%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG224+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:19:27 AM UTC 2026
% Result : Theorem 20.16s 4.39s
% Output : Refutation 21.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 56 ( 11 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 283 ( 122 ~; 112 |; 33 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 121 ( 106 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f16944,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r2_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( r2_hidden(X4,X2)
& ! [X5] :
~ ( r2_hidden(X5,X3)
& r1_tarski(X5,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_closure3) ).
fof(f16946,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_closure3) ).
fof(f16947,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( ( r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4) )
=> r2_closure3(X0,X1,X2,X4) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f16946]) ).
fof(f16963,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f16947]) ).
fof(f16964,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r2_closure3(X0,X1,X2,X4)
& r2_closure3(X0,X1,X2,X3)
& r2_closure3(X0,X1,X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f16963]) ).
fof(f16969,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r2_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ~ r2_hidden(X4,X2)
| ? [X5] :
( r2_hidden(X5,X3)
& r1_tarski(X5,X4) ) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f16944]) ).
fof(f17050,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f17051,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f17050]) ).
fof(f17801,plain,
( ~ r2_closure3(sK10,sK11,sK12,sK14)
& r2_closure3(sK10,sK11,sK12,sK13)
& r2_closure3(sK10,sK11,sK13,sK14)
& m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK10,sK11)))
& m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK10,sK11)))
& m1_subset_1(sK12,k1_zfmisc_1(k1_closure2(sK10,sK11)))
& m1_pboole(sK11,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14)],[f16964]) ).
fof(f17805,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ? [X4] :
( r2_hidden(X4,X2)
& ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,X4) ) ) )
& ( ! [X4] :
( ~ r2_hidden(X4,X2)
| ? [X5] :
( r2_hidden(X5,X3)
& r1_tarski(X5,X4) ) )
| ~ r2_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f16969]) ).
fof(f17806,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ? [X4] :
( r2_hidden(X4,X2)
& ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,X4) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X2)
| ? [X7] :
( r2_hidden(X7,X3)
& r1_tarski(X7,X6) ) )
| ~ r2_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f17805]) ).
fof(f17807,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ( r2_hidden(sK18(X2,X3),X2)
& ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK18(X2,X3)) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK19(X3,X6),X3)
& r1_tarski(sK19(X3,X6),X6) ) )
| ~ r2_closure3(X0,X1,X2,X3) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19]),skolemize(X4,sK18(X2,X3)),skolemize(X7,sK19(X3,X6))],[f17806]) ).
fof(f18144,plain,
m1_pboole(sK11,sK10),
inference(cnf_transformation,[],[f17801]) ).
fof(f18145,plain,
m1_subset_1(sK12,k1_zfmisc_1(k1_closure2(sK10,sK11))),
inference(cnf_transformation,[],[f17801]) ).
fof(f18146,plain,
m1_subset_1(sK13,k1_zfmisc_1(k1_closure2(sK10,sK11))),
inference(cnf_transformation,[],[f17801]) ).
fof(f18147,plain,
m1_subset_1(sK14,k1_zfmisc_1(k1_closure2(sK10,sK11))),
inference(cnf_transformation,[],[f17801]) ).
fof(f18148,plain,
r2_closure3(sK10,sK11,sK13,sK14),
inference(cnf_transformation,[],[f17801]) ).
fof(f18149,plain,
r2_closure3(sK10,sK11,sK12,sK13),
inference(cnf_transformation,[],[f17801]) ).
fof(f18150,plain,
~ r2_closure3(sK10,sK11,sK12,sK14),
inference(cnf_transformation,[],[f17801]) ).
fof(f18158,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_tarski(sK19(X3,X6),X6)
| ~ r2_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X6,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f17807]) ).
fof(f18159,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK19(X3,X6),X3)
| ~ r2_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X6,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f17807]) ).
fof(f18160,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK18(X2,X3))
| r2_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f17807]) ).
fof(f18161,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK18(X2,X3),X2)
| r2_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f17807]) ).
fof(f18270,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f17051]) ).
fof(f19981,plain,
! [X0,X1] :
( r1_tarski(sK19(sK14,X0),X0)
| ~ r2_closure3(sK10,sK11,X1,sK14)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18147,f18158]) ).
