%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWB055+1 : 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 : n015.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 03:04:35 PM UTC 2026
% Result : Theorem 24.76s 9.27s
% Output : CNFRefutation 24.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 5
% Syntax : Number of formulae : 98 ( 20 unt; 0 def)
% Number of atoms : 524 ( 85 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 737 ( 311 ~; 344 |; 72 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 233 ( 0 sgn 220 !; 13 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
fof(f202,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X1)
& ic(X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentclass_ext) ).
fof(f296,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/Axioms/SWB001+0.ax',owl_enum_class_002) ).
fof(f351,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/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).
fof(f559,conjecture,
? [X0,X1] :
( iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_enum_ext) ).
fof(f560,negated_conjecture,
~ ? [X0,X1] :
( iext(uri_rdf_rest,X1,X0)
& iext(uri_rdf_first,X1,uri_ex_x)
& iext(uri_owl_oneOf,uri_ex_e,X1)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_rdf_first,X0,uri_ex_y) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_y)
& iext(uri_rdf_rest,X2,X1)
& iext(uri_rdf_first,X2,uri_ex_x)
& iext(uri_owl_equivalentClass,uri_ex_e,X0)
& iext(uri_owl_oneOf,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_enum_ext) ).
fof(f562,plain,
! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y) ),
inference(ennf_transformation,[],[f560]) ).
fof(f571,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,[],[f296]) ).
fof(f572,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,[],[f571]) ).
fof(f586,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ( ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f202]) ).
fof(f652,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,[],[f572]) ).
fof(f653,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,[],[f652]) ).
fof(f654,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,[],[f653]) ).
fof(f655,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,sK11(X0,X2,X4))
| sK11(X0,X2,X4) = X4
| sK11(X0,X2,X4) = X2 )
& ( ~ icext(X0,sK11(X0,X2,X4))
| ( sK11(X0,X2,X4) != X4
& sK11(X0,X2,X4) != X2 ) ) )
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X5,sK11(X0,X2,X4))],[f654]) ).
fof(f664,plain,
( iext(uri_rdf_rest,sK15,uri_rdf_nil)
& iext(uri_rdf_first,sK15,uri_ex_y)
& iext(uri_rdf_rest,sK16,sK15)
& iext(uri_rdf_first,sK16,uri_ex_x)
& iext(uri_owl_equivalentClass,uri_ex_e,sK14)
& iext(uri_owl_oneOf,sK14,sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X0,sK14),skolemize(X1,sK15),skolemize(X2,sK16)],[f561]) ).
fof(f665,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,[],[f351]) ).
fof(f666,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,[],[f665]) ).
fof(f667,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,[],[f666]) ).
fof(f668,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,sK17(X0,X1))
| icext(X1,sK17(X0,X1)) )
& ( ~ icext(X0,sK17(X0,X1))
| ~ icext(X1,sK17(X0,X1)) ) )
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X2,sK17(X0,X1))],[f667]) ).
fof(f729,plain,
! [X0,X1] :
( ~ iext(uri_rdf_rest,X1,X0)
| ~ iext(uri_rdf_first,X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,uri_ex_e,X1)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,uri_ex_y) ),
inference(cnf_transformation,[],[f562]) ).
fof(f745,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,[],[f655]) ).
fof(f746,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,[],[f655]) ).
fof(f747,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,[],[f655]) ).
fof(f749,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)
| icext(X0,sK11(X0,X2,X4))
| sK11(X0,X2,X4) = X4
| sK11(X0,X2,X4) = X2
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f655]) ).
fof(f750,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)
| ~ icext(X0,sK11(X0,X2,X4))
| sK11(X0,X2,X4) != X4
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f655]) ).
fof(f751,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)
| ~ icext(X0,sK11(X0,X2,X4))
| sK11(X0,X2,X4) != X2
| ~ ic(X0)
| iext(uri_owl_oneOf,X0,X1) ),
inference(cnf_transformation,[],[f655]) ).
