TSTP Solution File: SWB030+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -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 : Wed Aug 31 18:37:31 EDT 2022
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 52 ( 5 unt; 0 def)
% Number of atoms : 166 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 182 ( 68 ~; 63 |; 32 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 84 ( 81 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f47,f92,f97]) ).
fof(f97,plain,
( ~ spl1_1
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| ~ spl1_1
| ~ spl1_6 ),
inference(subsumption_resolution,[],[f94,f67]) ).
fof(f67,plain,
( icext(uri_ex_c,uri_ex_c)
| ~ spl1_1 ),
inference(factoring,[],[f61]) ).
fof(f61,plain,
( ! [X0] :
( icext(uri_ex_c,X0)
| icext(X0,X0) )
| ~ spl1_1 ),
inference(resolution,[],[f50,f30]) ).
fof(f30,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) )
& ( icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X0) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( iext(uri_rdf_type,X1,X0)
<=> icext(X0,X1) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( icext(X1,X0)
<=> iext(uri_rdf_type,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f50,plain,
( ! [X0] :
( iext(uri_rdf_type,X0,X0)
| icext(uri_ex_c,X0) )
| ~ spl1_1 ),
inference(resolution,[],[f41,f37]) ).
fof(f37,plain,
! [X0] :
( icext(sK0,X0)
| icext(uri_ex_c,X0) ),
inference(resolution,[],[f29,f21]) ).
fof(f21,plain,
iext(uri_owl_complementOf,uri_ex_c,sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( iext(uri_rdf_type,sK0,uri_owl_Restriction)
& 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,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5,f13]) ).
fof(f13,plain,
( ? [X0] :
( iext(uri_rdf_type,X0,uri_owl_Restriction)
& 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,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,X0) )
=> ( iext(uri_rdf_type,sK0,uri_owl_Restriction)
& 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,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f5,plain,
? [X0] :
( iext(uri_rdf_type,X0,uri_owl_Restriction)
& 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,uri_ex_c,uri_owl_Class)
& iext(uri_owl_complementOf,uri_ex_c,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
? [X5] :
( iext(uri_owl_complementOf,uri_ex_c,X5)
& iext(uri_owl_onProperty,X5,uri_rdf_type)
& iext(uri_rdf_type,X5,uri_owl_Restriction)
& iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
& iext(uri_owl_hasSelf,X5,literal_typed(dat_str_true,uri_xsd_boolean)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_030_Bad_Class) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| icext(X0,X2)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ~ iext(uri_owl_complementOf,X1,X0)
| ! [X2] :
( ( icext(X1,X2)
| icext(X0,X2) )
& ( ~ icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X0] :
( ~ iext(uri_owl_complementOf,X1,X0)
| ! [X2] :
( icext(X1,X2)
<=> ~ icext(X0,X2) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( iext(uri_owl_complementOf,X1,X0)
=> ! [X2] :
( icext(X1,X2)
<=> ~ icext(X0,X2) ) ),
inference(pure_predicate_removal,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( iext(uri_owl_complementOf,X1,X0)
=> ( ic(X1)
& ! [X2] :
( icext(X1,X2)
<=> ~ icext(X0,X2) )
& ic(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X2] :
( iext(uri_owl_complementOf,X2,X1)
=> ( ic(X1)
& ! [X0] :
( ~ icext(X1,X0)
<=> icext(X2,X0) )
& ic(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f41,plain,
( ! [X1] :
( ~ icext(sK0,X1)
| iext(uri_rdf_type,X1,X1) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl1_1
<=> ! [X1] :
( ~ icext(sK0,X1)
| iext(uri_rdf_type,X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f94,plain,
( ~ icext(uri_ex_c,uri_ex_c)
| ~ spl1_6 ),
inference(resolution,[],[f91,f36]) ).
fof(f36,plain,
! [X0] :
( ~ icext(sK0,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f28,f21]) ).
fof(f28,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X1,X2)
| ~ icext(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f91,plain,
( icext(sK0,uri_ex_c)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl1_6
<=> icext(sK0,uri_ex_c) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f92,plain,
( spl1_2
| spl1_6
| ~ spl1_1 ),
inference(avatar_split_clause,[],[f87,f40,f89,f43]) ).
