TSTP Solution File: SWB049+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB049+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 08:32:07 EDT 2022
% Result : Theorem 0.81s 0.78s
% Output : Proof 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 65
% Syntax : Number of formulae : 140 ( 32 unt; 12 typ; 0 def)
% Number of atoms : 995 ( 0 equ)
% Maximal formula atoms : 20 ( 7 avg)
% Number of connectives : 1649 ( 816 ~; 516 |; 93 &)
% ( 221 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 34 ( 34 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 7 >; 5 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 358 ( 328 !; 0 ?; 358 :)
% Comments :
%------------------------------------------------------------------------------
tff(ir_type,type,
ir: $i > $o ).
tff(tptp_fun_X_118_type,type,
tptp_fun_X_118: $i > $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_owl_topObjectProperty_type,type,
uri_owl_topObjectProperty: $i ).
tff(ip_type,type,
ip: $i > $o ).
tff(uri_owl_equivalentProperty_type,type,
uri_owl_equivalentProperty: $i ).
tff(tptp_fun_Y_68_type,type,
tptp_fun_Y_68: ( $i * $i ) > $i ).
tff(tptp_fun_X_69_type,type,
tptp_fun_X_69: ( $i * $i ) > $i ).
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(uri_owl_ReflexiveProperty_type,type,
uri_owl_ReflexiveProperty: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(1,plain,
^ [X: $i,Y: $i] :
refl(
( ( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
<=> ( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) )
<=> ( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(6,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topobjectproperty_ext) ).
tff(7,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ( ir(X)
& ir(Y) ) ),
inference(skolemize,[status(sab)],[7]) ).
tff(9,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ~ ( ~ ir(tptp_fun_X_118(uri_ex_p))
| ~ ir(tptp_fun_X_118(uri_ex_p)) ) )
<=> ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ~ ( ~ ir(tptp_fun_X_118(uri_ex_p))
| ~ ir(tptp_fun_X_118(uri_ex_p)) ) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) ) ),
inference(monotonicity,[status(thm)],[12]) ).
tff(14,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ~ ( ~ ir(tptp_fun_X_118(uri_ex_p))
| ~ ir(tptp_fun_X_118(uri_ex_p)) ) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) ) ),
inference(transitivity,[status(thm)],[13,11]) ).
tff(15,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ~ ( ~ ir(tptp_fun_X_118(uri_ex_p))
| ~ ir(tptp_fun_X_118(uri_ex_p)) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(16,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_topObjectProperty,X,Y)
<=> ~ ( ~ ir(X)
| ~ ir(Y) ) )
| ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[16,10]) ).
tff(18,plain,
^ [P1: $i,P2: $i] :
rewrite(
( ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ~ ( ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(19,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,plain,
^ [P1: $i,P2: $i] :
refl(
( ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(21,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[20]) ).
tff(22,plain,
^ [P1: $i,P2: $i] :
rewrite(
( ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(23,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[22]) ).
tff(24,plain,
( ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) ),
inference(transitivity,[status(thm)],[23,21]) ).
tff(25,plain,
^ [P1: $i,P2: $i] :
trans(
monotonicity(
rewrite(
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
<=> ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) )),
rewrite(
( ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) )
<=> ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )),
( ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
rewrite(
( ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
( ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(26,plain,
( ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[25]) ).
tff(27,plain,
^ [P1: $i,P2: $i] :
rewrite(
( ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) )
<=> ! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
( ! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
<=> ! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(30,plain,
^ [P1: $i,P2: $i] :
rewrite(
( ( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
<=> ( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(31,plain,
( ! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
<=> ! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[30]) ).
tff(32,axiom,
! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentproperty) ).
tff(33,plain,
! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
! [P1: $i,P2: $i] :
( iext(uri_owl_equivalentProperty,P1,P2)
<=> ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ),
inference(modus_ponens,[status(thm)],[33,29]) ).
tff(35,plain,
! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P1)
| ~ ip(P2)
| ~ ( iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ),
inference(skolemize,[status(sab)],[34]) ).
