%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU438+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 : n002.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 12:49:04 PM UTC 2026
% Result : Theorem 55.96s 14.37s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 98 ( 25 unt; 4 def)
% Number of atoms : 251 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 278 ( 125 ~; 118 |; 11 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 128 ( 0 sgn 123 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f77,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X2,X1) )
=> r1_tarski(k2_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_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(f524,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,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_subset_1) ).
fof(f567,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f570,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_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(f71122,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)))
=> ( 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,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(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),X3,X4))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_relset_2) ).
fof(f71124,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(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),X3,X4))) ) ) ),
inference(negated_conjecture,[status(cth)],[f71123]) ).
fof(f71631,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ~ r1_tarski(k4_subset_1(X1,k8_relset_2(X0,X1,X2,X3),k8_relset_2(X0,X1,X2,X4)),k8_relset_2(X0,X1,X2,k4_subset_1(k2_zfmisc_1(X0,X1),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,[],[f71124]) ).
fof(f71884,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f570]) ).
fof(f71885,plain,
! [X0,X1,X2] :
( k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f71884]) ).
fof(f71890,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_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,[],[f567]) ).
fof(f71891,plain,
! [X0,X1,X2] :
( m1_subset_1(k4_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,[],[f71890]) ).
fof(f71892,plain,
! [X0,X1] :
( ! [X2] :
( r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,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,[],[f524]) ).
fof(f71897,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,[],[f71122]) ).
fof(f71898,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,[],[f71897]) ).
fof(f71915,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(f71916,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,[],[f71915]) ).
fof(f72778,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f72779,plain,
! [X0,X1,X2] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(flattening,[],[f72778]) ).
fof(f74151,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(f83509,plain,
( ~ r1_tarski(k4_subset_1(sK332,k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335)),k8_relset_2(sK331,sK332,sK333,k4_subset_1(k2_zfmisc_1(sK331,sK332),sK334,sK335)))
& m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
& m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
& m1_subset_1(sK333,k1_zfmisc_1(sK331)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK331,sK332,sK333,sK334,sK335]),skolemize(X0,sK331),skolemize(X1,sK332),skolemize(X2,sK333),skolemize(X3,sK334),skolemize(X4,sK335)],[f71631]) ).
fof(f84404,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,[],[f74151]) ).
fof(f86916,plain,
m1_subset_1(sK333,k1_zfmisc_1(sK331)),
inference(cnf_transformation,[],[f83509]) ).
fof(f86917,plain,
m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))),
inference(cnf_transformation,[],[f83509]) ).
fof(f86918,plain,
m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))),
inference(cnf_transformation,[],[f83509]) ).
fof(f86919,plain,
~ r1_tarski(k4_subset_1(sK332,k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335)),k8_relset_2(sK331,sK332,sK333,k4_subset_1(k2_zfmisc_1(sK331,sK332),sK334,sK335))),
inference(cnf_transformation,[],[f83509]) ).
fof(f87244,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f71885]) ).
fof(f87247,plain,
! [X2,X0,X1] :
( m1_subset_1(k4_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,[],[f71891]) ).
fof(f87248,plain,
! [X2,X0,X1] :
( r1_tarski(k3_subset_1(X0,k4_subset_1(X0,X1,X2)),k3_subset_1(X0,X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f71892]) ).
fof(f87255,plain,
! [X2,X3,X0,X1,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(cnf_transformation,[],[f71898]) ).
fof(f87268,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,[],[f71916]) ).
fof(f88662,plain,
! [X2,X0,X1] :
( r1_tarski(k2_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X2,X1) ),
inference(cnf_transformation,[],[f72779]) ).
fof(f88663,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f88668,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f90450,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,[],[f84404]) ).
fof(f112366,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| k2_xboole_0(X0,sK334) = k4_subset_1(k2_zfmisc_1(sK331,sK332),X0,sK334) ),
inference(resolution,[],[f87244,f86917]) ).
fof(f112367,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| k2_xboole_0(X0,sK335) = k4_subset_1(k2_zfmisc_1(sK331,sK332),X0,sK335) ),
inference(resolution,[],[f87244,f86918]) ).
fof(f112403,definition,
( spl2490_129
<=> m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK335),k1_zfmisc_1(sK332)) ),
introduced(definition,[new_symbols(definition,[spl2490_129])],[avatar_definition]) ).
fof(f112404,plain,
( m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK335),k1_zfmisc_1(sK332))
| ~ spl2490_129 ),
inference(avatar_component_clause,[],[f112403]) ).
