TSTP Solution File: NLP080+1 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NLP080+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 11:36:12 EDT 2023

% Result   : Theorem 4.31s 2.04s
% Output   : Refutation 4.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   23 (   1 unt;  19 typ;   0 def)
%            Number of atoms       :  325 (   0 equ;   0 cnn)
%            Maximal formula atoms :  108 (  81 avg)
%            Number of connectives : 1071 (   6   ~;   0   |; 291   &; 744   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (  25 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   42 (  42   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  19 usr;   1 con; 0-3 aty)
%            Number of variables   :  120 (   0   ^;  24   !;  96   ?; 120   :)

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

thf(male_type,type,
    male: $i > $i > $o ).

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

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

thf(cannon_type,type,
    cannon: $i > $i > $o ).

thf(member_type,type,
    member: $i > $i > $i > $o ).

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

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

thf(patient_type,type,
    patient: $i > $i > $i > $o ).

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

thf(nonreflexive_type,type,
    nonreflexive: $i > $i > $o ).

thf(fire_type,type,
    fire: $i > $i > $o ).

thf(from_loc_type,type,
    from_loc: $i > $i > $i > $o ).

thf(six_type,type,
    six: $i > $i > $o ).

thf(group_type,type,
    group: $i > $i > $o ).

thf(shot_type,type,
    shot: $i > $i > $o ).

thf(revenge_type,type,
    revenge: $i > $i > $o ).

thf(cry_type,type,
    cry: $i > $i > $o ).

thf(scream_type,type,
    scream: $i > $i > $o ).

thf(1,conjecture,
    ~ ~ ( ( ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                  ( ( male @ A @ D )
                  & ( male @ A @ B )
                  & ( man @ A @ B )
                  & ( of @ A @ C @ B )
                  & ( cannon @ A @ C )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ? [I: $i] :
                          ( ( event @ A @ I )
                          & ( agent @ A @ I @ B )
                          & ( patient @ A @ I @ H )
                          & ( present @ A @ I )
                          & ( nonreflexive @ A @ I )
                          & ( fire @ A @ I )
                          & ( from_loc @ A @ I @ C ) ) )
                  & ( six @ A @ D )
                  & ( group @ A @ D )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ( shot @ A @ H ) )
                  & ( revenge @ A @ E )
                  & ( cry @ A @ F )
                  & ( event @ A @ G )
                  & ( agent @ A @ G @ D )
                  & ( patient @ A @ G @ F )
                  & ( present @ A @ G )
                  & ( nonreflexive @ A @ G )
                  & ( scream @ A @ G )
                  & ( of @ A @ G @ E ) ) )
         => ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                  ( ( male @ A @ D )
                  & ( male @ A @ B )
                  & ( man @ A @ B )
                  & ( of @ A @ C @ B )
                  & ( cannon @ A @ C )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ? [I: $i] :
                          ( ( event @ A @ I )
                          & ( agent @ A @ I @ B )
                          & ( patient @ A @ I @ H )
                          & ( present @ A @ I )
                          & ( nonreflexive @ A @ I )
                          & ( fire @ A @ I )
                          & ( from_loc @ A @ I @ C ) ) )
                  & ( six @ A @ D )
                  & ( group @ A @ D )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ( shot @ A @ H ) )
                  & ( cry @ A @ E )
                  & ( revenge @ A @ F )
                  & ( event @ A @ G )
                  & ( agent @ A @ G @ D )
                  & ( patient @ A @ G @ E )
                  & ( present @ A @ G )
                  & ( nonreflexive @ A @ G )
                  & ( scream @ A @ G )
                  & ( of @ A @ G @ F ) ) ) )
        & ( ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                  ( ( male @ A @ D )
                  & ( male @ A @ B )
                  & ( man @ A @ B )
                  & ( of @ A @ C @ B )
                  & ( cannon @ A @ C )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ? [I: $i] :
                          ( ( event @ A @ I )
                          & ( agent @ A @ I @ B )
                          & ( patient @ A @ I @ H )
                          & ( present @ A @ I )
                          & ( nonreflexive @ A @ I )
                          & ( fire @ A @ I )
                          & ( from_loc @ A @ I @ C ) ) )
                  & ( six @ A @ D )
                  & ( group @ A @ D )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ( shot @ A @ H ) )
                  & ( cry @ A @ E )
                  & ( revenge @ A @ F )
                  & ( event @ A @ G )
                  & ( agent @ A @ G @ D )
                  & ( patient @ A @ G @ E )
                  & ( present @ A @ G )
                  & ( nonreflexive @ A @ G )
                  & ( scream @ A @ G )
                  & ( of @ A @ G @ F ) ) )
         => ? [A: $i] :
              ( ( actual_world @ A )
              & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                  ( ( male @ A @ D )
                  & ( male @ A @ B )
                  & ( man @ A @ B )
                  & ( of @ A @ C @ B )
                  & ( cannon @ A @ C )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ? [I: $i] :
                          ( ( event @ A @ I )
                          & ( agent @ A @ I @ B )
                          & ( patient @ A @ I @ H )
                          & ( present @ A @ I )
                          & ( nonreflexive @ A @ I )
                          & ( fire @ A @ I )
                          & ( from_loc @ A @ I @ C ) ) )
                  & ( six @ A @ D )
                  & ( group @ A @ D )
                  & ! [H: $i] :
                      ( ( member @ A @ H @ D )
                     => ( shot @ A @ H ) )
                  & ( revenge @ A @ E )
                  & ( cry @ A @ F )
                  & ( event @ A @ G )
                  & ( agent @ A @ G @ D )
                  & ( patient @ A @ G @ F )
                  & ( present @ A @ G )
                  & ( nonreflexive @ A @ G )
                  & ( scream @ A @ G )
                  & ( of @ A @ G @ E ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

