TSTP Solution File: SWB027+2 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:09:25 EDT 2023
% Result : Theorem 3.47s 1.16s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of formulae : 90 ( 21 unt; 0 def)
% Number of atoms : 470 ( 24 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 604 ( 224 ~; 228 |; 127 &)
% ( 15 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% 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 : 262 ( 1 sgn; 161 !; 41 ?)
% 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,X2] :
( iext(uri_owl_sameAs,X0,X2)
<=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f3,axiom,
! [X3,X4,X5,X6,X7] :
( ( iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,X7)
& iext(uri_rdf_rest,X4,X6)
& iext(uri_rdf_first,X4,X5) )
=> ( iext(uri_owl_propertyChainAxiom,X3,X4)
<=> ( ! [X8,X9,X10] :
( ( iext(X7,X9,X10)
& iext(X5,X8,X9) )
=> iext(X3,X8,X10) )
& ip(X7)
& ip(X5)
& ip(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).
fof(f4,axiom,
! [X3] :
( icext(uri_owl_InverseFunctionalProperty,X3)
<=> ( ! [X11,X12,X2] :
( ( iext(X3,X12,X2)
& iext(X3,X11,X2) )
=> X11 = X12 )
& ip(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f5,axiom,
! [X5,X7] :
( iext(uri_owl_inverseOf,X5,X7)
<=> ( ! [X0,X2] :
( iext(X5,X0,X2)
<=> iext(X7,X2,X0) )
& ip(X7)
& ip(X5) ) ),
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,[],[f6]) ).
fof(f8,axiom,
? [X13,X14,X15] :
( iext(uri_owl_inverseOf,X15,uri_ex_p)
& iext(uri_rdf_rest,X14,uri_rdf_nil)
& iext(uri_rdf_first,X14,X15)
& iext(uri_rdf_rest,X13,X14)
& iext(uri_rdf_first,X13,uri_ex_p)
& iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_027_Inferred_Property_Characteristics_II) ).
fof(f9,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f2]) ).
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(rectify,[],[f3]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> X1 = X2 )
& ip(X0) ) ),
inference(rectify,[],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f13,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f7]) ).
fof(f14,plain,
? [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) ),
inference(rectify,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ 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) ),
inference(ennf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) ) )
| ~ 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) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) ) ),
inference(flattening,[],[f17]) ).
fof(f19,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(f20,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ 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) ),
inference(nnf_transformation,[],[f16]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X5,X6,X7] :
( iext(X0,X5,X7)
| ~ iext(X4,X6,X7)
| ~ iext(X2,X5,X6) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ 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) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ 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) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X2,X4] :
( ? [X5,X6,X7] :
( ~ iext(X0,X5,X7)
& iext(X4,X6,X7)
& iext(X2,X5,X6) )
=> ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ( ~ iext(X0,sK0(X0,X2,X4),sK2(X0,X2,X4))
& iext(X4,sK1(X0,X2,X4),sK2(X0,X2,X4))
& iext(X2,sK0(X0,X2,X4),sK1(X0,X2,X4)) )
| ~ ip(X4)
| ~ ip(X2)
| ~ ip(X0) )
& ( ( ! [X8,X9,X10] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9) )
& ip(X4)
& ip(X2)
& ip(X0) )
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ 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) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f24]) ).
fof(f26,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
| ~ ip(X0) )
& ( ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
| ~ ip(X0) )
& ( ( ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X2,X3)
| ~ iext(X0,X1,X3) )
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
| ~ ip(X0) )
& ( ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X2,X3)
& iext(X0,X1,X3) )
=> ( sK3(X0) != sK4(X0)
& iext(X0,sK4(X0),sK5(X0))
& iext(X0,sK3(X0),sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ( sK3(X0) != sK4(X0)
& iext(X0,sK4(X0),sK5(X0))
& iext(X0,sK3(X0),sK5(X0)) )
| ~ ip(X0) )
& ( ( ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6) )
& ip(X0) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f28,f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) )
=> ( ( ~ iext(X1,sK7(X0,X1),sK6(X0,X1))
| ~ iext(X0,sK6(X0,X1),sK7(X0,X1)) )
& ( iext(X1,sK7(X0,X1),sK6(X0,X1))
| iext(X0,sK6(X0,X1),sK7(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,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))
| iext(X0,sK6(X0,X1),sK7(X0,X1)) ) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) )
& ip(X1)
& ip(X0) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f33,f34]) ).
