%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG223+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 : 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 09:19:26 AM UTC 2026
% Result : Theorem 14.68s 3.07s
% Output : Refutation 16.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 64 ( 15 unt; 1 def)
% Number of atoms : 229 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 290 ( 125 ~; 115 |; 33 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 2 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 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(f4723,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)))
=> ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
~ ( r2_hidden(X4,X3)
& ! [X5] :
~ ( r2_hidden(X5,X2)
& r1_tarski(X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_closure3) ).
fof(f4725,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)))
=> ( ( r1_closure3(X0,X1,X3,X2)
& r1_closure3(X0,X1,X4,X3) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_closure3) ).
fof(f4726,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)))
=> ( ( r1_closure3(X0,X1,X3,X2)
& r1_closure3(X0,X1,X4,X3) )
=> r1_closure3(X0,X1,X4,X2) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4725]) ).
fof(f4728,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X3,X2)
& r1_closure3(X0,X1,X4,X3)
& 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,[],[f4726]) ).
fof(f4729,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_closure3(X0,X1,X4,X2)
& r1_closure3(X0,X1,X3,X2)
& r1_closure3(X0,X1,X4,X3)
& 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,[],[f4728]) ).
fof(f4748,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r1_closure3(X0,X1,X2,X3)
<=> ! [X4] :
( ~ r2_hidden(X4,X3)
| ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) ) ) )
| ~ 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,[],[f4723]) ).
fof(f4789,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f4790,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f4789]) ).
fof(f4972,plain,
( ~ r1_closure3(sK0,sK1,sK4,sK2)
& r1_closure3(sK0,sK1,sK3,sK2)
& r1_closure3(sK0,sK1,sK4,sK3)
& 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)],[f4729]) ).
fof(f4991,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( r2_hidden(X4,X3)
& ! [X5] :
( ~ r2_hidden(X5,X2)
| ~ r1_tarski(X4,X5) ) ) )
& ( ! [X4] :
( ~ r2_hidden(X4,X3)
| ? [X5] :
( r2_hidden(X5,X2)
& r1_tarski(X4,X5) ) )
| ~ r1_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,[],[f4748]) ).
fof(f4992,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ? [X4] :
( r2_hidden(X4,X3)
& ! [X5] :
( ~ r2_hidden(X5,X2)
| ~ r1_tarski(X4,X5) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X3)
| ? [X7] :
( r2_hidden(X7,X2)
& r1_tarski(X6,X7) ) )
| ~ r1_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,[],[f4991]) ).
fof(f4993,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_closure3(X0,X1,X2,X3)
| ( r2_hidden(sK16(X2,X3),X3)
& ! [X5] :
( ~ r2_hidden(X5,X2)
| ~ r1_tarski(sK16(X2,X3),X5) ) ) )
& ( ! [X6] :
( ~ r2_hidden(X6,X3)
| ( r2_hidden(sK17(X2,X6),X2)
& r1_tarski(X6,sK17(X2,X6)) ) )
| ~ r1_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(X2,X6))],[f4992]) ).
fof(f5068,plain,
m1_pboole(sK1,sK0),
inference(cnf_transformation,[],[f4972]) ).
fof(f5069,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4972]) ).
fof(f5070,plain,
m1_subset_1(sK3,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4972]) ).
fof(f5071,plain,
m1_subset_1(sK4,k1_zfmisc_1(k1_closure2(sK0,sK1))),
inference(cnf_transformation,[],[f4972]) ).
fof(f5072,plain,
r1_closure3(sK0,sK1,sK4,sK3),
inference(cnf_transformation,[],[f4972]) ).
fof(f5073,plain,
r1_closure3(sK0,sK1,sK3,sK2),
inference(cnf_transformation,[],[f4972]) ).
fof(f5074,plain,
~ r1_closure3(sK0,sK1,sK4,sK2),
inference(cnf_transformation,[],[f4972]) ).
fof(f5109,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r1_tarski(X6,sK17(X2,X6))
| ~ r1_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X6,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f4993]) ).
fof(f5110,plain,
! [X2,X3,X0,X1,X6] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK17(X2,X6),X2)
| ~ r1_closure3(X0,X1,X2,X3)
| ~ r2_hidden(X6,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f4993]) ).
fof(f5111,plain,
! [X2,X3,X0,X1,X5] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ r2_hidden(X5,X2)
| ~ r1_tarski(sK16(X2,X3),X5)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f4993]) ).
fof(f5112,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| r2_hidden(sK16(X2,X3),X3)
| r1_closure3(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f4993]) ).
fof(f5162,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f4790]) ).
