TSTP Solution File: NLP260+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP260+1 : TPTP v8.1.2. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:36:40 EDT 2023

% Result   : Theorem 44.56s 16.57s
% Output   : Refutation 44.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  114 (  74 unt;  38 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  :    4 (   4   >;   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_type,type,
    hypernym: $i > $i > $o ).

thf(n9986904_type,type,
    n9986904: $i ).

thf(n9855630_type,type,
    n9855630: $i ).

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

thf(n10126424_type,type,
    n10126424: $i ).

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

thf(n10806222_type,type,
    n10806222: $i ).

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

thf(n10327143_type,type,
    n10327143: $i ).

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

thf(n9868270_type,type,
    n9868270: $i ).

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

thf(n10560637_type,type,
    n10560637: $i ).

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

thf(n10353928_type,type,
    n10353928: $i ).

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

thf(n10503818_type,type,
    n10503818: $i ).

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

thf(n10313580_type,type,
    n10313580: $i ).

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

thf(n9987045_type,type,
    n9987045: $i ).

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

thf(n10693824_type,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\'_type',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_type,type,
    n10346514: $i ).

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

thf(n9831411_type,type,
    n9831411: $i ).

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

thf(n10620437_type,type,
    n10620437: $i ).

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

thf(n10429965_type,type,
    n10429965: $i ).

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

thf(n10758207_type,type,
    n10758207: $i ).

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

thf(n10043163_type,type,
    n10043163: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(62,plain,
    hypernym @ n10806222 @ n9855630,
    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
% 0.07/0.12  % Problem  : NLP260+1 : TPTP v8.1.2. Bugfixed v4.0.1.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 14:48:04 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.82/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 16.86/7.83  % [INFO] 	 Parsing done (6970ms). 
% 16.86/7.89  % [INFO] 	 Running in sequential loop mode. 
% 17.19/8.08  % [INFO] 	 eprover registered as external prover. 
% 17.19/8.08  % [INFO] 	 cvc4 registered as external prover. 
% 17.42/8.08  % [INFO] 	 Scanning for conjecture ... 
% 39.64/14.38  % [INFO] 	 Found a conjecture and 1026860 axioms. Running axiom selection ... 
% 43.39/16.13  % [INFO] 	 Axiom selection finished. Selected 36 axioms (removed 1026824 axioms). 
% 43.47/16.16  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 43.47/16.17  % [INFO] 	 Type checking passed. 
% 43.58/16.17  % [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 ... 
% 44.56/16.57  % External prover 'e' found a proof!
% 44.56/16.57  % [INFO] 	 Killing All external provers ... 
% 44.56/16.57  % Time passed: 16043ms (effective reasoning time: 8683ms)
% 44.56/16.57  % 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)>
% 44.56/16.57  % 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
% 44.56/16.57  % No. of inferences in proof: 76
% 44.56/16.57  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 16043 ms resp. 8683 ms w/o parsing
% 44.74/16.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 44.74/16.61  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------