%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB021+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 : n010.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 27.85s 5.87s
% Output : CNFRefutation 27.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 12
% Syntax : Number of formulae : 240 ( 71 unt; 4 def)
% Number of atoms : 1082 ( 187 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 1356 ( 514 ~; 621 |; 190 &)
% ( 26 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 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 : 9 ( 7 usr; 1 prp; 0-5 aty)
% Number of functors : 27 ( 27 usr; 23 con; 0-4 aty)
% Number of variables : 518 ( 0 sgn 497 !; 21 ?; 205 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_oneOf,X0,X1)
=> ( icext(uri_rdf_List,X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_oneof_ext) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_unionOf,X0,X1)
=> ( icext(uri_rdf_List,X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_unionof_ext) ).
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_unionOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( icext(X4,X5)
| icext(X2,X5) ) )
& ic(X4)
& ic(X2)
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_unionof_class_002) ).
fof(f4,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_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_002) ).
fof(f5,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_oneOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( X7 = X6
| X7 = X4
| X7 = X2 ) )
& ic(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_003) ).
fof(f6,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f7,conjecture,
iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_021_Composite_Enumerations) ).
fof(f8,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,axiom,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( iext(uri_rdf_rest,X8,uri_rdf_nil)
& iext(uri_rdf_first,X8,uri_ex_c2)
& iext(uri_rdf_rest,X7,X8)
& iext(uri_rdf_first,X7,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c4,X7)
& iext(uri_rdf_rest,X6,uri_rdf_nil)
& iext(uri_rdf_first,X6,uri_ex_w3)
& iext(uri_rdf_rest,X5,X6)
& iext(uri_rdf_first,X5,uri_ex_w2)
& iext(uri_rdf_rest,X4,X5)
& iext(uri_rdf_first,X4,uri_ex_w1)
& iext(uri_owl_oneOf,uri_ex_c3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,uri_ex_w3)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X2,uri_ex_w2)
& iext(uri_owl_oneOf,uri_ex_c2,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w2)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X0,uri_ex_w1)
& iext(uri_owl_oneOf,uri_ex_c1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_021_Composite_Enumerations) ).
fof(f10,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(flattening,[],[f8]) ).
fof(f11,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ( icext(uri_rdf_List,X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ( icext(uri_rdf_List,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_unionOf,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_unionOf,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] :
( ~ 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_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f4]) ).
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_oneOf,X0,X1)
<=> ( ! [X5] :
( icext(X0,X5)
<=> ( X5 = X4
| X5 = X2 ) )
& ic(X0) ) ) ),
inference(flattening,[],[f15]) ).
fof(f17,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_oneOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( X7 = X6
| X7 = X4
| X7 = X2 ) )
& ic(X0) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f18,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_oneOf,X0,X1)
<=> ( ! [X7] :
( icext(X0,X7)
<=> ( X7 = X6
| X7 = X4
| X7 = X2 ) )
& ic(X0) ) ) ),
inference(flattening,[],[f17]) ).
fof(f25,plain,
! [X4,X2,X0,X1] :
( ~ sP1(X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_unionOf,X0,X1)
| sP0(X0,X2,X4) )
& ( ~ sP0(X0,X2,X4)
| iext(uri_owl_unionOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ sP1(X0,X1,X2,X3)
| ( ( ~ iext(uri_owl_unionOf,X2,X3)
| sP0(X2,X1,X0) )
& ( ~ sP0(X2,X1,X0)
| iext(uri_owl_unionOf,X2,X3) ) ) ),
inference(rectify,[],[f25]) ).
fof(f31,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_oneOf,X0,X1)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ( X4 != X5
& X2 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f32,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_oneOf,X0,X1)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ( X4 != X5
& X2 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(flattening,[],[f31]) ).
fof(f33,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_oneOf,X0,X1)
| ( ! [X6] :
( ( ~ icext(X0,X6)
| X4 = X6
| X2 = X6 )
& ( ( X4 != X6
& X2 != X6 )
| icext(X0,X6) ) )
& ic(X0) ) )
& ( ? [X5] :
( ( icext(X0,X5)
| X5 = X4
| X5 = X2 )
& ( ~ icext(X0,X5)
| ( X4 != X5
& X2 != X5 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(rectify,[],[f32]) ).
fof(f34,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_oneOf,X0,X1)
| ( ! [X6] :
( ( ~ icext(X0,X6)
| X4 = X6
| X2 = X6 )
& ( ( X4 != X6
& X2 != X6 )
| icext(X0,X6) ) )
& ic(X0) ) )
& ( ( ( icext(X0,sK5(X0,X2,X4))
| sK5(X0,X2,X4) = X4
| sK5(X0,X2,X4) = X2 )
& ( ~ icext(X0,sK5(X0,X2,X4))
| ( sK5(X0,X2,X4) != X4
& sK5(X0,X2,X4) != X2 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X5,sK5(X0,X2,X4))],[f33]) ).
