%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB024+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 : n003.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 01:00:45 PM UTC 2026
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 31 ~; 27 |; 18 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% 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] :
( ( iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_mincard_001) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f4,axiom,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X2)
& iext(X0,X2,X3) )
=> iext(X0,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_transitive) ).
fof(f5,conjecture,
? [X0] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X0)
& iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(f6,negated_conjecture,
~ ? [X0] :
( iext(uri_ex_hasAncestor,uri_ex_bob,X0)
& iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty)
& iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_ex_hasAncestor)
& iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_rdf_type,uri_ex_alice,uri_ex_Person)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_Person)
& iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_024_Cardinality_Restrictions_on_Complex_Properties) ).
fof(f8,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ? [X3] : iext(X1,X2,X3) )
| ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f12,plain,
! [X0] :
( icext(uri_owl_TransitiveProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( iext(X0,X1,X3)
| ~ iext(X0,X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_minCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| iext(X1,X2,sK0(X1,X2))
| ~ icext(X0,X2) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ icext(X0,X2)
| icext(X1,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ icext(uri_owl_TransitiveProperty,X0)
| ~ iext(X0,X1,X2)
| iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f28,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,uri_ex_alice,X0)
| ~ iext(uri_ex_hasAncestor,uri_ex_bob,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f7]) ).
fof(f30,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_Person),
inference(cnf_transformation,[],[f7]) ).
fof(f32,plain,
iext(uri_owl_minCardinality,sK5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f7]) ).
fof(f33,plain,
iext(uri_owl_onProperty,sK5,uri_ex_hasAncestor),
inference(cnf_transformation,[],[f7]) ).
fof(f35,plain,
iext(uri_rdfs_subClassOf,uri_ex_Person,sK5),
inference(cnf_transformation,[],[f7]) ).
fof(f36,plain,
iext(uri_rdf_type,uri_ex_hasAncestor,uri_owl_TransitiveProperty),
inference(cnf_transformation,[],[f7]) ).
fof(f41,plain,
icext(uri_owl_TransitiveProperty,uri_ex_hasAncestor),
inference(resolution,[],[f15,f36]) ).
fof(f42,plain,
icext(uri_ex_Person,uri_ex_bob),
inference(resolution,[],[f15,f30]) ).
fof(f49,plain,
! [X0] :
( ~ iext(uri_rdfs_subClassOf,uri_ex_Person,X0)
| icext(X0,uri_ex_bob) ),
inference(resolution,[],[f42,f20]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_hasAncestor,X1,X2)
| iext(uri_ex_hasAncestor,X0,X2)
| ~ iext(uri_ex_hasAncestor,X0,X1) ),
inference(resolution,[],[f26,f41]) ).
fof(f57,plain,
icext(sK5,uri_ex_bob),
inference(resolution,[],[f49,f35]) ).
fof(f58,plain,
! [X0,X1] :
( ~ icext(sK5,X1)
| iext(X0,X1,sK0(X0,X1))
| ~ iext(uri_owl_onProperty,sK5,X0) ),
inference(resolution,[],[f17,f32]) ).
fof(f61,plain,
! [X0] :
( ~ iext(uri_owl_onProperty,sK5,X0)
| iext(X0,uri_ex_bob,sK0(X0,uri_ex_bob)) ),
inference(resolution,[],[f58,f57]) ).
fof(f104,plain,
iext(uri_ex_hasAncestor,uri_ex_bob,sK0(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[],[f61,f33]) ).
fof(f106,plain,
! [X0] :
( ~ iext(uri_ex_hasAncestor,X0,uri_ex_bob)
| iext(uri_ex_hasAncestor,X0,sK0(uri_ex_hasAncestor,uri_ex_bob)) ),
inference(resolution,[],[f104,f54]) ).
fof(f114,plain,
iext(uri_ex_hasAncestor,uri_ex_alice,sK0(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[],[f106,f29]) ).
fof(f115,plain,
~ iext(uri_ex_hasAncestor,uri_ex_bob,sK0(uri_ex_hasAncestor,uri_ex_bob)),
inference(resolution,[],[f114,f28]) ).
fof(f118,plain,
$false,
inference(forward_subsumption_resolution,[],[f115,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB024+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:06:57 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.45 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
% 0.19/0.50 % (1395900)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (1395906)% WARNING: option uhcvi not known.
% 0.19/0.50 % (1395906)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3456019672:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.50 % (1395906) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1395900-1395906"...
% 0.19/0.50 % (1395906)...printing done.
% 0.19/0.50 % (1395906)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (1395906)------------------------------
% 0.19/0.50 % (1395906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (1395906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (1395906)CaDiCaL version: 2.1.3
% 0.19/0.50 % (1395906)Termination reason: Refutation
% 0.19/0.50 % (1395906)Time elapsed: 0.004 s
% 0.19/0.50 % (1395906)Peak memory usage: 11 MB
% 0.19/0.50 % (1395906)Instructions burned: 4 (million)
% 0.19/0.50 % (1395900)Success in time 0.042 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------