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Leo-III---1.8.0.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU630^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 08:28:50 AM UTC 2026

% Result   : Theorem 87.16s 19.93s
% Output   : Refutation 87.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  12 unt;   0 typ;   8 def)
%            Number of atoms       :  137 (  25 equ;   0 cnn)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  877 (  53   ~;  33   |;  26   &; 738   @)
%                                         (   0 <=>;  27  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  108 (  14   ^;  68   !;  22   ?; 108   :)
%                                         (   0  !>;   0  ?*;   0  @-;   4  @+)

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

thf(emptyset_decl,type,
    emptyset: $i ).

thf(setadjoin_decl,type,
    setadjoin: $i > $i > $i ).

thf(powerset_decl,type,
    powerset: $i > $i ).

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

thf(dsetconstrI_decl,type,
    dsetconstrI: $o ).

thf(binunion_decl,type,
    binunion: $i > $i > $i ).

thf(kpair_decl,type,
    kpair: $i > $i > $i ).

thf(cartprod_decl,type,
    cartprod: $i > $i > $i ).

thf(ubforcartprodlem3_decl,type,
    ubforcartprodlem3: $o ).

thf(sk1_decl,type,
    sk1: $i ).

thf(sk2_decl,type,
    sk2: $i ).

thf(sk3_decl,type,
    sk3: $i ).

thf(sk4_decl,type,
    sk4: $i ).

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

thf(kpair_def,definition,
    ( kpair
    = ( ^ [A: $i,B: $i] : ( setadjoin @ ( setadjoin @ A @ emptyset ) @ ( setadjoin @ ( setadjoin @ A @ ( setadjoin @ B @ emptyset ) ) @ emptyset ) ) ) ) ).

thf(cartprod_def,definition,
    ( cartprod
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
          @ ^ [C: $i] :
            ? [D: $i] :
              ( ( in @ D @ A )
              & ? [E: $i] :
                  ( ( in @ E @ B )
                  & ( C
                    = ( kpair @ D @ E ) ) ) ) ) ) ) ).

thf(ubforcartprodlem3_def,definition,
    ( ubforcartprodlem3
    = ( ! [A: $i,B: $i,C: $i] :
          ( ( in @ C @ A )
         => ! [D: $i] :
              ( ( in @ D @ B )
             => ( in @ ( kpair @ C @ D ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ) ) ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: $i] :
          ~ ! [B: $i,C: $i] :
              ( ( in @ C @ A )
             => ! [D: $i] :
                  ( ( in @ D @ B )
                 => ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) )
                    @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
                      @ ^ [E: $i] :
                        ? [F: $i] :
                          ( ( in @ F @ A )
                          & ? [G: $i] :
                              ( ( in @ G @ B )
                              & ( E
                                = ( setadjoin @ ( setadjoin @ F @ emptyset ) @ ( setadjoin @ ( setadjoin @ F @ ( setadjoin @ G @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: $i] :
          ~ ! [B: $i] :
              ( ( in @ B @ sk1 )
             => ! [C: $i] :
                  ( ( in @ C @ A )
                 => ( in @ ( setadjoin @ ( setadjoin @ B @ emptyset ) @ ( setadjoin @ ( setadjoin @ B @ ( setadjoin @ C @ emptyset ) ) @ emptyset ) )
                    @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ A ) ) )
                      @ ^ [D: $i] :
                        ? [E: $i] :
                          ( ( in @ E @ sk1 )
                          & ? [F: $i] :
                              ( ( in @ F @ A )
                              & ( D
                                = ( setadjoin @ ( setadjoin @ E @ emptyset ) @ ( setadjoin @ ( setadjoin @ E @ ( setadjoin @ F @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: $i] :
          ~ ( ( in @ A @ sk1 )
           => ! [B: $i] :
                ( ( in @ B @ sk2 )
               => ( in @ ( setadjoin @ ( setadjoin @ A @ emptyset ) @ ( setadjoin @ ( setadjoin @ A @ ( setadjoin @ B @ emptyset ) ) @ emptyset ) )
                  @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
                    @ ^ [C: $i] :
                      ? [D: $i] :
                        ( ( in @ D @ sk1 )
                        & ? [E: $i] :
                            ( ( in @ E @ sk2 )
                            & ( C
                              = ( setadjoin @ ( setadjoin @ D @ emptyset ) @ ( setadjoin @ ( setadjoin @ D @ ( setadjoin @ E @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( @+[A: $i] :
          ~ ( ( in @ A @ sk2 )
           => ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ A @ emptyset ) ) @ emptyset ) )
              @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
                @ ^ [B: $i] :
                  ? [C: $i] :
                    ( ( in @ C @ sk1 )
                    & ? [D: $i] :
                        ( ( in @ D @ sk2 )
                        & ( B
                          = ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ).

