TSTP Solution File: SWB025+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : 600s
% DateTime : Tue Jul 19 19:15:28 EDT 2022
% Result : Theorem 4.77s 4.94s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 96 ( 41 unt; 0 def)
% Number of atoms : 489 ( 0 equ)
% Maximal formula atoms : 53 ( 5 avg)
% Number of connectives : 678 ( 285 ~; 272 |; 106 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 17 con; 0-3 aty)
% Number of variables : 235 ( 0 sgn 76 !; 31 ?)
% Comments :
%------------------------------------------------------------------------------
fof(owl_chain_002,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_first,S1,P1)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S2,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ip(P)
& ip(P1)
& ip(P2)
& ! [Y0,Y1,Y2] :
( ( iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) )
=> iext(P,Y0,Y2) ) ) ) ) ).
fof(owl_inv,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ) ).
fof(testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ) ).
fof(testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties,axiom,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ) ).
fof(subgoal_0,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(strip,[],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(subgoal_1,plain,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(strip,[],[testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(negate_0_0,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) ),
inference(canonicalize,[],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(normalize_0_1,plain,
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_6,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_9,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(canonicalize,[],[owl_chain_002]) ).
fof(normalize_0_10,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P1) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P2) )
& ( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) )
& ( ~ iext(P,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y1(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_Y1(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( ~ iext(X_2323,X_2327,X_2328)
| ~ iext(X_2324,X_2328,X_2329)
| ~ iext(uri_owl_propertyChainAxiom,X_2322,X_2325)
| ~ iext(uri_rdf_first,X_2325,X_2323)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2324)
| ~ iext(uri_rdf_rest,X_2325,skolemFOFtoCNF_BNODE_l12)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
| iext(X_2322,X_2327,X_2329) ),
inference(subst,[],[refute_0_7:[bind(P,$fot(X_2322)),bind(P1,$fot(X_2323)),bind(P2,$fot(X_2324)),bind(S1,$fot(X_2325)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l12)),bind(Y0,$fot(X_2327)),bind(Y1,$fot(X_2328)),bind(Y2,$fot(X_2329))]]) ).
cnf(refute_0_9,plain,
( ~ iext(X_2323,X_2327,X_2328)
| ~ iext(X_2324,X_2328,X_2329)
| ~ iext(uri_owl_propertyChainAxiom,X_2322,X_2325)
| ~ iext(uri_rdf_first,X_2325,X_2323)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2324)
| ~ iext(uri_rdf_rest,X_2325,skolemFOFtoCNF_BNODE_l12)
| iext(X_2322,X_2327,X_2329) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ iext(X_2905,X_2908,X_2909)
| ~ iext(X_2906,X_2909,X_2910)
| ~ iext(uri_owl_propertyChainAxiom,X_2904,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_2905)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2906)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
| iext(X_2904,X_2908,X_2910) ),
inference(subst,[],[refute_0_9:[bind(X_2322,$fot(X_2904)),bind(X_2323,$fot(X_2905)),bind(X_2324,$fot(X_2906)),bind(X_2325,$fot(skolemFOFtoCNF_BNODE_l11)),bind(X_2327,$fot(X_2908)),bind(X_2328,$fot(X_2909)),bind(X_2329,$fot(X_2910))]]) ).
cnf(refute_0_11,plain,
( ~ iext(X_2905,X_2908,X_2909)
| ~ iext(X_2906,X_2909,X_2910)
| ~ iext(uri_owl_propertyChainAxiom,X_2904,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_2905)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,X_2906)
| iext(X_2904,X_2908,X_2910) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12) )],[refute_0_5,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ iext(X_3386,X_3388,X_3389)
| ~ iext(uri_ex_hasFather,X_3389,X_3390)
| ~ iext(uri_owl_propertyChainAxiom,X_3385,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_3386)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather)
| iext(X_3385,X_3388,X_3390) ),
inference(subst,[],[refute_0_11:[bind(X_2904,$fot(X_3385)),bind(X_2905,$fot(X_3386)),bind(X_2906,$fot(uri_ex_hasFather)),bind(X_2908,$fot(X_3388)),bind(X_2909,$fot(X_3389)),bind(X_2910,$fot(X_3390))]]) ).
