TSTP Solution File: SWB025+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n002.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 : Tue Apr 30 15:42:05 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 27 unt; 0 def)
% Number of atoms : 354 ( 0 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 395 ( 121 ~; 118 |; 138 &)
% ( 13 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 197 ( 167 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311,plain,
$false,
inference(subsumption_resolution,[],[f307,f274]) ).
fof(f274,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolution,[],[f263,f67]) ).
fof(f67,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,sK13,uri_ex_hasFather)
& iext(uri_rdf_rest,sK12,uri_rdf_nil)
& iext(uri_rdf_first,sK12,sK13)
& iext(uri_rdf_rest,sK11,sK12)
& iext(uri_rdf_first,sK11,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11)
& iext(uri_rdf_rest,sK10,uri_rdf_nil)
& iext(uri_rdf_first,sK10,uri_ex_hasFather)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK9,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f7,f32]) ).
fof(f32,plain,
( ? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0) )
=> ( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,sK13,uri_ex_hasFather)
& iext(uri_rdf_rest,sK12,uri_rdf_nil)
& iext(uri_rdf_first,sK12,sK13)
& iext(uri_rdf_rest,sK11,sK12)
& iext(uri_rdf_first,sK11,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11)
& iext(uri_rdf_rest,sK10,uri_rdf_nil)
& iext(uri_rdf_first,sK10,uri_ex_hasFather)
& iext(uri_rdf_rest,sK9,sK10)
& iext(uri_rdf_first,sK9,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f7,plain,
? [X0,X1,X2,X3,X4] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X4,uri_ex_hasFather)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
? [X10,X11,X12,X13,X14] :
( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_owl_inverseOf,X14,uri_ex_hasFather)
& iext(uri_rdf_rest,X13,uri_rdf_nil)
& iext(uri_rdf_first,X13,X14)
& iext(uri_rdf_rest,X12,X13)
& iext(uri_rdf_first,X12,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X12)
& iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,uri_ex_hasFather)
& iext(uri_rdf_rest,X10,X11)
& iext(uri_rdf_first,X10,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f263,plain,
! [X0] :
( ~ iext(uri_ex_hasCousin,X0,uri_ex_bob)
| iext(uri_ex_hasUncle,X0,uri_ex_charly) ),
inference(resolution,[],[f260,f68]) ).
fof(f68,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f33]) ).
fof(f260,plain,
! [X2,X0,X1] :
( ~ iext(uri_ex_hasFather,X0,X1)
| ~ iext(uri_ex_hasCousin,X2,X0)
| iext(uri_ex_hasUncle,X2,X1) ),
inference(resolution,[],[f256,f50]) ).
fof(f50,plain,
! [X2,X0,X1,X8,X6,X7] :
( ~ sP1(X0,X1,X2)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7)
| iext(X0,X6,X8) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( ~ iext(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& iext(X1,sK7(X0,X1,X2),sK8(X0,X1,X2))
& iext(X2,sK6(X0,X1,X2),sK7(X0,X1,X2)) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f29,f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) )
=> ( ~ iext(X0,sK6(X0,X1,X2),sK8(X0,X1,X2))
& iext(X1,sK7(X0,X1,X2),sK8(X0,X1,X2))
& iext(X2,sK6(X0,X1,X2),sK7(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3,X4,X5] :
( ~ iext(X0,X3,X5)
& iext(X1,X4,X5)
& iext(X2,X3,X4) ) )
& ( ! [X6,X7,X8] :
( iext(X0,X6,X8)
| ~ iext(X1,X7,X8)
| ~ iext(X2,X6,X7) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0,X4,X2] :
( ( sP1(X0,X4,X2)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) ) )
& ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
| ~ sP1(X0,X4,X2) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X4,X2] :
( sP1(X0,X4,X2)
<=> ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f256,plain,
sP1(uri_ex_hasUncle,uri_ex_hasFather,uri_ex_hasCousin),
inference(resolution,[],[f254,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| sP1(X2,X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ~ sP1(X2,X1,X0)
| ~ ip(X1)
| ~ ip(X0)
| ~ ip(X2) )
& ( ( sP1(X2,X1,X0)
& ip(X1)
& ip(X0)
& ip(X2) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X4,X0] :
( ( sP2(X2,X4,X0)
| ~ sP1(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP2(X2,X4,X0) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X2,X4,X0] :
( ( sP2(X2,X4,X0)
| ~ sP1(X0,X4,X2)
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ sP2(X2,X4,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X2,X4,X0] :
( sP2(X2,X4,X0)
<=> ( sP1(X0,X4,X2)
& ip(X4)
& ip(X2)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f254,plain,
sP2(uri_ex_hasCousin,uri_ex_hasFather,uri_ex_hasUncle),
inference(resolution,[],[f253,f55]) ).
