%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : GRP137-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 : n020.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 07:20:12 AM UTC 2026
% Result : Unsatisfiable 4.97s 2.96s
% Output : Refutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 16 ( 4 ~; 0 |; 0 &; 12 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_decl,type,
a: $i ).
thf(b_decl,type,
b: $i ).
thf(greatest_lower_bound_decl,type,
greatest_lower_bound: $i > $i > $i ).
thf(16,axiom,
( ( b @ ( a @ greatest_lower_bound ) )
= b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisymb_2) ).
thf(48,plain,
( ( b @ ( a @ greatest_lower_bound ) )
= b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(49,plain,
( ( b @ ( a @ greatest_lower_bound ) )
= b ),
inference(lifteq,[status(thm)],[48]) ).
thf(15,axiom,
( ( b @ ( a @ greatest_lower_bound ) )
= a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_antisymb_1) ).
thf(46,plain,
( ( b @ ( a @ greatest_lower_bound ) )
= a ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(47,plain,
( ( b @ ( a @ greatest_lower_bound ) )
= a ),
inference(lifteq,[status(thm)],[46]) ).
thf(50,plain,
b = a,
inference(rewrite,[status(thm)],[49,47]) ).
thf(1,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ax_antisymb) ).
thf(17,plain,
a != b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(18,plain,
a != b,
inference(polarity_switch,[status(thm)],[17]) ).
thf(19,plain,
b != a,
inference(lifteq,[status(thm)],[18]) ).
thf(51,plain,
$false,
inference(simplifyReflect,[status(thm)],[50,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP137-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.12 % 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
% 0.24/0.49 % Computer : n020.cluster.edu
% 0.24/0.49 % Model : x86_64 x86_64
% 0.24/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49 % Memory : 8046.5625MB
% 0.24/0.49 % OS : Linux 6.8.0-71-generic
% 0.24/0.49 % CPULimit : 300
% 0.24/0.49 % WCLimit : 300
% 0.24/0.50 % DateTime : Fri Sep 25 14:32:03 UTC 2026
% 0.24/0.50 % CPUTime :
% 0.24/0.50 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
% 1.43/1.33 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.99/1.62 % [INFO] Parsing done (286ms).
% 1.99/1.64 % [INFO] Running in sequential loop mode.
% 3.16/2.23 % [INFO] eprover registered as external prover.
% 3.16/2.24 % [INFO] Scanning for conjecture ...
% 3.36/2.32 % [INFO] Found a conjecture (or negated_conjecture) and 17 axioms. Running axiom selection ...
% 3.36/2.37 % [INFO] Axiom selection finished. Selected 15 axioms (removed 2 axioms).
% 3.54/2.40 % [INFO] Problem is propositional (TPTP CNF).
% 3.54/2.41 % [INFO] Type checking passed.
% 3.54/2.41 % [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 ...
% 4.97/2.95 % [INFO] Killing All external provers ...
% 4.97/2.96 % Time passed: 2254ms (effective reasoning time: 1306ms)
% 4.97/2.96 % Axioms used in derivation (2): ax_antisymb_2, ax_antisymb_1
% 4.97/2.96 % No. of inferences in proof: 12
% 4.97/2.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2254 ms resp. 1306 ms w/o parsing
% 4.97/2.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.97/2.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------