%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO109+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:51:34 AM UTC 2026
% Result : Theorem 15.85s 3.09s
% Output : Refutation 16.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of formulae : 124 ( 10 unt; 4 def)
% Number of atoms : 528 ( 22 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 690 ( 286 ~; 295 |; 88 &)
% ( 14 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 258 ( 0 sgn 223 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',inner_point_defn) ).
fof(f7,axiom,
! [X0] :
( open(X0)
<=> ? [X1] : end_point(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',open_defn) ).
fof(f13,axiom,
! [X0,X1] :
( end_point(X1,X0)
=> ? [X2] :
( end_point(X2,X0)
& X1 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',between_c_defn) ).
fof(f18,conjecture,
! [X0,X1] :
( open(X0)
=> ( end_point(X1,X0)
<=> ( incident_c(X1,X0)
& ~ ? [X2,X3] : between_c(X0,X2,X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_6) ).
fof(f19,negated_conjecture,
~ ! [X0,X1] :
( open(X0)
=> ( end_point(X1,X0)
<=> ( incident_c(X1,X0)
& ~ ? [X2,X3] : between_c(X0,X2,X1,X3) ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0] :
( open(X0)
=> ? [X1] : end_point(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f22,plain,
? [X0,X1] :
( ( end_point(X1,X0)
<~> ( incident_c(X1,X0)
& ! [X2,X3] : ~ between_c(X0,X2,X1,X3) ) )
& open(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f26,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(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(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0,X1] :
( ? [X2] :
( end_point(X2,X0)
& X1 != X2 )
| ~ end_point(X1,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0] :
( ? [X1] : end_point(X1,X0)
| ~ open(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f42,plain,
? [X0,X1] :
( ( ~ incident_c(X1,X0)
| ? [X2,X3] : between_c(X0,X2,X1,X3)
| ~ end_point(X1,X0) )
& ( ( incident_c(X1,X0)
& ! [X2,X3] : ~ between_c(X0,X2,X1,X3) )
| end_point(X1,X0) )
& open(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f43,plain,
? [X0,X1] :
( ( ~ incident_c(X1,X0)
| ? [X2,X3] : between_c(X0,X2,X1,X3)
| ~ end_point(X1,X0) )
& ( ( incident_c(X1,X0)
& ! [X2,X3] : ~ between_c(X0,X2,X1,X3) )
| end_point(X1,X0) )
& open(X0) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
? [X0,X1] :
( ( ~ incident_c(X1,X0)
| ? [X2,X3] : between_c(X0,X2,X1,X3)
| ~ end_point(X1,X0) )
& ( ( incident_c(X1,X0)
& ! [X4,X5] : ~ between_c(X0,X4,X1,X5) )
| end_point(X1,X0) )
& open(X0) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
( ( ~ incident_c(sK1,sK0)
| between_c(sK0,sK2,sK1,sK3)
| ~ end_point(sK1,sK0) )
& ( ( incident_c(sK1,sK0)
& ! [X4,X5] : ~ between_c(sK0,X4,sK1,X5) )
| end_point(sK1,sK0) )
& open(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f44]) ).
fof(f52,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(f53,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,[],[f52]) ).
fof(f54,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,[],[f27]) ).
fof(f55,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,[],[f54]) ).
fof(f56,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,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ~ incident_c(X0,X1)
| ( ~ part_of(sK6(X0,X1),sK7(X0,X1))
& ~ part_of(sK7(X0,X1),sK6(X0,X1))
& part_of(sK6(X0,X1),X1)
& part_of(sK7(X0,X1),X1)
& incident_c(X0,sK6(X0,X1))
& incident_c(X0,sK7(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,[sK6,sK7]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1))],[f56]) ).
fof(f62,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,[],[f28]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK9(X0,X1),X0)
& incident_c(sK9(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f63]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X4] :
( part_of(X4,X0)
& end_point(X1,X4)
& end_point(X3,X4)
& inner_point(X2,X4) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& ? [X5] :
( part_of(X5,X0)
& end_point(X1,X5)
& end_point(X3,X5)
& inner_point(X2,X5) ) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| X1 = X3
| ! [X4] :
( ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ) )
& ( ( X1 != X3
& part_of(sK10(X0,X1,X2,X3),X0)
& end_point(X1,sK10(X0,X1,X2,X3))
& end_point(X3,sK10(X0,X1,X2,X3))
& inner_point(X2,sK10(X0,X1,X2,X3)) )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X5,sK10(X0,X1,X2,X3))],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( end_point(sK11(X0,X1),X0)
& sK11(X0,X1) != X1 )
| ~ end_point(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f31]) ).
