%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB069+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.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 : Fri Sep 25 03:04:36 PM UTC 2026
% Result : Theorem 10.84s 2.72s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 6
% Syntax : Number of formulae : 133 ( 23 unt; 1 def)
% Number of atoms : 760 ( 0 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 995 ( 368 ~; 525 |; 97 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 337 ( 0 sgn 304 !; 33 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
fof(f350,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
~ ( icext(X1,X2)
& icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_disjointwith) ).
fof(f374,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6] :
~ ( icext(X5,X6)
& icext(X3,X6) )
& ! [X6] :
~ ( icext(X5,X6)
& icext(X1,X6) )
& ! [X6] :
~ ( icext(X3,X6)
& icext(X1,X6) )
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X0,X1) )
=> ? [X7] :
( iext(uri_owl_members,X7,X0)
& icext(uri_owl_AllDisjointClasses,X7) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_ndis_alldisjointclasses_fi_003) ).
fof(f559,conjecture,
? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_owl_members,X0,X1)
& iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_c3)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldisjointclasses_bw) ).
fof(f560,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_owl_members,X0,X1)
& iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_c3)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_c2) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_c3)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X1,uri_ex_c1)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_first,X2,uri_ex_c2)
& iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldisjointclasses_bw) ).
fof(f563,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X8] :
~ ( icext(X5,X8)
& icext(X3,X8) )
& ! [X7] :
~ ( icext(X5,X7)
& icext(X1,X7) )
& ! [X6] :
~ ( icext(X3,X6)
& icext(X1,X6) )
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X0,X1) )
=> ? [X9] :
( iext(uri_owl_members,X9,X0)
& icext(uri_owl_AllDisjointClasses,X9) ) ),
inference(rectify,[],[f374]) ).
fof(f564,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_owl_members,X0,X1)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,uri_ex_c3)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(uri_rdf_first,X2,uri_ex_c2) ),
inference(ennf_transformation,[],[f560]) ).
fof(f569,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( icext(X5,X8)
& icext(X3,X8) )
| ? [X7] :
( icext(X5,X7)
& icext(X1,X7) )
| ? [X6] :
( icext(X3,X6)
& icext(X1,X6) )
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ? [X9] :
( iext(uri_owl_members,X9,X0)
& icext(uri_owl_AllDisjointClasses,X9) ) ),
inference(ennf_transformation,[],[f563]) ).
fof(f570,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X8] :
( icext(X5,X8)
& icext(X3,X8) )
| ? [X7] :
( icext(X5,X7)
& icext(X1,X7) )
| ? [X6] :
( icext(X3,X6)
& icext(X1,X6) )
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ? [X9] :
( iext(uri_owl_members,X9,X0)
& icext(uri_owl_AllDisjointClasses,X9) ) ),
inference(flattening,[],[f569]) ).
fof(f598,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f350]) ).
fof(f609,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f614,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0(X3,X5)
| ? [X8] :
( icext(X5,X8)
& icext(X1,X8) )
| ? [X7] :
( icext(X3,X7)
& icext(X1,X7) )
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ? [X6] :
( iext(uri_owl_members,X6,X0)
& icext(uri_owl_AllDisjointClasses,X6) ) ),
inference(rectify,[],[f606]) ).
fof(f615,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0(X3,X5)
| ( icext(X5,sK4(X1,X5))
& icext(X1,sK4(X1,X5)) )
| ( icext(X3,sK3(X1,X3))
& icext(X1,sK3(X1,X3)) )
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ( iext(uri_owl_members,sK2(X0),X0)
& icext(uri_owl_AllDisjointClasses,sK2(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X6,sK2(X0)),skolemize(X7,sK3(X1,X3)),skolemize(X8,sK4(X1,X5))],[f614]) ).
fof(f624,plain,
( iext(uri_rdf_rest,sK13,uri_rdf_nil)
& iext(uri_rdf_first,sK13,uri_ex_c3)
& iext(uri_rdf_rest,sK14,sK15)
& iext(uri_rdf_first,sK14,uri_ex_c1)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3)
& iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_rest,sK15,sK13)
& iext(uri_rdf_first,sK15,uri_ex_c2)
& iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f561]) ).
