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

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SEU968^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n013.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 08:29:39 AM UTC 2026

% Result   : Theorem 52.37s 12.94s
% Output   : Refutation 52.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   45 (  15 unt;   0 typ;   6 def)
%            Number of atoms       :   98 (  20 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  576 (  67   ~;  63   |;  31   &; 367   @)
%                                         (   0 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  127 ( 127   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  201 ( 121   ^;  74   !;   0   ?; 201   :)
%                                         (   0  !>;   0  ?*;   0  @-;   6  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf(sk1_decl,type,
    sk1: a > a ).

thf(sk2_decl,type,
    sk2: a > a ).

thf(sk3_decl,type,
    sk3: a > a ).

thf(sk4_decl,type,
    sk4: ( ( a > a ) > $o ) > a > a ).

thf(sk5_decl,type,
    sk5: ( ( a > a ) > $o ) > a > a ).

thf(sk6_decl,type,
    sk6: ( a > a ) > $o ).

thf(sk1_def,definition,
    ( sk1
    = ( @+[A: a > a] :
          ~ ! [B: a > a,C: a > a] :
              ( ( ! [D: ( a > a ) > $o] :
                    ( ( ( D
                        @ ^ [E: a] : E )
                      & ! [E: a > a] :
                          ( ( D @ E )
                         => ( D
                            @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
                   => ( D @ B ) )
                & ! [D: ( a > a ) > $o] :
                    ( ( ( D
                        @ ^ [E: a] : E )
                      & ! [E: a > a] :
                          ( ( D @ E )
                         => ( D
                            @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
                   => ( D @ C ) ) )
             => ! [D: ( a > a ) > $o] :
                  ( ( ( D
                      @ ^ [E: a] : E )
                    & ! [E: a > a] :
                        ( ( D @ E )
                       => ( D
                          @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
                 => ( D
                    @ ^ [E: a] : ( B @ ( C @ E ) ) ) ) ) ) ) ).

thf(sk2_def,definition,
    ( sk2
    = ( @+[A: a > a] :
          ~ ! [B: a > a] :
              ( ( ! [C: ( a > a ) > $o] :
                    ( ( ( C
                        @ ^ [D: a] : D )
                      & ! [D: a > a] :
                          ( ( C @ D )
                         => ( C
                            @ ^ [E: a] : ( sk1 @ ( D @ E ) ) ) ) )
                   => ( C @ A ) )
                & ! [C: ( a > a ) > $o] :
                    ( ( ( C
                        @ ^ [D: a] : D )
                      & ! [D: a > a] :
                          ( ( C @ D )
                         => ( C
                            @ ^ [E: a] : ( sk1 @ ( D @ E ) ) ) ) )
                   => ( C @ B ) ) )
             => ! [C: ( a > a ) > $o] :
                  ( ( ( C
                      @ ^ [D: a] : D )
                    & ! [D: a > a] :
                        ( ( C @ D )
                       => ( C
                          @ ^ [E: a] : ( sk1 @ ( D @ E ) ) ) ) )
                 => ( C
                    @ ^ [D: a] : ( A @ ( B @ D ) ) ) ) ) ) ) ).

thf(sk3_def,definition,
    ( sk3
    = ( @+[A: a > a] :
          ~ ( ( ! [B: ( a > a ) > $o] :
                  ( ( ( B
                      @ ^ [C: a] : C )
                    & ! [C: a > a] :
                        ( ( B @ C )
                       => ( B
                          @ ^ [D: a] : ( sk1 @ ( C @ D ) ) ) ) )
                 => ( B @ sk2 ) )
              & ! [B: ( a > a ) > $o] :
                  ( ( ( B
                      @ ^ [C: a] : C )
                    & ! [C: a > a] :
                        ( ( B @ C )
                       => ( B
                          @ ^ [D: a] : ( sk1 @ ( C @ D ) ) ) ) )
                 => ( B @ A ) ) )
           => ! [B: ( a > a ) > $o] :
                ( ( ( B
                    @ ^ [C: a] : C )
                  & ! [C: a > a] :
                      ( ( B @ C )
                     => ( B
                        @ ^ [D: a] : ( sk1 @ ( C @ D ) ) ) ) )
               => ( B
                  @ ^ [C: a] : ( sk2 @ ( A @ C ) ) ) ) ) ) ) ).

thf(sk4_def,definition,
    ( sk4
    = ( ^ [A: ( a > a ) > $o] :
        @+[B: a > a] :
          ~ ( ( A @ B )
           => ( A
              @ ^ [C: a] : ( sk1 @ ( B @ C ) ) ) ) ) ) ).