fof(f70,plain,
! [X0] :
( end_point(sK12(X0),X0)
| ~ open(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X1,sK12(X0))],[f36]) ).
fof(f76,plain,
open(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
! [X4,X5] :
( ~ between_c(sK0,X4,sK1,X5)
| end_point(sK1,sK0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f78,plain,
( incident_c(sK1,sK0)
| end_point(sK1,sK0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
( ~ incident_c(sK1,sK0)
| between_c(sK0,sK2,sK1,sK3)
| ~ end_point(sK1,sK0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f89,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f90,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f91,plain,
! [X0,X1] :
( inner_point(X0,X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f92,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,[],[f57]) ).
fof(f93,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f94,plain,
! [X0,X1] :
( incident_c(X0,sK7(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f95,plain,
! [X0,X1] :
( incident_c(X0,sK6(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f96,plain,
! [X0,X1] :
( part_of(sK7(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f97,plain,
! [X0,X1] :
( part_of(sK6(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f98,plain,
! [X0,X1] :
( ~ part_of(sK7(X0,X1),sK6(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f99,plain,
! [X0,X1] :
( ~ part_of(sK6(X0,X1),sK7(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f106,plain,
! [X3,X0,X1] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0,X1] :
( incident_c(sK9(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0,X1] :
( ~ incident_c(sK9(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( inner_point(X2,sK10(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( part_of(sK10(X0,X1,X2,X3),X0)
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f68]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] :
( between_c(X0,X1,X2,X3)
| X1 = X3
| ~ part_of(X4,X0)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4)
| ~ inner_point(X2,X4) ),
inference(cnf_transformation,[],[f68]) ).
fof(f116,plain,
! [X0,X1] :
( sK11(X0,X1) != X1
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f117,plain,
! [X0,X1] :
( end_point(sK11(X0,X1),X0)
| ~ end_point(X1,X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f120,plain,
! [X0] :
( end_point(sK12(X0),X0)
| ~ open(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f133,definition,
( spl18_1
<=> end_point(sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f134,plain,
( ~ end_point(sK1,sK0)
| spl18_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f135,plain,
( end_point(sK1,sK0)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f137,definition,
( spl18_2
<=> ! [X4,X5] : ~ between_c(sK0,X4,sK1,X5) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f138,plain,
( ! [X4,X5] : ~ between_c(sK0,X4,sK1,X5)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f139,plain,
( spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f77,f137,f133]) ).
fof(f140,plain,
incident_c(sK1,sK0),
inference(forward_subsumption_resolution,[],[f78,f93]) ).
fof(f141,plain,
( between_c(sK0,sK2,sK1,sK3)
| ~ end_point(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f79,f93]) ).
fof(f143,definition,
( spl18_3
<=> between_c(sK0,sK2,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f145,plain,
( between_c(sK0,sK2,sK1,sK3)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( ~ spl18_1
| spl18_3 ),
inference(avatar_split_clause,[],[f141,f143,f133]) ).
fof(f148,plain,
( ! [X2,X0,X1] :
( ~ inner_point(sK1,X2)
| ~ part_of(X2,sK0)
| ~ end_point(X0,X2)
| ~ end_point(X1,X2)
| X0 = X1 )
| ~ spl18_2 ),
inference(resolution,[],[f114,f138]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ incident_c(sK9(X1,X0),X2)
| part_of(X0,X1)
| ~ part_of(X2,X1) ),
inference(resolution,[],[f108,f106]) ).
fof(f159,plain,
! [X2,X3,X0,X1] :
( ~ end_point(X2,sK10(X0,X1,X2,X3))
| ~ between_c(X0,X1,X2,X3) ),
inference(resolution,[],[f109,f89]) ).
fof(f166,plain,
( ! [X2,X0,X1] :
( end_point(sK1,X0)
| ~ incident_c(sK1,X0)
| ~ part_of(X0,sK0)
| ~ end_point(X1,X0)
| ~ end_point(X2,X0)
| X1 = X2 )
| ~ spl18_2 ),
inference(resolution,[],[f91,f148]) ).