fof(f763,plain,
iext(uri_rdf_rest,sK15,uri_rdf_nil),
inference(cnf_transformation,[],[f664]) ).
fof(f764,plain,
iext(uri_rdf_first,sK15,uri_ex_y),
inference(cnf_transformation,[],[f664]) ).
fof(f765,plain,
iext(uri_rdf_rest,sK16,sK15),
inference(cnf_transformation,[],[f664]) ).
fof(f766,plain,
iext(uri_rdf_first,sK16,uri_ex_x),
inference(cnf_transformation,[],[f664]) ).
fof(f767,plain,
iext(uri_owl_equivalentClass,uri_ex_e,sK14),
inference(cnf_transformation,[],[f664]) ).
fof(f768,plain,
iext(uri_owl_oneOf,sK14,sK16),
inference(cnf_transformation,[],[f664]) ).
fof(f787,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f668]) ).
fof(f788,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f668]) ).
fof(f795,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f586]) ).
fof(f938,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,[],[f747]) ).
fof(f939,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,[],[f746]) ).
tcf(c_49,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(cnf_transformation,[],[f729]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(uri_owl_oneOf,X0,X3)
| ~ ic(X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X3,X1)
| ~ icext(X0,sK11(X0,X1,X2))
| ( sK11(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f751]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(uri_owl_oneOf,X0,X3)
| ~ ic(X0)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_first,X3,X1)
| ~ icext(X0,sK11(X0,X1,X2))
| ( sK11(X0,X1,X2) != X2 ) ),
inference(cnf_transformation,[],[f750]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( iext(uri_owl_oneOf,X4,X0)
| icext(X4,sK11(X4,X1,X3))
| ( sK11(X4,X1,X3) = X3 )
| ( sK11(X4,X1,X3) = X1 )
| ~ ic(X4)
| ~ 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,[],[f749]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X4,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f938]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( icext(X4,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f939]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ( X1 = X5 )
| ~ icext(X4,X5)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X4,X0)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_83,plain,
iext(uri_owl_oneOf,sK14,sK16),
inference(cnf_transformation,[],[f768]) ).
tcf(c_84,plain,
iext(uri_owl_equivalentClass,uri_ex_e,sK14),
inference(cnf_transformation,[],[f767]) ).
tcf(c_85,plain,
iext(uri_rdf_first,sK16,uri_ex_x),
inference(cnf_transformation,[],[f766]) ).
tcf(c_86,plain,
iext(uri_rdf_rest,sK16,sK15),
inference(cnf_transformation,[],[f765]) ).
tcf(c_87,plain,
iext(uri_rdf_first,sK15,uri_ex_y),
inference(cnf_transformation,[],[f764]) ).
tcf(c_88,plain,
iext(uri_rdf_rest,sK15,uri_rdf_nil),
inference(cnf_transformation,[],[f763]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X0,X2)
| ~ icext(X1,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f788]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f787]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f795]) ).
tcf(c_17599,plain,
( ~ iext(uri_owl_oneOf,uri_ex_e,sK16)
| ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK15,uri_ex_y)
| ~ iext(uri_rdf_first,sK16,uri_ex_x) ),
inference(superposition,[status(thm)],[c_86,c_49]) ).
tcf(c_17600,plain,
( ~ iext(uri_owl_oneOf,uri_ex_e,sK16)
| ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK15,uri_ex_y) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17599,c_85]) ).
tcf(c_17604,plain,
~ iext(uri_owl_oneOf,uri_ex_e,sK16),
inference(global_subsumption_just,[status(thm)],[c_17600,c_88,c_87,c_17600]) ).
tcf(c_17757,plain,
ic(uri_ex_e),
inference(superposition,[status(thm)],[c_84,c_114]) ).
tcf(c_18144,plain,
! [X0: $i] :
( icext(uri_ex_e,X0)
| ~ icext(sK14,X0) ),
inference(superposition,[status(thm)],[c_84,c_111]) ).