fof(f633,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_disjointWith,X0,X1)
| ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ) ),
inference(nnf_transformation,[],[f598]) ).
fof(f634,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_disjointWith,X0,X1)
| ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ) ),
inference(flattening,[],[f633]) ).
fof(f635,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_disjointWith,X0,X1)
| ( ! [X3] :
( ~ icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ) ),
inference(rectify,[],[f634]) ).
fof(f636,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_disjointWith,X0,X1)
| ( ! [X3] :
( ~ icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) ) )
& ( ( icext(X1,sK19(X0,X1))
& icext(X0,sK19(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X2,sK19(X0,X1))],[f635]) ).
fof(f641,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_owl_members,X0,X1)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,uri_ex_c3)
| ~ iext(uri_rdf_rest,X2,X3)
| ~ iext(uri_rdf_first,X2,uri_ex_c2) ),
inference(cnf_transformation,[],[f564]) ).
fof(f648,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f609]) ).
fof(f661,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X5,sK4(X1,X5))
| icext(X3,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| iext(uri_owl_members,sK2(X0),X0) ),
inference(cnf_transformation,[],[f615]) ).
fof(f662,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X1,sK4(X1,X5))
| icext(X3,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| iext(uri_owl_members,sK2(X0),X0) ),
inference(cnf_transformation,[],[f615]) ).
fof(f663,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X5,sK4(X1,X5))
| icext(X1,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| iext(uri_owl_members,sK2(X0),X0) ),
inference(cnf_transformation,[],[f615]) ).
fof(f664,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X1,sK4(X1,X5))
| icext(X1,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| iext(uri_owl_members,sK2(X0),X0) ),
inference(cnf_transformation,[],[f615]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X5,sK4(X1,X5))
| icext(X3,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| icext(uri_owl_AllDisjointClasses,sK2(X0)) ),
inference(cnf_transformation,[],[f615]) ).
fof(f666,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X1,sK4(X1,X5))
| icext(X3,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| icext(uri_owl_AllDisjointClasses,sK2(X0)) ),
inference(cnf_transformation,[],[f615]) ).
fof(f667,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X5,sK4(X1,X5))
| icext(X1,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| icext(uri_owl_AllDisjointClasses,sK2(X0)) ),
inference(cnf_transformation,[],[f615]) ).
fof(f668,plain,
! [X2,X3,X0,X1,X4,X5] :
( sP0(X3,X5)
| icext(X1,sK4(X1,X5))
| icext(X1,sK3(X1,X3))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| icext(uri_owl_AllDisjointClasses,sK2(X0)) ),
inference(cnf_transformation,[],[f615]) ).
fof(f692,plain,
iext(uri_rdf_rest,sK13,uri_rdf_nil),
inference(cnf_transformation,[],[f624]) ).
fof(f693,plain,
iext(uri_rdf_first,sK13,uri_ex_c3),
inference(cnf_transformation,[],[f624]) ).
fof(f694,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f624]) ).
fof(f695,plain,
iext(uri_rdf_first,sK14,uri_ex_c1),
inference(cnf_transformation,[],[f624]) ).
fof(f696,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3),
inference(cnf_transformation,[],[f624]) ).
fof(f697,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f624]) ).
fof(f698,plain,
iext(uri_rdf_rest,sK15,sK13),
inference(cnf_transformation,[],[f624]) ).
fof(f699,plain,
iext(uri_rdf_first,sK15,uri_ex_c2),
inference(cnf_transformation,[],[f624]) ).
fof(f700,plain,
iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3),
inference(cnf_transformation,[],[f624]) ).
