%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 03:04:28 PM UTC 2026
% Result : Theorem 9.75s 7.17s
% Output : CNFRefutation 9.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 152 ( 39 unt; 4 def)
% Number of atoms : 749 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 948 ( 351 ~; 373 |; 196 &)
% ( 24 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 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 : 8 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-4 aty)
% Number of variables : 376 ( 0 sgn 357 !; 19 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_rdf_rest,X5,uri_rdf_nil)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_003) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f6,axiom,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
~ ( icext(X1,X2)
& icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
fof(f7,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_020_Logical_Complications) ).
fof(f8,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [X0,X1,X2,X3,X4,X5,X6] :
( iext(uri_owl_complementOf,X1,uri_ex_c2)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X1)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_c)
& iext(uri_owl_intersectionOf,X0,X5)
& iext(uri_rdfs_subClassOf,uri_ex_d,X0)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_rdf_first,X4,uri_ex_c3)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X3,uri_ex_c2)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_020_Logical_Complications) ).
fof(f10,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(flattening,[],[f8]) ).
fof(f12,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_unionOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,plain,
! [X0,X1] :
( iext(uri_owl_disjointWith,X0,X1)
<=> ( ! [X2] :
( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ( ! [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
& ic(X1)
& ic(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f26,plain,
! [X4,X2,X0,X1] :
( ~ sP1(X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_intersectionOf,X0,X1)
| sP0(X0,X2,X4) )
& ( ~ sP0(X0,X2,X4)
| iext(uri_owl_intersectionOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ sP1(X0,X1,X2,X3)
| ( ( ~ iext(uri_owl_intersectionOf,X2,X3)
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| iext(uri_owl_intersectionOf,X2,X3) ) ) ),
inference(rectify,[],[f26]) ).
fof(f32,plain,
! [X6,X4,X2,X0,X1] :
( ~ sP3(X6,X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_unionOf,X0,X1)
| sP2(X0,X2,X4,X6) )
& ( ~ sP2(X0,X2,X4,X6)
| iext(uri_owl_unionOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP3(X0,X1,X2,X3,X4)
| ( ( ~ iext(uri_owl_unionOf,X3,X4)
| sP2(X3,X2,X1,X0) )
& ( ~ sP2(X3,X2,X1,X0)
| iext(uri_owl_unionOf,X3,X4) ) ) ),
inference(rectify,[],[f32]) ).
fof(f38,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f39,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X2] :
( ~ icext(X0,X2)
| icext(X1,X2) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X3] :
( ~ icext(X0,X3)
| icext(X1,X3) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( icext(X0,X2)
& ~ icext(X1,X2) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ( ! [X3] :
( ~ icext(X0,X3)
| icext(X1,X3) )
& ic(X1)
& ic(X0) ) )
& ( ( icext(X0,sK6(X0,X1))
& ~ icext(X1,sK6(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f40]) ).
fof(f42,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,[],[f18]) ).
fof(f43,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,[],[f42]) ).
fof(f44,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,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_disjointWith,X0,X1)
| ( ! [X3] :
( ~ icext(X1,X3)
| ~ icext(X0,X3) )
& ic(X1)
& ic(X0) ) )
& ( ( icext(X1,sK7(X0,X1))
& icext(X0,sK7(X0,X1)) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_disjointWith,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f44]) ).
fof(f46,plain,
( iext(uri_owl_complementOf,sK9,uri_ex_c2)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,sK9)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_c)
& iext(uri_owl_intersectionOf,sK8,sK13)
& iext(uri_rdfs_subClassOf,uri_ex_d,sK8)
& iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1)
& iext(uri_rdf_rest,sK12,uri_rdf_nil)
& iext(uri_rdf_first,sK12,uri_ex_c3)
& iext(uri_rdf_rest,sK11,sK12)
& iext(uri_rdf_first,sK11,uri_ex_c2)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12),skolemize(X5,sK13),skolemize(X6,sK14)],[f9]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| sP1(X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP3(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_unionOf,X3,X4)
| sP2(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| sP3(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f80,plain,
! [X3,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f41]) ).
