TSTP Solution File: SWB008+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB008+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 : n001.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 12:34:10 EDT 2023
% Result : Theorem 44.21s 6.77s
% Output : Refutation 44.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 11 unt; 0 def)
% Number of atoms : 110 ( 20 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 116 ( 40 ~; 34 |; 29 &)
% ( 10 <=>; 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 : 66 (; 57 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f818286,plain,
$false,
inference(unit_resulting_resolution,[],[f27012,f23718,f2482,f2481,f2662]) ).
fof(f2662,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X5,X6)
| X4 = X5
| ~ iext(X0,X4,X6)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f1640]) ).
fof(f1640,plain,
! [X0] :
( ( sP4(X0)
| ( sK186(X0) != sK187(X0)
& iext(X0,sK187(X0),sK188(X0))
& iext(X0,sK186(X0),sK188(X0)) ) )
& ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK186,sK187,sK188])],[f1638,f1639]) ).
fof(f1639,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> ( sK186(X0) != sK187(X0)
& iext(X0,sK187(X0),sK188(X0))
& iext(X0,sK186(X0),sK188(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1638,plain,
! [X0] :
( ( sP4(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) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f1637]) ).
fof(f1637,plain,
! [X0] :
( ( sP4(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) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f1337]) ).
fof(f1337,plain,
! [X0] :
( sP4(X0)
<=> ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2481,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f561]) ).
fof(f561,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/sandbox2/tmp/tmp.eIkk91LMFt/Vampire---4.8_4746',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f2482,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f561]) ).
fof(f23718,plain,
uri_ex_bob != uri_ex_robert,
inference(unit_resulting_resolution,[],[f2287,f3041]) ).
fof(f3041,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f1811]) ).
fof(f1811,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f831]) ).
fof(f831,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f354]) ).
fof(f354,axiom,
! [X3,X6] :
( iext(uri_owl_sameAs,X3,X6)
<=> X3 = X6 ),
file('/export/starexec/sandbox2/tmp/tmp.eIkk91LMFt/Vampire---4.8_4746',owl_eqdis_sameas) ).
fof(f2287,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox2/tmp/tmp.eIkk91LMFt/Vampire---4.8_4746',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f27012,plain,
sP4(uri_foaf_mbox_sha1sum),
inference(unit_resulting_resolution,[],[f26766,f2667]) ).
fof(f2667,plain,
! [X0] :
( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f1642]) ).
fof(f1642,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP4(X0)
| ~ ip(X0) )
& ( ( sP4(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f1641]) ).
fof(f1641,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ sP4(X0)
| ~ ip(X0) )
& ( ( sP4(X0)
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f1338]) ).
fof(f1338,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( sP4(X0)
& ip(X0) ) ),
inference(definition_folding,[],[f1021,f1337]) ).
fof(f1021,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(flattening,[],[f1020]) ).
fof(f1020,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,[],[f684]) ).
fof(f684,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
inference(rectify,[],[f394]) ).
fof(f394,axiom,
! [X1] :
( icext(uri_owl_InverseFunctionalProperty,X1)
<=> ( ! [X36,X37,X6] :
( ( iext(X1,X37,X6)
& iext(X1,X36,X6) )
=> X36 = X37 )
& ip(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eIkk91LMFt/Vampire---4.8_4746',owl_char_inversefunctional) ).
fof(f26766,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(unit_resulting_resolution,[],[f2480,f3070]) ).
fof(f3070,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.eIkk91LMFt/Vampire---4.8_4746',rdfs_cext_def) ).
fof(f2480,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f561]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWB008+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n001.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 : Wed Aug 30 16:46:10 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % (5009)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (5030)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.21/0.44 % (5029)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.21/0.44 % (5032)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.44 % (5031)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)
% 0.21/0.44 % (5033)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)
% 0.21/0.45 % (5034)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)
% 0.21/0.45 % (5035)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)
% 0.21/0.57 TRYING [1]
% 0.21/0.59 TRYING [2]
% 0.21/0.80 TRYING [3]
% 3.43/1.00 TRYING [1]
% 4.02/1.06 TRYING [2]
% 5.52/1.39 TRYING [4]
% 8.05/1.66 TRYING [1]
% 8.05/1.68 TRYING [2]
% 10.15/1.92 TRYING [3]
% 13.31/2.37 TRYING [3]
% 15.70/2.73 TRYING [4]
% 20.89/3.62 TRYING [5]
% 36.48/5.75 TRYING [5]
% 39.63/6.16 TRYING [4]
% 44.21/6.76 % (5035)First to succeed.
% 44.21/6.77 % (5035)Refutation found. Thanks to Tanya!
% 44.21/6.77 % SZS status Theorem for Vampire---4
% 44.21/6.77 % SZS output start Proof for Vampire---4
% See solution above
% 44.21/6.77 % (5035)------------------------------
% 44.21/6.77 % (5035)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 44.21/6.77 % (5035)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 44.21/6.77 % (5035)Termination reason: Refutation
% 44.21/6.77
% 44.21/6.77 % (5035)Memory used [KB]: 184602
% 44.21/6.77 % (5035)Time elapsed: 6.310 s
% 44.21/6.77 % (5035)------------------------------
% 44.21/6.77 % (5035)------------------------------
% 44.21/6.77 % (5009)Success in time 6.379 s
% 44.21/6.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------