TSTP Solution File: NLP004+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP004+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n007.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 11:35:59 EDT 2023

% Result   : Theorem 4.29s 1.99s
% Output   : Refutation 4.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   24 (   1 unt;  20 typ;   0 def)
%            Number of atoms       :  373 (  36 equ;   0 cnn)
%            Maximal formula atoms :  124 (  93 avg)
%            Number of connectives :  779 (  14   ~;   0   |; 363   &; 396   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   46 (  35 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  23   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   1 con; 0-2 aty)
%            Number of variables   :  120 (   0   ^;   0   !; 120   ?; 120   :)

% Comments : 
%------------------------------------------------------------------------------
thf(seat_type,type,
    seat: $i > $o ).

thf(furniture_type,type,
    furniture: $i > $o ).

thf(front_type,type,
    front: $i > $o ).

thf(hollywood_type,type,
    hollywood: $i > $o ).

thf(city_type,type,
    city: $i > $o ).

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

thf(street_type,type,
    street: $i > $o ).

thf(way_type,type,
    way: $i > $o ).

thf(lonely_type,type,
    lonely: $i > $o ).

thf(chevy_type,type,
    chevy: $i > $o ).

thf(car_type,type,
    car: $i > $o ).

thf(white_type,type,
    white: $i > $o ).

thf(dirty_type,type,
    dirty: $i > $o ).

thf(old_type,type,
    old: $i > $o ).

thf(barrel_type,type,
    barrel: $i > $i > $o ).

thf(down_type,type,
    down: $i > $i > $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(fellow_type,type,
    fellow: $i > $o ).

thf(man_type,type,
    man: $i > $o ).

thf(young_type,type,
    young: $i > $o ).