fof(f19982,plain,
! [X0,X1] :
( r2_hidden(sK19(sK14,X0),sK14)
| ~ r2_closure3(sK10,sK11,X1,sK14)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18147,f18159]) ).
fof(f19983,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ r2_closure3(sK10,sK11,X1,sK14)
| ~ r2_hidden(X0,X1)
| r2_hidden(sK19(sK14,X0),sK14) ),
inference(forward_subsumption_resolution,[],[f19982,f18144]) ).
fof(f19984,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ r2_closure3(sK10,sK11,X1,sK14)
| ~ r2_hidden(X0,X1)
| r1_tarski(sK19(sK14,X0),X0) ),
inference(forward_subsumption_resolution,[],[f19981,f18144]) ).
fof(f20009,plain,
! [X0] :
( ~ r2_closure3(sK10,sK11,sK13,sK14)
| ~ r2_hidden(X0,sK13)
| r2_hidden(sK19(sK14,X0),sK14) ),
inference(resolution,[],[f18146,f19983]) ).
fof(f20010,plain,
! [X0] :
( ~ r2_closure3(sK10,sK11,sK13,sK14)
| ~ r2_hidden(X0,sK13)
| r1_tarski(sK19(sK14,X0),X0) ),
inference(resolution,[],[f18146,f19984]) ).
fof(f20014,plain,
! [X0,X1] :
( r1_tarski(sK19(sK13,X0),X0)
| ~ r2_closure3(sK10,sK11,X1,sK13)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18146,f18158]) ).
fof(f20015,plain,
! [X0,X1] :
( r2_hidden(sK19(sK13,X0),sK13)
| ~ r2_closure3(sK10,sK11,X1,sK13)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18146,f18159]) ).
fof(f20016,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ r2_closure3(sK10,sK11,X1,sK13)
| ~ r2_hidden(X0,X1)
| r2_hidden(sK19(sK13,X0),sK13) ),
inference(forward_subsumption_resolution,[],[f20015,f18144]) ).
fof(f20017,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ r2_closure3(sK10,sK11,X1,sK13)
| ~ r2_hidden(X0,X1)
| r1_tarski(sK19(sK13,X0),X0) ),
inference(forward_subsumption_resolution,[],[f20014,f18144]) ).
fof(f20030,plain,
! [X0] :
( r1_tarski(sK19(sK14,X0),X0)
| ~ r2_hidden(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f20010,f18148]) ).
fof(f20031,plain,
! [X0] :
( r2_hidden(sK19(sK14,X0),sK14)
| ~ r2_hidden(X0,sK13) ),
inference(forward_subsumption_resolution,[],[f20009,f18148]) ).
fof(f20032,plain,
! [X0] :
( ~ r2_closure3(sK10,sK11,sK12,sK13)
| ~ r2_hidden(X0,sK12)
| r1_tarski(sK19(sK13,X0),X0) ),
inference(resolution,[],[f20017,f18145]) ).
fof(f20051,plain,
! [X0] :
( r1_tarski(sK19(sK13,X0),X0)
| ~ r2_hidden(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f20032,f18149]) ).
fof(f20052,plain,
! [X0] :
( ~ r2_closure3(sK10,sK11,sK12,sK13)
| ~ r2_hidden(X0,sK12)
| r2_hidden(sK19(sK13,X0),sK13) ),
inference(resolution,[],[f20016,f18145]) ).
fof(f20055,plain,
! [X0] :
( r2_hidden(sK19(sK13,X0),sK13)
| ~ r2_hidden(X0,sK12) ),
inference(forward_subsumption_resolution,[],[f20052,f18149]) ).
fof(f20057,plain,
! [X0] :
( r2_hidden(sK18(X0,sK14),X0)
| r2_closure3(sK10,sK11,X0,sK14)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18161,f18147]) ).
fof(f20061,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| r2_closure3(sK10,sK11,X0,sK14)
| r2_hidden(sK18(X0,sK14),X0) ),
inference(forward_subsumption_resolution,[],[f20057,f18144]) ).
