%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB083+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:29:49 AM UTC 2025
% Result : Theorem 0.56s 0.71s
% Output : Proof 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 32
% Syntax : Number of formulae : 78 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 676 ( 0 equ)
% Maximal formula atoms : 32 ( 8 avg)
% Number of connectives : 1035 ( 491 ~; 395 |; 51 &)
% ( 83 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 54 ( 54 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-3 aty)
% Number of variables : 309 ( 281 !; 0 ?; 309 :)
% Comments :
%------------------------------------------------------------------------------
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(tptp_fun_Y_11_type,type,
tptp_fun_Y_11: ( $i * $i * $i ) > $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(uri_ex_c_type,type,
uri_ex_c: $i ).
tff(uri_ex_w_type,type,
uri_ex_w: $i ).
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_ex_z_type,type,
uri_ex_z: $i ).
tff(uri_owl_onProperty_type,type,
uri_owl_onProperty: $i ).
tff(uri_owl_allValuesFrom_type,type,
uri_owl_allValuesFrom: $i ).
tff(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
tff(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(1,plain,
( iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
<=> iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
( iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_owl_Thing) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_allvalues_inst_subj) ).
tff(3,plain,
( iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c) ),
inference(and_elim,[status(thm)],[2]) ).
tff(4,plain,
( iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
inference(and_elim,[status(thm)],[3]) ).
tff(5,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(and_elim,[status(thm)],[4]) ).
tff(6,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
( iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
<=> iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c),
inference(and_elim,[status(thm)],[4]) ).
tff(9,plain,
iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
^ [Z: $i,P: $i,C: $i] :
refl(( ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(11,plain,
( ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
inference(quant_intro,[status(thm)],[10]) ).
tff(12,plain,
^ [Z: $i,P: $i,C: $i] :
rewrite(( ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(13,plain,
( ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
inference(quant_intro,[status(thm)],[12]) ).
tff(14,plain,
( ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
inference(transitivity,[status(thm)],[13,11]) ).
tff(15,plain,
^ [Z: $i,P: $i,C: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
<=> ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P) ) )),
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
<=> ~ ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P) ) )),
rewrite(( ~ ~ ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P) ) )),
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P) ) )),
quant_intro(proof_bind(^ [X: $i] :
trans(monotonicity(rewrite(( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
<=> ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) )),
rewrite(( ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) )
<=> ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) )),
( ( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
<=> ( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
rewrite(( ( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
<=> ~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
( ( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
<=> ~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ))),
( ! [X: $i] :
( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) )
<=> ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )),
( ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
rewrite(( ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
( ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(16,plain,
( ! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ) ),
inference(quant_intro,[status(thm)],[15]) ).
tff(17,plain,
( ! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
^ [Z: $i,P: $i,C: $i] :
trans(monotonicity(quant_intro(proof_bind(^ [X: $i] :
rewrite(( ( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) )
<=> ( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ))),
( ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) )
<=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) )),
( ( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) ) )
<=> ( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ) )),
rewrite(( ( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) )
<=> ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ) )),
( ( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) ) )
<=> ( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ) )),
inference(bind,[status(th)],[]) ).
tff(19,plain,
( ! [Z: $i,P: $i,C: $i] :
( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) ) )
<=> ! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ) ),
inference(quant_intro,[status(thm)],[18]) ).
tff(20,axiom,
! [Z: $i,P: $i,C: $i] :
( ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
=> ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( iext(P,X,Y)
=> icext(C,Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_restrict_allvaluesfrom) ).
tff(21,plain,
! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,plain,
! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( icext(Z,X)
<=> ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) ) ),
inference(modus_ponens,[status(thm)],[21,17]) ).
tff(23,plain,
! [Z: $i,P: $i,C: $i] :
( ~ ( iext(uri_owl_allValuesFrom,Z,C)
& iext(uri_owl_onProperty,Z,P) )
| ! [X: $i] :
( ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
& ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
inference(skolemize,[status(sab)],[22]) ).
