%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB010+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 : n008.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 03:04:24 PM UTC 2026
% Result : Theorem 2.24s 2.30s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 102 ( 24 unt; 0 def)
% Number of atoms : 389 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 474 ( 187 ~; 198 |; 70 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 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 : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 219 ( 0 sgn 205 !; 14 ?; 78 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
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] :
( iext(uri_owl_sourceIndividual,X0,X1)
=> ( ir(X1)
& icext(uri_owl_NegativePropertyAssertion,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
fof(f4,axiom,
! [X0,X1] :
( iext(uri_owl_onProperty,X0,X1)
=> ( ip(X1)
& icext(uri_owl_Restriction,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f6,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(f7,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_allValuesFrom,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( iext(X1,X3,X4)
=> icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_allvaluesfrom) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( ~ iext(X0,X1,X2)
& ir(X2)
& ip(X0)
& ir(X1) )
=> ? [X3] :
( iext(uri_owl_targetIndividual,X3,X2)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_sourceIndividual,X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).
fof(f9,conjecture,
? [X0] :
( iext(uri_owl_targetIndividual,X0,uri_ex_o)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s)
& iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
fof(f10,negated_conjecture,
~ ? [X0] :
( iext(uri_owl_targetIndividual,X0,uri_ex_o)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s)
& iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_o)
& iext(uri_owl_oneOf,X2,X3)
& iext(uri_owl_complementOf,X1,X2)
& iext(uri_owl_allValuesFrom,X0,X1)
& iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
fof(f12,plain,
! [X0,X1] :
( ~ iext(uri_owl_sourceIndividual,X0,X1)
| ( ir(X1)
& icext(uri_owl_NegativePropertyAssertion,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ( ip(X1)
& icext(uri_owl_Restriction,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f15,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,[],[f6]) ).
fof(f16,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,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( ~ iext(X1,X3,X4)
| icext(X2,X4) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( ~ iext(X1,X3,X4)
| icext(X2,X4) ) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| ? [X3] :
( iext(uri_owl_targetIndividual,X3,X2)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_sourceIndividual,X3,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| ? [X3] :
( iext(uri_owl_targetIndividual,X3,X2)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_sourceIndividual,X3,X1) ) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,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(f23,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,[],[f14]) ).
fof(f24,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,[],[f16]) ).
fof(f25,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,[],[f24]) ).
fof(f26,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,[],[f25]) ).
fof(f27,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))],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& ~ icext(X2,X4) )
| icext(X0,X3) ) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| ! [X5] :
( ~ iext(X1,X3,X5)
| icext(X2,X5) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& ~ icext(X2,X4) )
| icext(X0,X3) ) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ! [X3] :
( ( ~ icext(X0,X3)
| ! [X5] :
( ~ iext(X1,X3,X5)
| icext(X2,X5) ) )
& ( ( iext(X1,X3,sK1(X1,X2,X3))
& ~ icext(X2,sK1(X1,X2,X3)) )
| icext(X0,X3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X1,X2,X3))],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| ( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
& iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
& iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f20]) ).
fof(f32,plain,
( iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_first,sK6,uri_ex_o)
& iext(uri_owl_oneOf,sK5,sK6)
& iext(uri_owl_complementOf,sK4,sK5)
& iext(uri_owl_allValuesFrom,sK3,sK4)
& iext(uri_owl_onProperty,sK3,uri_ex_p)
& iext(uri_rdf_type,uri_ex_s,sK3)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f11]) ).
fof(f33,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( ~ iext(uri_owl_sourceIndividual,X0,X1)
| icext(uri_owl_NegativePropertyAssertion,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,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)
| X2 != X4
| icext(X0,X4) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X5] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ icext(X0,X3)
| ~ iext(X1,X3,X5)
| icext(X2,X5) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X2,X0,X1] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X2,X0,X1] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
! [X2,X0,X1] :
( iext(X0,X1,X2)
| ~ ir(X2)
| ~ ip(X0)
| ~ ir(X1)
| iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(cnf_transformation,[],[f21]) ).
fof(f56,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
iext(uri_rdf_first,sK6,uri_ex_o),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
iext(uri_owl_complementOf,sK4,sK5),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
iext(uri_owl_allValuesFrom,sK3,sK4),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
iext(uri_owl_onProperty,sK3,uri_ex_p),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
iext(uri_rdf_type,uri_ex_s,sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
! [X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X4) ),
inference(equality_resolution,[],[f45]) ).
