TSTP Solution File: SWB008+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 20 08:31:38 EDT 2022
% Result : Theorem 1.01s 0.90s
% Output : Proof 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 92 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 647 ( 135 equ)
% Maximal formula atoms : 20 ( 8 avg)
% Number of connectives : 1074 ( 526 ~; 404 |; 67 &)
% ( 74 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 22 ( 22 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 7 >; 3 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 263 ( 253 !; 0 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_foaf_mbox_sha1sum_type,type,
uri_foaf_mbox_sha1sum: $i ).
tff(ip_type,type,
ip: $i > $o ).
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(uri_owl_InverseFunctionalProperty_type,type,
uri_owl_InverseFunctionalProperty: $i ).
tff(tptp_fun_Y_114_type,type,
tptp_fun_Y_114: $i > $i ).
tff(tptp_fun_X2_115_type,type,
tptp_fun_X2_115: $i > $i ).
tff(tptp_fun_X1_116_type,type,
tptp_fun_X1_116: $i > $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(uri_owl_DatatypeProperty_type,type,
uri_owl_DatatypeProperty: $i ).
tff(literal_plain_type,type,
literal_plain: $i > $i ).
tff(dat_str_xyz_type,type,
dat_str_xyz: $i ).
tff(uri_ex_bob_type,type,
uri_ex_bob: $i ).
tff(uri_ex_robert_type,type,
uri_ex_robert: $i ).
tff(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
tff(1,plain,
^ [P: $i] :
rewrite(
( ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ! [P: $i] :
~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) ) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
^ [P: $i] :
refl(
( ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
^ [P: $i] :
rewrite(
( ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(6,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) ),
inference(quant_intro,[status(thm)],[5]) ).
tff(7,plain,
( ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,plain,
^ [P: $i] :
trans(
monotonicity(
rewrite(
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
<=> ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) ) )),
trans(
monotonicity(
rewrite(
( ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) )
<=> ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )),
( ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) )
<=> ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )),
rewrite(
( ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )
<=> ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )),
( ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) )
<=> ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )),
( ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) )
<=> ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) )),
rewrite(
( ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) )),
( ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) )
<=> ~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(9,plain,
( ! [P: $i] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) )
<=> ! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
^ [P: $i] :
rewrite(
( ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) )
<=> ( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(11,plain,
( ! [P: $i] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) )
<=> ! [P: $i] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
( ! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
<=> ! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
^ [P: $i] :
rewrite(
( ( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> ( X1 = X2 ) ) ) )
<=> ( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> ( X1 = X2 ) ) ) )
<=> ! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,axiom,
! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ( iext(P,X1,Y)
& iext(P,X2,Y) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_inversefunctional) ).
tff(16,plain,
! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
! [P: $i] :
( icext(uri_owl_InverseFunctionalProperty,P)
<=> ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) ),
inference(modus_ponens,[status(thm)],[16,12]) ).
tff(18,plain,
! [P: $i] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) ),
inference(skolemize,[status(sab)],[17]) ).
tff(19,plain,
! [P: $i] :
( ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ( ip(P)
& ! [X1: $i,X2: $i,Y: $i] :
( ~ ( iext(P,X1,Y)
& iext(P,X2,Y) )
| ( X1 = X2 ) ) ) )
& ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ~ ( iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
& iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) )
| ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) ) ) ) ),
inference(modus_ponens,[status(thm)],[18,11]) ).
tff(20,plain,
! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ),
inference(modus_ponens,[status(thm)],[19,9]) ).
tff(21,plain,
! [P: $i] :
~ ( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) )
| ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) ) ),
inference(modus_ponens,[status(thm)],[20,7]) ).
tff(22,plain,
! [P: $i] :
~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) ) ),
inference(modus_ponens,[status(thm)],[21,2]) ).
tff(23,plain,
( ~ ! [P: $i] :
~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,P)
| ~ ip(P)
| ~ ( ( tptp_fun_X1_116(P) = tptp_fun_X2_115(P) )
| ~ iext(P,tptp_fun_X1_116(P),tptp_fun_Y_114(P))
| ~ iext(P,tptp_fun_X2_115(P),tptp_fun_Y_114(P)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,P)
| ~ ( ~ ip(P)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(P,X2,Y)
| ~ iext(P,X1,Y) ) ) ) )
| ~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ip(uri_foaf_mbox_sha1sum)
| ~ ( ( tptp_fun_X1_116(uri_foaf_mbox_sha1sum) = tptp_fun_X2_115(uri_foaf_mbox_sha1sum) )
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X1_116(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum))
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X2_115(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(24,plain,
~ ( ~ ( icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ip(uri_foaf_mbox_sha1sum)
| ~ ( ( tptp_fun_X1_116(uri_foaf_mbox_sha1sum) = tptp_fun_X2_115(uri_foaf_mbox_sha1sum) )
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X1_116(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum))
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X2_115(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ ( icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ip(uri_foaf_mbox_sha1sum)
| ~ ( ( tptp_fun_X1_116(uri_foaf_mbox_sha1sum) = tptp_fun_X2_115(uri_foaf_mbox_sha1sum) )
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X1_116(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum))
| ~ iext(uri_foaf_mbox_sha1sum,tptp_fun_X2_115(uri_foaf_mbox_sha1sum),tptp_fun_Y_114(uri_foaf_mbox_sha1sum)) ) )
| ~ ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(26,plain,
( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ),
inference(unit_resolution,[status(thm)],[25,24]) ).
