%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU437+4 : 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 : n016.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 12:49:03 PM UTC 2026
% Result : Theorem 24.97s 13.20s
% Output : Refutation 54.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 78 ( 22 unt; 3 def)
% Number of atoms : 193 ( 25 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 195 ( 80 ~; 75 |; 16 &)
% ( 5 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 131 ( 0 sgn 121 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f514,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_subset_1) ).
fof(f525,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_subset_1) ).
fof(f571,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f71075,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f71116,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_relset_2) ).
fof(f71122,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_relset_2) ).
fof(f71123,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r1_tarski(X3,X4)
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f71122]) ).
fof(f71439,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71123]) ).
fof(f71440,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
& r1_tarski(X3,X4)
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f71439]) ).
fof(f71607,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71116]) ).
fof(f71619,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f71075]) ).
fof(f71620,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(flattening,[],[f71619]) ).
fof(f72592,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f574]) ).
fof(f72593,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f72592]) ).
fof(f72598,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f571]) ).
fof(f72599,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f72598]) ).
fof(f72600,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f525]) ).
fof(f74009,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f76063,plain,
! [X0,X1] :
( ! [X2] :
( ( r1_tarski(X1,X2)
<=> r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f514]) ).
fof(f78083,plain,
( ~ r1_tarski(k8_relset_2(sK153,sK154,sK155,sK156),k8_relset_2(sK153,sK154,sK155,sK157))
& r1_tarski(sK156,sK157)
& m1_subset_1(sK157,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
& m1_subset_1(sK156,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
& m1_subset_1(sK155,k1_zfmisc_1(sK153)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK153,sK154,sK155,sK156,sK157]),skolemize(X0,sK153),skolemize(X1,sK154),skolemize(X2,sK155),skolemize(X3,sK156),skolemize(X4,sK157)],[f71440]) ).
fof(f79505,plain,
! [X0,X1] :
( ! [X2] :
( ( ( r1_tarski(X1,X2)
| ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1)) )
& ( r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| ~ r1_tarski(X1,X2) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f76063]) ).
fof(f80148,plain,
m1_subset_1(sK155,k1_zfmisc_1(sK153)),
inference(cnf_transformation,[],[f78083]) ).
fof(f80149,plain,
m1_subset_1(sK156,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154))),
inference(cnf_transformation,[],[f78083]) ).
fof(f80150,plain,
m1_subset_1(sK157,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154))),
inference(cnf_transformation,[],[f78083]) ).
fof(f80151,plain,
r1_tarski(sK156,sK157),
inference(cnf_transformation,[],[f78083]) ).
fof(f80152,plain,
~ r1_tarski(k8_relset_2(sK153,sK154,sK155,sK156),k8_relset_2(sK153,sK154,sK155,sK157)),
inference(cnf_transformation,[],[f78083]) ).
fof(f80410,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k8_relset_2(X0,X1,X2,k5_subset_1(k2_zfmisc_1(X0,X1),X3,X4)) = k5_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f71607]) ).
fof(f80420,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f71620]) ).
fof(f81914,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72593]) ).
fof(f81917,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72599]) ).
fof(f81918,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,X1),k3_subset_1(X0,k5_subset_1(X0,X1,X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72600]) ).
fof(f83686,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f83688,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f74009]) ).
fof(f83700,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f86495,plain,
! [X2,X0,X1] :
( ~ r1_tarski(k3_subset_1(X0,X2),k3_subset_1(X0,X1))
| r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f79505]) ).
fof(f90008,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f81914,f83686]) ).
fof(f90265,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f83688,f83686]) ).
fof(f90277,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f83700,f83686,f83686]) ).
fof(f93077,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| k5_subset_1(k2_zfmisc_1(sK153,sK154),X0,sK156) = k4_xboole_0(X0,k4_xboole_0(X0,sK156)) ),
inference(resolution,[],[f90008,f80149]) ).
fof(f93087,plain,
k5_subset_1(k2_zfmisc_1(sK153,sK154),sK157,sK156) = k4_xboole_0(sK157,k4_xboole_0(sK157,sK156)),
inference(resolution,[],[f93077,f80150]) ).
fof(f93093,plain,
k4_xboole_0(sK156,k4_xboole_0(sK156,sK157)) = k5_subset_1(k2_zfmisc_1(sK153,sK154),sK157,sK156),
inference(forward_demodulation,[],[f93087,f90277]) ).
