%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWB025+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:37:10 PM UTC 2026
% Result : Theorem 210.80s 27.16s
% Output : CNFRefutation 210.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 6
% Syntax : Number of formulae : 59 ( 18 unt; 2 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 352 ( 127 ~; 128 |; 89 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 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; 0-4 aty)
% Number of variables : 155 ( 135 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,axiom,
! [P,S1,P1,S2,P2] :
( ( iext(uri_rdf_rest,S2,uri_rdf_nil)
& iext(uri_rdf_first,S2,P2)
& iext(uri_rdf_rest,S1,S2)
& iext(uri_rdf_first,S1,P1) )
=> ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( ( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
=> iext(P,Y0,Y2) )
& ip(P2)
& ip(P1)
& ip(P) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f391,axiom,
! [P1,P2] :
( iext(uri_owl_inverseOf,P1,P2)
<=> ( ! [X,Y] :
( iext(P1,X,Y)
<=> iext(P2,Y,X) )
& ip(P2)
& ip(P1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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/sandbox2/benchmark/theBenchmark.p') ).
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,[status(cth)],[f559]) ).
fof(f561,axiom,
? [BNODE_l11,BNODE_l12,BNODE_l21,BNODE_l22,BNODE_l3] :
( 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,BNODE_l3,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1975,plain,
! [P,S1,P1,S2,P2] :
( ( iext(uri_owl_propertyChainAxiom,P,S1)
<=> ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(pre_NNF_transformation,[status(thm)],[f389]) ).
fof(f1976,plain,
! [P,S1,P1,S2,P2] :
( ( ( ? [Y0,Y1,Y2] :
( ~ iext(P,Y0,Y2)
& iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ( ( ! [Y0,Y1,Y2] :
( iext(P,Y0,Y2)
| ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ),
inference(NNF_transformation,[status(thm)],[f1975]) ).
fof(f1977,plain,
! [S1,P1,P2] :
( ( ! [P] :
( ? [Y0,Y2] :
( ~ iext(P,Y0,Y2)
& ? [Y1] :
( iext(P2,Y1,Y2)
& iext(P1,Y0,Y1) ) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y2] :
( iext(P,Y0,Y2)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ),
inference(miniscoping,[status(thm)],[f1976]) ).
fof(f1978,plain,
! [S1,P1,P2] :
( ( ! [P] :
( ( ~ iext(P,sK159_skl(P,P2,P1,S1),sK160_skl(P,P2,P1,S1))
& iext(P2,sK161_skl(P,P2,P1,S1),sK160_skl(P,P2,P1,S1))
& iext(P1,sK159_skl(P,P2,P1,S1),sK161_skl(P,P2,P1,S1)) )
| ~ ip(P2)
| ~ ip(P1)
| ~ ip(P)
| iext(uri_owl_propertyChainAxiom,P,S1) )
& ! [P] :
( ( ! [Y0,Y2] :
( iext(P,Y0,Y2)
| ! [Y1] :
( ~ iext(P2,Y1,Y2)
| ~ iext(P1,Y0,Y1) ) )
& ip(P2)
& ip(P1)
& ip(P) )
| ~ iext(uri_owl_propertyChainAxiom,P,S1) ) )
| ! [S2] :
( ~ iext(uri_rdf_rest,S2,uri_rdf_nil)
| ~ iext(uri_rdf_first,S2,P2)
| ~ iext(uri_rdf_rest,S1,S2)
| ~ iext(uri_rdf_first,S1,P1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK159_skl,sK160_skl,sK161_skl]),skolemize(Y0,sK159_skl(P,P2,P1,S1)),skolemize(Y2,sK160_skl(P,P2,P1,S1)),skolemize(Y1,sK161_skl(P,P2,P1,S1))],[f1977]) ).
fof(f1982,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ iext(uri_rdf_rest,X4,X6)
| ~ iext(X7,X2,X5)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_rdf_rest,X6,uri_rdf_nil)
| ~ iext(uri_rdf_first,X6,X7)
| iext(X3,X1,X5)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1978]) ).
fof(f1999,plain,
! [P1,P2] :
( ( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ( ( ! [X,Y] :
( ( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ( iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(NNF_transformation,[status(thm)],[f391]) ).
fof(f2000,plain,
( ! [P1,P2] :
( ? [X,Y] :
( ( iext(P2,Y,X)
| iext(P1,X,Y) )
& ( ~ iext(P2,Y,X)
| ~ iext(P1,X,Y) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1999]) ).
