%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 : Tue Sep 29 01:00:11 PM UTC 2026
% Result : Theorem 2.21s 1.16s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 63 ( 22 unt; 2 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 398 ( 150 ~; 150 |; 89 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 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; 0-3 aty)
% Number of variables : 164 ( 0 sgn 144 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( ( iext(X2,X5,X6)
& iext(X4,X6,X7) )
=> iext(X0,X5,X7) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f3,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f4,negated_conjecture,
~ ( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,axiom,
? [X0,X1,X2,X3,X4] :
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,X0)
& iext(uri_rdf_first,X0,uri_ex_hasCousin)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_hasFather)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,X2)
& iext(uri_rdf_first,X2,uri_ex_hasUncle)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_inverseOf,X4,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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(ennf_transformation,[],[f4]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(nnf_transformation,[],[f7]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X2,X5,X6)
| ~ iext(X4,X6,X7) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X2,X5,X6)
& iext(X4,X6,X7) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(rectify,[],[f10]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10) ) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK4(X0,X1),sK3(X0,X1))
| ~ iext(X0,sK3(X0,X1),sK4(X0,X1)) )
& ( iext(X1,sK4(X0,X1),sK3(X0,X1))
| iext(X0,sK3(X0,X1),sK4(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X2,sK3(X0,X1)),skolemize(X3,sK4(X0,X1))],[f15]) ).
fof(f17,plain,
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5)
& iext(uri_rdf_first,sK5,uri_ex_hasCousin)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK6,uri_ex_hasFather)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7)
& iext(uri_rdf_first,sK7,uri_ex_hasUncle)
& iext(uri_rdf_rest,sK7,sK8)
& iext(uri_rdf_first,sK8,sK9)
& iext(uri_rdf_rest,sK8,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK9,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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8),skolemize(X4,sK9)],[f5]) ).
fof(f18,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(X0,X8,X10) ),
inference(cnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(cnf_transformation,[],[f8]) ).
fof(f32,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f17]) ).
fof(f33,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f17]) ).
fof(f34,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f17]) ).
fof(f35,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f17]) ).
fof(f36,plain,
iext(uri_owl_inverseOf,sK9,uri_ex_hasFather),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
iext(uri_rdf_rest,sK8,uri_rdf_nil),
inference(cnf_transformation,[],[f17]) ).
fof(f38,plain,
iext(uri_rdf_first,sK8,sK9),
inference(cnf_transformation,[],[f17]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK7,sK8),
inference(cnf_transformation,[],[f17]) ).
fof(f40,plain,
iext(uri_rdf_first,sK7,uri_ex_hasUncle),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK7),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
iext(uri_rdf_first,sK6,uri_ex_hasFather),
inference(cnf_transformation,[],[f17]) ).
fof(f44,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
iext(uri_rdf_first,sK5,uri_ex_hasCousin),
inference(cnf_transformation,[],[f17]) ).
fof(f46,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5),
inference(cnf_transformation,[],[f17]) ).
fof(f48,definition,
( spl10_1
<=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f52,definition,
( spl10_2
<=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| spl10_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f31,f52,f48]) ).
fof(f58,plain,
! [X0,X1] :
( iext(sK9,X1,X0)
| ~ iext(uri_ex_hasFather,X0,X1) ),
inference(resolution,[],[f26,f36]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X6,sK6)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK6,X3)
| iext(X5,X1,X4) ),
inference(resolution,[],[f18,f42]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X6,sK8)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK8,X3)
| iext(X5,X1,X4) ),
inference(resolution,[],[f18,f37]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,sK5)
| ~ iext(uri_rdf_first,sK5,X4)
| ~ iext(X4,X5,X1)
| ~ iext(X0,X1,X2)
| iext(X3,X5,X2) ),
inference(resolution,[],[f102,f44]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,sK7)
| ~ iext(uri_rdf_first,sK7,X4)
| ~ iext(X4,X5,X1)
| ~ iext(X0,X1,X2)
| iext(X3,X5,X2) ),
inference(resolution,[],[f103,f39]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK5)
| ~ iext(X1,X2,X3)
| ~ iext(uri_ex_hasFather,X3,X4)
| iext(X0,X2,X4) ),
inference(resolution,[],[f136,f43]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK7,X1)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK7)
| ~ iext(X1,X2,X3)
| ~ iext(sK9,X3,X4)
| iext(X0,X2,X4) ),
inference(resolution,[],[f147,f38]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_ex_hasCousin,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK5)
| ~ iext(uri_ex_hasFather,X2,X3)
| iext(X0,X1,X3) ),
inference(resolution,[],[f301,f45]) ).
fof(f385,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasFather,uri_ex_bob,X1)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK5)
| iext(X0,uri_ex_alice,X1) ),
inference(resolution,[],[f383,f34]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK9,X2,X3)
| ~ iext(uri_ex_hasUncle,X1,X2)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK7)
| iext(X0,X1,X3) ),
inference(resolution,[],[f322,f40]) ).