fof(f93105,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| k8_relset_2(sK153,sK154,X0,k5_subset_1(k2_zfmisc_1(sK153,sK154),X1,sK156)) = k5_subset_1(sK154,k8_relset_2(sK153,sK154,X0,X1),k8_relset_2(sK153,sK154,X0,sK156))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK153)) ),
inference(resolution,[],[f80410,f80149]) ).
fof(f93108,plain,
! [X0] :
( k8_relset_2(sK153,sK154,X0,k5_subset_1(k2_zfmisc_1(sK153,sK154),sK157,sK156)) = k5_subset_1(sK154,k8_relset_2(sK153,sK154,X0,sK157),k8_relset_2(sK153,sK154,X0,sK156))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK153)) ),
inference(resolution,[],[f93105,f80150]) ).
fof(f93113,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK153))
| k5_subset_1(sK154,k8_relset_2(sK153,sK154,X0,sK157),k8_relset_2(sK153,sK154,X0,sK156)) = k8_relset_2(sK153,sK154,X0,k4_xboole_0(sK156,k4_xboole_0(sK156,sK157))) ),
inference(forward_demodulation,[],[f93108,f93093]) ).
fof(f93151,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
inference(resolution,[],[f81918,f86495]) ).
fof(f93161,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r1_tarski(k5_subset_1(X1,X2,X0),X2)
| ~ m1_subset_1(k5_subset_1(X1,X2,X0),k1_zfmisc_1(X1)) ),
inference(duplicate_literal_removal,[],[f93151]) ).
fof(f93164,plain,
! [X2,X0,X1] :
( r1_tarski(k5_subset_1(X1,X2,X0),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f93161,f81917]) ).
fof(f93240,plain,
k5_subset_1(sK154,k8_relset_2(sK153,sK154,sK155,sK157),k8_relset_2(sK153,sK154,sK155,sK156)) = k8_relset_2(sK153,sK154,sK155,k4_xboole_0(sK156,k4_xboole_0(sK156,sK157))),
inference(resolution,[],[f93113,f80148]) ).
fof(f93334,plain,
( r1_tarski(k8_relset_2(sK153,sK154,sK155,k4_xboole_0(sK156,k4_xboole_0(sK156,sK157))),k8_relset_2(sK153,sK154,sK155,sK157))
| ~ m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK157),k1_zfmisc_1(sK154))
| ~ m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK156),k1_zfmisc_1(sK154)) ),
inference(superposition,[],[f93164,f93240]) ).
fof(f93338,definition,
( spl1453_90
<=> m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK157),k1_zfmisc_1(sK154)) ),
introduced(definition,[new_symbols(definition,[spl1453_90])],[avatar_definition]) ).
fof(f93340,plain,
( ~ m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK157),k1_zfmisc_1(sK154))
| spl1453_90 ),
inference(avatar_component_clause,[],[f93338]) ).
fof(f93342,definition,
( spl1453_91
<=> m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK156),k1_zfmisc_1(sK154)) ),
introduced(definition,[new_symbols(definition,[spl1453_91])],[avatar_definition]) ).
fof(f93344,plain,
( ~ m1_subset_1(k8_relset_2(sK153,sK154,sK155,sK156),k1_zfmisc_1(sK154))
| spl1453_91 ),
inference(avatar_component_clause,[],[f93342]) ).
fof(f93355,definition,
( spl1453_94
<=> r1_tarski(k8_relset_2(sK153,sK154,sK155,k4_xboole_0(sK156,k4_xboole_0(sK156,sK157))),k8_relset_2(sK153,sK154,sK155,sK157)) ),
introduced(definition,[new_symbols(definition,[spl1453_94])],[avatar_definition]) ).
fof(f93357,plain,
( r1_tarski(k8_relset_2(sK153,sK154,sK155,k4_xboole_0(sK156,k4_xboole_0(sK156,sK157))),k8_relset_2(sK153,sK154,sK155,sK157))
| ~ spl1453_94 ),
inference(avatar_component_clause,[],[f93355]) ).
fof(f93358,plain,
( ~ spl1453_91
| ~ spl1453_90
| spl1453_94 ),
inference(avatar_split_clause,[],[f93334,f93355,f93338,f93342]) ).
