TSTP Solution File: SWB025+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWB025+1 : 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_uns --cores 0 -t %d %s
% Computer : n016.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 18:36:35 EDT 2022
% Result : Theorem 1.36s 0.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 66 ( 21 unt; 0 def)
% Number of atoms : 392 ( 0 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 476 ( 150 ~; 149 |; 160 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 199 ( 159 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f980,plain,
$false,
inference(avatar_sat_refutation,[],[f775,f972,f979]) ).
fof(f979,plain,
spl24_1,
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| spl24_1 ),
inference(subsumption_resolution,[],[f977,f770]) ).
fof(f770,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| spl24_1 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl24_1
<=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_1])]) ).
fof(f977,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(resolution,[],[f975,f701]) ).
fof(f701,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f639]) ).
fof(f639,plain,
( iext(uri_rdf_first,sK14,sK10)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,sK13,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK12)
& iext(uri_rdf_rest,sK11,sK14)
& iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,sK11,uri_ex_hasUncle)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_first,sK12,uri_ex_hasCousin)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK13,uri_ex_hasFather)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f637,f638]) ).
fof(f638,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_first,X4,X0)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X2)
& iext(uri_rdf_rest,X1,X4)
& iext(uri_owl_inverseOf,X0,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X1)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X1,uri_ex_hasUncle)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_first,X2,uri_ex_hasCousin)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_hasFather)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) )
=> ( iext(uri_rdf_first,sK14,sK10)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,sK13,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK12)
& iext(uri_rdf_rest,sK11,sK14)
& iext(uri_owl_inverseOf,sK10,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,sK11,uri_ex_hasUncle)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_first,sK12,uri_ex_hasCousin)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK13,uri_ex_hasFather)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) ),
introduced(choice_axiom,[]) ).
fof(f637,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_first,X4,X0)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X2)
& iext(uri_rdf_rest,X1,X4)
& iext(uri_owl_inverseOf,X0,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X1)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X1,uri_ex_hasUncle)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_first,X2,uri_ex_hasCousin)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_hasFather)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
inference(rectify,[],[f562]) ).
fof(f562,plain,
? [X0,X1,X4,X3,X2] :
( iext(uri_rdf_first,X2,X0)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X4)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_owl_inverseOf,X0,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X1)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X1,uri_ex_hasUncle)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_rdf_first,X4,uri_ex_hasCousin)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_rest,X4,X3)
& iext(uri_rdf_first,X3,uri_ex_hasFather)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
inference(rectify,[],[f561]) ).
fof(f561,axiom,
? [X45,X43,X44,X42,X41] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_rdf_rest,X44,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X43)
& iext(uri_rdf_first,X42,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_rdf_first,X43,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X41)
& iext(uri_rdf_rest,X41,X42)
& iext(uri_rdf_first,X41,uri_ex_hasCousin)
& iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X44,X45)
& iext(uri_owl_inverseOf,X45,uri_ex_hasFather)
& iext(uri_rdf_rest,X43,X44)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f975,plain,
! [X1] :
( ~ iext(uri_ex_hasUncle,X1,uri_ex_dave)
| iext(uri_ex_hasCousin,X1,uri_ex_alice) ),
inference(resolution,[],[f970,f937]) ).
fof(f937,plain,
iext(sK10,uri_ex_dave,uri_ex_alice),
inference(resolution,[],[f855,f714]) ).
fof(f714,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f639]) ).
fof(f855,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasFather,X1,X0)
| iext(sK10,X0,X1) ),
inference(resolution,[],[f718,f710]) ).
fof(f710,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_hasFather),
inference(cnf_transformation,[],[f639]) ).
fof(f718,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X1,X0)
| iext(X1,X4,X5)
| ~ iext(X0,X5,X4) ),
inference(cnf_transformation,[],[f644]) ).
fof(f644,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ( ( ~ iext(X0,sK16(X0,X1),sK15(X0,X1))
| ~ iext(X1,sK15(X0,X1),sK16(X0,X1)) )
& ( iext(X0,sK16(X0,X1),sK15(X0,X1))
| iext(X1,sK15(X0,X1),sK16(X0,X1)) ) )
| ~ ip(X0) )
& ( ( ip(X1)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f642,f643]) ).
fof(f643,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK16(X0,X1),sK15(X0,X1))
| ~ iext(X1,sK15(X0,X1),sK16(X0,X1)) )
& ( iext(X0,sK16(X0,X1),sK15(X0,X1))
| iext(X1,sK15(X0,X1),sK16(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f642,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X1,X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
| ~ ip(X0) )
& ( ( ip(X1)
& ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X1,X0) ) ),
inference(rectify,[],[f641]) ).
