%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU427+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 : n006.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 12:48:57 PM UTC 2026
% Result : Theorem 15.23s 7.33s
% Output : Refutation 30.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 133 ( 33 unt; 14 def)
% Number of atoms : 313 ( 83 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 320 ( 140 ~; 130 |; 18 &)
% ( 16 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 100 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f71,axiom,
! [X0] : r1_tarski(k1_xboole_0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_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(f1481,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f37288,axiom,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_pua2mss1) ).
fof(f71070,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1))))
=> k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_2) ).
fof(f71072,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_2) ).
fof(f71073,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0)))
=> k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_2) ).
fof(f71105,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)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
<=> X2 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_relset_2) ).
fof(f71108,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k8_relset_2(X0,X1,X3,X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_relset_2) ).
fof(f71109,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
=> k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4) = k8_relset_2(X0,X1,X3,X4) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f71108]) ).
fof(f71169,plain,
! [X0,X1,X2,X3] :
( k4_relset_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(ennf_transformation,[],[f71070]) ).
fof(f71171,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k6_relset_2(X0,X1,X2))
& v1_funct_2(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
& m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f71072]) ).
fof(f71172,plain,
! [X0,X1,X2] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(ennf_transformation,[],[f71073]) ).
fof(f71203,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
<=> X2 = k1_xboole_0 )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71105]) ).
fof(f71207,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,X3,X4) != k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4)
& k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f71109]) ).
fof(f71208,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( k8_relset_2(X0,X1,X3,X4) != k8_relset_2(X0,X1,k4_subset_1(X0,X2,X3),X4)
& k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X4),k3_pua2mss1(X2)) = k1_xboole_0
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X3,k1_zfmisc_1(X0)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f71207]) ).
fof(f71309,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1481]) ).
fof(f71621,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f72031,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(f72032,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,[],[f72031]) ).
fof(f72054,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( ( k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) = k1_xboole_0
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| k1_xboole_0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2)) ) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f71203]) ).
fof(f72058,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k4_subset_1(sK5,sK7,sK8),sK9)
& k1_xboole_0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k6_relset_2(sK6,sK5,sK9),k3_pua2mss1(sK7))
& m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(sK5,sK6)))
& m1_subset_1(sK8,k1_zfmisc_1(sK5))
& m1_subset_1(sK7,k1_zfmisc_1(sK5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f71208]) ).
fof(f72389,plain,
! [X2,X3,X0,X1] :
( k9_relat_1(X2,X3) = k4_relset_2(X0,X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,k1_zfmisc_1(X1)))) ),
inference(cnf_transformation,[],[f71169]) ).
fof(f72392,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_2(X0,X1,X2),k1_zfmisc_1(X1),k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f71171]) ).
fof(f72395,plain,
! [X2,X0,X1] :
( k6_relset_2(X0,X1,X2) = k5_relset_2(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X1,X0))) ),
inference(cnf_transformation,[],[f71172]) ).
fof(f72436,plain,
! [X2,X3,X0,X1] :
( k1_xboole_0 = X2
| k1_xboole_0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k3_pua2mss1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72054]) ).
fof(f72442,plain,
m1_subset_1(sK7,k1_zfmisc_1(sK5)),
inference(cnf_transformation,[],[f72058]) ).
fof(f72443,plain,
m1_subset_1(sK8,k1_zfmisc_1(sK5)),
inference(cnf_transformation,[],[f72058]) ).
fof(f72444,plain,
m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(sK5,sK6))),
inference(cnf_transformation,[],[f72058]) ).
fof(f72445,plain,
k1_xboole_0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k6_relset_2(sK6,sK5,sK9),k3_pua2mss1(sK7)),
inference(cnf_transformation,[],[f72058]) ).
fof(f72446,plain,
k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k4_subset_1(sK5,sK7,sK8),sK9),
inference(cnf_transformation,[],[f72058]) ).
fof(f72609,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f71309]) ).
fof(f72885,plain,
! [X0] : k3_pua2mss1(X0) = k8_eqrel_1(X0,k6_partfun1(X0)),
inference(cnf_transformation,[],[f37288]) ).
fof(f72912,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f72958,plain,
! [X0] : r1_tarski(k1_xboole_0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f73025,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f71621]) ).
fof(f73766,plain,
! [X2,X0,X1] :
( k2_xboole_0(X1,X2) = k4_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f72032]) ).
fof(f73794,plain,
! [X2,X3,X0,X1] :
( np__0 = X2
| np__0 != k4_relset_2(k1_zfmisc_1(X0),X1,k6_relset_2(X1,X0,X3),k8_eqrel_1(X2,k6_partfun1(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(definition_unfolding,[],[f72436,f72912,f72912,f72885]) ).
