TSTP Solution File: GEO229+1 by Leo-III-SAT---1.7.10

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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 : Tue May  7 10:31:44 EDT 2024

% Result   : Theorem 3.15s 1.70s
% Output   : Refutation 3.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :    6 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   20 (   6   ~;   0   |;   0   &;  12   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unequally_directed_lines_type,type,
    unequally_directed_lines: $i > $i > $o ).

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

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ~ ( unequally_directed_lines @ A @ ( reverse_line @ B ) )
     => ~ ( unequally_directed_lines @ A @ ( reverse_line @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ~ ( unequally_directed_lines @ A @ ( reverse_line @ B ) )
       => ~ ( unequally_directed_lines @ A @ ( reverse_line @ B ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(34,plain,
    ~ $true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(35,plain,
    $false,
    inference(simp,[status(thm)],[34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO229+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.15/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n021.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Tue May  7 01:34:24 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.94/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.28/0.99  % [INFO] 	 Parsing done (128ms). 
% 1.28/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.78/1.20  % [INFO] 	 nitpick registered as external prover. 
% 1.78/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.93/1.26  % [INFO] 	 Found a conjecture and 31 axioms. Running axiom selection ... 
% 1.93/1.31  % [INFO] 	 Axiom selection finished. Selected 31 axioms (removed 0 axioms). 
% 2.33/1.35  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.33/1.36  % [INFO] 	 Type checking passed. 
% 2.33/1.36  % [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 ... 
% 3.15/1.69  % [INFO] 	 Killing All external provers ... 
% 3.15/1.70  % Time passed: 1162ms (effective reasoning time: 697ms)
% 3.15/1.70  % 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)>
% 3.15/1.70  % Axioms used in derivation (0): 
% 3.15/1.70  % No. of inferences in proof: 4
% 3.15/1.70  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1162 ms resp. 697 ms w/o parsing
% 3.15/1.72  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.15/1.72  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------