fof(f82,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f83,plain,
! [X0,X1] :
( icext(X0,sK6(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f84,plain,
! [X0,X1] :
( ~ icext(X1,sK6(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_disjointWith,X0,X1)
| ~ icext(X1,X3)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f45]) ).
fof(f90,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[],[f10]) ).
fof(f91,plain,
iext(uri_owl_complementOf,sK9,uri_ex_c2),
inference(cnf_transformation,[],[f46]) ).
fof(f92,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f46]) ).
fof(f93,plain,
iext(uri_rdf_first,sK14,sK9),
inference(cnf_transformation,[],[f46]) ).
fof(f94,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f46]) ).
fof(f95,plain,
iext(uri_rdf_first,sK13,uri_ex_c),
inference(cnf_transformation,[],[f46]) ).
fof(f96,plain,
iext(uri_owl_intersectionOf,sK8,sK13),
inference(cnf_transformation,[],[f46]) ).
fof(f97,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK8),
inference(cnf_transformation,[],[f46]) ).
fof(f98,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[],[f46]) ).
fof(f99,plain,
iext(uri_rdf_rest,sK12,uri_rdf_nil),
inference(cnf_transformation,[],[f46]) ).
fof(f100,plain,
iext(uri_rdf_first,sK12,uri_ex_c3),
inference(cnf_transformation,[],[f46]) ).
fof(f101,plain,
iext(uri_rdf_rest,sK11,sK12),
inference(cnf_transformation,[],[f46]) ).
fof(f102,plain,
iext(uri_rdf_first,sK11,uri_ex_c2),
inference(cnf_transformation,[],[f46]) ).
fof(f103,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f46]) ).
fof(f104,plain,
iext(uri_rdf_first,sK10,uri_ex_c1),
inference(cnf_transformation,[],[f46]) ).
fof(f105,plain,
iext(uri_owl_unionOf,uri_ex_c,sK10),
inference(cnf_transformation,[],[f46]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP1(X3,X1,X4,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(X3,X2,X1,X0)
| ~ iext(uri_owl_unionOf,X3,X4)
| ~ sP3(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sP3(X5,X3,X1,X6,X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdfs_subClassOf,X1,X0)
| ~ ic(X1)
| ~ ic(X0)
| ~ icext(X0,sK6(X1,X0)) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdfs_subClassOf,X0,X1)
| icext(X0,sK6(X0,X1))
| ~ ic(X1)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ic(X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_disjointWith,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_92,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3),
inference(cnf_transformation,[],[f90]) ).
tcf(c_93,plain,
iext(uri_owl_unionOf,uri_ex_c,sK10),
inference(cnf_transformation,[],[f105]) ).
tcf(c_94,plain,
iext(uri_rdf_first,sK10,uri_ex_c1),
inference(cnf_transformation,[],[f104]) ).
tcf(c_95,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f103]) ).
tcf(c_96,plain,
iext(uri_rdf_first,sK11,uri_ex_c2),
inference(cnf_transformation,[],[f102]) ).
tcf(c_97,plain,
iext(uri_rdf_rest,sK11,sK12),
inference(cnf_transformation,[],[f101]) ).
tcf(c_98,plain,
iext(uri_rdf_first,sK12,uri_ex_c3),
inference(cnf_transformation,[],[f100]) ).
tcf(c_99,plain,
iext(uri_rdf_rest,sK12,uri_rdf_nil),
inference(cnf_transformation,[],[f99]) ).
tcf(c_100,plain,
iext(uri_owl_disjointWith,uri_ex_d,uri_ex_c1),
inference(cnf_transformation,[],[f98]) ).
tcf(c_101,plain,
iext(uri_rdfs_subClassOf,uri_ex_d,sK8),
inference(cnf_transformation,[],[f97]) ).
tcf(c_102,plain,
iext(uri_owl_intersectionOf,sK8,sK13),
inference(cnf_transformation,[],[f96]) ).
tcf(c_103,plain,
iext(uri_rdf_first,sK13,uri_ex_c),
inference(cnf_transformation,[],[f95]) ).