tcf(c_49,plain,
! [X0: $i] : ir(X0),
inference(cnf_transformation,[],[f33]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( icext(uri_owl_NegativePropertyAssertion,X0)
| ~ iext(uri_owl_sourceIndividual,X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ip(X1)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X0,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X4,X2)
| ~ icext(X3,X1)
| ~ iext(uri_owl_allValuesFrom,X3,X4)
| ~ iext(uri_owl_onProperty,X3,X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_sourceIndividual,sK2(X2,X0,X1),X0)
| ~ ip(X2)
| ~ ir(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_assertionProperty,sK2(X2,X0,X1),X2)
| ~ ip(X2)
| ~ ir(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_targetIndividual,sK2(X2,X0,X1),X1)
| ~ ip(X2)
| ~ ir(X1)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_71,negated_conjecture,
! [X0: $i] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_73,plain,
iext(uri_rdf_type,uri_ex_s,sK3),
inference(cnf_transformation,[],[f62]) ).
tcf(c_74,plain,
iext(uri_owl_onProperty,sK3,uri_ex_p),
inference(cnf_transformation,[],[f61]) ).
tcf(c_75,plain,
iext(uri_owl_allValuesFrom,sK3,sK4),
inference(cnf_transformation,[],[f60]) ).
tcf(c_76,plain,
iext(uri_owl_complementOf,sK4,sK5),
inference(cnf_transformation,[],[f59]) ).
tcf(c_77,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(cnf_transformation,[],[f58]) ).
tcf(c_78,plain,
iext(uri_rdf_first,sK6,uri_ex_o),
inference(cnf_transformation,[],[f57]) ).
tcf(c_79,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f56]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_targetIndividual,sK2(X2,X0,X1),X1)
| ~ ip(X2)
| ~ ir(X1) ),
inference(global_subsumption_just,[status(thm)],[c_70,c_49,c_70]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_targetIndividual,sK2(X1,X2,X0),X0)
| ~ ip(X1)
| ~ ir(X0) ),
inference(renaming,[status(thm)],[c_100]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_targetIndividual,sK2(X1,X2,X0),X0)
| ~ ip(X1) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_49,c_101]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X0,X1,X2)
| iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| ~ ip(X0) ),
inference(renaming,[status(thm)],[c_102]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_assertionProperty,sK2(X2,X0,X1),X2)
| ~ ip(X2)
| ~ ir(X1) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_49,c_69]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_assertionProperty,sK2(X1,X2,X0),X1)
| ~ ip(X1)
| ~ ir(X0) ),
inference(renaming,[status(thm)],[c_105]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_assertionProperty,sK2(X1,X2,X0),X1)
| ~ ip(X1) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_49,c_106]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X0,X1,X2)
| iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
| ~ ip(X0) ),
inference(renaming,[status(thm)],[c_107]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X2,X0,X1)
| iext(uri_owl_sourceIndividual,sK2(X2,X0,X1),X0)
| ~ ip(X2)
| ~ ir(X1) ),
inference(global_subsumption_just,[status(thm)],[c_68,c_49,c_68]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_sourceIndividual,sK2(X1,X2,X0),X2)
| ~ ip(X1)
| ~ ir(X0) ),
inference(renaming,[status(thm)],[c_110]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X1,X2,X0)
| iext(uri_owl_sourceIndividual,sK2(X1,X2,X0),X2)
| ~ ip(X1) ),
inference(global_subsumption_just,[status(thm)],[c_111,c_49,c_111]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(X0,X1,X2)
| iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
| ~ ip(X0) ),
inference(renaming,[status(thm)],[c_112]) ).
tcf(c_1153,negated_conjecture,
! [X0: $i] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_1540,plain,
icext(sK3,uri_ex_s),
inference(superposition,[status(thm)],[c_73,c_51]) ).
tcf(c_1545,plain,
ip(uri_ex_p),
inference(superposition,[status(thm)],[c_74,c_55]) ).
tcf(c_1561,plain,
! [X0: $i] :
( ~ icext(uri_owl_NegativePropertyAssertion,X0)
| ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(superposition,[status(thm)],[c_50,c_1153]) ).
tcf(c_1579,plain,
! [X0: $i] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1561,c_52]) ).
tcf(c_1611,plain,
! [X0: $i] :
( ~ icext(sK5,X0)
| ~ icext(sK4,X0) ),
inference(superposition,[status(thm)],[c_76,c_59]) ).
tcf(c_1636,plain,
! [X0: $i] :
( icext(X0,uri_ex_o)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,sK6) ),
inference(superposition,[status(thm)],[c_78,c_63]) ).
tcf(c_1637,plain,
! [X0: $i] :
( icext(X0,uri_ex_o)
| ~ iext(uri_owl_oneOf,X0,sK6) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1636,c_79]) ).
tcf(c_1685,plain,
icext(sK5,uri_ex_o),
inference(superposition,[status(thm)],[c_77,c_1637]) ).
tcf(c_1705,plain,
! [X0: $i,X1: $i] :
( iext(X0,uri_ex_s,X1)
| ~ ip(X0)
| ~ iext(uri_owl_targetIndividual,sK2(X0,uri_ex_s,X1),uri_ex_o)
| ~ iext(uri_owl_assertionProperty,sK2(X0,uri_ex_s,X1),uri_ex_p) ),
inference(superposition,[status(thm)],[c_113,c_1579]) ).
