%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB053+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:29:45 AM UTC 2025
% Result : Theorem 0.60s 0.76s
% Output : Proof 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 78 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 715 ( 0 equ)
% Maximal formula atoms : 40 ( 9 avg)
% Number of connectives : 1296 ( 676 ~; 495 |; 49 &)
% ( 73 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 17 ( 17 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 178 ( 162 !; 0 ?; 178 :)
% Comments :
%------------------------------------------------------------------------------
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(tptp_fun_X_61_type,type,
tptp_fun_X_61: ( $i * $i ) > $i ).
tff(uri_owl_Nothing_type,type,
uri_owl_Nothing: $i ).
tff(uri_ex_c_type,type,
uri_ex_c: $i ).
tff(ic_type,type,
ic: $i > $o ).
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
tff(uri_owl_Class_type,type,
uri_owl_Class: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(1,plain,
^ [C1: $i,C2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [C1: $i,C2: $i] :
refl(( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(4,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
^ [C1: $i,C2: $i] :
rewrite(( ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(6,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,plain,
^ [C1: $i,C2: $i] :
trans(monotonicity(rewrite(( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
<=> ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )),
rewrite(( ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
<=> ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )),
( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
rewrite(( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(9,plain,
( ! [C1: $i,C2: $i] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
^ [C1: $i,C2: $i] :
rewrite(( ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [C1: $i,C2: $i] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) )
<=> ! [C1: $i,C2: $i] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
<=> ! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,plain,
^ [C1: $i,C2: $i] :
rewrite(( ( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( icext(C1,X)
=> icext(C2,X) ) ) )
<=> ( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(14,plain,
( ! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( icext(C1,X)
=> icext(C2,X) ) ) )
<=> ! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( icext(C1,X)
=> icext(C2,X) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).
tff(16,plain,
! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [C1: $i,C2: $i] :
( iext(uri_rdfs_subClassOf,C1,C2)
<=> ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [C1: $i,C2: $i] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C1)
| ~ ic(C2)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [C1: $i,C2: $i] :
( ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ( ic(C1)
& ic(C2)
& ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
& ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[19,9]) ).
tff(21,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) )
| ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) ) ),
inference(modus_ponens,[status(thm)],[20,7]) ).
tff(22,plain,
! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) ),
inference(modus_ponens,[status(thm)],[21,2]) ).
tff(23,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) )
<=> ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) )
<=> ( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ) ),
inference(transitivity,[status(thm)],[25,23]) ).
tff(27,plain,
( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
( ~ ! [C1: $i,C2: $i] :
~ ( ~ ( iext(uri_rdfs_subClassOf,C1,C2)
| ~ ic(C2)
| ~ ic(C1)
| ~ ( ~ icext(C1,tptp_fun_X_61(C2,C1))
| icext(C2,tptp_fun_X_61(C2,C1)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,C1,C2)
| ~ ( ~ ic(C2)
| ~ ic(C1)
| ~ ! [X: $i] :
( ~ icext(C1,X)
| icext(C2,X) ) ) ) )
| ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
~ ( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) ) ),
inference(unit_resolution,[status(thm)],[28,22]) ).
tff(30,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ( ~ ic(uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ! [X: $i] :
( ~ icext(uri_owl_Nothing,X)
| icext(uri_ex_c,X) ) ) )
| iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(31,plain,
( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) ),
inference(unit_resolution,[status(thm)],[30,29]) ).
tff(32,plain,
^ [X: $i] :
refl(( ( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ( icext(uri_owl_Class,X)
<=> ic(X) ) )),
inference(bind,[status(th)],[]) ).
tff(33,plain,
( ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(35,axiom,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_classowl_ext) ).
tff(36,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(modus_ponens,[status(thm)],[35,34]) ).
tff(37,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(skolemize,[status(sab)],[36]) ).
tff(38,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(modus_ponens,[status(thm)],[37,33]) ).
tff(39,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) )
| ( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(40,plain,
( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) ),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,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(42,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)],[41]) ).
tff(43,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(44,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(45,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[45]) ).
