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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : LAT267-1 : TPTP v9.3.1. Released v3.2.0.
% 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 : n019.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 07:46:53 AM UTC 2026

% Result   : Unsatisfiable 11.65s 4.35s
% Output   : Refutation 11.65s
% 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 :   18 (   3   ~;   0   |;   0   &;  15   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   4 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_S_decl,type,
    v_S: $i ).

thf(t_a_decl,type,
    t_a: $i ).

thf(c_in_decl,type,
    c_in: $i > $i > $i > $o ).

thf(v_x_decl,type,
    v_x: $i ).

thf(2,negated_conjecture,
    t_a @ ( v_S @ ( v_x @ c_in ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(350,plain,
    t_a @ ( v_S @ ( v_x @ c_in ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,negated_conjecture,
    ~ ( t_a @ ( v_S @ ( v_x @ c_in ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(351,plain,
    ~ ( t_a @ ( v_S @ ( v_x @ c_in ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(352,plain,
    ~ ( t_a @ ( v_S @ ( v_x @ c_in ) ) ),
    inference(polarity_switch,[status(thm)],[351]) ).

thf(1129,plain,
    $false,
    inference(rewrite,[status(thm)],[350,352]) ).

thf(1130,plain,
    $false,
    inference(simp,[status(thm)],[1129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT267-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07  % 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
% 0.13/0.37  % Computer : n019.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Fri Sep 25 20:22:03 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  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
% 0.85/1.00  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 2.59/1.52  % [INFO] 	 Parsing done (517ms). 
% 2.59/1.53  % [INFO] 	 Running in sequential loop mode. 
% 3.28/1.91  % [INFO] 	 eprover registered as external prover. 
% 3.28/1.92  % [INFO] 	 Scanning for conjecture ... 
% 4.34/2.22  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2749 axioms. Running axiom selection ... 
% 5.47/2.51  % [INFO] 	 Axiom selection finished. Selected 345 axioms (removed 2404 axioms). 
% 6.01/2.70  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 6.01/2.72  % [INFO] 	 Type checking passed. 
% 6.01/2.72  % [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 ... 
% 11.65/4.35  % [INFO] 	 Killing All external provers ... 
% 11.65/4.35  % Time passed: 3809ms (effective reasoning time: 2806ms)
% 11.65/4.35  % Axioms used in derivation (0): 
% 11.65/4.35  % No. of inferences in proof: 7
% 11.65/4.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3809 ms resp. 2806 ms w/o parsing
% 11.65/4.38  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.65/4.38  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------