tff(27,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(28,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)],[27]) ).
tff(29,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(30,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(31,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[31]) ).
tff(33,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[32,28]) ).
tff(34,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
<=> icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(35,plain,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
<=> icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(unit_resolution,[status(thm)],[34,33]) ).
tff(36,plain,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
<=> iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty) ),
inference(rewrite,[status(thm)],]) ).
tff(37,axiom,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
tff(38,plain,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) ),
inference(and_elim,[status(thm)],[37]) ).
tff(39,plain,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty) ),
inference(and_elim,[status(thm)],[38]) ).
tff(40,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(and_elim,[status(thm)],[39]) ).
tff(41,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(modus_ponens,[status(thm)],[40,36]) ).
tff(42,plain,
( ~ ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
<=> icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) )
| ~ iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
| icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(tautology,[status(thm)],]) ).
tff(43,plain,
( ~ ( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
<=> icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) )
| icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(unit_resolution,[status(thm)],[42,41]) ).
tff(44,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(unit_resolution,[status(thm)],[43,35]) ).
tff(45,plain,
( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ),
inference(tautology,[status(thm)],]) ).
tff(46,plain,
( ~ ( ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum)
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) )
| ~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ) ),
inference(unit_resolution,[status(thm)],[45,44]) ).
tff(47,plain,
~ ( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ),
inference(unit_resolution,[status(thm)],[46,26]) ).
tff(48,plain,
( ~ ip(uri_foaf_mbox_sha1sum)
| ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ) ),
inference(tautology,[status(thm)],]) ).
tff(49,plain,
! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) ),
inference(unit_resolution,[status(thm)],[48,47]) ).
tff(50,plain,
^ [X: $i,Y: $i] :
refl(
( ( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
<=> ( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ) )),
inference(bind,[status(th)],]) ).
tff(51,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ) ),
inference(quant_intro,[status(thm)],[50]) ).
tff(52,plain,
( ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
<=> ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(53,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).
tff(54,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[53,52]) ).
tff(55,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(skolemize,[status(sab)],[54]) ).
tff(56,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[55,51]) ).
tff(57,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| ( iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
<=> ( uri_ex_bob = uri_ex_robert ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(58,plain,
( iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
<=> ( uri_ex_bob = uri_ex_robert ) ),
inference(unit_resolution,[status(thm)],[57,56]) ).
tff(59,plain,
( ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
<=> ~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert) ),
inference(rewrite,[status(thm)],]) ).
tff(60,axiom,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
tff(61,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( ~ ( iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
<=> ( uri_ex_bob = uri_ex_robert ) )
| iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
| ( uri_ex_bob != uri_ex_robert ) ),
inference(tautology,[status(thm)],]) ).
tff(63,plain,
( ~ ( iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert)
<=> ( uri_ex_bob = uri_ex_robert ) )
| ( uri_ex_bob != uri_ex_robert ) ),
inference(unit_resolution,[status(thm)],[62,61]) ).
tff(64,plain,
uri_ex_bob != uri_ex_robert,
inference(unit_resolution,[status(thm)],[63,58]) ).
tff(65,plain,
( iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
<=> iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
inference(rewrite,[status(thm)],]) ).
tff(66,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(and_elim,[status(thm)],[37]) ).
tff(67,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
( iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
<=> iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) ),
inference(rewrite,[status(thm)],]) ).
tff(69,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(and_elim,[status(thm)],[38]) ).
tff(70,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
( ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) )
<=> ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(72,plain,
( ( ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) )
<=> ( ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ) ),
inference(rewrite,[status(thm)],]) ).
tff(73,plain,
( ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) )
<=> ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ) ),
inference(monotonicity,[status(thm)],[72]) ).
tff(74,plain,
( ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) )
<=> ( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ) ),
inference(transitivity,[status(thm)],[73,71]) ).
tff(75,plain,
( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)) ),
inference(quant_inst,[status(thm)],]) ).
tff(76,plain,
( ~ ! [X1: $i,X2: $i,Y: $i] :
( ( X1 = X2 )
| ~ iext(uri_foaf_mbox_sha1sum,X2,Y)
| ~ iext(uri_foaf_mbox_sha1sum,X1,Y) )
| ( uri_ex_bob = uri_ex_robert )
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
| ~ iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
$false,
inference(unit_resolution,[status(thm)],[76,70,67,64,49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWB008+1 : TPTP v8.1.0. Released v5.2.0.
% 0.09/0.10 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Sep 3 19:17:03 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.31 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.10/0.31 Usage: tptp [options] [-file:]file
% 0.10/0.31 -h, -? prints this message.
% 0.10/0.31 -smt2 print SMT-LIB2 benchmark.
% 0.10/0.31 -m, -model generate model.
% 0.10/0.31 -p, -proof generate proof.
% 0.10/0.31 -c, -core generate unsat core of named formulas.
% 0.10/0.31 -st, -statistics display statistics.
% 0.10/0.31 -t:timeout set timeout (in second).
% 0.10/0.31 -smt2status display status in smt2 format instead of SZS.
% 0.10/0.31 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.10/0.31 -<param>:<value> configuration parameter and value.
% 0.10/0.31 -o:<output-file> file to place output in.
% 1.01/0.90 % SZS status Theorem
% 1.01/0.90 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------