%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG224+2 : 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 09:19:27 AM UTC 2026
% Result : Theorem 12.19s 2.58s
% Output : Refutation 12.95s
% 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(f4724,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(f4726,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(f4727,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)],[f4726]) ).
fof(f4729,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,[],[f4727]) ).
fof(f4730,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,[],[f4729]) ).
fof(f4749,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,[],[f4724]) ).
fof(f4790,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4791,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4790]) ).
fof(f4973,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)],[f4730]) ).
fof(f4992,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,[],[f4749]) ).
fof(f4993,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,[],[f4992]) ).
fof(f4994,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r2_closure3(X0,X1,X2,X3)
| ( r2_hidden(sK16(X2,X3),X2)
& ! [X5] :
( ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK16(X2,X3)) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X2)
| ( r2_hidden(sK17(X3,X6),X3)
& r1_tarski(sK17(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,[sK16,sK17]),skolemize(X4,sK16(X2,X3)),skolemize(X7,sK17(X3,X6))],[f4993]) ).
fof(f5069,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f4973]) ).
fof(f5070,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4973]) ).
fof(f5071,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4973]) ).
fof(f5072,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4973]) ).
fof(f5073,plain,
r2_closure3(sK0,sK1,sK3,sK4),
inference(cnf_transformation,[],[f4973]) ).
fof(f5074,plain,
r2_closure3(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f4973]) ).
fof(f5075,plain,
~ r2_closure3(sK0,sK1,sK2,sK4),
inference(cnf_transformation,[],[f4973]) ).
fof(f5110,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_tarski(sK17(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,[],[f4994]) ).
fof(f5111,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK17(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,[],[f4994]) ).
fof(f5112,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X5,X3)
| ~ r1_tarski(X5,sK16(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,[],[f4994]) ).
fof(f5113,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK16(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,[],[f4994]) ).
fof(f5163,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f4791]) ).
fof(f5505,plain,
! [X0,X1] :
( r1_tarski(sK17(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,[],[f5071,f5110]) ).
fof(f5506,plain,
! [X0,X1] :
( r2_hidden(sK17(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,[],[f5071,f5111]) ).
fof(f5507,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(sK17(sK3,X0),sK3) ),
inference(forward_subsumption_resolution,[],[f5506,f5069]) ).
fof(f5508,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(sK17(sK3,X0),X0) ),
inference(forward_subsumption_resolution,[],[f5505,f5069]) ).
fof(f5533,plain,
! [X0,X1] :
( ~ r2_hidden(X0,sK4)
| ~ r1_tarski(X0,sK16(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,[],[f5072,f5112]) ).
fof(f5534,plain,
! [X0] :
( r2_hidden(sK16(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,[],[f5072,f5113]) ).
fof(f5536,plain,
! [X0,X1] :
( r1_tarski(sK17(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,[],[f5072,f5110]) ).
fof(f5537,plain,
! [X0,X1] :
( r2_hidden(sK17(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,[],[f5072,f5111]) ).
fof(f5538,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(sK17(sK4,X0),sK4) ),
inference(forward_subsumption_resolution,[],[f5537,f5069]) ).
fof(f5539,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(sK17(sK4,X0),X0) ),
inference(forward_subsumption_resolution,[],[f5536,f5069]) ).
fof(f5540,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r2_closure3(sK0,sK1,X0,sK4)
| r2_hidden(sK16(X0,sK4),X0) ),
inference(forward_subsumption_resolution,[],[f5534,f5069]) ).
fof(f5541,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(X0,sK16(X1,sK4))
| r2_closure3(sK0,sK1,X1,sK4)
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f5533,f5069]) ).
fof(f5560,plain,
( r2_closure3(sK0,sK1,sK2,sK4)
| r2_hidden(sK16(sK2,sK4),sK2) ),
inference(resolution,[],[f5540,f5070]) ).
fof(f5572,plain,
r2_hidden(sK16(sK2,sK4),sK2),
inference(forward_subsumption_resolution,[],[f5560,f5075]) ).
fof(f5586,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| ~ r2_hidden(X0,sK3)
| r1_tarski(sK17(sK4,X0),X0) ),
inference(resolution,[],[f5539,f5071]) ).
fof(f5592,plain,
! [X0] :
( r1_tarski(sK17(sK4,X0),X0)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f5586,f5073]) ).
