%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR033+3 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 05:01:20 AM UTC 2025
% Result : Theorem 11.42s 11.61s
% Output : Proof 11.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 68
% Syntax : Number of formulae : 147 ( 33 unt; 0 typ; 0 def)
% Number of atoms : 729 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1008 ( 457 ~; 411 |; 43 &)
% ( 76 <=>; 21 =>; 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 : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 248 ( 232 !; 0 ?; 248 :)
% Comments :
%------------------------------------------------------------------------------
tff(inregion_type,type,
inregion: ( $i * $i ) > $o ).
tff(c_georegion_l3_x25_y7_type,type,
c_georegion_l3_x25_y7: $i ).
tff(c_geolocation_x76_y23_type,type,
c_geolocation_x76_y23: $i ).
tff(c_georegion_l4_x76_y23_type,type,
c_georegion_l4_x76_y23: $i ).
tff(geographicalsubregions_type,type,
geographicalsubregions: ( $i * $i ) > $o ).
tff(mtvisible_type,type,
mtvisible: $i > $o ).
tff(c_tptpgeo_member2_mt_type,type,
c_tptpgeo_member2_mt: $i ).
tff(c_tptpgeo_spindlecollectormt_type,type,
c_tptpgeo_spindlecollectormt: $i ).
tff(geolevel_1_type,type,
geolevel_1: $i > $o ).
tff(c_georegion_l1_x2_y0_type,type,
c_georegion_l1_x2_y0: $i ).
tff(genlmt_type,type,
genlmt: ( $i * $i ) > $o ).
tff(c_georegion_l2_x8_y2_type,type,
c_georegion_l2_x8_y2: $i ).
tff(c_worldgeographymt_type,type,
c_worldgeographymt: $i ).
tff(c_tptpgeo_spindleheadmt_type,type,
c_tptpgeo_spindleheadmt: $i ).
tff(c_tptpgeo_member0_mt_type,type,
c_tptpgeo_member0_mt: $i ).
tff(1,plain,
( mtvisible(c_tptpgeo_spindlecollectormt)
<=> mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) )
<=> ~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query133) ).
tff(4,plain,
~ ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,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(8,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)],[7]) ).
tff(9,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(10,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)],[9]) ).
tff(11,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(12,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(13,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)],[12]) ).
tff(14,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).
tff(15,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[14,13]) ).
tff(16,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(modus_ponens,[status(thm)],[15,11]) ).
tff(17,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) ) ),
inference(skolemize,[status(sab)],[16]) ).
tff(18,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[17,10]) ).
tff(19,plain,
! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) ),
inference(modus_ponens,[status(thm)],[18,8]) ).
tff(20,plain,
( genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt)
<=> genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(21,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_232) ).
tff(22,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(modus_ponens,[status(thm)],[21,20]) ).
tff(23,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(24,plain,
( ( mtvisible(c_tptpgeo_member2_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(25,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ) ),
inference(monotonicity,[status(thm)],[24]) ).
tff(26,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ) ),
inference(transitivity,[status(thm)],[25,23]) ).
tff(27,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(28,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member2_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt) ),
inference(modus_ponens,[status(thm)],[27,26]) ).
tff(29,plain,
mtvisible(c_tptpgeo_member2_mt),
inference(unit_resolution,[status(thm)],[28,22,19,6]) ).
tff(30,plain,
( ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(31,plain,
( ( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(32,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2573) ).
tff(33,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
inference(modus_ponens,[status(thm)],[32,31]) ).
tff(34,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
inference(modus_ponens,[status(thm)],[33,30]) ).
tff(35,plain,
geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23),
inference(unit_resolution,[status(thm)],[34,29]) ).
tff(36,plain,
^ [ARG1: $i,ARG2: $i] :
refl(( ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
<=> ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) )),
inference(bind,[status(th)],[]) ).
tff(37,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)],[36]) ).
tff(38,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(39,plain,
^ [ARG1: $i,ARG2: $i] :
rewrite(( ( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) )
<=> ( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ) )),
inference(bind,[status(th)],[]) ).
tff(40,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)],[39]) ).
tff(41,axiom,
! [ARG1: $i,ARG2: $i] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1935) ).
tff(42,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[41,40]) ).
tff(43,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[42,38]) ).
tff(44,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(skolemize,[status(sab)],[43]) ).
tff(45,plain,
! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(modus_ponens,[status(thm)],[44,37]) ).
tff(46,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(47,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7) ),
inference(quant_inst,[status(thm)],[]) ).
tff(48,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[47,46]) ).
tff(49,plain,
inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7),
inference(unit_resolution,[status(thm)],[48,45,35]) ).
tff(50,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(51,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(52,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)],[51]) ).
tff(53,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(54,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(55,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)],[54]) ).
tff(56,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(57,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[56,55]) ).
tff(58,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(modus_ponens,[status(thm)],[57,53]) ).
tff(59,plain,
! [X: $i,Y: $i,Z: $i] :
( ~ ( inregion(X,Y)
& inregion(Y,Z) )
| inregion(X,Z) ),
inference(skolemize,[status(sab)],[58]) ).
tff(60,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[59,52]) ).
tff(61,plain,
! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) ),
inference(modus_ponens,[status(thm)],[60,50]) ).
tff(62,plain,
( ( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(63,plain,
( ( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(64,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2962) ).
tff(65,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
inference(modus_ponens,[status(thm)],[64,63]) ).
tff(66,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
inference(modus_ponens,[status(thm)],[65,62]) ).
tff(67,plain,
inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23),
inference(unit_resolution,[status(thm)],[66,29]) ).
tff(68,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(69,plain,
( ( inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) )
<=> ( ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(70,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(monotonicity,[status(thm)],[69]) ).
