TSTP Solution File: CSR029+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.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 May 7 10:28:29 EDT 2024
% Result : Theorem 23.03s 4.59s
% Output : Refutation 23.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 63 ( 14 unt; 11 typ; 0 def)
% Number of atoms : 115 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 255 ( 42 ~; 29 |; 7 &; 162 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 33 ( 0 ^ 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_type,type,
mtvisible: $i > $o ).
thf(c_tptpgeo_member3_mt_type,type,
c_tptpgeo_member3_mt: $i ).
thf(inregion_type,type,
inregion: $i > $i > $o ).
thf(c_geolocation_x14_y39_type,type,
c_geolocation_x14_y39: $i ).
thf(c_georegion_l3_x4_y13_type,type,
c_georegion_l3_x4_y13: $i ).
thf(geolevel_3_type,type,
geolevel_3: $i > $o ).
thf(genlmt_type,type,
genlmt: $i > $i > $o ).
thf(c_tptpgeo_spindleheadmt_type,type,
c_tptpgeo_spindleheadmt: $i ).
thf(c_worldgeographymt_type,type,
c_worldgeographymt: $i ).
thf(geographicalsubregions_type,type,
geographicalsubregions: $i > $i > $o ).
thf(c_georegion_l4_x14_y39_type,type,
c_georegion_l4_x14_y39: $i ).
thf(43,axiom,
( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just11) ).
thf(129,plain,
( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(130,plain,
( ~ ( mtvisible @ c_tptpgeo_member3_mt )
| ( geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39 ) ),
inference(cnf,[status(esa)],[129]) ).
thf(1,conjecture,
( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 )
& ( geolevel_3 @ c_georegion_l3_x4_y13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query29) ).
thf(2,negated_conjecture,
~ ( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 )
& ( geolevel_3 @ c_georegion_l3_x4_y13 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(46,plain,
~ ( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 )
& ( geolevel_3 @ c_georegion_l3_x4_y13 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(48,plain,
mtvisible @ c_tptpgeo_member3_mt,
inference(cnf,[status(esa)],[46]) ).
thf(193,plain,
( ~ $true
| ( geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39 ) ),
inference(rewrite,[status(thm)],[130,48]) ).
thf(194,plain,
geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39,
inference(simp,[status(thm)],[193]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( geographicalsubregions @ A @ B )
=> ( inregion @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just5) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( geographicalsubregions @ A @ B )
=> ( inregion @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(134,plain,
! [B: $i,A: $i] :
( ~ ( geographicalsubregions @ A @ B )
| ( inregion @ B @ A ) ),
inference(cnf,[status(esa)],[133]) ).
thf(1585,plain,
! [B: $i,A: $i] :
( ( inregion @ B @ A )
| ( ( geographicalsubregions @ c_georegion_l3_x4_y13 @ c_georegion_l4_x14_y39 )
!= ( geographicalsubregions @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[194,134]) ).
thf(1586,plain,
inregion @ c_georegion_l4_x14_y39 @ c_georegion_l3_x4_y13,
inference(pattern_uni,[status(thm)],[1585:[bind(A,$thf( c_georegion_l3_x4_y13 )),bind(B,$thf( c_georegion_l4_x14_y39 ))]]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( inregion @ A @ B )
& ( inregion @ B @ C ) )
=> ( inregion @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just41) ).
thf(131,plain,
! [A: $i,B: $i,C: $i] :
( ( ( inregion @ A @ B )
& ( inregion @ B @ C ) )
=> ( inregion @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(132,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( inregion @ A @ B )
| ~ ( inregion @ B @ C )
| ( inregion @ A @ C ) ),
inference(cnf,[status(esa)],[131]) ).
thf(42,axiom,
( ( mtvisible @ c_worldgeographymt )
=> ( geolevel_3 @ c_georegion_l3_x4_y13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just10) ).
thf(127,plain,
( ( mtvisible @ c_worldgeographymt )
=> ( geolevel_3 @ c_georegion_l3_x4_y13 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(128,plain,
( ~ ( mtvisible @ c_worldgeographymt )
| ( geolevel_3 @ c_georegion_l3_x4_y13 ) ),
inference(cnf,[status(esa)],[127]) ).
thf(47,plain,
( ~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 )
| ~ ( geolevel_3 @ c_georegion_l3_x4_y13 ) ),
inference(cnf,[status(esa)],[46]) ).
thf(140,plain,
( ~ ( mtvisible @ c_worldgeographymt )
| ~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 )
| ( ( geolevel_3 @ c_georegion_l3_x4_y13 )
!= ( geolevel_3 @ c_georegion_l3_x4_y13 ) ) ),
inference(paramod_ordered,[status(thm)],[128,47]) ).
thf(141,plain,
( ~ ( mtvisible @ c_worldgeographymt )
| ~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 ) ),
inference(pattern_uni,[status(thm)],[140:[]]) ).
thf(11,axiom,
genlmt @ c_tptpgeo_spindleheadmt @ c_worldgeographymt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just8) ).
thf(65,plain,
genlmt @ c_tptpgeo_spindleheadmt @ c_worldgeographymt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just49) ).
thf(109,plain,
! [A: $i,B: $i] :
( ( ( mtvisible @ A )
& ( genlmt @ A @ B ) )
=> ( mtvisible @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(110,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ~ ( genlmt @ A @ B )
| ( mtvisible @ B ) ),
inference(cnf,[status(esa)],[109]) ).
thf(1214,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptpgeo_spindleheadmt @ c_worldgeographymt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[65,110]) ).