fof(f112405,plain,
( ~ m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK335),k1_zfmisc_1(sK332))
| spl2490_129 ),
inference(avatar_component_clause,[],[f112403]) ).
fof(f112410,plain,
( ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| spl2490_129 ),
inference(resolution,[],[f112405,f87268]) ).
fof(f112411,plain,
( ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| spl2490_129 ),
inference(forward_subsumption_resolution,[],[f112410,f86916]) ).
fof(f112412,plain,
( $false
| spl2490_129 ),
inference(forward_subsumption_resolution,[],[f112411,f86918]) ).
fof(f112413,plain,
spl2490_129,
inference(avatar_contradiction_clause,[],[f112412]) ).
fof(f112415,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sK332))
| k4_subset_1(sK332,X0,k8_relset_2(sK331,sK332,sK333,sK335)) = k2_xboole_0(X0,k8_relset_2(sK331,sK332,sK333,sK335)) )
| ~ spl2490_129 ),
inference(resolution,[],[f112404,f87244]) ).
fof(f112421,definition,
( spl2490_131
<=> m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK334),k1_zfmisc_1(sK332)) ),
introduced(definition,[new_symbols(definition,[spl2490_131])],[avatar_definition]) ).
fof(f112422,plain,
( m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK334),k1_zfmisc_1(sK332))
| ~ spl2490_131 ),
inference(avatar_component_clause,[],[f112421]) ).
fof(f112423,plain,
( ~ m1_subset_1(k8_relset_2(sK331,sK332,sK333,sK334),k1_zfmisc_1(sK332))
| spl2490_131 ),
inference(avatar_component_clause,[],[f112421]) ).
fof(f112428,plain,
( ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| spl2490_131 ),
inference(resolution,[],[f112423,f87268]) ).
fof(f112429,plain,
( ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| spl2490_131 ),
inference(forward_subsumption_resolution,[],[f112428,f86916]) ).
fof(f112430,plain,
( $false
| spl2490_131 ),
inference(forward_subsumption_resolution,[],[f112429,f86917]) ).
fof(f112431,plain,
spl2490_131,
inference(avatar_contradiction_clause,[],[f112430]) ).
fof(f112479,plain,
k4_subset_1(k2_zfmisc_1(sK331,sK332),sK334,sK335) = k2_xboole_0(sK334,sK335),
inference(resolution,[],[f112367,f86917]) ).
fof(f112487,plain,
~ r1_tarski(k4_subset_1(sK332,k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335)),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335))),
inference(superposition,[],[f86919,f112479]) ).
fof(f112489,plain,
( m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))) ),
inference(superposition,[],[f87247,f112479]) ).
fof(f112490,plain,
( m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))) ),
inference(forward_subsumption_resolution,[],[f112489,f86917]) ).
fof(f112492,plain,
m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))),
inference(forward_subsumption_resolution,[],[f112490,f86918]) ).
fof(f112495,plain,
k2_xboole_0(sK335,sK334) = k4_subset_1(k2_zfmisc_1(sK331,sK332),sK335,sK334),
inference(resolution,[],[f112366,f86918]) ).
fof(f112501,plain,
k2_xboole_0(sK334,sK335) = k4_subset_1(k2_zfmisc_1(sK331,sK332),sK335,sK334),
inference(forward_demodulation,[],[f112495,f88668]) ).
fof(f112504,plain,
( k4_subset_1(sK332,k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335)) = k2_xboole_0(k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335))
| ~ spl2490_129
| ~ spl2490_131 ),
inference(resolution,[],[f112415,f112422]) ).
fof(f112516,plain,
( ~ r1_tarski(k2_xboole_0(k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,sK335)),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335)))
| ~ spl2490_129
| ~ spl2490_131 ),
inference(superposition,[],[f112487,f112504]) ).
fof(f112678,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_subset_1(X1,X0,X2))
| ~ m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(resolution,[],[f90450,f87248]) ).
fof(f112684,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_subset_1(X1,X0,X2))
| ~ m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(duplicate_literal_removal,[],[f112678]) ).
fof(f112686,plain,
! [X2,X0,X1] :
( r1_tarski(X0,k4_subset_1(X1,X0,X2))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(forward_subsumption_resolution,[],[f112684,f87247]) ).
fof(f112693,plain,
( r1_tarski(sK335,k2_xboole_0(sK334,sK335))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))) ),
inference(superposition,[],[f112686,f112501]) ).
