%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB025+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 4.39s 1.26s
% Output : Refutation 5.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 63 ( 24 unt; 2 def)
% Number of atoms : 307 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 390 ( 146 ~; 146 |; 89 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 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 : 156 ( 0 sgn 136 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,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/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f391,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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f559,conjecture,
( iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
& iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f560,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)],[f559]) ).
fof(f561,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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_025_Cyclic_Dependencies_between_Complex_Properties) ).
fof(f565,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(ennf_transformation,[],[f560]) ).
fof(f569,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,[],[f389]) ).
fof(f570,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,[],[f569]) ).
fof(f578,plain,
( iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK2)
& iext(uri_rdf_first,sK2,uri_ex_hasCousin)
& iext(uri_rdf_rest,sK2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_hasFather)
& iext(uri_rdf_rest,sK3,uri_rdf_nil)
& iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK4)
& iext(uri_rdf_first,sK4,uri_ex_hasUncle)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK6,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,[sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5),skolemize(X4,sK6)],[f561]) ).
fof(f579,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,[],[f391]) ).
fof(f580,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,[],[f579]) ).
fof(f581,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,[],[f580]) ).
fof(f582,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK8(X0,X1),sK7(X0,X1))
| ~ iext(X0,sK7(X0,X1),sK8(X0,X1)) )
& ( iext(X1,sK8(X0,X1),sK7(X0,X1))
| iext(X0,sK7(X0,X1),sK8(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,[sK7,sK8]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1))],[f581]) ).
fof(f589,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,[],[f570]) ).
fof(f590,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,[],[f589]) ).
fof(f591,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,[],[f590]) ).
fof(f592,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ( ~ iext(X0,sK13(X0,X2,X4),sK15(X0,X2,X4))
& iext(X2,sK13(X0,X2,X4),sK14(X0,X2,X4))
& iext(X4,sK14(X0,X2,X4),sK15(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,[sK13,sK14,sK15]),skolemize(X5,sK13(X0,X2,X4)),skolemize(X6,sK14(X0,X2,X4)),skolemize(X7,sK15(X0,X2,X4))],[f591]) ).
fof(f601,plain,
( ~ iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly)
| ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
inference(cnf_transformation,[],[f565]) ).
fof(f602,plain,
iext(uri_ex_hasUncle,uri_ex_bob,uri_ex_dave),
inference(cnf_transformation,[],[f578]) ).
fof(f603,plain,
iext(uri_ex_hasFather,uri_ex_bob,uri_ex_charly),
inference(cnf_transformation,[],[f578]) ).
fof(f604,plain,
iext(uri_ex_hasCousin,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f578]) ).
fof(f605,plain,
iext(uri_ex_hasFather,uri_ex_alice,uri_ex_dave),
inference(cnf_transformation,[],[f578]) ).
fof(f606,plain,
iext(uri_owl_inverseOf,sK6,uri_ex_hasFather),
inference(cnf_transformation,[],[f578]) ).
fof(f607,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f578]) ).
fof(f608,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f578]) ).
fof(f609,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f578]) ).
fof(f610,plain,
iext(uri_rdf_first,sK4,uri_ex_hasUncle),
inference(cnf_transformation,[],[f578]) ).
fof(f611,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasCousin,sK4),
inference(cnf_transformation,[],[f578]) ).
fof(f612,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f578]) ).
fof(f613,plain,
iext(uri_rdf_first,sK3,uri_ex_hasFather),
inference(cnf_transformation,[],[f578]) ).
fof(f614,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(cnf_transformation,[],[f578]) ).
fof(f615,plain,
iext(uri_rdf_first,sK2,uri_ex_hasCousin),
inference(cnf_transformation,[],[f578]) ).
fof(f616,plain,
iext(uri_owl_propertyChainAxiom,uri_ex_hasUncle,sK2),
inference(cnf_transformation,[],[f578]) ).
fof(f618,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f582]) ).
fof(f638,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ iext(X2,X8,X9)
| ~ iext(X4,X9,X10)
| iext(X0,X8,X10)
| ~ 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(cnf_transformation,[],[f592]) ).
fof(f666,definition,
( spl19_1
<=> iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f668,plain,
( ~ iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice)
| spl19_1 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f670,definition,
( spl19_2
<=> iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f673,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f601,f670,f666]) ).
fof(f699,plain,
! [X0,X1] :
( ~ iext(uri_ex_hasFather,X0,X1)
| iext(sK6,X1,X0) ),
inference(resolution,[],[f618,f606]) ).
