%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB030+2 : 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 : n012.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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 2.36s 1.10s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 9 unt; 3 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 170 ( 79 ~; 64 |; 14 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 71 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_hasSelf,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f4,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_rdf_type)
& iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(f5,plain,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ),
inference(pure_predicate_removal,[],[f3]) ).
fof(f6,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f9,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ~ iext(X1,X3,X3) )
& ( iext(X1,X3,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f12,plain,
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,sK0)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK0,uri_rdf_type)
& iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_hasSelf,X0,X2)
| iext(X1,X3,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( icext(X0,X3)
| ~ iext(X1,X3,X3)
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X2,X0,X1] :
( icext(X0,X2)
| icext(X1,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
iext(uri_owl_onProperty,sK0,uri_rdf_type),
inference(cnf_transformation,[],[f12]) ).
fof(f22,plain,
iext(uri_owl_complementOf,uri_ex_c,sK0),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0,X1] :
( ~ icext(sK0,X0)
| ~ iext(uri_owl_hasSelf,sK0,X1)
| iext(uri_rdf_type,X0,X0) ),
inference(resolution,[],[f15,f20]) ).
fof(f30,definition,
( spl1_1
<=> ! [X1] : ~ iext(uri_owl_hasSelf,sK0,X1) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f31,plain,
( ! [X1] : ~ iext(uri_owl_hasSelf,sK0,X1)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f33,definition,
( spl1_2
<=> ! [X0] :
( ~ icext(sK0,X0)
| iext(uri_rdf_type,X0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f34,plain,
( ! [X0] :
( iext(uri_rdf_type,X0,X0)
| ~ icext(sK0,X0) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f28,f33,f30]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_complementOf,X4,X2)
| ~ iext(uri_owl_hasSelf,X2,X3)
| ~ iext(uri_owl_onProperty,X2,X0)
| ~ icext(X4,X1)
| ~ iext(X0,X1,X1) ),
inference(resolution,[],[f16,f17]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_hasSelf,sK0,X0)
| ~ iext(uri_owl_onProperty,sK0,X1)
| ~ icext(uri_ex_c,X2)
| ~ iext(X1,X2,X2) ),
inference(resolution,[],[f36,f22]) ).
fof(f60,definition,
( spl1_6
<=> ! [X2,X1] :
( ~ iext(uri_owl_onProperty,sK0,X1)
| ~ iext(X1,X2,X2)
| ~ icext(uri_ex_c,X2) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f61,plain,
( ! [X2,X1] :
( ~ iext(uri_owl_onProperty,sK0,X1)
| ~ iext(X1,X2,X2)
| ~ icext(uri_ex_c,X2) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f62,plain,
( spl1_6
| spl1_1 ),
inference(avatar_split_clause,[],[f57,f30,f60]) ).
fof(f64,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f31,f19]) ).
fof(f65,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f64]) ).
fof(f77,plain,
( ! [X0] :
( ~ iext(uri_rdf_type,X0,X0)
| ~ icext(uri_ex_c,X0) )
| ~ spl1_6 ),
inference(resolution,[],[f61,f20]) ).
fof(f87,plain,
( ! [X0] :
( ~ icext(uri_ex_c,X0)
| ~ icext(X0,X0) )
| ~ spl1_6 ),
inference(resolution,[],[f77,f14]) ).
fof(f94,plain,
( ~ icext(uri_ex_c,uri_ex_c)
| ~ spl1_6 ),
inference(factoring,[],[f87]) ).
fof(f99,plain,
( ! [X0] :
( ~ iext(uri_owl_complementOf,uri_ex_c,X0)
| icext(X0,uri_ex_c) )
| ~ spl1_6 ),
inference(resolution,[],[f94,f18]) ).
fof(f100,plain,
( ~ iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| ~ spl1_6 ),
inference(resolution,[],[f94,f13]) ).
fof(f103,plain,
( ~ icext(sK0,uri_ex_c)
| ~ spl1_2
| ~ spl1_6 ),
inference(resolution,[],[f100,f34]) ).
fof(f121,plain,
( icext(sK0,uri_ex_c)
| ~ spl1_6 ),
inference(resolution,[],[f99,f22]) ).
fof(f122,plain,
( $false
| ~ spl1_2
| ~ spl1_6 ),
inference(forward_subsumption_resolution,[],[f121,f103]) ).
fof(f123,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f122]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s4,plain,
( spl1_1
| spl1_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s5,plain,
~ spl1_1,
inference(sat_conversion,[],[f65]) ).
cnf(s8,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(sat_conversion,[],[f123]) ).
cnf(s9,plain,
spl1_6,
inference(rat,[],[s4,s5]) ).
cnf(s10,plain,
~ spl1_2,
inference(rat,[],[s8,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s10,s5]) ).
fof(f124,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB030+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 % Computer : n012.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 28 07:07:19 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.07/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 Running first-order theorem proving
% 0.10/0.37 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
% 2.36/1.10 % (3203594)Detected formulas, will run a generic FOF schedule.
% 2.36/1.10 % (3203620)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=3252885780:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.36/1.10 % (3203623)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2762413538:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.36/1.10 % (3203625)dis-21_1_sil=8000:lcm=predicate:random_seed=1286247981: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)
% 2.36/1.10 % (3203619)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=3814801785:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.36/1.10 % (3203621)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=1145569442:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.36/1.10 % (3203624)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1456286622:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.36/1.10 % (3203623)Refutation not found, incomplete strategy
% 2.36/1.10 % (3203623)------------------------------
% 2.36/1.10 % (3203623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.10 % (3203623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.10 % (3203623)CaDiCaL version: 2.1.3
% 2.36/1.10 % (3203623)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.10 % (3203623)Time elapsed: 0.0000 s
% 2.36/1.10 % (3203623)Peak memory usage: 86 MB
% 2.36/1.10 % (3203624)First to succeed.
% 2.36/1.10 % (3203625)Also succeeded, but the first one will report.
% 2.36/1.10 % (3203624)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3203594"
% 2.36/1.10 % (3203622)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3388252729:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.36/1.10 % (3203622)Refutation not found, incomplete strategy
% 2.36/1.10 % (3203622)------------------------------
% 2.36/1.10 % (3203622)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.10 % (3203622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.10 % (3203622)CaDiCaL version: 2.1.3
% 2.36/1.10 % (3203622)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.10 % (3203622)Time elapsed: 0.0000 s
% 2.36/1.10 % (3203622)Peak memory usage: 86 MB
% 2.36/1.10 % (3203623)------------------------------
% 2.36/1.10 % (3203623)------------------------------
% 2.36/1.10 % (3203624)Refutation found. Thanks to Tanya!
% 2.36/1.10 % SZS status Unsatisfiable for theBenchmark
% 2.36/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 2.36/1.10 % (3203624)------------------------------
% 2.36/1.10 % (3203624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.10 % (3203624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.10 % (3203624)CaDiCaL version: 2.1.3
% 2.36/1.10 % (3203624)Termination reason: Refutation
% 2.36/1.10 % (3203624)Time elapsed: 0.003 s
% 2.36/1.10 % (3203624)Peak memory usage: 89 MB
% 2.36/1.10 % (3203624)Instructions burned: 4 (million)
% 2.36/1.10 % (3203624)------------------------------
% 2.36/1.10 % (3203624)------------------------------
% 2.36/1.10 % (3203594)Success in time 0.295 s
% 2.36/1.10 % Vampire exiting
%------------------------------------------------------------------------------