thf(1,conjecture,
    ( dsetconstrI
   => ( ubforcartprodlem3
     => ! [A: $i,B: $i,C: $i] :
          ( ( in @ C @ A )
         => ! [D: $i] :
              ( ( in @ D @ B )
             => ( in @ ( kpair @ C @ D ) @ ( cartprod @ A @ B ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairin) ).

thf(2,negated_conjecture,
    ~ ( dsetconstrI
     => ( ubforcartprodlem3
       => ! [A: $i,B: $i,C: $i] :
            ( ( in @ C @ A )
           => ! [D: $i] :
                ( ( in @ D @ B )
               => ( in @ ( kpair @ C @ D ) @ ( cartprod @ A @ B ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ( ! [A: $i,B: $i > $o,C: $i] :
          ( ( in @ C @ A )
         => ( ( B @ C )
           => ( in @ C @ ( dsetconstr @ A @ B ) ) ) )
     => ( ! [A: $i,B: $i,C: $i] :
            ( ( in @ C @ A )
           => ! [D: $i] :
                ( ( in @ D @ B )
               => ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) )
       => ! [A: $i,B: $i,C: $i] :
            ( ( in @ C @ A )
           => ! [D: $i] :
                ( ( in @ D @ B )
               => ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) )
                  @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) )
                    @ ^ [E: $i] :
                      ? [F: $i] :
                        ( ( in @ F @ A )
                        & ? [G: $i] :
                            ( ( in @ G @ B )
                            & ( E
                              = ( setadjoin @ ( setadjoin @ F @ emptyset ) @ ( setadjoin @ ( setadjoin @ F @ ( setadjoin @ G @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(4,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i > $o,A: $i] :
      ( ( ~ ( in @ C @ A )
        | ~ ( B @ C )
        | ( in @ C @ ( dsetconstr @ A @ B ) ) )
      & ( ~ ( in @ F @ D )
        | ~ ( in @ G @ E )
        | ( in @ ( setadjoin @ ( setadjoin @ F @ emptyset ) @ ( setadjoin @ ( setadjoin @ F @ ( setadjoin @ G @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ D @ E ) ) ) ) )
      & ( in @ sk3 @ sk1 )
      & ( in @ sk4 @ sk2 )
      & ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
          @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
            @ ^ [H: $i] :
              ? [I: $i] :
                ( ( in @ I @ sk1 )
                & ? [J: $i] :
                    ( ( in @ J @ sk2 )
                    & ( H
                      = ( setadjoin @ ( setadjoin @ I @ emptyset ) @ ( setadjoin @ ( setadjoin @ I @ ( setadjoin @ J @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( in @ D @ B )
      | ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(10,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( in @ D @ B )
      | ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ),
    inference(simp,[status(thm)],[9]) ).

thf(5,plain,
    ! [C: $i,B: $i > $o,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( B @ C )
      | ( in @ C @ ( dsetconstr @ A @ B ) ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(6,plain,
    ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
      @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
        @ ^ [A: $i] :
          ? [B: $i] :
            ( ( in @ B @ sk1 )
            & ? [C: $i] :
                ( ( in @ C @ sk2 )
                & ( A
                  = ( setadjoin @ ( setadjoin @ B @ emptyset ) @ ( setadjoin @ ( setadjoin @ B @ ( setadjoin @ C @ emptyset ) ) @ emptyset ) ) ) ) ) ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(22,plain,
    ! [C: $i,B: $i > $o,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( B @ C )
      | ~ $true
      | ( ( in @ C @ ( dsetconstr @ A @ B ) )
       != ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
          @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
            @ ^ [D: $i] :
              ? [E: $i] :
                ( ( in @ E @ sk1 )
                & ? [F: $i] :
                    ( ( in @ F @ sk2 )
                    & ( D
                      = ( setadjoin @ ( setadjoin @ E @ emptyset ) @ ( setadjoin @ ( setadjoin @ E @ ( setadjoin @ F @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[5,6]) ).

thf(23,plain,
    ! [C: $i,B: $i > $o,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( B @ C )
      | ( ( in @ C @ ( dsetconstr @ A @ B ) )
       != ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
          @ ( dsetconstr @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )
            @ ^ [D: $i] :
              ? [E: $i] :
                ( ( in @ E @ sk1 )
                & ? [F: $i] :
                    ( ( in @ F @ sk2 )
                    & ( D
                      = ( setadjoin @ ( setadjoin @ E @ emptyset ) @ ( setadjoin @ ( setadjoin @ E @ ( setadjoin @ F @ emptyset ) ) @ emptyset ) ) ) ) ) ) ) ) ),
    inference(simp,[status(thm)],[22]) ).