fof(f5480,plain,
! [X0] :
( r2_hidden(sK16(X0,sK2),sK2)
| r1_closure3(sK0,sK1,X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5069,f5112]) ).
fof(f5482,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r1_tarski(sK16(X1,sK2),X0)
| r1_closure3(sK0,sK1,X1,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5069,f5111]) ).
fof(f5483,plain,
! [X0,X1] :
( r2_hidden(sK17(X0,X1),X0)
| ~ r1_closure3(sK0,sK1,X0,sK2)
| ~ r2_hidden(X1,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5069,f5110]) ).
fof(f5484,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X0,sK2)
| ~ r2_hidden(X1,sK2)
| r2_hidden(sK17(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f5483,f5068]) ).
fof(f5485,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_tarski(sK16(X1,sK2),X0)
| r1_closure3(sK0,sK1,X1,sK2)
| ~ r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f5482,f5068]) ).
fof(f5487,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| r1_closure3(sK0,sK1,X0,sK2)
| r2_hidden(sK16(X0,sK2),sK2) ),
inference(forward_subsumption_resolution,[],[f5480,f5068]) ).
fof(f5501,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| ~ r2_hidden(X0,sK2)
| r2_hidden(sK17(sK3,X0),sK3) ),
inference(resolution,[],[f5070,f5484]) ).
fof(f5505,plain,
! [X0,X1] :
( r2_hidden(sK17(X0,X1),X0)
| ~ r1_closure3(sK0,sK1,X0,sK3)
| ~ r2_hidden(X1,sK3)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5070,f5110]) ).
fof(f5506,plain,
! [X0] :
( r2_hidden(sK17(sK3,X0),sK3)
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f5501,f5073]) ).
fof(f5514,plain,
! [X0] :
( ~ r1_tarski(sK16(sK4,sK2),X0)
| r1_closure3(sK0,sK1,sK4,sK2)
| ~ r2_hidden(X0,sK4) ),
inference(resolution,[],[f5485,f5071]) ).
fof(f5515,plain,
! [X0] :
( ~ r1_tarski(sK16(sK4,sK2),X0)
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f5514,f5074]) ).
fof(f5519,plain,
( r1_closure3(sK0,sK1,sK4,sK2)
| r2_hidden(sK16(sK4,sK2),sK2) ),
inference(resolution,[],[f5487,f5071]) ).
fof(f5520,plain,
r2_hidden(sK16(sK4,sK2),sK2),
inference(forward_subsumption_resolution,[],[f5519,f5074]) ).
fof(f5528,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X0,sK3)
| ~ r2_hidden(X1,sK3)
| r2_hidden(sK17(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f5505,f5068]) ).
fof(f5548,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| ~ r2_hidden(X0,sK3)
| r2_hidden(sK17(sK4,X0),sK4) ),
inference(resolution,[],[f5528,f5071]) ).
fof(f5549,plain,
! [X0] :
( r2_hidden(sK17(sK4,X0),sK4)
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f5548,f5072]) ).
fof(f5593,plain,
! [X0,X1] :
( r1_tarski(X0,sK17(X1,X0))
| ~ r1_closure3(sK0,sK1,X1,sK2)
| ~ r2_hidden(X0,sK2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5109,f5069]) ).
fof(f5594,plain,
! [X0,X1] :
( r1_tarski(X0,sK17(X1,X0))
| ~ r1_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,sK3)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ m1_pboole(sK1,sK0) ),
inference(resolution,[],[f5109,f5070]) ).
fof(f5599,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK3)
| ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK17(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f5594,f5068]) ).
fof(f5600,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK0,sK1)))
| ~ r1_closure3(sK0,sK1,X1,sK2)
| ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK17(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f5593,f5068]) ).
fof(f5602,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK3,sK2)
| ~ r2_hidden(X0,sK2)
| r1_tarski(X0,sK17(sK3,X0)) ),
inference(resolution,[],[f5600,f5070]) ).
fof(f5604,plain,
! [X0] :
( r1_tarski(X0,sK17(sK3,X0))
| ~ r2_hidden(X0,sK2) ),
inference(forward_subsumption_resolution,[],[f5602,f5073]) ).
fof(f5636,plain,
! [X0] :
( ~ r1_closure3(sK0,sK1,sK4,sK3)
| ~ r2_hidden(X0,sK3)
| r1_tarski(X0,sK17(sK4,X0)) ),
inference(resolution,[],[f5599,f5071]) ).
fof(f5637,plain,
! [X0] :
( r1_tarski(X0,sK17(sK4,X0))
| ~ r2_hidden(X0,sK3) ),
inference(forward_subsumption_resolution,[],[f5636,f5072]) ).
