TSTP Solution File: NLP122+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP122+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n026.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 11:36:19 EDT 2023

% Result   : Theorem 3.54s 1.84s
% Output   : Refutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   21 (   1 unt;  17 typ;   0 def)
%            Number of atoms       :  205 (   0 equ;   0 cnn)
%            Maximal formula atoms :   68 (  51 avg)
%            Number of connectives :  651 (   6   ~;   0   |; 195   &; 444   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (  22 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  17 usr;   1 con; 0-3 aty)
%            Number of variables   :   60 (   0   ^;   0   !;  60   ?;  60   :)

% Comments : 
%------------------------------------------------------------------------------
thf(actual_world_type,type,
    actual_world: $i > $o ).

thf(of_type,type,
    of: $i > $i > $i > $o ).

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

thf(hollywood_placename_type,type,
    hollywood_placename: $i > $i > $o ).

thf(placename_type,type,
    placename: $i > $i > $o ).

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

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

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

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

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

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

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

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

thf(present_type,type,
    present: $i > $i > $o ).

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

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

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

thf(1,conjecture,
    ~ ~ ( ( ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i] :
                  ( ( of @ A @ B @ C )
                  & ( city @ A @ C )
                  & ( hollywood_placename @ A @ B )
                  & ( placename @ A @ B )
                  & ( chevy @ A @ C )
                  & ( white @ A @ C )
                  & ( dirty @ A @ C )
                  & ( old @ A @ C )
                  & ( street @ A @ D )
                  & ( lonely @ A @ D )
                  & ( event @ A @ E )
                  & ( agent @ A @ E @ C )
                  & ( present @ A @ E )
                  & ( barrel @ A @ E )
                  & ( down @ A @ E @ D )
                  & ( in @ A @ E @ C ) ) )
         => ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i] :
                  ( ( street @ A @ B )
                  & ( lonely @ A @ B )
                  & ( of @ A @ C @ D )
                  & ( city @ A @ D )
                  & ( hollywood_placename @ A @ C )
                  & ( placename @ A @ C )
                  & ( chevy @ A @ D )
                  & ( white @ A @ D )
                  & ( dirty @ A @ D )
                  & ( old @ A @ D )
                  & ( event @ A @ E )
                  & ( agent @ A @ E @ D )
                  & ( present @ A @ E )
                  & ( barrel @ A @ E )
                  & ( down @ A @ E @ B )
                  & ( in @ A @ E @ D ) ) ) )
        & ( ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i] :
                  ( ( street @ A @ B )
                  & ( lonely @ A @ B )
                  & ( of @ A @ C @ D )
                  & ( city @ A @ D )
                  & ( hollywood_placename @ A @ C )
                  & ( placename @ A @ C )
                  & ( chevy @ A @ D )
                  & ( white @ A @ D )
                  & ( dirty @ A @ D )
                  & ( old @ A @ D )
                  & ( event @ A @ E )
                  & ( agent @ A @ E @ D )
                  & ( present @ A @ E )
                  & ( barrel @ A @ E )
                  & ( down @ A @ E @ B )
                  & ( in @ A @ E @ D ) ) )
         => ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i] :
                  ( ( of @ A @ B @ C )
                  & ( city @ A @ C )
                  & ( hollywood_placename @ A @ B )
                  & ( placename @ A @ B )
                  & ( chevy @ A @ C )
                  & ( white @ A @ C )
                  & ( dirty @ A @ C )
                  & ( old @ A @ C )
                  & ( street @ A @ D )
                  & ( lonely @ A @ D )
                  & ( event @ A @ E )
                  & ( agent @ A @ E @ C )
                  & ( present @ A @ E )
                  & ( barrel @ A @ E )
                  & ( down @ A @ E @ D )
                  & ( in @ A @ E @ C ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ~ ~ ( ( ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i] :
                    ( ( of @ A @ B @ C )
                    & ( city @ A @ C )
                    & ( hollywood_placename @ A @ B )
                    & ( placename @ A @ B )
                    & ( chevy @ A @ C )
                    & ( white @ A @ C )
                    & ( dirty @ A @ C )
                    & ( old @ A @ C )
                    & ( street @ A @ D )
                    & ( lonely @ A @ D )
                    & ( event @ A @ E )
                    & ( agent @ A @ E @ C )
                    & ( present @ A @ E )
                    & ( barrel @ A @ E )
                    & ( down @ A @ E @ D )
                    & ( in @ A @ E @ C ) ) )
           => ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i] :
                    ( ( street @ A @ B )
                    & ( lonely @ A @ B )
                    & ( of @ A @ C @ D )
                    & ( city @ A @ D )
                    & ( hollywood_placename @ A @ C )
                    & ( placename @ A @ C )
                    & ( chevy @ A @ D )
                    & ( white @ A @ D )
                    & ( dirty @ A @ D )
                    & ( old @ A @ D )
