%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB054+1 : 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 05:29:45 AM UTC 2025
% Result : Theorem 0.59s 0.77s
% Output : Proof 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 58
% Syntax : Number of formulae : 134 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 1043 ( 0 equ)
% Maximal formula atoms : 40 ( 7 avg)
% Number of connectives : 1803 ( 926 ~; 671 |; 69 &)
% ( 119 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 32 ( 32 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 357 ( 329 !; 0 ?; 357 :)
% Comments :
%------------------------------------------------------------------------------
tff(ir_type,type,
ir: $i > $o ).
tff(tptp_fun_X_61_type,type,
tptp_fun_X_61: ( $i * $i ) > $i ).
tff(uri_ex_c_type,type,
uri_ex_c: $i ).
tff(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
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(ip_type,type,
ip: $i > $o ).
tff(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
tff(uri_rdf_first_type,type,
uri_rdf_first: $i ).
tff(1,plain,
^ [X: $i] :
refl(( ( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ( icext(uri_owl_Thing,X)
<=> ir(X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,axiom,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).
tff(5,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
| ( icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
<=> ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(9,plain,
( icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
<=> ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,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(11,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)],[10]) ).
tff(12,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(13,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)],[12]) ).
tff(14,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(15,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)],[14]) ).
tff(16,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)],[15,13]) ).
tff(17,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(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(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)],[17]) ).
tff(19,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(20,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)],[19]) ).
tff(21,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(22,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(23,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)],[22]) ).
tff(24,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/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).
tff(25,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)],[24,23]) ).
tff(26,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)],[25,21]) ).
tff(27,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)],[26]) ).
tff(28,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)],[27,20]) ).
tff(29,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)],[28,18]) ).
tff(30,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)],[29,16]) ).
tff(31,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)],[30,11]) ).
tff(32,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_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) )
<=> ( ~ ! [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_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(33,plain,
( ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) ) ) ) )
<=> ~ ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,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_ex_c,uri_owl_Thing)
| ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,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_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) ) ),
inference(monotonicity,[status(thm)],[33]) ).
tff(35,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_ex_c,uri_owl_Thing)
| ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,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_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) ) ),
inference(transitivity,[status(thm)],[34,32]) ).
tff(36,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_ex_c,uri_owl_Thing)
| ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ic(uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) ) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(37,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_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ) ),
inference(modus_ponens,[status(thm)],[36,35]) ).
tff(38,plain,
~ ( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) ) ),
inference(unit_resolution,[status(thm)],[37,31]) ).
tff(39,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ( ~ ! [X: $i] :
( ~ icext(uri_ex_c,X)
| icext(uri_owl_Thing,X) )
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing) ) )
| iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(40,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(unit_resolution,[status(thm)],[39,38]) ).
tff(41,plain,
^ [X: $i] :
refl(( ( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ( icext(uri_owl_Class,X)
<=> ic(X) ) )),
inference(bind,[status(th)],[]) ).
tff(42,plain,
( ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ) ),
inference(quant_intro,[status(thm)],[41]) ).
tff(43,plain,
( ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) )
<=> ! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_classowl_ext) ).
tff(45,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(skolemize,[status(sab)],[45]) ).
tff(47,plain,
! [X: $i] :
( icext(uri_owl_Class,X)
<=> ic(X) ),
inference(modus_ponens,[status(thm)],[46,42]) ).
tff(48,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(49,plain,
( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) ),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,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(51,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)],[50]) ).
tff(52,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(53,axiom,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).
tff(54,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[54]) ).
tff(56,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,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(58,plain,
( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
<=> icext(uri_owl_Class,uri_ex_c) ),
inference(unit_resolution,[status(thm)],[57,56]) ).
tff(59,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(60,axiom,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_class_thing_term) ).
tff(61,plain,
iext(uri_rdf_type,uri_ex_c,uri_owl_Class),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,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(63,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)],[62,61]) ).
tff(64,plain,
icext(uri_owl_Class,uri_ex_c),
inference(unit_resolution,[status(thm)],[63,58]) ).
tff(65,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(66,plain,
( ~ ( icext(uri_owl_Class,uri_ex_c)
<=> ic(uri_ex_c) )
| ic(uri_ex_c) ),
inference(unit_resolution,[status(thm)],[65,64]) ).
tff(67,plain,
ic(uri_ex_c),
inference(unit_resolution,[status(thm)],[66,49]) ).
tff(68,plain,
( ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
<=> ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,axiom,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_class_thing_term) ).
tff(70,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
( ic(uri_owl_Thing)
<=> ic(uri_owl_Thing) ),
inference(rewrite,[status(thm)],[]) ).
tff(72,axiom,
ic(uri_owl_Thing),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_thing_type) ).
tff(73,plain,
ic(uri_owl_Thing),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(75,plain,
( ~ ( iext(uri_rdfs_subClassOf,uri_ex_c,uri_owl_Thing)
| ~ ic(uri_ex_c)
| ~ ic(uri_owl_Thing)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
| ~ ic(uri_ex_c)
| ~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(unit_resolution,[status(thm)],[74,73,70]) ).
tff(76,plain,
~ ( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(unit_resolution,[status(thm)],[75,67,40]) ).
tff(77,plain,
( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(tautology,[status(thm)],[]) ).
tff(78,plain,
~ icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)),
inference(unit_resolution,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ ( icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
<=> ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) )
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(tautology,[status(thm)],[]) ).