thf(2,negated_conjecture,
    ~ ~ ~ ( ( ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                    ( ( male @ A @ D )
                    & ( male @ A @ B )
                    & ( man @ A @ B )
                    & ( of @ A @ C @ B )
                    & ( cannon @ A @ C )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ? [I: $i] :
                            ( ( event @ A @ I )
                            & ( agent @ A @ I @ B )
                            & ( patient @ A @ I @ H )
                            & ( present @ A @ I )
                            & ( nonreflexive @ A @ I )
                            & ( fire @ A @ I )
                            & ( from_loc @ A @ I @ C ) ) )
                    & ( six @ A @ D )
                    & ( group @ A @ D )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ( shot @ A @ H ) )
                    & ( revenge @ A @ E )
                    & ( cry @ A @ F )
                    & ( event @ A @ G )
                    & ( agent @ A @ G @ D )
                    & ( patient @ A @ G @ F )
                    & ( present @ A @ G )
                    & ( nonreflexive @ A @ G )
                    & ( scream @ A @ G )
                    & ( of @ A @ G @ E ) ) )
           => ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                    ( ( male @ A @ D )
                    & ( male @ A @ B )
                    & ( man @ A @ B )
                    & ( of @ A @ C @ B )
                    & ( cannon @ A @ C )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ? [I: $i] :
                            ( ( event @ A @ I )
                            & ( agent @ A @ I @ B )
                            & ( patient @ A @ I @ H )
                            & ( present @ A @ I )
                            & ( nonreflexive @ A @ I )
                            & ( fire @ A @ I )
                            & ( from_loc @ A @ I @ C ) ) )
                    & ( six @ A @ D )
                    & ( group @ A @ D )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ( shot @ A @ H ) )
                    & ( cry @ A @ E )
                    & ( revenge @ A @ F )
                    & ( event @ A @ G )
                    & ( agent @ A @ G @ D )
                    & ( patient @ A @ G @ E )
                    & ( present @ A @ G )
                    & ( nonreflexive @ A @ G )
                    & ( scream @ A @ G )
                    & ( of @ A @ G @ F ) ) ) )
          & ( ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                    ( ( male @ A @ D )
                    & ( male @ A @ B )
                    & ( man @ A @ B )
                    & ( of @ A @ C @ B )
                    & ( cannon @ A @ C )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ? [I: $i] :
                            ( ( event @ A @ I )
                            & ( agent @ A @ I @ B )
                            & ( patient @ A @ I @ H )
                            & ( present @ A @ I )
                            & ( nonreflexive @ A @ I )
                            & ( fire @ A @ I )
                            & ( from_loc @ A @ I @ C ) ) )
                    & ( six @ A @ D )
                    & ( group @ A @ D )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ( shot @ A @ H ) )
                    & ( cry @ A @ E )
                    & ( revenge @ A @ F )
                    & ( event @ A @ G )
                    & ( agent @ A @ G @ D )
                    & ( patient @ A @ G @ E )
                    & ( present @ A @ G )
                    & ( nonreflexive @ A @ G )
                    & ( scream @ A @ G )
                    & ( of @ A @ G @ F ) ) )
           => ? [A: $i] :
                ( ( actual_world @ A )
                & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                    ( ( male @ A @ D )
                    & ( male @ A @ B )
                    & ( man @ A @ B )
                    & ( of @ A @ C @ B )
                    & ( cannon @ A @ C )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ? [I: $i] :
                            ( ( event @ A @ I )
                            & ( agent @ A @ I @ B )
                            & ( patient @ A @ I @ H )
                            & ( present @ A @ I )
                            & ( nonreflexive @ A @ I )
                            & ( fire @ A @ I )
                            & ( from_loc @ A @ I @ C ) ) )
                    & ( six @ A @ D )
                    & ( group @ A @ D )
                    & ! [H: $i] :
                        ( ( member @ A @ H @ D )
                       => ( shot @ A @ H ) )
                    & ( revenge @ A @ E )
                    & ( cry @ A @ F )
                    & ( event @ A @ G )
                    & ( agent @ A @ G @ D )
                    & ( patient @ A @ G @ F )
                    & ( present @ A @ G )
                    & ( nonreflexive @ A @ G )
                    & ( scream @ A @ G )
                    & ( of @ A @ G @ E ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                ( ( male @ A @ D )
                & ( male @ A @ B )
                & ( man @ A @ B )
                & ( of @ A @ C @ B )
                & ( cannon @ A @ C )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ? [I: $i] :
                        ( ( event @ A @ I )
                        & ( agent @ A @ I @ B )
                        & ( patient @ A @ I @ H )
                        & ( present @ A @ I )
                        & ( nonreflexive @ A @ I )
                        & ( fire @ A @ I )
                        & ( from_loc @ A @ I @ C ) ) )
                & ( six @ A @ D )
                & ( group @ A @ D )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ( shot @ A @ H ) )
                & ( revenge @ A @ E )
                & ( cry @ A @ F )
                & ( event @ A @ G )
                & ( agent @ A @ G @ D )
                & ( patient @ A @ G @ F )
                & ( present @ A @ G )
                & ( nonreflexive @ A @ G )
                & ( scream @ A @ G )
                & ( of @ A @ G @ E ) ) )
       => ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                ( ( male @ A @ D )
                & ( male @ A @ B )
                & ( man @ A @ B )
                & ( of @ A @ C @ B )
                & ( cannon @ A @ C )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ? [I: $i] :
                        ( ( event @ A @ I )
                        & ( agent @ A @ I @ B )
                        & ( patient @ A @ I @ H )
                        & ( present @ A @ I )
                        & ( nonreflexive @ A @ I )
                        & ( fire @ A @ I )
                        & ( from_loc @ A @ I @ C ) ) )
                & ( six @ A @ D )
                & ( group @ A @ D )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ( shot @ A @ H ) )
                & ( cry @ A @ E )
                & ( revenge @ A @ F )
                & ( event @ A @ G )
                & ( agent @ A @ G @ D )
                & ( patient @ A @ G @ E )
                & ( present @ A @ G )
                & ( nonreflexive @ A @ G )
                & ( scream @ A @ G )
                & ( of @ A @ G @ F ) ) ) )
      & ( ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                ( ( male @ A @ D )
                & ( male @ A @ B )
                & ( man @ A @ B )
                & ( of @ A @ C @ B )
                & ( cannon @ A @ C )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ? [I: $i] :