fof(f36,plain,
( ? [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) )
=> ( 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) ) ),
introduced(choice_axiom,[]) ).
fof(f37,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(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f14,f36]) ).
fof(f39,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4] :
( iext(X0,X8,X10)
| ~ iext(X4,X9,X10)
| ~ iext(X2,X8,X9)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ 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) ),
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK3(X0),sK5(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK4(X0),sK5(X0))
| ~ ip(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
| sK3(X0) != sK4(X0)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1,X4,X5] :
( iext(X1,X5,X4)
| ~ iext(X0,X4,X5)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f57,plain,
! [X0,X1,X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X5,X4)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f60,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f13]) ).
fof(f61,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
iext(uri_rdf_first,sK8,uri_ex_p),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f37]) ).
fof(f64,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf_transformation,[],[f37]) ).
fof(f65,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f37]) ).
fof(f66,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_p),
inference(cnf_transformation,[],[f37]) ).
cnf(c_49,plain,
( ~ icext(X0,X1)
| iext(uri_rdf_type,X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
cnf(c_52,plain,
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f40]) ).
cnf(c_56,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_rest,X6,X7)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_rdf_first,X7,X3)
| ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
| iext(X5,X1,X4) ),
inference(cnf_transformation,[],[f45]) ).
cnf(c_60,plain,
( sK3(X0) != sK4(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_61,plain,
( ~ ip(X0)
| iext(X0,sK4(X0),sK5(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f52]) ).
cnf(c_62,plain,
( ~ ip(X0)
| iext(X0,sK3(X0),sK5(X0))
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_67,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X3,X0)
| iext(X3,X2,X1) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_68,plain,
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_inverseOf,X0,X3)
| iext(X3,X2,X1) ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_69,plain,
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_71,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f60]) ).
cnf(c_72,plain,
iext(uri_owl_inverseOf,sK10,uri_ex_p),
inference(cnf_transformation,[],[f66]) ).
cnf(c_73,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f65]) ).
cnf(c_74,plain,
iext(uri_rdf_first,sK9,sK10),
inference(cnf_transformation,[],[f64]) ).
cnf(c_75,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f63]) ).
cnf(c_76,plain,
iext(uri_rdf_first,sK8,uri_ex_p),
inference(cnf_transformation,[],[f62]) ).
cnf(c_77,plain,
iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8),
inference(cnf_transformation,[],[f61]) ).
cnf(c_1116,plain,
ip(uri_ex_p),
inference(superposition,[status(thm)],[c_72,c_69]) ).
cnf(c_1127,plain,
~ icext(uri_owl_InverseFunctionalProperty,uri_ex_p),
inference(superposition,[status(thm)],[c_49,c_71]) ).
cnf(c_1257,plain,
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X1)
| iext(X0,sK5(X1),sK4(X1))
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(superposition,[status(thm)],[c_61,c_67]) ).
cnf(c_1584,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X0)
| ~ iext(uri_rdf_rest,X6,sK9)
| ~ iext(uri_rdf_first,sK9,X3)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| iext(X5,X1,X4) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1592,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_1594,plain,
( sK3(uri_ex_p) != sK4(uri_ex_p)
| ~ ip(uri_ex_p)
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_1854,plain,
( ~ iext(uri_owl_inverseOf,X0,X1)
| iext(X0,sK5(X1),sK4(X1))
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(global_subsumption_just,[status(thm)],[c_1257,c_69,c_1257]) ).
cnf(c_1869,plain,
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(uri_owl_inverseOf,X0,X2)
| iext(X2,sK4(X1),sK5(X1))
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(superposition,[status(thm)],[c_1854,c_68]) ).
cnf(c_2686,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,sK8)
| ~ iext(uri_rdf_first,sK9,X3)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| iext(X5,X1,X4) ),
inference(instantiation,[status(thm)],[c_1584]) ).
cnf(c_2789,plain,
( ~ iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p))
| sK3(uri_ex_p) = sK4(uri_ex_p) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_3379,plain,
( ~ iext(uri_owl_inverseOf,sK10,X0)
| iext(X0,sK4(uri_ex_p),sK5(uri_ex_p))
| icext(uri_owl_InverseFunctionalProperty,uri_ex_p) ),
inference(superposition,[status(thm)],[c_72,c_1869]) ).
