%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU449+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:10 PM UTC 2026
% Result : Theorem 18.66s 4.65s
% Output : Refutation 22.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 14 unt; 7 def)
% Number of atoms : 228 ( 6 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 248 ( 107 ~; 102 |; 16 &)
% ( 11 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 92 ( 0 sgn 87 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f1392,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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1394,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1409,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f19064,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/sandbox2/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f19132,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f19134,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f19135,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
& r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f19134]) ).
fof(f19217,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,[],[f19064]) ).
fof(f19218,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,[],[f19217]) ).
fof(f19295,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f19132]) ).
fof(f19297,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4)) )
& m2_relset_1(X4,X0,X1) )
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f19135]) ).
fof(f19328,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,[],[f1392]) ).
fof(f19990,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1409]) ).
fof(f20016,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ( ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) )
| ~ m2_relset_1(X4,X0,X1) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f19295]) ).
fof(f20018,plain,
( ( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) )
& m2_relset_1(sK12,sK8,sK9)
& m1_subset_1(sK11,k1_zfmisc_1(sK9))
& m1_subset_1(sK10,k1_zfmisc_1(sK8)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12)],[f19297]) ).
fof(f20029,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f1394]) ).
fof(f20114,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f20115,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f20114]) ).
fof(f20288,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,[],[f19218]) ).
fof(f20387,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f20016]) ).
fof(f20388,plain,
! [X2,X3,X0,X1,X4] :
( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| ~ m2_relset_1(X4,X0,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f20016]) ).
fof(f20391,plain,
m1_subset_1(sK10,k1_zfmisc_1(sK8)),
inference(cnf_transformation,[],[f20018]) ).
fof(f20392,plain,
m1_subset_1(sK11,k1_zfmisc_1(sK9)),
inference(cnf_transformation,[],[f20018]) ).
fof(f20393,plain,
m2_relset_1(sK12,sK8,sK9),
inference(cnf_transformation,[],[f20018]) ).
fof(f20394,plain,
( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) ),
inference(cnf_transformation,[],[f20018]) ).
fof(f20449,plain,
! [X2,X0,X1] :
( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f20029]) ).
fof(f20455,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,[],[f19328]) ).
fof(f20876,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f20115]) ).
fof(f21481,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f19990]) ).
fof(f21658,plain,
! [X1] : r1_tarski(X1,X1),
inference(equality_resolution,[],[f20876]) ).
fof(f22012,definition,
( spl339_1
<=> m2_relset_1(sK12,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl339_1])],[avatar_definition]) ).
fof(f22014,plain,
( m2_relset_1(sK12,sK8,sK9)
| ~ spl339_1 ),
inference(avatar_component_clause,[],[f22012]) ).
fof(f22015,plain,
spl339_1,
inference(avatar_split_clause,[],[f20393,f22012]) ).
fof(f22047,plain,
( m1_relset_1(sK12,sK8,sK9)
| ~ spl339_1 ),
inference(resolution,[],[f22014,f20449]) ).
fof(f22048,plain,
( m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| ~ spl339_1 ),
inference(resolution,[],[f22014,f20455]) ).
fof(f22116,definition,
( spl339_2
<=> r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12)) ),
introduced(definition,[new_symbols(definition,[spl339_2])],[avatar_definition]) ).
fof(f22118,plain,
( ~ r1_tarski(sK11,k8_relset_2(sK8,sK9,k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),sK12))
| spl339_2 ),
inference(avatar_component_clause,[],[f22116]) ).
fof(f22120,definition,
( spl339_3
<=> r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12))) ),
introduced(definition,[new_symbols(definition,[spl339_3])],[avatar_definition]) ).
fof(f22122,plain,
( ~ r1_tarski(sK10,k8_relset_2(sK9,sK8,k8_relset_2(sK8,sK9,sK10,sK12),k6_relset_1(sK8,sK9,sK12)))
| spl339_3 ),
inference(avatar_component_clause,[],[f22120]) ).
