TSTP Solution File: SWB005+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB005+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 08:31:35 EDT 2022
% Result : Theorem 1.02s 0.92s
% Output : Proof 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 82
% Syntax : Number of formulae : 177 ( 32 unt; 12 typ; 0 def)
% Number of atoms : 714 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 870 ( 343 ~; 259 |; 90 &)
% ( 160 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 22 ( 22 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 256 ( 236 !; 0 ?; 256 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_rdfs_Resource_type,type,
uri_rdfs_Resource: $i ).
tff(uri_ex_s_type,type,
uri_ex_s: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(ir_type,type,
ir: $i > $o ).
tff(uri_ex_o_type,type,
uri_ex_o: $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(ip_type,type,
ip: $i > $o ).
tff(uri_owl_ObjectProperty_type,type,
uri_owl_ObjectProperty: $i ).
tff(icext_type,type,
icext: ( $i * $i ) > $o ).
tff(uri_rdf_Property_type,type,
uri_rdf_Property: $i ).
tff(uri_owl_Thing_type,type,
uri_owl_Thing: $i ).
tff(1,plain,
^ [X: $i] :
refl(
( ( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
<=> ( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ) )),
inference(bind,[status(th)],]) ).
tff(2,plain,
( ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
<=> ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
<=> ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,axiom,
! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_ir_def) ).
tff(5,plain,
! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
| ( ir(uri_ex_s)
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
( ir(uri_ex_s)
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
<=> iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_005_Everything_is_a_Resource) ).
tff(12,plain,
iext(uri_ex_p,uri_ex_s,uri_ex_o),
inference(modus_ponens,[status(thm)],[11,10]) ).
tff(13,plain,
^ [S: $i,P: $i,O: $i] :
refl(
( ( ip(P)
| ~ iext(P,S,O) )
<=> ( ip(P)
| ~ iext(P,S,O) ) )),
inference(bind,[status(th)],]) ).
tff(14,plain,
( ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(quant_intro,[status(thm)],[13]) ).
tff(15,plain,
( ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,plain,
^ [S: $i,P: $i,O: $i] :
rewrite(
( ( iext(P,S,O)
=> ip(P) )
<=> ( ip(P)
| ~ iext(P,S,O) ) )),
inference(bind,[status(th)],]) ).
tff(17,plain,
( ! [S: $i,P: $i,O: $i] :
( iext(P,S,O)
=> ip(P) )
<=> ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ) ),
inference(quant_intro,[status(thm)],[16]) ).
tff(18,axiom,
! [S: $i,P: $i,O: $i] :
( iext(P,S,O)
=> ip(P) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).
tff(19,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[19,15]) ).
tff(21,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(skolemize,[status(sab)],[20]) ).
tff(22,plain,
! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) ),
inference(modus_ponens,[status(thm)],[21,14]) ).
tff(23,plain,
( ( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o) )
<=> ( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,plain,
( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(quant_inst,[status(thm)],]) ).
tff(25,plain,
( ~ ! [S: $i,P: $i,O: $i] :
( ip(P)
| ~ iext(P,S,O) )
| ip(uri_ex_p)
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
ip(uri_ex_p),
inference(unit_resolution,[status(thm)],[25,22,12]) ).
tff(27,plain,
^ [X: $i] :
refl(
( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(28,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
^ [X: $i] :
rewrite(
( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(30,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(transitivity,[status(thm)],[30,28]) ).
tff(32,plain,
^ [X: $i] :
rewrite(
( ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(33,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,plain,
( ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
^ [X: $i] :
trans(
monotonicity(
quant_intro(
proof_bind(
^ [Y: $i,Z: $i] :
rewrite(
( ( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) )
<=> ( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ))),
( ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) )
<=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )),
( ( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ( ip(X)
=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
rewrite(
( ( ip(X)
=> ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
( ( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) )),
inference(bind,[status(th)],]) ).
tff(36,plain,
( ! [X: $i] :
( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) )
<=> ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ) ),
inference(quant_intro,[status(thm)],[35]) ).