fof(f731,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ~ icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f636]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ iext(uri_rdf_type,X3,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X2,uri_ex_c1)
| ~ iext(uri_rdf_first,X1,uri_ex_c3)
| ~ iext(uri_rdf_first,X0,uri_ex_c2)
| ~ iext(uri_owl_members,X3,X2)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(cnf_transformation,[],[f641]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f648]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| icext(uri_owl_AllDisjointClasses,sK2(X2))
| icext(X3,sK4(X3,X5))
| icext(X3,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f668]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| icext(uri_owl_AllDisjointClasses,sK2(X2))
| icext(X5,sK4(X3,X5))
| icext(X3,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f667]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| icext(uri_owl_AllDisjointClasses,sK2(X2))
| icext(X3,sK4(X3,X5))
| icext(X1,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f666]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| icext(uri_owl_AllDisjointClasses,sK2(X2))
| icext(X5,sK4(X3,X5))
| icext(X1,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f665]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| iext(uri_owl_members,sK2(X2),X2)
| icext(X3,sK4(X3,X5))
| icext(X3,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f664]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| iext(uri_owl_members,sK2(X2),X2)
| icext(X5,sK4(X3,X5))
| icext(X3,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f663]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| iext(uri_owl_members,sK2(X2),X2)
| icext(X3,sK4(X3,X5))
| icext(X1,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f662]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sP0(X1,X5)
| iext(uri_owl_members,sK2(X2),X2)
| icext(X5,sK4(X3,X5))
| icext(X1,sK3(X3,X1))
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_rest,X0,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f661]) ).
tcf(c_100,plain,
iext(uri_owl_disjointWith,uri_ex_c2,uri_ex_c3),
inference(cnf_transformation,[],[f700]) ).
tcf(c_101,plain,
iext(uri_rdf_first,sK15,uri_ex_c2),
inference(cnf_transformation,[],[f699]) ).
tcf(c_102,plain,
iext(uri_rdf_rest,sK15,sK13),
inference(cnf_transformation,[],[f698]) ).
tcf(c_103,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f697]) ).
tcf(c_104,plain,
iext(uri_owl_disjointWith,uri_ex_c1,uri_ex_c3),
inference(cnf_transformation,[],[f696]) ).
tcf(c_105,plain,
iext(uri_rdf_first,sK14,uri_ex_c1),
inference(cnf_transformation,[],[f695]) ).
tcf(c_106,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f694]) ).
tcf(c_107,plain,
iext(uri_rdf_first,sK13,uri_ex_c3),
inference(cnf_transformation,[],[f693]) ).
tcf(c_108,plain,
iext(uri_rdf_rest,sK13,uri_rdf_nil),
inference(cnf_transformation,[],[f692]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[],[f731]) ).
tcf(c_6151,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,sK15,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,X2,uri_ex_c3)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_owl_members,X0,X1) ),
inference(superposition,[status(thm)],[c_101,c_49]) ).
tcf(c_6178,plain,
! [X0: $i,X1: $i] :
( ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK13,uri_ex_c3)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_owl_members,X0,X1) ),
inference(superposition,[status(thm)],[c_108,c_6151]) ).
tcf(c_6179,plain,
! [X0: $i,X1: $i] :
( ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses)
| ~ iext(uri_rdf_rest,X1,sK15)
| ~ iext(uri_rdf_first,X1,uri_ex_c1)
| ~ iext(uri_owl_members,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6178,c_102,c_107]) ).
tcf(c_6202,plain,
! [X0: $i] :
( ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_owl_members,X0,sK14)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses) ),
inference(superposition,[status(thm)],[c_106,c_6179]) ).
tcf(c_6203,plain,
! [X0: $i] :
( ~ iext(uri_owl_members,X0,sK14)
| ~ iext(uri_rdf_type,X0,uri_owl_AllDisjointClasses) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6202,c_105]) ).
tcf(c_6211,plain,
! [X0: $i] :
( ~ icext(uri_owl_AllDisjointClasses,X0)
| ~ iext(uri_owl_members,X0,sK14) ),
inference(superposition,[status(thm)],[c_55,c_6203]) ).
tcf(c_6467,plain,
! [X0: $i] :
( ~ icext(uri_ex_c3,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(superposition,[status(thm)],[c_100,c_143]) ).
