%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU603^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 03:38:30 EDT 2024

% Result   : Theorem 2.80s 1.83s
% Output   : Refutation 2.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   10 (   3 unt;   4 typ;   2 def)
%            Number of atoms       :   16 (   2 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   49 (   7   ~;   0   |;   0   &;  34   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   19 (   4   ^  15   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(dsetconstrER_type,type,
    dsetconstrER: $o ).

thf(dsetconstrER_def,definition,
    ( dsetconstrER
    = ( ! [A: $i,B: $i > $o,C: $i] :
          ( ( in @ C @ ( dsetconstr @ A @ B ) )
         => ( B @ C ) ) ) ) ).

thf(setminus_type,type,
    setminus: $i > $i > $i ).

thf(setminus_def,definition,
    ( setminus
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [C: $i] :
              ~ ( in @ C @ B ) ) ) ) ).

thf(1,conjecture,
    ( dsetconstrER
   => ! [A: $i,B: $i,C: $i] :
        ( ( in @ C @ ( setminus @ A @ B ) )
       => ~ ( in @ C @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER) ).

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

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

thf(7,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem  : SEU603^2 : TPTP v8.2.0. Released v3.7.0.
% 0.08/0.14  % Command  : run_Leo-III %s %d
% 0.12/0.35  % Computer : n008.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Sun May 19 15:36:09 EDT 2024
% 0.12/0.35  % CPUTime  : 
% 0.81/0.82  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.09/0.95  % [INFO] 	 Parsing done (123ms). 
% 1.09/0.96  % [INFO] 	 Running in sequential loop mode. 
% 1.52/1.26  % [INFO] 	 eprover registered as external prover. 
% 1.52/1.26  % [INFO] 	 cvc4 registered as external prover. 
% 1.52/1.27  % [INFO] 	 Scanning for conjecture ... 
% 1.71/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.71/1.36  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.71/1.37  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.86/1.37  % [INFO] 	 Type checking passed. 
% 1.86/1.37  % [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 ... 
% 2.71/1.82  % External prover 'e' found a proof!
% 2.80/1.82  % [INFO] 	 Killing All external provers ... 
% 2.80/1.83  % Time passed: 1360ms (effective reasoning time: 858ms)
% 2.80/1.83  % 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)>
% 2.80/1.83  % Axioms used in derivation (0): 
% 2.80/1.83  % No. of inferences in proof: 4
% 2.80/1.83  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1360 ms resp. 858 ms w/o parsing
% 2.80/1.85  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.80/1.85  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------