%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU917^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n014.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 03:44:14 EDT 2024

% Result   : Theorem 2.59s 1.63s
% Output   : Refutation 2.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   6 unt;   2 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   37 (   7   ~;   1   |;   0   &;  26   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   17 (   2   ^  12   !;   3   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk1_type,type,
    sk1: ( $i > $i ) > $i ).

thf(sk2_type,type,
    sk2: ( $i > $i ) > $i ).

thf(1,conjecture,
    ? [A: $i > $i] :
    ! [B: $i,C: $i] :
      ( ( ( A @ B )
        = ( A @ C ) )
     => ( B = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM8_pme) ).

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

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

thf(5,plain,
    ! [A: $i > $i] :
      ( ( A @ ( sk1 @ A ) )
      = ( A @ ( sk2 @ A ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(7,plain,
    ! [A: $i > $i] :
      ( ( A @ ( sk2 @ A ) )
      = ( A @ ( sk1 @ A ) ) ),
    inference(lifteq,[status(thm)],[5]) ).

thf(4,plain,
    ! [A: $i > $i] :
      ( ( sk1 @ A )
     != ( sk2 @ A ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    ! [A: $i > $i] :
      ( ( sk2 @ A )
     != ( sk1 @ A ) ),
    inference(lifteq,[status(thm)],[4]) ).

thf(8,plain,
    ! [B: $i > $i,A: $i > $i] :
      ( ( ( A @ ( sk1 @ A ) )
       != ( sk1 @ B ) )
      | ( ( A @ ( sk2 @ A ) )
       != ( sk2 @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[7,6]) ).

thf(11,plain,
    ( ( sk1
      @ ^ [A: $i] : A )
   != ( sk1
      @ ^ [A: $i] : A ) ),
    inference(pre_uni,[status(thm)],[8:[bind(A,$thf( ^ [C: $i] : C )),bind(B,$thf( ^ [C: $i] : C ))]]) ).

thf(12,plain,
    $false,
    inference(pattern_uni,[status(thm)],[11:[]]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU917^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n014.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 16:30:39 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.90/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 0.97/0.93  % [INFO] 	 Parsing done (99ms). 
% 1.20/0.93  % [INFO] 	 Running in sequential loop mode. 
% 1.63/1.15  % [INFO] 	 nitpick registered as external prover. 
% 1.63/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.63/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.63/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.84/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.84/1.23  % [INFO] 	 Type checking passed. 
% 1.84/1.23  % [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 ... 
% 2.59/1.63  % [INFO] 	 Killing All external provers ... 
% 2.59/1.63  % Time passed: 1129ms (effective reasoning time: 691ms)
% 2.59/1.63  % 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)>
% 2.59/1.63  % Axioms used in derivation (0): 
% 2.59/1.63  % No. of inferences in proof: 10
% 2.59/1.63  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1129 ms resp. 691 ms w/o parsing
% 2.88/1.66  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.88/1.66  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------