%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR037+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:01:23 AM UTC 2025
% Result : Theorem 0.18s 0.51s
% Output : Proof 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 37 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 195 ( 85 ~; 65 |; 16 &)
% ( 20 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 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',query87) ).
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/Axioms/CSR002+1.ax',ax1_1041) ).
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,
( mtvisible(c_tptpgeo_member7_mt)
<=> mtvisible(c_tptpgeo_member7_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(20,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(21,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(modus_ponens,[status(thm)],[20,19]) ).
tff(22,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(23,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(24,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_276) ).
tff(25,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24) ),
inference(modus_ponens,[status(thm)],[25,22]) ).
tff(27,plain,
geographicalsubregions(c_georegion_l2_x5_y8,c_georegion_l3_x15_y24),
inference(unit_resolution,[status(thm)],[26,21]) ).
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,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(30,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_188) ).
tff(31,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(modus_ponens,[status(thm)],[30,29]) ).
tff(32,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72) ),
inference(modus_ponens,[status(thm)],[31,28]) ).
tff(33,plain,
geographicalsubregions(c_georegion_l3_x15_y24,c_georegion_l4_x45_y72),
inference(unit_resolution,[status(thm)],[32,21]) ).
tff(34,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(35,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(36,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)],[35,34]) ).
tff(37,plain,
$false,
inference(unit_resolution,[status(thm)],[36,33,27,18,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR037+2 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % 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 : Thu Jun 19 12:32:50 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.18/0.51 % SZS status Theorem
% 0.18/0.51 % SZS output start Proof
% See solution above
% 0.18/0.54 % E exiting
%------------------------------------------------------------------------------