%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB059+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 : n005.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 01:00:20 PM UTC 2026
% Result : Theorem 8.55s 2.08s
% Output : Refutation 9.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 124 ( 18 unt; 7 def)
% Number of atoms : 762 ( 0 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 1053 ( 415 ~; 462 |; 151 &)
% ( 21 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-3 aty)
% Number of variables : 229 ( 0 sgn 214 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f198,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_disjointwith_ext) ).
fof(f270,axiom,
! [X0,X1] :
( iext(uri_owl_unionOf,X0,X1)
=> ( ic(X0)
& icext(uri_rdf_List,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
fof(f289,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_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(f348,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_disjointUnionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( ( icext(X2,X5)
| icext(X4,X5) )
& ~ ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointunionof_002) ).
fof(f350,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
~ ( icext(X0,X2)
& icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_owl_disjointUnionOf,uri_ex_c3,X1)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_c2)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_disjointunion_composite) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_owl_disjointUnionOf,uri_ex_c3,X1)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X0,uri_ex_c2)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_owl_unionOf,uri_ex_c3,X0)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_first,X1,uri_ex_c2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_c1)
& iext(uri_rdf_rest,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_disjointunion_composite) ).
fof(f562,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointUnionOf,uri_ex_c3,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(ennf_transformation,[],[f560]) ).
fof(f565,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_disjointUnionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) ) ) ) )
| ~ 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,[],[f348]) ).
fof(f566,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_disjointUnionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) ) ) ) )
| ~ 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,[],[f565]) ).
fof(f570,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) ) ),
inference(ennf_transformation,[],[f350]) ).
fof(f571,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(ennf_transformation,[],[f198]) ).
fof(f580,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) )
| ~ 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,[],[f289]) ).
fof(f581,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_unionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
| icext(X4,X5) ) ) ) )
| ~ 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,[],[f580]) ).
fof(f584,plain,
! [X0,X1] :
( ( ic(X0)
& icext(uri_rdf_List,X1) )
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(ennf_transformation,[],[f270]) ).
fof(f605,plain,
( iext(uri_owl_unionOf,uri_ex_c3,sK3)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_first,sK4,uri_ex_c2)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_rdf_first,sK3,uri_ex_c1)
& iext(uri_rdf_rest,sK3,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f561]) ).
fof(f615,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) )
& ( ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ( icext(X2,X5)
& icext(X4,X5) ) )
& ( ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_disjointUnionOf,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,[],[f566]) ).
fof(f616,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) )
& ( ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ( icext(X2,X5)
& icext(X4,X5) ) )
& ( ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) )
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_disjointUnionOf,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,[],[f615]) ).
fof(f617,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) )
& ( ( ( icext(X2,X5)
| icext(X4,X5) )
& ( ~ icext(X2,X5)
| ~ icext(X4,X5) ) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ( ~ icext(X2,X6)
& ~ icext(X4,X6) )
| ( icext(X2,X6)
& icext(X4,X6) ) )
& ( ( ( icext(X2,X6)
| icext(X4,X6) )
& ( ~ icext(X2,X6)
| ~ icext(X4,X6) ) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_disjointUnionOf,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,[],[f616]) ).
fof(f618,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ( ~ icext(X2,sK6(X0,X2,X4))
& ~ icext(X4,sK6(X0,X2,X4)) )
| ( icext(X2,sK6(X0,X2,X4))
& icext(X4,sK6(X0,X2,X4)) )
| ~ icext(X0,sK6(X0,X2,X4)) )
& ( ( ( icext(X2,sK6(X0,X2,X4))
| icext(X4,sK6(X0,X2,X4)) )
& ( ~ icext(X2,sK6(X0,X2,X4))
| ~ icext(X4,sK6(X0,X2,X4)) ) )
| icext(X0,sK6(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ( ~ icext(X2,X6)
& ~ icext(X4,X6) )
| ( icext(X2,X6)
& icext(X4,X6) ) )
& ( ( ( icext(X2,X6)
| icext(X4,X6) )
& ( ~ icext(X2,X6)
| ~ icext(X4,X6) ) )
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_disjointUnionOf,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,[sK6]),skolemize(X5,sK6(X0,X2,X4))],[f617]) ).
fof(f627,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f570]) ).
fof(f628,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(flattening,[],[f627]) ).