tcf(c_6468,plain,
! [X0: $i] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(superposition,[status(thm)],[c_103,c_143]) ).
tcf(c_6469,plain,
! [X0: $i] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c3,X0) ),
inference(superposition,[status(thm)],[c_104,c_143]) ).
tcf(c_8126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X3,sK4(X3,X1))
| icext(X3,sK3(X3,X2))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_69]) ).
tcf(c_8428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X3,sK3(X3,X2))
| icext(X1,sK4(X3,X1))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_70]) ).
tcf(c_8578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X3,sK4(X3,X1))
| icext(X2,sK3(X3,X2))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_71]) ).
tcf(c_8654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X2,sK3(X3,X2))
| icext(X1,sK4(X3,X1))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_72]) ).
tcf(c_8826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X3,sK4(X3,X1))
| icext(X3,sK3(X3,X2))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_73]) ).
tcf(c_8907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X3,sK3(X3,X2))
| icext(X1,sK4(X3,X1))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_74]) ).
tcf(c_9095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X3,sK4(X3,X1))
| icext(X2,sK3(X3,X2))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_75]) ).
tcf(c_9179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X2,sK3(X3,X2))
| icext(X1,sK4(X3,X1))
| ~ iext(uri_rdf_rest,sK15,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK14,X3)
| ~ iext(uri_rdf_first,sK15,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_76]) ).
tcf(c_16557,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8126]) ).
tcf(c_16560,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16557,c_108,c_102]) ).
tcf(c_17739,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8428]) ).
tcf(c_17742,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17739,c_108,c_102]) ).
tcf(c_17808,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X0,sK3(X0,X1))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ icext(uri_ex_c1,sK4(X0,uri_ex_c3)) ),
inference(superposition,[status(thm)],[c_17742,c_6469]) ).
tcf(c_18057,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c1,sK3(uri_ex_c1,X1))
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_16560,c_17808]) ).
tcf(c_18058,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c1,sK3(uri_ex_c1,X1))
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18057,c_105]) ).
tcf(c_18097,plain,
! [X0: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(equality_factoring,[status(thm)],[c_18058]) ).
tcf(c_19218,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8578]) ).
tcf(c_19221,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19218,c_108,c_102]) ).
tcf(c_19272,plain,
! [X0: $i] :
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X0,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK15,uri_ex_c2)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(superposition,[status(thm)],[c_19221,c_6468]) ).
tcf(c_21721,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8654]) ).
tcf(c_21724,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21721,c_108,c_102]) ).
tcf(c_21847,plain,
! [X0: $i] :
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK15,uri_ex_c2)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(superposition,[status(thm)],[c_21724,c_6468]) ).
tcf(c_24560,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8826]) ).
tcf(c_24563,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24560,c_108,c_102]) ).
tcf(c_26768,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_8907]) ).
tcf(c_26771,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X1,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26768,c_108,c_102]) ).
tcf(c_26831,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X0,sK3(X0,X1))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ icext(uri_ex_c1,sK4(X0,uri_ex_c3)) ),
inference(superposition,[status(thm)],[c_26771,c_6469]) ).
tcf(c_27223,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c1,sK3(uri_ex_c1,X1))
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_24563,c_26831]) ).
tcf(c_27226,plain,
! [X0: $i,X1: $i] :
( sP0(X1,uri_ex_c3)
| sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c1,sK3(uri_ex_c1,X1))
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK15,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27223,c_105]) ).
tcf(c_27691,plain,
! [X0: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c1,sK3(uri_ex_c1,X0))
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(equality_factoring,[status(thm)],[c_27226]) ).
tcf(c_29341,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_9095]) ).
tcf(c_29344,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X1,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29341,c_108,c_102]) ).
tcf(c_29397,plain,
! [X0: $i] :
( sP0(uri_ex_c2,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(X0,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK15,uri_ex_c2)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(superposition,[status(thm)],[c_29344,c_6468]) ).
tcf(c_32177,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_rest,sK13,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK15,sK13)
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_107,c_9179]) ).
