%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR074+3 : 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 05:01:48 AM UTC 2025
% Result : Theorem 2.67s 2.87s
% Output : Proof 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 43
% Syntax : Number of formulae : 97 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 469 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 613 ( 272 ~; 226 |; 43 &)
% ( 55 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 31 ( 31 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 164 ( 148 !; 0 ?; 164 :)
% Comments :
%------------------------------------------------------------------------------
tff(inregion_type,type,
inregion: ( $i * $i ) > $o ).
tff(c_georegion_l3_x17_y24_type,type,
c_georegion_l3_x17_y24: $i ).
tff(c_georegion_l4_x53_y74_type,type,
c_georegion_l4_x53_y74: $i ).
tff(geographicalsubregions_type,type,
geographicalsubregions: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member7_mt_type,type,
c_tptpgeo_member7_mt: $i ).
tff(geolevel_3_type,type,
geolevel_3: $i > $o ).
tff(c_geolocation_x53_y74_type,type,
c_geolocation_x53_y74: $i ).
tff(c_worldgeographymt_type,type,
c_worldgeographymt: $i ).
tff(c_tptpgeo_spindleheadmt_type,type,
c_tptpgeo_spindleheadmt: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(1,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
<=> ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) )),
inference(bind,[status(th)],[]) ).
tff(2,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[1]) ).
tff(3,plain,
( ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(4,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) )
<=> ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) )),
inference(bind,[status(th)],[]) ).
tff(5,plain,
( ! [ARG1: $i,ARG2: $i] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) )
<=> ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) ),
inference(quant_intro,[status(thm)],[4]) ).
tff(6,axiom,
! [ARG1: $i,ARG2: $i] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1935) ).
tff(7,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[7,3]) ).
tff(9,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(skolemize,[status(sab)],[8]) ).
tff(10,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[9,2]) ).
tff(11,plain,
( mtvisible(c_tptpgeo_member7_mt)
<=> mtvisible(c_tptpgeo_member7_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(12,plain,
( ~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
~ ( mtvisible(c_tptpgeo_member7_mt)
=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query174) ).
tff(14,plain,
~ ( ~ mtvisible(c_tptpgeo_member7_mt)
| ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(or_elim,[status(thm)],[14]) ).
tff(16,plain,
mtvisible(c_tptpgeo_member7_mt),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(18,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(19,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1651) ).
tff(20,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
inference(modus_ponens,[status(thm)],[19,18]) ).
tff(21,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74) ),
inference(modus_ponens,[status(thm)],[20,17]) ).
tff(22,plain,
geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74),
inference(unit_resolution,[status(thm)],[21,16]) ).
tff(23,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ),
inference(quant_inst,[status(thm)],[]) ).
tff(25,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x17_y24,c_georegion_l4_x53_y74)
| inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24),
inference(unit_resolution,[status(thm)],[25,22,10]) ).
tff(27,plain,
^ [SPECMT: $i,GENLMT: $i] :
refl(( ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(28,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[27]) ).
tff(29,plain,
^ [SPECMT: $i,GENLMT: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ~ ~ ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
<=> ( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) ) )),
rewrite(( ( mtvisible(GENLMT)
| ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
( ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) )),
inference(bind,[status(th)],[]) ).
tff(30,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ) ),
inference(quant_intro,[status(thm)],[29]) ).
tff(31,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,plain,
^ [SPECMT: $i,GENLMT: $i] :
rewrite(( ( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) )),
inference(bind,[status(th)],[]) ).
tff(33,plain,
( ! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) )
<=> ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ) ),
inference(quant_intro,[status(thm)],[32]) ).
tff(34,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
tff(35,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[34,33]) ).
tff(36,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[35,31]) ).
tff(37,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[36]) ).
tff(38,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[37,30]) ).
tff(39,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[38,28]) ).
tff(40,plain,
( genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
<=> genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(41,axiom,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1188) ).
tff(42,plain,
genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(44,plain,
( ( mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member7_mt) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(45,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member7_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[44]) ).
tff(46,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member7_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[45,43]) ).
tff(47,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member7_mt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member7_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member7_mt,c_tptpgeo_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(unit_resolution,[status(thm)],[48,16,42,39]) ).
tff(50,plain,
( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
<=> genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ),
inference(rewrite,[status(thm)],[]) ).
tff(51,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1111) ).
tff(52,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(modus_ponens,[status(thm)],[51,50]) ).
tff(53,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_worldgeographymt)
| ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_worldgeographymt)
| ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(54,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_worldgeographymt)
| ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(55,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_worldgeographymt)
| ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
( mtvisible(c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(unit_resolution,[status(thm)],[55,52,39]) ).
