& incident_c(X0,sK5(X0,X1)) ) )
& ( ( incident_c(X0,X1)
& ! [X4,X5] :
( part_of(X4,X5)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5) ) )
| ~ end_point(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f48,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK6(X0,X1),X0)
& incident_c(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f48]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ? [X3] :
( ( ~ end_point(X3,X1)
| ~ end_point(X3,X2) )
& incident_c(X3,X1)
& incident_c(X3,X2) ) )
& ( ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X3] :
( ( end_point(X3,X1)
& end_point(X3,X2) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2) ) )
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ? [X3] :
( ( ~ end_point(X3,X1)
| ~ end_point(X3,X2) )
& incident_c(X3,X1)
& incident_c(X3,X2) ) )
& ( ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X3] :
( ( end_point(X3,X1)
& end_point(X3,X2) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2) ) )
| ~ meet(X0,X1,X2) ) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ? [X3] :
( ( ~ end_point(X3,X1)
| ~ end_point(X3,X2) )
& incident_c(X3,X1)
& incident_c(X3,X2) ) )
& ( ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X4] :
( ( end_point(X4,X1)
& end_point(X4,X2) )
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2) ) )
| ~ meet(X0,X1,X2) ) ),
inference(rectify,[],[f54]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ( ( ~ end_point(sK10(X1,X2),X1)
| ~ end_point(sK10(X1,X2),X2) )
& incident_c(sK10(X1,X2),X1)
& incident_c(sK10(X1,X2),X2) ) )
& ( ( incident_c(X0,X1)
& incident_c(X0,X2)
& ! [X4] :
( ( end_point(X4,X1)
& end_point(X4,X2) )
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2) ) )
| ~ meet(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X1,X2))],[f55]) ).
fof(f65,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f66,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) )
& ( ( incident_c(X0,X1)
& ~ end_point(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f68,plain,
! [X0] : inner_point(sK16(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X1,sK16(X0))],[f10]) ).
fof(f69,plain,
part_of(sK2,sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f70,plain,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
meet(sK3,sK1,sK2),
inference(cnf_transformation,[],[f42]) ).
fof(f72,plain,
end_point(sK3,sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
! [X0,X1,X4,X5] :
( ~ end_point(X0,X1)
| part_of(X5,X4)
| ~ part_of(X4,X1)
| ~ part_of(X5,X1)
| ~ incident_c(X0,X4)
| ~ incident_c(X0,X5)
| part_of(X4,X5) ),
inference(cnf_transformation,[],[f46]) ).
fof(f83,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f84,plain,
! [X0,X1] :
( incident_c(sK6(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f85,plain,
! [X0,X1] :
( ~ incident_c(sK6(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2)
| end_point(X4,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f91,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2)
| end_point(X4,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f92,plain,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f109,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f110,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f113,plain,
! [X0] : inner_point(sK16(X0),X0),
inference(cnf_transformation,[],[f68]) ).
fof(f120,plain,
! [X0] : ~ end_point(sK16(X0),X0),
inference(resolution,[],[f109,f113]) ).
fof(f121,plain,
! [X0] : incident_c(sK16(X0),X0),
inference(resolution,[],[f110,f113]) ).
fof(f123,plain,
incident_c(sK3,sK2),
inference(resolution,[],[f92,f71]) ).
fof(f124,plain,
incident_c(sK3,sK1),
inference(resolution,[],[f93,f71]) ).
fof(f148,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f85,f84]) ).
fof(f149,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f148]) ).
fof(f165,plain,
! [X0,X1] :
( incident_c(sK16(X0),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f83,f121]) ).
fof(f236,plain,
! [X0] :
( ~ incident_c(X0,sK2)
| ~ incident_c(X0,sK1)
| end_point(X0,sK2) ),
inference(resolution,[],[f90,f71]) ).
fof(f283,plain,
! [X0] :
( ~ incident_c(X0,sK2)
| ~ incident_c(X0,sK1)
| end_point(X0,sK1) ),
inference(resolution,[],[f91,f71]) ).
fof(f363,plain,
! [X0,X1] :
( ~ incident_c(sK3,X1)
| ~ part_of(X1,sK0)
| ~ part_of(X0,sK0)
| part_of(X0,X1)
| ~ incident_c(sK3,X0)
| part_of(X1,X0) ),
inference(resolution,[],[f75,f72]) ).