fof(f629,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( icext(X0,X2)
& icext(X1,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(rectify,[],[f628]) ).
fof(f630,plain,
! [X0,X1] :
( ( iext(uri_owl_disjointWith,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( icext(X0,sK9(X0,X1))
& icext(X1,sK9(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ~ icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f629]) ).
fof(f635,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ~ icext(X0,X5) )
& ( icext(X2,X5)
| icext(X4,X5)
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) ) )
& ( icext(X2,X5)
| icext(X4,X5)
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_unionOf,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,[],[f581]) ).
fof(f636,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ~ icext(X0,X5) )
& ( icext(X2,X5)
| icext(X4,X5)
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ( ~ icext(X2,X5)
& ~ icext(X4,X5) ) )
& ( icext(X2,X5)
| icext(X4,X5)
| ~ icext(X0,X5) ) ) )
| ~ iext(uri_owl_unionOf,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,[],[f635]) ).
fof(f637,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ( ~ icext(X2,X5)
& ~ icext(X4,X5) )
| ~ icext(X0,X5) )
& ( icext(X2,X5)
| icext(X4,X5)
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ( ~ icext(X2,X6)
& ~ icext(X4,X6) ) )
& ( icext(X2,X6)
| icext(X4,X6)
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_unionOf,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,[],[f636]) ).
fof(f638,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_unionOf,X0,X1)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ( ( ( ~ icext(X2,sK11(X0,X2,X4))
& ~ icext(X4,sK11(X0,X2,X4)) )
| ~ icext(X0,sK11(X0,X2,X4)) )
& ( icext(X2,sK11(X0,X2,X4))
| icext(X4,sK11(X0,X2,X4))
| icext(X0,sK11(X0,X2,X4)) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X6] :
( ( icext(X0,X6)
| ( ~ icext(X2,X6)
& ~ icext(X4,X6) ) )
& ( icext(X2,X6)
| icext(X4,X6)
| ~ icext(X0,X6) ) ) )
| ~ iext(uri_owl_unionOf,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,[sK11]),skolemize(X5,sK11(X0,X2,X4))],[f637]) ).
fof(f660,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointUnionOf,uri_ex_c3,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(cnf_transformation,[],[f562]) ).
fof(f661,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f605]) ).
fof(f662,plain,
iext(uri_rdf_first,sK3,uri_ex_c1),
inference(cnf_transformation,[],[f605]) ).
fof(f663,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf_transformation,[],[f605]) ).
fof(f664,plain,
iext(uri_rdf_first,sK4,uri_ex_c2),
inference(cnf_transformation,[],[f605]) ).
fof(f665,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f605]) ).
fof(f666,plain,
iext(uri_owl_unionOf,uri_ex_c3,sK3),
inference(cnf_transformation,[],[f605]) ).
fof(f712,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| icext(X2,sK6(X0,X2,X4))
| icext(X4,sK6(X0,X2,X4))
| icext(X0,sK6(X0,X2,X4))
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| iext(uri_owl_disjointUnionOf,X0,X1) ),
inference(cnf_transformation,[],[f618]) ).
fof(f714,plain,
! [X2,X3,X0,X1,X4] :
( ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X4)
| ~ icext(X4,sK6(X0,X2,X4))
| icext(X2,sK6(X0,X2,X4))
| ~ icext(X0,sK6(X0,X2,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) ),
inference(cnf_transformation,[],[f618]) ).
fof(f715,plain,
! [X2,X3,X0,X1,X4] :
( ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X4)
| ~ icext(X2,sK6(X0,X2,X4))
| icext(X4,sK6(X0,X2,X4))
| ~ icext(X0,sK6(X0,X2,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) ),
inference(cnf_transformation,[],[f618]) ).
fof(f729,plain,
! [X3,X0,X1] :
( ~ icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[],[f630]) ).
fof(f735,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ic(X1) ),
inference(cnf_transformation,[],[f571]) ).
fof(f736,plain,
! [X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f571]) ).
fof(f752,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ icext(X0,X6)
| icext(X4,X6)
| icext(X2,X6)
| ~ iext(uri_owl_unionOf,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(cnf_transformation,[],[f638]) ).
fof(f753,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X4,X6)
| ~ iext(uri_owl_unionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X6) ),
inference(cnf_transformation,[],[f638]) ).