tcf(c_104,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f94]) ).
tcf(c_105,plain,
iext(uri_rdf_first,sK14,sK9),
inference(cnf_transformation,[],[f93]) ).
tcf(c_106,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f92]) ).
tcf(c_107,plain,
iext(uri_owl_complementOf,sK9,uri_ex_c2),
inference(cnf_transformation,[],[f91]) ).
tcf(c_116,plain,
ic(uri_ex_d),
inference(superposition,[status(thm)],[c_101,c_84]) ).
tcf(c_1016,plain,
! [X0: $i] :
( icext(sK8,X0)
| ~ icext(uri_ex_d,X0) ),
inference(superposition,[status(thm)],[c_101,c_86]) ).
tcf(c_1039,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(sK8,sK6(uri_ex_d,X0))
| ~ ic(uri_ex_d)
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_83,c_1016]) ).
tcf(c_1048,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(sK8,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1039,c_116,c_1039]) ).
tcf(c_1089,plain,
! [X0: $i] :
( ~ icext(uri_ex_c1,X0)
| ~ icext(uri_ex_d,X0) ),
inference(superposition,[status(thm)],[c_100,c_91]) ).
tcf(c_1128,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| ~ ic(uri_ex_d)
| ~ ic(X0)
| ~ icext(uri_ex_c1,sK6(uri_ex_d,X0)) ),
inference(superposition,[status(thm)],[c_83,c_1089]) ).
tcf(c_1146,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| ~ icext(uri_ex_c1,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1128,c_116,c_1128]) ).
tcf(c_1147,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| ~ ic(X0)
| ~ icext(uri_ex_c1,sK6(uri_ex_d,X0)) ),
inference(renaming,[status(thm)],[c_1146]) ).
tcf(c_1244,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_66]) ).
tcf(c_1265,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK14) ),
inference(global_subsumption_just,[status(thm)],[c_1244,c_106,c_1244]) ).
tcf(c_1266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(renaming,[status(thm)],[c_1265]) ).
tcf(c_1275,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,sK9)
| ~ iext(uri_rdf_rest,X1,sK14)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(superposition,[status(thm)],[c_1266,c_56]) ).
tcf(c_1350,plain,
! [X0: $i] :
( sP0(X0,uri_ex_c,sK9)
| ~ iext(uri_rdf_rest,sK13,sK14)
| ~ iext(uri_owl_intersectionOf,X0,sK13) ),
inference(superposition,[status(thm)],[c_103,c_1275]) ).
tcf(c_2217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X3,uri_ex_c2,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK11,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_81]) ).
tcf(c_2429,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_c3,uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK11,sK12)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_2217]) ).
tcf(c_3113,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_c3,uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_2429,c_97,c_99,c_2429]) ).
tcf(c_3123,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2,X1,uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_owl_unionOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_3113,c_68]) ).
tcf(c_4321,plain,
! [X0: $i] :
( sP2(X0,uri_ex_c1,uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_owl_unionOf,X0,sK10) ),
inference(superposition,[status(thm)],[c_94,c_3123]) ).
tcf(c_8397,plain,
! [X0: $i] :
( icext(sK8,X0)
| ~ icext(uri_ex_d,X0) ),
inference(superposition,[status(thm)],[c_101,c_86]) ).
tcf(c_8441,plain,
! [X0: $i] :
( ~ icext(sK9,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(superposition,[status(thm)],[c_107,c_54]) ).
tcf(c_8516,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_105,c_66]) ).
tcf(c_8532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X3,uri_ex_c2,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK11,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_81]) ).
tcf(c_8546,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(sK8,sK6(uri_ex_d,X0))
| ~ ic(uri_ex_d)
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_83,c_8397]) ).
tcf(c_8566,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,sK14) ),
inference(global_subsumption_just,[status(thm)],[c_8516,c_106,c_1244]) ).
tcf(c_8567,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(sK9,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(renaming,[status(thm)],[c_8566]) ).
tcf(c_8575,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,sK9)
| ~ iext(uri_rdf_rest,X1,sK14)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(superposition,[status(thm)],[c_8567,c_56]) ).
