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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : TIM032_1 : TPTP v9.3.1. Released v9.3.0.
% 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 : n004.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 09:52:18 AM UTC 2026

% Result   : Theorem 4.01s 2.41s
% Output   : Refutation 4.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   12 (   2   ~;   0   |;   0   &;  10   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(interval_type,type,
    interval: $tType ).

thf(meets_decl,type,
    meets: interval > interval > $o ).

thf(a_decl,type,
    a: interval ).

thf(b_decl,type,
    b: interval ).

thf(11,axiom,
    b @ ( a @ meets ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).

thf(57,plain,
    b @ ( a @ meets ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,conjecture,
    b @ ( a @ meets ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

thf(2,negated_conjecture,
    ~ ( b @ ( a @ meets ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(15,plain,
    ~ ( b @ ( a @ meets ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(61,plain,
    $false,
    inference(rewrite,[status(thm)],[57,15]) ).

thf(62,plain,
    $false,
    inference(simp,[status(thm)],[61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : TIM032_1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.15/0.41  % Computer : n004.cluster.edu
% 0.15/0.41  % Model    : x86_64 x86_64
% 0.15/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41  % Memory   : 8046.5625MB
% 0.15/0.41  % OS       : Linux 6.8.0-71-generic
% 0.15/0.41  % CPULimit : 300
% 0.15/0.41  % WCLimit  : 300
% 0.15/0.41  % DateTime : Sat Sep 26 20:29:37 UTC 2026
% 0.15/0.41  % CPUTime  : 
% 0.15/0.41  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
% 0.88/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.42/1.21  % [INFO] 	 Parsing done (203ms). 
% 1.42/1.22  % [INFO] 	 Running in sequential loop mode. 
% 2.16/1.63  % [INFO] 	 eprover registered as external prover. 
% 2.16/1.64  % [INFO] 	 Scanning for conjecture ... 
% 2.37/1.73  % [INFO] 	 Found a conjecture (or negated_conjecture) and 12 axioms. Running axiom selection ... 
% 2.37/1.76  % [INFO] 	 Axiom selection finished. Selected 12 axioms (removed 0 axioms). 
% 2.54/1.80  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 2.54/1.81  % [INFO] 	 Type checking passed. 
% 2.54/1.82  % [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 ... 
% 4.01/2.40  % [INFO] 	 Killing All external provers ... 
% 4.01/2.41  % Time passed: 1845ms (effective reasoning time: 1174ms)
% 4.01/2.41  % 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)>
% 4.01/2.41  % Axioms used in derivation (1): p1
% 4.01/2.41  % No. of inferences in proof: 7
% 4.01/2.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1845 ms resp. 1174 ms w/o parsing
% 4.01/2.43  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.01/2.43  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------