fof(f35,plain,
! [X6,X4,X2,X0,X1] :
( ~ sP3(X6,X4,X2,X0,X1)
| ( ( ~ iext(uri_owl_oneOf,X0,X1)
| sP2(X0,X2,X4,X6) )
& ( ~ sP2(X0,X2,X4,X6)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ~ sP3(X0,X1,X2,X3,X4)
| ( ( ~ iext(uri_owl_oneOf,X3,X4)
| sP2(X3,X2,X1,X0) )
& ( ~ sP2(X3,X2,X1,X0)
| iext(uri_owl_oneOf,X3,X4) ) ) ),
inference(rectify,[],[f35]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_equivalentClass,X0,X1)
| ( ! [X2] :
( ( ~ icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| icext(X0,X2) ) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_equivalentClass,X0,X1)
| ( ! [X2] :
( ( ~ icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| icext(X0,X2) ) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_equivalentClass,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| icext(X1,X3) )
& ( ~ icext(X1,X3)
| icext(X0,X3) ) )
& ic(X1)
& ic(X0) ) )
& ( ? [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X0,X2)
| ~ icext(X1,X2) ) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( ~ iext(uri_owl_equivalentClass,X0,X1)
| ( ! [X3] :
( ( ~ icext(X0,X3)
| icext(X1,X3) )
& ( ~ icext(X1,X3)
| icext(X0,X3) ) )
& ic(X1)
& ic(X0) ) )
& ( ( ( icext(X0,sK7(X0,X1))
| icext(X1,sK7(X0,X1)) )
& ( ~ icext(X0,sK7(X0,X1))
| ~ icext(X1,sK7(X0,X1)) ) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f43]) ).
fof(f45,plain,
( iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_rdf_first,sK16,uri_ex_c2)
& iext(uri_rdf_rest,sK15,sK16)
& iext(uri_rdf_first,sK15,uri_ex_c1)
& iext(uri_owl_unionOf,uri_ex_c4,sK15)
& iext(uri_rdf_rest,sK14,uri_rdf_nil)
& iext(uri_rdf_first,sK14,uri_ex_w3)
& iext(uri_rdf_rest,sK13,sK14)
& iext(uri_rdf_first,sK13,uri_ex_w2)
& iext(uri_rdf_rest,sK12,sK13)
& iext(uri_rdf_first,sK12,uri_ex_w1)
& iext(uri_owl_oneOf,uri_ex_c3,sK12)
& iext(uri_rdf_rest,sK11,uri_rdf_nil)
& iext(uri_rdf_first,sK11,uri_ex_w3)
& iext(uri_rdf_rest,sK10,sK11)
& iext(uri_rdf_first,sK10,uri_ex_w2)
& iext(uri_owl_oneOf,uri_ex_c2,sK10)
& iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_w2)
& iext(uri_rdf_rest,sK8,sK9)
& iext(uri_rdf_first,sK8,uri_ex_w1)
& iext(uri_owl_oneOf,uri_ex_c1,sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12),skolemize(X5,sK13),skolemize(X6,sK14),skolemize(X7,sK15),skolemize(X8,sK16)],[f9]) ).
fof(f47,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f49,plain,
! [X0,X1] :
( ~ iext(uri_owl_unionOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ iext(uri_owl_unionOf,X2,X3)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f61,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(f62,plain,
! [X2,X3,X0,X1,X6,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_oneOf,X0,X1)
| ~ icext(X0,X6)
| X4 = X6
| X2 = X6 ),
inference(cnf_transformation,[],[f34]) ).
fof(f63,plain,
! [X2,X3,X0,X1,X6,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_oneOf,X0,X1)
| X4 != X6
| icext(X0,X6) ),
inference(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,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_oneOf,X0,X1)
| X2 != X6
| icext(X0,X6) ),
inference(cnf_transformation,[],[f34]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP3(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_oneOf,X3,X4)
| sP2(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f80,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(f85,plain,
! [X0,X1] :
( icext(X0,sK7(X0,X1))
| icext(X1,sK7(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
! [X0,X1] :
( ~ icext(X0,sK7(X0,X1))
| ~ icext(X1,sK7(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(cnf_transformation,[],[f10]) ).
fof(f88,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f89,plain,
iext(uri_rdf_first,sK16,uri_ex_c2),
inference(cnf_transformation,[],[f45]) ).
fof(f90,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
iext(uri_rdf_first,sK15,uri_ex_c1),
inference(cnf_transformation,[],[f45]) ).
fof(f92,plain,
iext(uri_owl_unionOf,uri_ex_c4,sK15),
inference(cnf_transformation,[],[f45]) ).
fof(f93,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f94,plain,
iext(uri_rdf_first,sK14,uri_ex_w3),
inference(cnf_transformation,[],[f45]) ).
fof(f95,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f45]) ).
fof(f96,plain,
iext(uri_rdf_first,sK13,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f97,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(cnf_transformation,[],[f45]) ).
