%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB015+2 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:29:35 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 4 unt; 0 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 : 0 ( 0 >; 0 *; 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 v9.0.0. Released v5.2.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 07:47:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% See solution above
% 0.11/0.37 % E exiting
%------------------------------------------------------------------------------