fof(f112698,plain,
( r1_tarski(sK335,k2_xboole_0(sK334,sK335))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332))) ),
inference(forward_subsumption_resolution,[],[f112693,f86918]) ).
fof(f112701,plain,
r1_tarski(sK335,k2_xboole_0(sK334,sK335)),
inference(forward_subsumption_resolution,[],[f112698,f86917]) ).
fof(f112877,plain,
( ~ r1_tarski(k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335)))
| ~ r1_tarski(k8_relset_2(sK331,sK332,sK333,sK335),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335)))
| ~ spl2490_129
| ~ spl2490_131 ),
inference(resolution,[],[f88662,f112516]) ).
fof(f112880,definition,
( spl2490_136
<=> r1_tarski(k8_relset_2(sK331,sK332,sK333,sK335),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335))) ),
introduced(definition,[new_symbols(definition,[spl2490_136])],[avatar_definition]) ).
fof(f112882,plain,
( ~ r1_tarski(k8_relset_2(sK331,sK332,sK333,sK335),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335)))
| spl2490_136 ),
inference(avatar_component_clause,[],[f112880]) ).
fof(f112884,definition,
( spl2490_137
<=> r1_tarski(k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335))) ),
introduced(definition,[new_symbols(definition,[spl2490_137])],[avatar_definition]) ).
fof(f112886,plain,
( ~ r1_tarski(k8_relset_2(sK331,sK332,sK333,sK334),k8_relset_2(sK331,sK332,sK333,k2_xboole_0(sK334,sK335)))
| spl2490_137 ),
inference(avatar_component_clause,[],[f112884]) ).
fof(f112887,plain,
( ~ spl2490_136
| ~ spl2490_137
| ~ spl2490_129
| ~ spl2490_131 ),
inference(avatar_split_clause,[],[f112877,f112421,f112403,f112884,f112880]) ).
fof(f112888,plain,
( ~ r1_tarski(sK335,k2_xboole_0(sK334,sK335))
| ~ m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_136 ),
inference(resolution,[],[f112882,f87255]) ).
fof(f112889,plain,
( ~ m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_136 ),
inference(forward_subsumption_resolution,[],[f112888,f112701]) ).
fof(f112890,plain,
( ~ m1_subset_1(sK335,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_136 ),
inference(forward_subsumption_resolution,[],[f112889,f112492]) ).
fof(f112891,plain,
( ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_136 ),
inference(forward_subsumption_resolution,[],[f112890,f86918]) ).
fof(f112892,plain,
( $false
| spl2490_136 ),
inference(forward_subsumption_resolution,[],[f112891,f86916]) ).
fof(f112893,plain,
spl2490_136,
inference(avatar_contradiction_clause,[],[f112892]) ).
fof(f112894,plain,
( ~ r1_tarski(sK334,k2_xboole_0(sK334,sK335))
| ~ m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_137 ),
inference(resolution,[],[f112886,f87255]) ).
fof(f112895,plain,
( ~ m1_subset_1(k2_xboole_0(sK334,sK335),k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_137 ),
inference(forward_subsumption_resolution,[],[f112894,f88663]) ).
fof(f112896,plain,
( ~ m1_subset_1(sK334,k1_zfmisc_1(k2_zfmisc_1(sK331,sK332)))
| ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_137 ),
inference(forward_subsumption_resolution,[],[f112895,f112492]) ).
fof(f112897,plain,
( ~ m1_subset_1(sK333,k1_zfmisc_1(sK331))
| spl2490_137 ),
inference(forward_subsumption_resolution,[],[f112896,f86917]) ).
fof(f112898,plain,
( $false
| spl2490_137 ),
inference(forward_subsumption_resolution,[],[f112897,f86916]) ).
fof(f112899,plain,
spl2490_137,
inference(avatar_contradiction_clause,[],[f112898]) ).
cnf(s102,plain,
spl2490_129,
inference(sat_conversion,[],[f112413]) ).
cnf(s104,plain,
spl2490_131,
inference(sat_conversion,[],[f112431]) ).
cnf(s107,plain,
( ~ spl2490_129
| ~ spl2490_131
| ~ spl2490_136
| ~ spl2490_137 ),
inference(sat_conversion,[],[f112887]) ).
cnf(s108,plain,
spl2490_136,
inference(sat_conversion,[],[f112893]) ).
cnf(s109,plain,
spl2490_137,
inference(sat_conversion,[],[f112899]) ).
cnf(s110,plain,
( ~ spl2490_129
| ~ spl2490_131 ),
inference(rat,[],[s107,s109,s108]) ).
cnf(s111,plain,
~ spl2490_129,
inference(rat,[],[s110,s104]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s102,s111]) ).
fof(f112900,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU438+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 05:31:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 18.07/8.12 % (29426)Detected formulas, will run a generic FOF schedule.