tcf(c_18154,plain,
! [X0: $i] :
( icext(sK14,X0)
| ~ icext(uri_ex_e,X0) ),
inference(superposition,[status(thm)],[c_84,c_112]) ).
tcf(c_18584,plain,
! [X0: $i,X1: $i,X2: $i] :
( iext(uri_owl_oneOf,X2,sK16)
| icext(X2,sK11(X2,uri_ex_x,X1))
| ( sK11(X2,uri_ex_x,X1) = uri_ex_x )
| ( sK11(X2,uri_ex_x,X1) = X1 )
| ~ ic(X2)
| ~ iext(uri_rdf_rest,sK16,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_67]) ).
tcf(c_18827,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X2,uri_ex_x)
| ~ iext(uri_owl_oneOf,X2,sK16)
| ~ iext(uri_rdf_rest,sK16,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_69]) ).
tcf(c_19088,plain,
! [X0: $i,X1: $i,X2: $i] :
( icext(X2,X1)
| ~ iext(uri_owl_oneOf,X2,sK16)
| ~ iext(uri_rdf_rest,sK16,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_70]) ).
tcf(c_19472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = uri_ex_x )
| ( X1 = X3 )
| ~ icext(X2,X3)
| ~ iext(uri_owl_oneOf,X2,sK16)
| ~ iext(uri_rdf_rest,sK16,X0)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(superposition,[status(thm)],[c_85,c_71]) ).
tcf(c_32364,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,X1,sK16)
| icext(X1,sK11(X1,uri_ex_x,X0))
| ( sK11(X1,uri_ex_x,X0) = uri_ex_x )
| ( sK11(X1,uri_ex_x,X0) = X0 )
| ~ ic(X1)
| ~ iext(uri_rdf_rest,sK16,sK15)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_88,c_18584]) ).
tcf(c_32365,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,X1,sK16)
| icext(X1,sK11(X1,uri_ex_x,X0))
| ( sK11(X1,uri_ex_x,X0) = uri_ex_x )
| ( sK11(X1,uri_ex_x,X0) = X0 )
| ~ ic(X1)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32364,c_86]) ).
tcf(c_33385,plain,
! [X0: $i,X1: $i] :
( icext(X1,uri_ex_x)
| ~ iext(uri_rdf_rest,sK16,sK15)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_88,c_18827]) ).
tcf(c_33386,plain,
! [X0: $i,X1: $i] :
( icext(X1,uri_ex_x)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33385,c_86]) ).
tcf(c_33397,plain,
! [X0: $i] :
( icext(X0,uri_ex_x)
| ~ iext(uri_owl_oneOf,X0,sK16) ),
inference(superposition,[status(thm)],[c_87,c_33386]) ).
tcf(c_33407,plain,
icext(sK14,uri_ex_x),
inference(superposition,[status(thm)],[c_83,c_33397]) ).
tcf(c_33417,plain,
icext(uri_ex_e,uri_ex_x),
inference(superposition,[status(thm)],[c_33407,c_18144]) ).
tcf(c_33805,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_rdf_rest,sK16,sK15)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_88,c_19088]) ).
tcf(c_33806,plain,
! [X0: $i,X1: $i] :
( icext(X1,X0)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33805,c_86]) ).
tcf(c_33817,plain,
! [X0: $i] :
( icext(X0,uri_ex_y)
| ~ iext(uri_owl_oneOf,X0,sK16) ),
inference(superposition,[status(thm)],[c_87,c_33806]) ).
tcf(c_33825,plain,
icext(sK14,uri_ex_y),
inference(superposition,[status(thm)],[c_83,c_33817]) ).
tcf(c_33829,plain,
icext(uri_ex_e,uri_ex_y),
inference(superposition,[status(thm)],[c_33825,c_18144]) ).
tcf(c_34133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = uri_ex_x )
| ( X0 = X2 )
| ~ icext(X1,X2)
| ~ iext(uri_rdf_rest,sK16,sK15)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_88,c_19472]) ).