tff(36,plain,
! [P1: $i,P2: $i] :
( ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ( ip(P1)
& ip(P2)
& ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
& ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[35,28]) ).
tff(37,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[36,26]) ).
tff(38,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) )
| ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) ) ),
inference(modus_ponens,[status(thm)],[37,24]) ).
tff(39,plain,
! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) ),
inference(modus_ponens,[status(thm)],[38,19]) ).
tff(40,plain,
( ~ ! [P1: $i,P2: $i] :
~ ( ~ ( iext(uri_owl_equivalentProperty,P1,P2)
| ~ ip(P2)
| ~ ip(P1)
| ( ~ iext(P1,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1))
<=> iext(P2,tptp_fun_X_69(P2,P1),tptp_fun_Y_68(P2,P1)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,P1,P2)
| ~ ( ~ ip(P2)
| ~ ip(P1)
| ~ ! [X: $i,Y: $i] :
( iext(P1,X,Y)
<=> iext(P2,X,Y) ) ) ) )
| ~ ( ~ ( iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ( ~ iext(uri_ex_p,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(41,plain,
~ ( ~ ( iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ( ~ iext(uri_ex_p,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ) ),
inference(unit_resolution,[status(thm)],[40,39]) ).
tff(42,plain,
( ~ ( iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ( ~ iext(uri_ex_p,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_69(uri_owl_topObjectProperty,uri_ex_p),tptp_fun_Y_68(uri_owl_topObjectProperty,uri_ex_p)) ) )
| ~ ( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(43,plain,
( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ),
inference(unit_resolution,[status(thm)],[42,41]) ).
tff(44,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
<=> iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty) ),
inference(rewrite,[status(thm)],]) ).
tff(45,axiom,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).
tff(46,plain,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
inference(modus_ponens,[status(thm)],[45,44]) ).
tff(47,plain,
( ~ ( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(48,plain,
( ~ ( ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) )
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ) ),
inference(unit_resolution,[status(thm)],[47,46]) ).
tff(49,plain,
~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ),
inference(unit_resolution,[status(thm)],[48,43]) ).
tff(50,plain,
( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) )
| ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ) ),
inference(tautology,[status(thm)],]) ).
tff(51,plain,
! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) ),
inference(unit_resolution,[status(thm)],[50,49]) ).
tff(52,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_ex_p,X,Y)
<=> iext(uri_owl_topObjectProperty,X,Y) )
| ( iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(53,plain,
( iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[52,51]) ).
tff(54,plain,
^ [P: $i] :
rewrite(
( ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ~ ( ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(55,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
~ ( ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) ) ) ),
inference(quant_intro,[status(thm)],[54]) ).
tff(56,plain,
^ [P: $i] :
refl(
( ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
inference(bind,[status(th)],]) ).
tff(57,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) ),
inference(quant_intro,[status(thm)],[56]) ).
tff(58,plain,
^ [P: $i] :
rewrite(
( ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
inference(bind,[status(th)],]) ).
tff(59,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) ),
inference(quant_intro,[status(thm)],[58]) ).
tff(60,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) ),
inference(transitivity,[status(thm)],[59,57]) ).
tff(61,plain,
^ [P: $i] :
trans(
monotonicity(
rewrite(
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
<=> ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) ) )),
rewrite(
( ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) )
<=> ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )),
( ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
rewrite(
( ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
( ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
inference(bind,[status(th)],]) ).
tff(62,plain,
( ! [P: $i] :
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) ),
inference(quant_intro,[status(thm)],[61]) ).
tff(63,plain,
^ [P: $i] :
rewrite(
( ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) )),
inference(bind,[status(th)],]) ).
tff(64,plain,
( ! [P: $i] :
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) )
<=> ! [P: $i] :
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ) ),
inference(quant_intro,[status(thm)],[63]) ).
