%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB022+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:00:09 PM UTC 2026
% Result : Theorem 2.72s 1.84s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 31 unt; 3 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 345 ( 129 ~; 125 |; 81 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 147 ( 0 sgn 130 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f73,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f389,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f559,conjecture,
( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).
fof(f560,negated_conjecture,
~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
& iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X0)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,X1)
& iext(uri_rdf_first,X1,X0)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_rdf_first)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,X0,X3)
& iext(uri_rdf_first,X3,X0)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,uri_rdf_rest)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X5)
& iext(uri_rdf_first,X5,uri_ex_X)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X6,uri_ex_Y)
& iext(uri_rdf_rest,X6,X7)
& iext(uri_rdf_first,X7,uri_ex_Z)
& iext(uri_rdf_rest,X7,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).
fof(f563,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(ennf_transformation,[],[f560]) ).
fof(f568,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f571,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f389]) ).
fof(f572,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f571]) ).
fof(f587,plain,
( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK2)
& iext(uri_owl_propertyChainAxiom,uri_skos_member,sK3)
& iext(uri_rdf_first,sK3,sK2)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK4,uri_rdf_first)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,sK2,sK5)
& iext(uri_rdf_first,sK5,sK2)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK6,uri_rdf_rest)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
& iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK7)
& iext(uri_rdf_first,sK7,uri_ex_X)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK8,uri_ex_Y)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK9,uri_ex_Z)
& iext(uri_rdf_rest,sK9,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6),skolemize(X5,sK7),skolemize(X6,sK8),skolemize(X7,sK9)],[f561]) ).
fof(f599,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f572]) ).
fof(f600,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f599]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f600]) ).
fof(f602,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK16(X0,X2,X4),sK18(X0,X2,X4))
& iext(X2,sK16(X0,X2,X4),sK17(X0,X2,X4))
& iext(X4,sK17(X0,X2,X4),sK18(X0,X2,X4)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X5,sK16(X0,X2,X4)),skolemize(X6,sK17(X0,X2,X4)),skolemize(X7,sK18(X0,X2,X4))],[f601]) ).
fof(f622,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
| ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
inference(cnf_transformation,[],[f563]) ).
fof(f624,plain,
iext(uri_rdf_first,sK9,uri_ex_Z),
inference(cnf_transformation,[],[f587]) ).
fof(f625,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f587]) ).
fof(f626,plain,
iext(uri_rdf_first,sK8,uri_ex_Y),
inference(cnf_transformation,[],[f587]) ).
fof(f627,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(cnf_transformation,[],[f587]) ).
fof(f628,plain,
iext(uri_rdf_first,sK7,uri_ex_X),
inference(cnf_transformation,[],[f587]) ).
fof(f629,plain,
iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sK7),
inference(cnf_transformation,[],[f587]) ).
fof(f631,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f587]) ).
fof(f632,plain,
iext(uri_rdf_first,sK6,uri_rdf_rest),
inference(cnf_transformation,[],[f587]) ).
fof(f633,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f587]) ).
fof(f634,plain,
iext(uri_rdf_first,sK5,sK2),
inference(cnf_transformation,[],[f587]) ).
fof(f635,plain,
iext(uri_owl_propertyChainAxiom,sK2,sK5),
inference(cnf_transformation,[],[f587]) ).
fof(f636,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf_transformation,[],[f587]) ).
fof(f637,plain,
iext(uri_rdf_first,sK4,uri_rdf_first),
inference(cnf_transformation,[],[f587]) ).
fof(f638,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f587]) ).
fof(f639,plain,
iext(uri_rdf_first,sK3,sK2),
inference(cnf_transformation,[],[f587]) ).
fof(f640,plain,
iext(uri_owl_propertyChainAxiom,uri_skos_member,sK3),
inference(cnf_transformation,[],[f587]) ).
fof(f641,plain,
iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sK2),
inference(cnf_transformation,[],[f587]) ).
fof(f652,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X2,X3)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f568]) ).
fof(f668,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10)
| iext(X0,X8,X10)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f602]) ).
fof(f725,definition,
( spl26_1
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
introduced(definition,[new_symbols(definition,[spl26_1])],[avatar_definition]) ).
fof(f727,plain,
( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
| spl26_1 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f729,definition,
( spl26_2
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
introduced(definition,[new_symbols(definition,[spl26_2])],[avatar_definition]) ).
fof(f733,definition,
( spl26_3
<=> iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
introduced(definition,[new_symbols(definition,[spl26_3])],[avatar_definition]) ).
fof(f736,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(avatar_split_clause,[],[f622,f733,f729,f725]) ).
fof(f846,plain,
! [X0,X1] :
( ~ iext(uri_skos_memberList,X0,X1)
| iext(sK2,X0,X1) ),
inference(resolution,[],[f652,f641]) ).