tcf(c_1723,plain,
! [X0: $i] :
( iext(uri_ex_p,uri_ex_s,X0)
| ~ ip(uri_ex_p)
| ~ iext(uri_owl_targetIndividual,sK2(uri_ex_p,uri_ex_s,X0),uri_ex_o) ),
inference(superposition,[status(thm)],[c_108,c_1705]) ).
tcf(c_1724,plain,
! [X0: $i] :
( iext(uri_ex_p,uri_ex_s,X0)
| ~ iext(uri_owl_targetIndividual,sK2(uri_ex_p,uri_ex_s,X0),uri_ex_o) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1723,c_1545]) ).
tcf(c_1732,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p) ),
inference(superposition,[status(thm)],[c_103,c_1724]) ).
tcf(c_1733,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(forward_subsumption_resolution,[status(thm)],[c_1732,c_1545]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i] :
( icext(X1,uri_ex_o)
| ~ icext(X0,uri_ex_s)
| ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_allValuesFrom,X0,X1) ),
inference(superposition,[status(thm)],[c_1733,c_67]) ).
tcf(c_1952,plain,
( icext(sK4,uri_ex_o)
| ~ icext(sK3,uri_ex_s)
| ~ iext(uri_owl_onProperty,sK3,uri_ex_p) ),
inference(superposition,[status(thm)],[c_75,c_1774]) ).
tcf(c_1953,plain,
icext(sK4,uri_ex_o),
inference(forward_subsumption_resolution,[status(thm)],[c_1952,c_1540,c_74]) ).
tcf(c_1954,plain,
~ icext(sK5,uri_ex_o),
inference(superposition,[status(thm)],[c_1953,c_1611]) ).
tcf(c_1955,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1954,c_1685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/1.39 % Computer : n008.cluster.edu
% 0.08/1.39 % Model : x86_64 x86_64
% 0.08/1.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/1.39 % Memory : 8046.5625MB
% 0.08/1.39 % OS : Linux 6.8.0-71-generic
% 0.08/1.39 % CPULimit : 300
% 0.08/1.39 % WCLimit : 300
% 0.08/1.39 % DateTime : Thu Sep 24 15:25:15 UTC 2026
% 0.08/1.39 % CPUTime :
% 0.08/1.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/1.43 Running first-order theorem proving
% 0.13/1.43 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
% 0.13/1.44
% 0.13/1.44 % ======== iProver multi-core TPTP/SMT =========
% 0.13/1.44
% 0.13/1.44 % Detected problem language: tptp
% 0.13/1.45 % Proving...
% 2.24/2.30 % SZS status Started for theBenchmark.p
% 2.24/2.30 % SZS status Theorem for theBenchmark.p
% 2.24/2.30
% 2.24/2.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.24/2.30
% 2.24/2.30 % ------ iProver source info
% 2.24/2.30
% 2.24/2.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.24/2.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.24/2.30 % git: non_committed_changes: false
% 2.24/2.30
% 2.24/2.30 % ------ Parsing...
% 2.24/2.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.24/2.30
% 2.24/2.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.24/2.30
% 2.24/2.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.24/2.30
% 2.24/2.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.24/2.30 % ------ Proving...
% 2.24/2.30 % ------ Problem Properties
% 2.24/2.30
% 2.24/2.30 %
% 2.24/2.30 % clauses 29
% 2.24/2.30 % conjectures 1
% 2.24/2.30 % EPR 22
% 2.24/2.30 % Horn 23
% 2.24/2.30 % unary 8
% 2.24/2.30 % binary 7
% 2.24/2.30 % lits 79
% 2.24/2.30 % lits eq 3
% 2.24/2.30 % fd_pure 0
% 2.24/2.30 % fd_pseudo 0
% 2.24/2.30 % fd_cond 0
% 2.24/2.30 % fd_pseudo_cond 1
% 2.24/2.30 % AC symbols 0
% 2.24/2.30
% 2.24/2.30 % ------ Schedule dynamic 5 is on
% 2.24/2.30
% 2.24/2.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.24/2.30
% 2.24/2.30
% 2.24/2.30 % ------
% 2.24/2.30 % Current options:
% 2.24/2.30 % ------
% 2.24/2.30
% 2.24/2.30
% 2.24/2.30 %
% 2.24/2.30
% 2.24/2.30 % ------ Proving...
% 2.24/2.30 %
% 2.24/2.30
% 2.24/2.30 % SZS status Theorem for theBenchmark.p
% 2.24/2.30
% 2.24/2.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/2.30
% 2.24/2.30
%------------------------------------------------------------------------------