%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB074+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:29:47 AM UTC 2025
% Result : Theorem 0.50s 0.70s
% Output : Proof 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 62 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 233 ( 87 ~; 41 |; 11 &)
% ( 94 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 15 ( 15 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; 6 con; 0-0 aty)
% Number of variables : 68 ( 60 !; 0 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
tff(ir_type,type,
ir: $i > $o ).
tff(uri_ex_x_type,type,
uri_ex_x: $i ).
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(uri_rdfs_Literal_type,type,
uri_rdfs_Literal: $i ).
tff(uri_ex_y_type,type,
uri_ex_y: $i ).
tff(lv_type,type,
lv: $i > $o ).
tff(uri_owl_topDataProperty_type,type,
uri_owl_topDataProperty: $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_Thing)
<=> icext(uri_owl_Thing,uri_ex_x) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
<=> iext(uri_rdf_type,uri_ex_x,uri_owl_Thing) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,axiom,
( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
& iext(uri_rdf_type,uri_ex_x,uri_owl_Thing) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_prop_topdataproperty_ext_lo) ).
tff(12,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_Thing),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
iext(uri_rdf_type,uri_ex_x,uri_owl_Thing),
inference(modus_ponens,[status(thm)],[12,10]) ).
tff(14,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_x) )
| ~ iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
| icext(uri_owl_Thing,uri_ex_x) ),
inference(tautology,[status(thm)],[]) ).
tff(15,plain,
( ~ ( iext(uri_rdf_type,uri_ex_x,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_x) )
| icext(uri_owl_Thing,uri_ex_x) ),
inference(unit_resolution,[status(thm)],[14,13]) ).
tff(16,plain,
icext(uri_owl_Thing,uri_ex_x),
inference(unit_resolution,[status(thm)],[15,9]) ).
tff(17,plain,
^ [X: $i,Y: $i] :
refl(( ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) )
<=> ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(18,plain,
( ! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) )
<=> ! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) ),
inference(quant_intro,[status(thm)],[17]) ).
tff(19,plain,
^ [X: $i,Y: $i] :
trans(trans(monotonicity(rewrite(( ( ir(X)
& lv(Y) )
<=> ~ ( ~ ir(X)
| ~ lv(Y) ) )),
( ( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) )
<=> ( iext(uri_owl_topDataProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ lv(Y) ) ) )),
rewrite(( ( iext(uri_owl_topDataProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ lv(Y) ) )
<=> ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) )),
( ( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) )
<=> ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) )),
rewrite(( ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) )
<=> ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) )),
( ( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) )
<=> ~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(20,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) )
<=> ! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ) ),
inference(quant_intro,[status(thm)],[19]) ).
tff(21,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(22,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topdataproperty_ext) ).
tff(23,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) ),
inference(modus_ponens,[status(thm)],[22,21]) ).
tff(24,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topDataProperty,X,Y)
<=> ( ir(X)
& lv(Y) ) ),
inference(skolemize,[status(sab)],[23]) ).
tff(25,plain,
! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ),
inference(modus_ponens,[status(thm)],[24,20]) ).
tff(26,plain,
! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) ),
inference(modus_ponens,[status(thm)],[25,18]) ).
tff(27,plain,
( ~ ! [X: $i,Y: $i] :
~ ( ( ~ ir(X)
| ~ lv(Y) )
<=> iext(uri_owl_topDataProperty,X,Y) )
| ~ ( ( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) )
<=> iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
~ ( ( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) )
<=> iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) ),
inference(unit_resolution,[status(thm)],[27,26]) ).
tff(29,plain,
( ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y)
<=> ~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) ),
inference(rewrite,[status(thm)],[]) ).
tff(30,axiom,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_prop_topdataproperty_ext_lo) ).
tff(31,plain,
~ iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ( ( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) )
<=> iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) )
| ~ ir(uri_ex_x)
| ~ lv(uri_ex_y)
| iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) ),
inference(tautology,[status(thm)],[]) ).
tff(33,plain,
( ( ( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) )
<=> iext(uri_owl_topDataProperty,uri_ex_x,uri_ex_y) )
| ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) ),
inference(unit_resolution,[status(thm)],[32,31]) ).
tff(34,plain,
( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) ),
inference(unit_resolution,[status(thm)],[33,28]) ).
tff(35,plain,
^ [X: $i] :
refl(( ( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) )
<=> ( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) )),
inference(bind,[status(th)],[]) ).
tff(36,plain,
( ! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) )
<=> ! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,plain,
( ! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) )
<=> ! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(38,axiom,
! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_lv_def) ).
tff(39,plain,
! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) ),
inference(modus_ponens,[status(thm)],[40,36]) ).
tff(42,plain,
( ~ ! [X: $i] :
( lv(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Literal) )
| ( lv(uri_ex_y)
<=> iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(43,plain,
( lv(uri_ex_y)
<=> iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
inference(unit_resolution,[status(thm)],[42,41]) ).
tff(44,plain,
( iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal)
<=> iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,plain,
iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
inference(and_elim,[status(thm)],[11]) ).
tff(46,plain,
iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
( ~ ( lv(uri_ex_y)
<=> iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) )
| lv(uri_ex_y)
| ~ iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) ),
inference(tautology,[status(thm)],[]) ).
tff(48,plain,
( ~ ( lv(uri_ex_y)
<=> iext(uri_rdf_type,uri_ex_y,uri_rdfs_Literal) )
| lv(uri_ex_y) ),
inference(unit_resolution,[status(thm)],[47,46]) ).
tff(49,plain,
lv(uri_ex_y),
inference(unit_resolution,[status(thm)],[48,43]) ).
tff(50,plain,
( ~ ( ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) )
| ~ ir(uri_ex_x)
| ~ lv(uri_ex_y) ),
inference(tautology,[status(thm)],[]) ).
tff(51,plain,
~ ir(uri_ex_x),
inference(unit_resolution,[status(thm)],[50,49,34]) ).
tff(52,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_x)
<=> ir(uri_ex_x) )
| ~ icext(uri_owl_Thing,uri_ex_x)
| ir(uri_ex_x) ),
inference(tautology,[status(thm)],[]) ).
tff(53,plain,
~ ( icext(uri_owl_Thing,uri_ex_x)
<=> ir(uri_ex_x) ),
inference(unit_resolution,[status(thm)],[52,51,16]) ).
tff(54,plain,
^ [X: $i] :
refl(( ( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ( icext(uri_owl_Thing,X)
<=> ir(X) ) )),
inference(bind,[status(th)],[]) ).
tff(55,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,axiom,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).
tff(58,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(skolemize,[status(sab)],[58]) ).
tff(60,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[59,55]) ).
tff(61,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
| ( icext(uri_owl_Thing,uri_ex_x)
<=> ir(uri_ex_x) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(62,plain,
$false,
inference(unit_resolution,[status(thm)],[61,60,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWB074+1 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n016.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 07:58:02 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.50/0.70 % SZS status Theorem
% 0.50/0.70 % SZS output start Proof
% See solution above
% 0.57/0.73 % E exiting
%------------------------------------------------------------------------------