fof(f641,plain,
! [X1,X0] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1) )
& ( ( ip(X0)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f640]) ).
fof(f640,plain,
! [X1,X0] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1) )
& ( ( ip(X0)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f568]) ).
fof(f568,plain,
! [X1,X0] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1) ) ),
inference(rectify,[],[f391]) ).
fof(f391,axiom,
! [X32,X33] :
( ( ip(X33)
& ip(X32)
& ! [X3,X6] :
( iext(X32,X3,X6)
<=> iext(X33,X6,X3) ) )
<=> iext(uri_owl_inverseOf,X32,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f970,plain,
! [X2,X0,X1] :
( ~ iext(sK10,X2,X1)
| iext(uri_ex_hasCousin,X0,X1)
| ~ iext(uri_ex_hasUncle,X0,X2) ),
inference(resolution,[],[f967,f707]) ).
fof(f707,plain,
iext(uri_rdf_first,sK11,uri_ex_hasUncle),
inference(cnf_transformation,[],[f639]) ).
fof(f967,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK11,X3)
| iext(uri_ex_hasCousin,X0,X1)
| ~ iext(X3,X0,X2)
| ~ iext(sK10,X2,X1) ),
inference(resolution,[],[f965,f715]) ).
fof(f715,plain,
iext(uri_rdf_first,sK14,sK10),
inference(cnf_transformation,[],[f639]) ).
fof(f965,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK14,X0)
| iext(uri_ex_hasCousin,X3,X2)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK11,X4)
| ~ iext(X4,X3,X1) ),
inference(resolution,[],[f963,f709]) ).
fof(f709,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11),
inference(cnf_transformation,[],[f639]) ).
fof(f963,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X3,sK11)
| ~ iext(uri_rdf_first,sK14,X5)
| ~ iext(X5,X2,X4)
| iext(X3,X1,X4)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK11,X0) ),
inference(resolution,[],[f919,f711]) ).
fof(f711,plain,
iext(uri_rdf_rest,sK11,sK14),
inference(cnf_transformation,[],[f639]) ).
fof(f919,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ iext(uri_rdf_rest,X11,sK14)
| ~ iext(X7,X8,X9)
| ~ iext(uri_rdf_first,X11,X7)
| iext(X13,X8,X12)
| ~ iext(X10,X9,X12)
| ~ iext(uri_rdf_first,sK14,X10)
| ~ iext(uri_owl_propertyChainAxiom,X13,X11) ),
inference(resolution,[],[f688,f704]) ).
fof(f704,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f639]) ).
fof(f688,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(X3,X9,X10)
| ~ iext(uri_rdf_first,X1,X0)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(X0,X10,X8)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_owl_propertyChainAxiom,X4,X2)
| iext(X4,X9,X8) ),
inference(cnf_transformation,[],[f633]) ).
fof(f633,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X4,X2)
| ~ ip(X4)
| ~ ip(X3)
| ~ ip(X0)
| ( ~ iext(X4,sK8(X0,X3,X4),sK7(X0,X3,X4))
& iext(X3,sK8(X0,X3,X4),sK9(X0,X3,X4))
& iext(X0,sK9(X0,X3,X4),sK7(X0,X3,X4)) ) )
& ( ( ip(X4)
& ip(X3)
& ip(X0)
& ! [X8,X9,X10] :
( iext(X4,X9,X8)
| ~ iext(X3,X9,X10)
| ~ iext(X0,X10,X8) ) )
| ~ iext(uri_owl_propertyChainAxiom,X4,X2) ) )
| ~ iext(uri_rdf_first,X1,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f631,f632]) ).
fof(f632,plain,
! [X0,X3,X4] :
( ? [X5,X6,X7] :
( ~ iext(X4,X6,X5)
& iext(X3,X6,X7)
& iext(X0,X7,X5) )
=> ( ~ iext(X4,sK8(X0,X3,X4),sK7(X0,X3,X4))
& iext(X3,sK8(X0,X3,X4),sK9(X0,X3,X4))
& iext(X0,sK9(X0,X3,X4),sK7(X0,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f631,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X4,X2)
| ~ ip(X4)
| ~ ip(X3)
| ~ ip(X0)
| ? [X5,X6,X7] :
( ~ iext(X4,X6,X5)
& iext(X3,X6,X7)
& iext(X0,X7,X5) ) )
& ( ( ip(X4)
& ip(X3)
& ip(X0)
& ! [X8,X9,X10] :
( iext(X4,X9,X8)
| ~ iext(X3,X9,X10)
| ~ iext(X0,X10,X8) ) )
| ~ iext(uri_owl_propertyChainAxiom,X4,X2) ) )
| ~ iext(uri_rdf_first,X1,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X1)
| ~ iext(uri_rdf_first,X2,X3) ),
inference(rectify,[],[f630]) ).