fof(f754,plain,
! [X2,X3,X0,X1,X6,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ icext(X2,X6)
| ~ iext(uri_owl_unionOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X6) ),
inference(cnf_transformation,[],[f638]) ).
fof(f772,plain,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f584]) ).
fof(f827,plain,
ic(uri_ex_c2),
inference(resolution,[],[f735,f665]) ).
fof(f828,plain,
ic(uri_ex_c1),
inference(resolution,[],[f736,f665]) ).
fof(f829,plain,
ic(uri_ex_c3),
inference(resolution,[],[f772,f666]) ).
fof(f834,plain,
! [X2,X3,X0,X1] :
( ~ icext(uri_ex_c1,sK6(X0,uri_ex_c1,X2))
| iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X2)
| ~ ic(X0)
| icext(X2,sK6(X0,uri_ex_c1,X2))
| ~ icext(X0,sK6(X0,uri_ex_c1,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f828,f715]) ).
fof(f835,plain,
! [X2,X3,X0,X1] :
( ~ icext(X2,sK6(X0,uri_ex_c1,X2))
| iext(uri_owl_disjointUnionOf,X0,X1)
| ~ ic(X2)
| ~ ic(X0)
| icext(uri_ex_c1,sK6(X0,uri_ex_c1,X2))
| ~ icext(X0,sK6(X0,uri_ex_c1,X2))
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f828,f714]) ).
fof(f839,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X3,sK4)
| ~ ic(X1)
| ~ ic(X2)
| icext(X1,sK6(X0,X1,X2))
| icext(X2,sK6(X0,X1,X2))
| icext(X0,sK6(X0,X1,X2))
| ~ iext(uri_rdf_first,X3,X1)
| ~ ic(X0)
| ~ iext(uri_rdf_first,sK4,X2)
| iext(uri_owl_disjointUnionOf,X0,X3) ),
inference(resolution,[],[f712,f663]) ).
fof(f840,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK4,X1)
| ~ ic(X1)
| icext(X0,sK6(X2,X0,X1))
| icext(X1,sK6(X2,X0,X1))
| icext(X2,sK6(X2,X0,X1))
| ~ iext(uri_rdf_first,sK3,X0)
| ~ ic(X2)
| ~ ic(X0)
| iext(uri_owl_disjointUnionOf,X2,sK3) ),
inference(resolution,[],[f839,f661]) ).
fof(f841,plain,
! [X0,X1] :
( ~ ic(uri_ex_c2)
| icext(X0,sK6(X1,X0,uri_ex_c2))
| icext(uri_ex_c2,sK6(X1,X0,uri_ex_c2))
| icext(X1,sK6(X1,X0,uri_ex_c2))
| ~ iext(uri_rdf_first,sK3,X0)
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointUnionOf,X1,sK3) ),
inference(resolution,[],[f840,f664]) ).
fof(f842,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(uri_ex_c2,sK6(X1,X0,uri_ex_c2))
| icext(X1,sK6(X1,X0,uri_ex_c2))
| icext(X0,sK6(X1,X0,uri_ex_c2))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointUnionOf,X1,sK3) ),
inference(forward_subsumption_resolution,[],[f841,f827]) ).
fof(f867,plain,
! [X0] :
( icext(uri_ex_c2,sK6(X0,uri_ex_c1,uri_ex_c2))
| icext(X0,sK6(X0,uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK6(X0,uri_ex_c1,uri_ex_c2))
| ~ ic(X0)
| ~ ic(uri_ex_c1)
| iext(uri_owl_disjointUnionOf,X0,sK3) ),
inference(resolution,[],[f842,f662]) ).
fof(f868,plain,
! [X0] :
( ~ ic(X0)
| icext(X0,sK6(X0,uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK6(X0,uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c2,sK6(X0,uri_ex_c1,uri_ex_c2))
| iext(uri_owl_disjointUnionOf,X0,sK3) ),
inference(forward_subsumption_resolution,[],[f867,f828]) ).
fof(f869,plain,
( icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| iext(uri_owl_disjointUnionOf,uri_ex_c3,sK3) ),
inference(resolution,[],[f868,f829]) ).