fof(f700,plain,
iext(sK6,uri_ex_dave,uri_ex_alice),
inference(resolution,[],[f699,f605]) ).
fof(f886,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK2,X5)
| ~ iext(X3,X2,X4)
| iext(uri_ex_hasUncle,X1,X4)
| ~ iext(uri_rdf_first,sK2,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f638,f616]) ).
fof(f887,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,sK4,X5)
| ~ iext(X3,X2,X4)
| iext(uri_ex_hasCousin,X1,X4)
| ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,X5,X3)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(resolution,[],[f638,f611]) ).
fof(f1770,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(uri_ex_hasUncle,X3,X2)
| ~ iext(uri_rdf_first,sK2,X4)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(resolution,[],[f886,f614]) ).
fof(f1771,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK3,X0)
| iext(uri_ex_hasUncle,X3,X2)
| ~ iext(uri_rdf_first,sK2,X4)
| ~ iext(X4,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f1770,f612]) ).
fof(f1774,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| iext(uri_ex_hasCousin,X3,X2)
| ~ iext(uri_rdf_first,sK4,X4)
| ~ iext(X4,X3,X1)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(resolution,[],[f887,f609]) ).
fof(f1775,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X0)
| iext(uri_ex_hasCousin,X3,X2)
| ~ iext(uri_rdf_first,sK4,X4)
| ~ iext(X4,X3,X1)
| ~ iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f1774,f607]) ).
fof(f2059,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_ex_hasFather,X3,X1)
| ~ iext(uri_rdf_first,sK2,X2)
| ~ iext(X2,X0,X3)
| iext(uri_ex_hasUncle,X0,X1) ),
inference(resolution,[],[f1771,f613]) ).
fof(f2062,plain,
! [X2,X3,X0,X1] :
( ~ iext(sK6,X3,X1)
| ~ iext(uri_rdf_first,sK4,X2)
| ~ iext(X2,X0,X3)
| iext(uri_ex_hasCousin,X0,X1) ),
inference(resolution,[],[f1775,f608]) ).
fof(f2306,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK2,X0)
| ~ iext(X0,X1,uri_ex_bob)
| iext(uri_ex_hasUncle,X1,uri_ex_charly) ),
inference(resolution,[],[f2059,f603]) ).
fof(f2637,plain,
! [X0] :
( ~ iext(uri_ex_hasCousin,X0,uri_ex_bob)
| iext(uri_ex_hasUncle,X0,uri_ex_charly) ),
inference(resolution,[],[f2306,f615]) ).
fof(f2643,plain,
iext(uri_ex_hasUncle,uri_ex_alice,uri_ex_charly),
inference(resolution,[],[f2637,f604]) ).
fof(f2644,plain,
spl19_2,
inference(avatar_split_clause,[],[f2643,f670]) ).
fof(f2647,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(X0,X1,uri_ex_dave)
| iext(uri_ex_hasCousin,X1,uri_ex_alice) ),
inference(resolution,[],[f2062,f700]) ).
fof(f2714,plain,
! [X0] :
( ~ iext(uri_ex_hasUncle,X0,uri_ex_dave)
| iext(uri_ex_hasCousin,X0,uri_ex_alice) ),
inference(resolution,[],[f2647,f610]) ).
fof(f2720,plain,
iext(uri_ex_hasCousin,uri_ex_bob,uri_ex_alice),
inference(resolution,[],[f2714,f602]) ).
fof(f2721,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f2720,f668]) ).
fof(f2722,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f2721]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f673]) ).
cnf(s127,plain,
spl19_2,
inference(sat_conversion,[],[f2644]) ).
cnf(s128,plain,
spl19_1,
inference(sat_conversion,[],[f2722]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s1,s127,s128]) ).
fof(f2723,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB025+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 07:07:12 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.39/1.26 % (1396771)Detected formulas, will run a generic FOF schedule.
