%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG224+1 : 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 : n009.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 09:19:26 AM UTC 2026
% Result : Theorem 3.06s 1.08s
% Output : Refutation 3.58s
% 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(f1,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(f2,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)],[f1]) ).
fof(f9,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(f36,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(f45,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,[],[f2]) ).
fof(f46,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,[],[f45]) ).
fof(f50,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,[],[f9]) ).
fof(f59,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f60,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f59]) ).
fof(f61,plain,
( ~ r2_closure3(sK0,sK1,sK2,sK4)
& r2_closure3(sK0,sK1,sK2,sK3)
& r2_closure3(sK0,sK1,sK3,sK4)
& m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1)))
& m1_pboole(sK1,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f46]) ).
fof(f66,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,[],[f50]) ).
fof(f67,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,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ( r2_hidden(sK9(X2,X3),X2)
& ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK9(X2,X3)) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK10(X3,X6),X3)
& r1_tarski(sK10(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,[sK9,sK10]),skolemize(X4,sK9(X2,X3)),skolemize(X7,sK10(X3,X6))],[f67]) ).
fof(f72,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f61]) ).
fof(f73,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f61]) ).
fof(f74,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f61]) ).
fof(f75,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f61]) ).
fof(f76,plain,
r2_closure3(sK0,sK1,sK3,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f77,plain,
r2_closure3(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f61]) ).
fof(f78,plain,
~ r2_closure3(sK0,sK1,sK2,sK4),
inference(cnf_transformation,[],[f61]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_tarski(sK10(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,[],[f68]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK10(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,[],[f68]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK9(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,[],[f68]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK9(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,[],[f68]) ).
fof(f101,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f145,plain,
! [X0] :
( r2_hidden(sK9(X0,sK4),X0)
| r2_closure3(sK0,sK1,X0,sK4)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f90,f75]) ).
fof(f152,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_closure3(sK0,sK1,X0,sK4)
| r2_hidden(sK9(X0,sK4),X0) ),
inference(forward_subsumption_resolution,[],[f145,f72]) ).
fof(f164,plain,
! [X0,X1] :
( r1_tarski(sK10(sK3,X0),X0)
| ~ r2_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f74]) ).
fof(f165,plain,
! [X0,X1] :
( r1_tarski(sK10(sK4,X0),X0)
| ~ r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f87,f75]) ).
fof(f173,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,X1)
| r1_tarski(sK10(sK4,X0),X0) ),
inference(forward_subsumption_resolution,[],[f165,f72]) ).
fof(f174,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,X1)
| r1_tarski(sK10(sK3,X0),X0) ),
inference(forward_subsumption_resolution,[],[f164,f72]) ).
fof(f177,plain,
! [X0,X1] :
( r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f88,f74]) ).
fof(f178,plain,
! [X0,X1] :
( r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f88,f75]) ).
fof(f186,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,X1)
| r2_hidden(sK10(sK4,X0),sK4) ),
inference(forward_subsumption_resolution,[],[f178,f72]) ).
fof(f187,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r2_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,X1)
| r2_hidden(sK10(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f177,f72]) ).
fof(f191,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(X0,sK9(X1,sK4))
| r2_closure3(sK0,sK1,X1,sK4)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f89,f75]) ).
fof(f198,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(X0,sK9(X1,sK4))
| r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f191,f72]) ).
fof(f202,plain,
( r2_closure3(sK0,sK1,sK2,sK4)
| r2_hidden(sK9(sK2,sK4),sK2) ),
inference(resolution,[],[f152,f73]) ).
fof(f210,plain,
r2_hidden(sK9(sK2,sK4),sK2),
inference(forward_subsumption_resolution,[],[f202,f78]) ).
fof(f232,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| ~ r2_hidden(X0,sK3)
| r1_tarski(sK10(sK4,X0),X0) ),
inference(resolution,[],[f173,f74]) ).
fof(f240,plain,
! [X0] :
( r1_tarski(sK10(sK4,X0),X0)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f232,f76]) ).
fof(f241,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| ~ r2_hidden(X0,sK2)
| r1_tarski(sK10(sK3,X0),X0) ),
inference(resolution,[],[f174,f73]) ).
fof(f250,plain,
! [X0] :
( r1_tarski(sK10(sK3,X0),X0)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f241,f77]) ).
fof(f261,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| ~ r2_hidden(X0,sK3)
| r2_hidden(sK10(sK4,X0),sK4) ),
inference(resolution,[],[f186,f74]) ).
fof(f269,plain,
! [X0] :
( r2_hidden(sK10(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f261,f76]) ).
fof(f272,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK10(sK3,X0),sK3) ),
inference(resolution,[],[f187,f73]) ).
fof(f281,plain,
! [X0] :
( r2_hidden(sK10(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f272,f77]) ).
