%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO090+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:51:30 AM UTC 2026
% Result : Theorem 7.08s 1.96s
% Output : Refutation 8.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 10
% Syntax : Number of formulae : 122 ( 16 unt; 6 def)
% Number of atoms : 521 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 653 ( 254 ~; 293 |; 87 &)
% ( 14 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 7 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn 177 !; 19 ?)
% 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(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/sandbox2/benchmark/theBenchmark.p',meet_defn) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( part_of(X1,X0)
& incident_c(X3,X1)
& meet(X3,X0,X2) )
=> meet(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_12) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( part_of(X1,X0)
& incident_c(X3,X1)
& meet(X3,X0,X2) )
=> meet(X3,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f21,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,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(f23,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,[],[f22]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ~ meet(X3,X1,X2)
& part_of(X1,X0)
& incident_c(X3,X1)
& meet(X3,X0,X2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f41,plain,
? [X0,X1,X2,X3] :
( ~ meet(X3,X1,X2)
& part_of(X1,X0)
& incident_c(X3,X1)
& meet(X3,X0,X2) ),
inference(flattening,[],[f40]) ).
fof(f42,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,[],[f21]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK0(X0,X1),X0)
& incident_c(sK0(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f43]) ).
fof(f49,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,[],[f23]) ).
fof(f50,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,[],[f49]) ).
fof(f51,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,[],[f50]) ).
fof(f52,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))],[f51]) ).
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)
& ! [X3] :
( ( end_point(X3,X1)
& end_point(X3,X2) )
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2) ) )
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f56,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,[],[f55]) ).
fof(f57,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,[],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ( ( ~ end_point(sK4(X1,X2),X1)
| ~ end_point(sK4(X1,X2),X2) )
& incident_c(sK4(X1,X2),X1)
& incident_c(sK4(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,[sK4]),skolemize(X3,sK4(X1,X2))],[f57]) ).
fof(f68,plain,
( ~ meet(sK16,sK14,sK15)
& part_of(sK14,sK13)
& incident_c(sK16,sK14)
& meet(sK16,sK13,sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15),skolemize(X3,sK16)],[f41]) ).
fof(f69,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f70,plain,
! [X0,X1] :
( incident_c(sK0(X0,X1),X1)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0,X1] :
( ~ incident_c(sK0(X0,X1),X0)
| part_of(X1,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,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,[],[f52]) ).
fof(f80,plain,
! [X0,X1] :
( incident_c(X0,sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X0,X1] :
( incident_c(X0,sK2(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
! [X0,X1] :
( part_of(sK3(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f83,plain,
! [X0,X1] :
( part_of(sK2(X0,X1),X1)
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f84,plain,
! [X0,X1] :
( ~ part_of(sK3(X0,X1),sK2(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f85,plain,
! [X0,X1] :
( ~ part_of(sK2(X0,X1),sK3(X0,X1))
| ~ incident_c(X0,X1)
| end_point(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f89,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2)
| end_point(X4,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f90,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X1)
| ~ incident_c(X4,X2)
| end_point(X4,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f93,plain,
! [X2,X0,X1] :
( incident_c(sK4(X1,X2),X2)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f94,plain,
! [X2,X0,X1] :
( incident_c(sK4(X1,X2),X1)
| meet(X0,X1,X2)
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ end_point(sK4(X1,X2),X2)
| ~ incident_c(X0,X1)
| ~ incident_c(X0,X2)
| ~ end_point(sK4(X1,X2),X1)
| meet(X0,X1,X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f110,plain,
meet(sK16,sK13,sK15),
inference(cnf_transformation,[],[f68]) ).
fof(f111,plain,
incident_c(sK16,sK14),
inference(cnf_transformation,[],[f68]) ).
fof(f112,plain,
part_of(sK14,sK13),
inference(cnf_transformation,[],[f68]) ).
fof(f113,plain,
~ meet(sK16,sK14,sK15),
inference(cnf_transformation,[],[f68]) ).
fof(f118,plain,
! [X0] :
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK13)
| end_point(X0,sK15) ),
inference(resolution,[],[f89,f110]) ).