% 4.39/1.26 % (1396824)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3553744265:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.39/1.26 % (1396823)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3599686372:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.39/1.26 % (1396819)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=3898766767:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.39/1.26 % (1396820)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=3639195284:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.39/1.26 % (1396821)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=743816507:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.39/1.26 % (1396822)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3949722721:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.39/1.26 % (1396825)dis-21_1_sil=8000:lcm=predicate:random_seed=357714279: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)
% 4.39/1.26 % (1396823)Refutation not found, incomplete strategy
% 4.39/1.26 % (1396823)------------------------------
% 4.39/1.26 % (1396823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396822)Refutation not found, incomplete strategy
% 4.39/1.26 % (1396822)------------------------------
% 4.39/1.26 % (1396822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396823)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396823)Termination reason: Refutation not found, incomplete strategy
% 4.39/1.26 % (1396823)Time elapsed: 0.002 s
% 4.39/1.26 % (1396822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396823)Peak memory usage: 87 MB
% 4.39/1.26 % (1396823)Instructions burned: 1 (million)
% 4.39/1.26 % (1396822)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396822)Termination reason: Refutation not found, incomplete strategy
% 4.39/1.26 % (1396822)Time elapsed: 0.002 s
% 4.39/1.26 % (1396822)Peak memory usage: 87 MB
% 4.39/1.26 % (1396822)Instructions burned: 1 (million)
% 4.39/1.26 % (1396825)Instruction limit reached!
% 4.39/1.26 % (1396825)------------------------------
% 4.39/1.26 % (1396825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396825)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396825)Termination reason: Instruction limit
% 4.39/1.26 % (1396825)Termination phase: Saturation
% 4.39/1.26 % (1396825)Time elapsed: 0.067 s
% 4.39/1.26 % (1396825)Peak memory usage: 91 MB
% 4.39/1.26 % (1396825)Instructions burned: 130 (million)
% 4.39/1.26 % (1396824)Instruction limit reached!
% 4.39/1.26 % (1396824)------------------------------
% 4.39/1.26 % (1396824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396824)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396824)Termination reason: Instruction limit
% 4.39/1.26 % (1396824)Termination phase: Saturation
% 4.39/1.26 % (1396824)Time elapsed: 0.077 s
% 4.39/1.26 % (1396824)Peak memory usage: 90 MB
% 4.39/1.26 % (1396824)Instructions burned: 139 (million)
% 4.39/1.26 % (1396880)lrs+10_1_sil=8000:sp=occurrence:random_seed=1238859576:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.39/1.26 % (1396881)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3049466796:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.39/1.26 % (1396881)Refutation not found, incomplete strategy
% 4.39/1.26 % (1396881)------------------------------
% 4.39/1.26 % (1396881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396881)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396881)Termination reason: Refutation not found, incomplete strategy
% 4.39/1.26 % (1396881)Time elapsed: 0.004 s
% 4.39/1.26 % (1396881)Peak memory usage: 89 MB
% 4.39/1.26 % (1396881)Instructions burned: 5 (million)
% 4.39/1.26 % (1396823)------------------------------
% 4.39/1.26 % (1396823)------------------------------
% 4.39/1.26 % (1396822)------------------------------
% 4.39/1.26 % (1396822)------------------------------
% 4.39/1.26 % (1396880)First to succeed.
% 4.39/1.26 % (1396880)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1396771"
% 4.39/1.26 % (1396884)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3321701480:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.39/1.26 % (1396884)Refutation not found, incomplete strategy
% 4.39/1.26 % (1396884)------------------------------
% 4.39/1.26 % (1396884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.26 % (1396884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.26 % (1396884)CaDiCaL version: 2.1.3
% 4.39/1.26 % (1396884)Termination reason: Refutation not found, incomplete strategy
% 4.39/1.26 % (1396884)Time elapsed: 0.001 s
% 4.39/1.26 % (1396884)Peak memory usage: 88 MB
% 4.39/1.26 % (1396884)Instructions burned: 2 (million)
% 4.39/1.26 % (1396885)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2331911387:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.39/1.26 % (1396885)Also succeeded, but the first one will report.
% 4.39/1.26 % (1396881)------------------------------
% 4.39/1.26 % (1396881)------------------------------
% 4.39/1.26 % (1396884)------------------------------
% 4.39/1.26 % (1396884)------------------------------
% 4.39/1.26 % (1396880)Refutation found. Thanks to Tanya!
% 4.39/1.26 % SZS status Theorem for theBenchmark
% 4.39/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 5.00/1.45 % (1396880)------------------------------
% 5.00/1.45 % (1396880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.00/1.45 % (1396880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.00/1.45 % (1396880)CaDiCaL version: 2.1.3
% 5.00/1.45 % (1396880)Termination reason: Refutation
% 5.00/1.45 % (1396880)Time elapsed: 0.052 s
% 5.00/1.45 % (1396880)Peak memory usage: 91 MB
% 5.00/1.45 % (1396880)Instructions burned: 84 (million)
% 5.00/1.45 % (1396880)------------------------------
% 5.00/1.45 % (1396880)------------------------------
% 5.00/1.45 % (1396771)Success in time 0.653 s
% 5.00/1.45 % Vampire exiting
%------------------------------------------------------------------------------