%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SEV220^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n029.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 : Mon Jun 24 15:58:32 EDT 2024

% Result   : Theorem 2.91s 1.62s
% Output   : Refutation 2.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    4 (   1 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   41 (   2   ~;   0   |;   9   &;  21   @)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   7 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :   21 (   3   ^   9   !;   9   ?;  21   :)

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

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

thf(f_type,type,
    f: b > a ).

thf(w_type,type,
    w: ( b > $o ) > $o ).

thf(1,conjecture,
    ! [A: a] :
      ( ? [B: b] :
          ( ! [C: b > $o] :
              ( ( w @ C )
             => ( C @ B ) )
          & ( A
            = ( f @ B ) ) )
     => ! [B: a > $o] :
          ( ? [C: b > $o] :
              ( ( w @ C )
              & ( B
                = ( ^ [D: a] :
                    ? [E: b] :
                      ( ( C @ E )
                      & ( D
                        = ( f @ E ) ) ) ) ) )
         => ( B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5205_pme) ).

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

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

thf(12,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SEV220^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.11  % Command  : run_Leo-III %s %d THM
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri Jun 21 19:42:10 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.86/0.85  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.20/0.95  % [INFO] 	 Parsing done (98ms). 
% 1.20/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.50/1.16  % [INFO] 	 eprover registered as external prover. 
% 1.50/1.16  % [INFO] 	 Scanning for conjecture ... 
% 1.76/1.21  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.86/1.23  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.86/1.23  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.88/1.24  % [INFO] 	 Type checking passed. 
% 1.88/1.24  % [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 ... 
% 2.69/1.57  % External prover 'e' found a proof!
% 2.69/1.57  % [INFO] 	 Killing All external provers ... 
% 2.69/1.57  % Time passed: 1060ms (effective reasoning time: 612ms)
% 2.69/1.57  % 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)>
% 2.91/1.61  % Axioms used in derivation (0): 
% 2.91/1.61  % No. of inferences in proof: 4
% 2.91/1.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1060 ms resp. 612 ms w/o parsing
% 2.91/1.64  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.91/1.64  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------