tff(37,axiom,
! [X: $i] :
( ip(X)
=> ! [Y: $i,Z: $i] :
( iext(X,Y,Z)
=> ( ir(Y)
& ir(Z) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_ip_cond_inst) ).
tff(38,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[37,36]) ).
tff(39,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[38,34]) ).
tff(40,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ( ir(Y)
& ir(Z) ) ) ),
inference(skolemize,[status(sab)],[39]) ).
tff(41,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[41,31]) ).
tff(43,plain,
( ( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_ex_p)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
<=> ( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_ex_p)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(44,plain,
( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_ex_p)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(45,plain,
( ~ ! [X: $i] :
( ~ ip(X)
| ! [Y: $i,Z: $i] :
( ~ iext(X,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) )
| ~ ip(uri_ex_p)
| ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ) ),
inference(modus_ponens,[status(thm)],[44,43]) ).
tff(46,plain,
! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) ),
inference(unit_resolution,[status(thm)],[45,42,26]) ).
tff(47,plain,
( ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o) ) )
<=> ( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(48,plain,
( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(49,plain,
( ~ ! [Y: $i,Z: $i] :
( ~ iext(uri_ex_p,Y,Z)
| ~ ( ~ ir(Y)
| ~ ir(Z) ) )
| ~ iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o) ) ),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
~ ( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o) ),
inference(unit_resolution,[status(thm)],[49,12,46]) ).
tff(51,plain,
( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o)
| ir(uri_ex_s) ),
inference(tautology,[status(thm)],]) ).
tff(52,plain,
ir(uri_ex_s),
inference(unit_resolution,[status(thm)],[51,50]) ).
tff(53,plain,
( ~ ( ir(uri_ex_s)
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) )
| ~ ir(uri_ex_s)
| iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(tautology,[status(thm)],]) ).
tff(54,plain,
( ~ ( ir(uri_ex_s)
<=> iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) )
| iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[53,52]) ).
tff(55,plain,
iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource),
inference(unit_resolution,[status(thm)],[54,9]) ).
tff(56,plain,
( ~ ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
| ( ir(uri_ex_o)
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(57,plain,
( ir(uri_ex_o)
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[56,7]) ).
tff(58,plain,
( ~ ir(uri_ex_s)
| ~ ir(uri_ex_o)
| ir(uri_ex_o) ),
inference(tautology,[status(thm)],]) ).
tff(59,plain,
ir(uri_ex_o),
inference(unit_resolution,[status(thm)],[58,50]) ).
tff(60,plain,
( ~ ( ir(uri_ex_o)
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) )
| ~ ir(uri_ex_o)
| iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(tautology,[status(thm)],]) ).
tff(61,plain,
( ~ ( ir(uri_ex_o)
<=> iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) )
| iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[60,59]) ).
tff(62,plain,
iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource),
inference(unit_resolution,[status(thm)],[61,57]) ).
tff(63,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(64,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)],[63]) ).
tff(65,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(66,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(67,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(skolemize,[status(sab)],[67]) ).
tff(69,plain,
! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) ),
inference(modus_ponens,[status(thm)],[68,64]) ).
tff(70,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(71,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[70,69]) ).
tff(72,plain,
^ [X: $i] :
refl(
( ( icext(uri_owl_ObjectProperty,X)
<=> ip(X) )
<=> ( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ) )),
inference(bind,[status(th)],]) ).
tff(73,plain,
( ! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) )
<=> ! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ) ),
inference(quant_intro,[status(thm)],[72]) ).
tff(74,plain,
( ! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) )
<=> ! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,axiom,
! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_objectproperty_ext) ).
tff(76,plain,
! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
inference(skolemize,[status(sab)],[76]) ).
tff(78,plain,
! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) ),
inference(modus_ponens,[status(thm)],[77,73]) ).
tff(79,plain,
( ~ ! [X: $i] :
( icext(uri_owl_ObjectProperty,X)
<=> ip(X) )
| ( icext(uri_owl_ObjectProperty,uri_ex_p)
<=> ip(uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(80,plain,
( icext(uri_owl_ObjectProperty,uri_ex_p)
<=> ip(uri_ex_p) ),
inference(unit_resolution,[status(thm)],[79,78]) ).