fof(f20069,plain,
( r2_closure3(sK10,sK11,sK12,sK14)
| r2_hidden(sK18(sK12,sK14),sK12) ),
inference(resolution,[],[f20061,f18145]) ).
fof(f20073,plain,
r2_hidden(sK18(sK12,sK14),sK12),
inference(forward_subsumption_resolution,[],[f20069,f18150]) ).
fof(f20080,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK14)
| ~ r1_tarski(X0,sK18(X1,sK14))
| r2_closure3(sK10,sK11,X1,sK14)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ m1_pboole(sK11,sK10) ),
inference(resolution,[],[f18160,f18147]) ).
fof(f20084,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK10,sK11)))
| ~ r1_tarski(X0,sK18(X1,sK14))
| r2_closure3(sK10,sK11,X1,sK14)
| ~ r2_hidden(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f20080,f18144]) ).
fof(f20086,plain,
! [X0] :
( ~ r1_tarski(X0,sK18(sK12,sK14))
| r2_closure3(sK10,sK11,sK12,sK14)
| ~ r2_hidden(X0,sK14) ),
inference(resolution,[],[f20084,f18145]) ).
fof(f20090,plain,
! [X0] :
( ~ r1_tarski(X0,sK18(sK12,sK14))
| ~ r2_hidden(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f20086,f18150]) ).
fof(f21133,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK18(sK12,sK14))
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK14) ),
inference(resolution,[],[f18270,f20090]) ).
fof(f21146,plain,
! [X0] :
( ~ r1_tarski(X0,sK19(sK13,sK18(sK12,sK14)))
| ~ r2_hidden(X0,sK14)
| ~ r2_hidden(sK18(sK12,sK14),sK12) ),
inference(resolution,[],[f21133,f20051]) ).
fof(f21148,plain,
! [X0] :
( ~ r1_tarski(X0,sK19(sK13,sK18(sK12,sK14)))
| ~ r2_hidden(X0,sK14) ),
inference(forward_subsumption_resolution,[],[f21146,f20073]) ).
fof(f21153,plain,
( ~ r2_hidden(sK19(sK14,sK19(sK13,sK18(sK12,sK14))),sK14)
| ~ r2_hidden(sK19(sK13,sK18(sK12,sK14)),sK13) ),
inference(resolution,[],[f21148,f20030]) ).
fof(f21164,plain,
~ r2_hidden(sK19(sK13,sK18(sK12,sK14)),sK13),
inference(forward_subsumption_resolution,[],[f21153,f20031]) ).
fof(f21165,plain,
~ r2_hidden(sK18(sK12,sK14),sK12),
inference(resolution,[],[f21164,f20055]) ).
fof(f21166,plain,
$false,
inference(forward_subsumption_resolution,[],[f21165,f20073]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG224+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n004.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:50:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 15.41/3.75 % (687260)Detected formulas, will run a generic FOF schedule.
% 15.41/3.75 % (687265)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=4181765878:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 15.41/3.75 % (687271)dis-21_1_sil=8000:lcm=predicate:random_seed=1158044169:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 15.41/3.75 % (687270)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=405618847:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 15.41/3.75 % (687269)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2291381516:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 15.41/3.75 % (687267)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=4103257836:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 15.41/3.75 % (687268)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2800025487:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 15.41/3.75 % (687266)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=1195782786:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 15.41/3.75 % (687270)Instruction limit reached!
% 15.41/3.75 % (687270)------------------------------
% 15.41/3.75 % (687270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.75 % (687270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.75 % (687270)CaDiCaL version: 2.1.3
% 15.41/3.75 % (687270)Termination reason: Instruction limit
% 15.41/3.75 % (687270)Termination phase: Property scanning
% 15.41/3.75 % (687270)Time elapsed: 0.059 s
% 15.41/3.75 % (687270)Peak memory usage: 108 MB
% 15.41/3.75 % (687270)Instructions burned: 139 (million)
% 15.41/3.75 % (687271)Instruction limit reached!