fof(f5843,plain,
! [X0,X1] :
( ~ r1_tarski(sK16(sK4,sK2),X0)
| ~ r1_tarski(X0,X1)
| ~ r2_hidden(X1,sK4) ),
inference(resolution,[],[f5162,f5515]) ).
fof(f5849,plain,
! [X0] :
( ~ r1_tarski(sK17(sK3,sK16(sK4,sK2)),X0)
| ~ r2_hidden(X0,sK4)
| ~ r2_hidden(sK16(sK4,sK2),sK2) ),
inference(resolution,[],[f5843,f5604]) ).
fof(f5856,plain,
! [X0] :
( ~ r1_tarski(sK17(sK3,sK16(sK4,sK2)),X0)
| ~ r2_hidden(X0,sK4) ),
inference(forward_subsumption_resolution,[],[f5849,f5520]) ).
fof(f5861,plain,
( ~ r2_hidden(sK17(sK4,sK17(sK3,sK16(sK4,sK2))),sK4)
| ~ r2_hidden(sK17(sK3,sK16(sK4,sK2)),sK3) ),
inference(resolution,[],[f5856,f5637]) ).
fof(f5874,definition,
( spl57_25
<=> r2_hidden(sK17(sK3,sK16(sK4,sK2)),sK3) ),
introduced(definition,[new_symbols(definition,[spl57_25])],[avatar_definition]) ).
fof(f5876,plain,
( ~ r2_hidden(sK17(sK3,sK16(sK4,sK2)),sK3)
| spl57_25 ),
inference(avatar_component_clause,[],[f5874]) ).
fof(f5878,plain,
~ r2_hidden(sK17(sK3,sK16(sK4,sK2)),sK3),
inference(forward_subsumption_resolution,[],[f5861,f5549]) ).
fof(f5886,plain,
~ spl57_25,
inference(avatar_split_clause,[],[f5878,f5874]) ).
fof(f5918,plain,
( ~ r2_hidden(sK16(sK4,sK2),sK2)
| spl57_25 ),
inference(resolution,[],[f5876,f5506]) ).
fof(f5919,plain,
( $false
| spl57_25 ),
inference(forward_subsumption_resolution,[],[f5918,f5520]) ).
fof(f5920,plain,
spl57_25,
inference(avatar_contradiction_clause,[],[f5919]) ).
cnf(s24,plain,
~ spl57_25,
inference(sat_conversion,[],[f5886]) ).
cnf(s30,plain,
spl57_25,
inference(sat_conversion,[],[f5920]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s24,s30]) ).
fof(f5921,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG223+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 % Computer : n001.cluster.edu
% 0.07/0.21 % Model : x86_64 x86_64
% 0.07/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.21 % Memory : 8046.5625MB
% 0.07/0.21 % OS : Linux 6.8.0-71-generic
% 0.07/0.21 % CPULimit : 300
% 0.07/0.21 % WCLimit : 300
% 0.07/0.21 % DateTime : Mon Sep 28 19:55:05 UTC 2026
% 0.07/0.21 % CPUTime :
% 0.07/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.25 Running first-order theorem proving
% 0.07/0.25 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
% 14.68/3.07 % (664742)Detected formulas, will run a generic FOF schedule.
% 14.68/3.07 % (664748)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=1746648663:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.68/3.07 % (664752)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3443620738:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.68/3.07 % (664750)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=698849017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.68/3.07 % (664749)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=3203955560:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.68/3.07 % (664751)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=996694786:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.68/3.07 % (664747)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=2037281128:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.68/3.07 % (664753)dis-21_1_sil=8000:lcm=predicate:random_seed=310315283: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)
% 14.68/3.07 % (664750)Refutation not found, incomplete strategy
% 14.68/3.07 % (664750)------------------------------
% 14.68/3.07 % (664750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664750)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664750)Termination reason: Refutation not found, incomplete strategy
% 14.68/3.07 % (664750)Time elapsed: 0.050 s
% 14.68/3.07 % (664750)Peak memory usage: 94 MB
% 14.68/3.07 % (664750)Instructions burned: 76 (million)
% 14.68/3.07 % (664751)Instruction limit reached!
% 14.68/3.07 % (664751)------------------------------
% 14.68/3.07 % (664751)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664751)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664751)Termination reason: Instruction limit
% 14.68/3.07 % (664751)Termination phase: Saturation
% 14.68/3.07 % (664751)Time elapsed: 0.083 s
% 14.68/3.07 % (664751)Peak memory usage: 93 MB
% 14.68/3.07 % (664751)Instructions burned: 119 (million)
% 14.68/3.07 % (664752)Instruction limit reached!