fof(f168,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f107,f108]) ).
fof(f170,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f168]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( incident_c(X0,sK10(X1,X2,X0,X3))
| ~ between_c(X1,X2,X0,X3) ),
inference(resolution,[],[f90,f109]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( ~ incident_c(sK9(X1,X0),X3)
| ~ part_of(X2,X1)
| part_of(X0,X1)
| ~ part_of(X3,X2) ),
inference(resolution,[],[f157,f106]) ).
fof(f311,plain,
( ! [X0,X1] :
( ~ incident_c(sK1,sK0)
| ~ part_of(sK0,sK0)
| ~ end_point(X0,sK0)
| ~ end_point(X1,sK0)
| X0 = X1 )
| spl18_1
| ~ spl18_2 ),
inference(resolution,[],[f166,f134]) ).
fof(f326,plain,
( ! [X0,X1] :
( ~ part_of(sK0,sK0)
| ~ end_point(X0,sK0)
| ~ end_point(X1,sK0)
| X0 = X1 )
| spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f311,f140]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ end_point(X1,sK0)
| ~ end_point(X0,sK0)
| X0 = X1 )
| spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f326,f170]) ).
fof(f329,plain,
( ! [X0,X1] :
( sK11(sK0,X1) = X0
| ~ end_point(X0,sK0)
| ~ end_point(X1,sK0) )
| spl18_1
| ~ spl18_2 ),
inference(resolution,[],[f327,f117]) ).
fof(f341,plain,
( ! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sK0)
| ~ end_point(X0,sK0)
| ~ end_point(X1,sK0) )
| spl18_1
| ~ spl18_2 ),
inference(superposition,[],[f116,f329]) ).
fof(f344,plain,
( ! [X0,X1] :
( X0 != X1
| ~ end_point(X1,sK0)
| ~ end_point(X0,sK0) )
| spl18_1
| ~ spl18_2 ),
inference(duplicate_literal_removal,[],[f341]) ).
fof(f346,plain,
( ! [X0,X1] :
( ~ end_point(X1,sK0)
| ~ end_point(X0,sK0) )
| spl18_1
| ~ spl18_2 ),
inference(forward_subsumption_resolution,[],[f344,f327]) ).
fof(f348,definition,
( spl18_4
<=> ! [X0] : ~ end_point(X0,sK0) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f349,plain,
( ! [X0] : ~ end_point(X0,sK0)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( spl18_4
| spl18_4
| spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f346,f137,f133,f348,f348]) ).
fof(f353,plain,
( ~ open(sK0)
| ~ spl18_4 ),
inference(resolution,[],[f349,f120]) ).
fof(f354,plain,
( $false
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f353,f76]) ).
fof(f355,plain,
~ spl18_4,
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f356,plain,
( $false
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_subsumption_resolution,[],[f145,f138]) ).
fof(f357,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f361,plain,
( ! [X0,X1] :
( ~ incident_c(sK1,X1)
| ~ part_of(X1,sK0)
| ~ part_of(X0,sK0)
| part_of(X0,X1)
| ~ incident_c(sK1,X0)
| part_of(X1,X0) )
| ~ spl18_1 ),
inference(resolution,[],[f135,f92]) ).
fof(f366,plain,
( ! [X0,X1] :
( part_of(sK6(sK1,X0),X1)
| ~ part_of(X1,sK0)
| part_of(X1,sK6(sK1,X0))
| ~ incident_c(sK1,X1)
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(resolution,[],[f361,f95]) ).
fof(f373,plain,
( ! [X0] :
( ~ part_of(sK7(sK1,X0),sK0)
| part_of(sK7(sK1,X0),sK6(sK1,X0))
| ~ incident_c(sK1,sK7(sK1,X0))
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(resolution,[],[f366,f99]) ).
fof(f376,plain,
( ! [X0] :
( ~ part_of(sK7(sK1,X0),sK0)
| part_of(sK7(sK1,X0),sK6(sK1,X0))
| ~ incident_c(sK1,sK7(sK1,X0))
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(duplicate_literal_removal,[],[f373]) ).
fof(f377,plain,
( ! [X0] :
( ~ part_of(sK7(sK1,X0),sK0)
| ~ incident_c(sK1,sK7(sK1,X0))
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f376,f98]) ).