fof(f22123,plain,
( ~ spl339_2
| ~ spl339_3 ),
inference(avatar_split_clause,[],[f20394,f22120,f22116]) ).
fof(f22124,plain,
( ~ r1_tarski(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)))
| ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl339_2 ),
inference(resolution,[],[f22118,f20387]) ).
fof(f22164,plain,
( ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl339_2 ),
inference(forward_subsumption_resolution,[],[f22124,f21658]) ).
fof(f22165,plain,
( ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| ~ spl339_1
| spl339_2 ),
inference(forward_subsumption_resolution,[],[f22164,f22014]) ).
fof(f22166,plain,
( ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| ~ spl339_1
| spl339_2 ),
inference(forward_subsumption_resolution,[],[f22165,f20392]) ).
fof(f22168,definition,
( spl339_4
<=> m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8)) ),
introduced(definition,[new_symbols(definition,[spl339_4])],[avatar_definition]) ).
fof(f22170,plain,
( ~ m1_subset_1(k8_relset_2(sK9,sK8,sK11,k6_relset_1(sK8,sK9,sK12)),k1_zfmisc_1(sK8))
| spl339_4 ),
inference(avatar_component_clause,[],[f22168]) ).
fof(f22171,plain,
( ~ spl339_4
| ~ spl339_1
| spl339_2 ),
inference(avatar_split_clause,[],[f22166,f22116,f22012,f22168]) ).
fof(f22172,plain,
( ~ m1_subset_1(sK11,k1_zfmisc_1(sK9))
| ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl339_4 ),
inference(resolution,[],[f22170,f20288]) ).
fof(f22183,plain,
( ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl339_4 ),
inference(forward_subsumption_resolution,[],[f22172,f20392]) ).
fof(f22208,definition,
( spl339_7
<=> m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8))) ),
introduced(definition,[new_symbols(definition,[spl339_7])],[avatar_definition]) ).
fof(f22210,plain,
( ~ m1_subset_1(k6_relset_1(sK8,sK9,sK12),k1_zfmisc_1(k2_zfmisc_1(sK9,sK8)))
| spl339_7 ),
inference(avatar_component_clause,[],[f22208]) ).
fof(f22211,plain,
( ~ spl339_7
| spl339_4 ),
inference(avatar_split_clause,[],[f22183,f22168,f22208]) ).
fof(f22212,plain,
( ~ m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8)
| spl339_7 ),
inference(resolution,[],[f22210,f20455]) ).
fof(f22292,plain,
( ~ r1_tarski(k8_relset_2(sK8,sK9,sK10,sK12),k8_relset_2(sK8,sK9,sK10,sK12))
| ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| spl339_3 ),
inference(resolution,[],[f22122,f20388]) ).
fof(f22333,plain,
( ~ m2_relset_1(sK12,sK8,sK9)
| ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| spl339_3 ),
inference(forward_subsumption_resolution,[],[f22292,f21658]) ).
fof(f22334,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ spl339_1
| spl339_3 ),
inference(forward_subsumption_resolution,[],[f22333,f22014]) ).
fof(f22335,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| ~ spl339_1
| spl339_3 ),
inference(forward_subsumption_resolution,[],[f22334,f20391]) ).
fof(f22337,definition,
( spl339_11
<=> m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9)) ),
introduced(definition,[new_symbols(definition,[spl339_11])],[avatar_definition]) ).
fof(f22339,plain,
( ~ m1_subset_1(k8_relset_2(sK8,sK9,sK10,sK12),k1_zfmisc_1(sK9))
| spl339_11 ),
inference(avatar_component_clause,[],[f22337]) ).
fof(f22340,plain,
( ~ spl339_11
| ~ spl339_1
| spl339_3 ),
inference(avatar_split_clause,[],[f22335,f22120,f22012,f22337]) ).
fof(f22341,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(sK8))
| ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl339_11 ),
inference(resolution,[],[f22339,f20288]) ).
