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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : NLP260+1 : TPTP v9.3.1. Bugfixed v4.0.1.
% 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 : n008.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 08:05:16 AM UTC 2026

% Result   : Theorem 69.78s 42.90s
% Output   : Refutation 69.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   37
% Syntax   : Number of formulae    :   76 (  74 unt;   0 typ;   0 def)
%            Number of atoms       :   80 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  164 (   2   ~;   0   |;   2   &; 158   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   39 (  38 usr;  37 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hypernym_decl,type,
    hypernym: $i > $i > $o ).

thf(n9986904_decl,type,
    n9986904: $i ).

thf(n9855630_decl,type,
    n9855630: $i ).

thf(has__gloss_decl,type,
    has__gloss: $i > $i > $o ).

thf(n10126424_decl,type,
    n10126424: $i ).

thf('a biologist who specializes in genetics_decl',type,
    'a biologist who specializes in genetics': $i ).

thf(n10806222_decl,type,
    n10806222: $i ).

thf('a specialist in the branch of biology dealing with animals_decl',type,
    'a specialist in the branch of biology dealing with animals': $i ).

thf(n10327143_decl,type,
    n10327143: $i ).

thf('a biologist who studies the structure and activity of macromolecules essential to life_decl',type,
    'a biologist who studies the structure and activity of macromolecules essential to life': $i ).

thf(n9868270_decl,type,
    n9868270: $i ).

thf('a biologist specializing in the study of plants_decl',type,
    'a biologist specializing in the study of plants': $i ).

thf(n10560637_decl,type,
    n10560637: $i ).

thf('a person with advanced knowledge of one or more sciences_decl',type,
    'a person with advanced knowledge of one or more sciences': $i ).

thf(n10353928_decl,type,
    n10353928: $i ).

thf('a specialist in neurobiology_decl',type,
    'a specialist in neurobiology': $i ).

thf(n10503818_decl,type,
    n10503818: $i ).

thf('a biologist who studies the effects of radiation on living organisms_decl',type,
    'a biologist who studies the effects of radiation on living organisms': $i ).

thf(n10313580_decl,type,
    n10313580: $i ).

thf('a specialist in microbiology_decl',type,
    'a specialist in microbiology': $i ).

thf(n9987045_decl,type,
    n9987045: $i ).

thf('a biologist who studies the structure and function of cells_decl',type,
    'a biologist who studies the structure and function of cells': $i ).

thf(n10693824_decl,type,
    n10693824: $i ).

thf('a biologist who specializes in the classification of organisms into groups on the basis of their structure and origin and behavior_decl',type,
    'a biologist who specializes in the classification of organisms into groups on the basis of their structure and origin and behavior': $i ).

thf(n10346514_decl,type,
    n10346514: $i ).

thf('a biologist knowledgeable about natural history %28%especially botany and zoology%29%_decl',type,
    'a biologist knowledgeable about natural history %28%especially botany and zoology%29%': $i ).

thf(n9831411_decl,type,
    n9831411: $i ).

thf('a biologist who studies bacteria_decl',type,
    'a biologist who studies bacteria': $i ).

thf(n10620437_decl,type,
    n10620437: $i ).

thf('a biologist who studies the biological determinants of social behavior_decl',type,
    'a biologist who studies the biological determinants of social behavior': $i ).

thf(n10429965_decl,type,
    n10429965: $i ).

thf('a biologist specializing in physiology_decl',type,
    'a biologist specializing in physiology': $i ).

thf(n10758207_decl,type,
    n10758207: $i ).

thf('a biologist who cuts open live animals for research_decl',type,
    'a biologist who cuts open live animals for research': $i ).

thf(n10043163_decl,type,
    n10043163: $i ).

thf('a biologist who studies the relation between organisms and their environment_decl',type,
    'a biologist who studies the relation between organisms and their environment': $i ).

thf('%28%biology%29% a scientist who studies living organisms_decl',type,
    '%28%biology%29% a scientist who studies living organisms': $i ).

thf('a geneticist who specializes in the cellular components associated with heredity_decl',type,
    'a geneticist who specializes in the cellular components associated with heredity': $i ).

thf(32,axiom,
    n9855630 @ ( n10043163 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb596896) ).

thf(69,plain,
    n9855630 @ ( n10043163 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(19,axiom,
    n9855630 @ ( n9987045 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb452038) ).

thf(56,plain,
    n9855630 @ ( n9987045 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(5,axiom,
    'a biologist who studies the structure and activity of macromolecules essential to life' @ ( n10327143 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb59361) ).