fof(f378,plain,
( ! [X0] :
( ~ part_of(sK7(sK1,X0),sK0)
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f377,f94]) ).
fof(f634,plain,
! [X2,X0,X1] :
( ~ part_of(X0,X1)
| part_of(X2,X1)
| ~ part_of(X2,X0)
| part_of(X2,X1) ),
inference(resolution,[],[f272,f107]) ).
fof(f644,plain,
! [X2,X0,X1] :
( part_of(X2,X1)
| ~ part_of(X0,X1)
| ~ part_of(X2,X0) ),
inference(duplicate_literal_removal,[],[f634]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ part_of(sK7(sK1,X1),X0)
| ~ part_of(X0,sK0)
| ~ part_of(sK6(sK1,X1),sK0)
| ~ incident_c(sK1,X1)
| end_point(sK1,X1) )
| ~ spl18_1 ),
inference(resolution,[],[f644,f378]) ).
fof(f653,plain,
( ! [X0] :
( ~ part_of(X0,sK0)
| ~ part_of(sK6(sK1,X0),sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(resolution,[],[f649,f96]) ).
fof(f656,plain,
( ! [X0] :
( ~ part_of(sK6(sK1,X0),sK0)
| ~ part_of(X0,sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f662,plain,
( ! [X0,X1] :
( ~ part_of(sK6(sK1,X0),X1)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0)
| ~ part_of(X1,sK0)
| ~ part_of(X0,sK0) )
| ~ spl18_1 ),
inference(resolution,[],[f656,f644]) ).
fof(f728,plain,
( ! [X0] :
( ~ incident_c(sK1,X0)
| end_point(sK1,X0)
| ~ part_of(X0,sK0)
| ~ part_of(X0,sK0)
| ~ incident_c(sK1,X0)
| end_point(sK1,X0) )
| ~ spl18_1 ),
inference(resolution,[],[f662,f97]) ).
fof(f731,plain,
( ! [X0] :
( end_point(sK1,X0)
| ~ incident_c(sK1,X0)
| ~ part_of(X0,sK0) )
| ~ spl18_1 ),
inference(duplicate_literal_removal,[],[f728]) ).
fof(f739,plain,
( ! [X2,X0,X1] :
( ~ incident_c(sK1,sK10(X0,X1,sK1,X2))
| ~ part_of(sK10(X0,X1,sK1,X2),sK0)
| ~ between_c(X0,X1,sK1,X2) )
| ~ spl18_1 ),
inference(resolution,[],[f731,f159]) ).
fof(f744,plain,
( ! [X2,X0,X1] :
( ~ part_of(sK10(X0,X1,sK1,X2),sK0)
| ~ between_c(X0,X1,sK1,X2) )
| ~ spl18_1 ),
inference(forward_subsumption_resolution,[],[f739,f181]) ).
fof(f746,plain,
( ! [X0,X1] :
( ~ between_c(sK0,X0,sK1,X1)
| ~ between_c(sK0,X0,sK1,X1) )
| ~ spl18_1 ),
inference(resolution,[],[f744,f112]) ).
fof(f756,plain,
( ! [X0,X1] : ~ between_c(sK0,X0,sK1,X1)
| ~ spl18_1 ),
inference(duplicate_literal_removal,[],[f746]) ).
fof(f757,plain,
( spl18_2
| ~ spl18_1 ),
inference(avatar_split_clause,[],[f756,f133,f137]) ).
cnf(s1,plain,
( spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f139]) ).
cnf(s2,plain,
( ~ spl18_1
| spl18_3 ),
inference(sat_conversion,[],[f146]) ).
cnf(s3,plain,
( spl18_4
| ~ spl18_2
| spl18_1
| spl18_4 ),
inference(sat_conversion,[],[f350]) ).
cnf(s4,plain,
( spl18_1
| ~ spl18_2
| spl18_4 ),
inference(rat,[],[s3]) ).
cnf(s5,plain,
~ spl18_4,
inference(sat_conversion,[],[f355]) ).
cnf(s6,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(sat_conversion,[],[f357]) ).
cnf(s14,plain,
( ~ spl18_1
| spl18_2 ),
inference(sat_conversion,[],[f757]) ).
cnf(s16,plain,
( spl18_1
| ~ spl18_2 ),
inference(rat,[],[s4,s5]) ).
cnf(s17,plain,
spl18_1,
inference(rat,[],[s1,s16]) ).
cnf(s18,plain,
spl18_2,
inference(rat,[],[s14,s17]) ).
cnf(s20,plain,
spl18_3,
inference(rat,[],[s2,s17]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s6,s20,s18]) ).
fof(f758,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO109+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 07:03:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 13.04/2.77 % (883079)Detected formulas, will run a generic FOF schedule.