fof(f1190,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK3,X5)
| ~ iext(X3,X2,X4)
| iext(uri_skos_member,X1,X4)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f668,f640]) ).
fof(f1191,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK5,X5)
| ~ iext(X3,X2,X4)
| iext(sK2,X1,X4)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f668,f635]) ).
fof(f1321,plain,
iext(sK2,uri_ex_MyOrderedCollection,sK7),
inference(resolution,[],[f846,f629]) ).
fof(f2809,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(uri_skos_member,X3,X2)
| ~ iext(uri_rdf_first,sK3,X4)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_rest,sK4,uri_rdf_nil) ),
inference(resolution,[],[f1190,f638]) ).
fof(f2810,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK4,X0)
| iext(uri_skos_member,X3,X2)
| ~ iext(uri_rdf_first,sK3,X4)
| ~ iext(X4,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f2809,f636]) ).
fof(f2816,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(sK2,X3,X2)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
inference(resolution,[],[f1191,f633]) ).
fof(f2817,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK6,X0)
| iext(sK2,X3,X2)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(X4,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f2816,f631]) ).
fof(f3100,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK3,X2)
| iext(uri_skos_member,X0,X1)
| ~ iext(X2,X0,X3)
| ~ iext(uri_rdf_first,X3,X1) ),
inference(resolution,[],[f2810,f637]) ).
fof(f3103,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(X2,X0,X3)
| iext(sK2,X0,X1) ),
inference(resolution,[],[f2817,f632]) ).
fof(f3245,plain,
! [X2,X0,X1] :
( ~ iext(sK2,X0,X2)
| iext(uri_skos_member,X0,X1)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f3100,f639]) ).
fof(f3247,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK7,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f3245,f1321]) ).
fof(f3308,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
inference(resolution,[],[f3247,f628]) ).
fof(f3309,plain,
spl26_3,
inference(avatar_split_clause,[],[f3308,f733]) ).
fof(f3339,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,X1,sK7)
| iext(sK2,X1,sK8) ),
inference(resolution,[],[f3103,f627]) ).
fof(f3340,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(X0,X1,sK8)
| iext(sK2,X1,sK9) ),
inference(resolution,[],[f3103,f625]) ).
fof(f4092,plain,
! [X0] :
( ~ iext(sK2,X0,sK7)
| iext(sK2,X0,sK8) ),
inference(resolution,[],[f3339,f634]) ).
fof(f4096,plain,
iext(sK2,uri_ex_MyOrderedCollection,sK8),
inference(resolution,[],[f4092,f1321]) ).
fof(f4098,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK8,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f4096,f3245]) ).
fof(f4101,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
inference(resolution,[],[f4098,f626]) ).
fof(f4102,plain,
spl26_2,
inference(avatar_split_clause,[],[f4101,f729]) ).
fof(f4104,plain,
! [X0] :
( ~ iext(sK2,X0,sK8)
| iext(sK2,X0,sK9) ),
inference(resolution,[],[f3340,f634]) ).
fof(f4108,plain,
iext(sK2,uri_ex_MyOrderedCollection,sK9),
inference(resolution,[],[f4104,f4096]) ).
fof(f4189,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK9,X0)
| iext(uri_skos_member,uri_ex_MyOrderedCollection,X0) ),
inference(resolution,[],[f4108,f3245]) ).
fof(f4526,plain,
iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
inference(resolution,[],[f4189,f624]) ).
fof(f4527,plain,
( $false
| spl26_1 ),
inference(forward_subsumption_resolution,[],[f4526,f727]) ).
fof(f4528,plain,
spl26_1,
inference(avatar_contradiction_clause,[],[f4527]) ).
cnf(s1,plain,
( ~ spl26_1
| ~ spl26_2
| ~ spl26_3 ),
inference(sat_conversion,[],[f736]) ).
cnf(s126,plain,
spl26_3,
inference(sat_conversion,[],[f3309]) ).
cnf(s213,plain,
spl26_2,
inference(sat_conversion,[],[f4102]) ).
cnf(s256,plain,
spl26_1,
inference(sat_conversion,[],[f4528]) ).
cnf(s263,plain,
$false,
inference(rat,[],[s1,s126,s213,s256]) ).
fof(f4529,plain,
$false,
inference(avatar_sat_refutation,[],[s263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB022+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n026.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 07:07:11 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 Running first-order theorem proving
% 0.14/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.72/1.84 % (3665356)Detected formulas, will run a generic FOF schedule.
