TSTP Solution File: SWB097+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---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 : n026.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 : Thu Aug 31 20:14:05 EDT 2023
% Result : Theorem 18.07s 3.05s
% Output : Refutation 18.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 102 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 117 ( 46 ~; 40 |; 21 &)
% ( 7 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 66 (; 59 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f233640,plain,
$false,
inference(unit_resulting_resolution,[],[f26209,f9190,f1997,f1994,f1993,f3332]) ).
fof(f3332,plain,
! [X3,X0,X1,X4] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(X1,X3,X4)
| ~ iext(uri_owl_onProperty,X0,X1)
| icext(X0,X3)
| ~ sP339(X4,X0) ),
inference(general_splitting,[],[f2821,f3331_D]) ).
fof(f3331,plain,
! [X2,X0,X4] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ icext(X2,X4)
| sP339(X4,X0) ),
inference(cnf_transformation,[],[f3331_D]) ).
fof(f3331_D,plain,
! [X0,X4] :
( ! [X2] :
( ~ iext(uri_owl_onClass,X0,X2)
| ~ icext(X2,X4) )
<=> ~ sP339(X4,X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP339])]) ).
fof(f2821,plain,
! [X2,X3,X0,X1,X4] :
( icext(X0,X3)
| ~ 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(cnf_transformation,[],[f1697]) ).
fof(f1697,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ( icext(X2,sK159(X1,X2,X3))
& iext(X1,X3,sK159(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ 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(skolemisation,[status(esa),new_symbols(skolem,[sK159])],[f1695,f1696]) ).
fof(f1696,plain,
! [X1,X2,X3] :
( ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) )
=> ( icext(X2,sK159(X1,X2,X3))
& iext(X1,X3,sK159(X1,X2,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f1695,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X5] :
( icext(X2,X5)
& iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ 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(rectify,[],[f1694]) ).
fof(f1694,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
& ( ? [X4] :
( icext(X2,X4)
& iext(X1,X3,X4) )
| ~ icext(X0,X3) ) )
| ~ 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(nnf_transformation,[],[f1252]) ).
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/sandbox/tmp/tmp.Fd6NCpkAP5/Vampire---4.8_32511',owl_restrict_minqcr_object_001) ).
fof(f1993,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/sandbox/tmp/tmp.Fd6NCpkAP5/Vampire---4.8_32511',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f1994,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f1997,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_x),
inference(cnf_transformation,[],[f561]) ).
fof(f9190,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(unit_resulting_resolution,[],[f1801,f2517]) ).
fof(f2517,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f1547]) ).
fof(f1547,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/sandbox/tmp/tmp.Fd6NCpkAP5/Vampire---4.8_32511',rdfs_cext_def) ).
fof(f1801,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/sandbox/tmp/tmp.Fd6NCpkAP5/Vampire---4.8_32511',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).
fof(f26209,plain,
sP339(uri_ex_x,uri_ex_z),
inference(unit_resulting_resolution,[],[f8749,f1995,f3331]) ).
fof(f1995,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f8749,plain,
icext(uri_ex_c,uri_ex_x),
inference(unit_resulting_resolution,[],[f1996,f2516]) ).
fof(f2516,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1547]) ).
fof(f1996,plain,
iext(uri_rdf_type,uri_ex_x,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.15/0.17 % Problem : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.15/0.19 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.40 % Computer : n026.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Sun Aug 27 07:58:19 EDT 2023
% 0.18/0.40 % CPUTime :
% 0.18/0.40 This is a FOF_THM_RFO_SEQ problem
% 0.18/0.40 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Fd6NCpkAP5/Vampire---4.8_32511
% 0.18/0.41 % (32633)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.48 % (32647)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.25/0.48 % (32637)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.25/0.48 % (32649)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.25/0.48 % (32635)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.25/0.48 % (32642)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.25/0.49 % (32636)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.25/0.49 % (32634)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.25/0.52 % (32649)Refutation not found, incomplete strategy% (32649)------------------------------
% 0.25/0.52 % (32649)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.25/0.52 % (32649)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.25/0.52 % (32649)Termination reason: Refutation not found, incomplete strategy
% 0.25/0.52
% 0.25/0.52 % (32649)Memory used [KB]: 4093
% 0.25/0.52 % (32649)Time elapsed: 0.036 s
% 0.25/0.52 % (32649)------------------------------
% 0.25/0.52 % (32649)------------------------------
% 0.25/0.56 % (32650)dis-1002_6_acc=on:anc=none:bce=on:cond=fast:drc=off:fsd=off:fde=none:gsp=on:irw=on:sac=on:sp=scramble:tgt=ground:urr=ec_only_401 on Vampire---4 for (401ds/0Mi)
% 18.07/3.04 % (32647)First to succeed.
% 18.07/3.05 % (32647)Refutation found. Thanks to Tanya!
% 18.07/3.05 % SZS status Theorem for Vampire---4
% 18.07/3.05 % SZS output start Proof for Vampire---4
% See solution above
% 18.07/3.05 % (32647)------------------------------
% 18.07/3.05 % (32647)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 18.07/3.05 % (32647)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 18.07/3.05 % (32647)Termination reason: Refutation
% 18.07/3.05
% 18.07/3.05 % (32647)Memory used [KB]: 115776
% 18.07/3.05 % (32647)Time elapsed: 2.562 s
% 18.07/3.05 % (32647)------------------------------
% 18.07/3.05 % (32647)------------------------------
% 18.07/3.05 % (32633)Success in time 2.602 s
% 18.07/3.05 % Vampire---4.8 exiting
%------------------------------------------------------------------------------