% 13.04/2.77 % (883086)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=2196758856:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.04/2.77 % (883089)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3661535528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.04/2.77 % (883088)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1011019432:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.04/2.77 % (883084)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=915623803:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.04/2.77 % (883087)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3393628953:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.04/2.77 % (883085)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=2623156630:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.04/2.77 % (883090)dis-21_1_sil=8000:lcm=predicate:random_seed=43188407: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)
% 13.04/2.77 % (883087)Refutation not found, incomplete strategy
% 13.04/2.77 % (883087)------------------------------
% 13.04/2.77 % (883087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.77 % (883087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.77 % (883087)CaDiCaL version: 2.1.3
% 13.04/2.77 % (883087)Termination reason: Refutation not found, incomplete strategy
% 13.04/2.77 % (883087)Time elapsed: 0.003 s
% 13.04/2.77 % (883087)Peak memory usage: 88 MB
% 13.04/2.77 % (883087)Instructions burned: 2 (million)
% 13.04/2.77 % (883088)Instruction limit reached!
% 13.04/2.77 % (883088)------------------------------
% 13.04/2.77 % (883088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.77 % (883088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.77 % (883088)CaDiCaL version: 2.1.3
% 13.04/2.77 % (883088)Termination reason: Instruction limit
% 13.04/2.77 % (883088)Termination phase: Saturation
% 13.04/2.77 % (883088)Time elapsed: 0.063 s
% 13.04/2.77 % (883088)Peak memory usage: 88 MB
% 13.04/2.77 % (883088)Instructions burned: 120 (million)
% 13.04/2.77 % (883090)Instruction limit reached!
% 13.04/2.77 % (883090)------------------------------
% 13.04/2.77 % (883090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.77 % (883090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.77 % (883090)CaDiCaL version: 2.1.3
% 13.04/2.77 % (883090)Termination reason: Instruction limit
% 13.04/2.77 % (883090)Termination phase: Saturation
% 13.04/2.77 % (883090)Time elapsed: 0.071 s
% 13.04/2.77 % (883090)Peak memory usage: 89 MB
% 13.04/2.77 % (883090)Instructions burned: 130 (million)
% 13.04/2.77 % (883089)Instruction limit reached!
% 13.04/2.77 % (883089)------------------------------
% 13.04/2.77 % (883089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.77 % (883089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.04/2.77 % (883089)CaDiCaL version: 2.1.3
% 13.04/2.77 % (883089)Termination reason: Instruction limit
% 13.04/2.77 % (883089)Termination phase: Saturation
% 13.04/2.77 % (883089)Time elapsed: 0.097 s
% 13.04/2.77 % (883089)Peak memory usage: 90 MB
% 13.04/2.77 % (883089)Instructions burned: 140 (million)
% 13.04/2.77 % (883099)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3049262085:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.04/2.77 % (883098)lrs+10_1_sil=8000:sp=occurrence:random_seed=1654346560:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.04/2.77 % (883100)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3513247891:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.04/2.77 % (883087)------------------------------
% 13.04/2.77 % (883087)------------------------------
% 13.04/2.77 % (883099)Instruction limit reached!
% 13.04/2.77 % (883099)------------------------------
% 13.04/2.77 % (883099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.04/2.77 % (883099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883099)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883099)Termination reason: Instruction limit
% 15.85/3.09 % (883099)Termination phase: Saturation
% 15.85/3.09 % (883099)Time elapsed: 0.087 s
% 15.85/3.09 % (883099)Peak memory usage: 90 MB
% 15.85/3.09 % (883099)Instructions burned: 158 (million)
% 15.85/3.09 % (883098)Instruction limit reached!