cnf(refute_0_13,plain,
( ~ iext(X_3386,X_3388,X_3389)
| ~ iext(uri_ex_hasFather,X_3389,X_3390)
| ~ iext(uri_owl_propertyChainAxiom,X_3385,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,X_3386)
| iext(X_3385,X_3388,X_3390) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ iext(uri_ex_hasCousin,X_3448,X_3449)
| ~ iext(uri_ex_hasFather,X_3449,X_3450)
| ~ iext(uri_owl_propertyChainAxiom,X_3446,skolemFOFtoCNF_BNODE_l11)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin)
| iext(X_3446,X_3448,X_3450) ),
inference(subst,[],[refute_0_13:[bind(X_3385,$fot(X_3446)),bind(X_3386,$fot(uri_ex_hasCousin)),bind(X_3388,$fot(X_3448)),bind(X_3389,$fot(X_3449)),bind(X_3390,$fot(X_3450))]]) ).
cnf(refute_0_15,plain,
( ~ iext(uri_ex_hasCousin,X_3448,X_3449)
| ~ iext(uri_ex_hasFather,X_3449,X_3450)
| ~ iext(uri_owl_propertyChainAxiom,X_3446,skolemFOFtoCNF_BNODE_l11)
| iext(X_3446,X_3448,X_3450) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin) )],[refute_0_3,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ iext(uri_ex_hasCousin,X_3464,X_3465)
| ~ iext(uri_ex_hasFather,X_3465,X_3466)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11)
| iext(uri_ex_hasUncle,X_3464,X_3466) ),
inference(subst,[],[refute_0_15:[bind(X_3446,$fot(uri_ex_hasUncle)),bind(X_3448,$fot(X_3464)),bind(X_3449,$fot(X_3465)),bind(X_3450,$fot(X_3466))]]) ).
cnf(refute_0_17,plain,
( ~ iext(uri_ex_hasCousin,X_3464,X_3465)
| ~ iext(uri_ex_hasFather,X_3465,X_3466)
| iext(uri_ex_hasUncle,X_3464,X_3466) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11) )],[refute_0_2,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ iext(uri_ex_hasCousin,X_3467,uri_ex_bob)
| ~ iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
| iext(uri_ex_hasUncle,X_3467,uri_ex_charly) ),
inference(subst,[],[refute_0_17:[bind(X_3464,$fot(X_3467)),bind(X_3465,$fot(uri_ex_bob)),bind(X_3466,$fot(uri_ex_charly))]]) ).
cnf(refute_0_19,plain,
( ~ iext(uri_ex_hasCousin,X_3467,uri_ex_bob)
| iext(uri_ex_hasUncle,X_3467,uri_ex_charly) ),
inference(resolve,[$cnf( iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly) )],[refute_0_1,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
| iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(subst,[],[refute_0_19:[bind(X_3467,$fot(uri_ex_alice))]]) ).
cnf(refute_0_21,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolve,[$cnf( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) )],[refute_0_0,refute_0_20]) ).
cnf(refute_0_22,plain,
~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) )],[refute_0_21,refute_0_22]) ).
fof(negate_1_0,plain,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil) ),
inference(canonicalize,[],[testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties]) ).
fof(normalize_1_1,plain,
( iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob)
& iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
& iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly)
& iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
& iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,skolemFOFtoCNF_BNODE_l11)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l11,uri_ex_hasCousin)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle)
& iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l11,skolemFOFtoCNF_BNODE_l12)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
& iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_4,plain,
! [P1,P2] :
( ~ iext(uri_owl_inverseOf,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( ~ iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(canonicalize,[],[owl_inv]) ).