fof(f5598,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK3,sK4)
| ~ r2_hidden(X0,sK3)
| r2_hidden(sK17(sK4,X0),sK4) ),
inference(resolution,[],[f5538,f5071]) ).
fof(f5600,plain,
! [X0] :
( r2_hidden(sK17(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f5598,f5073]) ).
fof(f5601,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| ~ r2_hidden(X0,sK2)
| r1_tarski(sK17(sK3,X0),X0) ),
inference(resolution,[],[f5508,f5070]) ).
fof(f5612,plain,
! [X0] :
( r1_tarski(sK17(sK3,X0),X0)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f5601,f5074]) ).
fof(f5613,plain,
! [X0] :
( ~ r2_closure3(sK0,sK1,sK2,sK3)
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK17(sK3,X0),sK3) ),
inference(resolution,[],[f5507,f5070]) ).
fof(f5616,plain,
! [X0] :
( r2_hidden(sK17(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f5613,f5074]) ).
fof(f5665,plain,
! [X0] :
( ~ r1_tarski(X0,sK16(sK2,sK4))
| r2_closure3(sK0,sK1,sK2,sK4)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f5541,f5070]) ).
fof(f5669,plain,
! [X0] :
( ~ r1_tarski(X0,sK16(sK2,sK4))
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f5665,f5075]) ).
fof(f5862,plain,
! [X0,X1] :
( ~ r1_tarski(X1,sK16(sK2,sK4))
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f5163,f5669]) ).
fof(f5870,plain,
! [X0] :
( ~ r1_tarski(X0,sK17(sK3,sK16(sK2,sK4)))
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(sK16(sK2,sK4),sK2) ),
inference(resolution,[],[f5862,f5612]) ).
fof(f5874,plain,
! [X0] :
( ~ r1_tarski(X0,sK17(sK3,sK16(sK2,sK4)))
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f5870,f5572]) ).
fof(f5877,plain,
( ~ r2_hidden(sK17(sK4,sK17(sK3,sK16(sK2,sK4))),sK4)
| ~ r2_hidden(sK17(sK3,sK16(sK2,sK4)),sK3) ),
inference(resolution,[],[f5874,f5592]) ).
fof(f5894,plain,
~ r2_hidden(sK17(sK3,sK16(sK2,sK4)),sK3),
inference(forward_subsumption_resolution,[],[f5877,f5600]) ).
fof(f5895,plain,
~ r2_hidden(sK16(sK2,sK4),sK2),
inference(resolution,[],[f5894,f5616]) ).
fof(f5896,plain,
$false,
inference(forward_subsumption_resolution,[],[f5895,f5572]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG224+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % 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 19:50:01 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
% 12.19/2.58 % (3381815)Detected formulas, will run a generic FOF schedule.
% 12.19/2.58 % (3381826)dis-21_1_sil=8000:lcm=predicate:random_seed=287199805:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 12.19/2.58 % (3381821)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=3265202749:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 12.19/2.58 % (3381824)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3825635225:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 12.19/2.58 % (3381823)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3692100381:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 12.19/2.58 % (3381820)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=2695572918:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 12.19/2.58 % (3381822)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=3840069138:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 12.19/2.58 % (3381825)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1253471594:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 12.19/2.58 % (3381826)Instruction limit reached!
% 12.19/2.58 % (3381826)------------------------------
% 12.19/2.58 % (3381826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381826)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381826)Termination reason: Instruction limit
% 12.19/2.58 % (3381826)Termination phase: Preprocessing 3
% 12.19/2.58 % (3381826)Time elapsed: 0.055 s
% 12.19/2.58 % (3381826)Peak memory usage: 95 MB
% 12.19/2.58 % (3381826)Instructions burned: 132 (million)
% 12.19/2.58 % (3381823)Refutation not found, incomplete strategy
% 12.19/2.58 % (3381823)------------------------------
% 12.19/2.58 % (3381823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381823)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381823)Termination reason: Refutation not found, incomplete strategy
% 12.19/2.58 % (3381823)Time elapsed: 0.056 s
% 12.19/2.58 % (3381823)Peak memory usage: 94 MB
% 12.19/2.58 % (3381823)Instructions burned: 87 (million)
% 12.19/2.58 % (3381824)Instruction limit reached!