tff(81,plain,
( ~ ( icext(uri_owl_ObjectProperty,uri_ex_p)
<=> ip(uri_ex_p) )
| icext(uri_owl_ObjectProperty,uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(82,plain,
( ~ ( icext(uri_owl_ObjectProperty,uri_ex_p)
<=> ip(uri_ex_p) )
| icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[81,26]) ).
tff(83,plain,
icext(uri_owl_ObjectProperty,uri_ex_p),
inference(unit_resolution,[status(thm)],[82,80]) ).
tff(84,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_p) )
| iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ icext(uri_owl_ObjectProperty,uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(85,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
<=> icext(uri_owl_ObjectProperty,uri_ex_p) )
| iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
inference(unit_resolution,[status(thm)],[84,83]) ).
tff(86,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty),
inference(unit_resolution,[status(thm)],[85,71]) ).
tff(87,plain,
^ [X: $i] :
refl(
( ( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) )
<=> ( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ) )),
inference(bind,[status(th)],]) ).
tff(88,plain,
( ! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) )
<=> ! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ) ),
inference(quant_intro,[status(thm)],[87]) ).
tff(89,plain,
( ! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) )
<=> ! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ) ),
inference(rewrite,[status(thm)],]) ).
tff(90,axiom,
! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_ip_def) ).
tff(91,plain,
! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ),
inference(modus_ponens,[status(thm)],[90,89]) ).
tff(92,plain,
! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ),
inference(skolemize,[status(sab)],[91]) ).
tff(93,plain,
! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) ),
inference(modus_ponens,[status(thm)],[92,88]) ).
tff(94,plain,
( ~ ! [X: $i] :
( ip(X)
<=> iext(uri_rdf_type,X,uri_rdf_Property) )
| ( ip(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(95,plain,
( ip(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(unit_resolution,[status(thm)],[94,93]) ).
tff(96,plain,
( ~ ( ip(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )
| ~ ip(uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(tautology,[status(thm)],]) ).
tff(97,plain,
( ~ ( ip(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) )
| iext(uri_rdf_type,uri_ex_p,uri_rdf_Property) ),
inference(unit_resolution,[status(thm)],[96,26]) ).
tff(98,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdf_Property),
inference(unit_resolution,[status(thm)],[97,95]) ).
tff(99,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(100,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[99,69]) ).
tff(101,plain,
^ [X: $i] :
refl(
( ( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ( icext(uri_owl_Thing,X)
<=> ir(X) ) )),
inference(bind,[status(th)],]) ).
tff(102,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(quant_intro,[status(thm)],[101]) ).
tff(103,plain,
( ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
<=> ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(104,axiom,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_class_thing_ext) ).
tff(105,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[104,103]) ).
tff(106,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(skolemize,[status(sab)],[105]) ).
tff(107,plain,
! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) ),
inference(modus_ponens,[status(thm)],[106,102]) ).
tff(108,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
| ( icext(uri_owl_Thing,uri_ex_p)
<=> ir(uri_ex_p) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(109,plain,
( icext(uri_owl_Thing,uri_ex_p)
<=> ir(uri_ex_p) ),
inference(unit_resolution,[status(thm)],[108,107]) ).
tff(110,plain,
^ [X: $i] :
refl(
( ( ir(X)
| ~ ip(X) )
<=> ( ir(X)
| ~ ip(X) ) )),
inference(bind,[status(th)],]) ).
tff(111,plain,
( ! [X: $i] :
( ir(X)
| ~ ip(X) )
<=> ! [X: $i] :
( ir(X)
| ~ ip(X) ) ),
inference(quant_intro,[status(thm)],[110]) ).
tff(112,plain,
( ! [X: $i] :
( ir(X)
| ~ ip(X) )
<=> ! [X: $i] :
( ir(X)
| ~ ip(X) ) ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
^ [X: $i] :
rewrite(
( ( ip(X)
=> ir(X) )
<=> ( ir(X)
| ~ ip(X) ) )),
inference(bind,[status(th)],]) ).
tff(114,plain,
( ! [X: $i] :
( ip(X)
=> ir(X) )
<=> ! [X: $i] :
( ir(X)
| ~ ip(X) ) ),
inference(quant_intro,[status(thm)],[113]) ).