fof(f98,plain,
iext(uri_rdf_first,sK12,uri_ex_w1),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
iext(uri_owl_oneOf,uri_ex_c3,sK12),
inference(cnf_transformation,[],[f45]) ).
fof(f100,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f101,plain,
iext(uri_rdf_first,sK11,uri_ex_w3),
inference(cnf_transformation,[],[f45]) ).
fof(f102,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f45]) ).
fof(f103,plain,
iext(uri_rdf_first,sK10,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f104,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK10),
inference(cnf_transformation,[],[f45]) ).
fof(f105,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f45]) ).
fof(f106,plain,
iext(uri_rdf_first,sK9,uri_ex_w2),
inference(cnf_transformation,[],[f45]) ).
fof(f107,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f45]) ).
fof(f108,plain,
iext(uri_rdf_first,sK8,uri_ex_w1),
inference(cnf_transformation,[],[f45]) ).
fof(f109,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK8),
inference(cnf_transformation,[],[f45]) ).
fof(f110,plain,
! [X3,X0,X1,X6,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,X6)
| ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X6) ),
inference(equality_resolution,[],[f64]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X6] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X6)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X6) ),
inference(equality_resolution,[],[f63]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( ic(X0)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( ic(X0)
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sP0(X2,X1,X0)
| ~ iext(uri_owl_unionOf,X2,X3)
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_64,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,[],[f61]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X0,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X0,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( X2 = X5 )
| ~ icext(X0,X5)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP2(X3,X2,X1,X0)
| ~ iext(uri_owl_oneOf,X3,X4)
| ~ sP3(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_83,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,[],[f80]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X1)
| ~ ic(X0)
| ~ icext(X1,sK7(X0,X1))
| ~ icext(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_equivalentClass,X0,X1)
| icext(X1,sK7(X0,X1))
| icext(X0,sK7(X0,X1))
| ~ ic(X1)
| ~ ic(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_90,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(cnf_transformation,[],[f87]) ).
tcf(c_91,plain,
iext(uri_owl_oneOf,uri_ex_c1,sK8),
inference(cnf_transformation,[],[f109]) ).
tcf(c_92,plain,
iext(uri_rdf_first,sK8,uri_ex_w1),
inference(cnf_transformation,[],[f108]) ).
tcf(c_93,plain,
iext(uri_rdf_rest,sK8,sK9),
inference(cnf_transformation,[],[f107]) ).
tcf(c_94,plain,
iext(uri_rdf_first,sK9,uri_ex_w2),
inference(cnf_transformation,[],[f106]) ).
tcf(c_95,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f105]) ).
tcf(c_96,plain,
iext(uri_owl_oneOf,uri_ex_c2,sK10),
inference(cnf_transformation,[],[f104]) ).
tcf(c_97,plain,
iext(uri_rdf_first,sK10,uri_ex_w2),
inference(cnf_transformation,[],[f103]) ).
tcf(c_98,plain,
iext(uri_rdf_rest,sK10,sK11),
inference(cnf_transformation,[],[f102]) ).
tcf(c_99,plain,
iext(uri_rdf_first,sK11,uri_ex_w3),
inference(cnf_transformation,[],[f101]) ).
tcf(c_100,plain,
iext(uri_rdf_rest,sK11,uri_rdf_nil),
inference(cnf_transformation,[],[f100]) ).
tcf(c_101,plain,
iext(uri_owl_oneOf,uri_ex_c3,sK12),
inference(cnf_transformation,[],[f99]) ).
tcf(c_102,plain,
iext(uri_rdf_first,sK12,uri_ex_w1),
inference(cnf_transformation,[],[f98]) ).
tcf(c_103,plain,
iext(uri_rdf_rest,sK12,sK13),
inference(cnf_transformation,[],[f97]) ).
tcf(c_104,plain,
iext(uri_rdf_first,sK13,uri_ex_w2),
inference(cnf_transformation,[],[f96]) ).
tcf(c_105,plain,
iext(uri_rdf_rest,sK13,sK14),
inference(cnf_transformation,[],[f95]) ).
tcf(c_106,plain,
iext(uri_rdf_first,sK14,uri_ex_w3),
inference(cnf_transformation,[],[f94]) ).
tcf(c_107,plain,
iext(uri_rdf_rest,sK14,uri_rdf_nil),
inference(cnf_transformation,[],[f93]) ).
tcf(c_108,plain,
iext(uri_owl_unionOf,uri_ex_c4,sK15),
inference(cnf_transformation,[],[f92]) ).
tcf(c_109,plain,
iext(uri_rdf_first,sK15,uri_ex_c1),
inference(cnf_transformation,[],[f91]) ).
tcf(c_110,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f90]) ).
tcf(c_111,plain,
iext(uri_rdf_first,sK16,uri_ex_c2),
inference(cnf_transformation,[],[f89]) ).
tcf(c_112,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f88]) ).
tcf(c_3940,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_4758,plain,
ic(uri_ex_c3),
inference(superposition,[status(thm)],[c_101,c_49]) ).
