TSTP Solution File: CSR033+2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR033+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 Apr 30 20:14:27 EDT 2024
% Result : Theorem 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 90 ( 14 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 180 ( 77 ~; 76 |; 5 &)
% ( 12 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 13 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [ARG1,ARG2] :
( geographicalsubregions(ARG1,ARG2)
=> inregion(ARG2,ARG1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f273,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f291,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f292,axiom,
( mtvisible(c_worldgeographymt)
=> geolevel_1(c_georegion_l1_x2_y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f300,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f326,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f355,axiom,
( mtvisible(c_tptpgeo_member2_mt)
=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f933,axiom,
! [X,Y,Z] :
( ( inregion(X,Y)
& inregion(Y,Z) )
=> inregion(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1123,axiom,
! [SPECMT,GENLMT] :
( ( mtvisible(SPECMT)
& genlmt(SPECMT,GENLMT) )
=> mtvisible(GENLMT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1131,axiom,
mtvisible(c_universalvocabularymt),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1132,conjecture,
( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1133,negated_conjecture,
~ ( mtvisible(c_tptpgeo_spindlecollectormt)
=> ( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
& geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(negated_conjecture,[status(cth)],[f1132]) ).
fof(f1134,plain,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f1160,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f1161,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
inference(cnf_transformation,[status(esa)],[f1160]) ).
fof(f1320,plain,
! [ARG1,ARG2] :
( ~ geographicalsubregions(ARG1,ARG2)
| inregion(ARG2,ARG1) ),
inference(pre_NNF_transformation,[status(esa)],[f128]) ).
fof(f1321,plain,
! [X0,X1] :
( ~ geographicalsubregions(X0,X1)
| inregion(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f1320]) ).
fof(f1531,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member2_mt),
inference(cnf_transformation,[status(esa)],[f273]) ).
fof(f1557,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f1558,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
inference(cnf_transformation,[status(esa)],[f1557]) ).
fof(f1559,plain,
( ~ mtvisible(c_worldgeographymt)
| geolevel_1(c_georegion_l1_x2_y0) ),
inference(pre_NNF_transformation,[status(esa)],[f292]) ).
fof(f1560,plain,
( ~ mtvisible(c_worldgeographymt)
| geolevel_1(c_georegion_l1_x2_y0) ),
inference(cnf_transformation,[status(esa)],[f1559]) ).
fof(f1572,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
inference(pre_NNF_transformation,[status(esa)],[f300]) ).
fof(f1573,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
inference(cnf_transformation,[status(esa)],[f1572]) ).
fof(f1611,plain,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(cnf_transformation,[status(esa)],[f326]) ).
fof(f1650,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
inference(pre_NNF_transformation,[status(esa)],[f355]) ).
fof(f1651,plain,
( ~ mtvisible(c_tptpgeo_member2_mt)
| inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
inference(cnf_transformation,[status(esa)],[f1650]) ).
fof(f1671,plain,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member8_mt),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f2765,plain,
! [X,Y,Z] :
( ~ inregion(X,Y)
| ~ inregion(Y,Z)
| inregion(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f933]) ).
fof(f2766,plain,
! [X,Z] :
( ! [Y] :
( ~ inregion(X,Y)
| ~ inregion(Y,Z) )
| inregion(X,Z) ),
inference(miniscoping,[status(esa)],[f2765]) ).
fof(f2767,plain,
! [X0,X1,X2] :
( ~ inregion(X0,X1)
| ~ inregion(X1,X2)
| inregion(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f2766]) ).
fof(f3181,plain,
! [SPECMT,GENLMT] :
( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT)
| mtvisible(GENLMT) ),
inference(pre_NNF_transformation,[status(esa)],[f1123]) ).
fof(f3182,plain,
! [GENLMT] :
( ! [SPECMT] :
( ~ mtvisible(SPECMT)
| ~ genlmt(SPECMT,GENLMT) )
| mtvisible(GENLMT) ),
inference(miniscoping,[status(esa)],[f3181]) ).
