%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO256^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n028.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 08:56:14 EDT 2024

% Result   : Theorem 2.83s 1.59s
% Output   : Refutation 2.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   14 (   5 equ;   0 cnn)
%            Maximal formula atoms :    1 (   2 avg)
%            Number of connectives :   29 (   4   ~;   5   |;   0   &;  20   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^  16   !;   3   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk1_type,type,
    sk1: $o > $o ).

thf(sk2_type,type,
    sk2: a > $o ).

thf(sk3_type,type,
    sk3: a > $o ).

thf(1,conjecture,
    ! [A: $o > $o,B: a > $o,C: a > $o] :
    ? [D: $o] :
      ( ( A @ D )
      = ( A
        @ ! [E: a] :
            ( ( B @ E )
            | ( C @ E ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM121) ).

thf(2,negated_conjecture,
    ~ ! [A: $o > $o,B: a > $o,C: a > $o] :
      ? [D: $o] :
        ( ( A @ D )
        = ( A
          @ ! [E: a] :
              ( ( B @ E )
              | ( C @ E ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: $o > $o,B: a > $o,C: a > $o] :
      ? [D: $o] :
        ( ( A @ D )
        = ( A
          @ ! [E: a] :
              ( ( B @ E )
              | ( C @ E ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ! [A: $o] :
      ( ( sk1 @ A )
     != ( sk1
        @ ! [B: a] :
            ( ( sk2 @ B )
            | ( sk3 @ B ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(5,plain,
    ! [A: $o] :
      ( ( sk1 @ A )
     != ( sk1
        @ ! [B: a] :
            ( ( sk2 @ B )
            | ( sk3 @ B ) ) ) ),
    inference(lifteq,[status(thm)],[4]) ).

thf(7,plain,
    $false,
    inference(pattern_uni,[status(thm)],[5:[bind(A,$thf( ! [B: a] : ( ( sk2 @ B ) | ( sk3 @ B ) ) ))]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYO256^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n028.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 : Mon May 20 10:23:39 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.97/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.16/0.96  % [INFO] 	 Parsing done (89ms). 
% 1.16/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.65/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.65/1.16  % [INFO] 	 cvc4 registered as external prover. 
% 1.65/1.17  % [INFO] 	 Scanning for conjecture ... 
% 1.65/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.65/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.65/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.65/1.23  % [INFO] 	 Type checking passed. 
% 1.65/1.23  % [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 ... 
% 2.83/1.59  % [INFO] 	 Killing All external provers ... 
% 2.83/1.59  % Time passed: 1052ms (effective reasoning time: 616ms)
% 2.83/1.59  % 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)>
% 2.83/1.59  % Axioms used in derivation (0): 
% 2.83/1.59  % No. of inferences in proof: 6
% 2.83/1.59  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1052 ms resp. 616 ms w/o parsing
% 2.83/1.61  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.83/1.61  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------