fof(f22350,plain,
( ~ m1_subset_1(sK12,k1_zfmisc_1(k2_zfmisc_1(sK8,sK9)))
| spl339_11 ),
inference(forward_subsumption_resolution,[],[f22341,f20391]) ).
fof(f22351,plain,
( $false
| ~ spl339_1
| spl339_11 ),
inference(forward_subsumption_resolution,[],[f22350,f22048]) ).
fof(f22352,plain,
( ~ spl339_1
| spl339_11 ),
inference(avatar_contradiction_clause,[],[f22351]) ).
fof(f24487,definition,
( spl339_19
<=> m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8) ),
introduced(definition,[new_symbols(definition,[spl339_19])],[avatar_definition]) ).
fof(f24489,plain,
( ~ m2_relset_1(k6_relset_1(sK8,sK9,sK12),sK9,sK8)
| spl339_19 ),
inference(avatar_component_clause,[],[f24487]) ).
fof(f24490,plain,
( ~ spl339_19
| spl339_7 ),
inference(avatar_split_clause,[],[f22212,f22208,f24487]) ).
fof(f24499,plain,
( ~ m1_relset_1(sK12,sK8,sK9)
| spl339_19 ),
inference(resolution,[],[f24489,f21481]) ).
fof(f24519,plain,
( $false
| ~ spl339_1
| spl339_19 ),
inference(forward_subsumption_resolution,[],[f24499,f22047]) ).
fof(f24520,plain,
( ~ spl339_1
| spl339_19 ),
inference(avatar_contradiction_clause,[],[f24519]) ).
cnf(s1,plain,
spl339_1,
inference(sat_conversion,[],[f22015]) ).
cnf(s2,plain,
( ~ spl339_2
| ~ spl339_3 ),
inference(sat_conversion,[],[f22123]) ).
cnf(s3,plain,
( ~ spl339_1
| spl339_2
| ~ spl339_4 ),
inference(sat_conversion,[],[f22171]) ).
cnf(s6,plain,
( spl339_4
| ~ spl339_7 ),
inference(sat_conversion,[],[f22211]) ).
cnf(s10,plain,
( ~ spl339_1
| spl339_3
| ~ spl339_11 ),
inference(sat_conversion,[],[f22340]) ).
cnf(s11,plain,
( ~ spl339_1
| spl339_11 ),
inference(sat_conversion,[],[f22352]) ).
cnf(s19,plain,
( spl339_7
| ~ spl339_19 ),
inference(sat_conversion,[],[f24490]) ).
cnf(s22,plain,
( ~ spl339_1
| spl339_19 ),
inference(sat_conversion,[],[f24520]) ).
cnf(s23,plain,
spl339_19,
inference(rat,[],[s22,s1]) ).
cnf(s25,plain,
spl339_11,
inference(rat,[],[s11,s1]) ).
cnf(s26,plain,
spl339_3,
inference(rat,[],[s10,s25,s1]) ).
cnf(s27,plain,
spl339_7,
inference(rat,[],[s19,s23]) ).
cnf(s32,plain,
~ spl339_2,
inference(rat,[],[s2,s26]) ).
cnf(s33,plain,
spl339_4,
inference(rat,[],[s6,s27]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s3,s1,s33,s32]) ).
fof(f24521,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU449+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.41 % Computer : n016.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 28 05:41:20 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.40/4.43 % (3322470)Detected formulas, will run a generic FOF schedule.
% 20.40/4.43 % (3322476)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=2148786608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 20.40/4.43 % (3322479)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2623991805:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 20.40/4.43 % (3322477)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=553376024:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 20.40/4.43 % (3322478)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3564561199:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 20.40/4.43 % (3322475)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=1399119055:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 20.40/4.43 % (3322480)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3331724481:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 20.40/4.43 % (3322481)dis-21_1_sil=8000:lcm=predicate:random_seed=3728344036:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 20.40/4.43 % (3322478)Instruction limit reached!