% 15.85/3.09 % (883098)------------------------------
% 15.85/3.09 % (883098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883098)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883098)Termination reason: Instruction limit
% 15.85/3.09 % (883098)Termination phase: Saturation
% 15.85/3.09 % (883098)Time elapsed: 0.163 s
% 15.85/3.09 % (883098)Peak memory usage: 91 MB
% 15.85/3.09 % (883098)Instructions burned: 287 (million)
% 15.85/3.09 % (883104)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=3779743127:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.85/3.09 % (883105)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1780955677:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.85/3.09 % (883100)Instruction limit reached!
% 15.85/3.09 % (883100)------------------------------
% 15.85/3.09 % (883100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883100)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883100)Termination reason: Instruction limit
% 15.85/3.09 % (883100)Termination phase: Saturation
% 15.85/3.09 % (883100)Time elapsed: 0.208 s
% 15.85/3.09 % (883100)Peak memory usage: 91 MB
% 15.85/3.09 % (883100)Instructions burned: 326 (million)
% 15.85/3.09 % (883106)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2201846740:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.85/3.09 % (883104)Instruction limit reached!
% 15.85/3.09 % (883104)------------------------------
% 15.85/3.09 % (883104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883104)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883104)Termination reason: Instruction limit
% 15.85/3.09 % (883104)Termination phase: Saturation
% 15.85/3.09 % (883104)Time elapsed: 0.141 s
% 15.85/3.09 % (883104)Peak memory usage: 90 MB
% 15.85/3.09 % (883104)Instructions burned: 249 (million)
% 15.85/3.09 % (883109)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=635170921:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.85/3.09 % (883105)Instruction limit reached!
% 15.85/3.09 % (883105)------------------------------
% 15.85/3.09 % (883105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883105)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883105)Termination reason: Instruction limit
% 15.85/3.09 % (883105)Termination phase: Saturation
% 15.85/3.09 % (883105)Time elapsed: 0.166 s
% 15.85/3.09 % (883105)Peak memory usage: 88 MB
% 15.85/3.09 % (883105)Instructions burned: 295 (million)
% 15.85/3.09 % (883109)Instruction limit reached!
% 15.85/3.09 % (883109)------------------------------
% 15.85/3.09 % (883109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883109)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883109)Termination reason: Instruction limit
% 15.85/3.09 % (883109)Termination phase: Saturation
% 15.85/3.09 % (883109)Time elapsed: 0.073 s
% 15.85/3.09 % (883109)Peak memory usage: 89 MB
% 15.85/3.09 % (883109)Instructions burned: 113 (million)
% 15.85/3.09 % (883111)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1638264844:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.85/3.09 % (883113)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=702010358:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.85/3.09 % (883113)Refutation not found, incomplete strategy
% 15.85/3.09 % (883113)------------------------------
% 15.85/3.09 % (883113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883113)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883113)Termination reason: Refutation not found, incomplete strategy
% 15.85/3.09 % (883113)Time elapsed: 0.002 s
% 15.85/3.09 % (883113)Peak memory usage: 88 MB
% 15.85/3.09 % (883113)Instructions burned: 1 (million)
% 15.85/3.09 % (883111)Instruction limit reached!
% 15.85/3.09 % (883111)------------------------------
% 15.85/3.09 % (883111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883111)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883111)Termination reason: Instruction limit
% 15.85/3.09 % (883111)Termination phase: Saturation
% 15.85/3.09 % (883111)Time elapsed: 0.065 s
% 15.85/3.09 % (883111)Peak memory usage: 88 MB
% 15.85/3.09 % (883111)Instructions burned: 127 (million)
% 15.85/3.09 % (883114)lrs+10_1_sil=8000:sp=occurrence:random_seed=3628747157:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.85/3.09 % (883117)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=278393776:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.85/3.09 % (883117)Refutation not found, incomplete strategy
% 15.85/3.09 % (883117)------------------------------
% 15.85/3.09 % (883117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883117)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883117)Termination reason: Refutation not found, incomplete strategy
% 15.85/3.09 % (883117)Time elapsed: 0.003 s
% 15.85/3.09 % (883117)Peak memory usage: 88 MB
% 15.85/3.09 % (883117)Instructions burned: 2 (million)
% 15.85/3.09 % (883113)------------------------------
% 15.85/3.09 % (883113)------------------------------
% 15.85/3.09 % (883117)------------------------------
% 15.85/3.09 % (883117)------------------------------
% 15.85/3.09 % (883120)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4217248821:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 15.85/3.09 % (883122)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1385181928:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 15.85/3.09 % (883114)Instruction limit reached!