fof(f119,plain,
! [X0] :
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK13)
| end_point(X0,sK13) ),
inference(resolution,[],[f90,f110]) ).
fof(f120,plain,
! [X0,X1] :
( ~ incident_c(sK4(X0,sK15),sK13)
| ~ incident_c(X1,sK15)
| ~ incident_c(X1,X0)
| meet(X1,X0,sK15)
| end_point(sK4(X0,sK15),sK13) ),
inference(resolution,[],[f93,f119]) ).
fof(f121,plain,
! [X0,X1] :
( ~ incident_c(sK4(X0,sK15),sK13)
| ~ incident_c(X1,sK15)
| ~ incident_c(X1,X0)
| meet(X1,X0,sK15)
| end_point(sK4(X0,sK15),sK15) ),
inference(resolution,[],[f93,f118]) ).
fof(f128,plain,
incident_c(sK16,sK15),
inference(resolution,[],[f91,f110]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( incident_c(sK4(X0,X1),X2)
| meet(X3,X0,X1)
| ~ part_of(X0,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X0) ),
inference(resolution,[],[f69,f94]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4] :
( ~ incident_c(X3,X1)
| ~ part_of(X0,X2)
| meet(X3,X0,X1)
| ~ incident_c(X3,X0)
| incident_c(sK4(X0,X1),X4)
| ~ part_of(X2,X4) ),
inference(resolution,[],[f155,f69]) ).
fof(f201,plain,
! [X0] :
( part_of(X0,X0)
| part_of(X0,X0) ),
inference(resolution,[],[f70,f71]) ).
fof(f204,plain,
! [X2,X0,X1] :
( incident_c(sK0(X1,X0),X2)
| part_of(X0,X1)
| ~ part_of(X0,X2) ),
inference(resolution,[],[f70,f69]) ).
fof(f205,plain,
! [X0] : part_of(X0,X0),
inference(duplicate_literal_removal,[],[f201]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ part_of(X2,X3)
| ~ part_of(X0,X2)
| incident_c(sK0(X1,X0),X3)
| part_of(X0,X1) ),
inference(resolution,[],[f204,f69]) ).
fof(f223,plain,
! [X0,X1] :
( incident_c(sK0(X1,X0),sK13)
| ~ part_of(X0,sK14)
| part_of(X0,X1) ),
inference(resolution,[],[f209,f112]) ).
fof(f224,plain,
! [X0] :
( ~ part_of(X0,sK14)
| part_of(X0,sK13)
| part_of(X0,sK13) ),
inference(resolution,[],[f223,f71]) ).
fof(f226,plain,
! [X0] :
( ~ part_of(X0,sK14)
| part_of(X0,sK13) ),
inference(duplicate_literal_removal,[],[f224]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ incident_c(sK16,X0)
| meet(sK16,X0,sK15)
| ~ part_of(X0,X1)
| incident_c(sK4(X0,sK15),X2)
| ~ part_of(X1,X2) ),
inference(resolution,[],[f166,f128]) ).
fof(f354,plain,
! [X0,X1] :
( meet(sK16,sK14,sK15)
| ~ part_of(sK14,X0)
| incident_c(sK4(sK14,sK15),X1)
| ~ part_of(X0,X1) ),
inference(resolution,[],[f343,f111]) ).
fof(f359,plain,
! [X0,X1] :
( ~ part_of(sK14,X0)
| incident_c(sK4(sK14,sK15),X1)
| ~ part_of(X0,X1) ),
inference(forward_subsumption_resolution,[],[f354,f113]) ).
fof(f360,plain,
! [X0] :
( incident_c(sK4(sK14,sK15),X0)
| ~ part_of(sK13,X0) ),
inference(resolution,[],[f359,f112]) ).
fof(f361,plain,
! [X0] :
( ~ part_of(sK13,sK13)
| ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| meet(X0,sK14,sK15)
| end_point(sK4(sK14,sK15),sK15) ),
inference(resolution,[],[f360,f121]) ).
