TSTP Solution File: SWB023+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB023+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 : n022.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 18:37:24 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 14 unt; 0 def)
% Number of atoms : 278 ( 52 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 314 ( 102 ~; 102 |; 85 &)
% ( 18 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 123 ( 101 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f214,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f208,f212]) ).
fof(f212,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f211]) ).
fof(f211,plain,
( $false
| spl6_2 ),
inference(subsumption_resolution,[],[f210,f55]) ).
fof(f55,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( X0 = X1
| ~ iext(uri_owl_sameAs,X1,X0) )
& ( iext(uri_owl_sameAs,X1,X0)
| X0 != X1 ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( X0 = X1
<=> iext(uri_owl_sameAs,X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X8,X0] :
( iext(uri_owl_sameAs,X0,X8)
<=> X0 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f210,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| spl6_2 ),
inference(forward_demodulation,[],[f209,f202]) ).
fof(f202,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[],[f199,f68]) ).
fof(f68,plain,
icext(sK2,uri_ex_w),
inference(resolution,[],[f34,f48]) ).
fof(f48,plain,
iext(uri_rdf_type,uri_ex_w,sK2),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
( iext(uri_rdf_type,uri_ex_w,sK2)
& iext(uri_rdf_first,sK1,uri_ex_v)
& iext(uri_owl_oneOf,sK2,sK1)
& iext(uri_rdf_first,sK1,uri_ex_u)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,sK2,uri_owl_Class)
& iext(uri_rdf_rest,sK1,uri_rdf_nil) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f12,f26]) ).
fof(f26,plain,
( ? [X0,X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_rdf_first,X0,uri_ex_v)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_u)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,X1,uri_owl_Class)
& iext(uri_rdf_rest,X0,uri_rdf_nil) )
=> ( iext(uri_rdf_type,uri_ex_w,sK2)
& iext(uri_rdf_first,sK1,uri_ex_v)
& iext(uri_owl_oneOf,sK2,sK1)
& iext(uri_rdf_first,sK1,uri_ex_u)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,sK2,uri_owl_Class)
& iext(uri_rdf_rest,sK1,uri_rdf_nil) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0,X1] :
( iext(uri_rdf_type,uri_ex_w,X1)
& iext(uri_rdf_first,X0,uri_ex_v)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_u)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,X1,uri_owl_Class)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
? [X10,X9] :
( iext(uri_owl_oneOf,X9,X10)
& iext(uri_rdf_first,X10,uri_ex_u)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,X9,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X9)
& iext(uri_rdf_rest,X10,uri_rdf_nil)
& iext(uri_rdf_first,X10,uri_ex_v) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f34,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) )
& ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X0) )
& ( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( icext(X0,X1)
<=> iext(uri_rdf_type,X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f199,plain,
! [X0] :
( ~ icext(sK2,X0)
| uri_ex_u = X0 ),
inference(resolution,[],[f198,f45]) ).
fof(f45,plain,
iext(uri_rdf_first,sK1,uri_ex_u),
inference(cnf_transformation,[],[f27]) ).
fof(f198,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK1,X1)
| ~ icext(sK2,X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f195,f42]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK1,uri_rdf_nil),
inference(cnf_transformation,[],[f27]) ).
fof(f195,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_rdf_first,sK1,X1)
| ~ icext(sK2,X0)
| ~ iext(uri_rdf_rest,sK1,uri_rdf_nil) ),
inference(resolution,[],[f41,f46]) ).
fof(f46,plain,
iext(uri_owl_oneOf,sK2,sK1),
inference(cnf_transformation,[],[f27]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_oneOf,X2,X0)
| ~ icext(X2,X3)
| X1 = X3
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ( ( ( ! [X3] :
( ( X1 = X3
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| X1 != X3 ) )
& ic(X2) )
| ~ iext(uri_owl_oneOf,X2,X0) )
& ( iext(uri_owl_oneOf,X2,X0)
| ( ( ~ icext(X2,sK0(X1,X2))
| sK0(X1,X2) != X1 )
& ( icext(X2,sK0(X1,X2))
| sK0(X1,X2) = X1 ) )
| ~ ic(X2) ) )
| ~ iext(uri_rdf_first,X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).
