TSTP Solution File: SWB031+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWB031+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 : n023.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 18:37:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 230 ( 30 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 274 ( 91 ~; 96 |; 68 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 102 ( 86 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f223,plain,
$false,
inference(subsumption_resolution,[],[f195,f159]) ).
fof(f159,plain,
! [X0,X1] : icext(X0,X1),
inference(superposition,[],[f106,f94]) ).
fof(f94,plain,
! [X0] : uri_ex_w = X0,
inference(resolution,[],[f58,f43]) ).
fof(f43,plain,
iext(uri_rdf_first,sK3,uri_ex_w),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
( iext(uri_owl_oneOf,sK2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f24,f25]) ).
fof(f25,plain,
( ? [X0,X1] :
( iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) )
=> ( iext(uri_owl_oneOf,sK2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_w)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
? [X0,X1] :
( iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,plain,
? [X1,X0] :
( iext(uri_owl_oneOf,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_w)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
? [X7,X6] :
( iext(uri_owl_oneOf,X6,X7)
& iext(uri_rdf_rest,X7,uri_rdf_nil)
& iext(uri_rdf_first,X7,uri_ex_w)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f58,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| X0 = X1 ),
inference(subsumption_resolution,[],[f57,f51]) ).
fof(f51,plain,
! [X0] : icext(sK2,X0),
inference(subsumption_resolution,[],[f50,f34]) ).
fof(f34,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
fof(f50,plain,
! [X0] :
( ~ ir(X0)
| icext(sK2,X0) ),
inference(resolution,[],[f48,f28]) ).
fof(f28,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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] :
( ir(X0)
<=> icext(uri_owl_Thing,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f48,plain,
! [X0] :
( ~ icext(uri_owl_Thing,X0)
| icext(sK2,X0) ),
inference(resolution,[],[f38,f41]) ).
fof(f41,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( ( ic(X0)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) )
& ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ( ( ~ icext(X1,sK1(X0,X1))
| ~ icext(X0,sK1(X0,X1)) )
& ( icext(X1,sK1(X0,X1))
| icext(X0,sK1(X0,X1)) ) )
| ~ ic(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X1,X3)
| icext(X0,X3) ) )
=> ( ( ~ icext(X1,sK1(X0,X1))
| ~ icext(X0,sK1(X0,X1)) )
& ( icext(X1,sK1(X0,X1))
| icext(X0,sK1(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( ( ic(X0)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) )
& ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( ~ icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X1,X3)
| icext(X0,X3) ) )
| ~ ic(X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ( ic(X0)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) )
& ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( ( ic(X0)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) )
& ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( ic(X0)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1) )
<=> iext(uri_owl_equivalentClass,X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X5] :
( iext(uri_owl_equivalentClass,X4,X5)
<=> ( ! [X0] :
( icext(X5,X0)
<=> icext(X4,X0) )
& ic(X4)
& ic(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f57,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| ~ icext(sK2,X1)
| X0 = X1 ),
inference(subsumption_resolution,[],[f56,f42]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil)
| ~ icext(sK2,X1) ),
inference(resolution,[],[f29,f44]) ).
fof(f44,plain,
iext(uri_owl_oneOf,sK2,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f29,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X2,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| X1 = X4
| ~ iext(uri_rdf_first,X0,X1)
| ~ icext(X2,X4) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,X0,X1)
| ( ( iext(uri_owl_oneOf,X2,X0)
| ~ ic(X2)
| ( ( sK0(X1,X2) != X1
| ~ icext(X2,sK0(X1,X2)) )
& ( sK0(X1,X2) = X1
| icext(X2,sK0(X1,X2)) ) ) )
& ( ( ic(X2)
& ! [X4] :
( ( icext(X2,X4)
| X1 != X4 )
& ( X1 = X4
| ~ icext(X2,X4) ) ) )
| ~ iext(uri_owl_oneOf,X2,X0) ) )
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f17]) ).
fof(f17,plain,
! [X1,X2] :
( ? [X3] :
( ( X1 != X3
| ~ icext(X2,X3) )
& ( X1 = X3
| icext(X2,X3) ) )
=> ( ( sK0(X1,X2) != X1
| ~ icext(X2,sK0(X1,X2)) )
& ( sK0(X1,X2) = X1
| icext(X2,sK0(X1,X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_first,X0,X1)
| ( ( iext(uri_owl_oneOf,X2,X0)
| ~ ic(X2)
| ? [X3] :
( ( X1 != X3
| ~ icext(X2,X3) )
& ( X1 = X3
| icext(X2,X3) ) ) )
& ( ( ic(X2)
& ! [X4] :
( ( icext(X2,X4)
| X1 != X4 )
& ( X1 = X4
| ~ icext(X2,X4) ) ) )
| ~ iext(uri_owl_oneOf,X2,X0) ) )
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_first,X2,X1)
| ( ( iext(uri_owl_oneOf,X0,X2)
| ~ ic(X0)
| ? [X3] :
( ( X1 != X3
| ~ icext(X0,X3) )
& ( X1 = X3
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X1 != X3 )
& ( X1 = X3
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X2) ) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_first,X2,X1)
| ( ( iext(uri_owl_oneOf,X0,X2)
| ~ ic(X0)
| ? [X3] :
( ( X1 != X3
| ~ icext(X0,X3) )
& ( X1 = X3
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X1 != X3 )
& ( X1 = X3
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X2) ) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X2,X1,X0] :
( ~ iext(uri_rdf_first,X2,X1)
| ( iext(uri_owl_oneOf,X0,X2)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X1 = X3 ) ) )
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X2)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X1 = X3 ) ) )
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
! [X2,X0,X1] :
( ( iext(uri_rdf_first,X2,X1)
& iext(uri_rdf_rest,X2,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X2)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X1 = X3 ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X3,X2] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3) )
=> ( iext(uri_owl_oneOf,X1,X2)
<=> ( ic(X1)
& ! [X0] :
( icext(X1,X0)
<=> X0 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f106,plain,
! [X0] : icext(uri_ex_w,X0),
inference(backward_demodulation,[],[f51,f94]) ).
fof(f195,plain,
! [X0,X1] : ~ icext(X0,X1),
inference(superposition,[],[f27,f121]) ).
fof(f121,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f94,f94]) ).
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/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWB031+2 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:01:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (7689)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (7697)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.50 % (7697)First to succeed.
% 0.20/0.51 % (7697)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (7697)------------------------------
% 0.20/0.51 % (7697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (7697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (7697)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (7697)Memory used [KB]: 5500
% 0.20/0.51 % (7697)Time elapsed: 0.077 s
% 0.20/0.51 % (7697)Instructions burned: 5 (million)
% 0.20/0.51 % (7697)------------------------------
% 0.20/0.51 % (7697)------------------------------
% 0.20/0.51 % (7667)Success in time 0.152 s
%------------------------------------------------------------------------------