fof(f73795,plain,
np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k6_relset_2(sK6,sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7))),
inference(definition_unfolding,[],[f72445,f72912,f72885]) ).
fof(f74016,plain,
! [X0] : r1_tarski(np__0,X0),
inference(definition_unfolding,[],[f72958,f72912]) ).
fof(f74744,definition,
( spl375_1
<=> m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(sK5,sK6))) ),
introduced(definition,[new_symbols(definition,[spl375_1])],[avatar_definition]) ).
fof(f74746,plain,
( m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(sK5,sK6)))
| ~ spl375_1 ),
inference(avatar_component_clause,[],[f74744]) ).
fof(f74747,plain,
spl375_1,
inference(avatar_split_clause,[],[f72444,f74744]) ).
fof(f74748,plain,
( m2_relset_1(k6_relset_2(sK6,sK5,sK9),k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))
| ~ spl375_1 ),
inference(resolution,[],[f74746,f72392]) ).
fof(f74751,plain,
( k6_relset_2(sK6,sK5,sK9) = k5_relset_2(sK5,sK9)
| ~ spl375_1 ),
inference(resolution,[],[f74746,f72395]) ).
fof(f75010,plain,
( m2_relset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))
| ~ spl375_1 ),
inference(forward_demodulation,[],[f74748,f74751]) ).
fof(f75035,definition,
( spl375_4
<=> k8_relset_2(sK5,sK6,sK8,sK9) = k8_relset_2(sK5,sK6,k4_subset_1(sK5,sK7,sK8),sK9) ),
introduced(definition,[new_symbols(definition,[spl375_4])],[avatar_definition]) ).
fof(f75037,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k4_subset_1(sK5,sK7,sK8),sK9)
| spl375_4 ),
inference(avatar_component_clause,[],[f75035]) ).
fof(f75038,plain,
~ spl375_4,
inference(avatar_split_clause,[],[f72446,f75035]) ).
fof(f75039,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k2_xboole_0(sK7,sK8),sK9)
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK5))
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK5))
| spl375_4 ),
inference(superposition,[],[f75037,f73766]) ).
fof(f75048,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k2_xboole_0(sK7,sK8),sK9)
| ~ m1_subset_1(sK8,k1_zfmisc_1(sK5))
| spl375_4 ),
inference(forward_subsumption_resolution,[],[f75039,f72442]) ).
fof(f75053,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k2_xboole_0(sK7,sK8),sK9)
| spl375_4 ),
inference(forward_subsumption_resolution,[],[f75048,f72443]) ).
fof(f75055,definition,
( spl375_5
<=> k8_relset_2(sK5,sK6,sK8,sK9) = k8_relset_2(sK5,sK6,k2_xboole_0(sK7,sK8),sK9) ),
introduced(definition,[new_symbols(definition,[spl375_5])],[avatar_definition]) ).
fof(f75057,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,k2_xboole_0(sK7,sK8),sK9)
| spl375_5 ),
inference(avatar_component_clause,[],[f75055]) ).
fof(f75058,plain,
( ~ spl375_5
| spl375_4 ),
inference(avatar_split_clause,[],[f75053,f75035,f75055]) ).
fof(f75062,plain,
( k8_relset_2(sK5,sK6,sK8,sK9) != k8_relset_2(sK5,sK6,sK8,sK9)
| ~ r1_tarski(sK7,sK8)
| spl375_5 ),
inference(superposition,[],[f75057,f73025]) ).
fof(f75066,plain,
( ~ r1_tarski(sK7,sK8)
| spl375_5 ),
inference(trivial_inequality_removal,[],[f75062]) ).
fof(f75068,definition,
( spl375_6
<=> np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k6_relset_2(sK6,sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7))) ),
introduced(definition,[new_symbols(definition,[spl375_6])],[avatar_definition]) ).
fof(f75070,plain,
( np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k6_relset_2(sK6,sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl375_6 ),
inference(avatar_component_clause,[],[f75068]) ).
fof(f75071,plain,
spl375_6,
inference(avatar_split_clause,[],[f73795,f75068]) ).
fof(f75072,plain,
( np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl375_1
| ~ spl375_6 ),
inference(forward_demodulation,[],[f75070,f74751]) ).
fof(f75378,definition,
( spl375_8
<=> m1_subset_1(sK7,k1_zfmisc_1(sK5)) ),
introduced(definition,[new_symbols(definition,[spl375_8])],[avatar_definition]) ).
fof(f75380,plain,
( m1_subset_1(sK7,k1_zfmisc_1(sK5))
| ~ spl375_8 ),
inference(avatar_component_clause,[],[f75378]) ).
fof(f75381,plain,
spl375_8,
inference(avatar_split_clause,[],[f72442,f75378]) ).