tcf(c_4763,plain,
ic(uri_ex_c4),
inference(superposition,[status(thm)],[c_108,c_51]) ).
tcf(c_4986,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_4987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4986,c_112]) ).
tcf(c_5073,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,sK16)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(superposition,[status(thm)],[c_4987,c_54]) ).
tcf(c_5147,plain,
! [X0: $i] :
( sP0(uri_ex_c4,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,sK15,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_108,c_5073]) ).
tcf(c_5148,plain,
! [X0: $i] :
( sP0(uri_ex_c4,X0,uri_ex_c2)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5147,c_110]) ).
tcf(c_5156,plain,
sP0(uri_ex_c4,uri_ex_c1,uri_ex_c2),
inference(superposition,[status(thm)],[c_109,c_5148]) ).
tcf(c_5388,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(uri_ex_c1,X2)
| ~ iext(uri_rdf_rest,sK8,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_91,c_69]) ).
tcf(c_5424,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_rest,sK8,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_91,c_70]) ).
tcf(c_5425,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,sK10,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK10,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_70]) ).
tcf(c_5461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X3,uri_ex_w2,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK13,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_83]) ).
tcf(c_5462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X3,uri_ex_w3,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK14,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_83]) ).
tcf(c_7483,plain,
ic(uri_ex_c4),
inference(superposition,[status(thm)],[c_108,c_51]) ).
tcf(c_7564,plain,
! [X0: $i] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_94,c_5388]) ).
tcf(c_7600,plain,
! [X0: $i] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7564,c_95,c_93]) ).
tcf(c_8140,plain,
! [X0: $i] :
( icext(uri_ex_c1,uri_ex_w2)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_94,c_5424]) ).
tcf(c_8172,plain,
! [X0: $i] :
( icext(uri_ex_c1,uri_ex_w2)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8140,c_95,c_93]) ).
tcf(c_8184,plain,
icext(uri_ex_c1,uri_ex_w2),
inference(superposition,[status(thm)],[c_92,c_8172]) ).
tcf(c_8407,plain,
! [X0: $i] :
( icext(uri_ex_c2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_99,c_5425]) ).
tcf(c_8429,plain,
! [X0: $i] :
( icext(uri_ex_c2,uri_ex_w3)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8407,c_100,c_98]) ).
tcf(c_8452,plain,
icext(uri_ex_c2,uri_ex_w3),
inference(superposition,[status(thm)],[c_97,c_8429]) ).
tcf(c_12349,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK13,sK14)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_5461]) ).
tcf(c_12362,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12349,c_107,c_105]) ).
tcf(c_12415,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X2,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,X1,sK13)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(superposition,[status(thm)],[c_12362,c_73]) ).
tcf(c_12487,plain,
! [X0: $i] :
( sP2(uri_ex_c3,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK12,sK13)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_101,c_12415]) ).
tcf(c_12488,plain,
! [X0: $i] :
( sP2(uri_ex_c3,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12487,c_103]) ).
tcf(c_61266,plain,
ic(uri_ex_c3),
inference(superposition,[status(thm)],[c_101,c_49]) ).
tcf(c_61486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ~ icext(uri_ex_c1,X3)
| ~ iext(uri_rdf_rest,sK8,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK8,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_91,c_71]) ).
tcf(c_61487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ~ icext(uri_ex_c2,X3)
| ~ iext(uri_rdf_rest,sK10,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK10,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_96,c_71]) ).
tcf(c_61578,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w2 )
| ( X0 = X1 )
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_rest,sK9,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK8,sK9)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_94,c_61486]) ).
tcf(c_61628,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w2 )
| ( X0 = X1 )
| ~ icext(uri_ex_c1,X1)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61578,c_95,c_93]) ).
tcf(c_61656,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X0 = X1 )
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,sK11,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK10,sK11)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_99,c_61487]) ).
tcf(c_61692,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X0 = X1 )
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61656,c_100,c_98]) ).
tcf(c_61800,plain,
! [X0: $i] :
( ( X0 = uri_ex_w2 )
| ( X0 = uri_ex_w1 )
| ~ icext(uri_ex_c1,X0) ),
inference(superposition,[status(thm)],[c_92,c_61628]) ).
tcf(c_61958,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK16,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_61959,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP1(uri_ex_c2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK16)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61958,c_112]) ).
tcf(c_62197,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X0,X2,uri_ex_c2)
| ~ iext(uri_rdf_rest,X1,sK16)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_unionOf,X0,X1) ),
inference(superposition,[status(thm)],[c_61959,c_54]) ).
tcf(c_62281,plain,
! [X0: $i] :
( sP0(uri_ex_c4,X0,uri_ex_c2)
| ~ iext(uri_rdf_rest,sK15,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_108,c_62197]) ).
tcf(c_62282,plain,
! [X0: $i] :
( sP0(uri_ex_c4,X0,uri_ex_c2)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62281,c_110]) ).
