%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SEU799^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n025.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 03:39:59 EDT 2024

% Result   : Theorem 2.85s 1.65s
% Output   : Refutation 2.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   12 (   3 unt;   6 typ;   2 def)
%            Number of atoms       :   18 (   2 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   56 (   2   ~;   0   |;   0   &;  46   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-3 aty)
%            Number of variables   :   17 (   2   ^  15   !;   0   ?;  17   :)

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

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

thf(dsetconstrEL_type,type,
    dsetconstrEL: $o ).

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

thf(funcSet_type,type,
    funcSet: $i > $i > $i ).

thf(injective_type,type,
    injective: $i > $i > $i > $o ).

thf(injFuncSet_type,type,
    injFuncSet: $i > $i > $i ).

thf(injFuncSet_def,definition,
    ( injFuncSet
    = ( ^ [A: $i,B: $i] : ( dsetconstr @ ( funcSet @ A @ B ) @ ( injective @ A @ B ) ) ) ) ).

thf(1,conjecture,
    ( dsetconstrEL
   => ! [A: $i,B: $i,C: $i] :
        ( ( in @ C @ ( injFuncSet @ A @ B ) )
       => ( in @ C @ ( funcSet @ A @ B ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',injFuncSetFuncIn) ).

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

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

thf(10,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU799^2 : TPTP v8.2.0. Released v3.7.0.
% 0.16/0.16  % Command  : run_Leo-III %s %d
% 0.22/0.37  % Computer : n025.cluster.edu
% 0.22/0.37  % Model    : x86_64 x86_64
% 0.22/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.37  % Memory   : 8042.1875MB
% 0.22/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.22/0.37  % CPULimit : 300
% 0.22/0.37  % WCLimit  : 300
% 0.22/0.37  % DateTime : Sun May 19 17:23:54 EDT 2024
% 0.22/0.37  % CPUTime  : 
% 1.05/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.35/1.04  % [INFO] 	 Parsing done (108ms). 
% 1.35/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.73/1.26  % [INFO] 	 eprover registered as external prover. 
% 1.73/1.26  % [INFO] 	 cvc4 registered as external prover. 
% 1.73/1.26  % [INFO] 	 Scanning for conjecture ... 
% 1.92/1.33  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 1.92/1.35  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 1.92/1.35  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 1.92/1.35  % [INFO] 	 Type checking passed. 
% 1.92/1.35  % [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 ... 
% 2.85/1.65  % External prover 'e' found a proof!
% 2.85/1.65  % [INFO] 	 Killing All external provers ... 
% 2.85/1.65  % Time passed: 1101ms (effective reasoning time: 595ms)
% 2.85/1.65  % 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)>
% 2.85/1.65  % Axioms used in derivation (0): 
% 2.85/1.65  % No. of inferences in proof: 4
% 2.85/1.65  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1101 ms resp. 595 ms w/o parsing
% 2.97/1.71  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.97/1.71  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------