%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEV221^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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 04:10:10 EDT 2024

% Result   : Theorem 2.82s 1.58s
% Output   : Refutation 2.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   4 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (   6 equ;   0 cnn)
%            Maximal formula atoms :    1 (   4 avg)
%            Number of connectives :   38 (   2   ~;   0   |;  15   &;  21   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   15 (   3   ^   3   !;   9   ?;  15   :)

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

thf(cZ_type,type,
    cZ: a > $o ).

thf(cW_type,type,
    cW: ( a > $o ) > $o ).

thf(1,conjecture,
    ! [A: a] :
      ( ( ? [B: a > $o] :
            ( ( cW @ B )
            & ( B @ A ) )
        & ( cZ @ A ) )
      = ( ? [B: a > $o] :
            ( ? [C: a > $o] :
                ( ( cW @ C )
                & ( B
                  = ( ^ [D: a] :
                        ( ( cZ @ D )
                        & ( C @ D ) ) ) ) )
            & ( B @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM61_pme) ).

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

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

thf(25,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : SEV221^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.09  % Command  : run_Leo-III %s %d
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Sun May 19 18:56:24 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.71/0.69  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 0.95/0.80  % [INFO] 	 Parsing done (104ms). 
% 0.95/0.81  % [INFO] 	 Running in sequential loop mode. 
% 1.30/1.02  % [INFO] 	 eprover registered as external prover. 
% 1.30/1.02  % [INFO] 	 cvc4 registered as external prover. 
% 1.30/1.03  % [INFO] 	 Scanning for conjecture ... 
% 1.49/1.09  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.55/1.11  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.55/1.11  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.55/1.11  % [INFO] 	 Type checking passed. 
% 1.55/1.12  % [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 ... 
% 2.82/1.57  % External prover 'e' found a proof!
% 2.82/1.57  % [INFO] 	 Killing All external provers ... 
% 2.82/1.57  % Time passed: 1178ms (effective reasoning time: 762ms)
% 2.82/1.57  % 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)>
% 2.82/1.57  % Axioms used in derivation (0): 
% 2.82/1.57  % No. of inferences in proof: 4
% 2.82/1.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1178 ms resp. 762 ms w/o parsing
% 2.82/1.60  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.82/1.60  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------