TSTP Solution File: SWB075+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWB075+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n021.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 : Mon Jun 24 16:12:30 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 65 ( 18 unt; 0 def)
% Number of atoms : 212 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 241 ( 94 ~; 92 |; 34 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 85 ( 77 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1648,plain,
$false,
inference(avatar_sat_refutation,[],[f742,f744,f1383,f1620,f1635,f1647]) ).
fof(f1647,plain,
spl7_114,
inference(avatar_contradiction_clause,[],[f1646]) ).
fof(f1646,plain,
( $false
| spl7_114 ),
inference(resolution,[],[f1619,f925]) ).
fof(f925,plain,
ip(uri_ex_p),
inference(resolution,[],[f812,f690]) ).
fof(f690,plain,
! [X0] :
( ~ iodp(X0)
| ip(X0) ),
inference(cnf_transformation,[],[f607]) ).
fof(f607,plain,
! [X0] :
( ip(X0)
| ~ iodp(X0) ),
inference(ennf_transformation,[],[f584]) ).
fof(f584,plain,
! [X0] :
( iodp(X0)
=> ip(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,axiom,
! [X3] :
( iodp(X3)
=> ip(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f812,plain,
iodp(uri_ex_p),
inference(resolution,[],[f696,f650]) ).
fof(f650,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f561]) ).
fof(f561,axiom,
iext(uri_rdf_type,uri_ex_p,uri_owl_DatatypeProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f696,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
| iodp(X0) ),
inference(cnf_transformation,[],[f632]) ).
fof(f632,plain,
! [X0] :
( ( iodp(X0)
| ~ iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) )
& ( iext(uri_rdf_type,X0,uri_owl_DatatypeProperty)
| ~ iodp(X0) ) ),
inference(nnf_transformation,[],[f587]) ).
fof(f587,plain,
! [X0] :
( iodp(X0)
<=> iext(uri_rdf_type,X0,uri_owl_DatatypeProperty) ),
inference(rectify,[],[f92]) ).
fof(f92,axiom,
! [X3] :
( iodp(X3)
<=> iext(uri_rdf_type,X3,uri_owl_DatatypeProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1619,plain,
( ~ ip(uri_ex_p)
| spl7_114 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f1617,plain,
( spl7_114
<=> ip(uri_ex_p) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_114])]) ).
fof(f1635,plain,
spl7_113,
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1634,plain,
( $false
| spl7_113 ),
inference(resolution,[],[f1615,f812]) ).
fof(f1615,plain,
( ~ iodp(uri_ex_p)
| spl7_113 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1613,plain,
( spl7_113
<=> iodp(uri_ex_p) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_113])]) ).
fof(f1620,plain,
( ~ spl7_113
| ~ spl7_114
| ~ spl7_97 ),
inference(avatar_split_clause,[],[f1601,f1381,f1617,f1613]) ).
fof(f1381,plain,
( spl7_97
<=> ! [X0] :
( ~ iodp(X0)
| ~ ir(sK0(X0,uri_owl_topDataProperty))
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_97])]) ).
fof(f1601,plain,
( ~ ip(uri_ex_p)
| ~ iodp(uri_ex_p)
| ~ spl7_97 ),
inference(resolution,[],[f1600,f633]) ).
fof(f633,plain,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_rdfs_subPropertyOf,uri_ex_p,uri_owl_topDataProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1600,plain,
( ! [X0] :
( iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(X0)
| ~ iodp(X0) )
| ~ spl7_97 ),
inference(resolution,[],[f1382,f687]) ).
fof(f687,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f582]) ).
fof(f582,plain,
! [X0] : ir(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] : ir(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1382,plain,
( ! [X0] :
( ~ ir(sK0(X0,uri_owl_topDataProperty))
| ~ iodp(X0)
| ~ ip(X0)
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty) )
| ~ spl7_97 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1383,plain,
( ~ spl7_6
| spl7_97
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f1379,f740,f1381,f729]) ).
fof(f729,plain,
( spl7_6
<=> ip(uri_owl_topDataProperty) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f740,plain,
( spl7_8
<=> ! [X0] :
( iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ir(sK0(X0,uri_owl_topDataProperty))
| ~ lv(sK1(X0,uri_owl_topDataProperty))
| ~ ip(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f1379,plain,
( ! [X0] :
( ~ iodp(X0)
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(uri_owl_topDataProperty)
| ~ ip(X0)
| ~ ir(sK0(X0,uri_owl_topDataProperty)) )
| ~ spl7_8 ),
inference(duplicate_literal_removal,[],[f1378]) ).
fof(f1378,plain,
( ! [X0] :
( ~ iodp(X0)
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(uri_owl_topDataProperty)
| ~ ip(X0)
| ~ ir(sK0(X0,uri_owl_topDataProperty))
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(X0) )
| ~ spl7_8 ),
inference(resolution,[],[f862,f741]) ).
fof(f741,plain,
( ! [X0] :
( ~ lv(sK1(X0,uri_owl_topDataProperty))
| ~ ir(sK0(X0,uri_owl_topDataProperty))
| iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(X0) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f862,plain,
! [X0,X1] :
( lv(sK1(X0,X1))
| ~ iodp(X0)
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(resolution,[],[f689,f638]) ).