% 15.41/3.75 % (687271)------------------------------
% 15.41/3.75 % (687271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.75 % (687271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.75 % (687271)CaDiCaL version: 2.1.3
% 15.41/3.75 % (687271)Termination reason: Instruction limit
% 15.41/3.75 % (687271)Termination phase: SInE selection
% 15.41/3.75 % (687271)Time elapsed: 0.083 s
% 15.41/3.75 % (687271)Peak memory usage: 108 MB
% 15.41/3.75 % (687271)Instructions burned: 129 (million)
% 15.41/3.75 % (687268)Instruction limit reached!
% 15.41/3.75 % (687268)------------------------------
% 15.41/3.75 % (687268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.75 % (687268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.75 % (687268)CaDiCaL version: 2.1.3
% 15.41/3.75 % (687268)Termination reason: Instruction limit
% 15.41/3.75 % (687268)Termination phase: Saturation
% 15.41/3.75 % (687268)Time elapsed: 0.090 s
% 15.41/3.75 % (687268)Peak memory usage: 112 MB
% 15.41/3.75 % (687268)Instructions burned: 110 (million)
% 15.41/3.75 % (687269)Instruction limit reached!
% 15.41/3.75 % (687269)------------------------------
% 15.41/3.75 % (687269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.41/3.75 % (687269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.41/3.75 % (687269)CaDiCaL version: 2.1.3
% 15.41/3.75 % (687269)Termination reason: Instruction limit
% 15.41/3.75 % (687269)Termination phase: Property scanning
% 15.41/3.75 % (687269)Time elapsed: 0.098 s
% 15.41/3.75 % (687269)Peak memory usage: 110 MB
% 15.41/3.75 % (687269)Instructions burned: 119 (million)
% 15.41/3.75 % (687279)lrs+10_1_sil=8000:sp=occurrence:random_seed=2301276423:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 15.41/3.75 % (687280)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2800204485:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 15.41/3.75 % (687281)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3805373088:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 15.41/3.75 % (687282)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=2586574222:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 15.41/3.75 % (687280)Instruction limit reached!
% 15.41/3.75 % (687280)------------------------------
% 20.16/4.39 % (687280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687280)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687280)Termination reason: Instruction limit
% 20.16/4.39 % (687280)Termination phase: Property scanning
% 20.16/4.39 % (687280)Time elapsed: 0.066 s
% 20.16/4.39 % (687280)Peak memory usage: 108 MB
% 20.16/4.39 % (687280)Instructions burned: 158 (million)
% 20.16/4.39 % (687281)Refutation not found, incomplete strategy
% 20.16/4.39 % (687281)------------------------------
% 20.16/4.39 % (687281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687281)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687281)Termination reason: Refutation not found, incomplete strategy
% 20.16/4.39 % (687281)Time elapsed: 0.088 s
% 20.16/4.39 % (687281)Peak memory usage: 113 MB
% 20.16/4.39 % (687281)Instructions burned: 103 (million)
% 20.16/4.39 % (687282)Instruction limit reached!
% 20.16/4.39 % (687282)------------------------------
% 20.16/4.39 % (687282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687282)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687282)Termination reason: Instruction limit
% 20.16/4.39 % (687282)Termination phase: SInE selection
% 20.16/4.39 % (687282)Time elapsed: 0.111 s
% 20.16/4.39 % (687282)Peak memory usage: 108 MB
% 20.16/4.39 % (687282)Instructions burned: 248 (million)
% 20.16/4.39 % (687279)Instruction limit reached!
% 20.16/4.39 % (687279)------------------------------
% 20.16/4.39 % (687279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687279)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687279)Termination reason: Instruction limit
% 20.16/4.39 % (687279)Termination phase: Saturation
% 20.16/4.39 % (687279)Time elapsed: 0.208 s
% 20.16/4.39 % (687279)Peak memory usage: 115 MB
% 20.16/4.39 % (687279)Instructions burned: 285 (million)
% 20.16/4.39 % (687287)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1465351771:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 20.16/4.39 % (687288)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1603578845:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 20.16/4.39 % (687281)------------------------------
% 20.16/4.39 % (687281)------------------------------
% 20.16/4.39 % (687289)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=422904367:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 20.16/4.39 % (687287)Instruction limit reached!
