TSTP Solution File: SWB030+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB030+2 : 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 : n029.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 15:42:08 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 8 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 119 ( 39 ~; 36 |; 29 &)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 67 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58,plain,
$false,
inference(subsumption_resolution,[],[f56,f45]) ).
fof(f45,plain,
icext(uri_ex_c,uri_ex_c),
inference(factoring,[],[f40]) ).
fof(f40,plain,
! [X0] :
( icext(uri_ex_c,X0)
| icext(X0,X0) ),
inference(resolution,[],[f39,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f39,plain,
! [X0] :
( iext(uri_rdf_type,X0,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[],[f38,f33]) ).
fof(f33,plain,
! [X0] :
( icext(sK0,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[],[f18,f24]) ).
fof(f24,plain,
iext(uri_owl_complementOf,uri_ex_c,sK0),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
( iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK0,uri_rdf_type)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f15]) ).
fof(f15,plain,
( ? [X0] :
( iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,X0,uri_rdf_type)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,X0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) )
=> ( iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,sK0,uri_rdf_type)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,sK0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0] :
( iext(uri_owl_hasSelf,X0,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,X0,uri_rdf_type)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,X0)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X5] :
( iext(uri_owl_hasSelf,X5,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,X5,uri_rdf_type)
& iext(uri_rdf_type,X5,uri_owl_Restriction)
& iext(uri_owl_complementOf,uri_ex_c,X5)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| icext(X1,X2)
| icext(X0,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ),
inference(pure_predicate_removal,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X1] :
( iext(uri_owl_complementOf,X2,X1)
=> ( ! [X0] :
( icext(X2,X0)
<=> ~ icext(X1,X0) )
& ic(X1)
& ic(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f38,plain,
! [X0] :
( ~ icext(sK0,X0)
| iext(uri_rdf_type,X0,X0) ),
inference(resolution,[],[f37,f27]) ).
fof(f27,plain,
iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasSelf,sK0,X1)
| iext(uri_rdf_type,X0,X0)
| ~ icext(sK0,X0) ),
inference(resolution,[],[f21,f26]) ).
fof(f26,plain,
iext(uri_owl_onProperty,sK0,uri_rdf_type),
inference(cnf_transformation,[],[f16]) ).
fof(f21,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| iext(X1,X3,X3)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ~ iext(X1,X3,X3) )
& ( iext(X1,X3,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_hasSelf,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3,X4] :
( ( iext(uri_owl_onProperty,X2,X3)
& iext(uri_owl_hasSelf,X2,X4) )
=> ! [X0] :
( icext(X2,X0)
<=> iext(X3,X0,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_hasself) ).
fof(f56,plain,
~ icext(uri_ex_c,uri_ex_c),
inference(resolution,[],[f54,f32]) ).
fof(f32,plain,
! [X0] :
( ~ icext(sK0,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f17,f24]) ).
fof(f17,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f54,plain,
icext(sK0,uri_ex_c),
inference(resolution,[],[f53,f27]) ).
fof(f53,plain,
! [X0] :
( ~ iext(uri_owl_hasSelf,sK0,X0)
| icext(sK0,uri_ex_c) ),
inference(resolution,[],[f49,f26]) ).
fof(f49,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,uri_rdf_type)
| icext(X0,uri_ex_c)
| ~ iext(uri_owl_hasSelf,X0,X1) ),
inference(resolution,[],[f22,f46]) ).
fof(f46,plain,
iext(uri_rdf_type,uri_ex_c,uri_ex_c),
inference(resolution,[],[f45,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ iext(X1,X3,X3)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasSelf,X0,X2) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 02:40:20 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (24604)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (24609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (24610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (24608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (24605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (24611)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (24606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (24607)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 Detected minimum model sizes of [1,1,1]
% 0.15/0.39 Detected maximum model sizes of [max,1,1]
% 0.15/0.39 Detected minimum model sizes of [1,1,1]
% 0.15/0.39 Detected maximum model sizes of [max,1,1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 % (24609)First to succeed.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2,1,1]
% 0.15/0.39 % (24610)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2,1,1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 TRYING [3,1,1]
% 0.15/0.39 % (24609)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (24609)------------------------------
% 0.15/0.39 % (24609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (24609)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (24609)Memory used [KB]: 750
% 0.15/0.39 % (24609)Time elapsed: 0.004 s
% 0.15/0.39 % (24609)Instructions burned: 4 (million)
% 0.15/0.39 % (24609)------------------------------
% 0.15/0.39 % (24609)------------------------------
% 0.15/0.39 % (24604)Success in time 0.02 s
%------------------------------------------------------------------------------