                    & ( event @ A @ E )
                    & ( agent @ A @ E @ D )
                    & ( present @ A @ E )
                    & ( barrel @ A @ E )
                    & ( down @ A @ E @ B )
                    & ( in @ A @ E @ D ) ) ) )
          & ( ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i] :
                    ( ( street @ A @ B )
                    & ( lonely @ A @ B )
                    & ( of @ A @ C @ D )
                    & ( city @ A @ D )
                    & ( hollywood_placename @ A @ C )
                    & ( placename @ A @ C )
                    & ( chevy @ A @ D )
                    & ( white @ A @ D )
                    & ( dirty @ A @ D )
                    & ( old @ A @ D )
                    & ( event @ A @ E )
                    & ( agent @ A @ E @ D )
                    & ( present @ A @ E )
                    & ( barrel @ A @ E )
                    & ( down @ A @ E @ B )
                    & ( in @ A @ E @ D ) ) )
           => ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i] :
                    ( ( of @ A @ B @ C )
                    & ( city @ A @ C )
                    & ( hollywood_placename @ A @ B )
                    & ( placename @ A @ B )
                    & ( chevy @ A @ C )
                    & ( white @ A @ C )
                    & ( dirty @ A @ C )
                    & ( old @ A @ C )
                    & ( street @ A @ D )
                    & ( lonely @ A @ D )
                    & ( event @ A @ E )
                    & ( agent @ A @ E @ C )
                    & ( present @ A @ E )
                    & ( barrel @ A @ E )
                    & ( down @ A @ E @ D )
                    & ( in @ A @ E @ C ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i] :
                ( ( of @ A @ B @ C )
                & ( city @ A @ C )
                & ( hollywood_placename @ A @ B )
                & ( placename @ A @ B )
                & ( chevy @ A @ C )
                & ( white @ A @ C )
                & ( dirty @ A @ C )
                & ( old @ A @ C )
                & ( street @ A @ D )
                & ( lonely @ A @ D )
                & ( event @ A @ E )
                & ( agent @ A @ E @ C )
                & ( present @ A @ E )
                & ( barrel @ A @ E )
                & ( down @ A @ E @ D )
                & ( in @ A @ E @ C ) ) )
       => ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i] :
                ( ( street @ A @ B )
                & ( lonely @ A @ B )
                & ( of @ A @ C @ D )
                & ( city @ A @ D )
                & ( hollywood_placename @ A @ C )
                & ( placename @ A @ C )
                & ( chevy @ A @ D )
                & ( white @ A @ D )
                & ( dirty @ A @ D )
                & ( old @ A @ D )
                & ( event @ A @ E )
                & ( agent @ A @ E @ D )
                & ( present @ A @ E )
                & ( barrel @ A @ E )
                & ( down @ A @ E @ B )
                & ( in @ A @ E @ D ) ) ) )
      & ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i] :
                ( ( street @ A @ B )
                & ( lonely @ A @ B )
                & ( of @ A @ C @ D )
                & ( city @ A @ D )
                & ( hollywood_placename @ A @ C )
                & ( placename @ A @ C )
                & ( chevy @ A @ D )
                & ( white @ A @ D )
                & ( dirty @ A @ D )
                & ( old @ A @ D )
                & ( event @ A @ E )
                & ( agent @ A @ E @ D )
                & ( present @ A @ E )
                & ( barrel @ A @ E )
                & ( down @ A @ E @ B )
                & ( in @ A @ E @ D ) ) )
       => ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i] :
                ( ( of @ A @ B @ C )
                & ( city @ A @ C )
                & ( hollywood_placename @ A @ B )
                & ( placename @ A @ B )
                & ( chevy @ A @ C )
                & ( white @ A @ C )
                & ( dirty @ A @ C )
                & ( old @ A @ C )
                & ( street @ A @ D )
                & ( lonely @ A @ D )
                & ( event @ A @ E )
                & ( agent @ A @ E @ C )
                & ( present @ A @ E )
                & ( barrel @ A @ E )
                & ( down @ A @ E @ D )
                & ( in @ A @ E @ C ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(42,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP122+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % Command  : run_Leo-III %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May 18 15:16:51 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.82/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.23/0.97  % [INFO] 	 Parsing done (128ms). 
% 1.23/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.18  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.18  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.18  % [INFO] 	 Scanning for conjecture ... 
% 1.88/1.27  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.08/1.31  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.08/1.31  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.08/1.31  % [INFO] 	 Type checking passed. 
% 2.08/1.32  % [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 ... 
% 3.54/1.84  % External prover 'e' found a proof!
% 3.54/1.84  % [INFO] 	 Killing All external provers ... 
% 3.54/1.84  % Time passed: 1330ms (effective reasoning time: 862ms)
% 3.54/1.84  % 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)>
% 3.54/1.84  % Axioms used in derivation (0): 
% 3.54/1.84  % No. of inferences in proof: 4
% 3.54/1.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1330 ms resp. 862 ms w/o parsing
% 3.54/1.88  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.54/1.88  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------