fof(f55,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK9),
inference(cnf_transformation,[],[f33]) ).
fof(f253,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK9)
| sP2(uri_ex_hasCousin,uri_ex_hasFather,X0) ),
inference(resolution,[],[f251,f43]) ).
fof(f43,plain,
! [X2,X3,X0,X1] :
( ~ sP3(X0,X1,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X3)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X3) ) )
| ~ sP3(X0,X1,X2,X3) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X4,X2,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP2(X2,X4,X0) )
& ( sP2(X2,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP3(X0,X4,X2,X1) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X4,X2,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP2(X2,X4,X0) )
| ~ sP3(X0,X4,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f251,plain,
! [X0] : sP3(X0,uri_ex_hasFather,uri_ex_hasCousin,sK9),
inference(resolution,[],[f250,f56]) ).
fof(f56,plain,
iext(uri_rdf_first,sK9,uri_ex_hasCousin),
inference(cnf_transformation,[],[f33]) ).
fof(f250,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK9,X1)
| sP3(X0,uri_ex_hasFather,X1,sK9) ),
inference(resolution,[],[f249,f57]) ).
fof(f57,plain,
iext(uri_rdf_rest,sK9,sK10),
inference(cnf_transformation,[],[f33]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK10)
| sP3(X0,uri_ex_hasFather,X1,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f247,f58]) ).
fof(f58,plain,
iext(uri_rdf_first,sK10,uri_ex_hasFather),
inference(cnf_transformation,[],[f33]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK10,X1)
| sP3(X0,X1,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK10)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(resolution,[],[f54,f59]) ).
fof(f59,plain,
iext(uri_rdf_rest,sK10,uri_rdf_nil),
inference(cnf_transformation,[],[f33]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| sP3(X0,X4,X2,X1)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( sP3(X0,X4,X2,X1)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f10,f15,f14,f13]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f307,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolution,[],[f306,f34]) ).
fof(f34,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,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,[],[f3]) ).
fof(f3,conjecture,
( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f306,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(resolution,[],[f294,f69]) ).
fof(f69,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f33]) ).
fof(f294,plain,
! [X0] :
( ~ iext(uri_ex_hasUncle,X0,uri_ex_dave)
| iext(uri_ex_hasCousin,X0,uri_ex_alice) ),
inference(resolution,[],[f292,f104]) ).
fof(f104,plain,
iext(sK13,uri_ex_dave,uri_ex_alice),
inference(resolution,[],[f101,f72]) ).
fof(f72,plain,
sP0(uri_ex_hasFather,sK13),
inference(resolution,[],[f41,f65]) ).
fof(f65,plain,
iext(uri_owl_inverseOf,sK13,uri_ex_hasFather),
inference(cnf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP0(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP0(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ sP0(X1,X0)
| ~ ip(X1)
| ~ ip(X0) )
& ( ( sP0(X1,X0)
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( sP0(X1,X0)
& ip(X1)
& ip(X0) ) ),
inference(definition_folding,[],[f6,f11]) ).
fof(f11,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X4] :
( iext(uri_owl_inverseOf,X2,X4)
<=> ( ! [X8,X9] :
( iext(X2,X8,X9)
<=> iext(X4,X9,X8) )
& ip(X4)
& ip(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f101,plain,
! [X0] :
( ~ sP0(uri_ex_hasFather,X0)
| iext(X0,uri_ex_dave,uri_ex_alice) ),
inference(resolution,[],[f36,f66]) ).
