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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n010.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   : Theorem 4.52s 17.35s
% Output   : Refutation 4.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   32 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :   74 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  175 (   2   ~;   0   |;  40   &; 131   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  24 usr;   7 con; 0-3 aty)
%            Number of variables   :   24 (   0   ^;  12   !;  12   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(founds_imm_decl,type,
    founds_imm: $i > $i > $i > $o ).

thf(e1_decl,type,
    e1: $i ).

thf(p1_decl,type,
    p1: $i ).

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

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

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

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

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

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

thf(part_of_decl,type,
    part_of: $i > $i > $o ).

thf(perm_decl,type,
    perm: $i > $o ).

thf(strong_decl,type,
    strong: $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(activates_decl,type,
    activates: $i > $i > $o ).

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

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

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

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

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

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

thf(event_decl,type,
    event: $i > $o ).

thf(3,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( A @ ( F @ activates ) )
        & ( E @ ( A @ tgt ) )
        & ( D @ ( A @ act ) )
        & ( C @ ( A @ aer ) )
        & ( B @ ( A @ aee ) )
        & ( A @ strong )
        & ( A @ perm ) )
     => ? [G: $i,H: $i,I: $i] :
          ( ( G @ ( I @ part_of ) )
          & ( E @ ( D @ ( I @ cnt ) ) )
          & ( C @ ( I @ bearer ) )
          & ( I @ disability )
          & ( G @ ( H @ part_of ) )
          & ( E @ ( D @ ( H @ cnt ) ) )
          & ( B @ ( H @ bearer ) )
          & ( H @ immunity )
          & ( A @ ( G @ ( F @ founds_imm ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_perm_relator_strong) ).

thf(20,plain,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
      ( ( ( A @ ( F @ activates ) )
        & ( E @ ( A @ tgt ) )
        & ( D @ ( A @ act ) )
        & ( C @ ( A @ aer ) )
        & ( B @ ( A @ aee ) )
        & ( A @ strong )
        & ( A @ perm ) )
     => ? [G: $i,H: $i,I: $i] :
          ( ( G @ ( I @ part_of ) )
          & ( E @ ( D @ ( I @ cnt ) ) )
          & ( C @ ( I @ bearer ) )
          & ( I @ disability )
          & ( G @ ( H @ part_of ) )
          & ( E @ ( D @ ( H @ cnt ) ) )
          & ( B @ ( H @ bearer ) )
          & ( H @ immunity )
          & ( A @ ( G @ ( F @ founds_imm ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(13,axiom,
    museen @ ( p1 @ aer ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aer_p1) ).

thf(41,plain,
    museen @ ( p1 @ aer ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(16,axiom,
    p1 @ ( e1 @ activates ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_e1_p1) ).

thf(44,plain,
    p1 @ ( e1 @ activates ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(11,axiom,
    p1 @ strong,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',strong_p1) ).

thf(39,plain,
    p1 @ strong,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(7,axiom,
    museum_api @ target,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',target_museum) ).

thf(35,plain,
    museum_api @ target,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(15,axiom,
    museum_api @ ( p1 @ tgt ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tgt_p1) ).

thf(43,plain,
    museum_api @ ( p1 @ tgt ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(12,axiom,
    bibliothek @ ( p1 @ aee ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',aee_p1) ).

thf(40,plain,
    bibliothek @ ( p1 @ aee ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(8,axiom,
    p1 @ rule,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_p1) ).

thf(36,plain,
    p1 @ rule,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(14,axiom,
    read @ ( p1 @ act ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',act_p1) ).

thf(42,plain,
    read @ ( p1 @ act ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(9,axiom,
    e1 @ event,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_e1) ).

thf(37,plain,
    e1 @ event,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(10,axiom,
    p1 @ perm,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',perm_p1) ).

thf(38,plain,
    p1 @ perm,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(5,axiom,
    museen @ agent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_museen) ).

thf(33,plain,
    museen @ agent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(1,conjecture,
    ? [A: $i,B: $i] :
      ( ( A @ ( B @ part_of ) )
      & ( museum_api @ ( read @ ( B @ cnt ) ) )
      & ( museen @ ( B @ bearer ) )
      & ( B @ disability )
      & ( p1 @ ( A @ ( e1 @ founds_imm ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).

thf(2,negated_conjecture,
    ~ ? [A: $i,B: $i] :
        ( ( A @ ( B @ part_of ) )
        & ( museum_api @ ( read @ ( B @ cnt ) ) )
        & ( museen @ ( B @ bearer ) )
        & ( B @ disability )
        & ( p1 @ ( A @ ( e1 @ founds_imm ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(17,plain,
    ~ ? [A: $i,B: $i] :
        ( ( A @ ( B @ part_of ) )
        & ( museum_api @ ( read @ ( B @ cnt ) ) )
        & ( museen @ ( B @ bearer ) )
        & ( B @ disability )
        & ( p1 @ ( A @ ( e1 @ founds_imm ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,axiom,
    bibliothek @ agent,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',agent_bibliothek) ).

thf(32,plain,
    bibliothek @ agent,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(6,axiom,
    read @ action,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',action_read) ).

thf(34,plain,
    read @ action,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(45,plain,
    $false,
    inference(e,[status(thm)],[20,41,44,39,35,43,40,36,42,37,38,33,17,32,34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT117+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.17/15.46  % Computer : n010.cluster.edu
% 0.17/15.46  % Model    : x86_64 x86_64
% 0.17/15.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/15.46  % Memory   : 8046.5625MB
% 0.17/15.46  % OS       : Linux 6.8.0-71-generic
% 0.17/15.46  % CPULimit : 300
% 0.17/15.46  % WCLimit  : 300
% 0.17/15.46  % DateTime : Sat Sep 26 00:15:15 UTC 2026
% 0.17/15.46  % CPUTime  : 
% 0.17/15.46  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.22/15.97  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.32/16.14  % [INFO] 	 Parsing done (161ms). 
% 1.32/16.15  % [INFO] 	 Running in sequential loop mode. 
% 2.19/16.50  % [INFO] 	 eprover registered as external prover. 
% 2.19/16.50  % [INFO] 	 Scanning for conjecture ... 
% 2.19/16.60  % [INFO] 	 Found a conjecture (or negated_conjecture) and 14 axioms. Running axiom selection ... 
% 2.41/16.63  % [INFO] 	 Axiom selection finished. Selected 14 axioms (removed 0 axioms). 
% 2.41/16.66  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.41/16.66  % [INFO] 	 Type checking passed. 
% 2.41/16.67  % [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 ... 
% 4.52/17.34  % External prover 'e' found a proof!
% 4.52/17.34  % [INFO] 	 Killing All external provers ... 
% 4.52/17.34  % Time passed: 1748ms (effective reasoning time: 1188ms)
% 4.52/17.34  % 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)>
% 4.52/17.35  % Axioms used in derivation (14): agent_museen, event_e1, rule_p1, action_read, aee_p1, perm_p1, strong_p1, tgt_p1, aer_p1, target_museum, ax_perm_relator_strong, agent_bibliothek, act_e1_p1, act_p1
% 4.52/17.35  % No. of inferences in proof: 32
% 4.52/17.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1748 ms resp. 1188 ms w/o parsing
% 4.52/17.39  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.52/17.39  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------