thf(24,plain,
    ( ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) )
    | ~ ? [A: $i] :
          ( ( in @ A @ sk1 )
          & ? [B: $i] :
              ( ( in @ B @ sk2 )
              & ( ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
                = ( setadjoin @ ( setadjoin @ A @ emptyset ) @ ( setadjoin @ ( setadjoin @ A @ ( setadjoin @ B @ emptyset ) ) @ emptyset ) ) ) ) ) ),
    inference(pattern_uni,[status(thm)],[23:[bind(A,$thf( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) )),bind(B,$thf( ^ [D: $i] : ? [E: $i] : ( ( in @ E @ sk1 ) & ? [F: $i] : ( ( in @ F @ sk2 ) & ( D = ( setadjoin @ ( setadjoin @ E @ emptyset ) @ ( setadjoin @ ( setadjoin @ E @ ( setadjoin @ F @ emptyset ) ) @ emptyset ) ) ) ) ) )),bind(C,$thf( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ))]]) ).

thf(67,plain,
    ! [B: $i,A: $i] :
      ( ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) )
      | ~ ( in @ A @ sk1 )
      | ~ ( in @ B @ sk2 )
      | ( ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
       != ( setadjoin @ ( setadjoin @ A @ emptyset ) @ ( setadjoin @ ( setadjoin @ A @ ( setadjoin @ B @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[24]) ).

thf(68,plain,
    ! [B: $i,A: $i] :
      ( ( ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) )
       != ( setadjoin @ ( setadjoin @ A @ emptyset ) @ ( setadjoin @ ( setadjoin @ A @ ( setadjoin @ B @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) )
      | ~ ( in @ A @ sk1 )
      | ~ ( in @ B @ sk2 ) ),
    inference(lifteq,[status(thm)],[67]) ).

thf(15546,plain,
    ( ~ ( in @ sk4 @ sk2 )
    | ~ ( in @ sk3 @ sk1 )
    | ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) ) ),
    inference(pattern_uni,[status(thm)],[68:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).

thf(7,plain,
    in @ sk3 @ sk1,
    inference(cnfConj,[status(thm)],[4]) ).

thf(8,plain,
    in @ sk4 @ sk2,
    inference(cnfConj,[status(thm)],[4]) ).

thf(17680,plain,
    ( ~ $true
    | ~ $true
    | ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) ) ),
    inference(rewrite,[status(thm)],[15546,7,8]) ).

thf(17681,plain,
    ~ ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) ),
    inference(simp,[status(thm)],[17680]) ).

thf(17700,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( in @ D @ B )
      | ~ $true
      | ( ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) )
       != ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[10,17681]) ).

thf(17701,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( in @ C @ A )
      | ~ ( in @ D @ B )
      | ( ( in @ ( setadjoin @ ( setadjoin @ C @ emptyset ) @ ( setadjoin @ ( setadjoin @ C @ ( setadjoin @ D @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) )
       != ( in @ ( setadjoin @ ( setadjoin @ sk3 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk3 @ ( setadjoin @ sk4 @ emptyset ) ) @ emptyset ) ) @ ( powerset @ ( powerset @ ( binunion @ sk1 @ sk2 ) ) ) ) ) ),
    inference(simp,[status(thm)],[17700]) ).

thf(17702,plain,
    ( ~ ( in @ sk3 @ sk1 )
    | ~ ( in @ sk4 @ sk2 ) ),
    inference(pattern_uni,[status(thm)],[17701:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 )),bind(C,$thf( sk3 )),bind(D,$thf( sk4 ))]]) ).

thf(17983,plain,
    ( ~ $true
    | ~ $true ),
    inference(rewrite,[status(thm)],[17702,7,8]) ).

thf(17984,plain,
    $false,
    inference(simp,[status(thm)],[17983]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU630^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.06  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.09/0.21  % Computer : n007.cluster.edu
% 0.09/0.21  % Model    : x86_64 x86_64
% 0.09/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21  % Memory   : 8046.5625MB
% 0.09/0.21  % OS       : Linux 6.8.0-71-generic
% 0.09/0.21  % CPULimit : 300
% 0.09/0.21  % WCLimit  : 300
% 0.09/0.21  % DateTime : Tue Sep 29 13:58:22 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.03/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.50/1.11  % [INFO] 	 Parsing done (220ms). 
% 1.50/1.13  % [INFO] 	 Running in sequential loop mode. 
% 2.33/1.55  % [INFO] 	 eprover registered as external prover. 
% 2.33/1.55  % [INFO] 	 Scanning for conjecture ... 
% 2.55/1.68  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.73/1.72  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.73/1.72  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.73/1.72  % [INFO] 	 Type checking passed. 
% 2.73/1.73  % [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 ... 
% 87.16/19.92  % [INFO] 	 Killing All external provers ... 
% 87.16/19.93  % Time passed: 19567ms (effective reasoning time: 18790ms)
% 87.16/19.93  % 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)>
% 87.16/19.93  % Axioms used in derivation (0): 
% 87.16/19.93  % No. of inferences in proof: 23
% 87.16/19.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 19567 ms resp. 18790 ms w/o parsing
% 87.16/19.99  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 87.16/19.99  % [INFO] 	 Killing All external provers ... 
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