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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEV383^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n013.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 : Wed Sep 30 08:37:12 AM UTC 2026

% Result   : Theorem 3.06s 2.01s
% Output   : Refutation 3.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :    2 (   0 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   12 (   7   ~;   0   |;   0   &;   5   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    2 (   1 usr;   2 con; 0-0 aty)
%            Number of variables   :    5 (   0   ^;   2   !;   3   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_decl,type,
    a: $i ).

thf(1,conjecture,
    ? [A: $i > $o] :
      ~ ( A @ a ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE_FENG_7) ).

thf(2,negated_conjecture,
    ~ ? [A: $i > $o] :
        ~ ( A @ a ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ? [A: $i > $o] :
        ~ ( A @ a ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ~ ~ ! [A: $i > $o] : ( A @ a ),
    inference(miniscope,[status(thm)],[3]) ).

thf(5,plain,
    ! [A: $i > $o] : ( A @ a ),
    inference(cnf,[status(esa)],[4]) ).

thf(7,plain,
    $false,
    inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).

thf(12,plain,
    $false,
    inference(simp,[status(thm)],[7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV383^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.10/0.21  % Computer : n013.cluster.edu
% 0.10/0.21  % Model    : x86_64 x86_64
% 0.10/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21  % Memory   : 8046.5625MB
% 0.10/0.21  % OS       : Linux 6.8.0-71-generic
% 0.10/0.21  % CPULimit : 300
% 0.10/0.21  % WCLimit  : 300
% 0.10/0.21  % DateTime : Tue Sep 29 15:42:36 UTC 2026
% 0.10/0.21  % CPUTime  : 
% 0.10/0.21  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
% 0.88/0.79  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.22/0.97  % [INFO] 	 Parsing done (182ms). 
% 1.22/0.99  % [INFO] 	 Running in sequential loop mode. 
% 2.01/1.40  % [INFO] 	 eprover registered as external prover. 
% 2.01/1.41  % [INFO] 	 Scanning for conjecture ... 
% 2.01/1.49  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.19/1.52  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.19/1.52  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.19/1.53  % [INFO] 	 Type checking passed. 
% 2.19/1.53  % [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 ... 
% 3.06/2.00  % [INFO] 	 Killing All external provers ... 
% 3.06/2.00  % Time passed: 1652ms (effective reasoning time: 1004ms)
% 3.06/2.00  % 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)>
% 3.06/2.00  % Axioms used in derivation (0): 
% 3.06/2.00  % No. of inferences in proof: 7
% 3.06/2.01  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1652 ms resp. 1004 ms w/o parsing
% 3.06/2.03  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.06/2.03  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------