TSTP Solution File: SWB008+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:41:41 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 110 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 115 ( 40 ~; 34 |; 29 &)
% ( 9 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 65 ( 56 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,plain,
$false,
inference(subsumption_resolution,[],[f66,f38]) ).
fof(f38,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2] :
( iext(uri_owl_sameAs,X0,X2)
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f66,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(superposition,[],[f22,f53]) ).
fof(f53,plain,
uri_ex_bob = uri_ex_robert,
inference(unit_resulting_resolution,[],[f45,f25,f26,f27]) ).
fof(f27,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X5,X6)
| X4 = X5
| ~ iext(X0,X4,X6)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
| ( sK1(X0) != sK2(X0)
& iext(X0,sK2(X0),sK3(X0))
& iext(X0,sK1(X0),sK3(X0)) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f15,f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> ( sK1(X0) != sK2(X0)
& iext(X0,sK2(X0),sK3(X0))
& iext(X0,sK1(X0),sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) ) )
& ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( sP0(X0)
<=> ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f26,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f25,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
sP0(uri_foaf_mbox_sha1sum),
inference(unit_resulting_resolution,[],[f42,f32]) ).
fof(f32,plain,
! [X0] :
( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP0(X0)
| ~ ip(X0) )
& ( ( sP0(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( sP0(X0)
& ip(X0) ) ),
inference(definition_folding,[],[f11,f12]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ! [X4,X5,X2] :
( ( iext(X3,X5,X2)
& iext(X3,X4,X2) )
=> X4 = X5 )
& ip(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f42,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(unit_resulting_resolution,[],[f24,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,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(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f24,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f6]) ).
fof(f22,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[],[f7]) ).
fof(f7,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(flattening,[],[f5]) ).
fof(f5,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWB008+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:12:34 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28495)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28498)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28499)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28497)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28496)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28500)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28498)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28501)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28502)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (28502)First to succeed.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (28498)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (28500)Also succeeded, but the first one will report.
% 0.14/0.38 % (28502)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (28502)------------------------------
% 0.14/0.38 % (28502)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (28502)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (28502)Memory used [KB]: 759
% 0.14/0.38 % (28502)Time elapsed: 0.004 s
% 0.14/0.38 % (28502)Instructions burned: 5 (million)
% 0.14/0.38 % (28502)------------------------------
% 0.14/0.38 % (28502)------------------------------
% 0.14/0.38 % (28495)Success in time 0.021 s
%------------------------------------------------------------------------------