% 18.07/8.12 % (29437)dis-21_1_sil=8000:lcm=predicate:random_seed=2144284290:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2945 on theBenchmark for (2945ds/129Mi)
% 18.07/8.12 % (29431)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=2439664352:i=141193_2945 on theBenchmark for (2945ds/141193Mi)
% 18.07/8.12 % (29432)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=4242653887:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2945 on theBenchmark for (2945ds/134677Mi)
% 18.07/8.12 % (29433)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=2034584870:i=141695:sd=1:nm=32:gsp=on:ss=included_2945 on theBenchmark for (2945ds/141695Mi)
% 18.07/8.12 % (29434)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2018576269:i=109:sd=1:ins=1:gsp=on:ss=axioms_2945 on theBenchmark for (2945ds/109Mi)
% 18.07/8.12 % (29436)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3719853579:s2a=on:i=139:gtg=position_2945 on theBenchmark for (2945ds/139Mi)
% 18.07/8.12 % (29435)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2036380099:i=119:av=off:ss=axioms_2945 on theBenchmark for (2945ds/119Mi)
% 18.07/8.12 % (29437)Instruction limit reached!
% 18.07/8.12 % (29437)------------------------------
% 18.07/8.12 % (29437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.07/8.12 % (29437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.07/8.12 % (29437)CaDiCaL version: 2.1.3
% 18.07/8.12 % (29437)Termination reason: Instruction limit
% 18.07/8.12 % (29437)Termination phase: SInE selection
% 18.07/8.12 % (29437)Time elapsed: 0.061 s
% 18.07/8.12 % (29437)Peak memory usage: 201 MB
% 18.07/8.12 % (29437)Instructions burned: 130 (million)
% 18.07/8.12 % (29436)Instruction limit reached!
% 18.07/8.12 % (29436)------------------------------
% 18.07/8.12 % (29436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.07/8.12 % (29436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.07/8.12 % (29436)CaDiCaL version: 2.1.3
% 18.07/8.12 % (29436)Termination reason: Instruction limit
% 18.07/8.12 % (29436)Termination phase: Property scanning
% 18.07/8.12 % (29436)Time elapsed: 0.069 s
% 18.07/8.12 % (29436)Peak memory usage: 201 MB
% 18.07/8.12 % (29436)Instructions burned: 140 (million)
% 18.07/8.12 % (29434)Instruction limit reached!
% 18.07/8.12 % (29434)------------------------------
% 18.07/8.12 % (29434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.07/8.12 % (29434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.07/8.12 % (29434)CaDiCaL version: 2.1.3
% 18.07/8.12 % (29434)Termination reason: Instruction limit
% 18.07/8.12 % (29434)Termination phase: SInE selection
% 18.07/8.12 % (29434)Time elapsed: 0.086 s
% 18.07/8.12 % (29434)Peak memory usage: 201 MB
% 18.07/8.12 % (29434)Instructions burned: 109 (million)
% 18.07/8.12 % (29435)Instruction limit reached!
% 18.07/8.12 % (29435)------------------------------
% 18.07/8.12 % (29435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.07/8.12 % (29435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.07/8.12 % (29435)CaDiCaL version: 2.1.3
% 18.07/8.12 % (29435)Termination reason: Instruction limit
% 18.07/8.12 % (29435)Termination phase: SInE selection
% 18.07/8.12 % (29435)Time elapsed: 0.090 s
% 18.07/8.12 % (29435)Peak memory usage: 201 MB
% 18.07/8.12 % (29435)Instructions burned: 119 (million)
% 18.07/8.12 % (29445)lrs+10_1_sil=8000:sp=occurrence:random_seed=3595330892:i=285:sd=3:ss=axioms:sgt=8_2943 on theBenchmark for (2943ds/285Mi)
% 18.07/8.12 % (29446)lrs+10_1_sil=32000:urr=on:br=off:random_seed=637448503:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 18.07/8.12 % (29448)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=662435221:s2a=on:i=248:s2at=1.23:gtg=position_2942 on theBenchmark for (2942ds/248Mi)
% 18.07/8.12 % (29447)lrs+1011_1_sil=32000:sp=occurrence:random_seed=245193742:i=325:sd=1:ss=axioms:sgt=32_2942 on theBenchmark for (2942ds/325Mi)
% 18.07/8.12 % (29445)Instruction limit reached!