fof(f895,definition,
( spl19_13
<=> iext(uri_owl_disjointUnionOf,uri_ex_c3,sK3) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f896,plain,
( iext(uri_owl_disjointUnionOf,uri_ex_c3,sK3)
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f898,definition,
( spl19_14
<=> icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl19_14])],[avatar_definition]) ).
fof(f899,plain,
( icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ spl19_14 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,definition,
( spl19_15
<=> icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f902,plain,
( icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ spl19_15 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f904,definition,
( spl19_16
<=> icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2)) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f905,plain,
( icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f906,plain,
( spl19_13
| spl19_14
| spl19_15
| spl19_16 ),
inference(avatar_split_clause,[],[f869,f904,f901,f898,f895]) ).
fof(f907,plain,
( $false
| ~ spl19_13 ),
inference(unit_resulting_resolution,[],[f660,f663,f664,f661,f662,f896]) ).
fof(f909,plain,
~ spl19_13,
inference(avatar_contradiction_clause,[],[f907]) ).
fof(f911,plain,
( ! [X0,X1] :
( iext(uri_owl_disjointUnionOf,uri_ex_c3,X0)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c3)
| icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_14 ),
inference(resolution,[],[f899,f835]) ).
fof(f916,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c3)
| icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f911,f660]) ).
fof(f917,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_c3)
| icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f916,f827]) ).
fof(f918,plain,
( ! [X0,X1] :
( icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_14 ),
inference(forward_subsumption_resolution,[],[f917,f829]) ).
fof(f920,definition,
( spl19_17
<=> ! [X0,X1] :
( ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl19_17])],[avatar_definition]) ).
fof(f921,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X0,X1) )
| ~ spl19_17 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f922,plain,
( ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| spl19_16 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f923,plain,
( spl19_17
| ~ spl19_16
| spl19_15
| ~ spl19_14 ),
inference(avatar_split_clause,[],[f918,f898,f901,f904,f920]) ).
fof(f934,plain,
( $false
| ~ spl19_14
| spl19_16 ),
inference(unit_resulting_resolution,[],[f753,f922,f899,f664,f662,f666,f661,f663]) ).
fof(f936,plain,
( ~ spl19_14
| spl19_16 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f947,plain,
( ~ icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| spl19_14 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f963,plain,
( $false
| ~ spl19_15
| spl19_16 ),
inference(unit_resulting_resolution,[],[f754,f922,f902,f664,f662,f666,f661,f663]) ).
fof(f965,plain,
( ~ spl19_15
| spl19_16 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f973,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_owl_unionOf,uri_ex_c3,X2)
| icext(X1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| icext(X0,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(uri_rdf_first,X3,X0)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) )
| ~ spl19_16 ),
inference(resolution,[],[f905,f752]) ).
fof(f1502,definition,
( spl19_64
<=> ! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(X0,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2)) ) ),
introduced(definition,[new_symbols(definition,[spl19_64])],[avatar_definition]) ).
fof(f1503,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(X0,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2)) )
| ~ spl19_64 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1518,plain,
( $false
| ~ spl19_17 ),
inference(unit_resulting_resolution,[],[f921,f661,f662,f664,f663]) ).
fof(f1520,plain,
~ spl19_17,
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1522,plain,
( $false
| ~ spl19_14
| ~ spl19_15 ),
inference(unit_resulting_resolution,[],[f729,f665,f899,f902]) ).
fof(f1524,plain,
( ! [X0,X1] :
( iext(uri_owl_disjointUnionOf,uri_ex_c3,X0)
| ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c3)
| icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_15 ),
inference(resolution,[],[f902,f834]) ).
fof(f1532,plain,
( ~ spl19_14
| ~ spl19_15 ),
inference(avatar_contradiction_clause,[],[f1522]) ).
fof(f1533,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_c2)
| ~ ic(uri_ex_c3)
| icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f1524,f660]) ).
fof(f1536,plain,
( ! [X0,X1] :
( ~ ic(uri_ex_c3)
| icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f1533,f827]) ).
fof(f1537,plain,
( ! [X0,X1] :
( icext(uri_ex_c2,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f1536,f829]) ).
fof(f1538,plain,
( ! [X0,X1] :
( ~ icext(uri_ex_c3,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| spl19_14
| ~ spl19_15 ),
inference(forward_subsumption_resolution,[],[f1537,f947]) ).