fof(f75604,definition,
( spl375_9
<=> m2_relset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(sK5),k1_zfmisc_1(sK6)) ),
introduced(definition,[new_symbols(definition,[spl375_9])],[avatar_definition]) ).
fof(f75606,plain,
( m2_relset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))
| ~ spl375_9 ),
inference(avatar_component_clause,[],[f75604]) ).
fof(f75607,plain,
( spl375_9
| ~ spl375_1 ),
inference(avatar_split_clause,[],[f75010,f74744,f75604]) ).
fof(f75613,plain,
( m1_subset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))))
| ~ spl375_9 ),
inference(resolution,[],[f75606,f72609]) ).
fof(f76613,definition,
( spl375_10
<=> np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7))) ),
introduced(definition,[new_symbols(definition,[spl375_10])],[avatar_definition]) ).
fof(f76615,plain,
( np__0 = k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl375_10 ),
inference(avatar_component_clause,[],[f76613]) ).
fof(f76616,plain,
( spl375_10
| ~ spl375_1
| ~ spl375_6 ),
inference(avatar_split_clause,[],[f75072,f75068,f74744,f76613]) ).
fof(f76622,plain,
( np__0 = k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ m1_subset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))))
| ~ spl375_10 ),
inference(superposition,[],[f72389,f76615]) ).
fof(f76624,plain,
( np__0 = k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl375_9
| ~ spl375_10 ),
inference(forward_subsumption_resolution,[],[f76622,f75613]) ).
fof(f77858,definition,
( spl375_18
<=> k6_relset_2(sK6,sK5,sK9) = k5_relset_2(sK5,sK9) ),
introduced(definition,[new_symbols(definition,[spl375_18])],[avatar_definition]) ).
fof(f77860,plain,
( k6_relset_2(sK6,sK5,sK9) = k5_relset_2(sK5,sK9)
| ~ spl375_18 ),
inference(avatar_component_clause,[],[f77858]) ).
fof(f77861,plain,
( spl375_18
| ~ spl375_1 ),
inference(avatar_split_clause,[],[f74751,f74744,f77858]) ).
fof(f77867,plain,
( ! [X0] :
( np__0 != k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(sK5,sK6)))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) )
| ~ spl375_18 ),
inference(superposition,[],[f73794,f77860]) ).
fof(f77870,plain,
( ! [X0] :
( np__0 != k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) )
| ~ spl375_1
| ~ spl375_18 ),
inference(forward_subsumption_resolution,[],[f77867,f74746]) ).
fof(f78097,definition,
( spl375_28
<=> m1_subset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK5),k1_zfmisc_1(sK6)))) ),
introduced(definition,[new_symbols(definition,[spl375_28])],[avatar_definition]) ).
fof(f78099,plain,
( m1_subset_1(k5_relset_2(sK5,sK9),k1_zfmisc_1(k2_zfmisc_1(k1_zfmisc_1(sK5),k1_zfmisc_1(sK6))))
| ~ spl375_28 ),
inference(avatar_component_clause,[],[f78097]) ).
fof(f78100,plain,
( spl375_28
| ~ spl375_9 ),
inference(avatar_split_clause,[],[f75613,f75604,f78097]) ).
fof(f78101,plain,
( ! [X0] : k9_relat_1(k5_relset_2(sK5,sK9),X0) = k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),X0)
| ~ spl375_28 ),
inference(resolution,[],[f78099,f72389]) ).
fof(f78393,definition,
( spl375_29
<=> r1_tarski(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl375_29])],[avatar_definition]) ).
fof(f78395,plain,
( ~ r1_tarski(sK7,sK8)
| spl375_29 ),
inference(avatar_component_clause,[],[f78393]) ).
fof(f78396,plain,
( ~ spl375_29
| spl375_5 ),
inference(avatar_split_clause,[],[f75066,f75055,f78393]) ).
fof(f78897,definition,
( spl375_34
<=> ! [X0] :
( np__0 != k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl375_34])],[avatar_definition]) ).
fof(f78898,plain,
( ! [X0] :
( np__0 != k4_relset_2(k1_zfmisc_1(sK5),sK6,k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) )
| ~ spl375_34 ),
inference(avatar_component_clause,[],[f78897]) ).
fof(f78899,plain,
( spl375_34
| ~ spl375_1
| ~ spl375_18 ),
inference(avatar_split_clause,[],[f77870,f77858,f74744,f78897]) ).
fof(f78900,plain,
( ! [X0] :
( np__0 != k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) )
| ~ spl375_28
| ~ spl375_34 ),
inference(forward_demodulation,[],[f78898,f78101]) ).
