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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SET055+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 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 : n010.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 08:29:06 AM UTC 2026

% Result   : Theorem 7.01s 8.81s
% Output   : Refutation 7.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    4 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(1,conjecture,
    ! [A: $i] : ( A = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] : ( A = A ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(46,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(47,plain,
    $false,
    inference(simp,[status(thm)],[46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SET055+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.13  % 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
% 0.25/5.52  % Computer : n010.cluster.edu
% 0.25/5.52  % Model    : x86_64 x86_64
% 0.25/5.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/5.52  % Memory   : 8046.5625MB
% 0.25/5.52  % OS       : Linux 6.8.0-71-generic
% 0.25/5.52  % CPULimit : 300
% 0.25/5.52  % WCLimit  : 300
% 0.25/5.52  % DateTime : Sat Sep 26 07:00:36 UTC 2026
% 0.25/5.53  % CPUTime  : 
% 0.25/5.53  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
% 1.35/6.43  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 2.44/6.80  % [INFO] 	 Parsing done (365ms). 
% 2.44/6.83  % [INFO] 	 Running in sequential loop mode. 
% 3.58/7.47  % [INFO] 	 eprover registered as external prover. 
% 3.58/7.48  % [INFO] 	 Scanning for conjecture ... 
% 3.96/7.64  % [INFO] 	 Found a conjecture (or negated_conjecture) and 43 axioms. Running axiom selection ... 
% 3.96/7.70  % [INFO] 	 Axiom selection finished. Selected 43 axioms (removed 0 axioms). 
% 4.36/7.83  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 4.36/7.85  % [INFO] 	 Type checking passed. 
% 4.36/7.86  % [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 ... 
% 7.01/8.80  % [INFO] 	 Killing All external provers ... 
% 7.01/8.80  % Time passed: 3060ms (effective reasoning time: 1964ms)
% 7.01/8.80  % 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)>
% 7.01/8.80  % Axioms used in derivation (0): 
% 7.01/8.80  % No. of inferences in proof: 4
% 7.01/8.81  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3060 ms resp. 1964 ms w/o parsing
% 7.01/8.83  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.01/8.83  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------