TSTP Solution File: SWB007+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB007+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 08:31:37 EDT 2022
% Result : Theorem 0.56s 0.70s
% Output : Proof 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 54 ( 14 unt; 10 typ; 0 def)
% Number of atoms : 118 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 109 ( 36 ~; 16 |; 26 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 1 >; 2 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 20 ( 18 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_ex_c2_type,type,
uri_ex_c2: $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(uri_rdfs_range_type,type,
uri_rdfs_range: $i ).
tff(uri_ex_c1_type,type,
uri_ex_c1: $i ).
tff(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
tff(uri_ex_w_type,type,
uri_ex_w: $i ).
tff(uri_rdf_type_type,type,
uri_rdf_type: $i ).
tff(uri_ex_c_type,type,
uri_ex_c: $i ).
tff(uri_rdfs_subClassOf_type,type,
uri_rdfs_subClassOf: $i ).
tff(1,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(2,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)],[1]) ).
tff(3,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(4,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).
tff(5,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[4,3]) ).
tff(6,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(skolemize,[status(sab)],[5]) ).
tff(7,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[6,2]) ).
tff(8,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
<=> ( uri_ex_c1 = uri_ex_c2 ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(9,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
<=> ( uri_ex_c1 = uri_ex_c2 ) ),
inference(unit_resolution,[status(thm)],[8,7]) ).
tff(10,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
<=> iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
inference(rewrite,[status(thm)],]) ).
tff(11,axiom,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
tff(12,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(and_elim,[status(thm)],[11]) ).
tff(13,plain,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1) ),
inference(and_elim,[status(thm)],[12]) ).
tff(14,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(and_elim,[status(thm)],[13]) ).
tff(15,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(modus_ponens,[status(thm)],[14,10]) ).
tff(16,plain,
( ~ ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
<=> ( uri_ex_c1 = uri_ex_c2 ) )
| ~ iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
| ( uri_ex_c1 = uri_ex_c2 ) ),
inference(tautology,[status(thm)],]) ).
tff(17,plain,
( ~ ( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
<=> ( uri_ex_c1 = uri_ex_c2 ) )
| ( uri_ex_c1 = uri_ex_c2 ) ),
inference(unit_resolution,[status(thm)],[16,15]) ).
tff(18,plain,
uri_ex_c1 = uri_ex_c2,
inference(unit_resolution,[status(thm)],[17,9]) ).
tff(19,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
<=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
<=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(and_elim,[status(thm)],[11]) ).
tff(22,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
inference(modus_ponens,[status(thm)],[22,19]) ).
tff(24,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
<=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(25,plain,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
<=> iext(uri_rdf_type,uri_ex_w,uri_ex_c1) ),
inference(rewrite,[status(thm)],]) ).
tff(26,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(and_elim,[status(thm)],[13]) ).
tff(27,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(modus_ponens,[status(thm)],[26,25]) ).
tff(28,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(modus_ponens,[status(thm)],[27,24]) ).
tff(29,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
<=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
inference(monotonicity,[status(thm)],[18]) ).
tff(30,plain,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
<=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1) ),
inference(rewrite,[status(thm)],]) ).
tff(31,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(and_elim,[status(thm)],[12]) ).
tff(32,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(modus_ponens,[status(thm)],[31,30]) ).
tff(33,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
inference(modus_ponens,[status(thm)],[32,29]) ).
tff(34,plain,
( ~ ~ ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ~ ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(36,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ~ ~ ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(monotonicity,[status(thm)],[35]) ).
tff(37,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(transitivity,[status(thm)],[36,34]) ).
tff(38,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(39,plain,
( ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) )
<=> ~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ) ),
inference(rewrite,[status(thm)],]) ).
tff(40,axiom,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
tff(41,plain,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(modus_ponens,[status(thm)],[40,39]) ).
tff(42,plain,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(modus_ponens,[status(thm)],[41,38]) ).
tff(43,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(modus_ponens,[status(thm)],[42,37]) ).
tff(44,plain,
$false,
inference(unit_resolution,[status(thm)],[43,33,28,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB007+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 : n011.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 19:14:29 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.
% 0.56/0.70 % SZS status Theorem
% 0.56/0.70 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------