fof(f78902,definition,
( spl375_35
<=> ! [X0] :
( np__0 != k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) ) ),
introduced(definition,[new_symbols(definition,[spl375_35])],[avatar_definition]) ).
fof(f78903,plain,
( ! [X0] :
( np__0 != k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(X0,k6_partfun1(X0)))
| np__0 = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(sK5)) )
| ~ spl375_35 ),
inference(avatar_component_clause,[],[f78902]) ).
fof(f78904,plain,
( spl375_35
| ~ spl375_28
| ~ spl375_34 ),
inference(avatar_split_clause,[],[f78900,f78897,f78097,f78902]) ).
fof(f79592,definition,
( spl375_48
<=> np__0 = k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7))) ),
introduced(definition,[new_symbols(definition,[spl375_48])],[avatar_definition]) ).
fof(f79594,plain,
( np__0 = k9_relat_1(k5_relset_2(sK5,sK9),k8_eqrel_1(sK7,k6_partfun1(sK7)))
| ~ spl375_48 ),
inference(avatar_component_clause,[],[f79592]) ).
fof(f79595,plain,
( spl375_48
| ~ spl375_9
| ~ spl375_10 ),
inference(avatar_split_clause,[],[f76624,f76613,f75604,f79592]) ).
fof(f82102,plain,
( np__0 != np__0
| np__0 = sK7
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK5))
| ~ spl375_35
| ~ spl375_48 ),
inference(superposition,[],[f78903,f79594]) ).
fof(f82189,plain,
( np__0 = sK7
| ~ m1_subset_1(sK7,k1_zfmisc_1(sK5))
| ~ spl375_35
| ~ spl375_48 ),
inference(trivial_inequality_removal,[],[f82102]) ).
fof(f82245,plain,
( np__0 = sK7
| ~ spl375_8
| ~ spl375_35
| ~ spl375_48 ),
inference(forward_subsumption_resolution,[],[f82189,f75380]) ).
fof(f82450,definition,
( spl375_68
<=> np__0 = sK7 ),
introduced(definition,[new_symbols(definition,[spl375_68])],[avatar_definition]) ).
fof(f82452,plain,
( np__0 = sK7
| ~ spl375_68 ),
inference(avatar_component_clause,[],[f82450]) ).
fof(f82453,plain,
( spl375_68
| ~ spl375_8
| ~ spl375_35
| ~ spl375_48 ),
inference(avatar_split_clause,[],[f82245,f79592,f78902,f75378,f82450]) ).
fof(f82462,plain,
( ~ r1_tarski(np__0,sK8)
| spl375_29
| ~ spl375_68 ),
inference(superposition,[],[f78395,f82452]) ).
fof(f82475,plain,
( $false
| spl375_29
| ~ spl375_68 ),
inference(forward_subsumption_resolution,[],[f82462,f74016]) ).
fof(f82476,plain,
( spl375_29
| ~ spl375_68 ),
inference(avatar_contradiction_clause,[],[f82475]) ).
cnf(s1,plain,
spl375_1,
inference(sat_conversion,[],[f74747]) ).
cnf(s4,plain,
~ spl375_4,
inference(sat_conversion,[],[f75038]) ).
cnf(s5,plain,
( spl375_4
| ~ spl375_5 ),
inference(sat_conversion,[],[f75058]) ).
cnf(s6,plain,
spl375_6,
inference(sat_conversion,[],[f75071]) ).
cnf(s8,plain,
spl375_8,
inference(sat_conversion,[],[f75381]) ).
cnf(s9,plain,
( ~ spl375_1
| spl375_9 ),
inference(sat_conversion,[],[f75607]) ).
cnf(s10,plain,
( ~ spl375_1
| ~ spl375_6
| spl375_10 ),
inference(sat_conversion,[],[f76616]) ).
cnf(s18,plain,
( ~ spl375_1
| spl375_18 ),
inference(sat_conversion,[],[f77861]) ).
cnf(s27,plain,
( ~ spl375_9
| spl375_28 ),
inference(sat_conversion,[],[f78100]) ).
cnf(s28,plain,
( spl375_5
| ~ spl375_29 ),
inference(sat_conversion,[],[f78396]) ).
cnf(s33,plain,
( ~ spl375_1
| ~ spl375_18
| spl375_34 ),
inference(sat_conversion,[],[f78899]) ).
cnf(s34,plain,
( ~ spl375_28
| ~ spl375_34
| spl375_35 ),
inference(sat_conversion,[],[f78904]) ).
cnf(s46,plain,
( ~ spl375_9
| ~ spl375_10
| spl375_48 ),
inference(sat_conversion,[],[f79595]) ).
cnf(s66,plain,
( ~ spl375_8
| ~ spl375_35
| ~ spl375_48
| spl375_68 ),
inference(sat_conversion,[],[f82453]) ).