% 18.07/8.12 % (29445)------------------------------
% 18.07/8.12 % (29445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29445)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29445)Termination reason: Instruction limit
% 33.11/10.20 % (29445)Termination phase: SInE selection
% 33.11/10.20 % (29445)Time elapsed: 0.125 s
% 33.11/10.20 % (29445)Peak memory usage: 201 MB
% 33.11/10.20 % (29445)Instructions burned: 288 (million)
% 33.11/10.20 % (29446)Instruction limit reached!
% 33.11/10.20 % (29446)------------------------------
% 33.11/10.20 % (29446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29446)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29446)Termination reason: Instruction limit
% 33.11/10.20 % (29446)Termination phase: Property scanning
% 33.11/10.20 % (29446)Time elapsed: 0.076 s
% 33.11/10.20 % (29446)Peak memory usage: 201 MB
% 33.11/10.20 % (29446)Instructions burned: 158 (million)
% 33.11/10.20 % (29448)Instruction limit reached!
% 33.11/10.20 % (29448)------------------------------
% 33.11/10.20 % (29448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29448)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29448)Termination reason: Instruction limit
% 33.11/10.20 % (29448)Termination phase: Property scanning
% 33.11/10.20 % (29448)Time elapsed: 0.113 s
% 33.11/10.20 % (29448)Peak memory usage: 201 MB
% 33.11/10.20 % (29448)Instructions burned: 250 (million)
% 33.11/10.20 % (29453)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2334573827:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2941 on theBenchmark for (2941ds/294Mi)
% 33.11/10.20 % (29454)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1451169178:i=2350_2940 on theBenchmark for (2940ds/2350Mi)
% 33.11/10.20 % (29447)Instruction limit reached!
% 33.11/10.20 % (29447)------------------------------
% 33.11/10.20 % (29447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29447)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29447)Termination reason: Instruction limit
% 33.11/10.20 % (29447)Termination phase: SInE selection
% 33.11/10.20 % (29447)Time elapsed: 0.254 s
% 33.11/10.20 % (29447)Peak memory usage: 201 MB
% 33.11/10.20 % (29447)Instructions burned: 326 (million)
% 33.11/10.20 % (29455)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=668695215:cts=off:i=113:fsr=off:ss=included:sgt=4_2940 on theBenchmark for (2940ds/113Mi)
% 33.11/10.20 % (29453)Instruction limit reached!
% 33.11/10.20 % (29453)------------------------------
% 33.11/10.20 % (29453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29453)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29453)Termination reason: Instruction limit
% 33.11/10.20 % (29453)Termination phase: SInE selection
% 33.11/10.20 % (29453)Time elapsed: 0.135 s
% 33.11/10.20 % (29453)Peak memory usage: 201 MB
% 33.11/10.20 % (29453)Instructions burned: 296 (million)
% 33.11/10.20 % (29455)Instruction limit reached!
% 33.11/10.20 % (29455)------------------------------
% 33.11/10.20 % (29455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29455)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29455)Termination reason: Instruction limit
% 33.11/10.20 % (29455)Termination phase: SInE selection
% 33.11/10.20 % (29455)Time elapsed: 0.090 s
% 33.11/10.20 % (29455)Peak memory usage: 201 MB
% 33.11/10.20 % (29455)Instructions burned: 114 (million)
% 33.11/10.20 % (29460)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=390455217:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2938 on theBenchmark for (2938ds/114Mi)
% 33.11/10.20 % (29459)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2598257430:i=127:av=off:fsr=off:sup=off_2938 on theBenchmark for (2938ds/127Mi)
% 33.11/10.20 % (29460)Instruction limit reached!
% 33.11/10.20 % (29460)------------------------------
% 33.11/10.20 % (29460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.11/10.20 % (29460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.11/10.20 % (29460)CaDiCaL version: 2.1.3
% 33.11/10.20 % (29460)Termination reason: Instruction limit
% 33.11/10.20 % (29460)Termination phase: Property scanning
% 58.95/13.99 % (29460)Time elapsed: 0.033 s
% 58.95/13.99 % (29460)Peak memory usage: 201 MB
% 58.95/13.99 % (29460)Instructions burned: 118 (million)
% 58.95/13.99 % (29464)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1393113838:i=437:sd=1:aac=none:ss=included_2937 on theBenchmark for (2937ds/437Mi)
% 58.95/13.99 % (29459)Instruction limit reached!