fof(f362,plain,
! [X0] :
( ~ part_of(sK13,sK13)
| ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| meet(X0,sK14,sK15)
| end_point(sK4(sK14,sK15),sK13) ),
inference(resolution,[],[f360,f120]) ).
fof(f368,plain,
! [X0] :
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| meet(X0,sK14,sK15)
| end_point(sK4(sK14,sK15),sK13) ),
inference(forward_subsumption_resolution,[],[f362,f205]) ).
fof(f369,plain,
! [X0] :
( ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14)
| meet(X0,sK14,sK15)
| end_point(sK4(sK14,sK15),sK15) ),
inference(forward_subsumption_resolution,[],[f361,f205]) ).
fof(f371,definition,
( spl17_24
<=> end_point(sK4(sK14,sK15),sK13) ),
introduced(definition,[new_symbols(definition,[spl17_24])],[avatar_definition]) ).
fof(f373,plain,
( end_point(sK4(sK14,sK15),sK13)
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f375,definition,
( spl17_25
<=> ! [X0] :
( ~ incident_c(X0,sK15)
| meet(X0,sK14,sK15)
| ~ incident_c(X0,sK14) ) ),
introduced(definition,[new_symbols(definition,[spl17_25])],[avatar_definition]) ).
fof(f376,plain,
( ! [X0] :
( meet(X0,sK14,sK15)
| ~ incident_c(X0,sK15)
| ~ incident_c(X0,sK14) )
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( spl17_24
| spl17_25 ),
inference(avatar_split_clause,[],[f368,f375,f371]) ).
fof(f379,definition,
( spl17_26
<=> end_point(sK4(sK14,sK15),sK15) ),
introduced(definition,[new_symbols(definition,[spl17_26])],[avatar_definition]) ).
fof(f381,plain,
( end_point(sK4(sK14,sK15),sK15)
| ~ spl17_26 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f382,plain,
( spl17_26
| spl17_25 ),
inference(avatar_split_clause,[],[f369,f375,f379]) ).
fof(f383,plain,
( ~ incident_c(sK16,sK15)
| ~ incident_c(sK16,sK14)
| ~ spl17_25 ),
inference(resolution,[],[f376,f113]) ).
fof(f397,plain,
( ~ incident_c(sK16,sK14)
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f383,f128]) ).
fof(f398,plain,
( $false
| ~ spl17_25 ),
inference(forward_subsumption_resolution,[],[f397,f111]) ).
fof(f399,plain,
~ spl17_25,
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f401,plain,
( ! [X0,X1] :
( ~ incident_c(sK4(sK14,sK15),X1)
| ~ part_of(X1,sK13)
| ~ part_of(X0,sK13)
| part_of(X0,X1)
| ~ incident_c(sK4(sK14,sK15),X0)
| part_of(X1,X0) )
| ~ spl17_24 ),
inference(resolution,[],[f373,f78]) ).
fof(f408,plain,
( ! [X0,X1] :
( ~ part_of(sK2(sK4(sK14,sK15),X0),sK13)
| ~ part_of(X1,sK13)
| part_of(X1,sK2(sK4(sK14,sK15),X0))
| ~ incident_c(sK4(sK14,sK15),X1)
| part_of(sK2(sK4(sK14,sK15),X0),X1)
| ~ incident_c(sK4(sK14,sK15),X0)
| end_point(sK4(sK14,sK15),X0) )
| ~ spl17_24 ),
inference(resolution,[],[f401,f81]) ).
fof(f496,plain,
( ! [X0] :
( ~ incident_c(X0,sK14)
| ~ incident_c(X0,sK15)
| ~ end_point(sK4(sK14,sK15),sK14)
| meet(X0,sK14,sK15) )
| ~ spl17_26 ),
inference(resolution,[],[f95,f381]) ).
fof(f498,definition,
( spl17_41
<=> end_point(sK4(sK14,sK15),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_41])],[avatar_definition]) ).
fof(f500,plain,
( ~ end_point(sK4(sK14,sK15),sK14)
| spl17_41 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f501,plain,
( ~ spl17_41
| spl17_25
| ~ spl17_26 ),
inference(avatar_split_clause,[],[f496,f379,f375,f498]) ).