cnf(s68,plain,
( spl375_29
| ~ spl375_68 ),
inference(sat_conversion,[],[f82476]) ).
cnf(s88,plain,
~ spl375_5,
inference(rat,[],[s5,s4]) ).
cnf(s90,plain,
~ spl375_29,
inference(rat,[],[s28,s88]) ).
cnf(s91,plain,
~ spl375_68,
inference(rat,[],[s68,s90]) ).
cnf(s103,plain,
spl375_18,
inference(rat,[],[s18,s1]) ).
cnf(s108,plain,
spl375_10,
inference(rat,[],[s10,s6,s1]) ).
cnf(s109,plain,
spl375_9,
inference(rat,[],[s9,s1]) ).
cnf(s112,plain,
spl375_34,
inference(rat,[],[s33,s1,s103]) ).
cnf(s115,plain,
spl375_48,
inference(rat,[],[s46,s108,s109]) ).
cnf(s118,plain,
spl375_28,
inference(rat,[],[s27,s109]) ).
cnf(s121,plain,
~ spl375_35,
inference(rat,[],[s66,s91,s8,s115]) ).
cnf(s124,plain,
$false,
inference(rat,[],[s34,s112,s121,s118]) ).
fof(f82480,plain,
$false,
inference(avatar_sat_refutation,[],[s124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU427+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 05:22:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 Running first-order theorem proving
% 0.11/0.39 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
% 16.23/5.43 % (3639770)Detected formulas, will run a generic FOF schedule.
% 16.23/5.43 % (3639777)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=2542099022:i=141695:sd=1:nm=32:gsp=on:ss=included_2973 on theBenchmark for (2973ds/141695Mi)
% 16.23/5.43 % (3639776)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=3225602841:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2973 on theBenchmark for (2973ds/134677Mi)
% 16.23/5.43 % (3639778)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=708222869:i=109:sd=1:ins=1:gsp=on:ss=axioms_2973 on theBenchmark for (2973ds/109Mi)
% 16.23/5.43 % (3639775)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=1060508677:i=141193_2973 on theBenchmark for (2973ds/141193Mi)
% 16.23/5.43 % (3639781)dis-21_1_sil=8000:lcm=predicate:random_seed=2369546240:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2973 on theBenchmark for (2973ds/129Mi)
% 16.23/5.43 % (3639779)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1100512009:i=119:av=off:ss=axioms_2973 on theBenchmark for (2973ds/119Mi)
% 16.23/5.43 % (3639780)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1145368580:s2a=on:i=139:gtg=position_2973 on theBenchmark for (2973ds/139Mi)
% 16.23/5.43 % (3639780)Instruction limit reached!
% 16.23/5.43 % (3639780)------------------------------
% 16.23/5.43 % (3639780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.23/5.43 % (3639780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/5.43 % (3639780)CaDiCaL version: 2.1.3
% 16.23/5.43 % (3639780)Termination reason: Instruction limit
% 16.23/5.43 % (3639780)Termination phase: Property scanning
% 16.23/5.43 % (3639780)Time elapsed: 0.067 s
% 16.23/5.43 % (3639780)Peak memory usage: 201 MB
% 16.23/5.43 % (3639780)Instructions burned: 140 (million)
% 16.23/5.43 % (3639778)Instruction limit reached!
% 16.23/5.43 % (3639778)------------------------------
% 16.23/5.43 % (3639778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.23/5.43 % (3639778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/5.43 % (3639778)CaDiCaL version: 2.1.3
% 16.23/5.43 % (3639778)Termination reason: Instruction limit
% 16.23/5.43 % (3639778)Termination phase: SInE selection
% 16.23/5.43 % (3639778)Time elapsed: 0.083 s
% 16.23/5.43 % (3639778)Peak memory usage: 201 MB
% 16.23/5.43 % (3639778)Instructions burned: 110 (million)
% 16.23/5.43 % (3639779)Instruction limit reached!
% 16.23/5.43 % (3639779)------------------------------
% 16.23/5.43 % (3639779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.23/5.43 % (3639779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/5.43 % (3639779)CaDiCaL version: 2.1.3
% 16.23/5.43 % (3639779)Termination reason: Instruction limit
% 16.23/5.43 % (3639779)Termination phase: SInE selection
% 16.23/5.43 % (3639779)Time elapsed: 0.084 s
% 16.23/5.43 % (3639779)Peak memory usage: 201 MB
% 16.23/5.43 % (3639779)Instructions burned: 119 (million)
% 16.23/5.43 % (3639781)Instruction limit reached!
