TSTP Solution File: CSR033+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR033+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 14:27:15 EDT 2022
% Result : Theorem 0.76s 0.76s
% Output : Proof 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 82
% Syntax : Number of formulae : 161 ( 33 unt; 15 typ; 0 def)
% Number of atoms : 703 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 961 ( 435 ~; 389 |; 43 &)
% ( 73 <=>; 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 : 8 ( 5 >; 3 *; 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 : 236 ( 220 !; 0 ?; 236 :)
% 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_member8_mt_type,type,
c_tptpgeo_member8_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',query83) ).
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+1.ax',ax1_1123) ).
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+1.ax',ax1_273) ).
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+1.ax',ax1_300) ).
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+1.ax',ax1_128) ).
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+1.ax',ax1_933) ).
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+1.ax',ax1_355) ).
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_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(76,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(77,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_291) ).
tff(78,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[77,76]) ).
tff(79,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(modus_ponens,[status(thm)],[78,75]) ).
tff(80,plain,
geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7),
inference(unit_resolution,[status(thm)],[79,29]) ).
tff(81,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(82,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(83,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)],[82,81]) ).
tff(84,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2),
inference(unit_resolution,[status(thm)],[83,45,80]) ).
tff(85,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(86,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(87,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_18) ).
tff(88,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(modus_ponens,[status(thm)],[87,86]) ).
tff(89,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(modus_ponens,[status(thm)],[88,85]) ).
tff(90,plain,
geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2),
inference(unit_resolution,[status(thm)],[89,29]) ).
tff(91,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(92,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(93,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)],[92,91]) ).
tff(94,plain,
inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0),
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_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_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(rewrite,[status(thm)],]) ).
tff(96,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(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) ),
inference(modus_ponens,[status(thm)],[96,95]) ).
tff(98,plain,
inregion(c_georegion_l3_x25_y7,c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[97,61,94,84]) ).
tff(99,plain,
( genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt)
<=> genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ),
inference(rewrite,[status(thm)],]) ).
tff(100,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_369) ).
tff(101,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(modus_ponens,[status(thm)],[100,99]) ).
tff(102,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(103,plain,
( ( mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(104,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ) ),
inference(monotonicity,[status(thm)],[103]) ).
tff(105,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ) ),
inference(transitivity,[status(thm)],[104,102]) ).
tff(106,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt)
| ~ mtvisible(c_tptpgeo_spindlecollectormt) ),
inference(quant_inst,[status(thm)],]) ).
tff(107,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt)
| ~ genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt) ),
inference(modus_ponens,[status(thm)],[106,105]) ).
tff(108,plain,
mtvisible(c_tptpgeo_member8_mt),
inference(unit_resolution,[status(thm)],[107,101,19,6]) ).
tff(109,plain,
( genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
<=> genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) ),
inference(rewrite,[status(thm)],]) ).
tff(110,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1) ).
tff(111,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(modus_ponens,[status(thm)],[110,109]) ).
tff(112,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(113,plain,
( ( mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) )
<=> ( ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ) ),
inference(rewrite,[status(thm)],]) ).
tff(114,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ) ),
inference(monotonicity,[status(thm)],[113]) ).
tff(115,plain,
( ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) )
<=> ( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ) ),
inference(transitivity,[status(thm)],[114,112]) ).
tff(116,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(quant_inst,[status(thm)],]) ).
tff(117,plain,
( ~ ! [SPECMT: $i,GENLMT: $i] :
( mtvisible(GENLMT)
| ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT) )
| ~ genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt)
| mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(modus_ponens,[status(thm)],[116,115]) ).
tff(118,plain,
( mtvisible(c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member8_mt) ),
inference(unit_resolution,[status(thm)],[117,111,19]) ).
tff(119,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(unit_resolution,[status(thm)],[118,108]) ).
tff(120,plain,
( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
<=> genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ),
inference(rewrite,[status(thm)],]) ).
tff(121,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_326) ).
tff(122,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(modus_ponens,[status(thm)],[121,120]) ).
tff(123,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(124,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(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) ),
inference(modus_ponens,[status(thm)],[124,123]) ).
tff(126,plain,
( mtvisible(c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt) ),
inference(unit_resolution,[status(thm)],[125,122,19]) ).
tff(127,plain,
mtvisible(c_worldgeographymt),
inference(unit_resolution,[status(thm)],[126,119]) ).
tff(128,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(129,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(130,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_292) ).
tff(131,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[130,129]) ).
tff(132,plain,
( geolevel_1(c_georegion_l1_x2_y0)
| ~ mtvisible(c_worldgeographymt) ),
inference(modus_ponens,[status(thm)],[131,128]) ).
tff(133,plain,
geolevel_1(c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[132,127]) ).
tff(134,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(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(monotonicity,[status(thm)],[135]) ).
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(transitivity,[status(thm)],[136,134]) ).
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(rewrite,[status(thm)],]) ).
tff(139,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(140,plain,
~ ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ),
inference(modus_ponens,[status(thm)],[139,138]) ).
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)],[140,137]) ).
tff(142,plain,
~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0),
inference(unit_resolution,[status(thm)],[141,133]) ).
tff(143,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(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) ),
inference(quant_inst,[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(modus_ponens,[status(thm)],[144,143]) ).
tff(146,plain,
$false,
inference(unit_resolution,[status(thm)],[145,61,142,98,74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR033+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 17:15:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.76/0.76 % SZS status Theorem
% 0.76/0.76 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------