fof(f507,plain,
! [X0] :
( incident_c(sK4(sK14,sK15),X0)
| ~ part_of(sK14,X0) ),
inference(resolution,[],[f205,f359]) ).
fof(f540,plain,
! [X0] :
( part_of(sK2(X0,sK14),sK13)
| end_point(X0,sK14)
| ~ incident_c(X0,sK14) ),
inference(resolution,[],[f83,f226]) ).
fof(f543,plain,
( ! [X0] :
( end_point(sK4(sK14,sK15),sK14)
| ~ incident_c(sK4(sK14,sK15),sK14)
| ~ part_of(X0,sK13)
| part_of(X0,sK2(sK4(sK14,sK15),sK14))
| ~ incident_c(sK4(sK14,sK15),X0)
| part_of(sK2(sK4(sK14,sK15),sK14),X0)
| ~ incident_c(sK4(sK14,sK15),sK14)
| end_point(sK4(sK14,sK15),sK14) )
| ~ spl17_24 ),
inference(resolution,[],[f540,f408]) ).
fof(f545,plain,
( ! [X0] :
( end_point(sK4(sK14,sK15),sK14)
| ~ incident_c(sK4(sK14,sK15),sK14)
| ~ part_of(X0,sK13)
| part_of(X0,sK2(sK4(sK14,sK15),sK14))
| ~ incident_c(sK4(sK14,sK15),X0)
| part_of(sK2(sK4(sK14,sK15),sK14),X0) )
| ~ spl17_24 ),
inference(duplicate_literal_removal,[],[f543]) ).
fof(f546,plain,
( ! [X0] :
( ~ incident_c(sK4(sK14,sK15),sK14)
| ~ part_of(X0,sK13)
| part_of(X0,sK2(sK4(sK14,sK15),sK14))
| ~ incident_c(sK4(sK14,sK15),X0)
| part_of(sK2(sK4(sK14,sK15),sK14),X0) )
| ~ spl17_24
| spl17_41 ),
inference(forward_subsumption_resolution,[],[f545,f500]) ).
fof(f548,definition,
( spl17_42
<=> ! [X0] :
( ~ part_of(X0,sK13)
| part_of(sK2(sK4(sK14,sK15),sK14),X0)
| ~ incident_c(sK4(sK14,sK15),X0)
| part_of(X0,sK2(sK4(sK14,sK15),sK14)) ) ),
introduced(definition,[new_symbols(definition,[spl17_42])],[avatar_definition]) ).
fof(f549,plain,
( ! [X0] :
( part_of(sK2(sK4(sK14,sK15),sK14),X0)
| part_of(X0,sK2(sK4(sK14,sK15),sK14))
| ~ incident_c(sK4(sK14,sK15),X0)
| ~ part_of(X0,sK13) )
| ~ spl17_42 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,definition,
( spl17_43
<=> incident_c(sK4(sK14,sK15),sK14) ),
introduced(definition,[new_symbols(definition,[spl17_43])],[avatar_definition]) ).
fof(f552,plain,
( incident_c(sK4(sK14,sK15),sK14)
| ~ spl17_43 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f553,plain,
( ~ incident_c(sK4(sK14,sK15),sK14)
| spl17_43 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( spl17_42
| ~ spl17_43
| ~ spl17_24
| spl17_41 ),
inference(avatar_split_clause,[],[f546,f498,f371,f551,f548]) ).
fof(f556,plain,
( ~ part_of(sK14,sK14)
| spl17_43 ),
inference(resolution,[],[f553,f507]) ).
fof(f564,plain,
( $false
| spl17_43 ),
inference(forward_subsumption_resolution,[],[f556,f205]) ).
fof(f565,plain,
spl17_43,
inference(avatar_contradiction_clause,[],[f564]) ).