% 58.95/13.99 % (29459)------------------------------
% 58.95/13.99 % (29459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.95/13.99 % (29459)CaDiCaL version: 2.1.3
% 58.95/13.99 % (29459)Termination reason: Instruction limit
% 58.95/13.99 % (29459)Termination phase: Preprocessing 1
% 58.95/13.99 % (29459)Time elapsed: 0.102 s
% 58.95/13.99 % (29459)Peak memory usage: 202 MB
% 58.95/13.99 % (29459)Instructions burned: 127 (million)
% 58.95/13.99 % (29461)lrs+10_1_sil=8000:sp=occurrence:random_seed=1871395321:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2937 on theBenchmark for (2937ds/907Mi)
% 58.95/13.99 % (29467)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=442224883:i=5202:ss=axioms:sgt=16_2936 on theBenchmark for (2936ds/5202Mi)
% 58.95/13.99 % (29464)Instruction limit reached!
% 58.95/13.99 % (29464)------------------------------
% 58.95/13.99 % (29464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.95/13.99 % (29464)CaDiCaL version: 2.1.3
% 58.95/13.99 % (29464)Termination reason: Instruction limit
% 58.95/13.99 % (29464)Termination phase: SInE selection
% 58.95/13.99 % (29464)Time elapsed: 0.184 s
% 58.95/13.99 % (29464)Peak memory usage: 202 MB
% 58.95/13.99 % (29464)Instructions burned: 439 (million)
% 58.95/13.99 % (29469)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3369618273:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2934 on theBenchmark for (2934ds/134Mi)
% 58.95/13.99 % (29469)Instruction limit reached!
% 58.95/13.99 % (29469)------------------------------
% 58.95/13.99 % (29469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.95/13.99 % (29469)CaDiCaL version: 2.1.3
% 58.95/13.99 % (29469)Termination reason: Instruction limit
% 58.95/13.99 % (29469)Termination phase: SInE selection
% 58.95/13.99 % (29469)Time elapsed: 0.058 s
% 58.95/13.99 % (29469)Peak memory usage: 201 MB
% 58.95/13.99 % (29469)Instructions burned: 134 (million)
% 58.95/13.99 % (29471)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4253571301:st=8:i=592:sd=3:ep=RST:ss=axioms_2932 on theBenchmark for (2932ds/592Mi)
% 58.95/13.99 % (29471)Instruction limit reached!
% 58.95/13.99 % (29471)------------------------------
% 58.95/13.99 % (29471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.95/13.99 % (29471)CaDiCaL version: 2.1.3
% 58.95/13.99 % (29471)Termination reason: Instruction limit
% 58.95/13.99 % (29471)Termination phase: SInE selection
% 58.95/13.99 % (29471)Time elapsed: 0.219 s
% 58.95/13.99 % (29471)Peak memory usage: 203 MB
% 58.95/13.99 % (29471)Instructions burned: 593 (million)
% 58.95/13.99 % (29461)Instruction limit reached!
% 58.95/13.99 % (29461)------------------------------
% 58.95/13.99 % (29461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.95/13.99 % (29461)CaDiCaL version: 2.1.3
% 58.95/13.99 % (29461)Termination reason: Instruction limit
% 58.95/13.99 % (29461)Termination phase: Preprocessing 2
% 58.95/13.99 % (29461)Time elapsed: 0.703 s
% 58.95/13.99 % (29461)Peak memory usage: 208 MB
% 58.95/13.99 % (29461)Instructions burned: 907 (million)
% 58.95/13.99 % (29473)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=394202195:st=3:i=13193:sd=3:ss=axioms_2929 on theBenchmark for (2929ds/13193Mi)
% 58.95/13.99 % (29474)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=1375501758:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2929 on theBenchmark for (2929ds/125Mi)
% 58.95/13.99 % (29474)Instruction limit reached!
