%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n007.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 07:00:51 AM UTC 2026
% Result : Theorem 4.95s 2.87s
% Output : Refutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of formulae : 36 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 138 ( 4 ~; 0 |; 4 &; 103 @)
% ( 0 <=>; 27 =>; 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 : 12 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 44 ( 0 ^; 44 !; 0 ?; 44 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptpgeo_spindlecollectormt_decl,type,
c_tptpgeo_spindlecollectormt: $i ).
thf(borderson_decl,type,
borderson: $i > $i > $o ).
thf(c_georegion_l4_x57_y47_decl,type,
c_georegion_l4_x57_y47: $i ).
thf(c_georegion_l4_x56_y47_decl,type,
c_georegion_l4_x56_y47: $i ).
thf(microtheory_decl,type,
microtheory: $i > $o ).
thf(genlmt_decl,type,
genlmt: $i > $i > $o ).
thf(c_tptpgeo_member5_mt_decl,type,
c_tptpgeo_member5_mt: $i ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(geographicalregion_decl,type,
geographicalregion: $i > $o ).
thf(c_universalvocabularymt_decl,type,
c_universalvocabularymt: $i ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just31) ).
thf(52,plain,
! [A: $i,B: $i] :
( ( ( B @ ( A @ genlmt ) )
& ( A @ mtvisible ) )
=> ( B @ mtvisible ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just35) ).
thf(29,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(10,axiom,
! [A: $i] :
~ ( A @ ( A @ borderson ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just30) ).
thf(39,plain,
! [A: $i] :
~ ( A @ ( A @ borderson ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(12,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(43,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just38) ).
thf(23,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( B @ geographicalregion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(47,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( B @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,axiom,
c_tptpgeo_member5_mt @ ( c_tptpgeo_spindlecollectormt @ genlmt ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(42,plain,
c_tptpgeo_member5_mt @ ( c_tptpgeo_spindlecollectormt @ 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/sandbox/benchmark/theBenchmark.p',just33) ).
thf(37,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just36) ).
thf(25,plain,
! [A: $i,B: $i,C: $i] :
( ( ( C @ ( B @ genlmt ) )
& ( B @ ( A @ genlmt ) ) )
=> ( C @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just37) ).
thf(32,plain,
! [A: $i] :
( ( A @ microtheory )
=> ( A @ ( A @ genlmt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
thf(34,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( A @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ geographicalregion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just32) ).
thf(27,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ genlmt ) )
=> ( B @ microtheory ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(18,axiom,
( ( c_tptpgeo_member5_mt @ mtvisible )
=> ( c_georegion_l4_x57_y47 @ ( c_georegion_l4_x56_y47 @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just2) ).
thf(54,plain,
( ( c_tptpgeo_member5_mt @ mtvisible )
=> ( c_georegion_l4_x57_y47 @ ( c_georegion_l4_x56_y47 @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ ( B @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(49,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ ( B @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(16,axiom,
c_universalvocabularymt @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just39) ).
thf(51,plain,
c_universalvocabularymt @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(1,conjecture,
( ( c_tptpgeo_spindlecollectormt @ mtvisible )
=> ( c_georegion_l4_x56_y47 @ ( c_georegion_l4_x57_y47 @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query59) ).
thf(2,negated_conjecture,
~ ( ( c_tptpgeo_spindlecollectormt @ mtvisible )
=> ( c_georegion_l4_x56_y47 @ ( c_georegion_l4_x57_y47 @ borderson ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(19,plain,
~ ( ( c_tptpgeo_spindlecollectormt @ mtvisible )
=> ( c_georegion_l4_x56_y47 @ ( c_georegion_l4_x57_y47 @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(56,plain,
$false,
inference(e,[status(thm)],[52,29,39,43,23,47,42,37,25,32,34,44,27,54,49,51,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/0.40 % Computer : n007.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 00:24:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.85/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.39/1.24 % [INFO] Parsing done (282ms).
% 1.39/1.26 % [INFO] Running in sequential loop mode.
% 2.39/1.76 % [INFO] eprover registered as external prover.
% 2.39/1.77 % [INFO] Scanning for conjecture ...
% 2.61/1.89 % [INFO] Found a conjecture (or negated_conjecture) and 39 axioms. Running axiom selection ...
% 2.81/1.98 % [INFO] Axiom selection finished. Selected 16 axioms (removed 23 axioms).
% 2.81/2.03 % [INFO] Problem is first-order (TPTP FOF).
% 2.81/2.04 % [INFO] Type checking passed.
% 2.81/2.04 % [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 ...
% 4.95/2.86 % External prover 'e' found a proof!
% 4.95/2.86 % [INFO] Killing All external provers ...
% 4.95/2.86 % Time passed: 2350ms (effective reasoning time: 1587ms)
% 4.95/2.86 % 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)>
% 4.95/2.86 % Axioms used in derivation (16): just36, just28, just26, just35, just27, just31, just34, just30, just29, just37, just33, just2, just1, just38, just32, just39
% 4.95/2.86 % No. of inferences in proof: 36
% 4.95/2.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2350 ms resp. 1587 ms w/o parsing
% 5.37/2.94 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.37/2.94 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------