fof(f24,plain,
! [X1,X2] :
( ? [X4] :
( ( ~ icext(X2,X4)
| X1 != X4 )
& ( icext(X2,X4)
| X1 = X4 ) )
=> ( ( ~ icext(X2,sK0(X1,X2))
| sK0(X1,X2) != X1 )
& ( icext(X2,sK0(X1,X2))
| sK0(X1,X2) = X1 ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ( ( ( ! [X3] :
( ( X1 = X3
| ~ icext(X2,X3) )
& ( icext(X2,X3)
| X1 != X3 ) )
& ic(X2) )
| ~ iext(uri_owl_oneOf,X2,X0) )
& ( iext(uri_owl_oneOf,X2,X0)
| ? [X4] :
( ( ~ icext(X2,X4)
| X1 != X4 )
& ( icext(X2,X4)
| X1 = X4 ) )
| ~ ic(X2) ) )
| ~ iext(uri_rdf_first,X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ( ( ( ! [X3] :
( ( X1 = X3
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| X1 != X3 ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X2) )
& ( iext(uri_owl_oneOf,X0,X2)
| ? [X3] :
( ( ~ icext(X0,X3)
| X1 != X3 )
& ( icext(X0,X3)
| X1 = X3 ) )
| ~ ic(X0) ) )
| ~ iext(uri_rdf_first,X2,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ( ( ( ! [X3] :
( ( X1 = X3
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| X1 != X3 ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X2) )
& ( iext(uri_owl_oneOf,X0,X2)
| ? [X3] :
( ( ~ icext(X0,X3)
| X1 != X3 )
& ( icext(X0,X3)
| X1 = X3 ) )
| ~ ic(X0) ) )
| ~ iext(uri_rdf_first,X2,X1) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ( ( ! [X3] :
( X1 = X3
<=> icext(X0,X3) )
& ic(X0) )
<=> iext(uri_owl_oneOf,X0,X2) )
| ~ iext(uri_rdf_first,X2,X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X2,X0,X1] :
( ( ( ! [X3] :
( X1 = X3
<=> icext(X0,X3) )
& ic(X0) )
<=> iext(uri_owl_oneOf,X0,X2) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X1) )
=> ( ( ! [X3] :
( X1 = X3
<=> icext(X0,X3) )
& ic(X0) )
<=> iext(uri_owl_oneOf,X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X4,X3] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4) )
=> ( iext(uri_owl_oneOf,X2,X3)
<=> ( ic(X2)
& ! [X0] :
( icext(X2,X0)
<=> X0 = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f209,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| spl6_2 ),
inference(forward_demodulation,[],[f64,f183]) ).
fof(f183,plain,
uri_ex_u = uri_ex_v,
inference(resolution,[],[f153,f45]) ).
fof(f153,plain,
! [X11] :
( ~ iext(uri_rdf_first,sK1,X11)
| uri_ex_v = X11 ),
inference(subsumption_resolution,[],[f149,f67]) ).
fof(f67,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(resolution,[],[f34,f44]) ).
fof(f44,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f27]) ).
fof(f149,plain,
! [X11] :
( ~ icext(uri_owl_FunctionalProperty,uri_rdf_first)
| ~ iext(uri_rdf_first,sK1,X11)
| uri_ex_v = X11 ),
inference(resolution,[],[f49,f47]) ).
fof(f47,plain,
iext(uri_rdf_first,sK1,uri_ex_v),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X6,X5)
| ~ iext(X0,X6,X4)
| ~ icext(uri_owl_FunctionalProperty,X0)
| X4 = X5 ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ( iext(X0,sK5(X0),sK3(X0))
& sK3(X0) != sK4(X0)
& iext(X0,sK5(X0),sK4(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( ~ iext(X0,X6,X4)
| X4 = X5
| ~ iext(X0,X6,X5) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f30,f31]) ).
fof(f31,plain,
! [X0] :
( ? [X1,X2,X3] :
( iext(X0,X3,X1)
& X1 != X2
& iext(X0,X3,X2) )
=> ( iext(X0,sK5(X0),sK3(X0))
& sK3(X0) != sK4(X0)
& iext(X0,sK5(X0),sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( iext(X0,X3,X1)
& X1 != X2
& iext(X0,X3,X2) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( ~ iext(X0,X6,X4)
| X4 = X5
| ~ iext(X0,X6,X5) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X3,X1,X2] :
( iext(X0,X2,X3)
& X1 != X3
& iext(X0,X2,X1) ) )
& ( ( ip(X0)
& ! [X3,X1,X2] :
( ~ iext(X0,X2,X3)
| X1 = X3
| ~ iext(X0,X2,X1) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X3,X1,X2] :
( iext(X0,X2,X3)
& X1 != X3
& iext(X0,X2,X1) ) )
& ( ( ip(X0)
& ! [X3,X1,X2] :
( ~ iext(X0,X2,X3)
| X1 = X3
| ~ iext(X0,X2,X1) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X3,X1,X2] :
( ~ iext(X0,X2,X3)
| X1 = X3
| ~ iext(X0,X2,X1) ) ) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X3
| ~ iext(X0,X2,X1)
| ~ iext(X0,X2,X3) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X1)
& iext(X0,X2,X3) )
=> X1 = X3 )
& ip(X0) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5] :
( ( ! [X7,X0,X6] :
( ( iext(X5,X0,X6)
& iext(X5,X0,X7) )
=> X6 = X7 )
& ip(X5) )
<=> icext(uri_owl_FunctionalProperty,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f64,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| spl6_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl6_2
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f208,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f207,plain,
( $false
| spl6_1 ),
inference(subsumption_resolution,[],[f206,f55]) ).
fof(f206,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| spl6_1 ),
inference(superposition,[],[f60,f202]) ).
fof(f60,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| spl6_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl6_1
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f65,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f54,f62,f58]) ).
fof(f54,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB023+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 17:35:56 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 % (7840)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.46 % (7832)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.46 % (7840)First to succeed.
% 0.18/0.46 % (7840)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Theorem for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (7840)------------------------------
% 0.18/0.46 % (7840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (7840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (7840)Termination reason: Refutation
% 0.18/0.46
% 0.18/0.46 % (7840)Memory used [KB]: 5500
% 0.18/0.46 % (7840)Time elapsed: 0.080 s
% 0.18/0.46 % (7840)Instructions burned: 4 (million)
% 0.18/0.46 % (7840)------------------------------
% 0.18/0.46 % (7840)------------------------------
% 0.18/0.46 % (7826)Success in time 0.121 s
%------------------------------------------------------------------------------