% 20.40/4.43 % (3322478)------------------------------
% 20.40/4.43 % (3322478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/4.43 % (3322478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/4.43 % (3322478)CaDiCaL version: 2.1.3
% 20.40/4.43 % (3322478)Termination reason: Instruction limit
% 20.40/4.43 % (3322478)Termination phase: SInE selection
% 20.40/4.43 % (3322478)Time elapsed: 0.120 s
% 20.40/4.43 % (3322478)Peak memory usage: 112 MB
% 20.40/4.43 % (3322478)Instructions burned: 109 (million)
% 20.40/4.43 % (3322479)Instruction limit reached!
% 20.40/4.43 % (3322479)------------------------------
% 20.40/4.43 % (3322479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/4.43 % (3322479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/4.43 % (3322479)CaDiCaL version: 2.1.3
% 20.40/4.43 % (3322479)Termination reason: Instruction limit
% 20.40/4.43 % (3322479)Termination phase: Preprocessing 1
% 20.40/4.43 % (3322479)Time elapsed: 0.143 s
% 20.40/4.43 % (3322479)Peak memory usage: 113 MB
% 20.40/4.43 % (3322479)Instructions burned: 119 (million)
% 20.40/4.43 % (3322480)Instruction limit reached!
% 20.40/4.43 % (3322480)------------------------------
% 20.40/4.43 % (3322480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/4.43 % (3322480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/4.43 % (3322480)CaDiCaL version: 2.1.3
% 20.40/4.43 % (3322480)Termination reason: Instruction limit
% 20.40/4.43 % (3322480)Termination phase: Property scanning
% 20.40/4.43 % (3322480)Time elapsed: 0.117 s
% 20.40/4.43 % (3322480)Peak memory usage: 112 MB
% 20.40/4.43 % (3322480)Instructions burned: 141 (million)
% 20.40/4.43 % (3322481)Instruction limit reached!
% 20.40/4.43 % (3322481)------------------------------
% 20.40/4.43 % (3322481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.40/4.43 % (3322481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.40/4.43 % (3322481)CaDiCaL version: 2.1.3
% 20.40/4.43 % (3322481)Termination reason: Instruction limit
% 20.40/4.43 % (3322481)Termination phase: SInE selection
% 20.40/4.43 % (3322481)Time elapsed: 0.129 s
% 20.40/4.43 % (3322481)Peak memory usage: 113 MB
% 20.40/4.43 % (3322481)Instructions burned: 130 (million)
% 20.40/4.43 % (3322489)lrs+10_1_sil=8000:sp=occurrence:random_seed=1455817961:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 20.40/4.43 % (3322490)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3593989102:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 20.40/4.43 % (3322491)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1836638778:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 20.40/4.43 % (3322492)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=239362912:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 20.40/4.43 % (3322490)Instruction limit reached!
% 18.66/4.65 % (3322490)------------------------------
% 18.66/4.65 % (3322490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322490)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322490)Termination reason: Instruction limit
% 18.66/4.65 % (3322490)Termination phase: Property scanning
% 18.66/4.65 % (3322490)Time elapsed: 0.133 s
% 18.66/4.65 % (3322490)Peak memory usage: 112 MB
% 18.66/4.65 % (3322490)Instructions burned: 157 (million)
% 18.66/4.65 % (3322492)Instruction limit reached!
% 18.66/4.65 % (3322492)------------------------------
% 18.66/4.65 % (3322492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322492)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322492)Termination reason: Instruction limit
% 18.66/4.65 % (3322492)Termination phase: Property scanning
% 18.66/4.65 % (3322492)Time elapsed: 0.206 s
% 18.66/4.65 % (3322492)Peak memory usage: 112 MB
% 18.66/4.65 % (3322492)Instructions burned: 248 (million)
% 18.66/4.65 % (3322489)Instruction limit reached!
