%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:00:13 AM UTC 2026
% Result : Theorem 3.95s 2.44s
% Output : Refutation 3.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 22
% Syntax : Number of formulae : 46 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 170 ( 2 ~; 0 |; 6 &; 131 @)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 46 !; 0 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptpgeo_member7_mt_decl,type,
c_tptpgeo_member7_mt: $i ).
thf(geographicalsubregions_decl,type,
geographicalsubregions: $i > $i > $o ).
thf(c_georegion_l2_x5_y8_decl,type,
c_georegion_l2_x5_y8: $i ).
thf(c_georegion_l4_x45_y72_decl,type,
c_georegion_l4_x45_y72: $i ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(c_geographymt_decl,type,
c_geographymt: $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(c_worldgeographymt_decl,type,
c_worldgeographymt: $i ).
thf(c_tptpgeo_spindleheadmt_decl,type,
c_tptpgeo_spindleheadmt: $i ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(geographicalregion_decl,type,
geographicalregion: $i > $o ).
thf(c_georegion_l3_x15_y24_decl,type,
c_georegion_l3_x15_y24: $i ).
thf(19,axiom,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l3_x15_y24 @ ( c_georegion_l2_x5_y8 @ geographicalsubregions ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).
thf(56,plain,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l3_x15_y24 @ ( c_georegion_l2_x5_y8 @ geographicalsubregions ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ geographicalsubregions ) )
& ( B @ ( A @ geographicalsubregions ) ) )
=> ( C @ ( A @ geographicalsubregions ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(52,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ geographicalsubregions ) )
& ( B @ ( A @ geographicalsubregions ) ) )
=> ( C @ ( A @ geographicalsubregions ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just58) ).
thf(46,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ geographicalsubregions ) )
=> ( A @ geographicalregion ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(61,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ geographicalsubregions ) )
=> ( A @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(21,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).
thf(60,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just60) ).
thf(41,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(11,axiom,
c_worldgeographymt @ ( c_tptpgeo_spindleheadmt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).
thf(44,plain,
c_worldgeographymt @ ( c_tptpgeo_spindleheadmt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).
thf(39,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
c_basekb @ ( c_geographymt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
thf(35,plain,
c_basekb @ ( c_geographymt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(14,axiom,
c_tptpgeo_spindleheadmt @ ( c_tptpgeo_member7_mt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).
thf(48,plain,
c_tptpgeo_spindleheadmt @ ( c_tptpgeo_member7_mt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(16,axiom,
! [A: $i] :
( ( A @ geographicalregion )
=> ( A @ ( A @ geographicalsubregions ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(50,plain,
! [A: $i] :
( ( A @ geographicalregion )
=> ( A @ ( A @ geographicalsubregions ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ geographicalsubregions ) )
=> ( B @ geographicalregion ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(58,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ geographicalsubregions ) )
=> ( B @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(1,conjecture,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x45_y72 @ ( c_georegion_l2_x5_y8 @ geographicalsubregions ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query37) ).
thf(2,negated_conjecture,
~ ( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x45_y72 @ ( c_georegion_l2_x5_y8 @ geographicalsubregions ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(24,plain,
~ ( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x45_y72 @ ( c_georegion_l2_x5_y8 @ geographicalsubregions ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just62) ).
thf(37,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just64) ).
thf(28,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just63) ).
thf(33,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
thf(45,plain,
c_universalvocabularymt @ ( c_basekb @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,axiom,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x45_y72 @ ( c_georegion_l3_x15_y24 @ geographicalsubregions ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).
thf(64,plain,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x45_y72 @ ( c_georegion_l3_x15_y24 @ geographicalsubregions ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(54,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).
thf(49,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(7,axiom,
c_geographymt @ ( c_worldgeographymt @ genlmt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just2) ).
thf(36,plain,
c_geographymt @ ( c_worldgeographymt @ genlmt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just61) ).
thf(30,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(66,plain,
$false,
inference(e,[status(thm)],[56,52,46,61,60,41,44,39,35,48,50,58,24,37,28,33,45,64,54,49,36,30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.14/0.40 % Computer : n018.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 00:09:37 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.98 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.48/1.21 % [INFO] Parsing done (232ms).
% 1.48/1.23 % [INFO] Running in sequential loop mode.
% 2.14/1.64 % [INFO] eprover registered as external prover.
% 2.14/1.65 % [INFO] Scanning for conjecture ...
% 2.38/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 65 axioms. Running axiom selection ...
% 2.56/1.81 % [INFO] Axiom selection finished. Selected 21 axioms (removed 44 axioms).
% 2.56/1.85 % [INFO] Problem is first-order (TPTP FOF).
% 2.56/1.85 % [INFO] Type checking passed.
% 2.56/1.86 % [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 ...
% 3.95/2.43 % External prover 'e' found a proof!
% 3.95/2.43 % [INFO] Killing All external provers ...
% 3.95/2.43 % Time passed: 1891ms (effective reasoning time: 1203ms)
% 3.95/2.44 % 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)>
% 3.95/2.44 % Axioms used in derivation (21): just62, just64, just10, just8, just57, just35, just63, just12, just11, just56, just34, just1, just59, just60, just13, just61, just33, just32, just65, just58, just2
% 3.95/2.44 % No. of inferences in proof: 46
% 3.95/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1891 ms resp. 1203 ms w/o parsing
% 3.95/2.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.95/2.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------