tff(115,axiom,
! [X: $i] :
( ip(X)
=> ir(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_parts_ip_cond_set) ).
tff(116,plain,
! [X: $i] :
( ir(X)
| ~ ip(X) ),
inference(modus_ponens,[status(thm)],[115,114]) ).
tff(117,plain,
! [X: $i] :
( ir(X)
| ~ ip(X) ),
inference(modus_ponens,[status(thm)],[116,112]) ).
tff(118,plain,
! [X: $i] :
( ir(X)
| ~ ip(X) ),
inference(skolemize,[status(sab)],[117]) ).
tff(119,plain,
! [X: $i] :
( ir(X)
| ~ ip(X) ),
inference(modus_ponens,[status(thm)],[118,111]) ).
tff(120,plain,
( ( ~ ! [X: $i] :
( ir(X)
| ~ ip(X) )
| ir(uri_ex_p)
| ~ ip(uri_ex_p) )
<=> ( ~ ! [X: $i] :
( ir(X)
| ~ ip(X) )
| ir(uri_ex_p)
| ~ ip(uri_ex_p) ) ),
inference(rewrite,[status(thm)],]) ).
tff(121,plain,
( ~ ! [X: $i] :
( ir(X)
| ~ ip(X) )
| ir(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(quant_inst,[status(thm)],]) ).
tff(122,plain,
( ~ ! [X: $i] :
( ir(X)
| ~ ip(X) )
| ir(uri_ex_p)
| ~ ip(uri_ex_p) ),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,plain,
ir(uri_ex_p),
inference(unit_resolution,[status(thm)],[122,119,26]) ).
tff(124,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_p)
<=> ir(uri_ex_p) )
| icext(uri_owl_Thing,uri_ex_p)
| ~ ir(uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(125,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_p)
<=> ir(uri_ex_p) )
| icext(uri_owl_Thing,uri_ex_p) ),
inference(unit_resolution,[status(thm)],[124,123]) ).
tff(126,plain,
icext(uri_owl_Thing,uri_ex_p),
inference(unit_resolution,[status(thm)],[125,109]) ).
tff(127,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_p) )
| iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ icext(uri_owl_Thing,uri_ex_p) ),
inference(tautology,[status(thm)],]) ).
tff(128,plain,
( ~ ( iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_p) )
| iext(uri_rdf_type,uri_ex_p,uri_owl_Thing) ),
inference(unit_resolution,[status(thm)],[127,126]) ).
tff(129,plain,
iext(uri_rdf_type,uri_ex_p,uri_owl_Thing),
inference(unit_resolution,[status(thm)],[128,100]) ).
tff(130,plain,
( ~ ! [X: $i] :
( ir(X)
<=> iext(uri_rdf_type,X,uri_rdfs_Resource) )
| ( ir(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(131,plain,
( ir(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[130,7]) ).
tff(132,plain,
( ~ ( ir(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) )
| ~ ir(uri_ex_p)
| iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(tautology,[status(thm)],]) ).
tff(133,plain,
( ~ ( ir(uri_ex_p)
<=> iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) )
| iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource) ),
inference(unit_resolution,[status(thm)],[132,123]) ).
tff(134,plain,
iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource),
inference(unit_resolution,[status(thm)],[133,131]) ).
tff(135,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_o) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(136,plain,
( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_o) ),
inference(unit_resolution,[status(thm)],[135,69]) ).
tff(137,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
| ( icext(uri_owl_Thing,uri_ex_o)
<=> ir(uri_ex_o) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(138,plain,
( icext(uri_owl_Thing,uri_ex_o)
<=> ir(uri_ex_o) ),
inference(unit_resolution,[status(thm)],[137,107]) ).
tff(139,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_o)
<=> ir(uri_ex_o) )
| icext(uri_owl_Thing,uri_ex_o)
| ~ ir(uri_ex_o) ),
inference(tautology,[status(thm)],]) ).