% 2.72/1.84 % (3665369)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=658454619:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.72/1.84 % (3665374)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1380075742:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.72/1.84 % (3665371)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=2027189944:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.72/1.84 % (3665375)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4035101897:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.72/1.84 % (3665372)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=2544263297:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.72/1.84 % (3665375)Refutation not found, incomplete strategy
% 2.72/1.84 % (3665375)------------------------------
% 2.72/1.84 % (3665375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665375)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665375)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.84 % (3665375)Time elapsed: 0.002 s
% 2.72/1.84 % (3665375)Peak memory usage: 87 MB
% 2.72/1.84 % (3665374)Refutation not found, incomplete strategy
% 2.72/1.84 % (3665374)------------------------------
% 2.72/1.84 % (3665374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665375)Instructions burned: 1 (million)
% 2.72/1.84 % (3665374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665374)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665374)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.84 % (3665374)Time elapsed: 0.002 s
% 2.72/1.84 % (3665374)Peak memory usage: 87 MB
% 2.72/1.84 % (3665374)Instructions burned: 1 (million)
% 2.72/1.84 % (3665377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1717374265:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.72/1.84 % (3665378)dis-21_1_sil=8000:lcm=predicate:random_seed=868651771:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.72/1.84 % (3665377)Instruction limit reached!
% 2.72/1.84 % (3665377)------------------------------
% 2.72/1.84 % (3665377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665377)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665377)Termination reason: Instruction limit
% 2.72/1.84 % (3665377)Termination phase: Saturation
% 2.72/1.84 % (3665377)Time elapsed: 0.081 s
% 2.72/1.84 % (3665377)Peak memory usage: 90 MB
% 2.72/1.84 % (3665377)Instructions burned: 140 (million)
% 2.72/1.84 % (3665378)Instruction limit reached!
% 2.72/1.84 % (3665378)------------------------------
% 2.72/1.84 % (3665378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665378)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665378)Termination reason: Instruction limit
% 2.72/1.84 % (3665378)Termination phase: Saturation
% 2.72/1.84 % (3665378)Time elapsed: 0.069 s
% 2.72/1.84 % (3665378)Peak memory usage: 91 MB
% 2.72/1.84 % (3665378)Instructions burned: 130 (million)
% 2.72/1.84 % (3665466)lrs+10_1_sil=8000:sp=occurrence:random_seed=2491218104:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.72/1.84 % (3665469)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3165493517:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.72/1.84 % (3665469)Refutation not found, incomplete strategy
% 2.72/1.84 % (3665469)------------------------------
% 2.72/1.84 % (3665469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665469)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665469)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.84 % (3665469)Time elapsed: 0.004 s
% 2.72/1.84 % (3665469)Peak memory usage: 89 MB
% 2.72/1.84 % (3665469)Instructions burned: 6 (million)
% 2.72/1.84 % (3665375)------------------------------
% 2.72/1.84 % (3665375)------------------------------
% 2.72/1.84 % (3665374)------------------------------
% 2.72/1.84 % (3665374)------------------------------
% 2.72/1.84 % (3665466)First to succeed.
% 2.72/1.84 % (3665466)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3665356"
% 2.72/1.84 % (3665531)lrs+1011_1_sil=32000:sp=occurrence:random_seed=928698355:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.72/1.84 % (3665531)Refutation not found, incomplete strategy
% 2.72/1.84 % (3665531)------------------------------
% 2.72/1.84 % (3665531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.72/1.84 % (3665531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.72/1.84 % (3665531)CaDiCaL version: 2.1.3
% 2.72/1.84 % (3665531)Termination reason: Refutation not found, incomplete strategy
% 2.72/1.84 % (3665531)Time elapsed: 0.001 s
% 2.72/1.84 % (3665531)Peak memory usage: 88 MB
% 2.72/1.84 % (3665531)Instructions burned: 2 (million)
% 2.72/1.84 % (3665532)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=781964435:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 2.72/1.84 % (3665532)Also succeeded, but the first one will report.
% 2.72/1.84 % (3665469)------------------------------
% 2.72/1.84 % (3665469)------------------------------
% 2.72/1.84 % (3665531)------------------------------
% 2.72/1.84 % (3665531)------------------------------
% 2.72/1.84 % (3665466)Refutation found. Thanks to Tanya!
% 2.72/1.84 % SZS status Theorem for theBenchmark
% 2.72/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.94 % (3665466)------------------------------
% 5.72/1.94 % (3665466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.94 % (3665466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.94 % (3665466)CaDiCaL version: 2.1.3
% 5.72/1.94 % (3665466)Termination reason: Refutation
% 5.72/1.94 % (3665466)Time elapsed: 0.079 s
% 5.72/1.94 % (3665466)Peak memory usage: 92 MB
% 5.72/1.94 % (3665466)Instructions burned: 132 (million)
% 5.72/1.94 % (3665466)------------------------------
% 5.72/1.94 % (3665466)------------------------------
% 5.72/1.94 % (3665356)Success in time 0.713 s
% 5.72/1.94 % Vampire exiting
%------------------------------------------------------------------------------