fof(f413,plain,
( ~ incident_c(sK16(sK2),sK1)
| end_point(sK16(sK2),sK2) ),
inference(resolution,[],[f236,f121]) ).
fof(f415,plain,
~ incident_c(sK16(sK2),sK1),
inference(forward_subsumption_resolution,[],[f413,f120]) ).
fof(f416,plain,
~ part_of(sK2,sK1),
inference(resolution,[],[f415,f165]) ).
fof(f432,plain,
! [X0] :
( ~ incident_c(sK16(X0),sK1)
| end_point(sK16(X0),sK1)
| ~ part_of(X0,sK2) ),
inference(resolution,[],[f283,f165]) ).
fof(f524,plain,
! [X0] :
( ~ part_of(sK1,sK0)
| ~ part_of(X0,sK0)
| part_of(X0,sK1)
| ~ incident_c(sK3,X0)
| part_of(sK1,X0) ),
inference(resolution,[],[f363,f124]) ).
fof(f531,plain,
! [X0] :
( ~ incident_c(sK3,X0)
| part_of(X0,sK1)
| ~ part_of(X0,sK0)
| part_of(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f524,f70]) ).
fof(f649,definition,
( spl17_35
<=> part_of(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl17_35])],[avatar_definition]) ).
fof(f650,plain,
( part_of(sK1,sK2)
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f651,plain,
( ~ part_of(sK1,sK2)
| spl17_35 ),
inference(avatar_component_clause,[],[f649]) ).
fof(f704,plain,
! [X0] :
( end_point(sK16(X0),sK1)
| ~ part_of(X0,sK2)
| ~ part_of(X0,sK1) ),
inference(resolution,[],[f432,f165]) ).
fof(f723,plain,
( ~ part_of(sK1,sK2)
| ~ part_of(sK1,sK1) ),
inference(resolution,[],[f704,f120]) ).
fof(f2443,plain,
( part_of(sK2,sK1)
| ~ part_of(sK2,sK0)
| part_of(sK1,sK2) ),
inference(resolution,[],[f531,f123]) ).
fof(f2452,plain,
( ~ part_of(sK2,sK0)
| part_of(sK1,sK2) ),
inference(forward_subsumption_resolution,[],[f2443,f416]) ).
fof(f2453,plain,
part_of(sK1,sK2),
inference(forward_subsumption_resolution,[],[f2452,f69]) ).
fof(f2454,plain,
( $false
| spl17_35 ),
inference(forward_subsumption_resolution,[],[f2453,f651]) ).
fof(f2455,plain,
spl17_35,
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2457,plain,
( ~ part_of(sK1,sK1)
| ~ spl17_35 ),
inference(forward_subsumption_resolution,[],[f723,f650]) ).
fof(f2460,plain,
( $false
| ~ spl17_35 ),
inference(forward_subsumption_resolution,[],[f2457,f149]) ).
fof(f2461,plain,
~ spl17_35,
inference(avatar_contradiction_clause,[],[f2460]) ).
cnf(s47,plain,
spl17_35,
inference(sat_conversion,[],[f2455]) ).
cnf(s49,plain,
~ spl17_35,
inference(sat_conversion,[],[f2461]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s47,s49]) ).
fof(f2462,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO094+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n007.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:54:25 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 3.60/1.58 % (1057643)Detected formulas, will run a generic FOF schedule.
% 3.60/1.58 % (1057649)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=1393751792:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.60/1.58 % (1057648)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=3946764174:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.60/1.58 % (1057653)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2256966484:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.60/1.58 % (1057652)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2687655270:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.60/1.58 % (1057650)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=581175377:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.60/1.58 % (1057654)dis-21_1_sil=8000:lcm=predicate:random_seed=3007973418: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)
% 3.60/1.58 % (1057651)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4263015246:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.60/1.58 % (1057651)Refutation not found, incomplete strategy
% 3.60/1.58 % (1057651)------------------------------
% 3.60/1.58 % (1057651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057651)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057651)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.58 % (1057651)Time elapsed: 0.004 s
% 3.60/1.58 % (1057651)Peak memory usage: 88 MB
% 3.60/1.58 % (1057651)Instructions burned: 6 (million)
% 3.60/1.58 % (1057652)Instruction limit reached!