% 20.16/4.39 % (687287)------------------------------
% 20.16/4.39 % (687287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687287)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687287)Termination reason: Instruction limit
% 20.16/4.39 % (687287)Termination phase: Saturation
% 20.16/4.39 % (687287)Time elapsed: 0.200 s
% 20.16/4.39 % (687287)Peak memory usage: 115 MB
% 20.16/4.39 % (687287)Instructions burned: 294 (million)
% 20.16/4.39 % (687289)Instruction limit reached!
% 20.16/4.39 % (687289)------------------------------
% 20.16/4.39 % (687289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687289)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687289)Termination reason: Instruction limit
% 20.16/4.39 % (687289)Termination phase: Preprocessing 1
% 20.16/4.39 % (687289)Time elapsed: 0.101 s
% 20.16/4.39 % (687289)Peak memory usage: 109 MB
% 20.16/4.39 % (687289)Instructions burned: 114 (million)
% 20.16/4.39 % (687292)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=891316012:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 20.16/4.39 % (687294)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=693637050:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 20.16/4.39 % (687292)Instruction limit reached!
% 20.16/4.39 % (687292)------------------------------
% 20.16/4.39 % (687292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687292)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687292)Termination reason: Instruction limit
% 20.16/4.39 % (687292)Termination phase: Preprocessing 1
% 20.16/4.39 % (687292)Time elapsed: 0.092 s
% 20.16/4.39 % (687292)Peak memory usage: 108 MB
% 20.16/4.39 % (687292)Instructions burned: 128 (million)
% 20.16/4.39 % (687295)lrs+10_1_sil=8000:sp=occurrence:random_seed=2804233710:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 20.16/4.39 % (687294)Instruction limit reached!
% 20.16/4.39 % (687294)------------------------------
% 20.16/4.39 % (687294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687294)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687294)Termination reason: Instruction limit
% 20.16/4.39 % (687294)Termination phase: Property scanning
% 20.16/4.39 % (687294)Time elapsed: 0.051 s
% 20.16/4.39 % (687294)Peak memory usage: 108 MB
% 20.16/4.39 % (687294)Instructions burned: 116 (million)
% 20.16/4.39 % (687299)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3526524593:i=437:sd=1:aac=none:ss=included_2980 on theBenchmark for (2980ds/437Mi)
% 20.16/4.39 % (687300)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2364308194:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 20.16/4.39 % (687299)Instruction limit reached!
% 20.16/4.39 % (687299)------------------------------
% 20.16/4.39 % (687299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687299)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687299)Termination reason: Instruction limit
% 20.16/4.39 % (687299)Termination phase: Saturation
% 20.16/4.39 % (687299)Time elapsed: 0.301 s
% 20.16/4.39 % (687299)Peak memory usage: 116 MB
% 20.16/4.39 % (687299)Instructions burned: 437 (million)
% 20.16/4.39 % (687295)Instruction limit reached!
% 20.16/4.39 % (687295)------------------------------
% 20.16/4.39 % (687295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687295)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687295)Termination reason: Instruction limit
% 20.16/4.39 % (687295)Termination phase: Saturation
% 20.16/4.39 % (687295)Time elapsed: 0.542 s
% 20.16/4.39 % (687295)Peak memory usage: 126 MB
% 20.16/4.39 % (687295)Instructions burned: 907 (million)
% 20.16/4.39 % (687303)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3593769275:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 20.16/4.39 % (687304)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=780367729:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 20.16/4.39 % (687303)Instruction limit reached!
% 20.16/4.39 % (687303)------------------------------
% 20.16/4.39 % (687303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687303)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687303)Termination reason: Instruction limit
% 20.16/4.39 % (687303)Termination phase: Property scanning
% 20.16/4.39 % (687303)Time elapsed: 0.113 s
% 20.16/4.39 % (687303)Peak memory usage: 111 MB
% 20.16/4.39 % (687303)Instructions burned: 134 (million)
% 20.16/4.39 % (687307)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2573838873:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 20.16/4.39 % (687288)Instruction limit reached!
