%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU891^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n009.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 03:40:23 EDT 2024

% Result   : Theorem 2.92s 2.02s
% Output   : Refutation 3.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :    9 (   1 unt;   5 typ;   0 def)
%            Number of atoms       :   22 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :   41 (   2   ~;   6   |;   9   &;  21   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^   3   !;   9   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

thf(cF_type,type,
    cF: b > a ).

thf(cS_type,type,
    cS: b > $o ).

thf(cR_type,type,
    cR: b > $o ).

thf(1,conjecture,
    ! [A: a] :
      ( ( ? [B: b] :
            ( ( cR @ B )
            & ( A
              = ( cF @ B ) ) )
        | ? [B: b] :
            ( ( cS @ B )
            & ( A
              = ( cF @ B ) ) ) )
     => ? [B: b] :
          ( ( ( cR @ B )
            | ( cS @ B ) )
          & ( A
            = ( cF @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM34B_pme) ).

thf(2,negated_conjecture,
    ~ ! [A: a] :
        ( ( ? [B: b] :
              ( ( cR @ B )
              & ( A
                = ( cF @ B ) ) )
          | ? [B: b] :
              ( ( cS @ B )
              & ( A
                = ( cF @ B ) ) ) )
       => ? [B: b] :
            ( ( ( cR @ B )
              | ( cS @ B ) )
            & ( A
              = ( cF @ B ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ! [A: a] :
        ( ( ? [B: b] :
              ( ( cR @ B )
              & ( A
                = ( cF @ B ) ) )
          | ? [B: b] :
              ( ( cS @ B )
              & ( A
                = ( cF @ B ) ) ) )
       => ? [B: b] :
            ( ( ( cR @ B )
              | ( cS @ B ) )
            & ( A
              = ( cF @ B ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(15,plain,
    $false,
    inference(cvc4,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : SEU891^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.13  % Command  : run_Leo-III %s %d
% 0.11/0.33  % Computer : n009.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun May 19 17:45:40 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.99/0.95  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.31/1.10  % [INFO] 	 Parsing done (143ms). 
% 1.31/1.11  % [INFO] 	 Running in sequential loop mode. 
% 1.73/1.45  % [INFO] 	 eprover registered as external prover. 
% 1.73/1.45  % [INFO] 	 cvc4 registered as external prover. 
% 1.73/1.46  % [INFO] 	 Scanning for conjecture ... 
% 1.91/1.54  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.08/1.58  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.08/1.58  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.08/1.59  % [INFO] 	 Type checking passed. 
% 2.08/1.59  % [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 ... 
% 2.83/2.01  % External prover 'cvc4' found a proof!
% 2.92/2.01  % [INFO] 	 Killing All external provers ... 
% 2.92/2.01  % Time passed: 1538ms (effective reasoning time: 898ms)
% 2.92/2.01  % 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)>
% 2.92/2.01  % Axioms used in derivation (0): 
% 2.92/2.01  % No. of inferences in proof: 4
% 2.92/2.02  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1538 ms resp. 898 ms w/o parsing
% 3.01/2.05  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.01/2.05  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------