thf(sk5_def,definition,
    ( sk5
    = ( ^ [A: ( a > a ) > $o] :
        @+[B: a > a] :
          ~ ( ( A @ B )
           => ( A
              @ ^ [C: a] : ( sk1 @ ( B @ C ) ) ) ) ) ) ).

thf(sk6_def,definition,
    ( sk6
    = ( @+[A: ( a > a ) > $o] :
          ~ ( ( ( A
                @ ^ [B: a] : B )
              & ! [B: a > a] :
                  ( ( A @ B )
                 => ( A
                    @ ^ [C: a] : ( sk1 @ ( B @ C ) ) ) ) )
           => ( A
              @ ^ [B: a] : ( sk2 @ ( sk3 @ B ) ) ) ) ) ) ).

thf(1,conjecture,
    ( ! [A: a > a] : ( A = A )
   => ! [A: a > a,B: a > a,C: a > a] :
        ( ( ! [D: ( a > a ) > $o] :
              ( ( ( D
                  @ ^ [E: a] : E )
                & ! [E: a > a] :
                    ( ( D @ E )
                   => ( D
                      @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
             => ( D @ B ) )
          & ! [D: ( a > a ) > $o] :
              ( ( ( D
                  @ ^ [E: a] : E )
                & ! [E: a > a] :
                    ( ( D @ E )
                   => ( D
                      @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
             => ( D @ C ) ) )
       => ! [D: ( a > a ) > $o] :
            ( ( ( D
                @ ^ [E: a] : E )
              & ! [E: a > a] :
                  ( ( D @ E )
                 => ( D
                    @ ^ [F: a] : ( A @ ( E @ F ) ) ) ) )
           => ( D
              @ ^ [E: a] : ( B @ ( C @ E ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM135C_pme) ).

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

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

thf(4,plain,
    ! [C: a > a,B: ( a > a ) > $o,A: ( a > a ) > $o] :
      ( ( ~ ( A
            @ ^ [D: a] : D )
        | ( A @ ( sk4 @ A ) )
        | ( A @ sk2 ) )
      & ( ~ ( A
            @ ^ [D: a] : D )
        | ~ ( A
            @ ^ [D: a] : ( sk1 @ ( sk4 @ A @ D ) ) )
        | ( A @ sk2 ) )
      & ( ~ ( B
            @ ^ [D: a] : D )
        | ( B @ ( sk5 @ B ) )
        | ( B @ sk3 ) )
      & ( ~ ( B
            @ ^ [D: a] : D )
        | ~ ( B
            @ ^ [D: a] : ( sk1 @ ( sk5 @ B @ D ) ) )
        | ( B @ sk3 ) )
      & ( sk6
        @ ^ [D: a] : D )
      & ( ~ ( sk6 @ C )
        | ( sk6
          @ ^ [D: a] : ( sk1 @ ( C @ D ) ) ) )
      & ~ ( sk6
          @ ^ [D: a] : ( sk2 @ ( sk3 @ D ) ) ) ),
    inference(cnf,[status(esa)],[3]) ).

thf(9,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ( A @ ( sk4 @ A ) )
      | ( A @ sk2 ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(10,plain,
    ! [A: a > a] :
      ( ~ ( sk6 @ A )
      | ( sk6
        @ ^ [B: a] : ( sk1 @ ( A @ B ) ) ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(16,plain,
    ! [A: a > a] :
      ( ~ ( sk6 @ A )
      | ( sk6
        @ ^ [B: a] : ( sk1 @ ( A @ B ) ) ) ),
    inference(simp,[status(thm)],[10]) ).

thf(8,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ~ ( A
          @ ^ [B: a] : ( sk1 @ ( sk4 @ A @ B ) ) )
      | ( A @ sk2 ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(5,plain,
    ~ ( sk6
      @ ^ [A: a] : ( sk2 @ ( sk3 @ A ) ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(31,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ~ ( A
          @ ^ [B: a] : ( sk1 @ ( sk4 @ A @ B ) ) )
      | ~ $true
      | ( ( A @ sk2 )
       != ( sk6
          @ ^ [B: a] : ( sk2 @ ( sk3 @ B ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[8,5]) ).

thf(32,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ~ ( A
          @ ^ [B: a] : ( sk1 @ ( sk4 @ A @ B ) ) )
      | ( ( A @ sk2 )
       != ( sk6
          @ ^ [B: a] : ( sk2 @ ( sk3 @ B ) ) ) ) ),
    inference(simp,[status(thm)],[31]) ).

