%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO127+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 : n026.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 09:51:38 AM UTC 2026
% Result : Theorem 1.44s 1.41s
% Output : Refutation 4.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 98 ( 16 unt; 5 def)
% Number of atoms : 336 ( 13 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 393 ( 155 ~; 157 |; 61 &)
% ( 14 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 114 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
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(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',open_defn) ).
fof(f10,axiom,
! [X0] :
? [X1] : inner_point(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).
fof(f19,axiom,
! [X0,X1] :
( start_point(X0,X1)
<=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ordered_by(X0,X1,X2)
=> ( incident_o(X1,X0)
& incident_o(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o1) ).
fof(f22,axiom,
! [X0] :
? [X1] :
( open(X1)
& ! [X2] :
( incident_o(X2,X0)
<=> incident_c(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o2) ).
fof(f24,axiom,
! [X0] :
? [X1] : start_point(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o4) ).
fof(f28,conjecture,
! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12) ).
fof(f29,negated_conjecture,
~ ! [X0,X1] :
( incident_o(X1,X0)
<=> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( start_point(X0,X1)
=> ( incident_o(X0,X1)
& ! [X2] :
( ( X0 != X2
& incident_o(X2,X1) )
=> ordered_by(X1,X0,X2) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f51,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ start_point(X0,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f52,plain,
! [X0,X1] :
( ( incident_o(X0,X1)
& ! [X2] :
( ordered_by(X1,X0,X2)
| X0 = X2
| ~ incident_o(X2,X1) ) )
| ~ start_point(X0,X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ( incident_o(X1,X0)
& incident_o(X2,X0) )
| ~ ordered_by(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f57,plain,
? [X0,X1] :
( incident_o(X1,X0)
<~> ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,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,[],[f35]) ).
fof(f66,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,[],[f65]) ).
fof(f67,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,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK2(X0,X1),sK3(X0,X1))
& ~ part_of(sK3(X0,X1),sK2(X0,X1))
& part_of(sK2(X0,X1),X1)
& part_of(sK3(X0,X1),X1)
& incident_c(X0,sK2(X0,X1))
& incident_c(X0,sK3(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,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f67]) ).
fof(f69,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(f70,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,[],[f69]) ).
fof(f76,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X1] : end_point(X1,X0)
| ~ open(X0) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f77,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( ? [X2] : end_point(X2,X0)
| ~ open(X0) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0] :
( ( open(X0)
| ! [X1] : ~ end_point(X1,X0) )
& ( end_point(sK6(X0),X0)
| ~ open(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0))],[f77]) ).
fof(f79,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f10]) ).
fof(f92,plain,
! [X0] :
? [X1] :
( open(X1)
& ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,X1) )
& ( incident_c(X2,X1)
| ~ incident_o(X2,X0) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f93,plain,
! [X0] :
( open(sK14(X0))
& ! [X2] :
( ( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) )
& ( incident_c(X2,sK14(X0))
| ~ incident_o(X2,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f92]) ).
fof(f97,plain,
! [X0] : start_point(sK17(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f24]) ).
fof(f105,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X1,X2)
& ~ ordered_by(X0,X2,X1) )
| ~ incident_o(X1,X0) )
& ( ? [X2] :
( ordered_by(X0,X1,X2)
| ordered_by(X0,X2,X1) )
| incident_o(X1,X0) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f106,plain,
? [X0,X1] :
( ( ! [X2] :
( ~ ordered_by(X0,X1,X2)
& ~ ordered_by(X0,X2,X1) )
| ~ incident_o(X1,X0) )
& ( ? [X3] :
( ordered_by(X0,X1,X3)
| ordered_by(X0,X3,X1) )
| incident_o(X1,X0) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
( ( ! [X2] :
( ~ ordered_by(sK22,sK23,X2)
& ~ ordered_by(sK22,X2,sK23) )
| ~ incident_o(sK23,sK22) )
& ( ordered_by(sK22,sK23,sK24)
| ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X3,sK24)],[f106]) ).