tcf(c_8689,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_c3,uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK12,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK11,sK12)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_98,c_8532]) ).
tcf(c_8786,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(sK8,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(global_subsumption_just,[status(thm)],[c_8546,c_1048]) ).
tcf(c_8870,plain,
! [X0: $i] :
( sP0(X0,uri_ex_c,sK9)
| ~ iext(uri_rdf_rest,sK13,sK14)
| ~ iext(uri_owl_intersectionOf,X0,sK13) ),
inference(superposition,[status(thm)],[c_103,c_8575]) ).
tcf(c_9434,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_c3,uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_8689,c_3113]) ).
tcf(c_9443,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X2,X1,uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_rest,X0,sK11)
| ~ iext(uri_owl_unionOf,X2,X0)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_9434,c_68]) ).
tcf(c_9590,plain,
! [X0: $i] :
( sP0(X0,uri_ex_c,sK9)
| ~ iext(uri_owl_intersectionOf,X0,sK13) ),
inference(global_subsumption_just,[status(thm)],[c_8870,c_104,c_1350]) ).
tcf(c_9596,plain,
sP0(sK8,uri_ex_c,sK9),
inference(superposition,[status(thm)],[c_102,c_9590]) ).
tcf(c_10557,plain,
! [X0: $i] :
( sP2(X0,uri_ex_c1,uri_ex_c2,uri_ex_c3)
| ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_owl_unionOf,X0,sK10) ),
inference(superposition,[status(thm)],[c_94,c_9443]) ).
tcf(c_14421,plain,
! [X0: $i] :
( sP2(X0,uri_ex_c1,uri_ex_c2,uri_ex_c3)
| ~ iext(uri_owl_unionOf,X0,sK10) ),
inference(global_subsumption_just,[status(thm)],[c_10557,c_95,c_4321]) ).
fof(f19,definition,
! [X0,X2,X4] :
( sP0(X0,X2,X4)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
& icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f20,definition,
! [X4,X2,X0,X1] :
( ~ sP1(X4,X2,X0,X1)
| ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X0,X2,X4) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| sP1(X4,X2,X0,X1) ),
inference(definition_folding,[],[f14,f20,f19]) ).
fof(f22,definition,
! [X0,X2,X4,X6] :
( sP2(X0,X2,X4,X6)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f23,definition,
! [X6,X4,X2,X0,X1] :
( ~ sP3(X6,X4,X2,X0,X1)
| ( iext(uri_owl_unionOf,X0,X1)
<=> sP2(X0,X2,X4,X6) ) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| sP3(X6,X4,X2,X0,X1) ),
inference(definition_folding,[],[f16,f23,f22]) ).
fof(f28,plain,
! [X0,X2,X4] :
( ( ~ sP0(X0,X2,X4)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| ( icext(X4,X5)
& icext(X2,X5) ) )
& ( ~ icext(X4,X5)
| ~ icext(X2,X5)
| icext(X0,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| ( icext(X4,X5)
& icext(X2,X5) ) )
& ( ~ icext(X0,X5)
| ~ icext(X4,X5)
| ~ icext(X2,X5) ) )
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP0(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
! [X0,X2,X4] :
( ( ~ sP0(X0,X2,X4)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| ( icext(X4,X5)
& icext(X2,X5) ) )
& ( ~ icext(X4,X5)
| ~ icext(X2,X5)
| icext(X0,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| ( icext(X4,X5)
& icext(X2,X5) ) )
& ( ~ icext(X0,X5)
| ~ icext(X4,X5)
| ~ icext(X2,X5) ) )
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP0(X0,X2,X4) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| ( icext(X2,X4)
& icext(X1,X4) ) )
& ( ~ icext(X2,X4)
| ~ icext(X1,X4)
| icext(X0,X4) ) )
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| ( icext(X2,X3)
& icext(X1,X3) ) )
& ( ~ icext(X0,X3)
| ~ icext(X2,X3)
| ~ icext(X1,X3) ) )
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ~ sP0(X0,X1,X2)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| ( icext(X2,X4)
& icext(X1,X4) ) )
& ( ~ icext(X2,X4)
| ~ icext(X1,X4)
| icext(X0,X4) ) )
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ( ( icext(X0,sK4(X0,X1,X2))
| ( icext(X2,sK4(X0,X1,X2))
& icext(X1,sK4(X0,X1,X2)) ) )
& ( ~ icext(X0,sK4(X0,X1,X2))
| ~ icext(X2,sK4(X0,X1,X2))
| ~ icext(X1,sK4(X0,X1,X2)) ) )
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f30]) ).