fof(f638,plain,
! [X0,X1] :
( iext(X0,sK0(X0,X1),sK1(X0,X1))
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f612]) ).
fof(f612,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
& iext(X0,sK0(X0,X1),sK1(X0,X1)) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f610,f611]) ).
fof(f611,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
=> ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
& iext(X0,sK0(X0,X1),sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f610,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f609]) ).
fof(f609,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f608]) ).
fof(f608,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f590]) ).
fof(f590,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f564]) ).
fof(f564,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f344]) ).
fof(f344,axiom,
! [X32,X33] :
( iext(uri_rdfs_subPropertyOf,X32,X33)
<=> ( ! [X3,X6] :
( iext(X32,X3,X6)
=> iext(X33,X3,X6) )
& ip(X33)
& ip(X32) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ iext(X0,X1,X2)
| lv(X2)
| ~ iodp(X0) ),
inference(cnf_transformation,[],[f606]) ).
fof(f606,plain,
! [X0] :
( ! [X1,X2] :
( ( lv(X2)
& ir(X1) )
| ~ iext(X0,X1,X2) )
| ~ iodp(X0) ),
inference(ennf_transformation,[],[f583]) ).
fof(f583,plain,
! [X0] :
( iodp(X0)
=> ! [X1,X2] :
( iext(X0,X1,X2)
=> ( lv(X2)
& ir(X1) ) ) ),
inference(rectify,[],[f90]) ).
fof(f90,axiom,
! [X3] :
( iodp(X3)
=> ! [X6,X10] :
( iext(X3,X6,X10)
=> ( lv(X10)
& ir(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f744,plain,
spl7_6,
inference(avatar_split_clause,[],[f743,f729]) ).
fof(f743,plain,
ip(uri_owl_topDataProperty),
inference(resolution,[],[f690,f649]) ).
fof(f649,plain,
iodp(uri_owl_topDataProperty),
inference(cnf_transformation,[],[f267]) ).
fof(f267,axiom,
iodp(uri_owl_topDataProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f742,plain,
( ~ spl7_6
| spl7_8 ),
inference(avatar_split_clause,[],[f737,f740,f729]) ).
fof(f737,plain,
! [X0] :
( iext(uri_rdfs_subPropertyOf,X0,uri_owl_topDataProperty)
| ~ ip(uri_owl_topDataProperty)
| ~ ip(X0)
| ~ lv(sK1(X0,uri_owl_topDataProperty))
| ~ ir(sK0(X0,uri_owl_topDataProperty)) ),
inference(resolution,[],[f639,f648]) ).
fof(f648,plain,
! [X0,X1] :
( iext(uri_owl_topDataProperty,X0,X1)
| ~ lv(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f614]) ).
fof(f614,plain,
! [X0,X1] :
( ( iext(uri_owl_topDataProperty,X0,X1)
| ~ lv(X1)
| ~ ir(X0) )
& ( ( lv(X1)
& ir(X0) )
| ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
inference(flattening,[],[f613]) ).
fof(f613,plain,
! [X0,X1] :
( ( iext(uri_owl_topDataProperty,X0,X1)
| ~ lv(X1)
| ~ ir(X0) )
& ( ( lv(X1)
& ir(X0) )
| ~ iext(uri_owl_topDataProperty,X0,X1) ) ),
inference(nnf_transformation,[],[f567]) ).
fof(f567,plain,
! [X0,X1] :
( iext(uri_owl_topDataProperty,X0,X1)
<=> ( lv(X1)
& ir(X0) ) ),
inference(rectify,[],[f266]) ).
fof(f266,axiom,
! [X3,X6] :
( iext(uri_owl_topDataProperty,X3,X6)
<=> ( lv(X6)
& ir(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f639,plain,
! [X0,X1] :
( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
| iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB075+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 17:46:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (16597)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.22/0.44 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (16602)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.22/0.44 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (16598)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.22/0.44 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (16599)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.45 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (16596)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.22/0.46 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.46 % (16595)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.22/0.47 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.47 % (16601)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.22/0.47 % (16599)Instruction limit reached!
% 0.22/0.47 % (16599)------------------------------
% 0.22/0.47 % (16599)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.47 % (16599)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.47 % (16599)Termination reason: Time limit
% 0.22/0.47 % (16599)Termination phase: Saturation
% 0.22/0.47
% 0.22/0.47 % (16599)Memory used [KB]: 1664
% 0.22/0.47 % (16599)Time elapsed: 0.032 s
% 0.22/0.47 % (16599)Instructions burned: 111 (million)
% 0.22/0.48 % (16601)First to succeed.
% 0.22/0.48 % (16601)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16594"
% 0.22/0.48 % (16594)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.48 % (16601)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48 % (16601)------------------------------
% 0.22/0.48 % (16601)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (16601)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (16601)Termination reason: Refutation
% 0.22/0.48
% 0.22/0.48 % (16601)Memory used [KB]: 1884
% 0.22/0.48 % (16601)Time elapsed: 0.043 s
% 0.22/0.48 % (16601)Instructions burned: 25 (million)
% 0.22/0.48 % (16601)------------------------------
% 0.22/0.48 % (16601)------------------------------
% 0.22/0.48 % (16594)Success in time 0.102 s
%------------------------------------------------------------------------------