fof(f571,plain,
( part_of(sK2(sK4(sK14,sK15),sK14),sK3(sK4(sK14,sK15),sK14))
| ~ incident_c(sK4(sK14,sK15),sK3(sK4(sK14,sK15),sK14))
| ~ part_of(sK3(sK4(sK14,sK15),sK14),sK13)
| ~ incident_c(sK4(sK14,sK15),sK14)
| end_point(sK4(sK14,sK15),sK14)
| ~ spl17_42 ),
inference(resolution,[],[f549,f84]) ).
fof(f573,plain,
( ~ incident_c(sK4(sK14,sK15),sK3(sK4(sK14,sK15),sK14))
| ~ part_of(sK3(sK4(sK14,sK15),sK14),sK13)
| ~ incident_c(sK4(sK14,sK15),sK14)
| end_point(sK4(sK14,sK15),sK14)
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f571,f85]) ).
fof(f575,plain,
( ~ part_of(sK3(sK4(sK14,sK15),sK14),sK13)
| ~ incident_c(sK4(sK14,sK15),sK14)
| end_point(sK4(sK14,sK15),sK14)
| ~ spl17_42 ),
inference(forward_subsumption_resolution,[],[f573,f80]) ).
fof(f577,plain,
( ~ part_of(sK3(sK4(sK14,sK15),sK14),sK13)
| end_point(sK4(sK14,sK15),sK14)
| ~ spl17_42
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f575,f552]) ).
fof(f587,plain,
( ~ part_of(sK3(sK4(sK14,sK15),sK14),sK13)
| spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f577,f500]) ).
fof(f600,plain,
! [X0] :
( part_of(sK3(X0,sK14),sK13)
| end_point(X0,sK14)
| ~ incident_c(X0,sK14) ),
inference(resolution,[],[f82,f226]) ).
fof(f603,plain,
( end_point(sK4(sK14,sK15),sK14)
| ~ incident_c(sK4(sK14,sK15),sK14)
| spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(resolution,[],[f600,f587]) ).
fof(f608,plain,
( ~ incident_c(sK4(sK14,sK15),sK14)
| spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f603,f500]) ).
fof(f610,plain,
( $false
| spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(forward_subsumption_resolution,[],[f608,f552]) ).
fof(f611,plain,
( spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(avatar_contradiction_clause,[],[f610]) ).
cnf(s17,plain,
( spl17_24
| spl17_25 ),
inference(sat_conversion,[],[f377]) ).
cnf(s18,plain,
( spl17_25
| spl17_26 ),
inference(sat_conversion,[],[f382]) ).
cnf(s20,plain,
~ spl17_25,
inference(sat_conversion,[],[f399]) ).
cnf(s31,plain,
( spl17_25
| ~ spl17_26
| ~ spl17_41 ),
inference(sat_conversion,[],[f501]) ).
cnf(s32,plain,
( ~ spl17_24
| spl17_41
| spl17_42
| ~ spl17_43 ),
inference(sat_conversion,[],[f554]) ).
cnf(s34,plain,
spl17_43,
inference(sat_conversion,[],[f565]) ).
cnf(s37,plain,
( spl17_41
| ~ spl17_42
| ~ spl17_43 ),
inference(sat_conversion,[],[f611]) ).
cnf(s38,plain,
( ~ spl17_24
| spl17_41
| spl17_42 ),
inference(rat,[],[s32,s34]) ).
cnf(s39,plain,
spl17_26,
inference(rat,[],[s18,s20]) ).
cnf(s40,plain,
~ spl17_41,
inference(rat,[],[s31,s20,s39]) ).
cnf(s43,plain,
~ spl17_42,
inference(rat,[],[s37,s34,s40]) ).
cnf(s44,plain,
~ spl17_24,
inference(rat,[],[s38,s43,s40]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s17,s20,s44]) ).
fof(f612,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO090+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 07:01:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 7.08/1.96 % (3212009)Detected formulas, will run a generic FOF schedule.