tff(65,plain,
( ! [P: $i] :
( icext(uri_owl_ReflexiveProperty,P)
<=> ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
<=> ! [P: $i] :
( icext(uri_owl_ReflexiveProperty,P)
<=> ( ip(P)
& ! [X: $i] : iext(P,X,X) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,axiom,
! [P: $i] :
( icext(uri_owl_ReflexiveProperty,P)
<=> ( ip(P)
& ! [X: $i] : iext(P,X,X) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_reflexive) ).
tff(67,plain,
! [P: $i] :
( icext(uri_owl_ReflexiveProperty,P)
<=> ( ip(P)
& ! [X: $i] : iext(P,X,X) ) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
! [P: $i] :
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [P: $i] :
( ( ~ icext(uri_owl_ReflexiveProperty,P)
| ( ip(P)
& ! [X: $i] : iext(P,X,X) ) )
& ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ),
inference(modus_ponens,[status(thm)],[68,64]) ).
tff(70,plain,
! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ),
inference(modus_ponens,[status(thm)],[69,62]) ).
tff(71,plain,
! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) )
| ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) ) ),
inference(modus_ponens,[status(thm)],[70,60]) ).
tff(72,plain,
! [P: $i] :
~ ( ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) ) ),
inference(modus_ponens,[status(thm)],[71,55]) ).
tff(73,plain,
( ~ ! [P: $i] :
~ ( ~ ( icext(uri_owl_ReflexiveProperty,P)
| ~ ip(P)
| ~ iext(P,tptp_fun_X_118(P),tptp_fun_X_118(P)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X: $i] : iext(P,X,X) ) ) )
| ~ ( ~ ( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ( ~ ip(uri_ex_p)
| ~ ! [X: $i] : iext(uri_ex_p,X,X) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(74,plain,
~ ( ~ ( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ( ~ ip(uri_ex_p)
| ~ ! [X: $i] : iext(uri_ex_p,X,X) ) ) ),
inference(unit_resolution,[status(thm)],[73,72]) ).
tff(75,plain,
( ~ ( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| ~ ( ~ icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ( ~ ip(uri_ex_p)
| ~ ! [X: $i] : iext(uri_ex_p,X,X) ) )
| icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(tautology,[status(thm)],]) ).
tff(76,plain,
( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[75,74]) ).
tff(77,plain,
^ [X: $i,Y: $i] :
refl(
( ( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
<=> ( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(78,plain,
( ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
<=> ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) )
<=> ( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ) )),
inference(bind,[status(th)],]) ).
tff(80,plain,
( ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) )
<=> ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ) ),
inference(quant_intro,[status(thm)],[79]) ).
tff(81,plain,
( ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) )
<=> ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(82,plain,
^ [X: $i,Y: $i] :
rewrite(
( ( iext(uri_owl_equivalentProperty,X,Y)
=> ( ip(X)
& ip(Y) ) )
<=> ( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ) )),
inference(bind,[status(th)],]) ).
tff(83,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_equivalentProperty,X,Y)
=> ( ip(X)
& ip(Y) ) )
<=> ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ) ),
inference(quant_intro,[status(thm)],[82]) ).
tff(84,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_equivalentProperty,X,Y)
=> ( ip(X)
& ip(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentproperty_ext) ).
tff(85,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ),
inference(modus_ponens,[status(thm)],[84,83]) ).
tff(86,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ),
inference(modus_ponens,[status(thm)],[85,81]) ).
tff(87,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ( ip(X)
& ip(Y) ) ),
inference(skolemize,[status(sab)],[86]) ).
tff(88,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ),
inference(modus_ponens,[status(thm)],[87,80]) ).
tff(89,plain,
! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) ),
inference(modus_ponens,[status(thm)],[88,78]) ).
tff(90,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(91,plain,
( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(92,plain,
( ~ ! [X: $i,Y: $i] :
( ~ iext(uri_owl_equivalentProperty,X,Y)
| ~ ( ~ ip(Y)
| ~ ip(X) ) )
| ~ iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty)
| ~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p) ) ),
inference(modus_ponens,[status(thm)],[91,90]) ).