tff(24,plain,
! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
inference(modus_ponens,[status(thm)],[23,16]) ).
tff(25,plain,
! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) ),
inference(modus_ponens,[status(thm)],[24,14]) ).
tff(26,plain,
( ( ~ ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
| ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) ) )
<=> ( ~ ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
| ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(27,plain,
( ~ ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
| ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
( ~ ! [Z: $i,P: $i,C: $i] :
( ~ iext(uri_owl_allValuesFrom,Z,C)
| ~ iext(uri_owl_onProperty,Z,P)
| ! [X: $i] :
~ ( ~ ( ~ icext(Z,X)
| ! [Y: $i] :
( ~ iext(P,X,Y)
| icext(C,Y) ) )
| ~ ( icext(Z,X)
| ~ ( ~ iext(P,X,tptp_fun_Y_11(X,C,P))
| icext(C,tptp_fun_Y_11(X,C,P)) ) ) ) )
| ~ iext(uri_owl_allValuesFrom,uri_ex_z,uri_ex_c)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) ) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) ),
inference(unit_resolution,[status(thm)],[28,25,9,6]) ).
tff(30,plain,
( ~ ! [X: $i] :
~ ( ~ ( ~ icext(uri_ex_z,X)
| ! [Y: $i] :
( ~ iext(uri_ex_p,X,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,X)
| ~ ( ~ iext(uri_ex_p,X,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(X,uri_ex_c,uri_ex_p)) ) ) )
| ~ ( ~ ( ~ icext(uri_ex_z,uri_ex_w)
| ! [Y: $i] :
( ~ iext(uri_ex_p,uri_ex_w,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(31,plain,
~ ( ~ ( ~ icext(uri_ex_z,uri_ex_w)
| ! [Y: $i] :
( ~ iext(uri_ex_p,uri_ex_w,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ) ),
inference(unit_resolution,[status(thm)],[30,29]) ).
tff(32,plain,
( ~ ( ~ icext(uri_ex_z,uri_ex_w)
| ! [Y: $i] :
( ~ iext(uri_ex_p,uri_ex_w,Y)
| icext(uri_ex_c,Y) ) )
| ~ ( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) )
| icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(33,plain,
( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(unit_resolution,[status(thm)],[32,31]) ).
tff(34,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(35,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)],[34]) ).
tff(36,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(37,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(38,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[38]) ).
tff(40,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[39,35]) ).
tff(41,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
<=> icext(uri_ex_z,uri_ex_w) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(42,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
<=> icext(uri_ex_z,uri_ex_w) ),
inference(unit_resolution,[status(thm)],[41,40]) ).
tff(43,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z)
<=> ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,axiom,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_allvalues_inst_subj) ).
tff(45,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
<=> icext(uri_ex_z,uri_ex_w) )
| iext(uri_rdf_type,uri_ex_w,uri_ex_z)
| ~ icext(uri_ex_z,uri_ex_w) ),
inference(tautology,[status(thm)],[]) ).
tff(47,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
<=> icext(uri_ex_z,uri_ex_w) )
| ~ icext(uri_ex_z,uri_ex_w) ),
inference(unit_resolution,[status(thm)],[46,45]) ).
tff(48,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(unit_resolution,[status(thm)],[47,42]) ).
tff(49,plain,
( ~ ( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) )
| icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(tautology,[status(thm)],[]) ).
tff(50,plain,
( ~ ( icext(uri_ex_z,uri_ex_w)
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) )
| ~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(unit_resolution,[status(thm)],[49,48]) ).
tff(51,plain,
~ ( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ),
inference(unit_resolution,[status(thm)],[50,33]) ).
tff(52,plain,
( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ),
inference(tautology,[status(thm)],[]) ).
tff(53,plain,
~ icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)),
inference(unit_resolution,[status(thm)],[52,51]) ).