                        ( ( event @ A @ I )
                        & ( agent @ A @ I @ B )
                        & ( patient @ A @ I @ H )
                        & ( present @ A @ I )
                        & ( nonreflexive @ A @ I )
                        & ( fire @ A @ I )
                        & ( from_loc @ A @ I @ C ) ) )
                & ( six @ A @ D )
                & ( group @ A @ D )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ( shot @ A @ H ) )
                & ( cry @ A @ E )
                & ( revenge @ A @ F )
                & ( event @ A @ G )
                & ( agent @ A @ G @ D )
                & ( patient @ A @ G @ E )
                & ( present @ A @ G )
                & ( nonreflexive @ A @ G )
                & ( scream @ A @ G )
                & ( of @ A @ G @ F ) ) )
       => ? [A: $i] :
            ( ( actual_world @ A )
            & ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
                ( ( male @ A @ D )
                & ( male @ A @ B )
                & ( man @ A @ B )
                & ( of @ A @ C @ B )
                & ( cannon @ A @ C )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ? [I: $i] :
                        ( ( event @ A @ I )
                        & ( agent @ A @ I @ B )
                        & ( patient @ A @ I @ H )
                        & ( present @ A @ I )
                        & ( nonreflexive @ A @ I )
                        & ( fire @ A @ I )
                        & ( from_loc @ A @ I @ C ) ) )
                & ( six @ A @ D )
                & ( group @ A @ D )
                & ! [H: $i] :
                    ( ( member @ A @ H @ D )
                   => ( shot @ A @ H ) )
                & ( revenge @ A @ E )
                & ( cry @ A @ F )
                & ( event @ A @ G )
                & ( agent @ A @ G @ D )
                & ( patient @ A @ G @ F )
                & ( present @ A @ G )
                & ( nonreflexive @ A @ G )
                & ( scream @ A @ G )
                & ( of @ A @ G @ E ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(80,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NLP080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16  % Command  : run_Leo-III %s %d
% 0.17/0.38  % Computer : n022.cluster.edu
% 0.17/0.38  % Model    : x86_64 x86_64
% 0.17/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.38  % Memory   : 8042.1875MB
% 0.17/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.38  % CPULimit : 300
% 0.17/0.38  % WCLimit  : 300
% 0.17/0.38  % DateTime : Thu May 18 14:39:18 EDT 2023
% 0.17/0.38  % CPUTime  : 
% 1.00/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.25/1.01  % [INFO] 	 Parsing done (125ms). 
% 1.25/1.02  % [INFO] 	 Running in sequential loop mode. 
% 1.76/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.76/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.76/1.23  % [INFO] 	 Scanning for conjecture ... 
% 2.13/1.33  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.24/1.38  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.24/1.38  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.24/1.38  % [INFO] 	 Type checking passed. 
% 2.24/1.38  % [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 ... 
% 4.31/2.04  % External prover 'e' found a proof!
% 4.31/2.04  % [INFO] 	 Killing All external provers ... 
% 4.31/2.04  % Time passed: 1491ms (effective reasoning time: 1022ms)
% 4.31/2.04  % 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)>
% 4.31/2.04  % Axioms used in derivation (0): 
% 4.31/2.04  % No. of inferences in proof: 4
% 4.31/2.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1491 ms resp. 1022 ms w/o parsing
% 4.81/2.09  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.81/2.09  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------