fof(f118,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f125,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f126,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f136,plain,
! [X0] :
( ~ open(X0)
| end_point(sK6(X0),X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f140,plain,
! [X0] : inner_point(sK7(X0),X0),
inference(cnf_transformation,[],[f79]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| X0 = X2
| ~ incident_o(X2,X1)
| ordered_by(X1,X0,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f164,plain,
! [X2,X0,X1] :
( incident_o(X2,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
! [X2,X0,X1] :
( incident_o(X1,X0)
| ~ ordered_by(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f167,plain,
! [X2,X0] :
( incident_o(X2,X0)
| ~ incident_c(X2,sK14(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f168,plain,
! [X0] : open(sK14(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f174,plain,
! [X0] : start_point(sK17(X0),X0),
inference(cnf_transformation,[],[f97]) ).
fof(f184,plain,
( ordered_by(sK22,sK23,sK24)
| ordered_by(sK22,sK24,sK23)
| incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f185,plain,
! [X2] :
( ~ ordered_by(sK22,X2,sK23)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f186,plain,
! [X2] :
( ~ ordered_by(sK22,sK23,X2)
| ~ incident_o(sK23,sK22) ),
inference(cnf_transformation,[],[f107]) ).
fof(f195,definition,
( spl25_1
<=> incident_o(sK23,sK22) ),
introduced(definition,[new_symbols(definition,[spl25_1])],[avatar_definition]) ).
fof(f196,plain,
( ~ incident_o(sK23,sK22)
| spl25_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f197,plain,
( incident_o(sK23,sK22)
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f199,definition,
( spl25_2
<=> ordered_by(sK22,sK24,sK23) ),
introduced(definition,[new_symbols(definition,[spl25_2])],[avatar_definition]) ).
fof(f201,plain,
( ordered_by(sK22,sK24,sK23)
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl25_3
<=> ordered_by(sK22,sK23,sK24) ),
introduced(definition,[new_symbols(definition,[spl25_3])],[avatar_definition]) ).
fof(f205,plain,
( ordered_by(sK22,sK23,sK24)
| ~ spl25_3 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl25_1
| spl25_2
| spl25_3 ),
inference(avatar_split_clause,[],[f184,f203,f199,f195]) ).
fof(f208,definition,
( spl25_4
<=> ! [X2] : ~ ordered_by(sK22,X2,sK23) ),
introduced(definition,[new_symbols(definition,[spl25_4])],[avatar_definition]) ).
fof(f209,plain,
( ! [X2] : ~ ordered_by(sK22,X2,sK23)
| ~ spl25_4 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f210,plain,
( ~ spl25_1
| spl25_4 ),
inference(avatar_split_clause,[],[f185,f208,f195]) ).
fof(f212,definition,
( spl25_5
<=> ! [X2] : ~ ordered_by(sK22,sK23,X2) ),
introduced(definition,[new_symbols(definition,[spl25_5])],[avatar_definition]) ).
fof(f213,plain,
( ! [X2] : ~ ordered_by(sK22,sK23,X2)
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f214,plain,
( ~ spl25_1
| spl25_5 ),
inference(avatar_split_clause,[],[f186,f212,f195]) ).
fof(f216,plain,
( ! [X0] : ~ ordered_by(sK22,X0,sK23)
| spl25_1 ),
inference(resolution,[],[f164,f196]) ).
fof(f217,plain,
( spl25_4
| spl25_1 ),
inference(avatar_split_clause,[],[f216,f195,f208]) ).
fof(f218,plain,
( $false
| ~ spl25_2
| ~ spl25_4 ),
inference(resolution,[],[f209,f201]) ).
fof(f219,plain,
( ~ spl25_2
| ~ spl25_4 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f220,plain,
( ! [X0] : ~ ordered_by(sK22,sK23,X0)
| spl25_1 ),
inference(resolution,[],[f165,f196]) ).
