%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB027+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 : n004.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 3.21s 1.70s
% Output : CNFRefutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 21 unt; 0 def)
% Number of atoms : 391 ( 20 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 524 ( 208 ~; 212 |; 91 &)
% ( 10 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-3 aty)
% Number of variables : 208 ( 0 sgn 181 !; 27 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
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_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ( iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f4,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(f5,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f6,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f7,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,axiom,
? [X0,X1,X2] :
( iext(uri_owl_inverseOf,X2,uri_ex_p)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f9,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f7]) ).
fof(f10,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_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,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_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,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,[],[f4]) ).
fof(f13,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3)
| X1 = X2 )
& ip(X0) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) )
& ( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 )
& ( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f16,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_propertyChainAxiom,X0,X1)
| ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f17,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_propertyChainAxiom,X0,X1)
| ( ! [X5,X6,X7] :
( ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6)
| iext(X0,X5,X7) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,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_propertyChainAxiom,X0,X1)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ? [X5,X6,X7] :
( iext(X4,X6,X7)
& iext(X2,X5,X6)
& ~ iext(X0,X5,X7) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(rectify,[],[f17]) ).
fof(f19,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_propertyChainAxiom,X0,X1)
| ( ! [X8,X9,X10] :
( ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
& ( ( iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4))
& ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0)
| iext(uri_owl_propertyChainAxiom,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X5,sK0(X0,X2,X4)),skolemize(X6,sK1(X0,X2,X4)),skolemize(X7,sK2(X0,X2,X4))],[f18]) ).
fof(f20,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,[],[f13]) ).
fof(f21,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,[],[f20]) ).
fof(f22,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,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,X0)
| ( ! [X4,X5,X6] :
( ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6)
| X4 = X5 )
& ip(X0) ) )
& ( ( iext(X0,sK4(X0),sK5(X0))
& iext(X0,sK3(X0),sK5(X0))
& sK3(X0) != sK4(X0) )
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X2,X3] :
( ( ~ iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ? [X2,X3] :
( ( iext(X0,X2,X3)
| iext(X1,X3,X2) )
& ( ~ iext(X0,X2,X3)
| ~ iext(X1,X3,X2) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_inverseOf,X0,X1)
| ( ! [X4,X5] :
( ( ~ iext(X0,X4,X5)
| iext(X1,X5,X4) )
& ( ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) ) )
& ( ( ( iext(X0,sK6(X0,X1),sK7(X0,X1))
| iext(X1,sK7(X0,X1),sK6(X0,X1)) )
& ( ~ iext(X0,sK6(X0,X1),sK7(X0,X1))
| ~ iext(X1,sK7(X0,X1),sK6(X0,X1)) ) )
| ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1))],[f26]) ).
fof(f28,plain,
( iext(uri_owl_inverseOf,sK10,uri_ex_p)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,sK10)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f8]) ).
fof(f30,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X2,X3,X10,X0,X1,X8,X9,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_propertyChainAxiom,X0,X1)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| iext(X0,X8,X10) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0] :
( iext(X0,sK4(X0),sK5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0] :
( iext(X0,sK3(X0),sK5(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0] :
( sK3(X0) != sK4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f46,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f51,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_p),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f28]) ).
fof(f56,plain,
iext(uri_rdf_first,sK8,uri_ex_p),
inference(cnf_transformation,[],[f28]) ).
fof(f57,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8),
inference(cnf_transformation,[],[f28]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( iext(uri_rdf_type,X1,X0)
| ~ icext(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_60,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK3(X0) != sK4(X0) ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_61,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK3(X0),sK5(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_62,plain,
! [X0: $i] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK4(X0),sK5(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( ip(X1)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(X3,X2,X1)
| ~ iext(uri_owl_inverseOf,X3,X0)
| ~ iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_71,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f51]) ).
tcf(c_72,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8),
inference(cnf_transformation,[],[f57]) ).
tcf(c_73,plain,
iext(uri_rdf_first,sK8,uri_ex_p),
inference(cnf_transformation,[],[f56]) ).
tcf(c_74,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f55]) ).
tcf(c_75,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf_transformation,[],[f54]) ).
tcf(c_76,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f53]) ).
tcf(c_77,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_p),
inference(cnf_transformation,[],[f52]) ).
tcf(c_641,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(demodulation,[status(thm)],[c_71]) ).
tcf(c_1122,plain,
ip(uri_ex_p),
inference(superposition,[status(thm)],[c_77,c_68]) ).