% 16.23/5.43 % (3639781)------------------------------
% 16.23/5.43 % (3639781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.23/5.43 % (3639781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/5.43 % (3639781)CaDiCaL version: 2.1.3
% 16.23/5.43 % (3639781)Termination reason: Instruction limit
% 16.23/5.43 % (3639781)Termination phase: SInE selection
% 16.23/5.43 % (3639781)Time elapsed: 0.088 s
% 16.23/5.43 % (3639781)Peak memory usage: 201 MB
% 16.23/5.43 % (3639781)Instructions burned: 129 (million)
% 16.23/5.43 % (3639789)lrs+10_1_sil=8000:sp=occurrence:random_seed=3316224378:i=285:sd=3:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/285Mi)
% 16.23/5.43 % (3639790)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2206965364:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/157Mi)
% 16.23/5.43 % (3639792)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=2217457687:s2a=on:i=248:s2at=1.23:gtg=position_2970 on theBenchmark for (2970ds/248Mi)
% 16.23/5.43 % (3639791)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1458148478:i=325:sd=1:ss=axioms:sgt=32_2970 on theBenchmark for (2970ds/325Mi)
% 16.23/5.43 % (3639790)Instruction limit reached!
% 22.54/6.38 % (3639790)------------------------------
% 22.54/6.38 % (3639790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639790)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639790)Termination reason: Instruction limit
% 22.54/6.38 % (3639790)Termination phase: Property scanning
% 22.54/6.38 % (3639790)Time elapsed: 0.076 s
% 22.54/6.38 % (3639790)Peak memory usage: 201 MB
% 22.54/6.38 % (3639790)Instructions burned: 159 (million)
% 22.54/6.38 % (3639792)Instruction limit reached!
% 22.54/6.38 % (3639792)------------------------------
% 22.54/6.38 % (3639792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639792)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639792)Termination reason: Instruction limit
% 22.54/6.38 % (3639792)Termination phase: Property scanning
% 22.54/6.38 % (3639792)Time elapsed: 0.111 s
% 22.54/6.38 % (3639792)Peak memory usage: 201 MB
% 22.54/6.38 % (3639792)Instructions burned: 249 (million)
% 22.54/6.38 % (3639789)Instruction limit reached!
% 22.54/6.38 % (3639789)------------------------------
% 22.54/6.38 % (3639789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639789)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639789)Termination reason: Instruction limit
% 22.54/6.38 % (3639789)Termination phase: SInE selection
% 22.54/6.38 % (3639789)Time elapsed: 0.205 s
% 22.54/6.38 % (3639789)Peak memory usage: 201 MB
% 22.54/6.38 % (3639789)Instructions burned: 286 (million)
% 22.54/6.38 % (3639797)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2391071272:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2968 on theBenchmark for (2968ds/294Mi)
% 22.54/6.38 % (3639791)Instruction limit reached!
% 22.54/6.38 % (3639791)------------------------------
% 22.54/6.38 % (3639791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639791)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639791)Termination reason: Instruction limit
% 22.54/6.38 % (3639791)Termination phase: SInE selection
% 22.54/6.38 % (3639791)Time elapsed: 0.249 s
% 22.54/6.38 % (3639791)Peak memory usage: 201 MB
% 22.54/6.38 % (3639791)Instructions burned: 326 (million)
% 22.54/6.38 % (3639798)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=874424129:i=2350_2967 on theBenchmark for (2967ds/2350Mi)
% 22.54/6.38 % (3639797)Instruction limit reached!
% 22.54/6.38 % (3639797)------------------------------
% 22.54/6.38 % (3639797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639797)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639797)Termination reason: Instruction limit
% 22.54/6.38 % (3639797)Termination phase: SInE selection
% 22.54/6.38 % (3639797)Time elapsed: 0.126 s
% 22.54/6.38 % (3639797)Peak memory usage: 201 MB
% 22.54/6.38 % (3639797)Instructions burned: 295 (million)
% 22.54/6.38 % (3639799)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3184348424:cts=off:i=113:fsr=off:ss=included:sgt=4_2967 on theBenchmark for (2967ds/113Mi)
% 22.54/6.38 % (3639801)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=968893979:i=127:av=off:fsr=off:sup=off_2966 on theBenchmark for (2966ds/127Mi)
% 22.54/6.38 % (3639799)Instruction limit reached!
% 22.54/6.38 % (3639799)------------------------------
% 22.54/6.38 % (3639799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.54/6.38 % (3639799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.54/6.38 % (3639799)CaDiCaL version: 2.1.3
% 22.54/6.38 % (3639799)Termination reason: Instruction limit
% 22.54/6.38 % (3639799)Termination phase: SInE selection
% 22.54/6.38 % (3639799)Time elapsed: 0.092 s
% 22.54/6.38 % (3639799)Peak memory usage: 201 MB
% 22.54/6.38 % (3639799)Instructions burned: 113 (million)
% 22.54/6.38 % (3639803)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=398817675:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2965 on theBenchmark for (2965ds/114Mi)
% 22.54/6.38 % (3639803)Instruction limit reached!