fof(f221,plain,
( spl25_5
| spl25_1 ),
inference(avatar_split_clause,[],[f220,f195,f212]) ).
fof(f222,plain,
( $false
| ~ spl25_3
| ~ spl25_5 ),
inference(resolution,[],[f213,f205]) ).
fof(f223,plain,
( ~ spl25_3
| ~ spl25_5 ),
inference(avatar_contradiction_clause,[],[f222]) ).
fof(f225,plain,
! [X0] : incident_c(sK7(X0),X0),
inference(resolution,[],[f126,f140]) ).
fof(f227,plain,
! [X0] : end_point(sK6(sK14(X0)),sK14(X0)),
inference(resolution,[],[f136,f168]) ).
fof(f231,plain,
! [X0] : ~ inner_point(sK6(sK14(X0)),sK14(X0)),
inference(resolution,[],[f227,f125]) ).
fof(f232,plain,
! [X0] : incident_c(sK6(sK14(X0)),sK14(X0)),
inference(resolution,[],[f227,f118]) ).
fof(f233,plain,
! [X0,X1] :
( ordered_by(X0,sK17(X0),X1)
| ~ incident_o(X1,X0)
| sK17(X0) = X1 ),
inference(resolution,[],[f162,f174]) ).
fof(f280,plain,
( ~ incident_o(sK23,sK22)
| sK23 = sK17(sK22)
| ~ spl25_4 ),
inference(resolution,[],[f233,f209]) ).
fof(f286,plain,
( sK23 = sK17(sK22)
| ~ spl25_1
| ~ spl25_4 ),
inference(forward_subsumption_resolution,[],[f280,f197]) ).
fof(f288,plain,
( ! [X0] :
( ordered_by(sK22,sK23,X0)
| ~ incident_o(X0,sK22)
| sK23 = X0 )
| ~ spl25_1
| ~ spl25_4 ),
inference(superposition,[],[f233,f286]) ).
fof(f291,plain,
( ! [X0] :
( ~ incident_o(X0,sK22)
| sK23 = X0 )
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f288,f213]) ).
fof(f299,plain,
( ! [X0] :
( ~ incident_c(X0,sK14(sK22))
| sK23 = X0 )
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(resolution,[],[f291,f167]) ).
fof(f374,plain,
( sK23 = sK6(sK14(sK22))
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(resolution,[],[f299,f232]) ).
fof(f375,plain,
( sK23 = sK7(sK14(sK22))
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(resolution,[],[f299,f225]) ).
fof(f394,plain,
( ~ inner_point(sK23,sK14(sK22))
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(superposition,[],[f231,f374]) ).
fof(f424,plain,
( inner_point(sK23,sK14(sK22))
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(superposition,[],[f140,f375]) ).
fof(f425,plain,
( $false
| ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(forward_subsumption_resolution,[],[f424,f394]) ).
fof(f426,plain,
( ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(avatar_contradiction_clause,[],[f425]) ).
cnf(s1,plain,
( spl25_1
| spl25_2
| spl25_3 ),
inference(sat_conversion,[],[f206]) ).
cnf(s2,plain,
( ~ spl25_1
| spl25_4 ),
inference(sat_conversion,[],[f210]) ).
cnf(s3,plain,
( ~ spl25_1
| spl25_5 ),
inference(sat_conversion,[],[f214]) ).
cnf(s4,plain,
( spl25_1
| spl25_4 ),
inference(sat_conversion,[],[f217]) ).
cnf(s5,plain,
( ~ spl25_2
| ~ spl25_4 ),
inference(sat_conversion,[],[f219]) ).
cnf(s6,plain,
( spl25_1
| spl25_5 ),
inference(sat_conversion,[],[f221]) ).
