TSTP Solution File: SWB011+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB011+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 : Tue Sep 20 08:31:41 EDT 2022
% Result : Unsatisfiable 0.66s 0.72s
% Output : Proof 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 75 ( 16 unt; 9 typ; 0 def)
% Number of atoms : 596 ( 0 equ)
% Maximal formula atoms : 20 ( 9 avg)
% Number of connectives : 1090 ( 581 ~; 366 |; 83 &)
% ( 60 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 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 : 8 ( 4 >; 4 *; 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 : 148 ( 134 !; 0 ?; 148 :)
% 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_66_type,type,
tptp_fun_X_66: ( $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/Axioms/SWB001+0.ax',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(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(27,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) ) ) ),
inference(quant_intro,[status(thm)],[26]) ).
tff(28,plain,
^ [C1: $i,C2: $i] :
refl(
( ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(29,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[28]) ).
tff(30,plain,
^ [C1: $i,C2: $i] :
rewrite(
( ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(31,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) ) )),
trans(
monotonicity(
rewrite(
( ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) )
<=> ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )),
( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )),
rewrite(
( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )),
( ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) )
<=> ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ) )),
rewrite(
( ( ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
& ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(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_66(C2,C1))
& icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(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_66(C2,C1))
& icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(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/Axioms/SWB001+0.ax',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_66(C2,C1))
& icext(C2,tptp_fun_X_66(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(C2)
| ~ ic(C1)
| ( icext(C1,tptp_fun_X_66(C2,C1))
& icext(C2,tptp_fun_X_66(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[43,36]) ).
tff(45,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[44,34]) ).
tff(46,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) )
| ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[45,32]) ).
tff(47,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,X) ) ) ) ),
inference(modus_ponens,[status(thm)],[46,27]) ).
tff(48,plain,
( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_owl_disjointWith,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_66(C2,C1))
| ~ icext(C2,tptp_fun_X_66(C2,C1)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C2,X)
| ~ icext(C1,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_66(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_66(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(49,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_66(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_66(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ) ),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,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_66(uri_owl_ObjectProperty,uri_owl_Class))
| ~ icext(uri_owl_ObjectProperty,tptp_fun_X_66(uri_owl_ObjectProperty,uri_owl_Class)) ) )
| ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) )
| ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(51,plain,
( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ),
inference(unit_resolution,[status(thm)],[50,49]) ).
tff(52,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(53,plain,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
inference(and_elim,[status(thm)],[20]) ).
tff(54,plain,
iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
( ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) )
| ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(56,plain,
( ~ ( ~ iext(uri_owl_disjointWith,uri_owl_Class,uri_owl_ObjectProperty)
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) )
| ~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ) ),
inference(unit_resolution,[status(thm)],[55,54]) ).
tff(57,plain,
~ ( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ),
inference(unit_resolution,[status(thm)],[56,51]) ).
tff(58,plain,
( ~ ic(uri_owl_ObjectProperty)
| ~ ic(uri_owl_Class)
| ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ) ),
inference(tautology,[status(thm)],]) ).
tff(59,plain,
! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) ),
inference(unit_resolution,[status(thm)],[58,57]) ).
tff(60,plain,
( ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) )
<=> ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(rewrite,[status(thm)],]) ).
tff(61,plain,
( ( ~ icext(uri_owl_ObjectProperty,uri_ex_x)
| ~ icext(uri_owl_Class,uri_ex_x) )
<=> ( ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(rewrite,[status(thm)],]) ).
tff(62,plain,
( ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_ObjectProperty,uri_ex_x)
| ~ icext(uri_owl_Class,uri_ex_x) )
<=> ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(monotonicity,[status(thm)],[61]) ).
tff(63,plain,
( ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_ObjectProperty,uri_ex_x)
| ~ icext(uri_owl_Class,uri_ex_x) )
<=> ( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ) ),
inference(transitivity,[status(thm)],[62,60]) ).
tff(64,plain,
( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_ObjectProperty,uri_ex_x)
| ~ icext(uri_owl_Class,uri_ex_x) ),
inference(quant_inst,[status(thm)],]) ).
tff(65,plain,
( ~ ! [X: $i] :
( ~ icext(uri_owl_ObjectProperty,X)
| ~ icext(uri_owl_Class,X) )
| ~ icext(uri_owl_Class,uri_ex_x)
| ~ icext(uri_owl_ObjectProperty,uri_ex_x) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
$false,
inference(unit_resolution,[status(thm)],[65,59,25,16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWB011+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Sep 3 19:31:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.66/0.72 % SZS status Unsatisfiable
% 0.66/0.72 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------