TSTP Solution File: SWB015+2 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 08:31:46 EDT 2022
% Result : Theorem 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 4 unt; 2 typ; 0 def)
% Number of atoms : 65 ( 24 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 56 ( 12 ~; 8 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 5 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 34 ( 32 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(uri_owl_sameAs_type,type,
uri_owl_sameAs: $i ).
tff(1,plain,
( ~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_015_Reflective_Tautologies_I) ).
tff(3,plain,
~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,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(5,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)],[4]) ).
tff(6,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(7,axiom,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
tff(8,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) ),
inference(modus_ponens,[status(thm)],[9,5]) ).
tff(11,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> $true )
<=> iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( ( uri_owl_sameAs = uri_owl_sameAs )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ( uri_owl_sameAs = uri_owl_sameAs ) )
<=> ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> $true ) ),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
( ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ( uri_owl_sameAs = uri_owl_sameAs ) )
<=> iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ),
inference(transitivity,[status(thm)],[14,12]) ).
tff(16,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ( uri_owl_sameAs = uri_owl_sameAs ) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ) ),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ( uri_owl_sameAs = uri_owl_sameAs ) ) )
<=> ( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ) ),
inference(transitivity,[status(thm)],[16,11]) ).
tff(18,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| ( iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs)
<=> ( uri_owl_sameAs = uri_owl_sameAs ) ) ),
inference(quant_inst,[status(thm)],]) ).
tff(19,plain,
( ~ ! [X: $i,Y: $i] :
( iext(uri_owl_sameAs,X,Y)
<=> ( X = Y ) )
| iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs) ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
$false,
inference(unit_resolution,[status(thm)],[19,10,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB015+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Sep 3 19:33:40 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------