tff(54,plain,
( ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ),
inference(tautology,[status(thm)],[]) ).
tff(55,plain,
iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)),
inference(unit_resolution,[status(thm)],[54,51]) ).
tff(56,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
<=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c) ),
inference(rewrite,[status(thm)],[]) ).
tff(57,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c),
inference(and_elim,[status(thm)],[3]) ).
tff(58,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c),
inference(modus_ponens,[status(thm)],[57,56]) ).
tff(59,plain,
^ [P: $i,C: $i,X: $i,Y: $i] :
refl(( ( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
<=> ( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) )),
inference(bind,[status(th)],[]) ).
tff(60,plain,
( ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
<=> ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(quant_intro,[status(thm)],[59]) ).
tff(61,plain,
^ [P: $i,C: $i,X: $i,Y: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
<=> ~ ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y) ) )),
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
<=> ~ ~ ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y) ) )),
rewrite(( ~ ~ ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y) )
<=> ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y) ) )),
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
<=> ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y) ) )),
( ( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) )
<=> ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y)
| icext(C,Y) ) )),
rewrite(( ( ~ iext(uri_rdfs_range,P,C)
| ~ iext(P,X,Y)
| icext(C,Y) )
<=> ( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) )),
( ( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) )
<=> ( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) )),
inference(bind,[status(th)],[]) ).
tff(62,plain,
( ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) )
<=> ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ) ),
inference(quant_intro,[status(thm)],[61]) ).
tff(63,plain,
( ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) )
<=> ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,plain,
^ [P: $i,C: $i,X: $i,Y: $i] :
rewrite(( ( ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
=> icext(C,Y) )
<=> ( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(65,plain,
( ! [P: $i,C: $i,X: $i,Y: $i] :
( ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
=> icext(C,Y) )
<=> ! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ) ),
inference(quant_intro,[status(thm)],[64]) ).
tff(66,axiom,
! [P: $i,C: $i,X: $i,Y: $i] :
( ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
=> icext(C,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_range_main) ).
tff(67,plain,
! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ),
inference(modus_ponens,[status(thm)],[67,63]) ).
tff(69,plain,
! [P: $i,C: $i,X: $i,Y: $i] :
( ~ ( iext(uri_rdfs_range,P,C)
& iext(P,X,Y) )
| icext(C,Y) ),
inference(skolemize,[status(sab)],[68]) ).
tff(70,plain,
! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ),
inference(modus_ponens,[status(thm)],[69,62]) ).
tff(71,plain,
! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) ),
inference(modus_ponens,[status(thm)],[70,60]) ).
tff(72,plain,
( ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) )
<=> ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(73,plain,
( ( icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c) )
<=> ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
( ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c) )
<=> ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(monotonicity,[status(thm)],[73]) ).
tff(75,plain,
( ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c) )
<=> ( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ) ),
inference(transitivity,[status(thm)],[74,72]) ).
tff(76,plain,
( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c) ),
inference(quant_inst,[status(thm)],[]) ).
tff(77,plain,
( ~ ! [P: $i,C: $i,X: $i,Y: $i] :
( icext(C,Y)
| ~ iext(P,X,Y)
| ~ iext(uri_rdfs_range,P,C) )
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c)
| icext(uri_ex_c,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p))
| ~ iext(uri_ex_p,uri_ex_w,tptp_fun_Y_11(uri_ex_w,uri_ex_c,uri_ex_p)) ),
inference(modus_ponens,[status(thm)],[76,75]) ).
tff(78,plain,
$false,
inference(unit_resolution,[status(thm)],[77,71,58,55,53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SWB083+1 : TPTP v9.0.0. Released v5.2.0.
% 0.03/0.09 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n014.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 20 07:58:09 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.56/0.71 % SZS status Theorem
% 0.56/0.71 % SZS output start Proof
% See solution above
% 0.56/0.74 % E exiting
%------------------------------------------------------------------------------