thf(42,plain,
    'a biologist who studies the structure and activity of macromolecules essential to life' @ ( n10327143 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(15,axiom,
    'a biologist who studies the biological determinants of social behavior' @ ( n10620437 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb493261) ).

thf(52,plain,
    'a biologist who studies the biological determinants of social behavior' @ ( n10620437 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(23,axiom,
    n9855630 @ ( n9868270 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb519942) ).

thf(60,plain,
    n9855630 @ ( n9868270 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(33,axiom,
    n9855630 @ ( n10429965 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb359466) ).

thf(70,plain,
    n9855630 @ ( n10429965 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(28,axiom,
    n10560637 @ ( n9855630 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb886122) ).

thf(65,plain,
    n10560637 @ ( n9855630 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(16,axiom,
    'a biologist specializing in physiology' @ ( n10429965 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb359451) ).

thf(53,plain,
    'a biologist specializing in physiology' @ ( n10429965 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(4,axiom,
    'a specialist in the branch of biology dealing with animals' @ ( n10806222 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb531947) ).

thf(41,plain,
    'a specialist in the branch of biology dealing with animals' @ ( n10806222 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(35,axiom,
    n9855630 @ ( n10503818 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb563931) ).

thf(73,plain,
    n9855630 @ ( n10503818 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(29,axiom,
    n9855630 @ ( n10353928 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb483550) ).

thf(66,plain,
    n9855630 @ ( n10353928 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(6,axiom,
    'a biologist specializing in the study of plants' @ ( n9868270 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb519944) ).

thf(43,plain,
    'a biologist specializing in the study of plants' @ ( n9868270 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(14,axiom,
    'a biologist who studies bacteria' @ ( n9831411 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb536418) ).

thf(51,plain,
    'a biologist who studies bacteria' @ ( n9831411 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(9,axiom,
    'a biologist who studies the effects of radiation on living organisms' @ ( n10503818 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb563928) ).

thf(46,plain,
    'a biologist who studies the effects of radiation on living organisms' @ ( n10503818 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(20,axiom,
    n9855630 @ ( n10758207 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb824249) ).

thf(57,plain,
    n9855630 @ ( n10758207 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(24,axiom,
    '%28%biology%29% a scientist who studies living organisms' @ ( n9855630 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb886123) ).

thf(61,plain,
    '%28%biology%29% a scientist who studies living organisms' @ ( n9855630 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(36,axiom,
    n9855630 @ ( n10313580 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb471787) ).

thf(74,plain,
    n9855630 @ ( n10313580 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(8,axiom,
    'a specialist in neurobiology' @ ( n10353928 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb483548) ).

thf(45,plain,
    'a specialist in neurobiology' @ ( n10353928 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(27,axiom,
    n9855630 @ ( n10126424 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb340304) ).

thf(64,plain,
    n9855630 @ ( n10126424 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(7,axiom,
    'a person with advanced knowledge of one or more sciences' @ ( n10560637 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb117078) ).

thf(44,plain,
    'a person with advanced knowledge of one or more sciences' @ ( n10560637 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(22,axiom,
    n9855630 @ ( n10346514 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb616540) ).

thf(59,plain,
    n9855630 @ ( n10346514 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(34,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ hypernym ) )
        & ( B @ ( A @ hypernym ) ) )
     => ( C @ ( A @ hypernym ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom1) ).

thf(71,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( C @ ( B @ hypernym ) )
        & ( B @ ( A @ hypernym ) ) )
     => ( C @ ( A @ hypernym ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(17,axiom,
    'a biologist who cuts open live animals for research' @ ( n10758207 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb824248) ).

thf(54,plain,
    'a biologist who cuts open live animals for research' @ ( n10758207 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(12,axiom,
    'a biologist who specializes in the classification of organisms into groups on the basis of their structure and origin and behavior' @ ( n10693824 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb4253) ).

thf(49,plain,
    'a biologist who specializes in the classification of organisms into groups on the basis of their structure and origin and behavior' @ ( n10693824 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(38,axiom,
    n9855630 @ ( n9831411 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb536422) ).

thf(76,plain,
    n9855630 @ ( n9831411 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(1,conjecture,
    n9855630 @ ( n9986904 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypernym_transitiviy_1) ).

thf(2,negated_conjecture,
    ~ ( n9855630 @ ( n9986904 @ hypernym ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(39,plain,
    ~ ( n9855630 @ ( n9986904 @ hypernym ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,axiom,
    'a biologist who studies the structure and function of cells' @ ( n9987045 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb452041) ).