fof(f93359,plain,
( ~ m1_subset_1(sK155,k1_zfmisc_1(sK153))
| ~ m1_subset_1(sK157,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| spl1453_90 ),
inference(resolution,[],[f93340,f80420]) ).
fof(f93361,plain,
( ~ m1_subset_1(sK157,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| spl1453_90 ),
inference(forward_subsumption_resolution,[],[f93359,f80148]) ).
fof(f93362,plain,
( $false
| spl1453_90 ),
inference(forward_subsumption_resolution,[],[f93361,f80150]) ).
fof(f93363,plain,
spl1453_90,
inference(avatar_contradiction_clause,[],[f93362]) ).
fof(f93364,plain,
( ~ m1_subset_1(sK155,k1_zfmisc_1(sK153))
| ~ m1_subset_1(sK156,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| spl1453_91 ),
inference(resolution,[],[f93344,f80420]) ).
fof(f93366,plain,
( ~ m1_subset_1(sK156,k1_zfmisc_1(k2_zfmisc_1(sK153,sK154)))
| spl1453_91 ),
inference(forward_subsumption_resolution,[],[f93364,f80148]) ).
fof(f93367,plain,
( $false
| spl1453_91 ),
inference(forward_subsumption_resolution,[],[f93366,f80149]) ).
fof(f93368,plain,
spl1453_91,
inference(avatar_contradiction_clause,[],[f93367]) ).
fof(f93876,plain,
sK156 = k4_xboole_0(sK156,k4_xboole_0(sK156,sK157)),
inference(resolution,[],[f90265,f80151]) ).
fof(f93908,plain,
( r1_tarski(k8_relset_2(sK153,sK154,sK155,sK156),k8_relset_2(sK153,sK154,sK155,sK157))
| ~ spl1453_94 ),
inference(superposition,[],[f93357,f93876]) ).
fof(f93921,plain,
( $false
| ~ spl1453_94 ),
inference(forward_subsumption_resolution,[],[f93908,f80152]) ).
fof(f93922,plain,
~ spl1453_94,
inference(avatar_contradiction_clause,[],[f93921]) ).
cnf(s66,plain,
( ~ spl1453_90
| ~ spl1453_91
| spl1453_94 ),
inference(sat_conversion,[],[f93358]) ).
cnf(s67,plain,
spl1453_90,
inference(sat_conversion,[],[f93363]) ).
cnf(s68,plain,
spl1453_91,
inference(sat_conversion,[],[f93368]) ).
cnf(s78,plain,
~ spl1453_94,
inference(sat_conversion,[],[f93922]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s66,s78,s68,s67]) ).
fof(f93924,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU437+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:33:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 19.17/8.37 % (3298397)Detected formulas, will run a generic FOF schedule.
% 19.17/8.37 % (3298406)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3830426836:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 19.17/8.37 % (3298402)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=3588643244:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 19.17/8.37 % (3298403)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=918069110:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 19.17/8.37 % (3298405)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=884831788:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 19.17/8.37 % (3298404)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=915491293:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 19.17/8.37 % (3298408)dis-21_1_sil=8000:lcm=predicate:random_seed=3364543518:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 19.17/8.37 % (3298406)Instruction limit reached!
% 19.17/8.37 % (3298406)------------------------------
% 19.17/8.37 % (3298406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/8.37 % (3298406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/8.37 % (3298406)CaDiCaL version: 2.1.3
% 19.17/8.37 % (3298406)Termination reason: Instruction limit
% 19.17/8.37 % (3298406)Termination phase: SInE selection
% 19.17/8.37 % (3298406)Time elapsed: 0.057 s
% 19.17/8.37 % (3298406)Peak memory usage: 201 MB
% 19.17/8.37 % (3298406)Instructions burned: 121 (million)
% 19.17/8.37 % (3298407)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2558250962:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 19.17/8.37 % (3298405)Instruction limit reached!
% 19.17/8.37 % (3298405)------------------------------
% 19.17/8.37 % (3298405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/8.37 % (3298405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/8.37 % (3298405)CaDiCaL version: 2.1.3
% 19.17/8.37 % (3298405)Termination reason: Instruction limit
% 19.17/8.37 % (3298405)Termination phase: SInE selection
% 19.17/8.37 % (3298405)Time elapsed: 0.086 s
% 19.17/8.37 % (3298405)Peak memory usage: 200 MB
% 19.17/8.37 % (3298405)Instructions burned: 109 (million)
% 19.17/8.37 % (3298407)Instruction limit reached!
