%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB019+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 : Sat Jun 21 05:29:37 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.36s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 20
% Syntax : Number of formulae : 52 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 700 ( 0 equ)
% Maximal formula atoms : 40 ( 13 avg)
% Number of connectives : 1418 ( 790 ~; 495 |; 95 &)
% ( 38 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 20 ( 20 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 228 ( 216 !; 0 ?; 228 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_skos_altLabel_type,type,
uri_skos_altLabel: $i ).
tff(uri_skos_prefLabel_type,type,
uri_skos_prefLabel: $i ).
tff(ip_type,type,
ip: $i > $o ).
tff(uri_owl_propertyDisjointWith_type,type,
uri_owl_propertyDisjointWith: $i ).
tff(tptp_fun_Y_0_type,type,
tptp_fun_Y_0: ( $i * $i ) > $i ).
tff(tptp_fun_X_1_type,type,
tptp_fun_X_1: ( $i * $i ) > $i ).
tff(uri_rdfs_label_type,type,
uri_rdfs_label: $i ).
tff(uri_rdfs_subPropertyOf_type,type,
uri_rdfs_subPropertyOf: $i ).
tff(uri_owl_AnnotationProperty_type,type,
uri_owl_AnnotationProperty: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(literal_plain_type,type,
literal_plain: $i > $i ).
tff(dat_str_foo_type,type,
dat_str_foo: $i ).
tff(uri_ex_foo_type,type,
uri_ex_foo: $i ).
tff(1,plain,
^ [P1: $i,P2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [P1: $i,P2: $i] :
refl(( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(4,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
^ [P1: $i,P2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,plain,
^ [P1: $i,P2: $i] :
trans(monotonicity(rewrite(( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
<=> ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )),
trans(monotonicity(rewrite(( ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) )
<=> ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )),
( ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
<=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
rewrite(( ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
<=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
( ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
<=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )),
( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
rewrite(( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(9,plain,
( ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
^ [P1: $i,P2: $i] :
rewrite(( ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
<=> ! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
^ [P1: $i,P2: $i] :
rewrite(( ( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
<=> ( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(14,plain,
( ! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
<=> ! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_propertydisjointwith) ).
tff(16,plain,
! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [P1: $i,P2: $i] :
( iext(uri_owl_propertyDisjointWith,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
~ ( iext(P1,X,Y)
& iext(P2,X,Y) ) ) )
& ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ( iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
& iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[19,9]) ).
tff(21,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[20,7]) ).
tff(22,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) ),
inference(modus_ponens,[status(thm)],[21,2]) ).
tff(23,plain,
( ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) )
<=> ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ) ) ) )
<=> ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,plain,
( ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ) ) ) ) )
<=> ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ) ) ) ) )
<=> ( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) ) ),
inference(transitivity,[status(thm)],[25,23]) ).
tff(27,plain,
( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ( ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ip(uri_skos_prefLabel)
| ~ ip(uri_skos_altLabel)
| ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( ~ iext(P1,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1))
| ~ iext(P2,tptp_fun_X_1(P2,P1),tptp_fun_Y_0(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,P1,P2)
| ~ ( ~ ip(P1)
| ~ ip(P2)
| ~ ! [X: $i,Y: $i] :
( ~ iext(P1,X,Y)
| ~ iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
~ ( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ) ),
inference(unit_resolution,[status(thm)],[28,22]) ).
tff(30,plain,
( ~ ( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ~ ( ~ iext(uri_skos_altLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel))
| ~ iext(uri_skos_prefLabel,tptp_fun_X_1(uri_skos_altLabel,uri_skos_prefLabel),tptp_fun_Y_0(uri_skos_altLabel,uri_skos_prefLabel)) ) )
| ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) )
| ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ),
inference(tautology,[status(thm)],[]) ).
tff(31,plain,
( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ),
inference(unit_resolution,[status(thm)],[30,29]) ).
tff(32,plain,
( iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
<=> iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,axiom,
( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
& iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
& iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
& iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
& iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_019_Disjoint_Annotation_Properties) ).
tff(34,plain,
( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
& iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
& iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
& iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
inference(and_elim,[status(thm)],[33]) ).
tff(35,plain,
( iext(uri_rdf_type,uri_skos_prefLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_prefLabel,uri_rdfs_label)
& iext(uri_rdf_type,uri_skos_altLabel,uri_owl_AnnotationProperty)
& iext(uri_rdfs_subPropertyOf,uri_skos_altLabel,uri_rdfs_label)
& iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel) ),
inference(and_elim,[status(thm)],[34]) ).
tff(36,plain,
iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
inference(and_elim,[status(thm)],[35]) ).
tff(37,plain,
iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel),
inference(modus_ponens,[status(thm)],[36,32]) ).
tff(38,plain,
( ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) )
| ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ),
inference(tautology,[status(thm)],[]) ).
tff(39,plain,
( ~ ( ~ iext(uri_owl_propertyDisjointWith,uri_skos_prefLabel,uri_skos_altLabel)
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) )
| ~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ) ),
inference(unit_resolution,[status(thm)],[38,37]) ).
tff(40,plain,
~ ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel) ),
inference(unit_resolution,[status(thm)],[39,31]) ).
tff(41,plain,
( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ ip(uri_skos_altLabel)
| ~ ip(uri_skos_prefLabel)
| ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ) ),
inference(tautology,[status(thm)],[]) ).
tff(42,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) ),
inference(unit_resolution,[status(thm)],[41,40]) ).
tff(43,plain,
( iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo))
<=> iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
inference(and_elim,[status(thm)],[33]) ).
tff(45,plain,
iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
<=> iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
inference(and_elim,[status(thm)],[34]) ).
tff(48,plain,
iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo)),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
| ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
| ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
| ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(51,plain,
( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_skos_prefLabel,X,Y)
| ~ iext(uri_skos_altLabel,X,Y) )
| ~ iext(uri_skos_prefLabel,uri_ex_foo,literal_plain(dat_str_foo))
| ~ iext(uri_skos_altLabel,uri_ex_foo,literal_plain(dat_str_foo)) ),
inference(modus_ponens,[status(thm)],[50,49]) ).
tff(52,plain,
$false,
inference(unit_resolution,[status(thm)],[51,48,45,42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB019+2 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 07:47:33 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.19/0.36 % SZS status Unsatisfiable
% 0.19/0.36 % SZS output start Proof
% See solution above
% 0.19/0.38 % E exiting
%------------------------------------------------------------------------------