fof(f1539,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,X0,uri_ex_c1)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) )
| spl19_14
| ~ spl19_15
| ~ spl19_16 ),
inference(forward_subsumption_resolution,[],[f1538,f905]) ).
fof(f1540,plain,
( spl19_17
| spl19_14
| ~ spl19_15
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f1539,f904,f901,f898,f920]) ).
fof(f1634,plain,
( ! [X2,X0,X1] :
( icext(X0,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| icext(X1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,X2)
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) )
| ~ spl19_16 ),
inference(resolution,[],[f973,f666]) ).
fof(f1636,definition,
( spl19_68
<=> ! [X2,X1] :
( icext(X1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK3,X2)
| ~ iext(uri_rdf_first,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl19_68])],[avatar_definition]) ).
fof(f1637,plain,
( ! [X2,X1] :
( ~ iext(uri_rdf_rest,sK3,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| icext(X1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ iext(uri_rdf_first,X2,X1) )
| ~ spl19_68 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1638,plain,
( spl19_68
| spl19_64
| ~ spl19_16 ),
inference(avatar_split_clause,[],[f1634,f904,f1502,f1636]) ).
fof(f1639,plain,
( icext(uri_ex_c1,sK6(uri_ex_c3,uri_ex_c1,uri_ex_c2))
| ~ spl19_64 ),
inference(resolution,[],[f1503,f662]) ).
fof(f1640,plain,
( spl19_15
| ~ spl19_64 ),
inference(avatar_split_clause,[],[f1639,f1502,f901]) ).
fof(f1641,plain,
( $false
| spl19_14
| ~ spl19_68 ),
inference(unit_resulting_resolution,[],[f1637,f664,f661,f663,f947]) ).
fof(f1643,plain,
( spl19_14
| ~ spl19_68 ),
inference(avatar_contradiction_clause,[],[f1641]) ).
cnf(s6,plain,
( spl19_13
| spl19_14
| spl19_15
| spl19_16 ),
inference(sat_conversion,[],[f906]) ).
cnf(s7,plain,
~ spl19_13,
inference(sat_conversion,[],[f909]) ).
cnf(s8,plain,
( ~ spl19_14
| spl19_15
| ~ spl19_16
| spl19_17 ),
inference(sat_conversion,[],[f923]) ).
cnf(s9,plain,
( ~ spl19_14
| spl19_16 ),
inference(sat_conversion,[],[f936]) ).
cnf(s14,plain,
( ~ spl19_15
| spl19_16 ),
inference(sat_conversion,[],[f965]) ).
cnf(s76,plain,
~ spl19_17,
inference(sat_conversion,[],[f1520]) ).
cnf(s77,plain,
( ~ spl19_14
| ~ spl19_15 ),
inference(sat_conversion,[],[f1532]) ).
cnf(s79,plain,
( spl19_14
| ~ spl19_15
| ~ spl19_16
| spl19_17 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s89,plain,
( ~ spl19_16
| spl19_64
| spl19_68 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s90,plain,
( spl19_15
| ~ spl19_64 ),
inference(sat_conversion,[],[f1640]) ).
cnf(s91,plain,
( spl19_14
| ~ spl19_68 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s101,plain,
( ~ spl19_14
| spl19_15
| ~ spl19_16 ),
inference(rat,[],[s8,s76]) ).
cnf(s102,plain,
( spl19_14
| spl19_15
| spl19_16 ),
inference(rat,[],[s6,s7]) ).
cnf(s104,plain,
( spl19_15
| spl19_14 ),
inference(rat,[],[s89,s102,s90,s91]) ).
cnf(s105,plain,
( ~ spl19_15
| spl19_14 ),
inference(rat,[],[s14,s79,s76]) ).
cnf(s106,plain,
spl19_14,
inference(rat,[],[s105,s104]) ).
cnf(s107,plain,
~ spl19_15,
inference(rat,[],[s77,s106]) ).
cnf(s108,plain,
spl19_16,
inference(rat,[],[s9,s106]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s101,s108,s107,s106]) ).
fof(f1645,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB059+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n005.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:14:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 8.55/2.08 % (614273)Detected formulas, will run a generic FOF schedule.
