TSTP Solution File: GEO216+2 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : GEO216+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n024.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 20:06:20 EDT 2024

% Result   : Theorem 3.27s 1.92s
% Output   : Refutation 3.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  12 unt;   3 typ;   0 def)
%            Number of atoms       :   24 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   69 (  22   ~;   2   |;   3   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^  17   !;   3   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unorthogonal_lines_type,type,
    unorthogonal_lines: $i > $i > $o ).

thf(convergent_lines_type,type,
    convergent_lines: $i > $i > $o ).

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

thf(1,conjecture,
    ! [A: $i] :
      ~ ~ ( unorthogonal_lines @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ! [A: $i] :
        ~ ~ ( unorthogonal_lines @ A @ A ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(18,plain,
    ~ ! [A: $i] : ( unorthogonal_lines @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(19,plain,
    ~ ( unorthogonal_lines @ sk1 @ sk1 ),
    inference(cnf,[status(esa)],[18]) ).

thf(15,axiom,
    ! [A: $i,B: $i] :
      ~ ( ~ ( convergent_lines @ A @ B )
        & ~ ( unorthogonal_lines @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',coipo1) ).

thf(56,plain,
    ! [A: $i,B: $i] :
      ~ ( ~ ( convergent_lines @ A @ B )
        & ~ ( unorthogonal_lines @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(57,plain,
    ~ ? [A: $i,B: $i] :
        ( ~ ( convergent_lines @ A @ B )
        & ~ ( unorthogonal_lines @ A @ B ) ),
    inference(miniscope,[status(thm)],[56]) ).

thf(58,plain,
    ! [B: $i,A: $i] :
      ( ( convergent_lines @ A @ B )
      | ( unorthogonal_lines @ A @ B ) ),
    inference(cnf,[status(esa)],[57]) ).

thf(11,axiom,
    ! [A: $i] :
      ~ ( convergent_lines @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apart3) ).

thf(44,plain,
    ! [A: $i] :
      ~ ( convergent_lines @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(45,plain,
    ~ ? [A: $i] : ( convergent_lines @ A @ A ),
    inference(miniscope,[status(thm)],[44]) ).

thf(46,plain,
    ! [A: $i] :
      ~ ( convergent_lines @ A @ A ),
    inference(cnf,[status(esa)],[45]) ).

thf(73,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( unorthogonal_lines @ A @ B )
      | ( ( convergent_lines @ A @ B )
       != ( convergent_lines @ C @ C ) ) ),
    inference(paramod_ordered,[status(thm)],[58,46]) ).

thf(74,plain,
    ! [A: $i] : ( unorthogonal_lines @ A @ A ),
    inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( B )),bind(B,$thf( B )),bind(C,$thf( B ))]]) ).

thf(75,plain,
    ! [A: $i] : ( unorthogonal_lines @ A @ A ),
    inference(simp,[status(thm)],[74]) ).

thf(76,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[19,75]) ).

thf(77,plain,
    $false,
    inference(simp,[status(thm)],[76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : GEO216+2 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.14  % Command  : run_Leo-III %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sun May 19 14:18:23 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.96/0.88  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.25/1.03  % [INFO] 	 Parsing done (150ms). 
% 1.25/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.59/1.27  % [INFO] 	 nitpick registered as external prover. 
% 1.59/1.27  % [INFO] 	 Scanning for conjecture ... 
% 1.79/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 15 axioms. Running axiom selection ... 
% 1.79/1.36  % [INFO] 	 Axiom selection finished. Selected 15 axioms (removed 0 axioms). 
% 1.93/1.39  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 1.93/1.40  % [INFO] 	 Type checking passed. 
% 1.93/1.40  % [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 ... 
% 3.27/1.92  % [INFO] 	 Killing All external provers ... 
% 3.27/1.92  % Time passed: 1401ms (effective reasoning time: 872ms)
% 3.27/1.92  % 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)>
% 3.27/1.92  % Axioms used in derivation (2): coipo1, apart3
% 3.27/1.92  % No. of inferences in proof: 17
% 3.27/1.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1401 ms resp. 872 ms w/o parsing
% 3.27/1.95  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.27/1.95  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------