fof(f3183,plain,
! [X0,X1] :
( ~ mtvisible(X0)
| ~ genlmt(X0,X1)
| mtvisible(X1) ),
inference(cnf_transformation,[status(esa)],[f3182]) ).
fof(f3203,plain,
mtvisible(c_universalvocabularymt),
inference(cnf_transformation,[status(esa)],[f1131]) ).
fof(f3204,plain,
( mtvisible(c_tptpgeo_spindlecollectormt)
& ( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1133]) ).
fof(f3205,plain,
mtvisible(c_tptpgeo_spindlecollectormt),
inference(cnf_transformation,[status(esa)],[f3204]) ).
fof(f3206,plain,
( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ geolevel_1(c_georegion_l1_x2_y0) ),
inference(cnf_transformation,[status(esa)],[f3204]) ).
fof(f3207,plain,
( spl0_0
<=> mtvisible(c_tptpgeo_member2_mt) ),
introduced(split_symbol_definition) ).
fof(f3210,plain,
( spl0_1
<=> geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2) ),
introduced(split_symbol_definition) ).
fof(f3211,plain,
( geographicalsubregions(c_georegion_l1_x2_y0,c_georegion_l2_x8_y2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f3210]) ).
fof(f3213,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f1161,f3207,f3210]) ).
fof(f3275,plain,
( spl0_19
<=> mtvisible(c_worldgeographymt) ),
introduced(split_symbol_definition) ).
fof(f3371,plain,
( spl0_45
<=> geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7) ),
introduced(split_symbol_definition) ).
fof(f3372,plain,
( geographicalsubregions(c_georegion_l2_x8_y2,c_georegion_l3_x25_y7)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f3371]) ).
fof(f3374,plain,
( ~ spl0_0
| spl0_45 ),
inference(split_clause,[status(thm)],[f1558,f3207,f3371]) ).
fof(f3375,plain,
( spl0_46
<=> geolevel_1(c_georegion_l1_x2_y0) ),
introduced(split_symbol_definition) ).
fof(f3378,plain,
( ~ spl0_19
| spl0_46 ),
inference(split_clause,[status(thm)],[f1560,f3275,f3375]) ).
fof(f3379,plain,
( spl0_47
<=> geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23) ),
introduced(split_symbol_definition) ).
fof(f3380,plain,
( geographicalsubregions(c_georegion_l3_x25_y7,c_georegion_l4_x76_y23)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f3379]) ).
fof(f3382,plain,
( ~ spl0_0
| spl0_47 ),
inference(split_clause,[status(thm)],[f1573,f3207,f3379]) ).
fof(f3410,plain,
( spl0_55
<=> inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23) ),
introduced(split_symbol_definition) ).
fof(f3411,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l4_x76_y23)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f3410]) ).
fof(f3413,plain,
( ~ spl0_0
| spl0_55 ),
inference(split_clause,[status(thm)],[f1651,f3207,f3410]) ).
fof(f3479,plain,
( spl0_73
<=> inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0) ),
introduced(split_symbol_definition) ).
fof(f3481,plain,
( ~ inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| spl0_73 ),
inference(component_clause,[status(thm)],[f3479]) ).
fof(f3482,plain,
( ~ spl0_73
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f3206,f3479,f3375]) ).
fof(f3483,plain,
( spl0_74
<=> mtvisible(c_tptpgeo_spindlecollectormt) ),
introduced(split_symbol_definition) ).
fof(f3485,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| spl0_74 ),
inference(component_clause,[status(thm)],[f3483]) ).
fof(f3486,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member2_mt) ),
inference(resolution,[status(thm)],[f3183,f1531]) ).
fof(f3487,plain,
( ~ spl0_74
| spl0_0 ),
inference(split_clause,[status(thm)],[f3486,f3483,f3207]) ).
fof(f3488,plain,
( $false
| spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f3485,f3205]) ).
fof(f3489,plain,
spl0_74,
inference(contradiction_clause,[status(thm)],[f3488]) ).
fof(f3490,plain,
( spl0_75
<=> mtvisible(c_tptpgeo_member8_mt) ),
introduced(split_symbol_definition) ).