tcf(c_32180,plain,
! [X0: $i,X1: $i] :
( sP0(X0,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X1,uri_ex_c3))
| icext(X0,sK3(X1,X0))
| ~ iext(uri_rdf_first,sK14,X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32177,c_108,c_102]) ).
tcf(c_32230,plain,
! [X0: $i] :
( sP0(uri_ex_c2,uri_ex_c3)
| iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK15,uri_ex_c2)
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(superposition,[status(thm)],[c_32180,c_6468]) ).
fof(f605,definition,
! [X3,X5] :
( ~ sP0(X3,X5)
| ? [X8] :
( icext(X5,X8)
& icext(X3,X8) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f606,plain,
! [X0,X1,X2,X3,X4,X5] :
( sP0(X3,X5)
| ? [X7] :
( icext(X5,X7)
& icext(X1,X7) )
| ? [X6] :
( icext(X3,X6)
& icext(X1,X6) )
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X0,X1)
| ? [X9] :
( iext(uri_owl_members,X9,X0)
& icext(uri_owl_AllDisjointClasses,X9) ) ),
inference(definition_folding,[],[f570,f605]) ).
fof(f611,plain,
! [X3,X5] :
( ~ sP0(X3,X5)
| ? [X8] :
( icext(X5,X8)
& icext(X3,X8) ) ),
inference(nnf_transformation,[],[f605]) ).
fof(f612,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ? [X2] :
( icext(X1,X2)
& icext(X0,X2) ) ),
inference(rectify,[],[f611]) ).
fof(f613,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ( icext(X1,sK1(X0,X1))
& icext(X0,sK1(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f612]) ).
fof(f659,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| icext(X1,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f613]) ).
fof(f660,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| icext(X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( icext(X0,sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f660]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( icext(X1,sK1(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f659]) ).
tcf(c_6735,plain,
! [X0: $i] :
( ~ sP0(uri_ex_c2,X0)
| ~ icext(uri_ex_c3,sK1(uri_ex_c2,X0)) ),
inference(superposition,[status(thm)],[c_67,c_6467]) ).
tcf(c_7701,plain,
~ sP0(uri_ex_c2,uri_ex_c3),
inference(superposition,[status(thm)],[c_68,c_6735]) ).
tcf(c_19327,plain,
! [X0: $i] :
( icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(X0,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19272,c_7701,c_101]) ).
tcf(c_19703,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,uri_ex_c2) ),
inference(superposition,[status(thm)],[c_18097,c_19327]) ).
tcf(c_19704,plain,
( icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19703,c_7701,c_105,c_101]) ).
tcf(c_21895,plain,
! [X0: $i] :
( icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21847,c_7701,c_101]) ).
tcf(c_22021,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(uri_ex_c1,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,uri_ex_c2) ),
inference(superposition,[status(thm)],[c_18097,c_21895]) ).
tcf(c_22022,plain,
( icext(uri_owl_AllDisjointClasses,sK2(sK14))
| icext(uri_ex_c3,sK4(uri_ex_c1,uri_ex_c3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22021,c_7701,c_105,c_101]) ).
tcf(c_22043,plain,
( icext(uri_owl_AllDisjointClasses,sK2(sK14))
| ~ icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3)) ),
inference(superposition,[status(thm)],[c_22022,c_6469]) ).
tcf(c_22053,plain,
icext(uri_owl_AllDisjointClasses,sK2(sK14)),
inference(global_subsumption_just,[status(thm)],[c_22043,c_19704,c_22043]) ).
tcf(c_29458,plain,
! [X0: $i] :
( iext(uri_owl_members,sK2(sK14),sK14)
| icext(X0,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29397,c_7701,c_101]) ).
tcf(c_29946,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3))
| iext(uri_owl_members,sK2(sK14),sK14)
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,uri_ex_c2) ),
inference(superposition,[status(thm)],[c_27691,c_29458]) ).