fof(f630,plain,
! [X3,X4,X0,X1,X2] :
( ( ( iext(uri_owl_propertyChainAxiom,X2,X0)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X3)
| ? [X6,X7,X5] :
( ~ iext(X2,X7,X6)
& iext(X1,X7,X5)
& iext(X3,X5,X6) ) )
& ( ( ip(X2)
& ip(X1)
& ip(X3)
& ! [X6,X7,X5] :
( iext(X2,X7,X6)
| ~ iext(X1,X7,X5)
| ~ iext(X3,X5,X6) ) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X0) ) )
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(flattening,[],[f629]) ).
fof(f629,plain,
! [X3,X4,X0,X1,X2] :
( ( ( iext(uri_owl_propertyChainAxiom,X2,X0)
| ~ ip(X2)
| ~ ip(X1)
| ~ ip(X3)
| ? [X6,X7,X5] :
( ~ iext(X2,X7,X6)
& iext(X1,X7,X5)
& iext(X3,X5,X6) ) )
& ( ( ip(X2)
& ip(X1)
& ip(X3)
& ! [X6,X7,X5] :
( iext(X2,X7,X6)
| ~ iext(X1,X7,X5)
| ~ iext(X3,X5,X6) ) )
| ~ iext(uri_owl_propertyChainAxiom,X2,X0) ) )
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(nnf_transformation,[],[f592]) ).
fof(f592,plain,
! [X3,X4,X0,X1,X2] :
( ( iext(uri_owl_propertyChainAxiom,X2,X0)
<=> ( ip(X2)
& ip(X1)
& ip(X3)
& ! [X6,X7,X5] :
( iext(X2,X7,X6)
| ~ iext(X1,X7,X5)
| ~ iext(X3,X5,X6) ) ) )
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(flattening,[],[f591]) ).
fof(f591,plain,
! [X1,X4,X2,X3,X0] :
( ( iext(uri_owl_propertyChainAxiom,X2,X0)
<=> ( ip(X1)
& ip(X3)
& ! [X5,X6,X7] :
( iext(X2,X7,X6)
| ~ iext(X1,X7,X5)
| ~ iext(X3,X5,X6) )
& ip(X2) ) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X4,X3)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(ennf_transformation,[],[f564]) ).
fof(f564,plain,
! [X1,X4,X2,X3,X0] :
( ( iext(uri_rdf_first,X0,X1)
& iext(uri_rdf_first,X4,X3)
& iext(uri_rdf_rest,X0,X4)
& iext(uri_rdf_rest,X4,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X2,X0)
<=> ( ip(X1)
& ip(X3)
& ! [X5,X6,X7] :
( ( iext(X1,X7,X5)
& iext(X3,X5,X6) )
=> iext(X2,X7,X6) )
& ip(X2) ) ) ),
inference(rectify,[],[f389]) ).
fof(f389,axiom,
! [X11,X32,X1,X33,X13] :
( ( iext(uri_rdf_first,X11,X32)
& iext(uri_rdf_first,X13,X33)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_rest,X11,X13) )
=> ( iext(uri_owl_propertyChainAxiom,X1,X11)
<=> ( ! [X26,X27,X35] :
( ( iext(X33,X26,X27)
& iext(X32,X35,X26) )
=> iext(X1,X35,X27) )
& ip(X33)
& ip(X32)
& ip(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f972,plain,
spl24_2,
inference(avatar_split_clause,[],[f971,f772]) ).
fof(f772,plain,
( spl24_2
<=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
introduced(avatar_definition,[new_symbols(naming,[spl24_2])]) ).
fof(f971,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolution,[],[f969,f708]) ).
fof(f708,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f639]) ).
fof(f969,plain,
! [X0] :
( ~ iext(uri_ex_hasFather,uri_ex_bob,X0)
| iext(uri_ex_hasUncle,uri_ex_alice,X0) ),
inference(resolution,[],[f968,f706]) ).
fof(f706,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f639]) ).
fof(f968,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_hasCousin,X0,X1)
| iext(uri_ex_hasUncle,X0,X2)
| ~ iext(uri_ex_hasFather,X1,X2) ),
inference(resolution,[],[f966,f705]) ).
fof(f705,plain,
iext(uri_rdf_first,sK12,uri_ex_hasCousin),
inference(cnf_transformation,[],[f639]) ).