% 19.17/8.37 % (3298407)------------------------------
% 19.17/8.37 % (3298407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/8.37 % (3298407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/8.37 % (3298407)CaDiCaL version: 2.1.3
% 19.17/8.37 % (3298407)Termination reason: Instruction limit
% 19.17/8.37 % (3298407)Termination phase: Property scanning
% 19.17/8.37 % (3298407)Time elapsed: 0.068 s
% 19.17/8.37 % (3298407)Peak memory usage: 201 MB
% 19.17/8.37 % (3298407)Instructions burned: 140 (million)
% 19.17/8.37 % (3298408)Instruction limit reached!
% 19.17/8.37 % (3298408)------------------------------
% 19.17/8.37 % (3298408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.17/8.37 % (3298408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.17/8.37 % (3298408)CaDiCaL version: 2.1.3
% 19.17/8.37 % (3298408)Termination reason: Instruction limit
% 19.17/8.37 % (3298408)Termination phase: SInE selection
% 19.17/8.37 % (3298408)Time elapsed: 0.100 s
% 19.17/8.37 % (3298408)Peak memory usage: 201 MB
% 19.17/8.37 % (3298408)Instructions burned: 130 (million)
% 19.17/8.37 % (3298416)lrs+10_1_sil=8000:sp=occurrence:random_seed=1247264010:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 19.17/8.37 % (3298417)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4049278734:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2941 on theBenchmark for (2941ds/157Mi)
% 19.17/8.37 % (3298418)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2219203013:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 19.17/8.37 % (3298419)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=749401825:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 19.17/8.37 % (3298416)Instruction limit reached!
% 26.37/9.33 % (3298416)------------------------------
% 26.37/9.33 % (3298416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298416)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298416)Termination reason: Instruction limit
% 26.37/9.33 % (3298416)Termination phase: SInE selection
% 26.37/9.33 % (3298416)Time elapsed: 0.125 s
% 26.37/9.33 % (3298416)Peak memory usage: 201 MB
% 26.37/9.33 % (3298416)Instructions burned: 288 (million)
% 26.37/9.33 % (3298417)Instruction limit reached!
% 26.37/9.33 % (3298417)------------------------------
% 26.37/9.33 % (3298417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298417)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298417)Termination reason: Instruction limit
% 26.37/9.33 % (3298417)Termination phase: Property scanning
% 26.37/9.33 % (3298417)Time elapsed: 0.077 s
% 26.37/9.33 % (3298417)Peak memory usage: 201 MB
% 26.37/9.33 % (3298417)Instructions burned: 158 (million)
% 26.37/9.33 % (3298419)Instruction limit reached!
% 26.37/9.33 % (3298419)------------------------------
% 26.37/9.33 % (3298419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298419)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298419)Termination reason: Instruction limit
% 26.37/9.33 % (3298419)Termination phase: Property scanning
% 26.37/9.33 % (3298419)Time elapsed: 0.114 s
% 26.37/9.33 % (3298419)Peak memory usage: 201 MB
% 26.37/9.33 % (3298419)Instructions burned: 248 (million)
% 26.37/9.33 % (3298424)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3811558894:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2939 on theBenchmark for (2939ds/294Mi)
% 26.37/9.33 % (3298425)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=438845857:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 26.37/9.33 % (3298418)Instruction limit reached!
% 26.37/9.33 % (3298418)------------------------------
% 26.37/9.33 % (3298418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298418)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298418)Termination reason: Instruction limit
% 26.37/9.33 % (3298418)Termination phase: SInE selection
% 26.37/9.33 % (3298418)Time elapsed: 0.251 s
% 26.37/9.33 % (3298418)Peak memory usage: 201 MB
% 26.37/9.33 % (3298418)Instructions burned: 326 (million)
% 26.37/9.33 % (3298424)Instruction limit reached!
% 26.37/9.33 % (3298424)------------------------------
% 26.37/9.33 % (3298424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298424)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298424)Termination reason: Instruction limit
% 26.37/9.33 % (3298424)Termination phase: SInE selection
% 26.37/9.33 % (3298424)Time elapsed: 0.135 s
% 26.37/9.33 % (3298424)Peak memory usage: 201 MB
% 26.37/9.33 % (3298424)Instructions burned: 297 (million)
% 26.37/9.33 % (3298426)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4103918117:cts=off:i=113:fsr=off:ss=included:sgt=4_2938 on theBenchmark for (2938ds/113Mi)
% 26.37/9.33 % (3298426)Instruction limit reached!