fof(f297,plain,
! [X0] :
( ~ r1_tarski(X0,sK9(sK2,sK4))
| r2_closure3(sK0,sK1,sK2,sK4)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f198,f73]) ).
fof(f306,plain,
! [X0] :
( ~ r1_tarski(X0,sK9(sK2,sK4))
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f297,f78]) ).
fof(f341,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK9(sK2,sK4))
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f306,f101]) ).
fof(f734,plain,
! [X0] :
( ~ r1_tarski(X0,sK10(sK3,sK9(sK2,sK4)))
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(sK9(sK2,sK4),sK2) ),
inference(resolution,[],[f341,f250]) ).
fof(f742,plain,
! [X0] :
( ~ r1_tarski(X0,sK10(sK3,sK9(sK2,sK4)))
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f734,f210]) ).
fof(f957,plain,
( ~ r2_hidden(sK10(sK4,sK10(sK3,sK9(sK2,sK4))),sK4)
| ~ r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3) ),
inference(resolution,[],[f742,f240]) ).
fof(f969,plain,
~ r2_hidden(sK10(sK3,sK9(sK2,sK4)),sK3),
inference(forward_subsumption_resolution,[],[f957,f269]) ).
fof(f977,plain,
~ r2_hidden(sK9(sK2,sK4),sK2),
inference(resolution,[],[f969,f281]) ).
fof(f981,plain,
$false,
inference(forward_subsumption_resolution,[],[f977,f210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG224+1 : 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 : n009.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 19:49:45 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/1.08 % (3381120)Detected formulas, will run a generic FOF schedule.
% 3.06/1.08 % (3381126)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=833514437:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.06/1.08 % (3381129)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2153150997:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.06/1.08 % (3381130)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1433555128:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.06/1.08 % (3381131)dis-21_1_sil=8000:lcm=predicate:random_seed=991448753:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.06/1.08 % (3381128)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=183075103:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.06/1.08 % (3381127)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=3181278833:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.06/1.08 % (3381125)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=1099691777:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.06/1.08 % (3381128)Refutation not found, incomplete strategy
% 3.06/1.08 % (3381128)------------------------------
% 3.06/1.08 % (3381128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (3381128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (3381128)CaDiCaL version: 2.1.3
% 3.06/1.08 % (3381128)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.08 % (3381128)Time elapsed: 0.004 s
% 3.06/1.08 % (3381128)Peak memory usage: 88 MB
% 3.06/1.08 % (3381128)Instructions burned: 5 (million)
% 3.06/1.08 % (3381129)First to succeed.
% 3.06/1.08 % (3381129)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3381120"
% 3.06/1.08 % (3381131)Instruction limit reached!
% 3.06/1.08 % (3381131)------------------------------
% 3.06/1.08 % (3381131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (3381131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (3381131)CaDiCaL version: 2.1.3
% 3.06/1.08 % (3381131)Termination reason: Instruction limit
% 3.06/1.08 % (3381131)Termination phase: Saturation
% 3.06/1.08 % (3381131)Time elapsed: 0.083 s
% 3.06/1.08 % (3381131)Peak memory usage: 91 MB
% 3.06/1.08 % (3381131)Instructions burned: 130 (million)
% 3.06/1.08 % (3381130)Instruction limit reached!
% 3.06/1.08 % (3381130)------------------------------
% 3.06/1.08 % (3381130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.08 % (3381130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.08 % (3381130)CaDiCaL version: 2.1.3
% 3.06/1.08 % (3381130)Termination reason: Instruction limit
% 3.06/1.08 % (3381130)Termination phase: Saturation
% 3.06/1.08 % (3381130)Time elapsed: 0.099 s
% 3.06/1.08 % (3381130)Peak memory usage: 90 MB
% 3.06/1.08 % (3381130)Instructions burned: 139 (million)
% 3.06/1.08 % (3381139)lrs+10_1_sil=8000:sp=occurrence:random_seed=1258994718:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.06/1.08 % (3381140)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4155392702:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.06/1.08 % (3381128)------------------------------
% 3.06/1.08 % (3381128)------------------------------
% 3.06/1.08 % (3381129)Refutation found. Thanks to Tanya!
% 3.06/1.08 % SZS status Theorem for theBenchmark
% 3.06/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.27 % (3381129)------------------------------
% 3.58/1.27 % (3381129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.27 % (3381129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.27 % (3381129)CaDiCaL version: 2.1.3
% 3.58/1.27 % (3381129)Termination reason: Refutation
% 3.58/1.27 % (3381129)Time elapsed: 0.019 s
% 3.58/1.27 % (3381129)Peak memory usage: 88 MB
% 3.58/1.27 % (3381129)Instructions burned: 30 (million)
% 3.58/1.27 % (3381129)------------------------------
% 3.58/1.27 % (3381129)------------------------------
% 3.58/1.27 % (3381120)Success in time 0.424 s
% 3.58/1.27 % Vampire exiting
%------------------------------------------------------------------------------