fof(f34,plain,
! [X0,X2,X4,X6] :
( ( ~ sP2(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) )
& ( ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) )
| icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) )
& ( ~ icext(X0,X7)
| ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) ) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP2(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X2,X4,X6] :
( ( ~ sP2(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) )
& ( ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) )
| icext(X0,X7) ) )
& ic(X6)
& ic(X4)
& ic(X2)
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| icext(X6,X7)
| icext(X4,X7)
| icext(X2,X7) )
& ( ~ icext(X0,X7)
| ( ~ icext(X6,X7)
& ~ icext(X4,X7)
& ~ icext(X2,X7) ) ) )
| ~ ic(X6)
| ~ ic(X4)
| ~ ic(X2)
| ~ ic(X0)
| sP2(X0,X2,X4,X6) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ( ~ sP2(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| icext(X3,X5)
| icext(X2,X5)
| icext(X1,X5) )
& ( ( ~ icext(X3,X5)
& ~ icext(X2,X5)
& ~ icext(X1,X5) )
| icext(X0,X5) ) )
& ic(X3)
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ? [X4] :
( ( icext(X0,X4)
| icext(X3,X4)
| icext(X2,X4)
| icext(X1,X4) )
& ( ~ icext(X0,X4)
| ( ~ icext(X3,X4)
& ~ icext(X2,X4)
& ~ icext(X1,X4) ) ) )
| ~ ic(X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ( ~ sP2(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| icext(X3,X5)
| icext(X2,X5)
| icext(X1,X5) )
& ( ( ~ icext(X3,X5)
& ~ icext(X2,X5)
& ~ icext(X1,X5) )
| icext(X0,X5) ) )
& ic(X3)
& ic(X2)
& ic(X1)
& ic(X0) ) )
& ( ( ( icext(X0,sK5(X0,X1,X2,X3))
| icext(X3,sK5(X0,X1,X2,X3))
| icext(X2,sK5(X0,X1,X2,X3))
| icext(X1,sK5(X0,X1,X2,X3)) )
& ( ~ icext(X0,sK5(X0,X1,X2,X3))
| ( ~ icext(X3,sK5(X0,X1,X2,X3))
& ~ icext(X2,sK5(X0,X1,X2,X3))
& ~ icext(X1,sK5(X0,X1,X2,X3)) ) ) )
| ~ ic(X3)
| ~ ic(X2)
| ~ ic(X1)
| ~ ic(X0)
| sP2(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X4,sK5(X0,X1,X2,X3))],[f36]) ).
fof(f55,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X2,X4) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f31]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X3,X5)
| icext(X2,X5)
| icext(X1,X5) ),
inference(cnf_transformation,[],[f37]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2,X3)
| ic(X3) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X2,X3)
| ~ icext(X0,X3)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ic(X3)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X3,X4)
| icext(X2,X4)
| icext(X1,X4)
| ~ icext(X0,X4)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_10844,plain,
! [X0: $i] :
( icext(uri_ex_c,X0)
| ~ icext(sK8,X0) ),
inference(superposition,[status(thm)],[c_9596,c_64]) ).
tcf(c_10845,plain,
! [X0: $i] :
( icext(sK9,X0)
| ~ icext(sK8,X0) ),
inference(superposition,[status(thm)],[c_9596,c_65]) ).
