TSTP Solution File: CSR037+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 14:27:19 EDT 2022
% Result : Theorem 0.12s 0.39s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 51 ( 10 unt; 6 typ; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 208 ( 87 ~; 67 |; 16 &)
% ( 29 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 2 >; 1 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 60 ( 54 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(geographicalsubregions_type,type,
geographicalsubregions: ( $i * $i ) > $o ).
tff(c_georegion_l4_x45_y72_type,type,
c_georegion_l4_x45_y72: $i ).
tff(c_georegion_l2_x5_y8_type,type,
c_georegion_l2_x5_y8: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member7_mt_type,type,
c_tptpgeo_member7_mt: $i ).
tff(c_georegion_l3_x15_y24_type,type,
c_georegion_l3_x15_y24: $i ).
tff(1,plain,
( ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
<=> ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ) ),
inference(rewrite,[status(thm)],]) ).
tff(3,axiom,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query37) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
( ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) ),
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(
monotonicity(
trans(
monotonicity(
rewrite(
( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
<=> ~ ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
<=> ~ ~ ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
rewrite(
( ~ ~ ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
<=> ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
<=> ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
( ( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) )
<=> ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y)
| geographicalsubregions(X,Z) ) )),
rewrite(
( ( ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y)
| geographicalsubregions(X,Z) )
<=> ( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
( ( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) )
<=> ( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) )),
inference(bind,[status(th)],]) ).
tff(9,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ) ),
inference(quant_intro,[status(thm)],[8]) ).
tff(10,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ) ),
inference(rewrite,[status(thm)],]) ).
tff(11,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(
( ( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
=> geographicalsubregions(X,Z) )
<=> ( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ) )),
inference(bind,[status(th)],]) ).
tff(12,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
=> geographicalsubregions(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
=> geographicalsubregions(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
tff(14,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ),
inference(modus_ponens,[status(thm)],[14,10]) ).
tff(16,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( geographicalsubregions(X,Y)
& geographicalsubregions(Y,Z) )
| geographicalsubregions(X,Z) ),
inference(skolemize,[status(sab)],[15]) ).
tff(17,plain,
! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(modus_ponens,[status(thm)],[16,9]) ).
tff(18,plain,
! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) ),
inference(modus_ponens,[status(thm)],[17,7]) ).
tff(19,plain,
( geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(rewrite,[status(thm)],]) ).
tff(20,plain,
( ( $false
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) )
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(rewrite,[status(thm)],]) ).
tff(21,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(22,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(23,plain,
( mtvisible(c_tptpgeo_member7_mt)
<=> $true ),
inference(iff_true,[status(thm)],[22]) ).
tff(24,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[23]) ).
tff(25,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
<=> $false ),
inference(transitivity,[status(thm)],[24,21]) ).
tff(26,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) )
<=> ( $false
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ) ),
inference(monotonicity,[status(thm)],[25]) ).
tff(27,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) )
<=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(transitivity,[status(thm)],[26,20]) ).
tff(28,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
tff(30,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(modus_ponens,[status(thm)],[30,27]) ).
tff(32,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(modus_ponens,[status(thm)],[31,19]) ).
tff(33,plain,
( geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24)
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(rewrite,[status(thm)],]) ).
tff(34,plain,
( ( $false
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(rewrite,[status(thm)],]) ).
tff(35,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )
<=> ( $false
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ) ),
inference(monotonicity,[status(thm)],[25]) ).
tff(36,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )
<=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(transitivity,[status(thm)],[35,34]) ).
tff(37,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ) ),
inference(rewrite,[status(thm)],]) ).
tff(38,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
tff(39,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(modus_ponens,[status(thm)],[38,37]) ).
tff(40,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(modus_ponens,[status(thm)],[39,36]) ).
tff(41,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(modus_ponens,[status(thm)],[40,33]) ).
tff(42,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ) ),
inference(rewrite,[status(thm)],]) ).
tff(43,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(quant_inst,[status(thm)],]) ).
tff(44,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( geographicalsubregions(X,Z)
| ~ geographicalsubregions(Y,Z)
| ~ geographicalsubregions(X,Y) )
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72)
| ~ geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(modus_ponens,[status(thm)],[43,42]) ).
tff(45,plain,
$false,
inference(unit_resolution,[status(thm)],[44,41,32,18,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR037+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n022.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 : Tue Aug 30 17:19:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.39 % SZS status Theorem
% 0.12/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------