% 12.19/2.58 % (3381824)------------------------------
% 12.19/2.58 % (3381824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381824)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381824)Termination reason: Instruction limit
% 12.19/2.58 % (3381824)Termination phase: Saturation
% 12.19/2.58 % (3381824)Time elapsed: 0.083 s
% 12.19/2.58 % (3381824)Peak memory usage: 93 MB
% 12.19/2.58 % (3381824)Instructions burned: 120 (million)
% 12.19/2.58 % (3381825)Instruction limit reached!
% 12.19/2.58 % (3381825)------------------------------
% 12.19/2.58 % (3381825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381825)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381825)Termination reason: Instruction limit
% 12.19/2.58 % (3381825)Termination phase: Preprocessing 3
% 12.19/2.58 % (3381825)Time elapsed: 0.090 s
% 12.19/2.58 % (3381825)Peak memory usage: 95 MB
% 12.19/2.58 % (3381825)Instructions burned: 140 (million)
% 12.19/2.58 % (3381834)lrs+10_1_sil=8000:sp=occurrence:random_seed=165110887:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 12.19/2.58 % (3381835)lrs+10_1_sil=32000:urr=on:br=off:random_seed=389578508:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 12.19/2.58 % (3381834)Instruction limit reached!
% 12.19/2.58 % (3381834)------------------------------
% 12.19/2.58 % (3381834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381834)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381834)Termination reason: Instruction limit
% 12.19/2.58 % (3381834)Termination phase: Saturation
% 12.19/2.58 % (3381834)Time elapsed: 0.104 s
% 12.19/2.58 % (3381834)Peak memory usage: 97 MB
% 12.19/2.58 % (3381834)Instructions burned: 287 (million)
% 12.19/2.58 % (3381836)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1699878065:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.19/2.58 % (3381823)------------------------------
% 12.19/2.58 % (3381823)------------------------------
% 12.19/2.58 % (3381835)Instruction limit reached!
% 12.19/2.58 % (3381835)------------------------------
% 12.19/2.58 % (3381835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381835)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381835)Termination reason: Instruction limit
% 12.19/2.58 % (3381835)Termination phase: Saturation
% 12.19/2.58 % (3381835)Time elapsed: 0.086 s
% 12.19/2.58 % (3381835)Peak memory usage: 94 MB
% 12.19/2.58 % (3381835)Instructions burned: 158 (million)
% 12.19/2.58 % (3381840)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=2434761664:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.19/2.58 % (3381840)Instruction limit reached!
% 12.19/2.58 % (3381840)------------------------------
% 12.19/2.58 % (3381840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381840)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381840)Termination reason: Instruction limit
% 12.19/2.58 % (3381840)Termination phase: Property scanning
% 12.19/2.58 % (3381840)Time elapsed: 0.085 s
% 12.19/2.58 % (3381840)Peak memory usage: 100 MB
% 12.19/2.58 % (3381840)Instructions burned: 249 (million)
% 12.19/2.58 % (3381841)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=870268938:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 12.19/2.58 % (3381842)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4047927044:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.19/2.58 % (3381836)Instruction limit reached!
% 12.19/2.58 % (3381836)------------------------------
% 12.19/2.58 % (3381836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381836)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381836)Termination reason: Instruction limit
% 12.19/2.58 % (3381836)Termination phase: Saturation
% 12.19/2.58 % (3381836)Time elapsed: 0.238 s
% 12.19/2.58 % (3381836)Peak memory usage: 97 MB
% 12.19/2.58 % (3381836)Instructions burned: 325 (million)
% 12.19/2.58 % (3381844)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=309461121:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 12.19/2.58 % (3381844)Instruction limit reached!
% 12.19/2.58 % (3381844)------------------------------
% 12.19/2.58 % (3381844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381844)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381844)Termination reason: Instruction limit
% 12.19/2.58 % (3381844)Termination phase: Property scanning
% 12.19/2.58 % (3381844)Time elapsed: 0.038 s
% 12.19/2.58 % (3381844)Peak memory usage: 94 MB
% 12.19/2.58 % (3381844)Instructions burned: 114 (million)
% 12.19/2.58 % (3381841)Instruction limit reached!