tcf(c_14427,plain,
! [X0: $i,X1: $i] :
( icext(uri_ex_c2,X1)
| icext(uri_ex_c1,X1)
| icext(uri_ex_c3,X1)
| ~ icext(X0,X1)
| ~ iext(uri_owl_unionOf,X0,sK10) ),
inference(superposition,[status(thm)],[c_14421,c_80]) ).
tcf(c_14434,plain,
! [X0: $i] :
( ic(uri_ex_c3)
| ~ iext(uri_owl_unionOf,X0,sK10) ),
inference(superposition,[status(thm)],[c_14421,c_76]) ).
tcf(c_15556,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(sK9,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_8786,c_10845]) ).
tcf(c_15562,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(uri_ex_c,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_8786,c_10844]) ).
tcf(c_19512,plain,
ic(uri_ex_c3),
inference(superposition,[status(thm)],[c_93,c_14434]) ).
tcf(c_19552,plain,
! [X0: $i] :
( icext(uri_ex_c2,X0)
| icext(uri_ex_c1,X0)
| icext(uri_ex_c3,X0)
| ~ icext(uri_ex_c,X0) ),
inference(superposition,[status(thm)],[c_93,c_14427]) ).
tcf(c_21247,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| ~ ic(X0)
| ~ icext(uri_ex_c2,sK6(uri_ex_d,X0)) ),
inference(superposition,[status(thm)],[c_15556,c_8441]) ).
tcf(c_21640,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(uri_ex_c2,sK6(uri_ex_d,X0))
| icext(uri_ex_c1,sK6(uri_ex_d,X0))
| icext(uri_ex_c3,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_15562,c_19552]) ).
tcf(c_22438,plain,
! [X0: $i] :
( iext(uri_rdfs_subClassOf,uri_ex_d,X0)
| icext(uri_ex_c3,sK6(uri_ex_d,X0))
| ~ ic(X0) ),
inference(global_subsumption_just,[status(thm)],[c_21640,c_1147,c_21247,c_21640]) ).
tcf(c_22447,plain,
( iext(uri_rdfs_subClassOf,uri_ex_d,uri_ex_c3)
| ~ ic(uri_ex_c3)
| ~ ic(uri_ex_d) ),
inference(superposition,[status(thm)],[c_22438,c_82]) ).
tcf(c_22449,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22447,c_19512,c_116,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB020+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n002.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 15:32:54 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.44 % Proving...
% 9.75/7.17 % SZS status Started for theBenchmark.p
% 9.75/7.17 % SZS status Theorem for theBenchmark.p
% 9.75/7.17
% 9.75/7.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.75/7.17
% 9.75/7.17 % ------ iProver source info
% 9.75/7.17
% 9.75/7.17 % git: date: 2026-07-19 20:42:38 +0200
% 9.75/7.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.75/7.17 % git: non_committed_changes: false
% 9.75/7.17
% 9.75/7.17 % ------ Parsing...
% 9.75/7.17 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 % ------ Problem Properties
% 9.75/7.17
% 9.75/7.17 %
% 9.75/7.17 % clauses 59
% 9.75/7.17 % conjectures 1
% 9.75/7.17 % EPR 48
% 9.75/7.17 % Horn 51
% 9.75/7.17 % unary 16
% 9.75/7.17 % binary 15
% 9.75/7.17 % lits 171
% 9.75/7.17 % lits eq 0
% 9.75/7.17 % fd_pure 0
% 9.75/7.17 % fd_pseudo 0
% 9.75/7.17 % fd_cond 0
% 9.75/7.17 % fd_pseudo_cond 0
% 9.75/7.17 % AC symbols 0
% 9.75/7.17
% 9.75/7.17 % ------ Input Options Time Limit: Unbounded
% 9.75/7.17
% 9.75/7.17
% 9.75/7.17 % ------
% 9.75/7.17 % Current options:
% 9.75/7.17 % ------
% 9.75/7.17
% 9.75/7.17
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % ------ Proving...
% 9.75/7.17 %
% 9.75/7.17
% 9.75/7.17 % SZS status Theorem for theBenchmark.p
% 9.75/7.17
% 9.75/7.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.75/7.17
% 9.75/7.17
%------------------------------------------------------------------------------