% 18.66/4.65 % (3322489)------------------------------
% 18.66/4.65 % (3322489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322489)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322489)Termination reason: Instruction limit
% 18.66/4.65 % (3322489)Termination phase: Saturation
% 18.66/4.65 % (3322489)Time elapsed: 0.321 s
% 18.66/4.65 % (3322489)Peak memory usage: 119 MB
% 18.66/4.65 % (3322489)Instructions burned: 285 (million)
% 18.66/4.65 % (3322497)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4205784488:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 18.66/4.65 % (3322491)Instruction limit reached!
% 18.66/4.65 % (3322491)------------------------------
% 18.66/4.65 % (3322491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322491)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322491)Termination reason: Instruction limit
% 18.66/4.65 % (3322491)Termination phase: Saturation
% 18.66/4.65 % (3322491)Time elapsed: 0.386 s
% 18.66/4.65 % (3322491)Peak memory usage: 119 MB
% 18.66/4.65 % (3322491)Instructions burned: 325 (million)
% 18.66/4.65 % (3322498)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2762659357:i=2350_2983 on theBenchmark for (2983ds/2350Mi)
% 18.66/4.65 % (3322499)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2983857637:cts=off:i=113:fsr=off:ss=included:sgt=4_2983 on theBenchmark for (2983ds/113Mi)
% 18.66/4.65 % (3322499)Instruction limit reached!
% 18.66/4.65 % (3322499)------------------------------
% 18.66/4.65 % (3322499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322499)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322499)Termination reason: Instruction limit
% 18.66/4.65 % (3322499)Termination phase: SInE selection
% 18.66/4.65 % (3322499)Time elapsed: 0.128 s
% 18.66/4.65 % (3322499)Peak memory usage: 112 MB
% 18.66/4.65 % (3322499)Instructions burned: 113 (million)
% 18.66/4.65 % (3322497)Instruction limit reached!
% 18.66/4.65 % (3322497)------------------------------
% 18.66/4.65 % (3322497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322497)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322497)Termination reason: Instruction limit
% 18.66/4.65 % (3322497)Termination phase: Saturation
% 18.66/4.65 % (3322497)Time elapsed: 0.323 s
% 18.66/4.65 % (3322497)Peak memory usage: 119 MB
% 18.66/4.65 % (3322497)Instructions burned: 294 (million)
% 18.66/4.65 % (3322501)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1193139633:i=127:av=off:fsr=off:sup=off_2981 on theBenchmark for (2981ds/127Mi)
% 18.66/4.65 % (3322501)Instruction limit reached!
% 18.66/4.65 % (3322501)------------------------------
% 18.66/4.65 % (3322501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322501)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322501)Termination reason: Instruction limit
% 18.66/4.65 % (3322501)Termination phase: Preprocessing 1
% 18.66/4.65 % (3322501)Time elapsed: 0.147 s
% 18.66/4.65 % (3322501)Peak memory usage: 113 MB
% 18.66/4.65 % (3322501)Instructions burned: 127 (million)
% 18.66/4.65 % (3322504)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3574679663:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 18.66/4.65 % (3322505)lrs+10_1_sil=8000:sp=occurrence:random_seed=3480513172:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 18.66/4.65 % (3322504)Instruction limit reached!
% 18.66/4.65 % (3322504)------------------------------
% 18.66/4.65 % (3322504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322504)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322504)Termination reason: Instruction limit
% 18.66/4.65 % (3322504)Termination phase: Property scanning
% 18.66/4.65 % (3322504)Time elapsed: 0.098 s
% 18.66/4.65 % (3322504)Peak memory usage: 112 MB
% 18.66/4.65 % (3322504)Instructions burned: 115 (million)
% 18.66/4.65 % (3322507)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3682761962:i=437:sd=1:aac=none:ss=included_2977 on theBenchmark for (2977ds/437Mi)
% 18.66/4.65 % (3322510)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3723287683:i=5202:ss=axioms:sgt=16_2975 on theBenchmark for (2975ds/5202Mi)
% 18.66/4.65 % (3322507)Instruction limit reached!
