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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT112+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 : n014.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 08:00:56 AM UTC 2026

% Result   : Unsatisfiable 5.58s 3.47s
% Output   : Refutation 5.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   59 (  57 unt;   0 typ;   0 def)
%            Number of atoms       :   73 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   1 avg)
%            Number of connectives :  134 (   2   ~;   0   |;  12   &; 118   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  28 usr;  11 con; 0-3 aty)
%            Number of variables   :   12 (   0   ^;  10   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(proh_decl,type,
    proh: $i > $o ).

thf(aee_decl,type,
    aee: $i > $i > $o ).

thf(aer_decl,type,
    aer: $i > $i > $o ).

thf(act_decl,type,
    act: $i > $i > $o ).

thf(tgt_decl,type,
    tgt: $i > $i > $o ).

thf(disability_decl,type,
    disability: $i > $o ).

thf(bearer_decl,type,
    bearer: $i > $i > $o ).

thf(cnt_decl,type,
    cnt: $i > $i > $i > $o ).

thf(agent_decl,type,
    agent: $i > $o ).

thf(bibliothek_decl,type,
    bibliothek: $i ).

thf(museen_decl,type,
    museen: $i ).

thf(action_decl,type,
    action: $i > $o ).

thf(read_decl,type,
    read: $i ).

thf(target_decl,type,
    target: $i > $o ).

thf(museum_api_decl,type,
    museum_api: $i ).

thf(position_decl,type,
    position: $i > $o ).

thf(l_decl,type,
    l: $i ).

thf(n_decl,type,
    n: $i ).

thf(im_decl,type,
    im: $i ).

thf(db_decl,type,
    db: $i ).

thf(legal_relator_decl,type,
    legal_relator: $i > $o ).

thf(rho1_decl,type,
    rho1: $i ).

thf(odrl_rel_decl,type,
    odrl_rel: $i > $o ).

thf(permission_decl,type,
    permission: $i > $o ).

thf(no_right_decl,type,
    no_right: $i > $o ).

thf(immunity_decl,type,
    immunity: $i > $o ).

thf(rule_decl,type,
    rule: $i > $o ).

thf(f2_decl,type,
    f2: $i ).

thf(26,axiom,
    bibliothek @ ( f2 @ aee ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aee_f2) ).

thf(56,plain,
    bibliothek @ ( f2 @ aee ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(22,axiom,
    museum_api @ ( read @ ( im @ cnt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_im) ).

thf(52,plain,
    museum_api @ ( read @ ( im @ cnt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(23,axiom,
    museum_api @ ( read @ ( db @ cnt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_db) ).

thf(53,plain,
    museum_api @ ( read @ ( db @ cnt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(11,axiom,
    rho1 @ odrl_rel,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odrl_rho1) ).

thf(41,plain,
    rho1 @ odrl_rel,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(9,axiom,
    db @ position,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_db) ).

thf(39,plain,
    db @ position,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(5,axiom,
    museum_api @ target,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',target_museum) ).

thf(35,plain,
    museum_api @ target,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(18,axiom,
    bibliothek @ ( im @ bearer ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_im) ).

thf(48,plain,
    bibliothek @ ( im @ bearer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(20,axiom,
    museum_api @ ( read @ ( l @ cnt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_l) ).

thf(50,plain,
    museum_api @ ( read @ ( l @ cnt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(13,axiom,
    n @ no_right,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_right_n) ).

thf(43,plain,
    n @ no_right,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(28,axiom,
    read @ ( f2 @ act ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',act_f2) ).

thf(58,plain,
    read @ ( f2 @ act ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(17,axiom,
    museen @ ( n @ bearer ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_n) ).

thf(47,plain,
    museen @ ( n @ bearer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(12,axiom,
    l @ permission,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',permission_l) ).

thf(42,plain,
    l @ permission,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(7,axiom,
    n @ position,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_n) ).

thf(37,plain,
    n @ position,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(16,axiom,
    bibliothek @ ( l @ bearer ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_l) ).

thf(46,plain,
    bibliothek @ ( l @ bearer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(27,axiom,
    museen @ ( f2 @ aer ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aer_f2) ).

thf(57,plain,
    museen @ ( f2 @ aer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(8,axiom,
    im @ position,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_im) ).

thf(38,plain,
    im @ position,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(3,axiom,
    museen @ agent,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_museen) ).

thf(33,plain,
    museen @ agent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(15,axiom,
    db @ disability,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disability_db) ).