tcf(c_62289,plain,
sP0(uri_ex_c4,uri_ex_c1,uri_ex_c2),
inference(superposition,[status(thm)],[c_109,c_62282]) ).
tcf(c_62334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sP3(X3,uri_ex_w2,X1,X4,X0)
| ~ iext(uri_rdf_rest,sK13,X2)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_104,c_83]) ).
tcf(c_63481,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w2,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,uri_rdf_nil)
| ~ iext(uri_rdf_rest,sK13,sK14)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_106,c_62334]) ).
tcf(c_63494,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w2,X1,X2,X0)
| ~ iext(uri_rdf_rest,X0,sK13)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63481,c_107,c_105]) ).
tcf(c_63534,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X2,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,X1,sK13)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(superposition,[status(thm)],[c_63494,c_73]) ).
tcf(c_73303,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w3,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,sK14)
| ~ 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_106,c_5462]) ).
tcf(c_73316,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP3(uri_ex_w3,uri_ex_w3,X1,X2,X0)
| ~ iext(uri_rdf_rest,sK14,sK14)
| ~ iext(uri_rdf_rest,X0,sK14)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_73303,c_107]) ).
tcf(c_73467,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP2(X0,X2,uri_ex_w3,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK14,sK14)
| ~ iext(uri_rdf_rest,X1,sK14)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ),
inference(superposition,[status(thm)],[c_73316,c_73]) ).
tcf(c_73815,plain,
! [X0: $i] :
( sP2(uri_ex_c2,X0,uri_ex_w3,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK14,sK14)
| ~ iext(uri_rdf_rest,sK10,sK14)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_96,c_73467]) ).
tcf(c_74124,plain,
! [X0: $i] :
( sP2(uri_ex_c1,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK8,sK13)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_91,c_63534]) ).
tcf(c_74125,plain,
! [X0: $i] :
( sP2(uri_ex_c2,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK10,sK13)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_96,c_63534]) ).
tcf(c_74126,plain,
! [X0: $i] :
( sP2(uri_ex_c3,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK12,sK13)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_101,c_63534]) ).
tcf(c_74127,plain,
! [X0: $i] :
( sP2(uri_ex_c3,X0,uri_ex_w2,uri_ex_w3)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_74126,c_103]) ).
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_unionOf,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)
<=> ( X7 = X6
| X7 = X4
| X7 = 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_oneOf,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,[],[f18,f23,f22]) ).
fof(f27,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(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(flattening,[],[f27]) ).
fof(f29,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,[],[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) ) )
& ( ( ( 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))],[f29]) ).
fof(f37,plain,
! [X0,X2,X4,X6] :
( ( ~ sP2(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| X7 = X6
| X7 = X4
| X7 = X2 )
& ( ( X6 != X7
& X4 != X7
& X2 != X7 )
| icext(X0,X7) ) )
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| X7 = X6
| X7 = X4
| X7 = X2 )
& ( ~ icext(X0,X7)
| ( X6 != X7
& X4 != X7
& X2 != X7 ) ) )
| ~ ic(X0)
| sP2(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0,X2,X4,X6] :
( ( ~ sP2(X0,X2,X4,X6)
| ( ! [X7] :
( ( ~ icext(X0,X7)
| X7 = X6
| X7 = X4
| X7 = X2 )
& ( ( X6 != X7
& X4 != X7
& X2 != X7 )
| icext(X0,X7) ) )
& ic(X0) ) )
& ( ? [X7] :
( ( icext(X0,X7)
| X7 = X6
| X7 = X4
| X7 = X2 )
& ( ~ icext(X0,X7)
| ( X6 != X7
& X4 != X7
& X2 != X7 ) ) )
| ~ ic(X0)
| sP2(X0,X2,X4,X6) ) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( ~ sP2(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X3 = X5
| X2 = X5
| X1 = X5 )
& ( ( X3 != X5
& X2 != X5
& X1 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ? [X4] :
( ( icext(X0,X4)
| X3 = X4
| X2 = X4
| X1 = X4 )
& ( ~ icext(X0,X4)
| ( X3 != X4
& X2 != X4
& X1 != X4 ) ) )
| ~ ic(X0)
| sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ( ~ sP2(X0,X1,X2,X3)
| ( ! [X5] :
( ( ~ icext(X0,X5)
| X3 = X5
| X2 = X5
| X1 = X5 )
& ( ( X3 != X5
& X2 != X5
& X1 != X5 )
| icext(X0,X5) ) )
& ic(X0) ) )
& ( ( ( icext(X0,sK6(X0,X1,X2,X3))
| sK6(X0,X1,X2,X3) = X3
| sK6(X0,X1,X2,X3) = X2
| sK6(X0,X1,X2,X3) = X1 )
& ( ~ icext(X0,sK6(X0,X1,X2,X3))
| ( sK6(X0,X1,X2,X3) != X3
& sK6(X0,X1,X2,X3) != X2
& sK6(X0,X1,X2,X3) != X1 ) ) )
| ~ ic(X0)
| sP2(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X4,sK6(X0,X1,X2,X3))],[f39]) ).
