TSTP Solution File: CSR053+5 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR053+5 : TPTP v8.1.0. Bugfixed v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 14:27:41 EDT 2022
% Result : Theorem 46.36s 43.43s
% Output : Proof 46.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 3 unt; 5 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 15 ~; 8 |; 0 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(geographicalsubregions_type,type,
geographicalsubregions: ( $i * $i ) > $o ).
tff(c_georegion_l4_x35_y7_type,type,
c_georegion_l4_x35_y7: $i ).
tff(c_georegion_l3_x11_y2_type,type,
c_georegion_l3_x11_y2: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member1_mt_type,type,
c_tptpgeo_member1_mt: $i ).
tff(1,plain,
( ( $false
| $false )
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query253) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
( geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7)
<=> $false ),
inference(iff_false,[status(thm)],[5]) ).
tff(7,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(9,plain,
( mtvisible(c_tptpgeo_member1_mt)
<=> $true ),
inference(iff_true,[status(thm)],[8]) ).
tff(10,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
<=> $false ),
inference(transitivity,[status(thm)],[10,7]) ).
tff(12,plain,
( ( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
<=> ( $false
| $false ) ),
inference(monotonicity,[status(thm)],[11,6]) ).
tff(13,plain,
( ( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
<=> $false ),
inference(transitivity,[status(thm)],[12,1]) ).
tff(14,plain,
( ( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) )
<=> ( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_169406) ).
tff(16,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| geographicalsubregions(c_georegion_l3_x11_y2,c_georegion_l4_x35_y7) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
$false,
inference(modus_ponens,[status(thm)],[16,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR053+5 : TPTP v8.1.0. Bugfixed v3.5.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:56:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35 Usage: tptp [options] [-file:]file
% 0.14/0.35 -h, -? prints this message.
% 0.14/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.35 -m, -model generate model.
% 0.14/0.35 -p, -proof generate proof.
% 0.14/0.35 -c, -core generate unsat core of named formulas.
% 0.14/0.35 -st, -statistics display statistics.
% 0.14/0.35 -t:timeout set timeout (in second).
% 0.14/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35 -<param>:<value> configuration parameter and value.
% 0.14/0.35 -o:<output-file> file to place output in.
% 46.36/43.43 % SZS status Theorem
% 46.36/43.43 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------