TSTP Solution File: SWB031+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWB031+2 : 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 : n011.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 : Thu Aug 31 20:13:50 EDT 2023
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 13 unt; 0 def)
% Number of atoms : 240 ( 33 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 293 ( 102 ~; 107 |; 65 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 107 (; 93 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f407,plain,
$false,
inference(resolution,[],[f207,f54]) ).
fof(f54,plain,
icext(sK2,uri_ex_w),
inference(resolution,[],[f53,f42]) ).
fof(f42,plain,
iext(uri_rdf_first,sK3,uri_ex_w),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_owl_oneOf,sK2,sK3)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f9,f24]) ).
fof(f24,plain,
( ? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) )
=> ( iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_owl_oneOf,sK2,sK3)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
? [X6,X7] :
( iext(uri_rdf_rest,X7,uri_rdf_nil)
& iext(uri_rdf_first,X7,uri_ex_w)
& iext(uri_owl_oneOf,X6,X7)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X6) ),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',testcase_premise_fullish_031_Large_Universe) ).
fof(f53,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(sK2,X0) ),
inference(resolution,[],[f52,f41]) ).
fof(f41,plain,
iext(uri_owl_oneOf,sK2,sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f52,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK3)
| icext(X0,X1)
| ~ iext(uri_rdf_first,sK3,X1) ),
inference(resolution,[],[f44,f43]) ).
fof(f43,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X4)
| ~ iext(uri_rdf_first,X1,X4) ),
inference(equality_resolution,[],[f37]) ).
fof(f37,plain,
! [X2,X0,X1,X4] :
( icext(X0,X4)
| X2 != X4
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ( ( sK1(X0,X2) != X2
| ~ icext(X0,sK1(X0,X2)) )
& ( sK1(X0,X2) = X2
| icext(X0,sK1(X0,X2)) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f22]) ).
fof(f22,plain,
! [X0,X2] :
( ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
=> ( ( sK1(X0,X2) != X2
| ~ icext(X0,sK1(X0,X2)) )
& ( sK1(X0,X2) = X2
| icext(X0,sK1(X0,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) )
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
& ic(X0) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,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,[],[f12]) ).
fof(f12,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,[],[f8]) ).
fof(f8,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,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X3] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3) )
=> ( iext(uri_owl_oneOf,X1,X2)
<=> ( ! [X0] :
( icext(X1,X0)
<=> X0 = X3 )
& ic(X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',owl_enum_class_001) ).
fof(f207,plain,
! [X21,X20] : ~ icext(X20,X21),
inference(superposition,[],[f27,f111]) ).
fof(f111,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f110,f110]) ).
fof(f110,plain,
! [X0] : uri_ex_w = X0,
inference(resolution,[],[f109,f26]) ).
fof(f26,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',simple_ir) ).
fof(f109,plain,
! [X1] :
( ~ ir(X1)
| uri_ex_w = X1 ),
inference(resolution,[],[f104,f28]) ).
fof(f28,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ir(X0)
=> icext(uri_owl_Thing,X0) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',owl_class_thing_ext) ).
fof(f104,plain,
! [X0] :
( ~ icext(uri_owl_Thing,X0)
| uri_ex_w = X0 ),
inference(resolution,[],[f103,f48]) ).
fof(f48,plain,
! [X0] :
( icext(sK2,X0)
| ~ icext(uri_owl_Thing,X0) ),
inference(resolution,[],[f31,f40]) ).
fof(f40,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK2),
inference(cnf_transformation,[],[f25]) ).
fof(f31,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ( ( ~ icext(X1,sK0(X0,X1))
| ~ icext(X0,sK0(X0,X1)) )
& ( icext(X1,sK0(X0,X1))
| icext(X0,sK0(X0,X1)) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
=> ( ( ~ icext(X1,sK0(X0,X1))
| ~ icext(X0,sK0(X0,X1)) )
& ( icext(X1,sK0(X0,X1))
| icext(X0,sK0(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X5] :
( iext(uri_owl_equivalentClass,X4,X5)
<=> ( ! [X0] :
( icext(X4,X0)
<=> icext(X5,X0) )
& ic(X5)
& ic(X4) ) ),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',owl_eqdis_equivalentclass) ).
fof(f103,plain,
! [X0] :
( ~ icext(sK2,X0)
| uri_ex_w = X0 ),
inference(resolution,[],[f102,f42]) ).
fof(f102,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X1)
| X0 = X1
| ~ icext(sK2,X0) ),
inference(resolution,[],[f101,f41]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK3)
| ~ icext(X0,X1)
| X1 = X2
| ~ iext(uri_rdf_first,sK3,X2) ),
inference(resolution,[],[f36,f43]) ).
fof(f36,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ icext(X0,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f27,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ icext(uri_owl_Nothing,X0),
file('/export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872',owl_class_nothing_ext) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Aug 27 06:18:09 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_UNS_RFO_SEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.dwwGMGoGJ1/Vampire---4.8_872
% 0.15/0.37 % (1151)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (1157)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.44 % (1160)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.44 % (1160)Refutation not found, incomplete strategy% (1160)------------------------------
% 0.22/0.44 % (1160)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44 % (1160)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44 % (1160)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (1160)Memory used [KB]: 895
% 0.22/0.44 % (1160)Time elapsed: 0.003 s
% 0.22/0.44 % (1160)------------------------------
% 0.22/0.44 % (1160)------------------------------
% 0.22/0.44 % (1159)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.44 % (1154)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.44 % (1155)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.44 % (1161)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.44 % (1159)First to succeed.
% 0.22/0.45 % (1162)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.22/0.45 % (1159)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (1159)------------------------------
% 0.22/0.45 % (1159)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (1159)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (1159)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (1159)Memory used [KB]: 1023
% 0.22/0.45 % (1159)Time elapsed: 0.009 s
% 0.22/0.45 % (1159)------------------------------
% 0.22/0.45 % (1159)------------------------------
% 0.22/0.45 % (1151)Success in time 0.071 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------