fof(f2001,plain,
( ! [P1,P2] :
( ( ( iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) )
& ( ~ iext(P2,sK167_skl(P2,P1),sK166_skl(P2,P1))
| ~ iext(P1,sK166_skl(P2,P1),sK167_skl(P2,P1)) ) )
| ~ ip(P2)
| ~ ip(P1)
| iext(uri_owl_inverseOf,P1,P2) )
& ! [P1,P2] :
( ( ! [X,Y] :
( ~ iext(P2,Y,X)
| iext(P1,X,Y) )
& ! [X,Y] :
( iext(P2,Y,X)
| ~ iext(P1,X,Y) )
& ip(P2)
& ip(P1) )
| ~ iext(uri_owl_inverseOf,P1,P2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK166_skl,sK167_skl]),skolemize(X,sK166_skl(P2,P1)),skolemize(Y,sK167_skl(P2,P1))],[f2000]) ).
fof(f2005,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2001]) ).
fof(f2405,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(pre_NNF_transformation,[status(thm)],[f560]) ).
fof(f2406,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(cnf_transformation,[status(thm)],[f2405]) ).
fof(f2407,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)
& ? [BNODE_l3] :
( iext(uri_owl_inverseOf,BNODE_l3,uri_ex_hasFather)
& ? [BNODE_l22] :
( iext(uri_rdf_rest,BNODE_l22,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l22,BNODE_l3)
& ? [BNODE_l21] :
( iext(uri_rdf_rest,BNODE_l21,BNODE_l22)
& iext(uri_rdf_first,BNODE_l21,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,BNODE_l21)
& ? [BNODE_l12] :
( iext(uri_rdf_rest,BNODE_l12,uri_rdf_nil)
& iext(uri_rdf_first,BNODE_l12,uri_ex_hasFather)
& ? [BNODE_l11] :
( iext(uri_rdf_rest,BNODE_l11,BNODE_l12)
& iext(uri_rdf_first,BNODE_l11,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,BNODE_l11) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f561]) ).
fof(f2408,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,sK199_skl,uri_ex_hasFather)
& iext(uri_rdf_rest,sK200_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK200_skl,sK199_skl)
& iext(uri_rdf_rest,sK201_skl,sK200_skl)
& iext(uri_rdf_first,sK201_skl,uri_ex_hasUncle)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK201_skl)
& iext(uri_rdf_rest,sK202_skl,uri_rdf_nil)
& iext(uri_rdf_first,sK202_skl,uri_ex_hasFather)
& iext(uri_rdf_rest,sK203_skl,sK202_skl)
& iext(uri_rdf_first,sK203_skl,uri_ex_hasCousin)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK203_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK199_skl,sK200_skl,sK201_skl,sK202_skl,sK203_skl]),skolemize(BNODE_l3,sK199_skl),skolemize(BNODE_l22,sK200_skl),skolemize(BNODE_l21,sK201_skl),skolemize(BNODE_l12,sK202_skl),skolemize(BNODE_l11,sK203_skl)],[f2407]) ).
fof(f2409,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK203_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2410,plain,
iext(uri_rdf_first,sK203_skl,uri_ex_hasCousin),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2411,plain,
iext(uri_rdf_rest,sK203_skl,sK202_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2412,plain,
iext(uri_rdf_first,sK202_skl,uri_ex_hasFather),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2413,plain,
iext(uri_rdf_rest,sK202_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2414,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK201_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2415,plain,
iext(uri_rdf_first,sK201_skl,uri_ex_hasUncle),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2416,plain,
iext(uri_rdf_rest,sK201_skl,sK200_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2417,plain,
iext(uri_rdf_first,sK200_skl,sK199_skl),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2418,plain,
iext(uri_rdf_rest,sK200_skl,uri_rdf_nil),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2419,plain,
iext(uri_owl_inverseOf,sK199_skl,uri_ex_hasFather),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2420,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2421,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2422,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2423,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[status(thm)],[f2408]) ).
fof(f2531,definition,
( sQ1_spl
<=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f2533,plain,
( sQ1_spl
| ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
inference(component_clause,[status(thm)],[f2531]) ).
fof(f2534,definition,
( sQ2_spl
<=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f2536,plain,
( sQ2_spl
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(component_clause,[status(thm)],[f2534]) ).
fof(f2537,plain,
( ~ sQ2_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f2406,f2531,f2534]) ).
fof(f2635,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasFather,X1,X0)
| iext(sK199_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2005,f2419]) ).
fof(f5173,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_first,X1,X3)
| iext(X0,X4,X6)
| ~ iext(X2,X5,X6)
| ~ iext(X3,X4,X5)
| ~ iext(uri_rdf_rest,X1,sK200_skl)
| ~ iext(uri_rdf_first,sK200_skl,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ),
inference(resolution,[status(thm)],[f1982,f2418]) ).
fof(f5174,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(X0,X3,X6)
| ~ iext(uri_rdf_first,X5,X1)
| iext(X4,X2,X6)
| ~ iext(uri_rdf_rest,X5,sK202_skl)
| ~ iext(uri_owl_propertyChainAxiom,X4,X5)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdf_first,sK202_skl,X0) ),
inference(resolution,[status(thm)],[f1982,f2413]) ).