fof(f52,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X2,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X2,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X1,X4)
| icext(X0,X4) ),
inference(cnf_transformation,[],[f30]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| ~ icext(X0,X5)
| X3 = X5
| X2 = X5
| X1 = X5 ),
inference(cnf_transformation,[],[f40]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| X3 != X5
| icext(X0,X5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| X2 != X5
| icext(X0,X5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X3)
| X1 != X5
| icext(X0,X5) ),
inference(cnf_transformation,[],[f40]) ).
fof(f112,plain,
! [X2,X3,X0,X5] :
( ~ sP2(X0,X5,X2,X3)
| icext(X0,X5) ),
inference(equality_resolution,[],[f74]) ).
fof(f113,plain,
! [X3,X0,X1,X5] :
( ~ sP2(X0,X1,X5,X3)
| icext(X0,X5) ),
inference(equality_resolution,[],[f73]) ).
fof(f114,plain,
! [X2,X0,X1,X5] :
( ~ sP2(X0,X1,X2,X5)
| icext(X0,X5) ),
inference(equality_resolution,[],[f72]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X0,X3)
| ~ icext(X1,X3)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X0,X3)
| ~ icext(X2,X3)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X2,X3)
| icext(X1,X3)
| ~ icext(X0,X3)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X0,X1)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X0,X2)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f113]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( icext(X0,X3)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X2 = X4 )
| ( X1 = X4 )
| ~ icext(X0,X4)
| ~ sP2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_5157,plain,
! [X0: $i] :
( icext(uri_ex_c2,X0)
| icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c4,X0) ),
inference(superposition,[status(thm)],[c_5156,c_63]) ).
tcf(c_5272,plain,
! [X0: $i] :
( iext(uri_owl_equivalentClass,X0,uri_ex_c4)
| icext(uri_ex_c2,sK7(X0,uri_ex_c4))
| icext(uri_ex_c1,sK7(X0,uri_ex_c4))
| icext(X0,sK7(X0,uri_ex_c4))
| ~ ic(uri_ex_c4)
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_85,c_5157]) ).
tcf(c_5280,plain,
! [X0: $i] :
( iext(uri_owl_equivalentClass,X0,uri_ex_c4)
| icext(uri_ex_c2,sK7(X0,uri_ex_c4))
| icext(uri_ex_c1,sK7(X0,uri_ex_c4))
| icext(X0,sK7(X0,uri_ex_c4))
| ~ ic(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5272,c_4763]) ).
tcf(c_12504,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X1 = uri_ex_w2 )
| ( X0 = X1 )
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_12488,c_82]) ).
tcf(c_12505,plain,
! [X0: $i] :
( icext(uri_ex_c3,uri_ex_w3)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_12488,c_81]) ).
tcf(c_12506,plain,
! [X0: $i] :
( icext(uri_ex_c3,uri_ex_w2)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_12488,c_80]) ).
tcf(c_12541,plain,
icext(uri_ex_c3,uri_ex_w3),
inference(superposition,[status(thm)],[c_102,c_12505]) ).
tcf(c_12548,plain,
icext(uri_ex_c3,uri_ex_w2),
inference(superposition,[status(thm)],[c_102,c_12506]) ).
tcf(c_13198,plain,
! [X0: $i] :
( ( X0 = uri_ex_w3 )
| ( X0 = uri_ex_w2 )
| ( X0 = uri_ex_w1 )
| ~ icext(uri_ex_c3,X0) ),
inference(superposition,[status(thm)],[c_102,c_12504]) ).
tcf(c_13233,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ~ ic(uri_ex_c3) ),
inference(superposition,[status(thm)],[c_5280,c_13198]) ).
tcf(c_13347,plain,
( icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13233,c_3940,c_4758]) ).
tcf(c_62290,plain,
! [X0: $i] :
( icext(uri_ex_c2,X0)
| icext(uri_ex_c1,X0)
| ~ icext(uri_ex_c4,X0) ),
inference(superposition,[status(thm)],[c_62289,c_63]) ).
tcf(c_62291,plain,
! [X0: $i] :
( icext(uri_ex_c4,X0)
| ~ icext(uri_ex_c2,X0) ),
inference(superposition,[status(thm)],[c_62289,c_62]) ).
tcf(c_62292,plain,
! [X0: $i] :
( icext(uri_ex_c4,X0)
| ~ icext(uri_ex_c1,X0) ),
inference(superposition,[status(thm)],[c_62289,c_61]) ).
tcf(c_73918,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X0 = X1 )
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_rest,sK14,sK14)
| ~ iext(uri_rdf_rest,sK10,sK14)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_73815,c_82]) ).
tcf(c_74168,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X1 = uri_ex_w2 )
| ( X0 = X1 )
| ~ icext(uri_ex_c3,X1)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_74127,c_82]) ).
tcf(c_74169,plain,
! [X0: $i] :
( icext(uri_ex_c3,uri_ex_w3)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_74127,c_81]) ).
