TSTP Solution File: CSR029+4 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR029+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 14:27:10 EDT 2022
% Result : Theorem 144.25s 94.14s
% Output : Proof 145.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 57
% Syntax : Number of formulae : 117 ( 23 unt; 11 typ; 0 def)
% Number of atoms : 489 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 625 ( 273 ~; 227 |; 43 &)
% ( 65 <=>; 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 : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 2 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_x4_y13_type,type,
c_georegion_l3_x4_y13: $i ).
tff(c_georegion_l4_x14_y39_type,type,
c_georegion_l4_x14_y39: $i ).
tff(geographicalsubregions_type,type,
geographicalsubregions: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member3_mt_type,type,
c_tptpgeo_member3_mt: $i ).
tff(geolevel_3_type,type,
geolevel_3: $i > $o ).
tff(c_geolocation_x14_y39_type,type,
c_geolocation_x14_y39: $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+3.ax',ax3_18015) ).
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,
( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
<=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
( ( $false
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) )
<=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( ~ ( mtvisible(c_tptpgeo_member3_mt)
=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) )
<=> ~ ( ~ mtvisible(c_tptpgeo_member3_mt)
| ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
~ ( mtvisible(c_tptpgeo_member3_mt)
=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query179) ).
tff(16,plain,
~ ( ~ mtvisible(c_tptpgeo_member3_mt)
| ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(or_elim,[status(thm)],[16]) ).
tff(18,plain,
( mtvisible(c_tptpgeo_member3_mt)
<=> $true ),
inference(iff_true,[status(thm)],[17]) ).
tff(19,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[18]) ).
tff(20,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
<=> $false ),
inference(transitivity,[status(thm)],[19,13]) ).
tff(21,plain,
( ( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) )
<=> ( $false
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(22,plain,
( ( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) )
<=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(transitivity,[status(thm)],[21,12]) ).
tff(23,plain,
( ( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) )
<=> ( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ) ),
inference(rewrite,[status(thm)],]) ).
tff(24,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_7771) ).
tff(25,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(modus_ponens,[status(thm)],[24,23]) ).
tff(26,plain,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(modus_ponens,[status(thm)],[25,22]) ).
tff(27,plain,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(modus_ponens,[status(thm)],[26,11]) ).
tff(28,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(29,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ),
inference(quant_inst,[status(thm)],]) ).
tff(30,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ),
inference(modus_ponens,[status(thm)],[29,28]) ).
tff(31,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(unit_resolution,[status(thm)],[30,27,10]) ).
tff(32,plain,
( mtvisible(c_tptpgeo_member3_mt)
<=> mtvisible(c_tptpgeo_member3_mt) ),
inference(rewrite,[status(thm)],]) ).
tff(33,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(modus_ponens,[status(thm)],[17,32]) ).
tff(34,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(35,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)],[34]) ).
tff(36,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(37,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)],[36]) ).
tff(38,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(39,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(40,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)],[39]) ).
tff(41,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_44208) ).
tff(42,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[44,37]) ).
tff(46,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[45,35]) ).
tff(47,plain,
( genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
<=> genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ),
inference(rewrite,[status(thm)],]) ).
tff(48,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_1891) ).
tff(49,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(modus_ponens,[status(thm)],[48,47]) ).
tff(50,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(51,plain,
( ( mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt) )
<=> ( ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(52,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[51]) ).
tff(53,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[52,50]) ).
tff(54,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt) ),
inference(quant_inst,[status(thm)],]) ).
tff(55,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[54,53]) ).
tff(56,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(unit_resolution,[status(thm)],[55,49,46,33]) ).
tff(57,plain,
( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
<=> genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ),
inference(rewrite,[status(thm)],]) ).
tff(58,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_11699) ).
tff(59,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(modus_ponens,[status(thm)],[58,57]) ).
tff(60,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(61,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(62,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)],[61,60]) ).
tff(63,plain,
mtvisible(c_worldgeographymt),
inference(unit_resolution,[status(thm)],[62,59,46,56]) ).
tff(64,plain,
( ( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) )
<=> ( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(65,plain,
( ( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) )
<=> ( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(66,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_11398) ).
tff(67,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[66,65]) ).
tff(68,plain,
( geolevel_3(c_georegion_l3_x4_y13)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[67,64]) ).
tff(69,plain,
geolevel_3(c_georegion_l3_x4_y13),
inference(unit_resolution,[status(thm)],[68,63]) ).
tff(70,plain,
( ~ ~ ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) )
<=> ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(71,plain,
( ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) )
<=> ~ ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(72,plain,
( ~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) )
<=> ~ ~ ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(monotonicity,[status(thm)],[71]) ).
tff(73,plain,
( ~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) )
<=> ( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(transitivity,[status(thm)],[72,70]) ).
tff(74,plain,
( ~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) )
<=> ~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(75,plain,
~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ),
inference(or_elim,[status(thm)],[16]) ).
tff(76,plain,
~ ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ),
inference(modus_ponens,[status(thm)],[75,74]) ).
tff(77,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ geolevel_3(c_georegion_l3_x4_y13) ),
inference(modus_ponens,[status(thm)],[76,73]) ).
tff(78,plain,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(unit_resolution,[status(thm)],[77,69]) ).
tff(79,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(80,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(81,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)],[80]) ).
tff(82,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(83,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(84,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)],[83]) ).
tff(85,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_43403) ).
tff(86,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[85,84]) ).
tff(87,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[86,82]) ).
tff(88,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(skolemize,[status(sab)],[87]) ).
tff(89,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[88,81]) ).
tff(90,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[89,79]) ).
tff(91,plain,
( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
<=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(rewrite,[status(thm)],]) ).
tff(92,plain,
( ( $false
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(rewrite,[status(thm)],]) ).
tff(93,plain,
( ( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> ( $false
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ) ),
inference(monotonicity,[status(thm)],[20]) ).
tff(94,plain,
( ( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(transitivity,[status(thm)],[93,92]) ).
tff(95,plain,
( ( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> ( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ) ),
inference(rewrite,[status(thm)],]) ).
tff(96,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+3.ax',ax3_4349) ).
tff(97,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(modus_ponens,[status(thm)],[97,94]) ).
tff(99,plain,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(modus_ponens,[status(thm)],[98,91]) ).
tff(100,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(101,plain,
( ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(rewrite,[status(thm)],]) ).
tff(102,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(monotonicity,[status(thm)],[101]) ).
tff(103,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ) ),
inference(transitivity,[status(thm)],[102,100]) ).
tff(104,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(quant_inst,[status(thm)],]) ).
tff(105,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
| ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ),
inference(modus_ponens,[status(thm)],[104,103]) ).
tff(106,plain,
$false,
inference(unit_resolution,[status(thm)],[105,99,90,78,31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : CSR029+4 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n025.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 : Tue Aug 30 16:44:15 EDT 2022
% 0.12/0.33 % 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.
% 144.25/94.14 % SZS status Theorem
% 144.25/94.14 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------