%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR042+2 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:01:27 AM UTC 2025
% Result : Theorem 86.51s 86.76s
% Output : Proof 86.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 152 ( 77 ~; 56 |; 0 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 6 ( 6 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 51 ( 36 !; 9 ?; 51 :)
% Comments :
%------------------------------------------------------------------------------
tff(borderson_type,type,
borderson: ( $i * $i ) > $o ).
tff(c_georegion_l4_x27_y64_type,type,
c_georegion_l4_x27_y64: $i ).
tff(c_georegion_l4_x27_y65_type,type,
c_georegion_l4_x27_y65: $i ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member7_mt_type,type,
c_tptpgeo_member7_mt: $i ).
tff(c_tptpgeo_member8_mt_type,type,
c_tptpgeo_member8_mt: $i ).
tff(1,plain,
^ [X: $i,Y: $i] :
refl(( ( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [X: $i,Y: $i] :
rewrite(( ( borderson(X,Y)
=> borderson(Y,X) )
<=> ( ~ borderson(X,Y)
| borderson(Y,X) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [X: $i,Y: $i] :
( borderson(X,Y)
=> borderson(Y,X) )
<=> ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [X: $i,Y: $i] :
( borderson(X,Y)
=> borderson(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_900) ).
tff(7,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
^ [ARG1: $i] :
refl(( ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) )),
inference(bind,[status(th)],[]) ).
tff(12,plain,
( ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(quant_intro,[status(thm)],[11]) ).
tff(13,plain,
( ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(14,plain,
( ~ ? [ARG1: $i] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) )
<=> ~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(15,axiom,
~ ? [ARG1: $i] :
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(ARG1,c_georegion_l4_x27_y64) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query92) ).
tff(16,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[16,13]) ).
tff(18,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[17,13]) ).
tff(19,plain,
~ ? [ARG1: $i] :
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[18,13]) ).
tff(20,plain,
^ [ARG1: $i] :
refl($oeq(~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ))),
inference(bind,[status(th)],[]) ).
tff(21,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(nnf-neg,[status(sab)],[19,20]) ).
tff(22,plain,
! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[21,12]) ).
tff(23,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
| ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_tptpgeo_member8_mt,c_georegion_l4_x27_y64) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(24,plain,
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_tptpgeo_member8_mt,c_georegion_l4_x27_y64) ),
inference(unit_resolution,[status(thm)],[23,22]) ).
tff(25,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_tptpgeo_member8_mt,c_georegion_l4_x27_y64)
| mtvisible(c_tptpgeo_member7_mt) ),
inference(tautology,[status(thm)],[]) ).
tff(26,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(unit_resolution,[status(thm)],[25,24]) ).
tff(27,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(28,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(29,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_122) ).
tff(30,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65) ),
inference(modus_ponens,[status(thm)],[30,27]) ).
tff(32,plain,
borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65),
inference(unit_resolution,[status(thm)],[31,26]) ).
tff(33,plain,
( ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) )
<=> ( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(34,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(quant_inst,[status(thm)],[]) ).
tff(35,plain,
( ~ ! [X: $i,Y: $i] :
( ~ borderson(X,Y)
| borderson(Y,X) )
| ~ borderson(c_georegion_l4_x27_y64,c_georegion_l4_x27_y65)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64),
inference(unit_resolution,[status(thm)],[35,32,10]) ).
tff(37,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64)
| ~ borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(tautology,[status(thm)],[]) ).
tff(38,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ),
inference(unit_resolution,[status(thm)],[37,36]) ).
tff(39,plain,
( ~ ! [ARG1: $i] :
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(ARG1,c_georegion_l4_x27_y64) )
| ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| borderson(c_georegion_l4_x27_y65,c_georegion_l4_x27_y64) ) ),
inference(quant_inst,[status(thm)],[]) ).
tff(40,plain,
$false,
inference(unit_resolution,[status(thm)],[39,22,38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR042+2 : TPTP v9.0.0. Released v3.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.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 : Thu Jun 19 12:40:48 EDT 2025
% 0.12/0.34 % CPUTime :
% 86.51/86.76 % SZS status Theorem
% 86.51/86.76 % SZS output start Proof
% See solution above
% 86.59/86.81 % E exiting
%------------------------------------------------------------------------------