% 18.66/4.65 % (3322507)------------------------------
% 18.66/4.65 % (3322507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322507)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322507)Termination reason: Instruction limit
% 18.66/4.65 % (3322507)Termination phase: Saturation
% 18.66/4.65 % (3322507)Time elapsed: 0.466 s
% 18.66/4.65 % (3322507)Peak memory usage: 121 MB
% 18.66/4.65 % (3322507)Instructions burned: 438 (million)
% 18.66/4.65 % (3322498)Instruction limit reached!
% 18.66/4.65 % (3322498)------------------------------
% 18.66/4.65 % (3322498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322498)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322498)Termination reason: Instruction limit
% 18.66/4.65 % (3322498)Termination phase: Property scanning
% 18.66/4.65 % (3322498)Time elapsed: 1.223 s
% 18.66/4.65 % (3322498)Peak memory usage: 172 MB
% 18.66/4.65 % (3322498)Instructions burned: 2350 (million)
% 18.66/4.65 % (3322505)Instruction limit reached!
% 18.66/4.65 % (3322505)------------------------------
% 18.66/4.65 % (3322505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322505)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322505)Termination reason: Instruction limit
% 18.66/4.65 % (3322505)Termination phase: Saturation
% 18.66/4.65 % (3322505)Time elapsed: 0.853 s
% 18.66/4.65 % (3322505)Peak memory usage: 130 MB
% 18.66/4.65 % (3322505)Instructions burned: 908 (million)
% 18.66/4.65 % (3322513)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1448020245:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2969 on theBenchmark for (2969ds/134Mi)
% 18.66/4.65 % (3322477)First to succeed.
% 18.66/4.65 % (3322477)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3322470"
% 18.66/4.65 % (3322513)Instruction limit reached!
% 18.66/4.65 % (3322513)------------------------------
% 18.66/4.65 % (3322513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322513)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322513)Termination reason: Instruction limit
% 18.66/4.65 % (3322513)Termination phase: NewCNF
% 18.66/4.65 % (3322513)Time elapsed: 0.084 s
% 18.66/4.65 % (3322513)Peak memory usage: 115 MB
% 18.66/4.65 % (3322513)Instructions burned: 136 (million)
% 18.66/4.65 % (3322514)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4110548932:st=8:i=592:sd=3:ep=RST:ss=axioms_2968 on theBenchmark for (2968ds/592Mi)
% 18.66/4.65 % (3322515)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1427691562:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 18.66/4.65 % (3322517)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=1392436613:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/125Mi)
% 18.66/4.65 % (3322517)Instruction limit reached!
% 18.66/4.65 % (3322517)------------------------------
% 18.66/4.65 % (3322517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/4.65 % (3322517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/4.65 % (3322517)CaDiCaL version: 2.1.3
% 18.66/4.65 % (3322517)Termination reason: Instruction limit
% 18.66/4.65 % (3322517)Termination phase: Property scanning
% 18.66/4.65 % (3322517)Time elapsed: 0.054 s
% 18.66/4.65 % (3322517)Peak memory usage: 112 MB
% 18.66/4.65 % (3322517)Instructions burned: 125 (million)
% 18.66/4.65 % (3322477)Refutation found. Thanks to Tanya!
% 18.66/4.65 % SZS status Theorem for theBenchmark
% 18.66/4.65 % SZS output start Proof for theBenchmark
% See solution above
% 22.74/4.93 % (3322477)------------------------------
% 22.74/4.93 % (3322477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.74/4.93 % (3322477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.74/4.93 % (3322477)CaDiCaL version: 2.1.3
% 22.74/4.93 % (3322477)Termination reason: Refutation
% 22.74/4.93 % (3322477)Time elapsed: 2.347 s
% 22.74/4.93 % (3322477)Peak memory usage: 179 MB
% 22.74/4.93 % (3322477)Instructions burned: 2260 (million)
% 22.74/4.93 % (3322477)------------------------------
% 22.74/4.93 % (3322477)------------------------------
% 22.74/4.93 % (3322470)Success in time 3.774 s
% 22.74/4.93 % Vampire exiting
%------------------------------------------------------------------------------