% 7.08/1.96 % (3212015)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=2883200334:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.08/1.96 % (3212018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2781011960:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.08/1.96 % (3212014)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=2012153733:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.08/1.96 % (3212016)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=2684634196:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.08/1.96 % (3212017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=947123168:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.08/1.96 % (3212017)Refutation not found, incomplete strategy
% 7.08/1.96 % (3212017)------------------------------
% 7.08/1.96 % (3212017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212017)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212017)Termination reason: Refutation not found, incomplete strategy
% 7.08/1.96 % (3212017)Time elapsed: 0.005 s
% 7.08/1.96 % (3212017)Peak memory usage: 88 MB
% 7.08/1.96 % (3212017)Instructions burned: 6 (million)
% 7.08/1.96 % (3212020)dis-21_1_sil=8000:lcm=predicate:random_seed=1196794689: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)
% 7.08/1.96 % (3212019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1700472993:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.08/1.96 % (3212018)Instruction limit reached!
% 7.08/1.96 % (3212018)------------------------------
% 7.08/1.96 % (3212018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212018)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212018)Termination reason: Instruction limit
% 7.08/1.96 % (3212018)Termination phase: Saturation
% 7.08/1.96 % (3212018)Time elapsed: 0.072 s
% 7.08/1.96 % (3212018)Peak memory usage: 88 MB
% 7.08/1.96 % (3212018)Instructions burned: 120 (million)
% 7.08/1.96 % (3212020)Instruction limit reached!
% 7.08/1.96 % (3212020)------------------------------
% 7.08/1.96 % (3212020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212020)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212020)Termination reason: Instruction limit
% 7.08/1.96 % (3212020)Termination phase: Saturation
% 7.08/1.96 % (3212020)Time elapsed: 0.074 s
% 7.08/1.96 % (3212020)Peak memory usage: 89 MB
% 7.08/1.96 % (3212020)Instructions burned: 129 (million)
% 7.08/1.96 % (3212019)Instruction limit reached!
% 7.08/1.96 % (3212019)------------------------------
% 7.08/1.96 % (3212019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212019)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212019)Termination reason: Instruction limit
% 7.08/1.96 % (3212019)Termination phase: Saturation
% 7.08/1.96 % (3212019)Time elapsed: 0.097 s
% 7.08/1.96 % (3212019)Peak memory usage: 89 MB
% 7.08/1.96 % (3212019)Instructions burned: 141 (million)
% 7.08/1.96 % (3212028)lrs+10_1_sil=8000:sp=occurrence:random_seed=4289712721:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.08/1.96 % (3212029)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1879200948:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.08/1.96 % (3212017)------------------------------
% 7.08/1.96 % (3212017)------------------------------
% 7.08/1.96 % (3212030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2569307819:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.08/1.96 % (3212029)Instruction limit reached!
% 7.08/1.96 % (3212029)------------------------------
% 7.08/1.96 % (3212029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212029)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212029)Termination reason: Instruction limit
% 7.08/1.96 % (3212029)Termination phase: Saturation
% 7.08/1.96 % (3212029)Time elapsed: 0.083 s
% 7.08/1.96 % (3212029)Peak memory usage: 89 MB
% 7.08/1.96 % (3212029)Instructions burned: 157 (million)
% 7.08/1.96 % (3212028)Instruction limit reached!
% 7.08/1.96 % (3212028)------------------------------
% 7.08/1.96 % (3212028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212028)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212028)Termination reason: Instruction limit
% 7.08/1.96 % (3212028)Termination phase: Saturation
% 7.08/1.96 % (3212028)Time elapsed: 0.165 s
% 7.08/1.96 % (3212028)Peak memory usage: 91 MB
% 7.08/1.96 % (3212028)Instructions burned: 286 (million)
% 7.08/1.96 % (3212034)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=745335351:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.08/1.96 % (3212030)Instruction limit reached!
% 7.08/1.96 % (3212030)------------------------------
% 7.08/1.96 % (3212030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212030)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212030)Termination reason: Instruction limit
% 7.08/1.96 % (3212030)Termination phase: Saturation
% 7.08/1.96 % (3212030)Time elapsed: 0.209 s
% 7.08/1.96 % (3212030)Peak memory usage: 91 MB
% 7.08/1.96 % (3212030)Instructions burned: 326 (million)
% 7.08/1.96 % (3212035)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=626941232:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.08/1.96 % (3212036)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2887651020:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 7.08/1.96 % (3212034)Instruction limit reached!