% 58.95/13.99 % (29474)------------------------------
% 58.95/13.99 % (29474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.95/13.99 % (29474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29474)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29474)Termination reason: Instruction limit
% 55.96/14.37 % (29474)Termination phase: Property scanning
% 55.96/14.37 % (29474)Time elapsed: 0.063 s
% 55.96/14.37 % (29474)Peak memory usage: 201 MB
% 55.96/14.37 % (29474)Instructions burned: 127 (million)
% 55.96/14.37 % (29477)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3836124010:i=134:gtgl=5:slsql=off:gtg=exists_sym_2927 on theBenchmark for (2927ds/134Mi)
% 55.96/14.37 % (29477)Instruction limit reached!
% 55.96/14.37 % (29477)------------------------------
% 55.96/14.37 % (29477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29477)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29477)Termination reason: Instruction limit
% 55.96/14.37 % (29477)Termination phase: Property scanning
% 55.96/14.37 % (29477)Time elapsed: 0.067 s
% 55.96/14.37 % (29477)Peak memory usage: 201 MB
% 55.96/14.37 % (29477)Instructions burned: 136 (million)
% 55.96/14.37 % (29479)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=781141234:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2924 on theBenchmark for (2924ds/141Mi)
% 55.96/14.37 % (29479)Instruction limit reached!
% 55.96/14.37 % (29479)------------------------------
% 55.96/14.37 % (29479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29479)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29479)Termination reason: Instruction limit
% 55.96/14.37 % (29479)Termination phase: SInE selection
% 55.96/14.37 % (29479)Time elapsed: 0.113 s
% 55.96/14.37 % (29479)Peak memory usage: 201 MB
% 55.96/14.37 % (29479)Instructions burned: 141 (million)
% 55.96/14.37 % (29481)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1774070580:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2922 on theBenchmark for (2922ds/431Mi)
% 55.96/14.37 % (29454)Instruction limit reached!
% 55.96/14.37 % (29454)------------------------------
% 55.96/14.37 % (29454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29454)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29454)Termination reason: Instruction limit
% 55.96/14.37 % (29454)Termination phase: Preprocessing 3
% 55.96/14.37 % (29454)Time elapsed: 1.855 s
% 55.96/14.37 % (29454)Peak memory usage: 305 MB
% 55.96/14.37 % (29454)Instructions burned: 2352 (million)
% 55.96/14.37 % (29483)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=1176767418:i=6060:aac=none:ins=25_2920 on theBenchmark for (2920ds/6060Mi)
% 55.96/14.37 % (29481)Instruction limit reached!
% 55.96/14.37 % (29481)------------------------------
% 55.96/14.37 % (29481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29481)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29481)Termination reason: Instruction limit
% 55.96/14.37 % (29481)Termination phase: SInE selection
% 55.96/14.37 % (29481)Time elapsed: 0.329 s
% 55.96/14.37 % (29481)Peak memory usage: 202 MB
% 55.96/14.37 % (29481)Instructions burned: 432 (million)
% 55.96/14.37 % (29485)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=3900115322:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2917 on theBenchmark for (2917ds/150Mi)
% 55.96/14.37 % (29485)Instruction limit reached!
% 55.96/14.37 % (29485)------------------------------
% 55.96/14.37 % (29485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29485)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29485)Termination reason: Instruction limit
% 55.96/14.37 % (29485)Termination phase: SInE selection
% 55.96/14.37 % (29485)Time elapsed: 0.119 s
% 55.96/14.37 % (29485)Peak memory usage: 201 MB
% 55.96/14.37 % (29485)Instructions burned: 151 (million)
% 55.96/14.37 % (29487)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=343396236:i=14155:bd=all_2914 on theBenchmark for (2914ds/14155Mi)
% 55.96/14.37 % (29467)Instruction limit reached!
% 55.96/14.37 % (29467)------------------------------
% 55.96/14.37 % (29467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29467)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29467)Termination reason: Instruction limit
% 55.96/14.37 % (29467)Termination phase: Saturation
% 55.96/14.37 % (29467)Time elapsed: 2.857 s
% 55.96/14.37 % (29467)Peak memory usage: 399 MB
% 55.96/14.37 % (29467)Instructions burned: 5206 (million)
% 55.96/14.37 % (29489)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2675260539:i=667:av=off:fsr=off_2906 on theBenchmark for (2906ds/667Mi)
% 55.96/14.37 % (29489)Instruction limit reached!
