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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : MGT007-1 : 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 : n017.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 08:00:32 AM UTC 2026

% Result   : Unsatisfiable 4.41s 2.55s
% Output   : Refutation 4.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   35 (  19 unt;   0 typ;   0 def)
%            Number of atoms       :  137 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  554 ( 100   ~; 102   |;   0   &; 352   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   8 con; 0-3 aty)
%            Number of variables   :  108 (   0   ^; 108   !;   0   ?; 108   :)

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

thf(sk4_decl,type,
    sk4: $i ).

thf(sk7_decl,type,
    sk7: $i ).

thf(sk8_decl,type,
    sk8: $i ).

thf(reorganization_decl,type,
    reorganization: $i > $i > $i > $o ).

thf(sk9_decl,type,
    sk9: $i ).

thf(sk10_decl,type,
    sk10: $i ).

thf(reproducibility_decl,type,
    reproducibility: $i > $i > $i > $o ).

thf(sk5_decl,type,
    sk5: $i ).

thf(sk6_decl,type,
    sk6: $i ).

thf(greater_decl,type,
    greater: $i > $i > $o ).

thf(reliability_decl,type,
    reliability: $i > $i > $i > $o ).

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

thf(accountability_decl,type,
    accountability: $i > $i > $i > $o ).

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

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

thf(6,negated_conjecture,
    ~ ( sk7 @ ( sk9 @ greater ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_14) ).

thf(20,plain,
    ~ ( sk7 @ ( sk9 @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(5,negated_conjecture,
    sk8 @ ( sk6 @ ( sk4 @ reproducibility ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_13) ).

thf(18,plain,
    sk8 @ ( sk6 @ ( sk4 @ reproducibility ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( G @ ( F @ greater ) )
      | ( E @ ( C @ greater ) )
      | ~ ( B @ ( C @ greater ) )
      | ( B @ ( D @ greater ) )
      | ~ ( C @ ( I @ ( A @ accountability ) ) )
      | ~ ( B @ ( H @ ( A @ accountability ) ) )
      | ~ ( C @ ( G @ ( A @ reliability ) ) )
      | ~ ( B @ ( F @ ( A @ reliability ) ) )
      | ~ ( E @ ( D @ ( A @ reorganization ) ) )
      | ~ ( C @ ( A @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_7) ).

thf(42,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( G @ ( F @ greater ) )
      | ( E @ ( C @ greater ) )
      | ~ ( B @ ( C @ greater ) )
      | ( B @ ( D @ greater ) )
      | ~ ( C @ ( I @ ( A @ accountability ) ) )
      | ~ ( B @ ( H @ ( A @ accountability ) ) )
      | ~ ( C @ ( G @ ( A @ reliability ) ) )
      | ~ ( B @ ( F @ ( A @ reliability ) ) )
      | ~ ( E @ ( D @ ( A @ reorganization ) ) )
      | ~ ( C @ ( A @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(3,negated_conjecture,
    sk10 @ ( sk9 @ ( sk4 @ reorganization ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_11) ).

thf(24,plain,
    sk10 @ ( sk9 @ ( sk4 @ reorganization ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(8,negated_conjecture,
    ~ ( sk10 @ ( sk8 @ greater ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_16) ).

thf(25,plain,
    ~ ( sk10 @ ( sk8 @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(14,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( G @ ( H @ greater ) )
      | ~ ( I @ ( J @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_5) ).

thf(38,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( G @ ( H @ greater ) )
      | ~ ( I @ ( J @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(9,negated_conjecture,
    ~ ( sk6 @ ( sk5 @ greater ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_17) ).

thf(21,plain,
    ~ ( sk6 @ ( sk5 @ greater ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_2) ).

thf(32,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk2 ) @ ( A @ accountability ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(12,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk3 ) @ ( A @ reproducibility ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_not_in_TR_3) ).

thf(34,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk3 ) @ ( A @ reproducibility ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(2,negated_conjecture,
    sk8 @ ( sk4 @ organization ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_10) ).

thf(22,plain,
    sk8 @ ( sk4 @ organization ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(17,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( I @ ( H @ greater ) )
      | ( E @ ( C @ greater ) )
      | ~ ( B @ ( C @ greater ) )
      | ( B @ ( D @ greater ) )
      | ~ ( C @ ( I @ ( A @ accountability ) ) )
      | ~ ( B @ ( H @ ( A @ accountability ) ) )
      | ~ ( C @ ( G @ ( A @ reliability ) ) )
      | ~ ( B @ ( F @ ( A @ reliability ) ) )
      | ~ ( E @ ( D @ ( A @ reorganization ) ) )
      | ~ ( C @ ( A @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_FOL_8) ).