% 26.37/9.33 % (3298426)------------------------------
% 26.37/9.33 % (3298426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.37/9.33 % (3298426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.37/9.33 % (3298426)CaDiCaL version: 2.1.3
% 26.37/9.33 % (3298426)Termination reason: Instruction limit
% 26.37/9.33 % (3298426)Termination phase: SInE selection
% 26.37/9.33 % (3298426)Time elapsed: 0.087 s
% 26.37/9.33 % (3298426)Peak memory usage: 201 MB
% 26.37/9.33 % (3298426)Instructions burned: 113 (million)
% 26.37/9.33 % (3298431)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1569505810:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 26.37/9.33 % (3298429)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2983761388:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 26.37/9.33 % (3298431)Instruction limit reached!
% 26.37/9.33 % (3298431)------------------------------
% 26.37/9.33 % (3298431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298431)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298431)Termination reason: Instruction limit
% 24.97/13.19 % (3298431)Termination phase: Property scanning
% 24.97/13.19 % (3298431)Time elapsed: 0.032 s
% 24.97/13.19 % (3298431)Peak memory usage: 201 MB
% 24.97/13.19 % (3298431)Instructions burned: 117 (million)
% 24.97/13.19 % (3298429)Instruction limit reached!
% 24.97/13.19 % (3298429)------------------------------
% 24.97/13.19 % (3298429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298429)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298429)Termination reason: Instruction limit
% 24.97/13.19 % (3298429)Termination phase: Preprocessing 1
% 24.97/13.19 % (3298429)Time elapsed: 0.101 s
% 24.97/13.19 % (3298429)Peak memory usage: 202 MB
% 24.97/13.19 % (3298429)Instructions burned: 127 (million)
% 24.97/13.19 % (3298432)lrs+10_1_sil=8000:sp=occurrence:random_seed=262481323:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 24.97/13.19 % (3298435)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=370725506:i=437:sd=1:aac=none:ss=included_2935 on theBenchmark for (2935ds/437Mi)
% 24.97/13.19 % (3298436)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=952215835:i=5202:ss=axioms:sgt=16_2934 on theBenchmark for (2934ds/5202Mi)
% 24.97/13.19 % (3298435)Instruction limit reached!
% 24.97/13.19 % (3298435)------------------------------
% 24.97/13.19 % (3298435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298435)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298435)Termination reason: Instruction limit
% 24.97/13.19 % (3298435)Termination phase: SInE selection
% 24.97/13.19 % (3298435)Time elapsed: 0.194 s
% 24.97/13.19 % (3298435)Peak memory usage: 202 MB
% 24.97/13.19 % (3298435)Instructions burned: 439 (million)
% 24.97/13.19 % (3298440)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3117637698:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 24.97/13.19 % (3298440)Instruction limit reached!
% 24.97/13.19 % (3298440)------------------------------
% 24.97/13.19 % (3298440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298440)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298440)Termination reason: Instruction limit
% 24.97/13.19 % (3298440)Termination phase: SInE selection
% 24.97/13.19 % (3298440)Time elapsed: 0.059 s
% 24.97/13.19 % (3298440)Peak memory usage: 201 MB
% 24.97/13.19 % (3298440)Instructions burned: 135 (million)
% 24.97/13.19 % (3298442)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=35712875:st=8:i=592:sd=3:ep=RST:ss=axioms_2930 on theBenchmark for (2930ds/592Mi)
% 24.97/13.19 % (3298432)Instruction limit reached!
% 24.97/13.19 % (3298432)------------------------------
% 24.97/13.19 % (3298432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298432)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298432)Termination reason: Instruction limit
% 24.97/13.19 % (3298432)Termination phase: Preprocessing 2
% 24.97/13.19 % (3298432)Time elapsed: 0.672 s
% 24.97/13.19 % (3298432)Peak memory usage: 208 MB
% 24.97/13.19 % (3298432)Instructions burned: 908 (million)
% 24.97/13.19 % (3298442)Instruction limit reached!