tcf(c_74170,plain,
! [X0: $i] :
( icext(uri_ex_c3,uri_ex_w2)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_74127,c_80]) ).
tcf(c_74171,plain,
! [X0: $i] :
( icext(uri_ex_c3,X0)
| ~ iext(uri_rdf_first,sK12,X0) ),
inference(superposition,[status(thm)],[c_74127,c_79]) ).
tcf(c_74294,plain,
icext(uri_ex_c3,uri_ex_w3),
inference(global_subsumption_just,[status(thm)],[c_74169,c_12541]) ).
tcf(c_74402,plain,
icext(uri_ex_c3,uri_ex_w2),
inference(global_subsumption_just,[status(thm)],[c_74170,c_12548]) ).
tcf(c_74572,plain,
icext(uri_ex_c3,uri_ex_w1),
inference(superposition,[status(thm)],[c_102,c_74171]) ).
tcf(c_74611,plain,
! [X0: $i] :
( icext(uri_ex_c1,uri_ex_w2)
| ~ iext(uri_rdf_rest,sK8,sK13)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_74124,c_80]) ).
tcf(c_74612,plain,
! [X0: $i] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_rest,sK8,sK13)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(superposition,[status(thm)],[c_74124,c_79]) ).
tcf(c_74871,plain,
icext(uri_ex_c1,uri_ex_w2),
inference(global_subsumption_just,[status(thm)],[c_74611,c_8184]) ).
tcf(c_74873,plain,
icext(uri_ex_c4,uri_ex_w2),
inference(superposition,[status(thm)],[c_74871,c_62292]) ).
tcf(c_75069,plain,
! [X0: $i] :
( icext(uri_ex_c1,X0)
| ~ iext(uri_rdf_first,sK8,X0) ),
inference(global_subsumption_just,[status(thm)],[c_74612,c_7600]) ).
tcf(c_75075,plain,
icext(uri_ex_c1,uri_ex_w1),
inference(superposition,[status(thm)],[c_92,c_75069]) ).
tcf(c_75246,plain,
icext(uri_ex_c4,uri_ex_w1),
inference(superposition,[status(thm)],[c_75075,c_62292]) ).
tcf(c_75380,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_w3 )
| ( X0 = X1 )
| ~ icext(uri_ex_c2,X1)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(global_subsumption_just,[status(thm)],[c_73918,c_61692]) ).
tcf(c_75390,plain,
! [X0: $i] :
( ( X0 = uri_ex_w3 )
| ( X0 = uri_ex_w2 )
| ~ icext(uri_ex_c2,X0) ),
inference(superposition,[status(thm)],[c_97,c_75380]) ).
tcf(c_75400,plain,
( icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13347,c_75390]) ).
tcf(c_76188,plain,
! [X0: $i] :
( icext(uri_ex_c2,uri_ex_w3)
| ~ iext(uri_rdf_rest,sK10,sK13)
| ~ iext(uri_rdf_first,sK10,X0) ),
inference(superposition,[status(thm)],[c_74125,c_81]) ).
tcf(c_76324,plain,
icext(uri_ex_c2,uri_ex_w3),
inference(global_subsumption_just,[status(thm)],[c_76188,c_8452]) ).
tcf(c_76326,plain,
icext(uri_ex_c4,uri_ex_w3),
inference(superposition,[status(thm)],[c_76324,c_62291]) ).
tcf(c_79765,plain,
! [X0: $i] :
( ( X0 = uri_ex_w3 )
| ( X0 = uri_ex_w2 )
| ( X0 = uri_ex_w1 )
| ~ icext(uri_ex_c3,X0) ),
inference(superposition,[status(thm)],[c_102,c_74168]) ).
tcf(c_81364,plain,
! [X0: $i] :
( iext(uri_owl_equivalentClass,uri_ex_c3,X0)
| icext(X0,sK7(uri_ex_c3,X0))
| ( sK7(uri_ex_c3,X0) = uri_ex_w3 )
| ( sK7(uri_ex_c3,X0) = uri_ex_w2 )
| ( sK7(uri_ex_c3,X0) = uri_ex_w1 )
| ~ ic(uri_ex_c3)
| ~ ic(X0) ),
inference(superposition,[status(thm)],[c_85,c_79765]) ).
tcf(c_81454,plain,
! [X0: $i] :
( iext(uri_owl_equivalentClass,uri_ex_c3,X0)
| icext(X0,sK7(uri_ex_c3,X0))
| ( sK7(uri_ex_c3,X0) = uri_ex_w3 )
| ( sK7(uri_ex_c3,X0) = uri_ex_w2 )
| ( sK7(uri_ex_c3,X0) = uri_ex_w1 )
| ~ ic(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_81364,c_61266]) ).
tcf(c_87159,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ~ ic(uri_ex_c4) ),
inference(superposition,[status(thm)],[c_81454,c_62290]) ).