tcf(c_34134,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = uri_ex_x )
| ( X0 = X2 )
| ~ icext(X1,X2)
| ~ iext(uri_owl_oneOf,X1,sK16)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34133,c_86]) ).
tcf(c_75370,plain,
! [X0: $i] :
( iext(uri_owl_oneOf,uri_ex_e,sK16)
| icext(sK14,sK11(uri_ex_e,uri_ex_x,X0))
| ( sK11(uri_ex_e,uri_ex_x,X0) = uri_ex_x )
| ( sK11(uri_ex_e,uri_ex_x,X0) = X0 )
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_32365,c_18154]) ).
tcf(c_75399,plain,
! [X0: $i] :
( icext(sK14,sK11(uri_ex_e,uri_ex_x,X0))
| ( sK11(uri_ex_e,uri_ex_x,X0) = uri_ex_x )
| ( sK11(uri_ex_e,uri_ex_x,X0) = X0 )
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_75370,c_17604,c_17757]) ).
tcf(c_76876,plain,
! [X0: $i,X1: $i] :
( ( X1 = uri_ex_x )
| ( X1 = uri_ex_y )
| ~ icext(X0,X1)
| ~ iext(uri_owl_oneOf,X0,sK16) ),
inference(superposition,[status(thm)],[c_87,c_34134]) ).
tcf(c_76890,plain,
! [X0: $i] :
( ( X0 = uri_ex_x )
| ( X0 = uri_ex_y )
| ~ icext(sK14,X0) ),
inference(superposition,[status(thm)],[c_83,c_76876]) ).
tcf(c_77140,plain,
! [X0: $i] :
( ( sK11(uri_ex_e,uri_ex_x,X0) = uri_ex_x )
| ( sK11(uri_ex_e,uri_ex_x,X0) = uri_ex_y )
| ( sK11(uri_ex_e,uri_ex_x,X0) = X0 )
| ~ iext(uri_rdf_first,sK15,X0) ),
inference(superposition,[status(thm)],[c_75399,c_76890]) ).
tcf(c_78999,plain,
( ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_x )
| ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y ) ),
inference(superposition,[status(thm)],[c_87,c_77140]) ).
tcf(c_79007,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,uri_ex_e,X0)
| ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ icext(uri_ex_e,sK11(uri_ex_e,uri_ex_x,uri_ex_y)) ),
inference(superposition,[status(thm)],[c_78999,c_65]) ).
tcf(c_79013,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,uri_ex_e,X0)
| ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ icext(uri_ex_e,sK11(uri_ex_e,uri_ex_x,uri_ex_y)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79007,c_17757]) ).
tcf(c_79023,plain,
! [X0: $i,X1: $i] :
( ~ icext(uri_ex_e,sK11(uri_ex_e,uri_ex_x,uri_ex_y))
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y ) ),
inference(global_subsumption_just,[status(thm)],[c_79013,c_49,c_79013]) ).
tcf(c_79024,plain,
! [X0: $i,X1: $i] :
( ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ icext(uri_ex_e,sK11(uri_ex_e,uri_ex_x,uri_ex_y)) ),
inference(renaming,[status(thm)],[c_79023]) ).
tcf(c_79040,plain,
! [X0: $i,X1: $i] :
( ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ icext(uri_ex_e,uri_ex_x)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(superposition,[status(thm)],[c_78999,c_79024]) ).
tcf(c_79041,plain,
! [X0: $i,X1: $i] :
( ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79040,c_33417]) ).
tcf(c_79063,plain,
( ( sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y )
| ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK15,uri_ex_y)
| ~ iext(uri_rdf_first,sK16,uri_ex_x) ),
inference(superposition,[status(thm)],[c_86,c_79041]) ).