fof(f416,plain,
! [X0] :
( iext(X0,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK5) ),
inference(resolution,[],[f385,f33]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_ex_hasUncle,X0,X1)
| ~ iext(uri_owl_propertyChainAxiom,X2,sK7)
| iext(X2,X0,X3)
| ~ iext(uri_ex_hasFather,X3,X1) ),
inference(resolution,[],[f395,f58]) ).
fof(f481,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasFather,X1,uri_ex_dave)
| iext(X0,uri_ex_bob,X1)
| ~ iext(uri_owl_propertyChainAxiom,X0,sK7) ),
inference(resolution,[],[f461,f32]) ).
fof(f574,plain,
! [X0] :
( ~ iext(uri_owl_propertyChainAxiom,X0,sK7)
| iext(X0,uri_ex_bob,uri_ex_alice) ),
inference(resolution,[],[f481,f35]) ).
fof(f578,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(resolution,[],[f574,f41]) ).
fof(f581,plain,
spl10_1,
inference(avatar_split_clause,[],[f578,f48]) ).
fof(f583,plain,
( ~ iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK5)
| spl10_2 ),
inference(resolution,[],[f54,f416]) ).
fof(f584,plain,
( $false
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f583,f46]) ).
fof(f585,plain,
spl10_2,
inference(avatar_contradiction_clause,[],[f584]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s53,plain,
spl10_1,
inference(sat_conversion,[],[f581]) ).
cnf(s54,plain,
spl10_2,
inference(sat_conversion,[],[f585]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s1,s54,s53]) ).
fof(f586,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB025+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n001.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Mon Sep 28 07:11:18 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.21/1.16 % (176559)Detected formulas, will run a generic FOF schedule.
% 2.21/1.16 % (176569)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=751651394:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.21/1.16 % (176569)First to succeed.
% 2.21/1.16 % (176569)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-176559"
% 2.21/1.16 % (176567)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2122846956:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.21/1.16 % (176568)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2727454750:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.21/1.16 % (176568)Refutation not found, incomplete strategy
% 2.21/1.16 % (176568)------------------------------
% 2.21/1.16 % (176568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.16 % (176568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.16 % (176567)Refutation not found, incomplete strategy
% 2.21/1.16 % (176567)------------------------------
% 2.21/1.16 % (176567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.16 % (176568)CaDiCaL version: 2.1.3
% 2.21/1.16 % (176567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.16 % (176568)Termination reason: Refutation not found, incomplete strategy
% 2.21/1.16 % (176568)Time elapsed: 0.0000 s
% 2.21/1.16 % (176568)Peak memory usage: 86 MB
% 2.21/1.16 % (176567)CaDiCaL version: 2.1.3
% 2.21/1.16 % (176567)Termination reason: Refutation not found, incomplete strategy
% 2.21/1.16 % (176567)Time elapsed: 0.001 s
% 2.21/1.16 % (176567)Peak memory usage: 87 MB
% 2.21/1.16 % (176564)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3131893391:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.21/1.16 % (176565)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3732812500:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.21/1.16 % (176566)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1003776610:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.21/1.16 % (176570)dis-21_1_sil=8000:lcm=predicate:random_seed=3330678801:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.21/1.16 % (176570)Instruction limit reached!
% 2.21/1.16 % (176570)------------------------------
% 2.21/1.16 % (176570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.21/1.16 % (176570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/1.16 % (176570)CaDiCaL version: 2.1.3
% 2.21/1.16 % (176570)Termination reason: Instruction limit
% 2.21/1.16 % (176570)Termination phase: Saturation
% 2.21/1.16 % (176570)Time elapsed: 0.069 s
% 2.21/1.16 % (176570)Peak memory usage: 89 MB
% 2.21/1.16 % (176570)Instructions burned: 130 (million)
% 2.21/1.16 % (176569)Refutation found. Thanks to Tanya!
% 2.21/1.16 % SZS status Theorem for theBenchmark
% 2.21/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.35 % (176569)------------------------------
% 2.60/1.35 % (176569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.35 % (176569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.35 % (176569)CaDiCaL version: 2.1.3
% 2.60/1.35 % (176569)Termination reason: Refutation
% 2.60/1.35 % (176569)Time elapsed: 0.010 s
% 2.60/1.35 % (176569)Peak memory usage: 90 MB
% 2.60/1.35 % (176569)Instructions burned: 23 (million)
% 2.60/1.35 % (176569)------------------------------
% 2.60/1.35 % (176569)------------------------------
% 2.60/1.35 % (176559)Success in time 0.28 s
% 2.60/1.35 % Vampire exiting
%------------------------------------------------------------------------------