% 8.55/2.08 % (614284)dis-21_1_sil=8000:lcm=predicate:random_seed=3041580649: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)
% 8.55/2.08 % (614279)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=2124398277:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.55/2.08 % (614281)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=174453421:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.55/2.08 % (614278)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=4062268002:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.55/2.08 % (614280)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=2576834223:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.55/2.08 % (614282)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3738651951:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.55/2.08 % (614281)Refutation not found, incomplete strategy
% 8.55/2.08 % (614281)------------------------------
% 8.55/2.08 % (614281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614281)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614281)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.08 % (614281)Time elapsed: 0.008 s
% 8.55/2.08 % (614281)Peak memory usage: 88 MB
% 8.55/2.08 % (614281)Instructions burned: 13 (million)
% 8.55/2.08 % (614284)Instruction limit reached!
% 8.55/2.08 % (614284)------------------------------
% 8.55/2.08 % (614284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614284)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614284)Termination reason: Instruction limit
% 8.55/2.08 % (614284)Termination phase: Saturation
% 8.55/2.08 % (614284)Time elapsed: 0.038 s
% 8.55/2.08 % (614284)Peak memory usage: 92 MB
% 8.55/2.08 % (614284)Instructions burned: 130 (million)
% 8.55/2.08 % (614283)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3987709831:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.55/2.08 % (614282)Instruction limit reached!
% 8.55/2.08 % (614282)------------------------------
% 8.55/2.08 % (614282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614282)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614282)Termination reason: Instruction limit
% 8.55/2.08 % (614282)Termination phase: Saturation
% 8.55/2.08 % (614282)Time elapsed: 0.058 s
% 8.55/2.08 % (614282)Peak memory usage: 88 MB
% 8.55/2.08 % (614282)Instructions burned: 121 (million)
% 8.55/2.08 % (614291)lrs+10_1_sil=8000:sp=occurrence:random_seed=1884768857:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.55/2.08 % (614283)Instruction limit reached!
% 8.55/2.08 % (614283)------------------------------
% 8.55/2.08 % (614283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614283)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614283)Termination reason: Instruction limit
% 8.55/2.08 % (614283)Termination phase: Saturation
% 8.55/2.08 % (614283)Time elapsed: 0.085 s
% 8.55/2.08 % (614283)Peak memory usage: 91 MB
% 8.55/2.08 % (614283)Instructions burned: 140 (million)
% 8.55/2.08 % (614291)Instruction limit reached!
% 8.55/2.08 % (614291)------------------------------
% 8.55/2.08 % (614291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614291)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614291)Termination reason: Instruction limit
% 8.55/2.08 % (614291)Termination phase: Saturation
% 8.55/2.08 % (614291)Time elapsed: 0.094 s
% 8.55/2.08 % (614291)Peak memory usage: 91 MB
% 8.55/2.08 % (614291)Instructions burned: 285 (million)
% 8.55/2.08 % (614293)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3646816851:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.55/2.08 % (614293)Refutation not found, incomplete strategy
% 8.55/2.08 % (614293)------------------------------
% 8.55/2.08 % (614293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614293)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614293)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.08 % (614293)Time elapsed: 0.008 s
% 8.55/2.08 % (614293)Peak memory usage: 88 MB
% 8.55/2.08 % (614293)Instructions burned: 12 (million)
% 8.55/2.08 % (614281)------------------------------
% 8.55/2.08 % (614281)------------------------------
% 8.55/2.08 % (614295)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2694167518:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.55/2.08 % (614295)Refutation not found, incomplete strategy
% 8.55/2.08 % (614295)------------------------------
% 8.55/2.08 % (614295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614295)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614295)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.08 % (614295)Time elapsed: 0.006 s
% 8.55/2.08 % (614295)Peak memory usage: 89 MB
% 8.55/2.08 % (614295)Instructions burned: 8 (million)
% 8.55/2.08 % (614297)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=2253656189:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.55/2.08 % (614297)Instruction limit reached!