tcf(c_79071,plain,
sK11(uri_ex_e,uri_ex_x,uri_ex_y) = uri_ex_y,
inference(forward_subsumption_resolution,[status(thm)],[c_79063,c_88,c_87,c_85]) ).
tcf(c_79072,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ ic(uri_ex_e)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ icext(uri_ex_e,sK11(uri_ex_e,uri_ex_x,uri_ex_y)) ),
inference(superposition,[status(thm)],[c_79071,c_66]) ).
tcf(c_79079,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ ic(uri_ex_e)
| ~ icext(uri_ex_e,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_79072,c_79071]) ).
tcf(c_79080,plain,
! [X0: $i,X1: $i] :
( iext(uri_owl_oneOf,uri_ex_e,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_79079,c_17757,c_33829]) ).
tcf(c_79089,plain,
! [X0: $i,X1: $i] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(global_subsumption_just,[status(thm)],[c_79080,c_49,c_79080]) ).
tcf(c_79090,plain,
! [X0: $i,X1: $i] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,uri_ex_y)
| ~ iext(uri_rdf_first,X0,uri_ex_x)
| ~ iext(uri_rdf_rest,X0,X1) ),
inference(renaming,[status(thm)],[c_79089]) ).
tcf(c_79100,plain,
( ~ iext(uri_rdf_rest,sK15,uri_rdf_nil)
| ~ iext(uri_rdf_first,sK15,uri_ex_y)
| ~ iext(uri_rdf_first,sK16,uri_ex_x) ),
inference(superposition,[status(thm)],[c_86,c_79090]) ).
tcf(c_79107,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_79100,c_88,c_87,c_85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB055+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n015.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 15:45:01 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.41 Running first-order theorem proving
% 0.13/5.41 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
% 0.13/5.42
% 0.13/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.42
% 0.13/5.42 % Detected problem language: tptp
% 0.13/5.43 % Proving...
% 24.76/9.27 % SZS status Started for theBenchmark.p
% 24.76/9.27 % SZS status Theorem for theBenchmark.p
% 24.76/9.27
% 24.76/9.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 24.76/9.27
% 24.76/9.27 % ------ iProver source info
% 24.76/9.27
% 24.76/9.27 % git: date: 2026-07-19 20:42:38 +0200
% 24.76/9.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 24.76/9.27 % git: non_committed_changes: false
% 24.76/9.27
% 24.76/9.27 % ------ Parsing...
% 24.76/9.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 24.76/9.27
% 24.76/9.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 24.76/9.27
% 24.76/9.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 24.76/9.27
% 24.76/9.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.76/9.27 % ------ Proving...
% 24.76/9.27 % ------ Problem Properties
% 24.76/9.27
% 24.76/9.27 %
% 24.76/9.27 % clauses 175
% 24.76/9.27 % conjectures 1
% 24.76/9.27 % EPR 133
% 24.76/9.27 % Horn 150
% 24.76/9.27 % unary 30
% 24.76/9.27 % binary 43
% 24.76/9.27 % lits 663
% 24.76/9.27 % lits eq 26
% 24.76/9.27 % fd_pure 0
% 24.76/9.27 % fd_pseudo 0
% 24.76/9.27 % fd_cond 0
% 24.76/9.27 % fd_pseudo_cond 7
% 24.76/9.27 % AC symbols 0
% 24.76/9.27
% 24.76/9.27 % ------ Schedule dynamic 5 is on
% 24.76/9.27
% 24.76/9.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.76/9.27
% 24.76/9.27
% 24.76/9.27 % ------
% 24.76/9.27 % Current options:
% 24.76/9.27 % ------
% 24.76/9.27
% 24.76/9.27
% 24.76/9.27 %
% 24.76/9.27
% 24.76/9.27 % ------ Proving...
% 24.76/9.27 %
% 24.76/9.27
% 24.76/9.27 % SZS status Theorem for theBenchmark.p
% 24.76/9.27
% 24.76/9.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.76/9.27
% 24.76/9.27
%------------------------------------------------------------------------------