% 14.68/3.07 % (664752)------------------------------
% 14.68/3.07 % (664752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664752)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664752)Termination reason: Instruction limit
% 14.68/3.07 % (664752)Termination phase: Preprocessing 3
% 14.68/3.07 % (664752)Time elapsed: 0.089 s
% 14.68/3.07 % (664752)Peak memory usage: 95 MB
% 14.68/3.07 % (664752)Instructions burned: 140 (million)
% 14.68/3.07 % (664753)Instruction limit reached!
% 14.68/3.07 % (664753)------------------------------
% 14.68/3.07 % (664753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664753)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664753)Termination reason: Instruction limit
% 14.68/3.07 % (664753)Termination phase: Preprocessing 3
% 14.68/3.07 % (664753)Time elapsed: 0.094 s
% 14.68/3.07 % (664753)Peak memory usage: 95 MB
% 14.68/3.07 % (664753)Instructions burned: 132 (million)
% 14.68/3.07 % (664762)lrs+10_1_sil=32000:urr=on:br=off:random_seed=886299965:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.68/3.07 % (664761)lrs+10_1_sil=8000:sp=occurrence:random_seed=23870902:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 14.68/3.07 % (664763)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3968294898:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.68/3.07 % (664750)------------------------------
% 14.68/3.07 % (664750)------------------------------
% 14.68/3.07 % (664762)Instruction limit reached!
% 14.68/3.07 % (664762)------------------------------
% 14.68/3.07 % (664762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664762)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664762)Termination reason: Instruction limit
% 14.68/3.07 % (664762)Termination phase: Saturation
% 14.68/3.07 % (664762)Time elapsed: 0.087 s
% 14.68/3.07 % (664762)Peak memory usage: 94 MB
% 14.68/3.07 % (664762)Instructions burned: 158 (million)
% 14.68/3.07 % (664761)Instruction limit reached!
% 14.68/3.07 % (664761)------------------------------
% 14.68/3.07 % (664761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664761)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664761)Termination reason: Instruction limit
% 14.68/3.07 % (664761)Termination phase: Saturation
% 14.68/3.07 % (664761)Time elapsed: 0.192 s
% 14.68/3.07 % (664761)Peak memory usage: 96 MB
% 14.68/3.07 % (664761)Instructions burned: 285 (million)
% 14.68/3.07 % (664767)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=820640353:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.68/3.07 % (664768)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=825006755:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.68/3.07 % (664763)Instruction limit reached!
% 14.68/3.07 % (664763)------------------------------
% 14.68/3.07 % (664763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664763)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664763)Termination reason: Instruction limit
% 14.68/3.07 % (664763)Termination phase: Saturation
% 14.68/3.07 % (664763)Time elapsed: 0.238 s
% 14.68/3.07 % (664763)Peak memory usage: 97 MB
% 14.68/3.07 % (664763)Instructions burned: 326 (million)
% 14.68/3.07 % (664769)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3011368127:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 14.68/3.07 % (664767)Instruction limit reached!
% 14.68/3.07 % (664767)------------------------------
% 14.68/3.07 % (664767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664767)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664767)Termination reason: Instruction limit
% 14.68/3.07 % (664767)Termination phase: Property scanning
% 14.68/3.07 % (664767)Time elapsed: 0.155 s
% 14.68/3.07 % (664767)Peak memory usage: 99 MB
% 14.68/3.07 % (664767)Instructions burned: 248 (million)
% 14.68/3.07 % (664768)Instruction limit reached!
% 14.68/3.07 % (664768)------------------------------
% 14.68/3.07 % (664768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664768)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664768)Termination reason: Instruction limit
% 14.68/3.07 % (664768)Termination phase: Saturation
% 14.68/3.07 % (664768)Time elapsed: 0.179 s
% 14.68/3.07 % (664768)Peak memory usage: 97 MB
% 14.68/3.07 % (664768)Instructions burned: 294 (million)
% 14.68/3.07 % (664772)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2740767256:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.68/3.07 % (664772)Instruction limit reached!
% 14.68/3.07 % (664772)------------------------------
% 14.68/3.07 % (664772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664772)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664772)Termination reason: Instruction limit
% 14.68/3.07 % (664772)Termination phase: Property scanning
% 14.68/3.07 % (664772)Time elapsed: 0.072 s
% 14.68/3.07 % (664772)Peak memory usage: 94 MB
% 14.68/3.07 % (664772)Instructions burned: 113 (million)
% 14.68/3.07 % (664774)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1586502998:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.68/3.07 % (664776)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3335677732:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 14.68/3.07 % (664776)Instruction limit reached!