thf(45,plain,
    db @ disability,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(2,axiom,
    bibliothek @ agent,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agent_bibliothek) ).

thf(32,plain,
    bibliothek @ agent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,axiom,
    read @ action,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',action_read) ).

thf(34,plain,
    read @ action,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(14,axiom,
    im @ immunity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',immunity_im) ).

thf(44,plain,
    im @ immunity,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(29,axiom,
    museum_api @ ( f2 @ tgt ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tgt_f2) ).

thf(59,plain,
    museum_api @ ( f2 @ tgt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(24,axiom,
    f2 @ rule,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_f2) ).

thf(54,plain,
    f2 @ rule,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(19,axiom,
    museen @ ( db @ bearer ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bearer_db) ).

thf(49,plain,
    museen @ ( db @ bearer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(10,axiom,
    rho1 @ legal_relator,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_rho1) ).

thf(40,plain,
    rho1 @ legal_relator,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(25,axiom,
    f2 @ proh,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proh_f2) ).

thf(55,plain,
    f2 @ proh,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(6,axiom,
    l @ position,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pos_l) ).

thf(36,plain,
    l @ position,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( E @ ( A @ tgt ) )
        & ( D @ ( A @ act ) )
        & ( C @ ( A @ aer ) )
        & ( B @ ( A @ aee ) )
        & ( A @ proh ) )
     => ~ ? [F: $i] :
            ( ( E @ ( D @ ( F @ cnt ) ) )
            & ( C @ ( F @ bearer ) )
            & ( F @ disability ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_disability_block) ).

thf(30,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( E @ ( A @ tgt ) )
        & ( D @ ( A @ act ) )
        & ( C @ ( A @ aer ) )
        & ( B @ ( A @ aee ) )
        & ( A @ proh ) )
     => ~ ? [F: $i] :
            ( ( E @ ( D @ ( F @ cnt ) ) )
            & ( C @ ( F @ bearer ) )
            & ( F @ disability ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(21,axiom,
    museum_api @ ( read @ ( n @ cnt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cnt_n) ).

thf(51,plain,
    museum_api @ ( read @ ( n @ cnt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(60,plain,
    $false,
    inference(e,[status(thm)],[56,52,53,41,39,35,48,50,43,58,47,42,37,46,57,38,33,45,32,34,44,59,54,49,40,55,36,30,51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : MGT112+1 : TPTP v9.3.1. Released v9.3.0.
% 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
% 0.22/0.50  % Computer : n014.cluster.edu
% 0.22/0.50  % Model    : x86_64 x86_64
% 0.22/0.50  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.50  % Memory   : 8046.5625MB
% 0.22/0.50  % OS       : Linux 6.8.0-71-generic
% 0.22/0.50  % CPULimit : 300
% 0.22/0.50  % WCLimit  : 300
% 0.22/0.50  % DateTime : Sat Sep 26 00:14:19 UTC 2026
% 0.27/0.50  % CPUTime  : 
% 0.27/0.50  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
% 1.41/1.38  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.95/1.67  % [INFO] 	 Parsing done (284ms). 
% 1.95/1.69  % [INFO] 	 Running in sequential loop mode. 
% 3.15/2.30  % [INFO] 	 eprover registered as external prover. 
% 3.15/2.31  % [INFO] 	 Scanning for conjecture ... 
% 3.15/2.39  % [INFO] 	 29 axioms and no conjecture found. 
% 3.55/2.50  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.55/2.51  % [INFO] 	 Type checking passed. 
% 3.55/2.51  % [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 ... 
% 5.58/3.46  % External prover 'e' found a proof!
% 5.58/3.46  % [INFO] 	 Killing All external provers ... 
% 5.58/3.46  % Time passed: 2747ms (effective reasoning time: 1764ms)
% 5.58/3.47  % Axioms used in derivation (29): bearer_l, odrl_rho1, agent_museen, tgt_f2, proh_f2, action_read, immunity_im, rule_f2, ax_disability_block, agent_bibliothek, pos_l, cnt_n, pos_im, disability_db, cnt_im, no_right_n, permission_l, pos_db, aer_f2, pos_n, bearer_im, bearer_db, cnt_l, rel_rho1, target_museum, act_f2, cnt_db, aee_f2, bearer_n
% 5.58/3.47  % No. of inferences in proof: 59
% 5.58/3.47  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2747 ms resp. 1764 ms w/o parsing
% 5.98/3.56  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.98/3.56  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------