% 7.08/1.96 % (3212034)------------------------------
% 7.08/1.96 % (3212034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212034)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212034)Termination reason: Instruction limit
% 7.08/1.96 % (3212034)Termination phase: Saturation
% 7.08/1.96 % (3212034)Time elapsed: 0.135 s
% 7.08/1.96 % (3212034)Peak memory usage: 90 MB
% 7.08/1.96 % (3212034)Instructions burned: 249 (million)
% 7.08/1.96 % (3212039)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1998737126:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.08/1.96 % (3212035)Instruction limit reached!
% 7.08/1.96 % (3212035)------------------------------
% 7.08/1.96 % (3212035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212035)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212035)Termination reason: Instruction limit
% 7.08/1.96 % (3212035)Termination phase: Saturation
% 7.08/1.96 % (3212035)Time elapsed: 0.163 s
% 7.08/1.96 % (3212035)Peak memory usage: 89 MB
% 7.08/1.96 % (3212035)Instructions burned: 295 (million)
% 7.08/1.96 % (3212014)First to succeed.
% 7.08/1.96 % (3212014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3212009"
% 7.08/1.96 % (3212039)Instruction limit reached!
% 7.08/1.96 % (3212039)------------------------------
% 7.08/1.96 % (3212039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212039)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212039)Termination reason: Instruction limit
% 7.08/1.96 % (3212039)Termination phase: Saturation
% 7.08/1.96 % (3212039)Time elapsed: 0.071 s
% 7.08/1.96 % (3212039)Peak memory usage: 90 MB
% 7.08/1.96 % (3212039)Instructions burned: 114 (million)
% 7.08/1.96 % (3212041)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1724766415:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.08/1.96 % (3212041)Instruction limit reached!
% 7.08/1.96 % (3212041)------------------------------
% 7.08/1.96 % (3212041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212041)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212041)Termination reason: Instruction limit
% 7.08/1.96 % (3212041)Termination phase: Saturation
% 7.08/1.96 % (3212041)Time elapsed: 0.065 s
% 7.08/1.96 % (3212041)Peak memory usage: 89 MB
% 7.08/1.96 % (3212041)Instructions burned: 127 (million)
% 7.08/1.96 % (3212043)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1261174405:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.08/1.96 % (3212044)lrs+10_1_sil=8000:sp=occurrence:random_seed=1592749832:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.08/1.96 % (3212043)Instruction limit reached!
% 7.08/1.96 % (3212043)------------------------------
% 7.08/1.96 % (3212043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.08/1.96 % (3212043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.08/1.96 % (3212043)CaDiCaL version: 2.1.3
% 7.08/1.96 % (3212043)Termination reason: Instruction limit
% 7.08/1.96 % (3212043)Termination phase: Saturation
% 7.08/1.96 % (3212043)Time elapsed: 0.066 s
% 7.08/1.96 % (3212043)Peak memory usage: 89 MB
% 7.08/1.96 % (3212043)Instructions burned: 115 (million)
% 7.08/1.96 % (3212014)Refutation found. Thanks to Tanya!
% 7.08/1.96 % SZS status Theorem for theBenchmark
% 7.08/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.44/2.16 % (3212014)------------------------------
% 8.44/2.16 % (3212014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.16 % (3212014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.16 % (3212014)CaDiCaL version: 2.1.3
% 8.44/2.16 % (3212014)Termination reason: Refutation
% 8.44/2.16 % (3212014)Time elapsed: 0.680 s
% 8.44/2.16 % (3212014)Peak memory usage: 129 MB
% 8.44/2.16 % (3212014)Instructions burned: 1009 (million)
% 8.44/2.16 % (3212014)------------------------------
% 8.44/2.16 % (3212014)------------------------------
% 8.44/2.16 % (3212009)Success in time 1.103 s
% 8.44/2.16 % Vampire exiting
%------------------------------------------------------------------------------