TSTP Solution File: SWB097+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n024.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 : Sat Sep 2 12:35:07 EDT 2023
% Result : Theorem 120.99s 17.78s
% Output : Refutation 120.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 107 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 41 ~; 36 |; 24 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 78 (; 70 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1428881,plain,
$false,
inference(unit_resulting_resolution,[],[f2481,f403065,f2480,f2479,f3480]) ).
fof(f3480,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onClass,X0,X2)
| sP113(X1,X2,X0)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(cnf_transformation,[],[f1502]) ).
fof(f1502,plain,
! [X0,X1,X2] :
( sP113(X1,X2,X0)
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(definition_folding,[],[f1252,f1501,f1500]) ).
fof(f1500,plain,
! [X2,X3,X1] :
( sP112(X2,X3,X1)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f1501,plain,
! [X1,X2,X0] :
( ! [X3] :
( icext(X0,X3)
<=> sP112(X2,X3,X1) )
| ~ sP113(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(flattening,[],[f1251]) ).
fof(f1251,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) )
| ~ iext(uri_owl_onClass,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
inference(ennf_transformation,[],[f877]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onClass,X0,X2)
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) ) ) ),
inference(rectify,[],[f337]) ).
fof(f337,axiom,
! [X10,X1,X4] :
( ( iext(uri_owl_onClass,X10,X4)
& iext(uri_owl_onProperty,X10,X1)
& iext(uri_owl_minQualifiedCardinality,X10,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) )
=> ! [X3] :
( icext(X10,X3)
<=> ? [X6] :
( icext(X4,X6)
& iext(X1,X3,X6) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nKbCMlpp7k/Vampire---4.8_27424',owl_restrict_minqcr_object_001) ).
fof(f2479,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f561,axiom,
( iext(uri_ex_p,uri_ex_w,uri_ex_x)
& iext(uri_rdf_type,uri_ex_x,uri_ex_c)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)) ),
file('/export/starexec/sandbox2/tmp/tmp.nKbCMlpp7k/Vampire---4.8_27424',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f2480,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f403065,plain,
~ sP113(uri_ex_p,uri_ex_c,uri_ex_z),
inference(unit_resulting_resolution,[],[f27614,f361075,f3476]) ).
fof(f3476,plain,
! [X2,X3,X0,X1] :
( ~ sP113(X0,X1,X2)
| ~ sP112(X1,X3,X0)
| icext(X2,X3) ),
inference(cnf_transformation,[],[f2068]) ).
fof(f2068,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X2,X3)
| ~ sP112(X1,X3,X0) )
& ( sP112(X1,X3,X0)
| ~ icext(X2,X3) ) )
| ~ sP113(X0,X1,X2) ),
inference(rectify,[],[f2067]) ).
fof(f2067,plain,
! [X1,X2,X0] :
( ! [X3] :
( ( icext(X0,X3)
| ~ sP112(X2,X3,X1) )
& ( sP112(X2,X3,X1)
| ~ icext(X0,X3) ) )
| ~ sP113(X1,X2,X0) ),
inference(nnf_transformation,[],[f1501]) ).
fof(f361075,plain,
sP112(uri_ex_c,uri_ex_w,uri_ex_p),
inference(unit_resulting_resolution,[],[f26891,f2483,f3479]) ).
fof(f3479,plain,
! [X2,X3,X0,X1] :
( ~ iext(X2,X1,X3)
| ~ icext(X0,X3)
| sP112(X0,X1,X2) ),
inference(cnf_transformation,[],[f2072]) ).
fof(f2072,plain,
! [X0,X1,X2] :
( ( sP112(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ( icext(X0,sK323(X0,X1,X2))
& iext(X2,X1,sK323(X0,X1,X2)) )
| ~ sP112(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK323])],[f2070,f2071]) ).
fof(f2071,plain,
! [X0,X1,X2] :
( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
=> ( icext(X0,sK323(X0,X1,X2))
& iext(X2,X1,sK323(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f2070,plain,
! [X0,X1,X2] :
( ( sP112(X0,X1,X2)
| ! [X3] :
( ~ icext(X0,X3)
| ~ iext(X2,X1,X3) ) )
& ( ? [X4] :
( icext(X0,X4)
& iext(X2,X1,X4) )
| ~ sP112(X0,X1,X2) ) ),
inference(rectify,[],[f2069]) ).
fof(f2069,plain,
! [X2,X3,X1] :
( ( sP112(X2,X3,X1)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ sP112(X2,X3,X1) ) ),
inference(nnf_transformation,[],[f1500]) ).
fof(f2483,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[],[f561]) ).
fof(f26891,plain,
icext(uri_ex_c,uri_ex_x),
inference(unit_resulting_resolution,[],[f2482,f3071]) ).
fof(f3071,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1836]) ).
fof(f1836,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f836]) ).
fof(f836,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] :
( iext(uri_rdf_type,X3,X4)
<=> icext(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nKbCMlpp7k/Vampire---4.8_27424',rdfs_cext_def) ).
fof(f2482,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f27614,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(unit_resulting_resolution,[],[f2287,f3072]) ).
fof(f3072,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1836]) ).
fof(f2287,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/tmp/tmp.nKbCMlpp7k/Vampire---4.8_27424',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f2481,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15 % Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.36 % Computer : n024.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 16:13:52 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.43 % (27532)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.45 % (27536)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.16/0.45 % (27533)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.16/0.45 % (27535)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 Vampire---4 for (569ds/0Mi)
% 0.16/0.45 % (27538)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 Vampire---4 for (522ds/0Mi)
% 0.16/0.45 % (27539)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 Vampire---4 for (497ds/0Mi)
% 0.16/0.45 % (27537)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 Vampire---4 for (531ds/0Mi)
% 0.16/0.45 % (27534)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.16/0.60 TRYING [1]
% 0.16/0.63 TRYING [2]
% 2.85/0.89 TRYING [3]
% 4.96/1.18 TRYING [1]
% 5.44/1.29 TRYING [2]
% 8.70/1.72 TRYING [1]
% 9.17/1.75 TRYING [2]
% 9.82/1.85 TRYING [4]
% 11.53/2.07 TRYING [3]
% 16.21/2.75 TRYING [3]
% 18.73/3.13 TRYING [4]
% 34.23/5.36 TRYING [5]
% 49.40/7.50 TRYING [5]
% 72.15/10.78 TRYING [4]
% 106.31/15.82 TRYING [6]
% 112.46/16.55 TRYING [6]
% 120.21/17.75 % (27539)First to succeed.
% 120.99/17.78 % (27539)Refutation found. Thanks to Tanya!
% 120.99/17.78 % SZS status Theorem for Vampire---4
% 120.99/17.78 % SZS output start Proof for Vampire---4
% See solution above
% 120.99/17.78 % (27539)------------------------------
% 120.99/17.78 % (27539)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 120.99/17.78 % (27539)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 120.99/17.78 % (27539)Termination reason: Refutation
% 120.99/17.78
% 120.99/17.78 % (27539)Memory used [KB]: 350143
% 120.99/17.78 % (27539)Time elapsed: 17.301 s
% 120.99/17.78 % (27539)------------------------------
% 120.99/17.78 % (27539)------------------------------
% 120.99/17.78 % (27532)Success in time 17.282 s
% 120.99/17.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------