TSTP Solution File: SWB065+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB065+1 : 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 : n018.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 15:42:33 EDT 2024
% Result : Theorem 34.58s 5.34s
% Output : Refutation 34.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 16 unt; 0 def)
% Number of atoms : 169 ( 28 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 178 ( 58 ~; 57 |; 43 &)
% ( 16 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 88 ( 79 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466439,plain,
$false,
inference(subsumption_resolution,[],[f466410,f3756]) ).
fof(f3756,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f3040]) ).
fof(f3040,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f1812]) ).
fof(f1812,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/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f466410,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(superposition,[],[f2290,f466400]) ).
fof(f466400,plain,
uri_ex_w = uri_ex_u,
inference(unit_resulting_resolution,[],[f26806,f466396,f3160]) ).
fof(f3160,plain,
! [X3,X0,X1] :
( ~ sP61(X0,X1)
| ~ icext(X1,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f1911]) ).
fof(f1911,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK259])],[f1909,f1910]) ).
fof(f1910,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) )
=> ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1909,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(rectify,[],[f1908]) ).
fof(f1908,plain,
! [X2,X0] :
( ( sP61(X2,X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) ) )
& ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
| ~ sP61(X2,X0) ) ),
inference(nnf_transformation,[],[f1428]) ).
fof(f1428,plain,
! [X2,X0] :
( sP61(X2,X0)
<=> ! [X3] :
( icext(X0,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f466396,plain,
sP61(uri_ex_u,sK374),
inference(unit_resulting_resolution,[],[f466391,f3158]) ).
fof(f3158,plain,
! [X0,X1] :
( ~ sP62(X0,X1)
| sP61(X1,X0) ),
inference(cnf_transformation,[],[f1907]) ).
fof(f1907,plain,
! [X0,X1] :
( ( sP62(X0,X1)
| ~ sP61(X1,X0)
| ~ ic(X0) )
& ( ( sP61(X1,X0)
& ic(X0) )
| ~ sP62(X0,X1) ) ),
inference(rectify,[],[f1906]) ).
fof(f1906,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(flattening,[],[f1905]) ).
fof(f1905,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(nnf_transformation,[],[f1429]) ).
fof(f1429,plain,
! [X0,X2] :
( sP62(X0,X2)
<=> ( sP61(X2,X0)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f466391,plain,
sP62(sK374,uri_ex_u),
inference(unit_resulting_resolution,[],[f3753,f466385,f3155]) ).
fof(f3155,plain,
! [X2,X0,X1] :
( ~ sP63(X0,X1,X2)
| ~ iext(uri_owl_oneOf,X1,X2)
| sP62(X1,X0) ),
inference(cnf_transformation,[],[f1904]) ).
fof(f1904,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X1,X2)
| ~ sP62(X1,X0) )
& ( sP62(X1,X0)
| ~ iext(uri_owl_oneOf,X1,X2) ) )
| ~ sP63(X0,X1,X2) ),
inference(rectify,[],[f1903]) ).
fof(f1903,plain,
! [X2,X0,X1] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ sP62(X0,X2) )
& ( sP62(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ sP63(X2,X0,X1) ),
inference(nnf_transformation,[],[f1430]) ).
fof(f1430,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> sP62(X0,X2) )
| ~ sP63(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f466385,plain,
! [X0] : sP63(uri_ex_u,X0,sK373),
inference(unit_resulting_resolution,[],[f3751,f3752,f3164]) ).
fof(f3164,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| sP63(X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1431]) ).
fof(f1431,plain,
! [X0,X1,X2] :
( sP63(X2,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f1205,f1430,f1429,f1428]) ).
fof(f1205,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1204]) ).
fof(f1204,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f853]) ).
fof(f853,plain,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) ) ),
inference(rectify,[],[f295]) ).