thf(48,plain,
    'a biologist who studies the structure and function of cells' @ ( n9987045 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(26,axiom,
    'a geneticist who specializes in the cellular components associated with heredity' @ ( n9986904 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb1048) ).

thf(63,plain,
    'a geneticist who specializes in the cellular components associated with heredity' @ ( n9986904 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(13,axiom,
    'a biologist knowledgeable about natural history %28%especially botany and zoology%29%' @ ( n10346514 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb616527) ).

thf(50,plain,
    'a biologist knowledgeable about natural history %28%especially botany and zoology%29%' @ ( n10346514 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(30,axiom,
    n9855630 @ ( n10693824 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb4257) ).

thf(67,plain,
    n9855630 @ ( n10693824 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(3,axiom,
    'a biologist who specializes in genetics' @ ( n10126424 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb340305) ).

thf(40,plain,
    'a biologist who specializes in genetics' @ ( n10126424 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(18,axiom,
    'a biologist who studies the relation between organisms and their environment' @ ( n10043163 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb596900) ).

thf(55,plain,
    'a biologist who studies the relation between organisms and their environment' @ ( n10043163 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(37,axiom,
    n10126424 @ ( n9986904 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb1049) ).

thf(75,plain,
    n10126424 @ ( n9986904 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(21,axiom,
    n9855630 @ ( n10620437 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb493260) ).

thf(58,plain,
    n9855630 @ ( n10620437 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(10,axiom,
    'a specialist in microbiology' @ ( n10313580 @ has__gloss ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb471789) ).

thf(47,plain,
    'a specialist in microbiology' @ ( n10313580 @ has__gloss ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(31,axiom,
    n9855630 @ ( n10327143 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb59365) ).

thf(68,plain,
    n9855630 @ ( n10327143 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(25,axiom,
    n9855630 @ ( n10806222 @ hypernym ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb531946) ).

thf(62,plain,
    n9855630 @ ( n10806222 @ hypernym ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(77,plain,
    $false,
    inference(e,[status(thm)],[69,56,42,52,60,70,65,53,41,73,66,43,51,46,57,61,74,45,64,44,59,71,54,49,76,39,48,63,50,67,40,55,75,58,47,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : NLP260+1 : TPTP v9.3.1. Bugfixed v4.0.1.
% 0.00/0.11  % 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
% 0.21/5.47  % Computer : n008.cluster.edu
% 0.21/5.47  % Model    : x86_64 x86_64
% 0.21/5.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.47  % Memory   : 8046.5625MB
% 0.21/5.47  % OS       : Linux 6.8.0-71-generic
% 0.21/5.47  % CPULimit : 300
% 0.21/5.47  % WCLimit  : 300
% 0.21/5.47  % DateTime : Sat Sep 26 01:50:33 UTC 2026
% 0.21/5.47  % CPUTime  : 
% 0.21/5.47  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
% 1.26/6.23  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 38.41/31.00  % [INFO] 	 Parsing done (24765ms). 
% 38.58/31.10  % [INFO] 	 Running in sequential loop mode. 
% 39.10/31.47  % [INFO] 	 eprover registered as external prover. 
% 39.10/31.48  % [INFO] 	 Scanning for conjecture ... 
% 61.14/39.29  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1026860 axioms. Running axiom selection ... 
% 68.17/42.28  % [INFO] 	 Axiom selection finished. Selected 36 axioms (removed 1026824 axioms). 
% 68.26/42.32  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 68.26/42.32  % [INFO] 	 Type checking passed. 
% 68.26/42.33  % [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 ... 
% 69.39/42.90  % External prover 'e' found a proof!
% 69.39/42.90  % [INFO] 	 Killing All external provers ... 
% 69.78/42.90  % Time passed: 37231ms (effective reasoning time: 11793ms)
% 69.78/42.90  % 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)>
% 69.78/42.90  % Axioms used in derivation (36): kb531946, kb596896, kb563928, kb59361, kb596900, kb519944, kb886123, axiom1, kb519942, kb616540, kb340304, kb1048, kb4257, kb359451, kb4253, kb471789, kb1049, kb59365, kb117078, kb452041, kb493261, kb616527, kb824248, kb531947, kb340305, kb483548, kb493260, kb359466, kb563931, kb471787, kb824249, kb452038, kb886122, kb536422, kb536418, kb483550
% 69.78/42.90  % No. of inferences in proof: 76
% 69.78/42.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 37231 ms resp. 11793 ms w/o parsing
% 69.78/42.95  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 69.78/42.95  % [INFO] 	 Killing All external provers ... 
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