%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% 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 21 05:51:34 EDT 2024

% Result   : Theorem 3.39s 1.88s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   19 (   3 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   55 (   6   ~;   3   |;   0   &;  40   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :   13 (   0   ^  12   !;   1   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pair_in_list_type,type,
    pair_in_list: $i > $i > $i > $o ).

thf(create_slb_type,type,
    create_slb: $i ).

thf(contains_slb_type,type,
    contains_slb: $i > $i > $o ).

thf(remove_slb_type,type,
    remove_slb: $i > $i > $i ).

thf(sk3_type,type,
    sk3: $i ).

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( pair_in_list @ create_slb @ A @ B )
     => ! [C: $i] :
          ( ( contains_slb @ create_slb @ C )
         => ( ( pair_in_list @ ( remove_slb @ create_slb @ C ) @ A @ B )
            | ( A = C ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_co) ).

thf(2,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( pair_in_list @ create_slb @ A @ B )
       => ! [C: $i] :
            ( ( contains_slb @ create_slb @ C )
           => ( ( pair_in_list @ ( remove_slb @ create_slb @ C ) @ A @ B )
              | ( A = C ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(21,plain,
    ~ ! [A: $i,B: $i] :
        ( ( pair_in_list @ create_slb @ A @ B )
       => ! [C: $i] :
            ( ( contains_slb @ create_slb @ C )
           => ( ( pair_in_list @ ( remove_slb @ create_slb @ C ) @ A @ B )
              | ( A = C ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(24,plain,
    contains_slb @ create_slb @ sk3,
    inference(cnf,[status(esa)],[21]) ).

thf(13,axiom,
    ! [A: $i] :
      ~ ( contains_slb @ create_slb @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

thf(61,plain,
    ! [A: $i] :
      ~ ( contains_slb @ create_slb @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(62,plain,
    ~ ? [A: $i] : ( contains_slb @ create_slb @ A ),
    inference(miniscope,[status(thm)],[61]) ).

thf(63,plain,
    ! [A: $i] :
      ~ ( contains_slb @ create_slb @ A ),
    inference(cnf,[status(esa)],[62]) ).

thf(97,plain,
    $false,
    inference(rewrite,[status(thm)],[24,63]) ).

thf(98,plain,
    $false,
    inference(simp,[status(thm)],[97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV392+1 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun May 19 09:10:54 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.82/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.15/0.98  % [INFO] 	 Parsing done (124ms). 
% 1.15/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.77/1.21  % [INFO] 	 nitpick registered as external prover. 
% 1.77/1.22  % [INFO] 	 Scanning for conjecture ... 
% 1.84/1.28  % [INFO] 	 Found a conjecture (or negated_conjecture) and 18 axioms. Running axiom selection ... 
% 2.11/1.33  % [INFO] 	 Axiom selection finished. Selected 18 axioms (removed 0 axioms). 
% 2.11/1.36  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.11/1.36  % [INFO] 	 Type checking passed. 
% 2.11/1.37  % [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 ... 
% 3.39/1.88  % [INFO] 	 Killing All external provers ... 
% 3.39/1.88  % Time passed: 1359ms (effective reasoning time: 890ms)
% 3.39/1.88  % 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)>
% 3.39/1.88  % Axioms used in derivation (1): ax20
% 3.39/1.88  % No. of inferences in proof: 10
% 3.39/1.88  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1359 ms resp. 890 ms w/o parsing
% 3.39/1.90  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.39/1.90  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------