fof(normalize_1_5,plain,
! [P1,P2] :
( ~ iext(uri_owl_inverseOf,P1,P2)
<=> ( ~ ip(P1)
| ~ ip(P2)
| ? [X,Y] :
( ~ iext(P1,X,Y)
<=> iext(P2,Y,X) ) ) ),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [P1,P2,X,Y] :
( ( ~ iext(uri_owl_inverseOf,P1,P2)
| ip(P1) )
& ( ~ iext(uri_owl_inverseOf,P1,P2)
| ip(P2) )
& ( ~ iext(P1,X,Y)
| ~ iext(uri_owl_inverseOf,P1,P2)
| iext(P2,Y,X) )
& ( ~ iext(P2,Y,X)
| ~ iext(uri_owl_inverseOf,P1,P2)
| iext(P1,X,Y) )
& ( ~ iext(P1,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| ~ iext(P2,skolemFOFtoCNF_Y(P1,P2),skolemFOFtoCNF_X(P1,P2))
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_X(P1,P2),skolemFOFtoCNF_Y(P1,P2))
| iext(P2,skolemFOFtoCNF_Y(P1,P2),skolemFOFtoCNF_X(P1,P2))
| iext(uri_owl_inverseOf,P1,P2) ) ),
inference(clausify,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [P1,P2,X,Y] :
( ~ iext(P2,Y,X)
| ~ iext(uri_owl_inverseOf,P1,P2)
| iext(P1,X,Y) ),
inference(conjunct,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_9,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_11,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_13,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_14,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(canonicalize,[],[owl_chain_002]) ).
fof(normalize_1_15,plain,
! [P,P1,P2,S1,S2] :
( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P1,Y0,Y1)
& iext(P2,Y1,Y2) ) ) ) ),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P1) )
& ( ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ip(P2) )
& ( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) )
& ( ~ iext(P,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P1,skolemFOFtoCNF_Y0(P,P1,P2),skolemFOFtoCNF_Y1(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ ip(P)
| ~ ip(P1)
| ~ ip(P2)
| iext(P2,skolemFOFtoCNF_Y1(P,P1,P2),skolemFOFtoCNF_Y2(P,P1,P2))
| iext(uri_owl_propertyChainAxiom,P,S1) ) ),
inference(clausify,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [P,P1,P2,S1,S2,Y0,Y1,Y2] :
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
& iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_19,plain,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(conjunct,[],[normalize_1_18]) ).
cnf(refute_1_0,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
( ~ iext(P2,Y,X)
| ~ iext(uri_owl_inverseOf,P1,P2)
| iext(P1,X,Y) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_3,plain,
( ~ iext(uri_ex_hasFather,X_3502,X_3501)
| ~ iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather)
| iext(skolemFOFtoCNF_BNODE_l3,X_3501,X_3502) ),
inference(subst,[],[refute_1_2:[bind(P1,$fot(skolemFOFtoCNF_BNODE_l3)),bind(P2,$fot(uri_ex_hasFather)),bind(X,$fot(X_3501)),bind(Y,$fot(X_3502))]]) ).
cnf(refute_1_4,plain,
( ~ iext(uri_ex_hasFather,X_3502,X_3501)
| iext(skolemFOFtoCNF_BNODE_l3,X_3501,X_3502) ),
inference(resolve,[$cnf( iext(uri_owl_inverseOf,skolemFOFtoCNF_BNODE_l3,uri_ex_hasFather) )],[refute_1_1,refute_1_3]) ).
cnf(refute_1_5,plain,
( ~ iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave)
| iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,uri_ex_alice) ),
inference(subst,[],[refute_1_4:[bind(X_3501,$fot(uri_ex_dave)),bind(X_3502,$fot(uri_ex_alice))]]) ).