% 15.85/3.09 % (883114)------------------------------
% 15.85/3.09 % (883114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883114)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883114)Termination reason: Instruction limit
% 15.85/3.09 % (883114)Termination phase: Saturation
% 15.85/3.09 % (883114)Time elapsed: 0.520 s
% 15.85/3.09 % (883114)Peak memory usage: 96 MB
% 15.85/3.09 % (883114)Instructions burned: 908 (million)
% 15.85/3.09 % (883122)Instruction limit reached!
% 15.85/3.09 % (883122)------------------------------
% 15.85/3.09 % (883122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883122)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883122)Termination reason: Instruction limit
% 15.85/3.09 % (883122)Termination phase: Saturation
% 15.85/3.09 % (883122)Time elapsed: 0.076 s
% 15.85/3.09 % (883122)Peak memory usage: 89 MB
% 15.85/3.09 % (883122)Instructions burned: 135 (million)
% 15.85/3.09 % (883124)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=637939194:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 15.85/3.09 % (883125)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1162004809:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 15.85/3.09 % (883124)Instruction limit reached!
% 15.85/3.09 % (883124)------------------------------
% 15.85/3.09 % (883124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883124)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883124)Termination reason: Instruction limit
% 15.85/3.09 % (883124)Termination phase: Saturation
% 15.85/3.09 % (883124)Time elapsed: 0.267 s
% 15.85/3.09 % (883124)Peak memory usage: 89 MB
% 15.85/3.09 % (883124)Instructions burned: 593 (million)
% 15.85/3.09 % (883128)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1002981568:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 15.85/3.09 % (883120)First to succeed.
% 15.85/3.09 % (883120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-883079"
% 15.85/3.09 % (883128)Instruction limit reached!
% 15.85/3.09 % (883128)------------------------------
% 15.85/3.09 % (883128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883128)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883128)Termination reason: Instruction limit
% 15.85/3.09 % (883128)Termination phase: Saturation
% 15.85/3.09 % (883128)Time elapsed: 0.081 s
% 15.85/3.09 % (883128)Peak memory usage: 90 MB
% 15.85/3.09 % (883128)Instructions burned: 126 (million)
% 15.85/3.09 % (883084)Also succeeded, but the first one will report.
% 15.85/3.09 % (883130)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2800276003:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 15.85/3.09 % (883106)Instruction limit reached!
% 15.85/3.09 % (883106)------------------------------
% 15.85/3.09 % (883106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883106)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883106)Termination reason: Instruction limit
% 15.85/3.09 % (883106)Termination phase: Saturation
% 15.85/3.09 % (883106)Time elapsed: 1.515 s
% 15.85/3.09 % (883106)Peak memory usage: 140 MB
% 15.85/3.09 % (883106)Instructions burned: 2351 (million)
% 15.85/3.09 % (883130)Instruction limit reached!
% 15.85/3.09 % (883130)------------------------------
% 15.85/3.09 % (883130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.85/3.09 % (883130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.85/3.09 % (883130)CaDiCaL version: 2.1.3
% 15.85/3.09 % (883130)Termination reason: Instruction limit
% 15.85/3.09 % (883130)Termination phase: Saturation
% 15.85/3.09 % (883130)Time elapsed: 0.086 s
% 15.85/3.09 % (883130)Peak memory usage: 90 MB
% 15.85/3.09 % (883130)Instructions burned: 135 (million)
% 15.85/3.09 % (883120)Refutation found. Thanks to Tanya!
% 15.85/3.09 % SZS status Theorem for theBenchmark
% 15.85/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 16.36/3.28 % (883120)------------------------------
% 16.36/3.28 % (883120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.36/3.28 % (883120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.36/3.28 % (883120)CaDiCaL version: 2.1.3
% 16.36/3.28 % (883120)Termination reason: Refutation
% 16.36/3.28 % (883120)Time elapsed: 0.740 s
% 16.36/3.28 % (883120)Peak memory usage: 131 MB
% 16.36/3.28 % (883120)Instructions burned: 1116 (million)
% 16.36/3.28 % (883120)------------------------------
% 16.36/3.28 % (883120)------------------------------
% 16.36/3.28 % (883079)Success in time 2.239 s
% 16.36/3.28 % Vampire exiting
%------------------------------------------------------------------------------