%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWB003+3 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:29:29 AM UTC 2025
% Result : Theorem 0.20s 0.42s
% Output : Proof 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 18 ~; 1 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 4 ( 4 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 14 ( 5 !; 7 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(iext_type,type,
iext: ( $i * $i * $i ) > $o ).
tff(literal_plain_type,type,
literal_plain: $i > $i ).
tff(dat_str_foo_type,type,
dat_str_foo: $i ).
tff(uri_ex_s_type,type,
uri_ex_s: $i ).
tff(uri_ex_p_type,type,
uri_ex_p: $i ).
tff(1,plain,
( iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo))
<=> iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_003_Blank_Nodes_for_Literals) ).
tff(3,plain,
iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
^ [BNODE_x: $i] :
refl(( ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
<=> ~ iext(uri_ex_p,uri_ex_s,BNODE_x) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [BNODE_x: $i] : ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
<=> ! [BNODE_x: $i] : ~ iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,plain,
( ~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x)
<=> ~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,axiom,
~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_003_Blank_Nodes_for_Literals) ).
tff(8,plain,
~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(modus_ponens,[status(thm)],[7,6]) ).
tff(9,plain,
~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(modus_ponens,[status(thm)],[8,6]) ).
tff(10,plain,
~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(modus_ponens,[status(thm)],[9,6]) ).
tff(11,plain,
~ ? [BNODE_x: $i] : iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(modus_ponens,[status(thm)],[10,6]) ).
tff(12,plain,
^ [BNODE_x: $i] : refl($oeq(~ iext(uri_ex_p,uri_ex_s,BNODE_x),~ iext(uri_ex_p,uri_ex_s,BNODE_x))),
inference(bind,[status(th)],[]) ).
tff(13,plain,
! [BNODE_x: $i] : ~ iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(nnf-neg,[status(sab)],[11,12]) ).
tff(14,plain,
! [BNODE_x: $i] : ~ iext(uri_ex_p,uri_ex_s,BNODE_x),
inference(modus_ponens,[status(thm)],[13,5]) ).
tff(15,plain,
( ~ ! [BNODE_x: $i] : ~ iext(uri_ex_p,uri_ex_s,BNODE_x)
| ~ iext(uri_ex_p,uri_ex_s,literal_plain(dat_str_foo)) ),
inference(quant_inst,[status(thm)],[]) ).
tff(16,plain,
$false,
inference(unit_resolution,[status(thm)],[15,14,3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWB003+3 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 07:47:02 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 % SZS output start Proof
% See solution above
% 0.20/0.42 % E exiting
%------------------------------------------------------------------------------