cnf(refute_1_6,plain,
iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,uri_ex_alice),
inference(resolve,[$cnf( iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave) )],[refute_1_0,refute_1_5]) ).
cnf(refute_1_7,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_8,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_9,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_10,plain,
iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3),
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_11,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_12,plain,
iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_13,plain,
( ~ iext(P1,Y0,Y1)
| ~ iext(P2,Y1,Y2)
| ~ iext(uri_owl_propertyChainAxiom,P,S1)
| ~ iext(uri_rdf_first,S1,P1)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| iext(P,Y0,Y2) ),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_14,plain,
( ~ iext(X_5794,X_5798,X_5799)
| ~ iext(X_5795,X_5799,X_5800)
| ~ iext(uri_owl_propertyChainAxiom,X_5793,X_5796)
| ~ iext(uri_rdf_first,X_5796,X_5794)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,X_5795)
| ~ iext(uri_rdf_rest,X_5796,skolemFOFtoCNF_BNODE_l22)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil)
| iext(X_5793,X_5798,X_5800) ),
inference(subst,[],[refute_1_13:[bind(P,$fot(X_5793)),bind(P1,$fot(X_5794)),bind(P2,$fot(X_5795)),bind(S1,$fot(X_5796)),bind(S2,$fot(skolemFOFtoCNF_BNODE_l22)),bind(Y0,$fot(X_5798)),bind(Y1,$fot(X_5799)),bind(Y2,$fot(X_5800))]]) ).
cnf(refute_1_15,plain,
( ~ iext(X_5794,X_5798,X_5799)
| ~ iext(X_5795,X_5799,X_5800)
| ~ iext(uri_owl_propertyChainAxiom,X_5793,X_5796)
| ~ iext(uri_rdf_first,X_5796,X_5794)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,X_5795)
| ~ iext(uri_rdf_rest,X_5796,skolemFOFtoCNF_BNODE_l22)
| iext(X_5793,X_5798,X_5800) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l22,uri_rdf_nil) )],[refute_1_12,refute_1_14]) ).
cnf(refute_1_16,plain,
( ~ iext(X_6249,X_6252,X_6253)
| ~ iext(X_6250,X_6253,X_6254)
| ~ iext(uri_owl_propertyChainAxiom,X_6248,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_6249)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,X_6250)
| ~ iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22)
| iext(X_6248,X_6252,X_6254) ),
inference(subst,[],[refute_1_15:[bind(X_5793,$fot(X_6248)),bind(X_5794,$fot(X_6249)),bind(X_5795,$fot(X_6250)),bind(X_5796,$fot(skolemFOFtoCNF_BNODE_l21)),bind(X_5798,$fot(X_6252)),bind(X_5799,$fot(X_6253)),bind(X_5800,$fot(X_6254))]]) ).
cnf(refute_1_17,plain,
( ~ iext(X_6249,X_6252,X_6253)
| ~ iext(X_6250,X_6253,X_6254)
| ~ iext(uri_owl_propertyChainAxiom,X_6248,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_6249)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,X_6250)
| iext(X_6248,X_6252,X_6254) ),
inference(resolve,[$cnf( iext(uri_rdf_rest,skolemFOFtoCNF_BNODE_l21,skolemFOFtoCNF_BNODE_l22) )],[refute_1_11,refute_1_16]) ).
cnf(refute_1_18,plain,
( ~ iext(X_6382,X_6384,X_6385)
| ~ iext(skolemFOFtoCNF_BNODE_l3,X_6385,X_6386)
| ~ iext(uri_owl_propertyChainAxiom,X_6381,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_6382)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3)
| iext(X_6381,X_6384,X_6386) ),
inference(subst,[],[refute_1_17:[bind(X_6248,$fot(X_6381)),bind(X_6249,$fot(X_6382)),bind(X_6250,$fot(skolemFOFtoCNF_BNODE_l3)),bind(X_6252,$fot(X_6384)),bind(X_6253,$fot(X_6385)),bind(X_6254,$fot(X_6386))]]) ).