tff(47,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[46,42]) ).
tff(48,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_c) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(49,plain,
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_c) ),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,plain,
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> iext(uri_rdf_type,uri_ex_c,uri_owl_Class) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_class_nothing_term) ).
tff(52,plain,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
( ~ ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_c) )
| ~ iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
| icext(uri_owl_Class,uri_ex_c) ),
inference(tautology,[status(thm)],[]) ).
tff(54,plain,
( ~ ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_c) )
| icext(uri_owl_Class,uri_ex_c) ),
inference(unit_resolution,[status(thm)],[53,52]) ).
tff(55,plain,
icext(uri_owl_Class,uri_ex_c),
inference(unit_resolution,[status(thm)],[54,49]) ).
tff(56,plain,
( ~ ( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) )
| ~ icext(uri_owl_Class,uri_ex_c)
| ic(uri_ex_c) ),
inference(tautology,[status(thm)],[]) ).
tff(57,plain,
( ~ ( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) )
| ic(uri_ex_c) ),
inference(unit_resolution,[status(thm)],[56,55]) ).
tff(58,plain,
ic(uri_ex_c),
inference(unit_resolution,[status(thm)],[57,40]) ).
tff(59,plain,
( ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
<=> ~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_nothing_term) ).
tff(61,plain,
~ iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( ic(uri_owl_Nothing)
<=> ic(uri_owl_Nothing) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,axiom,
ic(uri_owl_Nothing),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_type) ).
tff(64,plain,
ic(uri_owl_Nothing),
inference(modus_ponens,[status(thm)],[63,62]) ).
tff(65,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(66,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_owl_Nothing,uri_ex_c)
| ~ ic(uri_owl_Nothing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) )
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ) ),
inference(unit_resolution,[status(thm)],[65,64,61]) ).
tff(67,plain,
~ ( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ),
inference(unit_resolution,[status(thm)],[66,58,31]) ).
tff(68,plain,
( ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_ex_c,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing))
| icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ),
inference(tautology,[status(thm)],[]) ).
tff(69,plain,
icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)),
inference(unit_resolution,[status(thm)],[68,67]) ).
tff(70,plain,
^ [X: $i] :
refl(( ~ icext(uri_owl_Nothing,X)
<=> ~ icext(uri_owl_Nothing,X) )),
inference(bind,[status(th)],[]) ).
tff(71,plain,
( ! [X: $i] : ~ icext(uri_owl_Nothing,X)
<=> ! [X: $i] : ~ icext(uri_owl_Nothing,X) ),
inference(quant_intro,[status(thm)],[70]) ).
tff(72,plain,
( ! [X: $i] : ~ icext(uri_owl_Nothing,X)
<=> ! [X: $i] : ~ icext(uri_owl_Nothing,X) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,axiom,
! [X: $i] : ~ icext(uri_owl_Nothing,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_ext) ).
tff(74,plain,
! [X: $i] : ~ icext(uri_owl_Nothing,X),
inference(modus_ponens,[status(thm)],[73,72]) ).
tff(75,plain,
! [X: $i] : ~ icext(uri_owl_Nothing,X),
inference(skolemize,[status(sab)],[74]) ).
tff(76,plain,
! [X: $i] : ~ icext(uri_owl_Nothing,X),
inference(modus_ponens,[status(thm)],[75,71]) ).
tff(77,plain,
( ~ ! [X: $i] : ~ icext(uri_owl_Nothing,X)
| ~ icext(uri_owl_Nothing,tptp_fun_X_61(uri_ex_c,uri_owl_Nothing)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(78,plain,
$false,
inference(unit_resolution,[status(thm)],[77,76,69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWB053+1 : TPTP v9.0.0. Released v5.2.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.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 07:55:46 EDT 2025
% 0.19/0.34 % CPUTime :
% 0.60/0.76 % SZS status Theorem
% 0.60/0.76 % SZS output start Proof
% See solution above
% 0.60/0.80 % E exiting
%------------------------------------------------------------------------------