cnf(c_3384,plain,
( ~ iext(uri_owl_inverseOf,sK10,X0)
| iext(X0,sK4(uri_ex_p),sK5(uri_ex_p)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3379,c_1127]) ).
cnf(c_3473,plain,
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(uri_owl_inverseOf,sK10,X1)
| iext(X0,sK5(uri_ex_p),sK4(uri_ex_p)) ),
inference(superposition,[status(thm)],[c_3384,c_67]) ).
cnf(c_3574,plain,
( ~ iext(X0,X1,X2)
| ~ iext(X3,X2,X4)
| ~ iext(uri_rdf_first,sK9,X3)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| iext(uri_owl_sameAs,X1,X4) ),
inference(instantiation,[status(thm)],[c_2686]) ).
cnf(c_3799,plain,
( ~ iext(uri_owl_inverseOf,sK10,uri_ex_p)
| iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p)) ),
inference(superposition,[status(thm)],[c_72,c_3473]) ).
cnf(c_3805,plain,
iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p)),
inference(forward_subsumption_resolution,[status(thm)],[c_3799,c_72]) ).
cnf(c_5341,plain,
( ~ iext(X0,sK3(uri_ex_p),X1)
| ~ iext(X2,X1,sK4(uri_ex_p))
| ~ iext(uri_rdf_first,sK9,X2)
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_3574]) ).
cnf(c_7856,plain,
( ~ iext(X0,sK3(uri_ex_p),X1)
| ~ iext(sK10,X1,sK4(uri_ex_p))
| ~ iext(uri_rdf_first,sK8,X0)
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK9,sK10)
| iext(uri_owl_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_5341]) ).
cnf(c_11307,plain,
( ~ iext(uri_ex_p,sK3(uri_ex_p),X0)
| ~ iext(sK10,X0,sK4(uri_ex_p))
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ 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_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_7856]) ).
cnf(c_14376,plain,
( ~ iext(uri_ex_p,sK3(uri_ex_p),sK5(uri_ex_p))
| ~ iext(sK10,sK5(uri_ex_p),sK4(uri_ex_p))
| ~ iext(uri_owl_propertyChainAxiom,uri_owl_sameAs,sK8)
| ~ 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_sameAs,sK3(uri_ex_p),sK4(uri_ex_p)) ),
inference(instantiation,[status(thm)],[c_11307]) ).
cnf(c_14377,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_14376,c_3805,c_2789,c_1592,c_1594,c_1127,c_1116,c_73,c_74,c_75,c_76,c_77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB027+2 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 07:29:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.47/1.16 % SZS status Started for theBenchmark.p
% 3.47/1.16 % SZS status Theorem for theBenchmark.p
% 3.47/1.16
% 3.47/1.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.47/1.16
% 3.47/1.16 ------ iProver source info
% 3.47/1.16
% 3.47/1.16 git: date: 2023-05-31 18:12:56 +0000
% 3.47/1.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.47/1.16 git: non_committed_changes: false
% 3.47/1.16 git: last_make_outside_of_git: false
% 3.47/1.16
% 3.47/1.16 ------ Parsing...
% 3.47/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.47/1.16
% 3.47/1.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.47/1.16 ------ Proving...
% 3.47/1.16 ------ Problem Properties
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 clauses 29
% 3.47/1.16 conjectures 1
% 3.47/1.16 EPR 21
% 3.47/1.16 Horn 24
% 3.47/1.16 unary 8
% 3.47/1.16 binary 6
% 3.47/1.16 lits 102
% 3.47/1.16 lits eq 3
% 3.47/1.16 fd_pure 0
% 3.47/1.16 fd_pseudo 0
% 3.47/1.16 fd_cond 0
% 3.47/1.16 fd_pseudo_cond 2
% 3.47/1.16 AC symbols 0
% 3.47/1.16
% 3.47/1.16 ------ Schedule dynamic 5 is on
% 3.47/1.16
% 3.47/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 ------
% 3.47/1.16 Current options:
% 3.47/1.16 ------
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 ------ Proving...
% 3.47/1.16
% 3.47/1.16
% 3.47/1.16 % SZS status Theorem for theBenchmark.p
% 3.47/1.16
% 3.47/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.47/1.16
% 3.47/1.16
%------------------------------------------------------------------------------