fof(f966,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK12,X0)
| ~ iext(X0,X1,X3)
| ~ iext(uri_ex_hasFather,X3,X2)
| iext(uri_ex_hasUncle,X1,X2) ),
inference(resolution,[],[f964,f702]) ).
fof(f702,plain,
iext(uri_rdf_first,sK13,uri_ex_hasFather),
inference(cnf_transformation,[],[f639]) ).
fof(f964,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK13,X3)
| ~ iext(uri_rdf_first,sK12,X0)
| iext(uri_ex_hasUncle,X1,X4)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f962,f712]) ).
fof(f712,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK12),
inference(cnf_transformation,[],[f639]) ).
fof(f962,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK12)
| ~ iext(X4,X1,X5)
| ~ iext(uri_rdf_first,sK12,X4)
| ~ iext(uri_rdf_first,sK13,X3)
| ~ iext(X3,X5,X2)
| iext(X0,X1,X2) ),
inference(resolution,[],[f918,f703]) ).
fof(f703,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(cnf_transformation,[],[f639]) ).
fof(f918,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X4,sK13)
| iext(X6,X1,X5)
| ~ iext(uri_rdf_first,sK13,X3)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X6,X4)
| ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X5) ),
inference(resolution,[],[f688,f713]) ).
fof(f713,plain,
iext(uri_rdf_rest,sK13,uri_rdf_nil),
inference(cnf_transformation,[],[f639]) ).
fof(f775,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f749,f772,f768]) ).
fof(f749,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(cnf_transformation,[],[f600]) ).
fof(f600,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(ennf_transformation,[],[f560]) ).
fof(f560,negated_conjecture,
~ ( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(negated_conjecture,[],[f559]) ).
fof(f559,conjecture,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB025+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 17:58:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (29194)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.46 % (29218)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.47 % (29208)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.49 % (29208)Instruction limit reached!
% 0.19/0.49 % (29208)------------------------------
% 0.19/0.49 % (29208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (29208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (29208)Termination reason: Unknown
% 0.19/0.49 % (29208)Termination phase: Preprocessing 1
% 0.19/0.49
% 0.19/0.49 % (29208)Memory used [KB]: 2046
% 0.19/0.49 % (29208)Time elapsed: 0.004 s
% 0.19/0.49 % (29208)Instructions burned: 3 (million)
% 0.19/0.49 % (29208)------------------------------
% 0.19/0.49 % (29208)------------------------------
% 1.18/0.52 % (29218)Instruction limit reached!
% 1.18/0.52 % (29218)------------------------------
% 1.18/0.52 % (29218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.18/0.52 % (29218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.18/0.52 % (29218)Termination reason: Unknown
% 1.18/0.52 % (29218)Termination phase: Property scanning
% 1.18/0.52
% 1.18/0.52 % (29218)Memory used [KB]: 3582
% 1.18/0.52 % (29218)Time elapsed: 0.028 s
% 1.18/0.52 % (29218)Instructions burned: 52 (million)
% 1.18/0.52 % (29218)------------------------------
% 1.18/0.52 % (29218)------------------------------
% 1.18/0.52 % (29195)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.18/0.53 % (29205)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.18/0.53 % (29219)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.18/0.53 % (29207)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.18/0.53 % (29200)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.36/0.54 % (29202)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.36/0.54 % (29195)Refutation not found, incomplete strategy% (29195)------------------------------
% 1.36/0.54 % (29195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (29195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (29195)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.54
% 1.36/0.54 % (29195)Memory used [KB]: 6396
% 1.36/0.54 % (29195)Time elapsed: 0.112 s
% 1.36/0.54 % (29195)Instructions burned: 4 (million)
% 1.36/0.54 % (29195)------------------------------
% 1.36/0.54 % (29195)------------------------------
% 1.36/0.54 % (29199)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.36/0.54 % (29217)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.36/0.54 % (29203)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.36/0.54 % (29199)Refutation not found, incomplete strategy% (29199)------------------------------
% 1.36/0.54 % (29199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.54 % (29199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.54 % (29199)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.54
% 1.36/0.54 % (29199)Memory used [KB]: 2046
% 1.36/0.54 % (29199)Time elapsed: 0.127 s
% 1.36/0.54 % (29199)Instructions burned: 5 (million)
% 1.36/0.54 % (29199)------------------------------
% 1.36/0.54 % (29199)------------------------------
% 1.36/0.54 % (29197)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.55 % (29197)Refutation not found, incomplete strategy% (29197)------------------------------
% 1.36/0.55 % (29197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (29197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (29197)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.55
% 1.36/0.55 % (29197)Memory used [KB]: 6396
% 1.36/0.55 % (29197)Time elapsed: 0.128 s
% 1.36/0.55 % (29197)Instructions burned: 4 (million)
% 1.36/0.55 % (29197)------------------------------
% 1.36/0.55 % (29197)------------------------------
% 1.36/0.55 % (29196)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.55 % (29204)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.36/0.55 % (29223)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.36/0.55 % (29205)Instruction limit reached!
