TSTP Solution File: CSR029+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : CSR029+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %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 : 600s
% DateTime : Fri Jul 15 21:56:40 EDT 2022
% Result : Theorem 5.41s 5.58s
% Output : CNFRefutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 59 ( 23 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 92 ( 41 ~; 32 |; 8 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 30 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1_121,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_3(c_georegion_l3_x4_y13) ) ).
fof(ax1_128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ) ).
fof(ax1_212,axiom,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) ).
fof(ax1_282,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ) ).
fof(ax1_326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) ).
fof(ax1_337,axiom,
( mtvisible(c_tptpgeo_member3_mt)
=> geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ) ).
fof(ax1_933,axiom,
! [X,Y,Z] :
( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) ) ).
fof(ax1_1123,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ) ).
fof(query79,conjecture,
( mtvisible(c_tptpgeo_member3_mt)
=> ( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& geolevel_3(c_georegion_l3_x4_y13) ) ) ).
fof(subgoal_0,plain,
( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(strip,[],[query79]) ).
fof(subgoal_1,plain,
( ( mtvisible(c_tptpgeo_member3_mt)
& inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
=> geolevel_3(c_georegion_l3_x4_y13) ),
inference(strip,[],[query79]) ).
fof(negate_0_0,plain,
~ ( mtvisible(c_tptpgeo_member3_mt)
=> inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(canonicalize,[],[ax1_282]) ).
fof(normalize_0_1,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& mtvisible(c_tptpgeo_member3_mt) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_2,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(canonicalize,[],[ax1_337]) ).
fof(normalize_0_4,plain,
! [ARG1,ARG2] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(canonicalize,[],[ax1_128]) ).
fof(normalize_0_5,plain,
! [ARG1,ARG2] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y,Z] :
( ~ inregion(X,Y)
| ~ inregion(Y,Z)
| inregion(X,Z) ),
inference(canonicalize,[],[ax1_933]) ).
fof(normalize_0_7,plain,
! [X,Y,Z] :
( ~ inregion(X,Y)
| ~ inregion(Y,Z)
| inregion(X,Z) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) ),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_member3_mt) )],[refute_0_1,refute_0_0]) ).
cnf(refute_0_3,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_4,plain,
geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_member3_mt) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_6,plain,
( ~ geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39)
| inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) ),
inference(subst,[],[refute_0_5:[bind(ARG1,$fot(c_georegion_l3_x4_y13)),bind(ARG2,$fot(c_georegion_l4_x14_y39))]]) ).
cnf(refute_0_7,plain,
inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[$cnf( geographicalsubregions(c_georegion_l3_x4_y13,c_georegion_l4_x14_y39) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ inregion(X,Y)
| ~ inregion(Y,Z)
| inregion(X,Z) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_9,plain,
( ~ inregion(X_17587,c_georegion_l4_x14_y39)
| ~ inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13)
| inregion(X_17587,c_georegion_l3_x4_y13) ),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_17587)),bind(Y,$fot(c_georegion_l4_x14_y39)),bind(Z,$fot(c_georegion_l3_x4_y13))]]) ).
cnf(refute_0_10,plain,
( ~ inregion(X_17587,c_georegion_l4_x14_y39)
| inregion(X_17587,c_georegion_l3_x4_y13) ),
inference(resolve,[$cnf( inregion(c_georegion_l4_x14_y39,c_georegion_l3_x4_y13) )],[refute_0_7,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39)
| inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) ),
inference(subst,[],[refute_0_10:[bind(X_17587,$fot(c_geolocation_x14_y39))]]) ).
cnf(refute_0_12,plain,
inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(resolve,[$cnf( inregion(c_geolocation_x14_y39,c_georegion_l4_x14_y39) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
~ inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
$false,
inference(resolve,[$cnf( inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )],[refute_0_12,refute_0_13]) ).
fof(negate_1_0,plain,
~ ( ( mtvisible(c_tptpgeo_member3_mt)
& inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13) )
=> geolevel_3(c_georegion_l3_x4_y13) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(canonicalize,[],[ax1_326]) ).
fof(normalize_1_1,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[ax1_1123]) ).
fof(normalize_1_2,plain,
! [GENLMT,SPECMT] :
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(specialize,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(canonicalize,[],[ax1_212]) ).
fof(normalize_1_4,plain,
( ~ geolevel_3(c_georegion_l3_x4_y13)
& inregion(c_geolocation_x14_y39,c_georegion_l3_x4_y13)
& mtvisible(c_tptpgeo_member3_mt) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_5,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
( ~ mtvisible(c_worldgeographymt)
| geolevel_3(c_georegion_l3_x4_y13) ),
inference(canonicalize,[],[ax1_121]) ).
fof(normalize_1_7,plain,
~ geolevel_3(c_georegion_l3_x4_y13),
inference(conjunct,[],[normalize_1_4]) ).
cnf(refute_1_0,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(canonicalize,[],[normalize_1_0]) ).
cnf(refute_1_1,plain,
( ~ genlmt(SPECMT,GENLMT)
| ~ mtvisible(SPECMT)
| mtvisible(GENLMT) ),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_2,plain,
( ~ genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt)
| ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(subst,[],[refute_1_1:[bind(GENLMT,$fot(c_worldgeographymt)),bind(SPECMT,$fot(c_tptpgeo_spindleheadmt))]]) ).
cnf(refute_1_3,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolve,[$cnf( genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) )],[refute_1_0,refute_1_2]) ).
cnf(refute_1_4,plain,
genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_5,plain,
( ~ genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt)
| ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(subst,[],[refute_1_1:[bind(GENLMT,$fot(c_tptpgeo_spindleheadmt)),bind(SPECMT,$fot(c_tptpgeo_member3_mt))]]) ).
cnf(refute_1_6,plain,
( ~ mtvisible(c_tptpgeo_member3_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolve,[$cnf( genlmt(c_tptpgeo_member3_mt,c_tptpgeo_spindleheadmt) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
mtvisible(c_tptpgeo_member3_mt),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_8,plain,
mtvisible(c_tptpgeo_spindleheadmt),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_member3_mt) )],[refute_1_7,refute_1_6]) ).
cnf(refute_1_9,plain,
mtvisible(c_worldgeographymt),
inference(resolve,[$cnf( mtvisible(c_tptpgeo_spindleheadmt) )],[refute_1_8,refute_1_3]) ).
cnf(refute_1_10,plain,
( ~ mtvisible(c_worldgeographymt)
| geolevel_3(c_georegion_l3_x4_y13) ),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_11,plain,
~ geolevel_3(c_georegion_l3_x4_y13),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_12,plain,
~ mtvisible(c_worldgeographymt),
inference(resolve,[$cnf( geolevel_3(c_georegion_l3_x4_y13) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
$false,
inference(resolve,[$cnf( mtvisible(c_worldgeographymt) )],[refute_1_9,refute_1_12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR029+2 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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 : 600
% 0.12/0.33 % DateTime : Sat Jun 11 10:04:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.41/5.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.41/5.58
% 5.41/5.58 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.41/5.58
%------------------------------------------------------------------------------