thf(1215,plain,
( ~ ( mtvisible @ c_tptpgeo_spindleheadmt )
| ( mtvisible @ c_worldgeographymt ) ),
inference(pattern_uni,[status(thm)],[1214:[bind(A,$thf( c_tptpgeo_spindleheadmt )),bind(B,$thf( c_worldgeographymt ))]]) ).
thf(41,axiom,
genlmt @ c_tptpgeo_member3_mt @ c_tptpgeo_spindleheadmt,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
thf(126,plain,
genlmt @ c_tptpgeo_member3_mt @ c_tptpgeo_spindleheadmt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(1234,plain,
! [B: $i,A: $i] :
( ~ ( mtvisible @ A )
| ( mtvisible @ B )
| ( ( genlmt @ c_tptpgeo_member3_mt @ c_tptpgeo_spindleheadmt )
!= ( genlmt @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[126,110]) ).
thf(1235,plain,
( ~ ( mtvisible @ c_tptpgeo_member3_mt )
| ( mtvisible @ c_tptpgeo_spindleheadmt ) ),
inference(pattern_uni,[status(thm)],[1234:[bind(A,$thf( c_tptpgeo_member3_mt )),bind(B,$thf( c_tptpgeo_spindleheadmt ))]]) ).
thf(1366,plain,
( ~ $true
| ( mtvisible @ c_tptpgeo_spindleheadmt ) ),
inference(rewrite,[status(thm)],[1235,48]) ).
thf(1367,plain,
mtvisible @ c_tptpgeo_spindleheadmt,
inference(simp,[status(thm)],[1366]) ).
thf(1370,plain,
( ~ $true
| ( mtvisible @ c_worldgeographymt ) ),
inference(rewrite,[status(thm)],[1215,1367]) ).
thf(1371,plain,
mtvisible @ c_worldgeographymt,
inference(simp,[status(thm)],[1370]) ).
thf(1430,plain,
( ~ $true
| ~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 ) ),
inference(rewrite,[status(thm)],[141,1371]) ).
thf(1431,plain,
~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 ),
inference(simp,[status(thm)],[1430]) ).
thf(1559,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( inregion @ A @ B )
| ~ ( inregion @ B @ C )
| ( ( inregion @ A @ C )
!= ( inregion @ c_geolocation_x14_y39 @ c_georegion_l3_x4_y13 ) ) ),
inference(paramod_ordered,[status(thm)],[132,1431]) ).
thf(1560,plain,
! [A: $i] :
( ~ ( inregion @ c_geolocation_x14_y39 @ A )
| ~ ( inregion @ A @ c_georegion_l3_x4_y13 ) ),
inference(pattern_uni,[status(thm)],[1559:[bind(A,$thf( c_geolocation_x14_y39 )),bind(B,$thf( B )),bind(C,$thf( c_georegion_l3_x4_y13 ))]]) ).
thf(1564,plain,
! [A: $i] :
( ~ ( inregion @ c_geolocation_x14_y39 @ A )
| ~ ( inregion @ A @ c_georegion_l3_x4_y13 ) ),
inference(simp,[status(thm)],[1560]) ).
thf(2682,plain,
! [A: $i] :
( ~ ( inregion @ c_geolocation_x14_y39 @ A )
| ( ( inregion @ c_georegion_l4_x14_y39 @ c_georegion_l3_x4_y13 )
!= ( inregion @ A @ c_georegion_l3_x4_y13 ) ) ),
inference(paramod_ordered,[status(thm)],[1586,1564]) ).
thf(2683,plain,
~ ( inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39 ),
inference(pattern_uni,[status(thm)],[2682:[bind(A,$thf( c_georegion_l4_x14_y39 ))]]) ).
thf(33,axiom,
( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
thf(111,plain,
( ( mtvisible @ c_tptpgeo_member3_mt )
=> ( inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(112,plain,
( ~ ( mtvisible @ c_tptpgeo_member3_mt )
| ( inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39 ) ),
inference(cnf,[status(esa)],[111]) ).
thf(165,plain,
( ~ $true
| ( inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39 ) ),
inference(rewrite,[status(thm)],[112,48]) ).
thf(166,plain,
inregion @ c_geolocation_x14_y39 @ c_georegion_l4_x14_y39,
inference(simp,[status(thm)],[165]) ).
thf(2720,plain,
~ $true,
inference(rewrite,[status(thm)],[2683,166]) ).
thf(2721,plain,
$false,
inference(simp,[status(thm)],[2720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.03/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n029.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 6 23:25:09 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.95/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.05 % [INFO] Parsing done (147ms).
% 1.47/1.06 % [INFO] Running in sequential loop mode.
% 1.93/1.27 % [INFO] nitpick registered as external prover.
% 1.93/1.27 % [INFO] Scanning for conjecture ...
% 1.93/1.33 % [INFO] Found a conjecture and 57 axioms. Running axiom selection ...
% 2.21/1.38 % [INFO] Axiom selection finished. Selected 43 axioms (removed 14 axioms).
% 2.21/1.42 % [INFO] Problem is first-order (TPTP FOF).
% 2.21/1.43 % [INFO] Type checking passed.
% 2.21/1.43 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 23.03/4.57 % [INFO] Killing All external provers ...
% 23.03/4.58 % Time passed: 4040ms (effective reasoning time: 3515ms)
% 23.03/4.58 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 23.03/4.59 % Axioms used in derivation (8): just10, just8, just12, just11, just49, just41, just5, just9
% 23.03/4.59 % No. of inferences in proof: 52
% 23.03/4.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4040 ms resp. 3515 ms w/o parsing
% 23.03/4.68 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 23.03/4.68 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------