TSTP Solution File: GEO256+3 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : GEO256+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 : Mon May 20 20:06:34 EDT 2024

% Result   : Theorem 4.58s 2.45s
% Output   : Refutation 4.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   18 (   4 unt;   7 typ;   0 def)
%            Number of atoms       :   38 (   0 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  121 (   7   ~;   7   |;  12   &;  87   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   30 (   0   ^  25   !;   5   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(distinct_points_type,type,
    distinct_points: $i > $i > $o ).

thf(incident_point_and_line_type,type,
    incident_point_and_line: $i > $i > $o ).

thf(left_apart_point_type,type,
    left_apart_point: $i > $i > $o ).

thf(before_on_line_type,type,
    before_on_line: $i > $i > $i > $o ).

thf(reverse_line_type,type,
    reverse_line: $i > $i ).

thf(sk1_type,type,
    sk1: $i ).

thf(sk5_type,type,
    sk5: $i ).

thf(1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( ( distinct_points @ B @ D )
        & ( distinct_points @ C @ D )
        & ( incident_point_and_line @ D @ A )
        & ( left_apart_point @ E @ A ) )
     => ( ( before_on_line @ A @ B @ C )
       => ( ( before_on_line @ A @ B @ D )
          | ( before_on_line @ A @ D @ C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
        ( ( ( distinct_points @ B @ D )
          & ( distinct_points @ C @ D )
          & ( incident_point_and_line @ D @ A )
          & ( left_apart_point @ E @ A ) )
       => ( ( before_on_line @ A @ B @ C )
         => ( ( before_on_line @ A @ B @ D )
            | ( before_on_line @ A @ D @ C ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(39,plain,
    ~ ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
        ( ( ( distinct_points @ B @ D )
          & ( distinct_points @ C @ D )
          & ( incident_point_and_line @ D @ A )
          & ( left_apart_point @ E @ A ) )
       => ( ( before_on_line @ A @ B @ C )
         => ( ( before_on_line @ A @ B @ D )
            | ( before_on_line @ A @ D @ C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(40,plain,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( ( distinct_points @ B @ D )
          & ( distinct_points @ C @ D )
          & ( incident_point_and_line @ D @ A )
          & ? [E: $i] : ( left_apart_point @ E @ A ) )
       => ( ( before_on_line @ A @ B @ C )
         => ( ( before_on_line @ A @ B @ D )
            | ( before_on_line @ A @ D @ C ) ) ) ),
    inference(miniscope,[status(thm)],[39]) ).

thf(41,plain,
    left_apart_point @ sk5 @ sk1,
    inference(cnf,[status(esa)],[40]) ).

thf(28,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( left_apart_point @ A @ B )
        | ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10_basics) ).

thf(141,plain,
    ! [A: $i,B: $i] :
      ~ ( ( left_apart_point @ A @ B )
        | ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(142,plain,
    ~ ( ? [A: $i,B: $i] : ( left_apart_point @ A @ B )
      | ? [A: $i,B: $i] : ( left_apart_point @ A @ ( reverse_line @ B ) ) ),
    inference(miniscope,[status(thm)],[141]) ).

thf(144,plain,
    ! [B: $i,A: $i] :
      ~ ( left_apart_point @ A @ B ),
    inference(cnf,[status(esa)],[142]) ).

thf(192,plain,
    $false,
    inference(rewrite,[status(thm)],[41,144]) ).

thf(193,plain,
    $false,
    inference(simp,[status(thm)],[192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : GEO256+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : run_Leo-III %s %d
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sun May 19 14:53:09 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 1.00/0.94  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.35/1.10  % [INFO] 	 Parsing done (159ms). 
% 1.35/1.12  % [INFO] 	 Running in sequential loop mode. 
% 1.91/1.42  % [INFO] 	 nitpick registered as external prover. 
% 1.91/1.43  % [INFO] 	 Scanning for conjecture ... 
% 2.17/1.51  % [INFO] 	 Found a conjecture (or negated_conjecture) and 36 axioms. Running axiom selection ... 
% 2.25/1.58  % [INFO] 	 Axiom selection finished. Selected 36 axioms (removed 0 axioms). 
% 2.54/1.65  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.54/1.66  % [INFO] 	 Type checking passed. 
% 2.54/1.66  % [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 ... 
% 4.58/2.44  % [INFO] 	 Killing All external provers ... 
% 4.58/2.45  % Time passed: 1999ms (effective reasoning time: 1324ms)
% 4.58/2.45  % 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)>
% 4.58/2.45  % Axioms used in derivation (1): ax10_basics
% 4.58/2.45  % No. of inferences in proof: 11
% 4.58/2.45  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1999 ms resp. 1324 ms w/o parsing
% 4.58/2.48  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.58/2.48  % [INFO] 	 Killing All external provers ... 
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