%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : SEU934^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n018.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 03:44:17 EDT 2024

% Result   : Theorem 2.35s 1.63s
% Output   : Refutation 2.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   29 (  28 equ;   0 cnn)
%            Maximal formula atoms :    2 (   2 avg)
%            Number of connectives :   11 (   6   ~;   2   |;   0   &;   0   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :   19 (  10   ^   9   !;   0   ?;  19   :)

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

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

thf(1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( ^ [C: $i] : ( C = A ) )
        = ( ^ [C: $i] : ( C = B ) ) )
     => ( A = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM14_pme) ).

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

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

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

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

thf(8,plain,
    ! [A: $i] :
      ( ( A = sk2 )
      = ( A = sk1 ) ),
    inference(func_ext,[status(esa)],[7]) ).

thf(11,plain,
    ! [A: $i] :
      ( ( A != sk2 )
      | ( A = sk1 ) ),
    inference(bool_ext,[status(thm)],[8]) ).

thf(13,plain,
    ! [A: $i] :
      ( ( A != sk2 )
      | ( A = sk1 ) ),
    inference(lifteq,[status(thm)],[11]) ).

thf(15,plain,
    sk2 = sk1,
    inference(simp,[status(thm)],[13]) ).

thf(4,plain,
    sk1 != sk2,
    inference(cnf,[status(esa)],[3]) ).

thf(6,plain,
    sk2 != sk1,
    inference(lifteq,[status(thm)],[4]) ).

thf(17,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[15,6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU934^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 17:25:38 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.12/0.99  % [INFO] 	 Parsing done (125ms). 
% 1.12/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.54/1.27  % [INFO] 	 nitpick registered as external prover. 
% 1.54/1.28  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.76/1.35  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.76/1.35  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.76/1.36  % [INFO] 	 Type checking passed. 
% 1.76/1.36  % [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 ... 
% 2.35/1.62  % [INFO] 	 Killing All external provers ... 
% 2.35/1.62  % Time passed: 1120ms (effective reasoning time: 620ms)
% 2.35/1.62  % 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)>
% 2.35/1.63  % Axioms used in derivation (0): 
% 2.35/1.63  % No. of inferences in proof: 12
% 2.35/1.63  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1120 ms resp. 620 ms w/o parsing
% 2.35/1.65  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.35/1.65  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------