tff(71,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(transitivity,[status(thm)],[70,68]) ).
tff(72,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
inference(quant_inst,[status(thm)],[]) ).
tff(73,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[72,71]) ).
tff(74,plain,
inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7),
inference(unit_resolution,[status(thm)],[73,67,61,49]) ).
tff(75,plain,
( ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(76,plain,
( ( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(77,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1039) ).
tff(78,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(modus_ponens,[status(thm)],[78,75]) ).
tff(80,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(unit_resolution,[status(thm)],[79,29]) ).
tff(81,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(82,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0) ),
inference(quant_inst,[status(thm)],[]) ).
tff(83,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0) ),
inference(modus_ponens,[status(thm)],[82,81]) ).
tff(84,plain,
inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[83,80,45]) ).
tff(85,plain,
( ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(86,plain,
( ( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) )
<=> ( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(87,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_438) ).
tff(88,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[88,85]) ).
tff(90,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
inference(unit_resolution,[status(thm)],[89,29]) ).
tff(91,plain,
( ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) )
<=> ( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(92,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) ),
inference(quant_inst,[status(thm)],[]) ).
tff(93,plain,
( ~ ! [ARG1: $i,ARG2: $i] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) )
| ~ geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) ),
inference(modus_ponens,[status(thm)],[92,91]) ).
tff(94,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
inference(unit_resolution,[status(thm)],[93,90,45]) ).
tff(95,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(96,plain,
( ( inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) )
<=> ( ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(97,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) ) ),
inference(monotonicity,[status(thm)],[96]) ).
tff(98,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) ) ),
inference(transitivity,[status(thm)],[97,95]) ).
tff(99,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2) ),
inference(quant_inst,[status(thm)],[]) ).
tff(100,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| ~ inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0) ),
inference(modus_ponens,[status(thm)],[99,98]) ).
tff(101,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[100,61,94,84]) ).
tff(102,plain,
( genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt)
<=> genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ),
inference(rewrite,[status(thm)],[]) ).
tff(103,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_214) ).
tff(104,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt),
inference(modus_ponens,[status(thm)],[103,102]) ).
tff(105,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(106,plain,
( ( mtvisible(c_tptpgeo_member0_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(107,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ) ),
inference(monotonicity,[status(thm)],[106]) ).
tff(108,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ) ),
inference(transitivity,[status(thm)],[107,105]) ).
tff(109,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(110,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member0_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member0_mt) ),
inference(modus_ponens,[status(thm)],[109,108]) ).
tff(111,plain,
mtvisible(c_tptpgeo_member0_mt),
inference(unit_resolution,[status(thm)],[110,104,19,6]) ).
tff(112,plain,
( genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt)
<=> genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ),
inference(rewrite,[status(thm)],[]) ).
tff(113,axiom,
genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_568) ).
tff(114,plain,
genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt),
inference(modus_ponens,[status(thm)],[113,112]) ).
tff(115,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(116,plain,
( ( mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member0_mt) )
<=> ( ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(117,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member0_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ) ),
inference(monotonicity,[status(thm)],[116]) ).
tff(118,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member0_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ) ),
inference(transitivity,[status(thm)],[117,115]) ).
tff(119,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member0_mt) ),
inference(quant_inst,[status(thm)],[]) ).
tff(120,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_member0_mt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member0_mt,c_tptpgeo_spindleheadmt) ),
inference(modus_ponens,[status(thm)],[119,118]) ).
tff(121,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(unit_resolution,[status(thm)],[120,114,111,19]) ).
tff(122,plain,
( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
<=> genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ),
inference(rewrite,[status(thm)],[]) ).
tff(123,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_1111) ).
tff(124,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(modus_ponens,[status(thm)],[123,122]) ).
tff(125,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(126,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(127,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)],[126,125]) ).
tff(128,plain,
mtvisible(c_worldgeographymt),
inference(unit_resolution,[status(thm)],[127,124,19,121]) ).
tff(129,plain,
( ( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) )
<=> ( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(130,plain,
( ( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) )
<=> ( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(131,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+2.ax',ax2_2024) ).
tff(132,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[131,130]) ).
tff(133,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[132,129]) ).
tff(134,plain,
geolevel_1(c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[133,128]) ).
tff(135,plain,
( ~ ~ ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) )
<=> ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(136,plain,
( ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) )
<=> ~ ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(137,plain,
( ~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) )
<=> ~ ~ ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(monotonicity,[status(thm)],[136]) ).
tff(138,plain,
( ~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) )
<=> ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(transitivity,[status(thm)],[137,135]) ).
tff(139,plain,
( ~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) )
<=> ~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(140,plain,
~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ),
inference(or_elim,[status(thm)],[4]) ).
tff(141,plain,
~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ),
inference(modus_ponens,[status(thm)],[140,139]) ).
tff(142,plain,
( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ),
inference(modus_ponens,[status(thm)],[141,138]) ).
tff(143,plain,
~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[142,134]) ).
tff(144,plain,
( ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) )
<=> ( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(145,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ),
inference(quant_inst,[status(thm)],[]) ).
tff(146,plain,
( ~ ! [X: $i,Y: $i,Z: $i] :
( inregion(X,Z)
| ~ inregion(Y,Z)
| ~ inregion(X,Y) )
| inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0)
| ~ inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[145,144]) ).
tff(147,plain,
$false,
inference(unit_resolution,[status(thm)],[146,61,143,101,74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR033+3 : TPTP v9.0.0. Released v3.4.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.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 12:32:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 11.42/11.61 % SZS status Theorem
% 11.42/11.61 % SZS output start Proof
% See solution above
% 11.59/11.82 % E exiting
%------------------------------------------------------------------------------