% 8.55/2.08 % (614297)------------------------------
% 8.55/2.08 % (614297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614297)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614297)Termination reason: Instruction limit
% 8.55/2.08 % (614297)Termination phase: Saturation
% 8.55/2.08 % (614297)Time elapsed: 0.067 s
% 8.55/2.08 % (614297)Peak memory usage: 91 MB
% 8.55/2.08 % (614297)Instructions burned: 251 (million)
% 8.55/2.08 % (614299)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3706756247:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.55/2.08 % (614299)Refutation not found, incomplete strategy
% 8.55/2.08 % (614299)------------------------------
% 8.55/2.08 % (614299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614299)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614299)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.08 % (614299)Time elapsed: 0.009 s
% 8.55/2.08 % (614299)Peak memory usage: 89 MB
% 8.55/2.08 % (614299)Instructions burned: 14 (million)
% 8.55/2.08 % (614293)------------------------------
% 8.55/2.08 % (614293)------------------------------
% 8.55/2.08 % (614301)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=668160540:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.55/2.08 % (614295)------------------------------
% 8.55/2.08 % (614295)------------------------------
% 8.55/2.08 % (614303)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=351482788:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.55/2.08 % (614299)------------------------------
% 8.55/2.08 % (614299)------------------------------
% 8.55/2.08 % (614305)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1562737552:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.55/2.08 % (614303)Instruction limit reached!
% 8.55/2.08 % (614303)------------------------------
% 8.55/2.08 % (614303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614303)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614303)Termination reason: Instruction limit
% 8.55/2.08 % (614303)Termination phase: Saturation
% 8.55/2.08 % (614303)Time elapsed: 0.068 s
% 8.55/2.08 % (614303)Peak memory usage: 90 MB
% 8.55/2.08 % (614303)Instructions burned: 114 (million)
% 8.55/2.08 % (614305)Instruction limit reached!
% 8.55/2.08 % (614305)------------------------------
% 8.55/2.08 % (614305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614305)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614305)Termination reason: Instruction limit
% 8.55/2.08 % (614305)Termination phase: Saturation
% 8.55/2.08 % (614305)Time elapsed: 0.064 s
% 8.55/2.08 % (614305)Peak memory usage: 90 MB
% 8.55/2.08 % (614305)Instructions burned: 127 (million)
% 8.55/2.08 % (614308)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=653558958:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.55/2.08 % (614309)lrs+10_1_sil=8000:sp=occurrence:random_seed=720345472:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.55/2.08 % (614279)First to succeed.
% 8.55/2.08 % (614279)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-614273"
% 8.55/2.08 % (614308)Instruction limit reached!
% 8.55/2.08 % (614308)------------------------------
% 8.55/2.08 % (614308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614308)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614308)Termination reason: Instruction limit
% 8.55/2.08 % (614308)Termination phase: Saturation
% 8.55/2.08 % (614308)Time elapsed: 0.051 s
% 8.55/2.08 % (614308)Peak memory usage: 89 MB
% 8.55/2.08 % (614308)Instructions burned: 114 (million)
% 8.55/2.08 % (614310)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2612464154:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.55/2.08 % (614310)Refutation not found, incomplete strategy
% 8.55/2.08 % (614310)------------------------------
% 8.55/2.08 % (614310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.55/2.08 % (614310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.55/2.08 % (614310)CaDiCaL version: 2.1.3
% 8.55/2.08 % (614310)Termination reason: Refutation not found, incomplete strategy
% 8.55/2.08 % (614310)Time elapsed: 0.005 s
% 8.55/2.08 % (614310)Peak memory usage: 89 MB
% 8.55/2.08 % (614310)Instructions burned: 6 (million)
% 8.55/2.08 % (614313)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=691721017:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 8.55/2.08 % (614279)Refutation found. Thanks to Tanya!
% 8.55/2.08 % SZS status Theorem for theBenchmark
% 8.55/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 9.09/2.24 % (614279)------------------------------
% 9.09/2.24 % (614279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.09/2.24 % (614279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.09/2.24 % (614279)CaDiCaL version: 2.1.3
% 9.09/2.24 % (614279)Termination reason: Refutation
% 9.09/2.24 % (614279)Time elapsed: 0.807 s
% 9.09/2.24 % (614279)Peak memory usage: 132 MB
% 9.09/2.24 % (614279)Instructions burned: 1189 (million)
% 9.09/2.24 % (614279)------------------------------
% 9.09/2.24 % (614279)------------------------------
% 9.09/2.24 % (614273)Success in time 1.217 s
% 9.09/2.24 % Vampire exiting
%------------------------------------------------------------------------------