fof(f43,plain,
( spl1_2
<=> ! [X0] : ~ iext(uri_owl_hasSelf,sK0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f87,plain,
( ! [X0] :
( icext(sK0,uri_ex_c)
| ~ iext(uri_owl_hasSelf,sK0,X0) )
| ~ spl1_1 ),
inference(resolution,[],[f84,f23]) ).
fof(f23,plain,
iext(uri_owl_onProperty,sK0,uri_rdf_type),
inference(cnf_transformation,[],[f14]) ).
fof(f84,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,uri_rdf_type)
| icext(X0,uri_ex_c)
| ~ iext(uri_owl_hasSelf,X0,X1) )
| ~ spl1_1 ),
inference(resolution,[],[f74,f27]) ).
fof(f27,plain,
! [X2,X3,X0,X1] :
( ~ iext(X2,X3,X3)
| ~ iext(uri_owl_onProperty,X1,X2)
| icext(X1,X3)
| ~ iext(uri_owl_hasSelf,X1,X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X0)
| ! [X3] :
( ( icext(X1,X3)
| ~ iext(X2,X3,X3) )
& ( iext(X2,X3,X3)
| ~ icext(X1,X3) ) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( ~ iext(uri_owl_onProperty,X1,X0)
| ~ iext(uri_owl_hasSelf,X1,X2)
| ! [X3] :
( ( icext(X1,X3)
| ~ iext(X0,X3,X3) )
& ( iext(X0,X3,X3)
| ~ icext(X1,X3) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X2,X1,X0] :
( ~ iext(uri_owl_onProperty,X1,X0)
| ~ iext(uri_owl_hasSelf,X1,X2)
| ! [X3] :
( icext(X1,X3)
<=> iext(X0,X3,X3) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X2,X1] :
( ! [X3] :
( icext(X1,X3)
<=> iext(X0,X3,X3) )
| ~ iext(uri_owl_onProperty,X1,X0)
| ~ iext(uri_owl_hasSelf,X1,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X2,X1] :
( ( iext(uri_owl_onProperty,X1,X0)
& iext(uri_owl_hasSelf,X1,X2) )
=> ! [X3] :
( icext(X1,X3)
<=> iext(X0,X3,X3) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X2,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(f74,plain,
( iext(uri_rdf_type,uri_ex_c,uri_ex_c)
| ~ spl1_1 ),
inference(resolution,[],[f67,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f47,plain,
~ spl1_2,
inference(avatar_contradiction_clause,[],[f46]) ).
fof(f46,plain,
( $false
| ~ spl1_2 ),
inference(resolution,[],[f44,f24]) ).
fof(f24,plain,
iext(uri_owl_hasSelf,sK0,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[],[f14]) ).
fof(f44,plain,
( ! [X0] : ~ iext(uri_owl_hasSelf,sK0,X0)
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f38,f43,f40]) ).
fof(f38,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasSelf,sK0,X0)
| ~ icext(sK0,X1)
| iext(uri_rdf_type,X1,X1) ),
inference(resolution,[],[f26,f23]) ).
fof(f26,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X1,X2)
| ~ iext(uri_owl_hasSelf,X1,X0)
| iext(X2,X3,X3)
| ~ icext(X1,X3) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n001.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 30 18:00:47 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.47 % (22863)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.17/0.48 TRYING [1]
% 0.17/0.48 TRYING [2]
% 0.17/0.48 TRYING [3]
% 0.17/0.48 % (22880)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/467Mi)
% 0.17/0.49 % (22879)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.17/0.49 % (22880)First to succeed.
% 0.17/0.49 TRYING [4]
% 0.17/0.49 % (22872)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/75Mi)
% 0.17/0.50 TRYING [5]
% 0.17/0.50 % (22880)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (22880)------------------------------
% 0.17/0.50 % (22880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.50 % (22880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.50 % (22880)Termination reason: Refutation
% 0.17/0.50
% 0.17/0.50 % (22880)Memory used [KB]: 5373
% 0.17/0.50 % (22880)Time elapsed: 0.059 s
% 0.17/0.50 % (22880)Instructions burned: 3 (million)
% 0.17/0.50 % (22880)------------------------------
% 0.17/0.50 % (22880)------------------------------
% 0.17/0.50 % (22856)Success in time 0.174 s
%------------------------------------------------------------------------------