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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : n026.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 08:00:48 AM UTC 2026

% Result   : Unsatisfiable 3.80s 2.46s
% Output   : Refutation 3.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   55 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  158 (  22   ~;  36   |;   0   &; 100   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  13 usr;   9 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(organization_decl,type,
    organization: $i > $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(has_immunity_decl,type,
    has_immunity: $i > $i > $o ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(hazard_of_mortality_decl,type,
    hazard_of_mortality: $i > $i > $i ).

thf(is_aligned_decl,type,
    is_aligned: $i > $i > $o ).

thf(positional_advantage_decl,type,
    positional_advantage: $i > $i > $o ).

thf(high_decl,type,
    high: $i ).

thf(very_low_decl,type,
    very_low: $i ).

thf(low_decl,type,
    low: $i ).

thf(mod2_decl,type,
    mod2: $i ).

thf(mod1_decl,type,
    mod1: $i ).

thf(1,negated_conjecture,
    sk1 @ organization,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_37) ).

thf(10,plain,
    sk1 @ organization,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(8,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = mod2 )
      | ( B @ ( A @ positional_advantage ) )
      | ~ ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_35) ).

thf(25,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = mod2 )
      | ( B @ ( A @ positional_advantage ) )
      | ~ ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(9,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = mod1 )
      | ~ ( B @ ( A @ positional_advantage ) )
      | ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_34) ).

thf(28,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = mod1 )
      | ~ ( B @ ( A @ positional_advantage ) )
      | ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,negated_conjecture,
    ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
   != ( sk3 @ ( sk1 @ hazard_of_mortality ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_40) ).

thf(13,plain,
    ( ( sk2 @ ( sk1 @ hazard_of_mortality ) )
   != ( sk3 @ ( sk1 @ hazard_of_mortality ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(7,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = low )
      | ~ ( B @ ( A @ positional_advantage ) )
      | ~ ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_33) ).

thf(22,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = low )
      | ~ ( B @ ( A @ positional_advantage ) )
      | ~ ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(3,negated_conjecture,
    sk3 @ ( sk1 @ has_immunity ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_39) ).

thf(12,plain,
    sk3 @ ( sk1 @ has_immunity ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = high )
      | ( B @ ( A @ positional_advantage ) )
      | ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_36) ).

thf(16,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = high )
      | ( B @ ( A @ positional_advantage ) )
      | ( B @ ( A @ is_aligned ) )
      | ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(2,negated_conjecture,
    sk2 @ ( sk1 @ has_immunity ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_38) ).

thf(11,plain,
    sk2 @ ( sk1 @ has_immunity ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(6,axiom,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = very_low )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_32) ).

thf(19,plain,
    ! [B: $i,A: $i] :
      ( ( ( B @ ( A @ hazard_of_mortality ) )
        = very_low )
      | ~ ( B @ ( A @ has_immunity ) )
      | ~ ( A @ organization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(45,plain,
    $false,
    inference(e,[status(thm)],[10,25,28,13,22,12,16,11,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% 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
% 0.19/0.65  % Computer : n026.cluster.edu
% 0.19/0.65  % Model    : x86_64 x86_64
% 0.19/0.65  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.65  % Memory   : 8046.5625MB
% 0.19/0.65  % OS       : Linux 6.8.0-71-generic
% 0.19/0.65  % CPULimit : 300
% 0.19/0.65  % WCLimit  : 300
% 0.19/0.65  % DateTime : Sat Sep 26 00:13:26 UTC 2026
% 0.19/0.66  % CPUTime  : 
% 0.19/0.66  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
% 1.17/1.38  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.64/1.67  % [INFO] 	 Parsing done (284ms). 
% 1.64/1.69  % [INFO] 	 Running in sequential loop mode. 
% 2.37/2.01  % [INFO] 	 eprover registered as external prover. 
% 2.37/2.01  % [INFO] 	 Scanning for conjecture ... 
% 2.71/2.06  % [INFO] 	 Found a conjecture (or negated_conjecture) and 16 axioms. Running axiom selection ... 
% 2.71/2.09  % [INFO] 	 Axiom selection finished. Selected 5 axioms (removed 11 axioms). 
% 2.71/2.10  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.71/2.10  % [INFO] 	 Type checking passed. 
% 2.71/2.11  % [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 ... 
% 3.80/2.46  % External prover 'e' found a proof!
% 3.80/2.46  % [INFO] 	 Killing All external provers ... 
% 3.80/2.46  % Time passed: 1599ms (effective reasoning time: 763ms)
% 3.80/2.46  % Axioms used in derivation (5): assumption_17_33, assumption_17_34, assumption_17_36, assumption_17_35, assumption_17_32
% 3.80/2.46  % No. of inferences in proof: 19
% 3.80/2.46  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1599 ms resp. 763 ms w/o parsing
% 3.80/2.48  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/2.48  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------