%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB026+2 : 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 03:04:31 PM UTC 2026
% Result : Theorem 0.82s 1.17s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 8
% Syntax : Number of formulae : 86 ( 26 unt; 0 def)
% Number of atoms : 304 ( 46 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 354 ( 136 ~; 147 |; 57 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 149 ( 0 sgn 133 !; 16 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
<=> ip(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f6,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f7,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_026_Inferred_Property_Characteristics_I) ).
fof(f8,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_u)
& iext(uri_owl_oneOf,X1,X3)
& iext(uri_rdfs_range,uri_ex_p,X1)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,uri_ex_w)
& iext(uri_owl_oneOf,X0,X2)
& iext(uri_rdfs_domain,uri_ex_p,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_026_Inferred_Property_Characteristics_I) ).
fof(f10,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f8]) ).
fof(f11,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X3 = X2 )
& ic(X0) ) ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| X1 = X2 )
& ip(X0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| X1 = X2 )
& ip(X0) ) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) )
& ( ~ ip(X0)
| iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| X3 = X2 )
& ( X2 != X3
| icext(X0,X3) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| X3 = X2 )
& ( X2 != X3
| icext(X0,X3) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| X2 = X4 )
& ( X2 != X4
| icext(X0,X4) ) )
& ic(X0) ) )
& ( ? [X3] :
( ( icext(X0,X3)
| X3 = X2 )
& ( ~ icext(X0,X3)
| X2 != X3 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(rectify,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| ( ! [X4] :
( ( ~ icext(X0,X4)
| X2 = X4 )
& ( X2 != X4
| icext(X0,X4) ) )
& ic(X0) ) )
& ( ( ( icext(X0,sK0(X0,X2))
| sK0(X0,X2) = X2 )
& ( ~ icext(X0,sK0(X0,X2))
| sK0(X0,X2) != X2 ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f21]) ).
fof(f23,plain,
! [X0] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ( ! [X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| X1 = X2 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X2,X3)
& iext(X0,X1,X3)
& X1 != X2 )
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f24,plain,
! [X0] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ( ! [X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| X1 = X2 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X2,X3)
& iext(X0,X1,X3)
& X1 != X2 )
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6)
| X4 = X5 )
& ip(X0) ) )
& ( ? [X1,X2,X3] :
( iext(X0,X2,X3)
& iext(X0,X1,X3)
& X1 != X2 )
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6)
| X4 = X5 )
& ip(X0) ) )
& ( ( iext(X0,sK2(X0),sK3(X0))
& iext(X0,sK1(X0),sK3(X0))
& sK1(X0) != sK2(X0) )
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f25]) ).
fof(f27,plain,
( iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_u)
& iext(uri_owl_oneOf,sK5,sK7)
& iext(uri_rdfs_range,uri_ex_p,sK5)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_w)
& iext(uri_owl_oneOf,sK4,sK6)
& iext(uri_rdfs_domain,uri_ex_p,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f9]) ).
fof(f28,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4 ),
inference(cnf_transformation,[],[f22]) ).
fof(f41,plain,
! [X0] :
( iext(X0,sK2(X0),sK3(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X0] :
( iext(X0,sK1(X0),sK3(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f44,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f10]) ).
fof(f49,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f27]) ).
fof(f50,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
iext(uri_owl_oneOf,sK4,sK6),
inference(cnf_transformation,[],[f27]) ).
fof(f52,plain,
iext(uri_rdfs_domain,uri_ex_p,sK4),
inference(cnf_transformation,[],[f27]) ).
tcf(c_50,plain,
! [X0: $i] :
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X3,X1)
| ~ iext(uri_rdfs_domain,X0,X3)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_54,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f33]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ icext(X0,X3)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_60,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK1(X0) != sK2(X0) ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_61,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK1(X0),sK3(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_62,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK2(X0),sK3(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_65,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f44]) ).
tcf(c_66,plain,
iext(uri_rdfs_domain,uri_ex_p,sK4),
inference(cnf_transformation,[],[f52]) ).
tcf(c_67,plain,
iext(uri_owl_oneOf,sK4,sK6),
inference(cnf_transformation,[],[f51]) ).
tcf(c_68,plain,
iext(uri_rdf_first,sK6,uri_ex_w),
inference(cnf_transformation,[],[f50]) ).
tcf(c_69,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f49]) ).
tcf(c_89,plain,
! [X0: $i] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(prop_impl_just,[status(thm)],[c_50]) ).
tcf(c_90,plain,
! [X0: $i] :
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(renaming,[status(thm)],[c_89]) ).
tcf(c_464,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,sK2(X1),sK3(X1))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_62]) ).
tcf(c_465,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK2(X0),sK3(X0))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(unflattening,[status(thm)],[c_464]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X1)
| iext(X1,sK1(X1),sK3(X1))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_61]) ).
tcf(c_477,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK1(X0),sK3(X0))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(unflattening,[status(thm)],[c_476]) ).
tcf(c_488,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ iext(uri_rdf_type,X1,uri_rdf_Property)
| ( X0 != X1 )
| ( sK1(X0) != sK2(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_60]) ).
tcf(c_489,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ( sK1(X0) != sK2(X0) ) ),
inference(unflattening,[status(thm)],[c_488]) ).