tcf(c_87182,plain,
( icext(uri_ex_c2,sK7(uri_ex_c3,uri_ex_c4))
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87159,c_3940,c_7483]) ).
tcf(c_87552,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(global_subsumption_just,[status(thm)],[c_87182,c_75400]) ).
tcf(c_87553,plain,
( icext(uri_ex_c1,sK7(uri_ex_c3,uri_ex_c4))
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(renaming,[status(thm)],[c_87552]) ).
tcf(c_87558,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w3 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87553,c_61800]) ).
tcf(c_87568,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ~ ic(uri_ex_c4)
| ~ ic(uri_ex_c3)
| ~ icext(uri_ex_c4,uri_ex_w3)
| ~ icext(uri_ex_c3,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(superposition,[status(thm)],[c_87558,c_84]) ).
tcf(c_87572,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ~ icext(uri_ex_c3,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87568,c_3940,c_7483,c_61266,c_76326]) ).
tcf(c_87602,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 )
| ~ icext(uri_ex_c3,uri_ex_w3) ),
inference(superposition,[status(thm)],[c_87558,c_87572]) ).
tcf(c_87603,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87602,c_74294]) ).
tcf(c_87612,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ~ ic(uri_ex_c4)
| ~ ic(uri_ex_c3)
| ~ icext(uri_ex_c4,uri_ex_w1)
| ~ icext(uri_ex_c3,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(superposition,[status(thm)],[c_87603,c_84]) ).
tcf(c_87616,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ~ icext(uri_ex_c3,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_87612,c_3940,c_7483,c_61266,c_75246]) ).
tcf(c_87624,plain,
( ( sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2 )
| ~ icext(uri_ex_c3,uri_ex_w1) ),
inference(superposition,[status(thm)],[c_87603,c_87616]) ).
tcf(c_87625,plain,
sK7(uri_ex_c3,uri_ex_c4) = uri_ex_w2,
inference(forward_subsumption_resolution,[status(thm)],[c_87624,c_74572]) ).
tcf(c_88772,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ ic(uri_ex_c4)
| ~ ic(uri_ex_c3)
| ~ icext(uri_ex_c4,uri_ex_w2)
| ~ icext(uri_ex_c3,sK7(uri_ex_c3,uri_ex_c4)) ),
inference(superposition,[status(thm)],[c_87625,c_84]) ).
tcf(c_88776,plain,
( iext(uri_owl_equivalentClass,uri_ex_c3,uri_ex_c4)
| ~ ic(uri_ex_c4)
| ~ ic(uri_ex_c3)
| ~ icext(uri_ex_c4,uri_ex_w2)
| ~ icext(uri_ex_c3,uri_ex_w2) ),
inference(light_normalisation,[status(thm)],[c_88772,c_87625]) ).
tcf(c_88777,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_88776,c_3940,c_7483,c_61266,c_74873,c_74402]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB021+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 15:31:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 27.85/5.87 % SZS status Started for theBenchmark.p
% 27.85/5.87 % SZS status Theorem for theBenchmark.p
% 27.85/5.87
% 27.85/5.87 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.85/5.87
% 27.85/5.87 % ------ iProver source info
% 27.85/5.87
% 27.85/5.87 % git: date: 2026-07-19 20:42:38 +0200
% 27.85/5.87 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.85/5.87 % git: non_committed_changes: false
% 27.85/5.87
% 27.85/5.87 % ------ Parsing...
% 27.85/5.87 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.85/5.87
% 27.85/5.87 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 27.85/5.87
% 27.85/5.87 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.85/5.87
% 27.85/5.87 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.85/5.87 % ------ Proving...
% 27.85/5.87 % ------ Problem Properties
% 27.85/5.87
% 27.85/5.87 %
% 27.85/5.87 % clauses 63
% 27.85/5.87 % conjectures 1
% 27.85/5.87 % EPR 51
% 27.85/5.87 % Horn 56
% 27.85/5.87 % unary 23
% 27.85/5.87 % binary 13
% 27.85/5.87 % lits 186
% 27.85/5.87 % lits eq 15
% 27.85/5.87 % fd_pure 0
% 27.85/5.87 % fd_pseudo 0
% 27.85/5.87 % fd_cond 0
% 27.85/5.87 % fd_pseudo_cond 2
% 27.85/5.87 % AC symbols 0
% 27.85/5.87
% 27.85/5.87 % ------ Schedule dynamic 5 is on
% 27.85/5.87
% 27.85/5.87 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.85/5.87
% 27.85/5.87
% 27.85/5.87 % ------
% 27.85/5.87 % Current options:
% 27.85/5.87 % ------
% 27.85/5.87
% 27.85/5.87
% 27.85/5.87 %
% 27.85/5.87
% 27.85/5.87 % ------ Proving...
% 27.85/5.87 %
% 27.85/5.87
% 27.85/5.87 % SZS status Theorem for theBenchmark.p
% 27.85/5.87
% 27.85/5.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.85/5.87
% 27.85/5.87
%------------------------------------------------------------------------------