% 1.36/0.55 % (29205)------------------------------
% 1.36/0.55 % (29205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (29205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (29205)Termination reason: Unknown
% 1.36/0.55 % (29205)Termination phase: Saturation
% 1.36/0.55
% 1.36/0.55 % (29205)Memory used [KB]: 6524
% 1.36/0.55 % (29205)Time elapsed: 0.007 s
% 1.36/0.55 % (29205)Instructions burned: 8 (million)
% 1.36/0.55 % (29205)------------------------------
% 1.36/0.55 % (29205)------------------------------
% 1.36/0.55 % (29211)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.36/0.55 % (29222)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.36/0.55 % (29211)Instruction limit reached!
% 1.36/0.55 % (29211)------------------------------
% 1.36/0.55 % (29211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (29211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.55 % (29211)Termination reason: Unknown
% 1.36/0.55 % (29211)Termination phase: Preprocessing 1
% 1.36/0.55
% 1.36/0.55 % (29211)Memory used [KB]: 1918
% 1.36/0.55 % (29211)Time elapsed: 0.003 s
% 1.36/0.55 % (29211)Instructions burned: 3 (million)
% 1.36/0.55 % (29211)------------------------------
% 1.36/0.55 % (29211)------------------------------
% 1.36/0.55 % (29221)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.55 % (29198)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.36/0.56 % (29210)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.36/0.56 % (29209)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.36/0.56 % (29198)Refutation not found, incomplete strategy% (29198)------------------------------
% 1.36/0.56 % (29198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (29198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (29198)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.56
% 1.36/0.56 % (29198)Memory used [KB]: 6396
% 1.36/0.56 % (29198)Time elapsed: 0.003 s
% 1.36/0.56 % (29198)Instructions burned: 3 (million)
% 1.36/0.56 % (29198)------------------------------
% 1.36/0.56 % (29198)------------------------------
% 1.36/0.56 % (29220)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.56 % (29219)First to succeed.
% 1.36/0.56 % (29213)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.36/0.56 % (29200)Refutation not found, incomplete strategy% (29200)------------------------------
% 1.36/0.56 % (29200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (29200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (29200)Termination reason: Refutation not found, incomplete strategy
% 1.36/0.56
% 1.36/0.56 % (29200)Memory used [KB]: 6396
% 1.36/0.56 % (29200)Time elapsed: 0.005 s
% 1.36/0.56 % (29200)Instructions burned: 6 (million)
% 1.36/0.56 % (29200)------------------------------
% 1.36/0.56 % (29200)------------------------------
% 1.36/0.56 % (29214)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.36/0.56 % (29215)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.36/0.56 % (29212)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.36/0.56 % (29212)Instruction limit reached!
% 1.36/0.56 % (29212)------------------------------
% 1.36/0.56 % (29212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.56 % (29212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.56 % (29212)Termination reason: Unknown
% 1.36/0.56 % (29212)Termination phase: shuffling
% 1.36/0.56
% 1.36/0.56 % (29212)Memory used [KB]: 1791
% 1.36/0.56 % (29212)Time elapsed: 0.002 s
% 1.36/0.56 % (29212)Instructions burned: 2 (million)
% 1.36/0.56 % (29212)------------------------------
% 1.36/0.56 % (29212)------------------------------
% 1.36/0.57 % (29201)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.36/0.57 % (29219)Refutation found. Thanks to Tanya!
% 1.36/0.57 % SZS status Theorem for theBenchmark
% 1.36/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.36/0.57 % (29219)------------------------------
% 1.36/0.57 % (29219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.57 % (29219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.36/0.57 % (29219)Termination reason: Refutation
% 1.36/0.57
% 1.36/0.57 % (29219)Memory used [KB]: 6652
% 1.36/0.57 % (29219)Time elapsed: 0.138 s
% 1.36/0.57 % (29219)Instructions burned: 15 (million)
% 1.36/0.57 % (29219)------------------------------
% 1.36/0.57 % (29219)------------------------------
% 1.36/0.57 % (29193)Success in time 0.212 s
%------------------------------------------------------------------------------