tff(57,plain,
mtvisible(c_worldgeographymt),
inference(unit_resolution,[status(thm)],[56,49]) ).
tff(58,plain,
( ( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) )
<=> ( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(59,plain,
( ( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) )
<=> ( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(60,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x17_y24) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2249) ).
tff(61,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[60,59]) ).
tff(62,plain,
( geolevel_3(c_georegion_l3_x17_y24)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[61,58]) ).
tff(63,plain,
geolevel_3(c_georegion_l3_x17_y24),
inference(unit_resolution,[status(thm)],[62,57]) ).
tff(64,plain,
( ~ ~ ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) )
<=> ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(65,plain,
( ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) )
<=> ~ ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(66,plain,
( ~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) )
<=> ~ ~ ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(monotonicity,[status(thm)],[65]) ).
tff(67,plain,
( ~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) )
<=> ( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(transitivity,[status(thm)],[66,64]) ).
tff(68,plain,
( ~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) )
<=> ~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ),
inference(or_elim,[status(thm)],[14]) ).
tff(70,plain,
~ ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
& geolevel_3(c_georegion_l3_x17_y24) ),
inference(modus_ponens,[status(thm)],[69,68]) ).
tff(71,plain,
( ~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ geolevel_3(c_georegion_l3_x17_y24) ),
inference(modus_ponens,[status(thm)],[70,67]) ).
tff(72,plain,
~ inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24),
inference(unit_resolution,[status(thm)],[71,63]) ).
tff(73,plain,
( ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
<=> ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(74,plain,
^ [X: $i,Y: $i,Z: $i] :
trans(monotonicity(trans(monotonicity(rewrite(( ( inregion(X,Y)
& inregion(Y,Z) )
<=> ~ ( ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
<=> ~ ~ ( ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
rewrite(( ~ ~ ( ~ inregion(Y,Z)
| ~ inregion(X,Y) )
<=> ( ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
<=> ( ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
( ( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) )
<=> ( ~ inregion(Y,Z)
| ~ inregion(X,Y)
| inregion(X,Z) ) )),
rewrite(( ( ~ inregion(Y,Z)
| ~ inregion(X,Y)
| inregion(X,Z) )
<=> ( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
( ( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) )
<=> ( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ) )),
inference(bind,[status(th)],[]) ).
tff(75,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ) ),
inference(quant_intro,[status(thm)],[74]) ).
tff(76,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,plain,
^ [X: $i,Y: $i,Z: $i] :
rewrite(( ( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) )
<=> ( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ) )),
inference(bind,[status(th)],[]) ).
tff(78,plain,
( ! [X: $i,Y: $i,Z: $i] :
( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) )
<=> ! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ) ),
inference(quant_intro,[status(thm)],[77]) ).
tff(79,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7302) ).
tff(80,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[79,78]) ).
tff(81,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[80,76]) ).
tff(82,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(skolemize,[status(sab)],[81]) ).
tff(83,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[82,75]) ).
tff(84,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[83,73]) ).
tff(85,plain,
( ( ~ mtvisible(c_tptpgeo_member7_mt)
| inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(86,plain,
( ( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) )
<=> ( ~ mtvisible(c_tptpgeo_member7_mt)
| inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
( mtvisible(c_tptpgeo_member7_mt)
=> inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_912) ).
tff(88,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( ~ mtvisible(c_tptpgeo_member7_mt)
| inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
inference(modus_ponens,[status(thm)],[88,85]) ).
tff(90,plain,
inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74),
inference(unit_resolution,[status(thm)],[89,16]) ).
tff(91,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) )
<=> ( inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(93,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(monotonicity,[status(thm)],[92]) ).
tff(94,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ) ),
inference(transitivity,[status(thm)],[93,91]) ).
tff(95,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74) ),
inference(quant_inst,[status(thm)],[]) ).
tff(96,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x53_y74,c_georegion_l3_x17_y24)
| ~ inregion(c_geolocation_x53_y74,c_georegion_l4_x53_y74)
| ~ inregion(c_georegion_l4_x53_y74,c_georegion_l3_x17_y24) ),
inference(modus_ponens,[status(thm)],[95,94]) ).
tff(97,plain,
$false,
inference(unit_resolution,[status(thm)],[96,90,84,72,26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR074+3 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 12:57:33 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.67/2.87 % SZS status Theorem
% 2.67/2.87 % SZS output start Proof
% See solution above
% 2.86/3.06 % E exiting
%------------------------------------------------------------------------------