tff(140,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_o)
<=> ir(uri_ex_o) )
| icext(uri_owl_Thing,uri_ex_o) ),
inference(unit_resolution,[status(thm)],[139,59]) ).
tff(141,plain,
icext(uri_owl_Thing,uri_ex_o),
inference(unit_resolution,[status(thm)],[140,138]) ).
tff(142,plain,
( ~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_o) )
| iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
| ~ icext(uri_owl_Thing,uri_ex_o) ),
inference(tautology,[status(thm)],]) ).
tff(143,plain,
( ~ ( iext(uri_rdf_type,uri_ex_o,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_o) )
| iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(unit_resolution,[status(thm)],[142,141]) ).
tff(144,plain,
iext(uri_rdf_type,uri_ex_o,uri_owl_Thing),
inference(unit_resolution,[status(thm)],[143,136]) ).
tff(145,plain,
( ~ ! [X: $i,C: $i] :
( iext(uri_rdf_type,X,C)
<=> icext(C,X) )
| ( iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_s) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(146,plain,
( iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_s) ),
inference(unit_resolution,[status(thm)],[145,69]) ).
tff(147,plain,
( ~ ! [X: $i] :
( icext(uri_owl_Thing,X)
<=> ir(X) )
| ( icext(uri_owl_Thing,uri_ex_s)
<=> ir(uri_ex_s) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(148,plain,
( icext(uri_owl_Thing,uri_ex_s)
<=> ir(uri_ex_s) ),
inference(unit_resolution,[status(thm)],[147,107]) ).
tff(149,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_s)
<=> ir(uri_ex_s) )
| icext(uri_owl_Thing,uri_ex_s)
| ~ ir(uri_ex_s) ),
inference(tautology,[status(thm)],]) ).
tff(150,plain,
( ~ ( icext(uri_owl_Thing,uri_ex_s)
<=> ir(uri_ex_s) )
| icext(uri_owl_Thing,uri_ex_s) ),
inference(unit_resolution,[status(thm)],[149,52]) ).
tff(151,plain,
icext(uri_owl_Thing,uri_ex_s),
inference(unit_resolution,[status(thm)],[150,148]) ).
tff(152,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_s) )
| iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ icext(uri_owl_Thing,uri_ex_s) ),
inference(tautology,[status(thm)],]) ).
tff(153,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
<=> icext(uri_owl_Thing,uri_ex_s) )
| iext(uri_rdf_type,uri_ex_s,uri_owl_Thing) ),
inference(unit_resolution,[status(thm)],[152,151]) ).
tff(154,plain,
iext(uri_rdf_type,uri_ex_s,uri_owl_Thing),
inference(unit_resolution,[status(thm)],[153,146]) ).
tff(155,plain,
( ~ ~ ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(rewrite,[status(thm)],]) ).
tff(156,plain,
( ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ~ ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(rewrite,[status(thm)],]) ).
tff(157,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ~ ~ ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(monotonicity,[status(thm)],[156]) ).
tff(158,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(transitivity,[status(thm)],[157,155]) ).
tff(159,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(rewrite,[status(thm)],]) ).
tff(160,plain,
( ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) )
<=> ~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ) ),
inference(rewrite,[status(thm)],]) ).
tff(161,axiom,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_005_Everything_is_a_Resource) ).
tff(162,plain,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(modus_ponens,[status(thm)],[161,160]) ).
tff(163,plain,
~ ( iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
& iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
& iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
& iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(modus_ponens,[status(thm)],[162,159]) ).
tff(164,plain,
( ~ iext(uri_rdf_type,uri_ex_s,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_s,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_Thing)
| ~ iext(uri_rdf_type,uri_ex_p,uri_rdf_Property)
| ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
| ~ iext(uri_rdf_type,uri_ex_o,uri_rdfs_Resource)
| ~ iext(uri_rdf_type,uri_ex_o,uri_owl_Thing) ),
inference(modus_ponens,[status(thm)],[163,158]) ).
tff(165,plain,
$false,
inference(unit_resolution,[status(thm)],[164,154,144,134,129,98,86,62,55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB005+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Sep 3 19:10:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 1.02/0.92 % SZS status Theorem
% 1.02/0.92 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------