%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR069+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.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 05:01:44 AM UTC 2025
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 15 ~; 7 |; 0 &)
% ( 5 <=>; 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 : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member1_mt_type,type,
c_tptpgeo_member1_mt: $i ).
tff(borderson_type,type,
borderson: ( $i * $i ) > $o ).
tff(c_georegion_l4_x39_y24_type,type,
c_georegion_l4_x39_y24: $i ).
tff(c_georegion_l4_x38_y24_type,type,
c_georegion_l4_x38_y24: $i ).
tff(1,plain,
( mtvisible(c_tptpgeo_member1_mt)
<=> mtvisible(c_tptpgeo_member1_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query119) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
mtvisible(c_tptpgeo_member1_mt),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
( ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24)
<=> ~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(or_elim,[status(thm)],[4]) ).
tff(9,plain,
~ borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
( ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) )
<=> ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(11,plain,
( ( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) )
<=> ( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,axiom,
( mtvisible(c_tptpgeo_member1_mt)
=> borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_463) ).
tff(13,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(modus_ponens,[status(thm)],[12,11]) ).
tff(14,plain,
( ~ mtvisible(c_tptpgeo_member1_mt)
| borderson(c_georegion_l4_x38_y24,c_georegion_l4_x39_y24) ),
inference(modus_ponens,[status(thm)],[13,10]) ).
tff(15,plain,
$false,
inference(unit_resolution,[status(thm)],[14,9,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR069+2 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n007.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 : Thu Jun 19 12:52:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.21/0.53 % SZS status Theorem
% 0.21/0.53 % SZS output start Proof
% See solution above
% 0.21/0.54 % E exiting
%------------------------------------------------------------------------------