tff(93,plain,
~ ( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p) ),
inference(unit_resolution,[status(thm)],[92,89,46]) ).
tff(94,plain,
( ~ ip(uri_owl_topObjectProperty)
| ~ ip(uri_ex_p)
| ip(uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(95,plain,
ip(uri_ex_p),
inference(unit_resolution,[status(thm)],[94,93]) ).
tff(96,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(97,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)],[96]) ).
tff(98,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(99,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(100,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[100]) ).
tff(102,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[101,97]) ).
tff(103,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
<=> icext(uri_owl_ReflexiveProperty,uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(104,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
<=> icext(uri_owl_ReflexiveProperty,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[103,102]) ).
tff(105,plain,
( ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
<=> ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty) ),
inference(rewrite,[status(thm)],]) ).
tff(106,axiom,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).
tff(107,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
<=> icext(uri_owl_ReflexiveProperty,uri_ex_p) )
| iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
| ~ icext(uri_owl_ReflexiveProperty,uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(109,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty)
<=> icext(uri_owl_ReflexiveProperty,uri_ex_p) )
| ~ icext(uri_owl_ReflexiveProperty,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[108,107]) ).
tff(110,plain,
~ icext(uri_owl_ReflexiveProperty,uri_ex_p),
inference(unit_resolution,[status(thm)],[109,104]) ).
tff(111,plain,
( ~ ( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(tautology,[status(thm)],]) ).
tff(112,plain,
( ~ ( icext(uri_owl_ReflexiveProperty,uri_ex_p)
| ~ ip(uri_ex_p)
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| ~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[111,110,95]) ).
tff(113,plain,
~ iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)),
inference(unit_resolution,[status(thm)],[112,76]) ).
tff(114,plain,
( ~ ( iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
| ~ iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(tautology,[status(thm)],]) ).
tff(115,plain,
( ~ ( iext(uri_ex_p,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) )
| ~ iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[114,113]) ).
tff(116,plain,
~ iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p)),
inference(unit_resolution,[status(thm)],[115,53]) ).
tff(117,plain,
( ~ ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) )
| iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
| ~ ir(tptp_fun_X_118(uri_ex_p)) ),
inference(tautology,[status(thm)],]) ).
tff(118,plain,
( ~ ( iext(uri_owl_topObjectProperty,tptp_fun_X_118(uri_ex_p),tptp_fun_X_118(uri_ex_p))
<=> ir(tptp_fun_X_118(uri_ex_p)) )
| ~ ir(tptp_fun_X_118(uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[117,116]) ).
tff(119,plain,
~ ir(tptp_fun_X_118(uri_ex_p)),
inference(unit_resolution,[status(thm)],[118,17]) ).
tff(120,plain,
^ [X: $i] :
refl(
( ir(X)
<=> ir(X) )),
inference(bind,[status(th)],]) ).
tff(121,plain,
( ! [X: $i] : ir(X)
<=> ! [X: $i] : ir(X) ),
inference(quant_intro,[status(thm)],[120]) ).
tff(122,plain,
( ! [X: $i] : ir(X)
<=> ! [X: $i] : ir(X) ),
inference(rewrite,[status(thm)],]) ).
tff(123,axiom,
! [X: $i] : ir(X),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).
tff(124,plain,
! [X: $i] : ir(X),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,plain,
! [X: $i] : ir(X),
inference(skolemize,[status(sab)],[124]) ).
tff(126,plain,
! [X: $i] : ir(X),
inference(modus_ponens,[status(thm)],[125,121]) ).
tff(127,plain,
( ~ ! [X: $i] : ir(X)
| ir(tptp_fun_X_118(uri_ex_p)) ),
inference(quant_inst,[status(thm)],]) ).
tff(128,plain,
$false,
inference(unit_resolution,[status(thm)],[127,126,119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWB049+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n015.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 : Sat Sep 3 20:17:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.81/0.78 % SZS status Theorem
% 0.81/0.78 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------