thf(44,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( I @ ( H @ greater ) )
      | ( E @ ( C @ greater ) )
      | ~ ( B @ ( C @ greater ) )
      | ( B @ ( D @ greater ) )
      | ~ ( C @ ( I @ ( A @ accountability ) ) )
      | ~ ( B @ ( H @ ( A @ accountability ) ) )
      | ~ ( C @ ( G @ ( A @ reliability ) ) )
      | ~ ( B @ ( F @ ( A @ reliability ) ) )
      | ~ ( E @ ( D @ ( A @ reorganization ) ) )
      | ~ ( C @ ( A @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(15,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( I @ ( J @ greater ) )
      | ~ ( G @ ( H @ greater ) )
      | ~ ( E @ ( F @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_6) ).

thf(40,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( I @ ( J @ greater ) )
      | ~ ( G @ ( H @ greater ) )
      | ~ ( E @ ( F @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(4,negated_conjecture,
    sk7 @ ( sk5 @ ( sk4 @ reproducibility ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_12) ).

thf(26,plain,
    sk7 @ ( sk5 @ ( sk4 @ reproducibility ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(7,negated_conjecture,
    sk7 @ ( sk8 @ greater ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_15) ).

thf(23,plain,
    sk7 @ ( sk8 @ greater ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(13,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( E @ ( F @ greater ) )
      | ~ ( I @ ( J @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_FOL_4) ).

thf(36,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( E @ ( F @ greater ) )
      | ~ ( I @ ( J @ greater ) )
      | ~ ( D @ ( J @ ( C @ reproducibility ) ) )
      | ~ ( B @ ( I @ ( A @ reproducibility ) ) )
      | ~ ( D @ ( H @ ( C @ accountability ) ) )
      | ~ ( B @ ( G @ ( A @ accountability ) ) )
      | ~ ( D @ ( F @ ( C @ reliability ) ) )
      | ~ ( B @ ( E @ ( A @ reliability ) ) )
      | ~ ( D @ ( C @ organization ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(10,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_1) ).

thf(30,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ ( B @ sk1 ) @ ( A @ reliability ) ) )
      | ~ ( B @ ( A @ organization ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1,negated_conjecture,
    sk7 @ ( sk4 @ organization ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_FOL_9) ).

thf(19,plain,
    sk7 @ ( sk4 @ organization ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(50,plain,
    $false,
    inference(e,[status(thm)],[20,18,42,24,25,38,21,32,34,22,44,40,26,23,36,30,19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : MGT007-1 : 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
% 0.13/0.39  % Computer : n017.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.40  % DateTime : Fri Sep 25 23:58:18 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  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
% 0.88/0.98  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.27/1.18  % [INFO] 	 Parsing done (202ms). 
% 1.45/1.20  % [INFO] 	 Running in sequential loop mode. 
% 2.09/1.62  % [INFO] 	 eprover registered as external prover. 
% 2.09/1.63  % [INFO] 	 Scanning for conjecture ... 
% 2.29/1.73  % [INFO] 	 Found a conjecture (or negated_conjecture) and 8 axioms. Running axiom selection ... 
% 2.29/1.76  % [INFO] 	 Axiom selection finished. Selected 8 axioms (removed 0 axioms). 
% 2.48/1.81  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.48/1.81  % [INFO] 	 Type checking passed. 
% 2.48/1.82  % [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 ... 
% 4.41/2.55  % External prover 'e' found a proof!
% 4.41/2.55  % [INFO] 	 Killing All external provers ... 
% 4.41/2.55  % Time passed: 2012ms (effective reasoning time: 1341ms)
% 4.41/2.55  % Axioms used in derivation (8): a2_FOL_6, mp2_2, a6_FOL_8, a2_FOL_4, mp1_1, a6_FOL_7, mp_not_in_TR_3, a2_FOL_5
% 4.41/2.55  % No. of inferences in proof: 35
% 4.41/2.55  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2012 ms resp. 1341 ms w/o parsing
% 4.70/2.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.70/2.61  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------