cnf(refute_1_19,plain,
( ~ iext(X_6382,X_6384,X_6385)
| ~ iext(skolemFOFtoCNF_BNODE_l3,X_6385,X_6386)
| ~ iext(uri_owl_propertyChainAxiom,X_6381,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,X_6382)
| iext(X_6381,X_6384,X_6386) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l22,skolemFOFtoCNF_BNODE_l3) )],[refute_1_10,refute_1_18]) ).
cnf(refute_1_20,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,X_6426,X_6427)
| ~ iext(uri_ex_hasUncle,X_6425,X_6426)
| ~ iext(uri_owl_propertyChainAxiom,X_6423,skolemFOFtoCNF_BNODE_l21)
| ~ iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle)
| iext(X_6423,X_6425,X_6427) ),
inference(subst,[],[refute_1_19:[bind(X_6381,$fot(X_6423)),bind(X_6382,$fot(uri_ex_hasUncle)),bind(X_6384,$fot(X_6425)),bind(X_6385,$fot(X_6426)),bind(X_6386,$fot(X_6427))]]) ).
cnf(refute_1_21,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,X_6426,X_6427)
| ~ iext(uri_ex_hasUncle,X_6425,X_6426)
| ~ iext(uri_owl_propertyChainAxiom,X_6423,skolemFOFtoCNF_BNODE_l21)
| iext(X_6423,X_6425,X_6427) ),
inference(resolve,[$cnf( iext(uri_rdf_first,skolemFOFtoCNF_BNODE_l21,uri_ex_hasUncle) )],[refute_1_9,refute_1_20]) ).
cnf(refute_1_22,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,X_6436,X_6437)
| ~ iext(uri_ex_hasUncle,X_6435,X_6436)
| ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21)
| iext(uri_ex_hasCousin,X_6435,X_6437) ),
inference(subst,[],[refute_1_21:[bind(X_6423,$fot(uri_ex_hasCousin)),bind(X_6425,$fot(X_6435)),bind(X_6426,$fot(X_6436)),bind(X_6427,$fot(X_6437))]]) ).
cnf(refute_1_23,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,X_6436,X_6437)
| ~ iext(uri_ex_hasUncle,X_6435,X_6436)
| iext(uri_ex_hasCousin,X_6435,X_6437) ),
inference(resolve,[$cnf( iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,skolemFOFtoCNF_BNODE_l21) )],[refute_1_8,refute_1_22]) ).
cnf(refute_1_24,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,X_6440)
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave)
| iext(uri_ex_hasCousin,uri_ex_bob,X_6440) ),
inference(subst,[],[refute_1_23:[bind(X_6435,$fot(uri_ex_bob)),bind(X_6436,$fot(uri_ex_dave)),bind(X_6437,$fot(X_6440))]]) ).
cnf(refute_1_25,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,X_6440)
| iext(uri_ex_hasCousin,uri_ex_bob,X_6440) ),
inference(resolve,[$cnf( iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) )],[refute_1_7,refute_1_24]) ).
cnf(refute_1_26,plain,
( ~ iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,uri_ex_alice)
| iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(subst,[],[refute_1_25:[bind(X_6440,$fot(uri_ex_alice))]]) ).
cnf(refute_1_27,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(resolve,[$cnf( iext(skolemFOFtoCNF_BNODE_l3,uri_ex_dave,uri_ex_alice) )],[refute_1_6,refute_1_26]) ).
cnf(refute_1_28,plain,
~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_29,plain,
$false,
inference(resolve,[$cnf( iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) )],[refute_1_27,refute_1_28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB025+2 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n029.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 : 600
% 0.12/0.34 % DateTime : Wed Jun 1 08:36:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 4.77/4.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.77/4.94
% 4.77/4.94 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.77/4.95
%------------------------------------------------------------------------------