tcf(c_1128,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(superposition,[status(thm)],[c_49,c_641]) ).
tcf(c_1399,plain,
! [X0: $i,X1: $i] :
( iext(sK10,X1,X0)
| ~ iext(uri_owl_inverseOf,sK10,uri_ex_p)
| ~ iext(uri_ex_p,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_1585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( iext(X5,X1,X4)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X6,sK9)
| ~ iext(uri_rdf_first,sK9,X3)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(X3,X2,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_1718,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_1719,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| ~ ip(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_1720,plain,
( icext(uri_owl_InverseFunctionalProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ( sK3(uri_ex_p) != sK4(uri_ex_p) ) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_2685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( iext(X3,X1,X5)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_rdf_rest,X4,sK9)
| ~ iext(sK10,X2,X5)
| ~ iext(uri_rdf_first,X4,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_1585]) ).
tcf(c_2958,plain,
( ( sK3(uri_ex_p) = sK4(uri_ex_p) )
| ~ iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_3576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(X4,X1,X3)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_owl_propertyChainAxiom,X4,sK8)
| ~ iext(sK10,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_2685]) ).
tcf(c_4847,plain,
( iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_owl_inverseOf,sK10,uri_ex_p)
| ~ iext(uri_ex_p,sK4(uri_ex_p),sK5(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_1399]) ).
tcf(c_5605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( iext(uri_owl_sameAs,X1,X3)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(sK10,X2,X3)
| ~ iext(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_3576]) ).
tcf(c_9012,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(sK10,X1,sK4(uri_ex_p))
| ~ iext(X0,sK3(uri_ex_p),X1) ),
inference(instantiation,[status(thm)],[c_5605]) ).
tcf(c_11645,plain,
! [X0: $i] :
( iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_rdf_first,sK8,uri_ex_p)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(sK10,X0,sK4(uri_ex_p))
| ~ iext(uri_ex_p,sK3(uri_ex_p),X0) ),
inference(instantiation,[status(thm)],[c_9012]) ).
tcf(c_14606,plain,
( iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| ~ iext(uri_rdf_first,sK8,uri_ex_p)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_11645]) ).
tcf(c_14607,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14606,c_4847,c_2958,c_1718,c_1719,c_1720,c_1128,c_1122,c_72,c_73,c_74,c_75,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB027+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 15:34:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 3.21/1.70 % SZS status Started for theBenchmark.p
% 3.21/1.70 % SZS status Theorem for theBenchmark.p
% 3.21/1.70
% 3.21/1.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.21/1.70
% 3.21/1.70 % ------ iProver source info
% 3.21/1.70
% 3.21/1.70 % git: date: 2026-07-19 20:42:38 +0200
% 3.21/1.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.21/1.70 % git: non_committed_changes: false
% 3.21/1.70
% 3.21/1.70 % ------ Parsing...
% 3.21/1.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.21/1.70
% 3.21/1.70 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 3.21/1.70
% 3.21/1.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.21/1.70
% 3.21/1.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.21/1.70 % ------ Proving...
% 3.21/1.70 % ------ Problem Properties
% 3.21/1.70
% 3.21/1.70 %
% 3.21/1.70 % clauses 29
% 3.21/1.70 % conjectures 1
% 3.21/1.70 % EPR 21
% 3.21/1.70 % Horn 24
% 3.21/1.70 % unary 8
% 3.21/1.70 % binary 6
% 3.21/1.70 % lits 102
% 3.21/1.70 % lits eq 3
% 3.21/1.70 % fd_pure 0
% 3.21/1.70 % fd_pseudo 0
% 3.21/1.70 % fd_cond 0
% 3.21/1.70 % fd_pseudo_cond 2
% 3.21/1.70 % AC symbols 0
% 3.21/1.70
% 3.21/1.70 % ------ Schedule dynamic 5 is on
% 3.21/1.70
% 3.21/1.70 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.21/1.70
% 3.21/1.70
% 3.21/1.70 % ------
% 3.21/1.70 % Current options:
% 3.21/1.70 % ------
% 3.21/1.70
% 3.21/1.70
% 3.21/1.70 %
% 3.21/1.70
% 3.21/1.70 % ------ Proving...
% 3.21/1.70 %
% 3.21/1.70
% 3.21/1.70 % SZS status Theorem for theBenchmark.p
% 3.21/1.70
% 3.21/1.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.21/1.70
% 3.21/1.70
%------------------------------------------------------------------------------