% 3.60/1.58 % (1057652)------------------------------
% 3.60/1.58 % (1057652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057652)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057652)Termination reason: Instruction limit
% 3.60/1.58 % (1057652)Termination phase: Saturation
% 3.60/1.58 % (1057652)Time elapsed: 0.069 s
% 3.60/1.58 % (1057652)Peak memory usage: 88 MB
% 3.60/1.58 % (1057652)Instructions burned: 121 (million)
% 3.60/1.58 % (1057654)Instruction limit reached!
% 3.60/1.58 % (1057654)------------------------------
% 3.60/1.58 % (1057654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057654)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057654)Termination reason: Instruction limit
% 3.60/1.58 % (1057654)Termination phase: Saturation
% 3.60/1.58 % (1057654)Time elapsed: 0.076 s
% 3.60/1.58 % (1057654)Peak memory usage: 89 MB
% 3.60/1.58 % (1057654)Instructions burned: 129 (million)
% 3.60/1.58 % (1057653)Instruction limit reached!
% 3.60/1.58 % (1057653)------------------------------
% 3.60/1.58 % (1057653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057653)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057653)Termination reason: Instruction limit
% 3.60/1.58 % (1057653)Termination phase: Saturation
% 3.60/1.58 % (1057653)Time elapsed: 0.099 s
% 3.60/1.58 % (1057653)Peak memory usage: 89 MB
% 3.60/1.58 % (1057653)Instructions burned: 140 (million)
% 3.60/1.58 % (1057662)lrs+10_1_sil=8000:sp=occurrence:random_seed=1622953687:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.60/1.58 % (1057663)lrs+10_1_sil=32000:urr=on:br=off:random_seed=228200477:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.60/1.58 % (1057663)Refutation not found, incomplete strategy
% 3.60/1.58 % (1057663)------------------------------
% 3.60/1.58 % (1057663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057663)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057663)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.58 % (1057663)Time elapsed: 0.003 s
% 3.60/1.58 % (1057663)Peak memory usage: 88 MB
% 3.60/1.58 % (1057663)Instructions burned: 3 (million)
% 3.60/1.58 % (1057664)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2500611558:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.60/1.58 % (1057651)------------------------------
% 3.60/1.58 % (1057651)------------------------------
% 3.60/1.58 % (1057662)First to succeed.
% 3.60/1.58 % (1057662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1057643"
% 3.60/1.58 % (1057649)Also succeeded, but the first one will report.
% 3.60/1.58 % (1057668)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=3631194322:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.60/1.58 % (1057668)Also succeeded, but the first one will report.
% 3.60/1.58 % (1057664)Instruction limit reached!
% 3.60/1.58 % (1057664)------------------------------
% 3.60/1.58 % (1057664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.58 % (1057664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.58 % (1057664)CaDiCaL version: 2.1.3
% 3.60/1.58 % (1057664)Termination reason: Instruction limit
% 3.60/1.58 % (1057664)Termination phase: Saturation
% 3.60/1.58 % (1057664)Time elapsed: 0.185 s
% 3.60/1.58 % (1057664)Peak memory usage: 90 MB
% 3.60/1.58 % (1057664)Instructions burned: 328 (million)
% 3.60/1.58 % (1057663)------------------------------
% 3.60/1.58 % (1057663)------------------------------
% 3.60/1.58 % (1057670)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2293250456:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.60/1.58 % (1057662)Refutation found. Thanks to Tanya!
% 3.60/1.58 % SZS status Theorem for theBenchmark
% 3.60/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.77 % (1057662)------------------------------
% 5.72/1.77 % (1057662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.77 % (1057662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.77 % (1057662)CaDiCaL version: 2.1.3
% 5.72/1.77 % (1057662)Termination reason: Refutation
% 5.72/1.77 % (1057662)Time elapsed: 0.117 s
% 5.72/1.77 % (1057662)Peak memory usage: 91 MB
% 5.72/1.77 % (1057662)Instructions burned: 198 (million)
% 5.72/1.77 % (1057662)------------------------------
% 5.72/1.77 % (1057662)------------------------------
% 5.72/1.77 % (1057643)Success in time 0.729 s
% 5.72/1.77 % Vampire exiting
%------------------------------------------------------------------------------