% 20.16/4.39 % (687288)------------------------------
% 20.16/4.39 % (687288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687288)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687288)Termination reason: Instruction limit
% 20.16/4.39 % (687288)Termination phase: Saturation
% 20.16/4.39 % (687288)Time elapsed: 1.282 s
% 20.16/4.39 % (687288)Peak memory usage: 173 MB
% 20.16/4.39 % (687288)Instructions burned: 2350 (million)
% 20.16/4.39 % (687309)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=593670733:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 20.16/4.39 % (687304)Instruction limit reached!
% 20.16/4.39 % (687304)------------------------------
% 20.16/4.39 % (687304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687304)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687304)Termination reason: Instruction limit
% 20.16/4.39 % (687304)Termination phase: Property scanning
% 20.16/4.39 % (687304)Time elapsed: 0.442 s
% 20.16/4.39 % (687304)Peak memory usage: 131 MB
% 20.16/4.39 % (687304)Instructions burned: 593 (million)
% 20.16/4.39 % (687309)Instruction limit reached!
% 20.16/4.39 % (687309)------------------------------
% 20.16/4.39 % (687309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687309)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687309)Termination reason: Instruction limit
% 20.16/4.39 % (687309)Termination phase: Property scanning
% 20.16/4.39 % (687309)Time elapsed: 0.054 s
% 20.16/4.39 % (687309)Peak memory usage: 108 MB
% 20.16/4.39 % (687309)Instructions burned: 125 (million)
% 20.16/4.39 % (687311)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3614535222:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 20.16/4.39 % (687312)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=750586951:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 20.16/4.39 % (687311)Instruction limit reached!
% 20.16/4.39 % (687311)------------------------------
% 20.16/4.39 % (687311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687311)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687311)Termination reason: Instruction limit
% 20.16/4.39 % (687311)Termination phase: Property scanning
% 20.16/4.39 % (687311)Time elapsed: 0.059 s
% 20.16/4.39 % (687311)Peak memory usage: 108 MB
% 20.16/4.39 % (687311)Instructions burned: 135 (million)
% 20.16/4.39 % (687300)First to succeed.
% 20.16/4.39 % (687300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-687260"
% 20.16/4.39 % (687312)Instruction limit reached!
% 20.16/4.39 % (687312)------------------------------
% 20.16/4.39 % (687312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687312)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687312)Termination reason: Instruction limit
% 20.16/4.39 % (687312)Termination phase: Saturation
% 20.16/4.39 % (687312)Time elapsed: 0.113 s
% 20.16/4.39 % (687312)Peak memory usage: 113 MB
% 20.16/4.39 % (687312)Instructions burned: 142 (million)
% 20.16/4.39 % (687315)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2556687907:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 20.16/4.39 % (687316)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2966167222:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 20.16/4.39 % (687315)Refutation not found, incomplete strategy
% 20.16/4.39 % (687315)------------------------------
% 20.16/4.39 % (687315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.16/4.39 % (687315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.16/4.39 % (687315)CaDiCaL version: 2.1.3
% 20.16/4.39 % (687315)Termination reason: Refutation not found, incomplete strategy
% 20.16/4.39 % (687315)Time elapsed: 0.092 s
% 20.16/4.39 % (687315)Peak memory usage: 113 MB
% 20.16/4.39 % (687315)Instructions burned: 102 (million)
% 20.16/4.39 % (687300)Refutation found. Thanks to Tanya!
% 20.16/4.39 % SZS status Theorem for theBenchmark
% 20.16/4.39 % SZS output start Proof for theBenchmark
% See solution above
% 21.27/4.59 % (687300)------------------------------
% 21.27/4.59 % (687300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.27/4.59 % (687300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.27/4.59 % (687300)CaDiCaL version: 2.1.3
% 21.27/4.59 % (687300)Termination reason: Refutation
% 21.27/4.59 % (687300)Time elapsed: 1.291 s
% 21.27/4.59 % (687300)Peak memory usage: 173 MB
% 21.27/4.59 % (687300)Instructions burned: 1948 (million)
% 21.27/4.59 % (687300)------------------------------
% 21.27/4.59 % (687300)------------------------------
% 21.27/4.59 % (687260)Success in time 3.717 s
% 21.27/4.59 % Vampire exiting
%------------------------------------------------------------------------------