fof(f5175,plain,
! [X0,X1,X2,X3,X4,X5] :
( iext(X1,X5,X3)
| ~ iext(X4,X5,X2)
| ~ iext(uri_rdf_first,sK203_skl,X4)
| ~ iext(X0,X2,X3)
| ~ iext(uri_owl_propertyChainAxiom,X1,sK203_skl)
| ~ iext(uri_rdf_first,sK202_skl,X0) ),
inference(resolution,[status(thm)],[f5174,f2411]) ).
fof(f5176,plain,
! [X0,X1,X2,X3,X4] :
( iext(X4,X3,X2)
| ~ iext(uri_rdf_first,sK202_skl,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK203_skl)
| ~ iext(uri_ex_hasCousin,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f5175,f2410]) ).
fof(f5206,plain,
! [X0,X1,X2,X3] :
( iext(X2,X0,X3)
| ~ iext(uri_ex_hasFather,X1,X3)
| ~ iext(uri_owl_propertyChainAxiom,X2,sK203_skl)
| ~ iext(uri_ex_hasCousin,X0,X1) ),
inference(resolution,[status(thm)],[f2412,f5176]) ).
fof(f5210,plain,
! [X0,X1,X2] :
( iext(uri_ex_hasUncle,X2,X1)
| ~ iext(uri_ex_hasCousin,X2,X0)
| ~ iext(uri_ex_hasFather,X0,X1) ),
inference(resolution,[status(thm)],[f5206,f2409]) ).
fof(f5211,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ iext(uri_rdf_first,sK200_skl,X3)
| ~ iext(X5,X1,X4)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK201_skl)
| ~ iext(uri_rdf_first,sK201_skl,X5)
| ~ iext(X3,X4,X2)
| iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f5173,f2416]) ).
fof(f5227,plain,
! [X0] :
( sQ1_spl
| ~ iext(uri_ex_hasFather,X0,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_alice,X0) ),
inference(resolution,[status(thm)],[f2533,f5210]) ).
fof(f5228,plain,
( sQ1_spl
| ~ iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob) ),
inference(resolution,[status(thm)],[f5227,f2422]) ).
fof(f5229,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5228,f2421]) ).
fof(f5230,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f5229]) ).
fof(f5236,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_first,sK201_skl,X4)
| ~ iext(uri_owl_propertyChainAxiom,X2,sK201_skl)
| ~ iext(X4,X3,X0)
| iext(X2,X3,X1)
| ~ iext(sK199_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2417,f5211]) ).
fof(f5252,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK201_skl)
| ~ iext(uri_ex_hasUncle,X1,X3)
| ~ iext(sK199_skl,X3,X2)
| iext(X0,X1,X2) ),
inference(resolution,[status(thm)],[f5236,f2415]) ).
fof(f5253,plain,
! [X0,X1,X2] :
( ~ iext(uri_ex_hasUncle,X0,X2)
| ~ iext(sK199_skl,X2,X1)
| iext(uri_ex_hasCousin,X0,X1) ),
inference(resolution,[status(thm)],[f5252,f2414]) ).
fof(f5267,plain,
! [X0,X1,X2] :
( ~ iext(uri_ex_hasUncle,X0,X2)
| ~ iext(uri_ex_hasFather,X1,X2)
| iext(uri_ex_hasCousin,X0,X1) ),
inference(resolution,[status(thm)],[f2635,f5253]) ).
fof(f5269,plain,
! [X0] :
( sQ2_spl
| ~ iext(uri_ex_hasUncle,uri_ex_bob,X0)
| ~ iext(uri_ex_hasFather,uri_ex_alice,X0) ),
inference(resolution,[status(thm)],[f5267,f2536]) ).
fof(f5270,plain,
( sQ2_spl
| ~ iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave) ),
inference(resolution,[status(thm)],[f5269,f2420]) ).
fof(f5271,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5270,f2423]) ).
fof(f5272,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f5271]) ).
fof(f5273,plain,
$false,
inference(sat_refutation,[status(thm)],[f2537,f5230,f5272]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWB025+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n011.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 07:41:25 UTC 2026
% 0.17/0.46 % CPUTime :
% 0.23/0.53 % Drodi V4.1.1
% 210.80/27.16 % Refutation found
% 210.80/27.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 210.80/27.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 54.00/27.24 % Elapsed time: 26.766014 seconds
% 54.00/27.24 % CPU time: 211.500629 seconds
% 54.00/27.24 % Total memory used: 507.857 MB
% 54.00/27.24 % Net memory used: 476.406 MB
%------------------------------------------------------------------------------