fof(f295,axiom,
! [X10,X11,X20] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,X20) )
=> ( iext(uri_owl_oneOf,X10,X11)
<=> ( ! [X3] :
( icext(X10,X3)
<=> X3 = X20 )
& ic(X10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f3752,plain,
iext(uri_rdf_rest,sK373,uri_rdf_nil),
inference(cnf_transformation,[],[f2289]) ).
fof(f2289,plain,
( iext(uri_rdf_type,uri_ex_w,sK374)
& iext(uri_owl_oneOf,sK374,sK373)
& iext(uri_rdf_rest,sK373,uri_rdf_nil)
& iext(uri_rdf_first,sK373,uri_ex_u) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374])],[f921,f2288]) ).
fof(f2288,plain,
( ? [X0,X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_u) )
=> ( iext(uri_rdf_type,uri_ex_w,sK374)
& iext(uri_owl_oneOf,sK374,sK373)
& iext(uri_rdf_rest,sK373,uri_rdf_nil)
& iext(uri_rdf_first,sK373,uri_ex_u) ) ),
introduced(choice_axiom,[]) ).
fof(f921,plain,
? [X0,X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_u) ),
inference(rectify,[],[f561]) ).
fof(f561,axiom,
? [X41,X36] :
( iext(uri_rdf_type,uri_ex_w,X36)
& iext(uri_owl_oneOf,X36,X41)
& iext(uri_rdf_rest,X41,uri_rdf_nil)
& iext(uri_rdf_first,X41,uri_ex_u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).
fof(f3751,plain,
iext(uri_rdf_first,sK373,uri_ex_u),
inference(cnf_transformation,[],[f2289]) ).
fof(f3753,plain,
iext(uri_owl_oneOf,sK374,sK373),
inference(cnf_transformation,[],[f2289]) ).
fof(f26806,plain,
icext(sK374,uri_ex_w),
inference(unit_resulting_resolution,[],[f3754,f3069]) ).
fof(f3069,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1837]) ).
fof(f1837,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/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f3754,plain,
iext(uri_rdf_type,uri_ex_w,sK374),
inference(cnf_transformation,[],[f2289]) ).
fof(f2290,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(flattening,[],[f560]) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWB065+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n018.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 02:35:13 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (27068)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.40 % (27071)WARNING: value z3 for option sas not known
% 0.14/0.40 % (27072)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.40 % (27071)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)
% 0.14/0.40 % (27070)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.40 % (27073)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)
% 0.14/0.40 % (27074)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)
% 0.14/0.40 % (27075)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)
% 0.14/0.40 % (27069)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 1.32/0.56 TRYING [1]
% 1.46/0.57 TRYING [2]
% 2.51/0.75 TRYING [3]
% 4.61/1.03 TRYING [1]
% 5.06/1.13 TRYING [2]
% 8.17/1.57 TRYING [4]
% 8.77/1.66 TRYING [1]
% 9.23/1.69 TRYING [2]
% 11.33/2.00 TRYING [3]
% 16.19/2.73 TRYING [3]
% 17.24/2.83 TRYING [4]
% 25.71/4.09 TRYING [5]
% 34.58/5.32 % (27075)First to succeed.
% 34.58/5.34 % (27075)Refutation found. Thanks to Tanya!
% 34.58/5.34 % SZS status Theorem for theBenchmark
% 34.58/5.34 % SZS output start Proof for theBenchmark
% See solution above
% 34.58/5.34 % (27075)------------------------------
% 34.58/5.34 % (27075)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 34.58/5.34 % (27075)Termination reason: Refutation
% 34.58/5.34
% 34.58/5.34 % (27075)Memory used [KB]: 70264
% 34.58/5.34 % (27075)Time elapsed: 4.927 s
% 34.58/5.34 % (27075)Instructions burned: 16377 (million)
% 34.58/5.34 % (27075)------------------------------
% 34.58/5.34 % (27075)------------------------------
% 34.58/5.34 % (27068)Success in time 4.896 s
%------------------------------------------------------------------------------