% 22.54/6.38 % (3639803)------------------------------
% 22.54/6.38 % (3639803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639803)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639803)Termination reason: Instruction limit
% 15.23/7.33 % (3639803)Termination phase: Property scanning
% 15.23/7.33 % (3639803)Time elapsed: 0.032 s
% 15.23/7.33 % (3639803)Peak memory usage: 201 MB
% 15.23/7.33 % (3639803)Instructions burned: 115 (million)
% 15.23/7.33 % (3639801)Instruction limit reached!
% 15.23/7.33 % (3639801)------------------------------
% 15.23/7.33 % (3639801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639801)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639801)Termination reason: Instruction limit
% 15.23/7.33 % (3639801)Termination phase: Preprocessing 1
% 15.23/7.33 % (3639801)Time elapsed: 0.101 s
% 15.23/7.33 % (3639801)Peak memory usage: 202 MB
% 15.23/7.33 % (3639801)Instructions burned: 128 (million)
% 15.23/7.33 % (3639808)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=562990490:i=437:sd=1:aac=none:ss=included_2964 on theBenchmark for (2964ds/437Mi)
% 15.23/7.33 % (3639807)lrs+10_1_sil=8000:sp=occurrence:random_seed=1747223277:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 15.23/7.33 % (3639809)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=159541224:i=5202:ss=axioms:sgt=16_2963 on theBenchmark for (2963ds/5202Mi)
% 15.23/7.33 % (3639808)Instruction limit reached!
% 15.23/7.33 % (3639808)------------------------------
% 15.23/7.33 % (3639808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639808)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639808)Termination reason: Instruction limit
% 15.23/7.33 % (3639808)Termination phase: SInE selection
% 15.23/7.33 % (3639808)Time elapsed: 0.183 s
% 15.23/7.33 % (3639808)Peak memory usage: 202 MB
% 15.23/7.33 % (3639808)Instructions burned: 439 (million)
% 15.23/7.33 % (3639813)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3936597063:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2961 on theBenchmark for (2961ds/134Mi)
% 15.23/7.33 % (3639813)Instruction limit reached!
% 15.23/7.33 % (3639813)------------------------------
% 15.23/7.33 % (3639813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639813)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639813)Termination reason: Instruction limit
% 15.23/7.33 % (3639813)Termination phase: SInE selection
% 15.23/7.33 % (3639813)Time elapsed: 0.058 s
% 15.23/7.33 % (3639813)Peak memory usage: 201 MB
% 15.23/7.33 % (3639813)Instructions burned: 134 (million)
% 15.23/7.33 % (3639815)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1692245025:st=8:i=592:sd=3:ep=RST:ss=axioms_2959 on theBenchmark for (2959ds/592Mi)
% 15.23/7.33 % (3639807)Instruction limit reached!
% 15.23/7.33 % (3639807)------------------------------
% 15.23/7.33 % (3639807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639807)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639807)Termination reason: Instruction limit
% 15.23/7.33 % (3639807)Termination phase: Preprocessing 1
% 15.23/7.33 % (3639807)Time elapsed: 0.686 s
% 15.23/7.33 % (3639807)Peak memory usage: 204 MB
% 15.23/7.33 % (3639807)Instructions burned: 907 (million)
% 15.23/7.33 % (3639815)Instruction limit reached!
% 15.23/7.33 % (3639815)------------------------------
% 15.23/7.33 % (3639815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639815)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639815)Termination reason: Instruction limit
% 15.23/7.33 % (3639815)Termination phase: SInE selection
% 15.23/7.33 % (3639815)Time elapsed: 0.218 s
% 15.23/7.33 % (3639815)Peak memory usage: 203 MB
% 15.23/7.33 % (3639815)Instructions burned: 594 (million)
% 15.23/7.33 % (3639817)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2019211019:st=3:i=13193:sd=3:ss=axioms_2955 on theBenchmark for (2955ds/13193Mi)
% 15.23/7.33 % (3639818)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=522054626:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2955 on theBenchmark for (2955ds/125Mi)
% 15.23/7.33 % (3639818)Instruction limit reached!
% 15.23/7.33 % (3639818)------------------------------
% 15.23/7.33 % (3639818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639818)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639818)Termination reason: Instruction limit
% 15.23/7.33 % (3639818)Termination phase: Property scanning
% 15.23/7.33 % (3639818)Time elapsed: 0.034 s
% 15.23/7.33 % (3639818)Peak memory usage: 201 MB
% 15.23/7.33 % (3639818)Instructions burned: 127 (million)
% 15.23/7.33 % (3639821)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2205896053:i=134:gtgl=5:slsql=off:gtg=exists_sym_2953 on theBenchmark for (2953ds/134Mi)
% 15.23/7.33 % (3639821)Instruction limit reached!