% 24.97/13.19 % (3298442)------------------------------
% 24.97/13.19 % (3298442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298442)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298442)Termination reason: Instruction limit
% 24.97/13.19 % (3298442)Termination phase: SInE selection
% 24.97/13.19 % (3298442)Time elapsed: 0.228 s
% 24.97/13.19 % (3298442)Peak memory usage: 203 MB
% 24.97/13.19 % (3298442)Instructions burned: 594 (million)
% 24.97/13.19 % (3298444)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=233928914:st=3:i=13193:sd=3:ss=axioms_2927 on theBenchmark for (2927ds/13193Mi)
% 24.97/13.19 % (3298445)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=1288142166:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2926 on theBenchmark for (2926ds/125Mi)
% 24.97/13.19 % (3298445)Instruction limit reached!
% 24.97/13.19 % (3298445)------------------------------
% 24.97/13.19 % (3298445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298445)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298445)Termination reason: Instruction limit
% 24.97/13.19 % (3298445)Termination phase: Property scanning
% 24.97/13.19 % (3298445)Time elapsed: 0.036 s
% 24.97/13.19 % (3298445)Peak memory usage: 201 MB
% 24.97/13.19 % (3298445)Instructions burned: 127 (million)
% 24.97/13.19 % (3298448)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3788549629:i=134:gtgl=5:slsql=off:gtg=exists_sym_2924 on theBenchmark for (2924ds/134Mi)
% 24.97/13.19 % (3298448)Instruction limit reached!
% 24.97/13.19 % (3298448)------------------------------
% 24.97/13.19 % (3298448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298448)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298448)Termination reason: Instruction limit
% 24.97/13.19 % (3298448)Termination phase: Property scanning
% 24.97/13.19 % (3298448)Time elapsed: 0.037 s
% 24.97/13.19 % (3298448)Peak memory usage: 201 MB
% 24.97/13.19 % (3298448)Instructions burned: 134 (million)
% 24.97/13.19 % (3298450)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=361268090:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2922 on theBenchmark for (2922ds/141Mi)
% 24.97/13.19 % (3298450)Instruction limit reached!
% 24.97/13.19 % (3298450)------------------------------
% 24.97/13.19 % (3298450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298450)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298450)Termination reason: Instruction limit
% 24.97/13.19 % (3298450)Termination phase: SInE selection
% 24.97/13.19 % (3298450)Time elapsed: 0.061 s
% 24.97/13.19 % (3298450)Peak memory usage: 201 MB
% 24.97/13.19 % (3298450)Instructions burned: 141 (million)
% 24.97/13.19 % (3298425)Instruction limit reached!
% 24.97/13.19 % (3298425)------------------------------
% 24.97/13.19 % (3298425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298425)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298425)Termination reason: Instruction limit
% 24.97/13.19 % (3298425)Termination phase: Preprocessing 3
% 24.97/13.19 % (3298425)Time elapsed: 1.857 s
% 24.97/13.19 % (3298425)Peak memory usage: 305 MB
% 24.97/13.19 % (3298425)Instructions burned: 2350 (million)
% 24.97/13.19 % (3298452)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1690864948:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2920 on theBenchmark for (2920ds/431Mi)
% 24.97/13.19 % (3298452)Instruction limit reached!
% 24.97/13.19 % (3298452)------------------------------
% 24.97/13.19 % (3298452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298452)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298452)Termination reason: Instruction limit
% 24.97/13.19 % (3298452)Termination phase: SInE selection
% 24.97/13.19 % (3298452)Time elapsed: 0.185 s
% 24.97/13.19 % (3298452)Peak memory usage: 202 MB
% 24.97/13.19 % (3298452)Instructions burned: 431 (million)
% 24.97/13.19 % (3298454)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=2727472665:i=6060:aac=none:ins=25_2918 on theBenchmark for (2918ds/6060Mi)
% 24.97/13.19 % (3298456)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3080777659:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2917 on theBenchmark for (2917ds/150Mi)
% 24.97/13.19 % (3298456)Instruction limit reached!
% 24.97/13.19 % (3298456)------------------------------
% 24.97/13.19 % (3298456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.19 % (3298456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.19 % (3298456)CaDiCaL version: 2.1.3
% 24.97/13.19 % (3298456)Termination reason: Instruction limit
% 24.97/13.20 % (3298456)Termination phase: SInE selection
% 24.97/13.20 % (3298456)Time elapsed: 0.066 s
% 24.97/13.20 % (3298456)Peak memory usage: 201 MB
% 24.97/13.20 % (3298456)Instructions burned: 151 (million)
% 24.97/13.20 % (3298458)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3941729598:i=14155:bd=all_2915 on theBenchmark for (2915ds/14155Mi)
% 24.97/13.20 % (3298436)Instruction limit reached!
