%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : CSR042+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 : n026.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 07:00:27 AM UTC 2026
% Result : Theorem 4.54s 2.65s
% Output : Refutation 4.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 27 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 56 ( 4 ~; 0 |; 0 &; 41 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 ^; 14 !; 3 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(mtvisible_decl,type,
mtvisible: $i > $o ).
thf(c_tptpgeo_member7_mt_decl,type,
c_tptpgeo_member7_mt: $i ).
thf(borderson_decl,type,
borderson: $i > $i > $o ).
thf(c_georegion_l4_x27_y64_decl,type,
c_georegion_l4_x27_y64: $i ).
thf(geographicalregion_decl,type,
geographicalregion: $i > $o ).
thf(c_basekb_decl,type,
c_basekb: $i ).
thf(c_georegion_l4_x27_y65_decl,type,
c_georegion_l4_x27_y65: $i ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( B @ geographicalregion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just26) ).
thf(25,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( B @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
! [A: $i] :
~ ( A @ ( A @ borderson ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just29) ).
thf(14,plain,
! [A: $i] :
~ ( A @ ( A @ borderson ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ ( B @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just28) ).
thf(20,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ ( B @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(1,conjecture,
? [A: $i] :
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x27_y64 @ ( A @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query42) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x27_y64 @ ( A @ borderson ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(9,plain,
~ ? [A: $i] :
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x27_y64 @ ( A @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ geographicalregion ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just27) ).
thf(17,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ borderson ) )
=> ( A @ geographicalregion ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(6,axiom,
c_basekb @ mtvisible,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just25) ).
thf(22,plain,
c_basekb @ mtvisible,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x27_y65 @ ( c_georegion_l4_x27_y64 @ borderson ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
thf(23,plain,
( ( c_tptpgeo_member7_mt @ mtvisible )
=> ( c_georegion_l4_x27_y65 @ ( c_georegion_l4_x27_y64 @ borderson ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(27,plain,
$false,
inference(e,[status(thm)],[25,14,20,9,17,22,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR042+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % 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
% 0.12/0.42 % Computer : n026.cluster.edu
% 0.12/0.42 % Model : x86_64 x86_64
% 0.12/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.42 % Memory : 8046.5625MB
% 0.12/0.42 % OS : Linux 6.8.0-71-generic
% 0.12/0.42 % CPULimit : 300
% 0.12/0.42 % WCLimit : 300
% 0.12/0.42 % DateTime : Sun Sep 27 00:14:56 UTC 2026
% 0.12/0.42 % CPUTime :
% 0.12/0.42 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
% 0.83/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.07 % [INFO] Parsing done (186ms).
% 1.32/1.09 % [INFO] Running in sequential loop mode.
% 2.43/1.66 % [INFO] eprover registered as external prover.
% 2.43/1.67 % [INFO] Scanning for conjecture ...
% 2.84/1.81 % [INFO] Found a conjecture (or negated_conjecture) and 29 axioms. Running axiom selection ...
% 3.02/1.90 % [INFO] Axiom selection finished. Selected 6 axioms (removed 23 axioms).
% 3.02/1.92 % [INFO] Problem is first-order (TPTP FOF).
% 3.02/1.93 % [INFO] Type checking passed.
% 3.02/1.94 % [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 ...
% 4.54/2.65 % External prover 'e' found a proof!
% 4.54/2.65 % [INFO] Killing All external provers ...
% 4.54/2.65 % Time passed: 2103ms (effective reasoning time: 1556ms)
% 4.54/2.65 % 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)>
% 4.54/2.65 % Axioms used in derivation (6): just28, just26, just27, just1, just29, just25
% 4.54/2.65 % No. of inferences in proof: 16
% 4.54/2.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2103 ms resp. 1556 ms w/o parsing
% 4.89/2.71 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.89/2.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------