fof(f66,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f33]) ).
fof(f36,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X5,X4)
| iext(X1,X4,X5)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ iext(X0,sK5(X0,X1),sK4(X0,X1))
| ~ iext(X1,sK4(X0,X1),sK5(X0,X1)) )
& ( iext(X0,sK5(X0,X1),sK4(X0,X1))
| iext(X1,sK4(X0,X1),sK5(X0,X1)) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) )
=> ( ( ~ iext(X0,sK5(X0,X1),sK4(X0,X1))
| ~ iext(X1,sK4(X0,X1),sK5(X0,X1)) )
& ( iext(X0,sK5(X0,X1),sK4(X0,X1))
| iext(X1,sK4(X0,X1),sK5(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ( ~ iext(X0,X3,X2)
| ~ iext(X1,X2,X3) )
& ( iext(X0,X3,X2)
| iext(X1,X2,X3) ) ) )
& ( ! [X4,X5] :
( ( iext(X1,X4,X5)
| ~ iext(X0,X5,X4) )
& ( iext(X0,X5,X4)
| ~ iext(X1,X4,X5) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ iext(sK13,X0,X1)
| ~ iext(uri_ex_hasUncle,X2,X0)
| iext(uri_ex_hasCousin,X2,X1) ),
inference(resolution,[],[f288,f50]) ).
fof(f288,plain,
sP1(uri_ex_hasCousin,sK13,uri_ex_hasUncle),
inference(resolution,[],[f286,f48]) ).
fof(f286,plain,
sP2(uri_ex_hasUncle,sK13,uri_ex_hasCousin),
inference(resolution,[],[f281,f60]) ).
fof(f60,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK11),
inference(cnf_transformation,[],[f33]) ).
fof(f281,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK11)
| sP2(uri_ex_hasUncle,sK13,X0) ),
inference(resolution,[],[f279,f43]) ).
fof(f279,plain,
! [X0] : sP3(X0,sK13,uri_ex_hasUncle,sK11),
inference(resolution,[],[f278,f61]) ).
fof(f61,plain,
iext(uri_rdf_first,sK11,uri_ex_hasUncle),
inference(cnf_transformation,[],[f33]) ).
fof(f278,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK11,X1)
| sP3(X0,sK13,X1,sK11) ),
inference(resolution,[],[f277,f62]) ).
fof(f62,plain,
iext(uri_rdf_rest,sK11,sK12),
inference(cnf_transformation,[],[f33]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X2,sK12)
| sP3(X0,sK13,X1,X2)
| ~ iext(uri_rdf_first,X2,X1) ),
inference(resolution,[],[f248,f63]) ).
fof(f63,plain,
iext(uri_rdf_first,sK12,sK13),
inference(cnf_transformation,[],[f33]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK12,X1)
| sP3(X0,X1,X2,X3)
| ~ iext(uri_rdf_rest,X3,sK12)
| ~ iext(uri_rdf_first,X3,X2) ),
inference(resolution,[],[f54,f64]) ).
fof(f64,plain,
iext(uri_rdf_rest,sK12,uri_rdf_nil),
inference(cnf_transformation,[],[f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB025+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n002.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 Apr 30 02:39:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (18019)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (18023)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 % (18021)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (18022)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (18024)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (18020)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (18025)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (18026)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [1]
% 0.13/0.38 % (18024)First to succeed.
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.38 % (18024)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (18024)------------------------------
% 0.13/0.38 % (18024)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.38 % (18024)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (18024)Memory used [KB]: 852
% 0.13/0.38 % (18024)Time elapsed: 0.009 s
% 0.13/0.38 % (18024)Instructions burned: 15 (million)
% 0.13/0.38 % (18024)------------------------------
% 0.13/0.38 % (18024)------------------------------
% 0.13/0.38 % (18019)Success in time 0.009 s
%------------------------------------------------------------------------------