% 24.97/13.20 % (3298436)------------------------------
% 24.97/13.20 % (3298436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.20 % (3298436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.20 % (3298436)CaDiCaL version: 2.1.3
% 24.97/13.20 % (3298436)Termination reason: Instruction limit
% 24.97/13.20 % (3298436)Termination phase: Saturation
% 24.97/13.20 % (3298436)Time elapsed: 3.650 s
% 24.97/13.20 % (3298436)Peak memory usage: 415 MB
% 24.97/13.20 % (3298436)Instructions burned: 5204 (million)
% 24.97/13.20 % (3298460)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=688592527:i=667:av=off:fsr=off_2896 on theBenchmark for (2896ds/667Mi)
% 24.97/13.20 % (3298460)Instruction limit reached!
% 24.97/13.20 % (3298460)------------------------------
% 24.97/13.20 % (3298460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.20 % (3298460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.20 % (3298460)CaDiCaL version: 2.1.3
% 24.97/13.20 % (3298460)Termination reason: Instruction limit
% 24.97/13.20 % (3298460)Termination phase: Preprocessing 2
% 24.97/13.20 % (3298460)Time elapsed: 0.628 s
% 24.97/13.20 % (3298460)Peak memory usage: 218 MB
% 24.97/13.20 % (3298460)Instructions burned: 668 (million)
% 24.97/13.20 % (3298462)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2881837481:s2a=on:i=185:s2at=1.8:fdi=4_2887 on theBenchmark for (2887ds/185Mi)
% 24.97/13.20 % (3298462)Instruction limit reached!
% 24.97/13.20 % (3298462)------------------------------
% 24.97/13.20 % (3298462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.20 % (3298462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.20 % (3298462)CaDiCaL version: 2.1.3
% 24.97/13.20 % (3298462)Termination reason: Instruction limit
% 24.97/13.20 % (3298462)Termination phase: SInE selection
% 24.97/13.20 % (3298462)Time elapsed: 0.145 s
% 24.97/13.20 % (3298462)Peak memory usage: 201 MB
% 24.97/13.20 % (3298462)Instructions burned: 186 (million)
% 24.97/13.20 % (3298465)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3824120732:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2884 on theBenchmark for (2884ds/193Mi)
% 24.97/13.20 % (3298465)Instruction limit reached!
% 24.97/13.20 % (3298465)------------------------------
% 24.97/13.20 % (3298465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.97/13.20 % (3298465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.97/13.20 % (3298465)CaDiCaL version: 2.1.3
% 24.97/13.20 % (3298465)Termination reason: Instruction limit
% 24.97/13.20 % (3298465)Termination phase: SInE selection
% 24.97/13.20 % (3298465)Time elapsed: 0.152 s
% 24.97/13.20 % (3298465)Peak memory usage: 201 MB
% 24.97/13.20 % (3298465)Instructions burned: 193 (million)
% 24.97/13.20 % (3298444)First to succeed.
% 24.97/13.20 % (3298444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3298397"
% 24.97/13.20 % (3298467)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=427893369:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2881 on theBenchmark for (2881ds/4850Mi)
% 24.97/13.20 % (3298444)Refutation found. Thanks to Tanya!
% 24.97/13.20 % SZS status Theorem for theBenchmark
% 24.97/13.20 % SZS output start Proof for theBenchmark
% See solution above
% 54.23/13.46 % (3298444)------------------------------
% 54.23/13.46 % (3298444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.23/13.46 % (3298444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.23/13.46 % (3298444)CaDiCaL version: 2.1.3
% 54.23/13.46 % (3298444)Termination reason: Refutation
% 54.23/13.46 % (3298444)Time elapsed: 4.576 s
% 54.23/13.46 % (3298444)Peak memory usage: 383 MB
% 54.23/13.46 % (3298444)Instructions burned: 7237 (million)
% 54.23/13.46 % (3298444)------------------------------
% 54.23/13.46 % (3298444)------------------------------
% 54.23/13.46 % (3298397)Success in time 12.334 s
% 54.23/13.46 % Vampire exiting
%------------------------------------------------------------------------------