%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 01:00:49 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 15 unt; 2 def)
% Number of atoms : 217 ( 28 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 267 ( 102 ~; 104 |; 48 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 74 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
fof(f2,axiom,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f3,axiom,
! [X0] : ~ icext(uri_owl_Nothing,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f6,axiom,
? [X0,X1] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X0)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X1,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f7,plain,
! [X0] :
( ir(X0)
=> icext(uri_owl_Thing,X0) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f8,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK0(X0,X2) != X2
| ~ icext(X0,sK0(X0,X2)) )
& ( sK0(X0,X2) = X2
| icext(X0,sK0(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK1(X0,X1))
| ~ icext(X0,sK1(X0,X1)) )
& ( icext(X1,sK1(X0,X1))
| icext(X0,sK1(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f17]) ).
fof(f19,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,sK2)
& iext(uri_owl_oneOf,sK2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f6]) ).
fof(f20,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f23,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f34,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f19]) ).
fof(f35,plain,
iext(uri_rdf_first,sK3,uri_ex_w),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
iext(uri_owl_oneOf,sK2,sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK2),
inference(cnf_transformation,[],[f19]) ).
fof(f48,plain,
! [X0] :
( icext(sK2,X0)
| ~ icext(uri_owl_Thing,X0) ),
inference(resolution,[],[f28,f37]) ).
fof(f53,definition,
( spl4_1
<=> iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f55,plain,
( ~ iext(uri_rdf_rest,sK3,uri_rdf_nil)
| spl4_1 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f60,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f55,f34]) ).
fof(f61,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ~ icext(sK2,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(resolution,[],[f23,f36]) ).
fof(f64,definition,
( spl4_3
<=> ! [X0,X1] :
( ~ icext(sK2,X0)
| ~ iext(uri_rdf_first,sK3,X1)
| X0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f65,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X1)
| ~ icext(sK2,X0)
| X0 = X1 )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f66,plain,
( ~ spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f62,f64,f53]) ).
fof(f68,plain,
( ! [X0] :
( ~ icext(sK2,X0)
| uri_ex_w = X0 )
| ~ spl4_3 ),
inference(resolution,[],[f65,f35]) ).
fof(f69,plain,
( ! [X0] :
( ~ icext(uri_owl_Thing,X0)
| uri_ex_w = X0 )
| ~ spl4_3 ),
inference(resolution,[],[f68,f48]) ).
fof(f72,plain,
( ! [X0] :
( ~ ir(X0)
| uri_ex_w = X0 )
| ~ spl4_3 ),
inference(resolution,[],[f69,f21]) ).
fof(f73,plain,
( ! [X0] : uri_ex_w = X0
| ~ spl4_3 ),
inference(resolution,[],[f72,f20]) ).
fof(f74,plain,
( ! [X0,X1] : X0 = X1
| ~ spl4_3 ),
inference(superposition,[],[f73,f73]) ).
fof(f112,plain,
( ! [X0,X1] : ~ icext(X0,X1)
| ~ spl4_3 ),
inference(superposition,[],[f22,f74]) ).
fof(f129,plain,
( ! [X0] : ~ ir(X0)
| ~ spl4_3 ),
inference(resolution,[],[f112,f21]) ).
fof(f130,plain,
( $false
| ~ spl4_3 ),
inference(resolution,[],[f129,f20]) ).
fof(f131,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f130]) ).
cnf(s2,plain,
spl4_1,
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
( ~ spl4_1
| spl4_3 ),
inference(sat_conversion,[],[f66]) ).
cnf(s4,plain,
~ spl4_3,
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
~ spl4_1,
inference(rat,[],[s3,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5]) ).
fof(f132,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB031+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:08:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % (611629)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (611634)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2312013443_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (611635)% WARNING: option uhcvi not known.
% 0.15/0.47 % TRYING [4]
% 0.15/0.47 % (611635)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2509937963:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (611636)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2863991021:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (611637)dis+10_1_sil=32000:sp=arity:random_seed=912445253:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (611638)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1559506290:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (611640)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=426921540:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (611639)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1785670879:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % TRYING [5]
% 0.15/0.47 % (611636) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-611629-611636"...
% 0.15/0.47 % (611637) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-611629-611637"...
% 0.15/0.47 % (611640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-611629-611640"...
% 0.15/0.47 % (611639) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-611629-611639"...
% 0.15/0.47 % (611637)...printing done.
% 0.15/0.47 % (611640)...printing done.
% 0.15/0.47 % (611636)...printing done.
% 0.15/0.47 % (611639)...printing done.
% 0.15/0.47 % (611640)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (611640)------------------------------
% 0.15/0.47 % (611640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (611640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (611640)CaDiCaL version: 2.1.3
% 0.15/0.47 % (611640)Termination reason: Refutation
% 0.15/0.47 % (611640)Time elapsed: 0.004 s
% 0.15/0.47 % (611640)Peak memory usage: 12 MB
% 0.15/0.47 % (611640)Instructions burned: 4 (million)
% 0.15/0.47 % (611629)Success in time 0.043 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------