tcf(c_2328,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(demodulation,[status(thm)],[c_65]) ).
tcf(c_2620,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(superposition,[status(thm)],[c_51,c_2328]) ).
tcf(c_2634,plain,
! [X0: $i] :
( icext(X0,uri_ex_p)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,X0) ),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_2698,plain,
icext(uri_rdf_Property,uri_ex_p),
inference(superposition,[status(thm)],[c_54,c_2634]) ).
tcf(c_2832,plain,
! [X0: $i,X1: $i] :
( icext(uri_rdf_Property,X0)
| ~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w )
| ~ icext(X0,X1)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,sK6) ),
inference(superposition,[status(thm)],[c_68,c_59]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w )
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2846,c_69]) ).
tcf(c_3032,plain,
! [X0: $i] :
( ( X0 = uri_ex_w )
| ~ icext(sK4,X0) ),
inference(superposition,[status(thm)],[c_67,c_2852]) ).
tcf(c_3049,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK2(X0))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(superposition,[status(thm)],[c_465,c_53]) ).
tcf(c_3103,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK1(X0))
| ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(superposition,[status(thm)],[c_477,c_53]) ).
tcf(c_3289,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK2(X0))
| ~ icext(uri_rdf_Property,X0)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_3049]) ).
tcf(c_3295,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK2(X0))
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3289,c_54,c_2832,c_3289]) ).
tcf(c_3307,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(sK4,sK2(uri_ex_p)) ),
inference(superposition,[status(thm)],[c_66,c_3295]) ).
tcf(c_3308,plain,
icext(sK4,sK2(uri_ex_p)),
inference(forward_subsumption_resolution,[status(thm)],[c_3307,c_2620]) ).
tcf(c_3320,plain,
sK2(uri_ex_p) = uri_ex_w,
inference(superposition,[status(thm)],[c_3308,c_3032]) ).
tcf(c_3326,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ( sK1(uri_ex_p) != uri_ex_w ) ),
inference(superposition,[status(thm)],[c_3320,c_489]) ).
tcf(c_3331,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ( sK1(uri_ex_p) != uri_ex_w ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3326,c_2620]) ).
tcf(c_3404,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK1(X0))
| ~ icext(uri_rdf_Property,X0)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_3103]) ).
tcf(c_3441,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| icext(X1,sK1(X0))
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_3404,c_54,c_2832,c_3404]) ).
tcf(c_3453,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| icext(sK4,sK1(uri_ex_p)) ),
inference(superposition,[status(thm)],[c_66,c_3441]) ).
tcf(c_3454,plain,
icext(sK4,sK1(uri_ex_p)),
inference(forward_subsumption_resolution,[status(thm)],[c_3453,c_2620]) ).
tcf(c_3475,plain,
sK1(uri_ex_p) = uri_ex_w,
inference(superposition,[status(thm)],[c_3454,c_3032]) ).
tcf(c_3479,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(backward_subsumption_resolution,[status(thm)],[c_3331,c_3475]) ).
tcf(c_3484,plain,
~ icext(uri_rdf_Property,uri_ex_p),
inference(superposition,[status(thm)],[c_51,c_3479]) ).
tcf(c_3485,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3484,c_2698]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB026+2 : 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 15:34:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 0.82/1.17 % SZS status Started for theBenchmark.p
% 0.82/1.17 % SZS status Theorem for theBenchmark.p
% 0.82/1.17
% 0.82/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.82/1.17
% 0.82/1.17 % ------ iProver source info
% 0.82/1.17
% 0.82/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 0.82/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.82/1.17 % git: non_committed_changes: false
% 0.82/1.17
% 0.82/1.17 % ------ Parsing...
% 0.82/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.82/1.17
% 0.82/1.17 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 0.82/1.17
% 0.82/1.17 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.82/1.17
% 0.82/1.17 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.82/1.17 % ------ Proving...
% 0.82/1.17 % ------ Problem Properties
% 0.82/1.17
% 0.82/1.17 %
% 0.82/1.17 % clauses 23
% 0.82/1.17 % conjectures 1
% 0.82/1.17 % EPR 18
% 0.82/1.17 % Horn 20
% 0.82/1.17 % unary 10
% 0.82/1.17 % binary 3
% 0.82/1.17 % lits 57
% 0.82/1.17 % lits eq 5
% 0.82/1.17 % fd_pure 0
% 0.82/1.17 % fd_pseudo 0
% 0.82/1.17 % fd_cond 0
% 0.82/1.17 % fd_pseudo_cond 2
% 0.82/1.17 % AC symbols 0
% 0.82/1.17
% 0.82/1.17 % ------ Schedule dynamic 5 is on
% 0.82/1.17
% 0.82/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.82/1.17
% 0.82/1.17
% 0.82/1.17 % ------
% 0.82/1.17 % Current options:
% 0.82/1.17 % ------
% 0.82/1.17
% 0.82/1.17
% 0.82/1.17 %
% 0.82/1.17
% 0.82/1.17 % ------ Proving...
% 0.82/1.17 %
% 0.82/1.17
% 0.82/1.17 % SZS status Theorem for theBenchmark.p
% 0.82/1.17
% 0.82/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/1.17
%------------------------------------------------------------------------------