cnf(s7,plain,
( ~ spl25_3
| ~ spl25_5 ),
inference(sat_conversion,[],[f223]) ).
cnf(s8,plain,
( ~ spl25_1
| ~ spl25_4
| ~ spl25_5 ),
inference(sat_conversion,[],[f426]) ).
cnf(s9,plain,
spl25_1,
inference(rat,[],[s1,s5,s7,s4,s6]) ).
cnf(s10,plain,
spl25_5,
inference(rat,[],[s3,s9]) ).
cnf(s11,plain,
spl25_4,
inference(rat,[],[s2,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s8,s10,s9,s11]) ).
fof(f427,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 07:10:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 1.44/1.41 % (2482318)Detected formulas, will run a generic FOF schedule.
% 1.44/1.41 % (2482341)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=1292254193:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.44/1.41 % (2482342)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3437495224:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.44/1.41 % (2482342)Refutation not found, incomplete strategy
% 1.44/1.41 % (2482342)------------------------------
% 1.44/1.41 % (2482342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.44/1.41 % (2482342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/1.41 % (2482342)CaDiCaL version: 2.1.3
% 1.44/1.41 % (2482342)Termination reason: Refutation not found, incomplete strategy
% 1.44/1.41 % (2482342)Time elapsed: 0.002 s
% 1.44/1.41 % (2482342)Peak memory usage: 88 MB
% 1.44/1.41 % (2482339)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=48773523:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.44/1.41 % (2482346)dis-21_1_sil=8000:lcm=predicate:random_seed=2107030921: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)
% 1.44/1.41 % (2482340)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=332494394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.44/1.41 % (2482345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2931463190:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.44/1.41 % (2482343)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4015786510:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.44/1.41 % (2482343)Refutation not found, incomplete strategy
% 1.44/1.41 % (2482343)------------------------------
% 1.44/1.41 % (2482343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.44/1.41 % (2482343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/1.41 % (2482343)CaDiCaL version: 2.1.3
% 1.44/1.41 % (2482343)Termination reason: Refutation not found, incomplete strategy
% 1.44/1.41 % (2482343)Time elapsed: 0.002 s
% 1.44/1.41 % (2482343)Peak memory usage: 88 MB
% 1.44/1.41 % (2482343)Instructions burned: 1 (million)
% 1.44/1.41 % (2482345)First to succeed.
% 1.44/1.41 % (2482345)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2482318"
% 1.44/1.41 % (2482346)Instruction limit reached!
% 1.44/1.41 % (2482346)------------------------------
% 1.44/1.41 % (2482346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.44/1.41 % (2482346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/1.41 % (2482346)CaDiCaL version: 2.1.3
% 1.44/1.41 % (2482346)Termination reason: Instruction limit
% 1.44/1.41 % (2482346)Termination phase: Saturation
% 1.44/1.41 % (2482346)Time elapsed: 0.114 s
% 1.44/1.41 % (2482346)Peak memory usage: 89 MB
% 1.44/1.41 % (2482346)Instructions burned: 129 (million)
% 1.44/1.41 % (2482345)Refutation found. Thanks to Tanya!
% 1.44/1.41 % SZS status Theorem for theBenchmark
% 1.44/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 4.36/1.62 % (2482345)------------------------------
% 4.36/1.62 % (2482345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.62 % (2482345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.62 % (2482345)CaDiCaL version: 2.1.3
% 4.36/1.62 % (2482345)Termination reason: Refutation
% 4.36/1.62 % (2482345)Time elapsed: 0.015 s
% 4.36/1.62 % (2482345)Peak memory usage: 90 MB
% 4.36/1.62 % (2482345)Instructions burned: 18 (million)
% 4.36/1.62 % (2482345)------------------------------
% 4.36/1.62 % (2482345)------------------------------
% 4.36/1.62 % (2482318)Success in time 0.521 s
% 4.36/1.62 % Vampire exiting
%------------------------------------------------------------------------------