%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB011+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:29:33 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 68 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 736 ( 0 equ)
% Maximal formula atoms : 40 ( 10 avg)
% Number of connectives : 1445 ( 798 ~; 503 |; 83 &)
% ( 61 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 21 ( 21 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 174 ( 160 !; 0 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(uri_ex_x_type,type,
uri_ex_x: $i ).
tff(uri_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(uri_owl_Class_type,type,
uri_owl_Class: $i ).
tff(uri_owl_disjointWith_type,type,
uri_owl_disjointWith: $i ).
tff(ic_type,type,
ic: $i > $o ).
tff(tptp_fun_X_0_type,type,
tptp_fun_X_0: ( $i * $i ) > $i ).
tff(1,plain,
^ [X: $i,C: $i] :
refl(( ( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
<=> ( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
<=> ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
<=> ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
tff(5,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
<=> iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_011_Entity_Types_as_Classes) ).
tff(12,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty),
inference(modus_ponens,[status(thm)],[12,10]) ).
tff(14,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_x) )
| ~ iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
| icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(tautology,[status(thm)],[]) ).
tff(15,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_x) )
| icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[14,13]) ).
tff(16,plain,
icext(uri_owl_ObjectProperty,uri_ex_x),
inference(unit_resolution,[status(thm)],[15,9]) ).
tff(17,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_x) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(18,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[17,7]) ).
tff(19,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
<=> iext(uri_rdf_type,uri_ex_x,uri_owl_Class) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_x,uri_owl_Class) ),
inference(and_elim,[status(thm)],[11]) ).
tff(21,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
inference(and_elim,[status(thm)],[20]) ).
tff(22,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_Class),
inference(modus_ponens,[status(thm)],[21,19]) ).
tff(23,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_x) )
| ~ iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
| icext(uri_owl_Class,uri_ex_x) ),
inference(tautology,[status(thm)],[]) ).
tff(24,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_x) )
| icext(uri_owl_Class,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
icext(uri_owl_Class,uri_ex_x),
inference(unit_resolution,[status(thm)],[24,18]) ).
tff(26,plain,
^ [C1: $i,C2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(27,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,plain,
^ [C1: $i,C2: $i] :
refl(( ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(29,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
^ [C1: $i,C2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(31,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) ),
inference(transitivity,[status(thm)],[31,29]) ).
tff(33,plain,
^ [C1: $i,C2: $i] :
trans(monotonicity(rewrite(( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
<=> ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )),
trans(monotonicity(rewrite(( ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) )
<=> ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )),
( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )),
rewrite(( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )),
( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )),
( ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
rewrite(( ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
( ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(34,plain,
( ! [C1: $i,C2: $i] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[33]) ).
tff(35,plain,
^ [C1: $i,C2: $i] :
rewrite(( ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(36,plain,
( ! [C1: $i,C2: $i] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,plain,
( ! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
<=> ! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,plain,
^ [C1: $i,C2: $i] :
rewrite(( ( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(39,plain,
( ! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
<=> ! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ) ),
inference(quant_intro,[status(thm)],[38]) ).
tff(40,axiom,
! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_disjointwith) ).
tff(41,plain,
! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
! [C1: $i,C2: $i] :
( iext(uri_owl_disjointWith,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) ),
inference(modus_ponens,[status(thm)],[41,37]) ).
tff(43,plain,
! [C1: $i,C2: $i] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) ),
inference(skolemize,[status(sab)],[42]) ).
tff(44,plain,
! [C1: $i,C2: $i] :
( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
~ ( icext(C1,X)
& icext(C2,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ( icext(C1,tptp_fun_X_0(C2,C1))
& icext(C2,tptp_fun_X_0(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[43,36]) ).
tff(45,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[44,34]) ).
tff(46,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[45,32]) ).
tff(47,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) ),
inference(modus_ponens,[status(thm)],[46,27]) ).
tff(48,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(49,plain,
( ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) )
<=> ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(50,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ) ),
inference(monotonicity,[status(thm)],[49]) ).
tff(51,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ) ),
inference(transitivity,[status(thm)],[50,48]) ).
tff(52,plain,
( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(53,plain,
( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_0(C2,C1))
| ~ icext(C2,tptp_fun_X_0(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C1)
| ~ ic(C2)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| ~ icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[52,51]) ).
tff(54,plain,
~ ( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ) ),
inference(unit_resolution,[status(thm)],[53,47]) ).
tff(55,plain,
( ~ ( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ( ~ icext(uri_owl_Class,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_0(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) )
| ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ),
inference(tautology,[status(thm)],[]) ).
tff(56,plain,
( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ),
inference(unit_resolution,[status(thm)],[55,54]) ).
tff(57,plain,
( iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
<=> iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty) ),
inference(rewrite,[status(thm)],[]) ).
tff(58,plain,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
inference(and_elim,[status(thm)],[20]) ).
tff(59,plain,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,plain,
( ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) )
| ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ),
inference(tautology,[status(thm)],[]) ).
tff(61,plain,
( ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) )
| ~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ) ),
inference(unit_resolution,[status(thm)],[60,59]) ).
tff(62,plain,
~ ( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(unit_resolution,[status(thm)],[61,56]) ).
tff(63,plain,
( ~ ic(uri_owl_Class)
| ~ ic(uri_owl_ObjectProperty)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) )
| ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ) ),
inference(tautology,[status(thm)],[]) ).
tff(64,plain,
! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) ),
inference(unit_resolution,[status(thm)],[63,62]) ).
tff(65,plain,
( ( ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) )
<=> ( ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
( ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(quant_inst,[status(thm)],[]) ).
tff(67,plain,
( ~ ! [X: $i] :
( ~ icext(uri_owl_Class,X)
| ~ icext(uri_owl_ObjectProperty,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
$false,
inference(unit_resolution,[status(thm)],[67,64,25,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB011+2 : TPTP v9.0.0. Released v5.2.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 07:47:24 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.19/0.37 % SZS status Unsatisfiable
% 0.19/0.37 % SZS output start Proof
% See solution above
% 0.19/0.39 % E exiting
%------------------------------------------------------------------------------