tff(80,plain,
( ~ ( icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
<=> ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) )
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(unit_resolution,[status(thm)],[79,78]) ).
tff(81,plain,
~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)),
inference(unit_resolution,[status(thm)],[80,9]) ).
tff(82,plain,
( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(tautology,[status(thm)],[]) ).
tff(83,plain,
( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(unit_resolution,[status(thm)],[82,81]) ).
tff(84,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
<=> icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(85,plain,
( iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
<=> icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(unit_resolution,[status(thm)],[84,56]) ).
tff(86,plain,
( ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_owl_Thing,tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(tautology,[status(thm)],[]) ).
tff(87,plain,
icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)),
inference(unit_resolution,[status(thm)],[86,76]) ).
tff(88,plain,
( ~ ( iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
<=> icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) )
| iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ),
inference(tautology,[status(thm)],[]) ).
tff(89,plain,
( ~ ( iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
<=> icext(uri_ex_c,tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) )
| iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c) ),
inference(unit_resolution,[status(thm)],[88,87]) ).
tff(90,plain,
iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c),
inference(unit_resolution,[status(thm)],[89,85]) ).
tff(91,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property)
<=> iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,axiom,
iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdf_collection_first_type) ).
tff(93,plain,
iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
^ [S: $i,P: $i,O: $i] :
refl(( ( ip(P)
| ~ iext(P,S,O) )
<=> ( ip(P)
| ~ iext(P,S,O) ) )),
inference(bind,[status(th)],[]) ).
tff(95,plain,
( ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(quant_intro,[status(thm)],[94]) ).
tff(96,plain,
( ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,plain,
^ [S: $i,P: $i,O: $i] :
rewrite(( ( iext(P,S,O)
=> ip(P) )
<=> ( ip(P)
| ~ iext(P,S,O) ) )),
inference(bind,[status(th)],[]) ).
tff(98,plain,
( ! [S: $i,P: $i,O: $i] :
( iext(P,S,O)
=> ip(P) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(quant_intro,[status(thm)],[97]) ).
tff(99,axiom,
! [S: $i,P: $i,O: $i] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).
tff(100,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[100,96]) ).
tff(102,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(skolemize,[status(sab)],[101]) ).
tff(103,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[102,95]) ).
tff(104,plain,
( ( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_rdf_type)
| ~ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) )
<=> ( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_rdf_type)
| ~ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(105,plain,
( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_rdf_type)
| ~ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) ),
inference(quant_inst,[status(thm)],[]) ).
tff(106,plain,
( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_rdf_type)
| ~ iext(uri_rdf_type,uri_rdf_first,uri_rdf_Property) ),
inference(modus_ponens,[status(thm)],[105,104]) ).
tff(107,plain,
ip(uri_rdf_type),
inference(unit_resolution,[status(thm)],[106,103,93]) ).
tff(108,plain,
^ [X: $i] :
refl(( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(109,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[108]) ).
tff(110,plain,
^ [X: $i] :
rewrite(( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(111,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[110]) ).
tff(112,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(transitivity,[status(thm)],[111,109]) ).
tff(113,plain,
^ [X: $i] :
rewrite(( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(114,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[113]) ).
tff(115,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(116,plain,
^ [X: $i] :
trans(monotonicity(quant_intro(proof_bind(^ [Y: $i,Z: $i] :
rewrite(( ( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) )
<=> ( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ))),
( ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) )
<=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )),
( ( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ( ip(X)
=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
rewrite(( ( ip(X)
=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
( ( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(117,plain,
( ! [X: $i] :
( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[116]) ).
tff(118,axiom,
! [X: $i] :
( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_ip_cond_inst) ).
tff(119,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[118,117]) ).
tff(120,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[119,115]) ).
tff(121,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(skolemize,[status(sab)],[120]) ).
tff(122,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[121,114]) ).
tff(123,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[122,112]) ).
tff(124,plain,
( ( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_rdf_type)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_rdf_type)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(125,plain,
( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_rdf_type)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(126,plain,
( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_rdf_type)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[125,124]) ).
tff(127,plain,
! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ),
inference(unit_resolution,[status(thm)],[126,123,107]) ).
tff(128,plain,
( ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) )
<=> ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(129,plain,
( ( ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ ir(uri_ex_c) ) )
<=> ( ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(130,plain,
( ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ ir(uri_ex_c) ) )
<=> ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ) ),
inference(monotonicity,[status(thm)],[129]) ).
tff(131,plain,
( ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ ir(uri_ex_c) ) )
<=> ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ) ),
inference(transitivity,[status(thm)],[130,128]) ).
tff(132,plain,
( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c))
| ~ ir(uri_ex_c) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(133,plain,
( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_rdf_type,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_rdf_type,tptp_fun_X_61(uri_owl_Thing,uri_ex_c),uri_ex_c)
| ~ ( ~ ir(uri_ex_c)
| ~ ir(tptp_fun_X_61(uri_owl_Thing,uri_ex_c)) ) ),
inference(modus_ponens,[status(thm)],[132,131]) ).
tff(134,plain,
$false,
inference(unit_resolution,[status(thm)],[133,127,90,83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWB054+1 : TPTP v9.0.0. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 07:54:24 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.59/0.77 % SZS status Theorem
% 0.59/0.77 % SZS output start Proof
% See solution above
% 0.59/0.80 % E exiting
%------------------------------------------------------------------------------