% 15.23/7.33 % (3639821)------------------------------
% 15.23/7.33 % (3639821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639821)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639821)Termination reason: Instruction limit
% 15.23/7.33 % (3639821)Termination phase: Property scanning
% 15.23/7.33 % (3639821)Time elapsed: 0.035 s
% 15.23/7.33 % (3639821)Peak memory usage: 201 MB
% 15.23/7.33 % (3639821)Instructions burned: 137 (million)
% 15.23/7.33 % (3639823)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4210625591:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2951 on theBenchmark for (2951ds/141Mi)
% 15.23/7.33 % (3639823)Instruction limit reached!
% 15.23/7.33 % (3639823)------------------------------
% 15.23/7.33 % (3639823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639823)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639823)Termination reason: Instruction limit
% 15.23/7.33 % (3639823)Termination phase: SInE selection
% 15.23/7.33 % (3639823)Time elapsed: 0.063 s
% 15.23/7.33 % (3639823)Peak memory usage: 201 MB
% 15.23/7.33 % (3639823)Instructions burned: 143 (million)
% 15.23/7.33 % (3639825)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3422254986:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2949 on theBenchmark for (2949ds/431Mi)
% 15.23/7.33 % (3639798)Instruction limit reached!
% 15.23/7.33 % (3639798)------------------------------
% 15.23/7.33 % (3639798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639798)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639798)Termination reason: Instruction limit
% 15.23/7.33 % (3639798)Termination phase: Preprocessing 3
% 15.23/7.33 % (3639798)Time elapsed: 1.842 s
% 15.23/7.33 % (3639798)Peak memory usage: 305 MB
% 15.23/7.33 % (3639798)Instructions burned: 2350 (million)
% 15.23/7.33 % (3639825)Instruction limit reached!
% 15.23/7.33 % (3639825)------------------------------
% 15.23/7.33 % (3639825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639825)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639825)Termination reason: Instruction limit
% 15.23/7.33 % (3639825)Termination phase: SInE selection
% 15.23/7.33 % (3639825)Time elapsed: 0.181 s
% 15.23/7.33 % (3639825)Peak memory usage: 202 MB
% 15.23/7.33 % (3639825)Instructions burned: 433 (million)
% 15.23/7.33 % (3639827)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=1694362537:i=6060:aac=none:ins=25_2947 on theBenchmark for (2947ds/6060Mi)
% 15.23/7.33 % (3639828)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=3335272932:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2946 on theBenchmark for (2946ds/150Mi)
% 15.23/7.33 % (3639828)Instruction limit reached!
% 15.23/7.33 % (3639828)------------------------------
% 15.23/7.33 % (3639828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.23/7.33 % (3639828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.23/7.33 % (3639828)CaDiCaL version: 2.1.3
% 15.23/7.33 % (3639828)Termination reason: Instruction limit
% 15.23/7.33 % (3639828)Termination phase: SInE selection
% 15.23/7.33 % (3639828)Time elapsed: 0.066 s
% 15.23/7.33 % (3639828)Peak memory usage: 201 MB
% 15.23/7.33 % (3639828)Instructions burned: 151 (million)
% 15.23/7.33 % (3639831)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3997077620:i=14155:bd=all_2944 on theBenchmark for (2944ds/14155Mi)
% 15.23/7.33 % (3639777)First to succeed.
% 15.23/7.33 % (3639777)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3639770"
% 15.23/7.33 % (3639777)Refutation found. Thanks to Tanya!
% 15.23/7.33 % SZS status Theorem for theBenchmark
% 15.23/7.33 % SZS output start Proof for theBenchmark
% See solution above
% 30.26/7.58 % (3639777)------------------------------
% 30.26/7.58 % (3639777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.26/7.58 % (3639777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.26/7.58 % (3639777)CaDiCaL version: 2.1.3
% 30.26/7.58 % (3639777)Termination reason: Refutation
% 30.26/7.58 % (3639777)Time elapsed: 3.304 s
% 30.26/7.58 % (3639777)Peak memory usage: 301 MB
% 30.26/7.58 % (3639777)Instructions burned: 5048 (million)
% 30.26/7.58 % (3639777)------------------------------
% 30.26/7.58 % (3639777)------------------------------
% 30.26/7.58 % (3639770)Success in time 6.5 s
% 30.26/7.58 % Vampire exiting
%------------------------------------------------------------------------------