% 12.19/2.58 % (3381841)------------------------------
% 12.19/2.58 % (3381841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381841)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381841)Termination reason: Instruction limit
% 12.19/2.58 % (3381841)Termination phase: Saturation
% 12.19/2.58 % (3381841)Time elapsed: 0.176 s
% 12.19/2.58 % (3381841)Peak memory usage: 97 MB
% 12.19/2.58 % (3381841)Instructions burned: 295 (million)
% 12.19/2.58 % (3381847)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2975671309:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.19/2.58 % (3381849)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2604535773:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 12.19/2.58 % (3381847)Instruction limit reached!
% 12.19/2.58 % (3381847)------------------------------
% 12.19/2.58 % (3381847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381847)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381847)Termination reason: Instruction limit
% 12.19/2.58 % (3381847)Termination phase: Preprocessing 3
% 12.19/2.58 % (3381847)Time elapsed: 0.090 s
% 12.19/2.58 % (3381847)Peak memory usage: 97 MB
% 12.19/2.58 % (3381847)Instructions burned: 128 (million)
% 12.19/2.58 % (3381849)Instruction limit reached!
% 12.19/2.58 % (3381849)------------------------------
% 12.19/2.58 % (3381849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381849)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381849)Termination reason: Instruction limit
% 12.19/2.58 % (3381849)Termination phase: SInE selection
% 12.19/2.58 % (3381849)Time elapsed: 0.027 s
% 12.19/2.58 % (3381849)Peak memory usage: 90 MB
% 12.19/2.58 % (3381849)Instructions burned: 116 (million)
% 12.19/2.58 % (3381850)lrs+10_1_sil=8000:sp=occurrence:random_seed=42621132:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.19/2.58 % (3381854)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1213515891:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.19/2.58 % (3381853)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2693475913:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 12.19/2.58 % (3381853)Instruction limit reached!
% 12.19/2.58 % (3381853)------------------------------
% 12.19/2.58 % (3381853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381853)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381853)Termination reason: Instruction limit
% 12.19/2.58 % (3381853)Termination phase: Saturation
% 12.19/2.58 % (3381853)Time elapsed: 0.273 s
% 12.19/2.58 % (3381853)Peak memory usage: 98 MB
% 12.19/2.58 % (3381853)Instructions burned: 438 (million)
% 12.19/2.58 % (3381858)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2871108624:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 12.19/2.58 % (3381854)First to succeed.
% 12.19/2.58 % (3381854)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3381815"
% 12.19/2.58 % (3381850)Instruction limit reached!
% 12.19/2.58 % (3381850)------------------------------
% 12.19/2.58 % (3381850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381850)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381850)Termination reason: Instruction limit
% 12.19/2.58 % (3381850)Termination phase: Saturation
% 12.19/2.58 % (3381850)Time elapsed: 0.623 s
% 12.19/2.58 % (3381850)Peak memory usage: 104 MB
% 12.19/2.58 % (3381850)Instructions burned: 907 (million)
% 12.19/2.58 % (3381858)Instruction limit reached!
% 12.19/2.58 % (3381858)------------------------------
% 12.19/2.58 % (3381858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.19/2.58 % (3381858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.19/2.58 % (3381858)CaDiCaL version: 2.1.3
% 12.19/2.58 % (3381858)Termination reason: Instruction limit
% 12.19/2.58 % (3381858)Termination phase: Saturation
% 12.19/2.58 % (3381858)Time elapsed: 0.093 s
% 12.19/2.58 % (3381858)Peak memory usage: 97 MB
% 12.19/2.58 % (3381858)Instructions burned: 134 (million)
% 12.19/2.58 % (3381854)Refutation found. Thanks to Tanya!
% 12.19/2.58 % SZS status Theorem for theBenchmark
% 12.19/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 12.95/2.77 % (3381854)------------------------------
% 12.95/2.77 % (3381854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.95/2.77 % (3381854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.95/2.77 % (3381854)CaDiCaL version: 2.1.3
% 12.95/2.77 % (3381854)Termination reason: Refutation
% 12.95/2.77 % (3381854)Time elapsed: 0.470 s
% 12.95/2.77 % (3381854)Peak memory usage: 140 MB
% 12.95/2.77 % (3381854)Instructions burned: 1183 (million)
% 12.95/2.77 % (3381854)------------------------------
% 12.95/2.77 % (3381854)------------------------------
% 12.95/2.77 % (3381815)Success in time 1.913 s
% 12.95/2.77 % Vampire exiting
%------------------------------------------------------------------------------