tcf(c_29947,plain,
( icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3))
| iext(uri_owl_members,sK2(sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29946,c_7701,c_105,c_101]) ).
tcf(c_32283,plain,
! [X0: $i] :
( iext(uri_owl_members,sK2(sK14),sK14)
| icext(uri_ex_c3,sK4(X0,uri_ex_c3))
| ~ iext(uri_rdf_first,sK14,X0)
| ~ icext(uri_ex_c1,sK3(X0,uri_ex_c2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32230,c_7701,c_101]) ).
tcf(c_32592,plain,
( sP0(uri_ex_c2,uri_ex_c3)
| icext(uri_ex_c3,sK4(uri_ex_c1,uri_ex_c3))
| iext(uri_owl_members,sK2(sK14),sK14)
| ~ iext(uri_rdf_first,sK14,uri_ex_c1)
| ~ iext(uri_rdf_first,sK15,uri_ex_c2) ),
inference(superposition,[status(thm)],[c_27691,c_32283]) ).
tcf(c_32593,plain,
( icext(uri_ex_c3,sK4(uri_ex_c1,uri_ex_c3))
| iext(uri_owl_members,sK2(sK14),sK14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32592,c_7701,c_105,c_101]) ).
tcf(c_32600,plain,
( iext(uri_owl_members,sK2(sK14),sK14)
| ~ icext(uri_ex_c1,sK4(uri_ex_c1,uri_ex_c3)) ),
inference(superposition,[status(thm)],[c_32593,c_6469]) ).
tcf(c_32603,plain,
iext(uri_owl_members,sK2(sK14),sK14),
inference(global_subsumption_just,[status(thm)],[c_32600,c_29947,c_32600]) ).
tcf(c_32611,plain,
~ icext(uri_owl_AllDisjointClasses,sK2(sK14)),
inference(superposition,[status(thm)],[c_32603,c_6211]) ).
tcf(c_32612,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32611,c_22053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB069+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 15:44:38 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 10.84/2.72 % SZS status Started for theBenchmark.p
% 10.84/2.72 % SZS status Theorem for theBenchmark.p
% 10.84/2.72
% 10.84/2.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.84/2.72
% 10.84/2.72 % ------ iProver source info
% 10.84/2.72
% 10.84/2.72 % git: date: 2026-07-19 20:42:38 +0200
% 10.84/2.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.84/2.72 % git: non_committed_changes: false
% 10.84/2.72
% 10.84/2.72 % ------ Parsing...
% 10.84/2.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.84/2.72
% 10.84/2.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 10.84/2.72
% 10.84/2.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.84/2.72
% 10.84/2.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.84/2.72 % ------ Proving...
% 10.84/2.72 % ------ Problem Properties
% 10.84/2.72
% 10.84/2.72 %
% 10.84/2.72 % clauses 82
% 10.84/2.72 % conjectures 1
% 10.84/2.72 % EPR 54
% 10.84/2.72 % Horn 62
% 10.84/2.72 % unary 29
% 10.84/2.72 % binary 15
% 10.84/2.72 % lits 316
% 10.84/2.72 % lits eq 8
% 10.84/2.72 % fd_pure 0
% 10.84/2.72 % fd_pseudo 0
% 10.84/2.72 % fd_cond 0
% 10.84/2.72 % fd_pseudo_cond 4
% 10.84/2.72 % AC symbols 0
% 10.84/2.72
% 10.84/2.72 % ------ Schedule dynamic 5 is on
% 10.84/2.72
% 10.84/2.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.84/2.72
% 10.84/2.72
% 10.84/2.72 % ------
% 10.84/2.72 % Current options:
% 10.84/2.72 % ------
% 10.84/2.72
% 10.84/2.72
% 10.84/2.72 %
% 10.84/2.72
% 10.84/2.72 % ------ Proving...
% 10.84/2.72 %
% 10.84/2.72
% 10.84/2.72 % SZS status Theorem for theBenchmark.p
% 10.84/2.72
% 10.84/2.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.84/2.72
% 10.84/2.72
%------------------------------------------------------------------------------