thf(1,conjecture,
    ( ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
          ( ( seat @ A )
          & ( furniture @ A )
          & ( front @ A )
          & ( seat @ B )
          & ( furniture @ B )
          & ( front @ B )
          & ( hollywood @ C )
          & ( city @ C )
          & ( event @ D )
          & ( street @ E )
          & ( way @ E )
          & ( lonely @ E )
          & ( chevy @ F )
          & ( car @ F )
          & ( white @ F )
          & ( dirty @ F )
          & ( old @ F )
          & ( barrel @ D @ F )
          & ( down @ D @ E )
          & ( in @ D @ C )
          & ( G != H )
          & ( fellow @ G )
          & ( man @ G )
          & ( young @ G )
          & ( fellow @ H )
          & ( man @ H )
          & ( young @ H )
          & ( G = I )
          & ( in @ I @ A )
          & ( H = J )
          & ( in @ J @ B ) )
     => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
          ( ( seat @ A )
          & ( furniture @ A )
          & ( front @ A )
          & ( seat @ B )
          & ( furniture @ B )
          & ( front @ B )
          & ( hollywood @ C )
          & ( city @ C )
          & ( event @ D )
          & ( chevy @ E )
          & ( car @ E )
          & ( white @ E )
          & ( dirty @ E )
          & ( old @ E )
          & ( street @ F )
          & ( way @ F )
          & ( lonely @ F )
          & ( barrel @ D @ E )
          & ( down @ D @ F )
          & ( in @ D @ C )
          & ( G != H )
          & ( fellow @ G )
          & ( man @ G )
          & ( young @ G )
          & ( fellow @ H )
          & ( man @ H )
          & ( young @ H )
          & ( G = I )
          & ( in @ I @ A )
          & ( H = J )
          & ( in @ J @ B ) ) )
    & ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
          ( ( seat @ A )
          & ( furniture @ A )
          & ( front @ A )
          & ( seat @ B )
          & ( furniture @ B )
          & ( front @ B )
          & ( hollywood @ C )
          & ( city @ C )
          & ( event @ D )
          & ( chevy @ E )
          & ( car @ E )
          & ( white @ E )
          & ( dirty @ E )
          & ( old @ E )
          & ( street @ F )
          & ( way @ F )
          & ( lonely @ F )
          & ( barrel @ D @ E )
          & ( down @ D @ F )
          & ( in @ D @ C )
          & ( G != H )
          & ( fellow @ G )
          & ( man @ G )
          & ( young @ G )
          & ( fellow @ H )
          & ( man @ H )
          & ( young @ H )
          & ( G = I )
          & ( in @ I @ A )
          & ( H = J )
          & ( in @ J @ B ) )
     => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
          ( ( seat @ A )
          & ( furniture @ A )
          & ( front @ A )
          & ( seat @ B )
          & ( furniture @ B )
          & ( front @ B )
          & ( hollywood @ C )
          & ( city @ C )
          & ( event @ D )
          & ( street @ E )
          & ( way @ E )
          & ( lonely @ E )
          & ( chevy @ F )
          & ( car @ F )
          & ( white @ F )
          & ( dirty @ F )
          & ( old @ F )
          & ( barrel @ D @ F )
          & ( down @ D @ E )
          & ( in @ D @ C )
          & ( G != H )
          & ( fellow @ G )
          & ( man @ G )
          & ( young @ G )
          & ( fellow @ H )
          & ( man @ H )
          & ( young @ H )
          & ( G = I )
          & ( in @ I @ A )
          & ( H = J )
          & ( in @ J @ B ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ( ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( street @ E )
            & ( way @ E )
            & ( lonely @ E )
            & ( chevy @ F )
            & ( car @ F )
            & ( white @ F )
            & ( dirty @ F )
            & ( old @ F )
            & ( barrel @ D @ F )
            & ( down @ D @ E )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) )
       => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( chevy @ E )
            & ( car @ E )
            & ( white @ E )
            & ( dirty @ E )
            & ( old @ E )
            & ( street @ F )
            & ( way @ F )
            & ( lonely @ F )
            & ( barrel @ D @ E )
            & ( down @ D @ F )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) ) )
      & ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( chevy @ E )
            & ( car @ E )
            & ( white @ E )
            & ( dirty @ E )
            & ( old @ E )
            & ( street @ F )
            & ( way @ F )
            & ( lonely @ F )
            & ( barrel @ D @ E )
            & ( down @ D @ F )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) )
       => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( street @ E )
            & ( way @ E )
            & ( lonely @ E )
            & ( chevy @ F )
            & ( car @ F )
            & ( white @ F )
            & ( dirty @ F )
            & ( old @ F )
            & ( barrel @ D @ F )
            & ( down @ D @ E )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( street @ E )
            & ( way @ E )
            & ( lonely @ E )
            & ( chevy @ F )
            & ( car @ F )
            & ( white @ F )
            & ( dirty @ F )
            & ( old @ F )
            & ( barrel @ D @ F )
            & ( down @ D @ E )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) )
       => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( chevy @ E )
            & ( car @ E )
            & ( white @ E )
            & ( dirty @ E )
            & ( old @ E )
            & ( street @ F )
            & ( way @ F )
            & ( lonely @ F )
            & ( barrel @ D @ E )
            & ( down @ D @ F )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) ) )
      & ( ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( chevy @ E )
            & ( car @ E )
            & ( white @ E )
            & ( dirty @ E )
            & ( old @ E )
            & ( street @ F )
            & ( way @ F )
            & ( lonely @ F )
            & ( barrel @ D @ E )
            & ( down @ D @ F )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) )
       => ? [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
            ( ( seat @ A )
            & ( furniture @ A )
            & ( front @ A )
            & ( seat @ B )
            & ( furniture @ B )
            & ( front @ B )
            & ( hollywood @ C )
            & ( city @ C )
            & ( event @ D )
            & ( street @ E )
            & ( way @ E )
            & ( lonely @ E )
            & ( chevy @ F )
            & ( car @ F )
            & ( white @ F )
            & ( dirty @ F )
            & ( old @ F )
            & ( barrel @ D @ F )
            & ( down @ D @ E )
            & ( in @ D @ C )
            & ( G != H )
            & ( fellow @ G )
            & ( man @ G )
            & ( young @ G )
            & ( fellow @ H )
            & ( man @ H )
            & ( young @ H )
            & ( G = I )
            & ( in @ I @ A )
            & ( H = J )
            & ( in @ J @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(79,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP004+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % 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 14:43:08 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.86/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.27/0.96  % [INFO] 	 Parsing done (123ms). 
% 1.27/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.59/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.59/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.59/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.91/1.28  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 1.91/1.32  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.91/1.32  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.91/1.32  % [INFO] 	 Type checking passed. 
% 1.91/1.32  % [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 ... 
% 4.29/1.99  % External prover 'e' found a proof!
% 4.29/1.99  % [INFO] 	 Killing All external provers ... 
% 4.29/1.99  % Time passed: 1478ms (effective reasoning time: 1023ms)
% 4.29/1.99  % 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)>
% 4.29/1.99  % Axioms used in derivation (0): 
% 4.29/1.99  % No. of inferences in proof: 4
% 4.29/1.99  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1478 ms resp. 1023 ms w/o parsing
% 4.35/2.03  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.35/2.03  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------