% 14.68/3.07 % (664776)------------------------------
% 14.68/3.07 % (664776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664776)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664776)Termination reason: Instruction limit
% 14.68/3.07 % (664776)Termination phase: SInE selection
% 14.68/3.07 % (664776)Time elapsed: 0.051 s
% 14.68/3.07 % (664776)Peak memory usage: 90 MB
% 14.68/3.07 % (664776)Instructions burned: 114 (million)
% 14.68/3.07 % (664777)lrs+10_1_sil=8000:sp=occurrence:random_seed=3840842675:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 14.68/3.07 % (664774)Instruction limit reached!
% 14.68/3.07 % (664774)------------------------------
% 14.68/3.07 % (664774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664774)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664774)Termination reason: Instruction limit
% 14.68/3.07 % (664774)Termination phase: Preprocessing 3
% 14.68/3.07 % (664774)Time elapsed: 0.089 s
% 14.68/3.07 % (664774)Peak memory usage: 97 MB
% 14.68/3.07 % (664774)Instructions burned: 128 (million)
% 14.68/3.07 % (664780)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2586443694:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 14.68/3.07 % (664782)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=195321932:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 14.68/3.07 % (664780)Instruction limit reached!
% 14.68/3.07 % (664780)------------------------------
% 14.68/3.07 % (664780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664780)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664780)Termination reason: Instruction limit
% 14.68/3.07 % (664780)Termination phase: Saturation
% 14.68/3.07 % (664780)Time elapsed: 0.276 s
% 14.68/3.07 % (664780)Peak memory usage: 98 MB
% 14.68/3.07 % (664780)Instructions burned: 438 (million)
% 14.68/3.07 % (664785)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4009308751:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 14.68/3.07 % (664785)Instruction limit reached!
% 14.68/3.07 % (664785)------------------------------
% 14.68/3.07 % (664785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664785)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664785)Termination reason: Instruction limit
% 14.68/3.07 % (664785)Termination phase: Saturation
% 14.68/3.07 % (664785)Time elapsed: 0.090 s
% 14.68/3.07 % (664785)Peak memory usage: 97 MB
% 14.68/3.07 % (664785)Instructions burned: 135 (million)
% 14.68/3.07 % (664777)Instruction limit reached!
% 14.68/3.07 % (664777)------------------------------
% 14.68/3.07 % (664777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664777)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664777)Termination reason: Instruction limit
% 14.68/3.07 % (664777)Termination phase: Saturation
% 14.68/3.07 % (664777)Time elapsed: 0.615 s
% 14.68/3.07 % (664777)Peak memory usage: 104 MB
% 14.68/3.07 % (664777)Instructions burned: 907 (million)
% 14.68/3.07 % (664788)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3050310160:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 14.68/3.07 % (664787)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3942468181:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 14.68/3.07 % (664782)First to succeed.
% 14.68/3.07 % (664782)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-664742"
% 14.68/3.07 % (664748)Also succeeded, but the first one will report.
% 14.68/3.07 % (664787)Instruction limit reached!
% 14.68/3.07 % (664787)------------------------------
% 14.68/3.07 % (664787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.68/3.07 % (664787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.68/3.07 % (664787)CaDiCaL version: 2.1.3
% 14.68/3.07 % (664787)Termination reason: Instruction limit
% 14.68/3.07 % (664787)Termination phase: Saturation
% 14.68/3.07 % (664787)Time elapsed: 0.328 s
% 14.68/3.07 % (664787)Peak memory usage: 107 MB
% 14.68/3.07 % (664787)Instructions burned: 592 (million)
% 14.68/3.07 % (664782)Refutation found. Thanks to Tanya!
% 14.68/3.07 % SZS status Theorem for theBenchmark
% 14.68/3.07 % SZS output start Proof for theBenchmark
% See solution above
% 16.22/3.27 % (664782)------------------------------
% 16.22/3.27 % (664782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.22/3.27 % (664782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/3.27 % (664782)CaDiCaL version: 2.1.3
% 16.22/3.27 % (664782)Termination reason: Refutation
% 16.22/3.27 % (664782)Time elapsed: 0.791 s
% 16.22/3.27 % (664782)Peak memory usage: 140 MB
% 16.22/3.27 % (664782)Instructions burned: 1192 (million)
% 16.22/3.27 % (664782)------------------------------
% 16.22/3.27 % (664782)------------------------------
% 16.22/3.27 % (664742)Success in time 2.372 s
% 16.22/3.27 % Vampire exiting
%------------------------------------------------------------------------------