% 55.96/14.37 % (29489)------------------------------
% 55.96/14.37 % (29489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29489)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29489)Termination reason: Instruction limit
% 55.96/14.37 % (29489)Termination phase: Preprocessing 2
% 55.96/14.37 % (29489)Time elapsed: 0.383 s
% 55.96/14.37 % (29489)Peak memory usage: 218 MB
% 55.96/14.37 % (29489)Instructions burned: 670 (million)
% 55.96/14.37 % (29491)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=2584959577:s2a=on:i=185:s2at=1.8:fdi=4_2900 on theBenchmark for (2900ds/185Mi)
% 55.96/14.37 % (29491)Instruction limit reached!
% 55.96/14.37 % (29491)------------------------------
% 55.96/14.37 % (29491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29491)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29491)Termination reason: Instruction limit
% 55.96/14.37 % (29491)Termination phase: SInE selection
% 55.96/14.37 % (29491)Time elapsed: 0.088 s
% 55.96/14.37 % (29491)Peak memory usage: 201 MB
% 55.96/14.37 % (29491)Instructions burned: 185 (million)
% 55.96/14.37 % (29493)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3527856607:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2898 on theBenchmark for (2898ds/193Mi)
% 55.96/14.37 % (29493)Instruction limit reached!
% 55.96/14.37 % (29493)------------------------------
% 55.96/14.37 % (29493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29493)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29493)Termination reason: Instruction limit
% 55.96/14.37 % (29493)Termination phase: SInE selection
% 55.96/14.37 % (29493)Time elapsed: 0.085 s
% 55.96/14.37 % (29493)Peak memory usage: 201 MB
% 55.96/14.37 % (29493)Instructions burned: 194 (million)
% 55.96/14.37 % (29495)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=233530296:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2897 on theBenchmark for (2897ds/4850Mi)
% 55.96/14.37 % (29495)Instruction limit reached!
% 55.96/14.37 % (29495)------------------------------
% 55.96/14.37 % (29495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29495)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29495)Termination reason: Instruction limit
% 55.96/14.37 % (29495)Termination phase: Property scanning
% 55.96/14.37 % (29495)Time elapsed: 1.944 s
% 55.96/14.37 % (29495)Peak memory usage: 355 MB
% 55.96/14.37 % (29495)Instructions burned: 4851 (million)
% 55.96/14.37 % (29497)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3750902322:i=12111:sd=1:ss=included_2876 on theBenchmark for (2876ds/12111Mi)
% 55.96/14.37 % (29483)Instruction limit reached!
% 55.96/14.37 % (29483)------------------------------
% 55.96/14.37 % (29483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29483)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29483)Termination reason: Instruction limit
% 55.96/14.37 % (29483)Termination phase: NewCNF
% 55.96/14.37 % (29483)Time elapsed: 4.839 s
% 55.96/14.37 % (29483)Peak memory usage: 381 MB
% 55.96/14.37 % (29483)Instructions burned: 6060 (million)
% 55.96/14.37 % (29499)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1192690458:i=319:kws=precedence:fsr=off_2870 on theBenchmark for (2870ds/319Mi)
% 55.96/14.37 % (29473)First to succeed.
% 55.96/14.37 % (29473)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29426"
% 55.96/14.37 % (29499)Instruction limit reached!
% 55.96/14.37 % (29499)------------------------------
% 55.96/14.37 % (29499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.96/14.37 % (29499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.96/14.37 % (29499)CaDiCaL version: 2.1.3
% 55.96/14.37 % (29499)Termination reason: Instruction limit
% 55.96/14.37 % (29499)Termination phase: Preprocessing 1
% 55.96/14.37 % (29499)Time elapsed: 0.232 s
% 55.96/14.37 % (29499)Peak memory usage: 203 MB
% 55.96/14.37 % (29499)Instructions burned: 319 (million)
% 55.96/14.37 % (29473)Refutation found. Thanks to Tanya!
% 55.96/14.37 % SZS status Theorem for theBenchmark
% 55.96/14.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/14.61 % (29473)------------------------------
% 0.15/14.61 % (29473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/14.61 % (29473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/14.61 % (29473)CaDiCaL version: 2.1.3
% 0.15/14.61 % (29473)Termination reason: Refutation
% 0.15/14.61 % (29473)Time elapsed: 6.038 s
% 0.15/14.61 % (29473)Peak memory usage: 463 MB
% 0.15/14.61 % (29473)Instructions burned: 11514 (million)
% 0.15/14.61 % (29473)------------------------------
% 0.15/14.61 % (29473)------------------------------
% 0.15/14.61 % (29426)Success in time 13.536 s
% 0.15/14.61 % Vampire exiting
%------------------------------------------------------------------------------