fof(f3493,plain,
( spl0_76
<=> mtvisible(c_tptpgeo_spindleheadmt) ),
introduced(split_symbol_definition) ).
fof(f3496,plain,
( ~ mtvisible(c_tptpgeo_member8_mt)
| mtvisible(c_tptpgeo_spindleheadmt) ),
inference(resolution,[status(thm)],[f1134,f3183]) ).
fof(f3497,plain,
( ~ spl0_75
| spl0_76 ),
inference(split_clause,[status(thm)],[f3496,f3490,f3493]) ).
fof(f3499,plain,
( inregion(c_georegion_l2_x8_y2,c_georegion_l1_x2_y0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f3211,f1321]) ).
fof(f3500,plain,
( inregion(c_georegion_l3_x25_y7,c_georegion_l2_x8_y2)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f3372,f1321]) ).
fof(f3501,plain,
( inregion(c_georegion_l4_x76_y23,c_georegion_l3_x25_y7)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f3380,f1321]) ).
fof(f3502,plain,
! [X0] :
( ~ inregion(X0,c_georegion_l2_x8_y2)
| inregion(X0,c_georegion_l1_x2_y0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f3499,f2767]) ).
fof(f3503,plain,
! [X0] :
( ~ inregion(X0,c_georegion_l3_x25_y7)
| inregion(X0,c_georegion_l2_x8_y2)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f3500,f2767]) ).
fof(f3504,plain,
! [X0] :
( ~ inregion(X0,c_georegion_l4_x76_y23)
| inregion(X0,c_georegion_l3_x25_y7)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f3501,f2767]) ).
fof(f3508,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l3_x25_y7)
| ~ spl0_47
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f3504,f3411]) ).
fof(f3511,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l2_x8_y2)
| ~ spl0_47
| ~ spl0_55
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f3508,f3503]) ).
fof(f3532,plain,
( inregion(c_geolocation_x76_y23,c_georegion_l1_x2_y0)
| ~ spl0_47
| ~ spl0_55
| ~ spl0_45
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f3511,f3502]) ).
fof(f3533,plain,
( $false
| spl0_73
| ~ spl0_47
| ~ spl0_55
| ~ spl0_45
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f3532,f3481]) ).
fof(f3534,plain,
( spl0_73
| ~ spl0_47
| ~ spl0_55
| ~ spl0_45
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f3533]) ).
fof(f3590,plain,
( spl0_92
<=> mtvisible(c_universalvocabularymt) ),
introduced(split_symbol_definition) ).
fof(f3592,plain,
( ~ mtvisible(c_universalvocabularymt)
| spl0_92 ),
inference(component_clause,[status(thm)],[f3590]) ).
fof(f3598,plain,
( $false
| spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f3592,f3203]) ).
fof(f3599,plain,
spl0_92,
inference(contradiction_clause,[status(thm)],[f3598]) ).
fof(f3950,plain,
( ~ mtvisible(c_tptpgeo_spindleheadmt)
| mtvisible(c_worldgeographymt) ),
inference(resolution,[status(thm)],[f1611,f3183]) ).
fof(f3951,plain,
( ~ spl0_76
| spl0_19 ),
inference(split_clause,[status(thm)],[f3950,f3493,f3275]) ).
fof(f4028,plain,
( ~ mtvisible(c_tptpgeo_spindlecollectormt)
| mtvisible(c_tptpgeo_member8_mt) ),
inference(resolution,[status(thm)],[f1671,f3183]) ).
fof(f4029,plain,
( ~ spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f4028,f3483,f3490]) ).
fof(f4030,plain,
$false,
inference(sat_refutation,[status(thm)],[f3213,f3374,f3378,f3382,f3413,f3482,f3487,f3489,f3497,f3534,f3599,f3951,f4029]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : CSR033+2 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8042.1875MB
% 0.10/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Apr 29 23:46:48 EDT 2024
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V3.6.0
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.44 % Elapsed time: 0.063806 seconds
% 0.17/0.44 % CPU time: 0.144077 seconds
% 0.17/0.44 % Total memory used: 44.473 MB
% 0.17/0.44 % Net memory used: 44.328 MB
%------------------------------------------------------------------------------