thf(69,plain,
    ( ~ ( sk6 @ sk3 )
    | ~ ( sk6
        @ ^ [A: a] :
            ( sk1
            @ ( sk4
              @ ^ [B: a > a] :
                  ( sk6
                  @ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
              @ ( sk3 @ A ) ) ) ) ),
    inference(pre_uni,[status(thm)],[32:[bind(A,$thf( ^ [B: a > a] : ( sk6 @ ^ [C: a] : ( B @ ( sk3 @ C ) ) ) ))]]) ).

thf(7,plain,
    ( sk6
    @ ^ [A: a] : A ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(6,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ( A @ ( sk5 @ A ) )
      | ( A @ sk3 ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(19,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ( A @ ( sk5 @ A ) )
      | ( A @ sk3 ) ),
    inference(simp,[status(thm)],[6]) ).

thf(459,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ $true
      | ( A @ ( sk5 @ A ) )
      | ( A @ sk3 )
      | ( ( sk6
          @ ^ [B: a] : B )
       != ( A
          @ ^ [B: a] : B ) ) ),
    inference(paramod_ordered,[status(thm)],[7,19]) ).

thf(460,plain,
    ! [A: ( a > a ) > $o] :
      ( ( A @ ( sk5 @ A ) )
      | ( A @ sk3 )
      | ( ( sk6
          @ ^ [B: a] : B )
       != ( A
          @ ^ [B: a] : B ) ) ),
    inference(simp,[status(thm)],[459]) ).

thf(528,plain,
    ( ( sk6 @ ( sk5 @ sk6 ) )
    | ( sk6 @ sk3 ) ),
    inference(pre_uni,[status(thm)],[460:[bind(A,$thf( sk6 ))]]) ).

thf(684,plain,
    ! [A: a > a] :
      ( ( sk6 @ sk3 )
      | ~ $true
      | ( sk6
        @ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
      | ( ( sk6 @ ( sk5 @ sk6 ) )
       != ( sk6 @ A ) ) ),
    inference(paramod_ordered,[status(thm)],[528,16]) ).

thf(685,plain,
    ! [A: a > a] :
      ( ( sk6 @ sk3 )
      | ( sk6
        @ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
      | ( ( sk6 @ ( sk5 @ sk6 ) )
       != ( sk6 @ A ) ) ),
    inference(simp,[status(thm)],[684]) ).

thf(686,plain,
    ( ( sk6 @ sk3 )
    | ( sk6
      @ ^ [A: a] : ( sk1 @ ( sk5 @ sk6 @ A ) ) ) ),
    inference(pattern_uni,[status(thm)],[685:[bind(A,$thf( sk5 @ sk6 ))]]) ).

thf(11,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ~ ( A
          @ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) )
      | ( A @ sk3 ) ),
    inference(cnfConj,[status(thm)],[4]) ).

thf(24,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ~ ( A
          @ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) )
      | ( A @ sk3 ) ),
    inference(simp,[status(thm)],[11]) ).

thf(2315,plain,
    ! [A: ( a > a ) > $o] :
      ( ( sk6 @ sk3 )
      | ~ ( A
          @ ^ [B: a] : B )
      | ~ $true
      | ( A @ sk3 )
      | ( ( sk6
          @ ^ [B: a] : ( sk1 @ ( sk5 @ sk6 @ B ) ) )
       != ( A
          @ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[686,24]) ).

thf(2316,plain,
    ! [A: ( a > a ) > $o] :
      ( ( sk6 @ sk3 )
      | ~ ( A
          @ ^ [B: a] : B )
      | ( A @ sk3 )
      | ( ( sk6
          @ ^ [B: a] : ( sk1 @ ( sk5 @ sk6 @ B ) ) )
       != ( A
          @ ^ [B: a] : ( sk1 @ ( sk5 @ A @ B ) ) ) ) ),
    inference(simp,[status(thm)],[2315]) ).

thf(2383,plain,
    ( ( sk6 @ sk3 )
    | ~ ( sk6
        @ ^ [A: a] : A )
    | ( sk6 @ sk3 ) ),
    inference(pre_uni,[status(thm)],[2316:[bind(A,$thf( sk6 ))]]) ).

thf(2420,plain,
    ( ( sk6 @ sk3 )
    | ~ ( sk6
        @ ^ [A: a] : A ) ),
    inference(simp,[status(thm)],[2383]) ).

thf(2427,plain,
    ( ( sk6 @ sk3 )
    | ~ $true ),
    inference(rewrite,[status(thm)],[2420,7]) ).

thf(2428,plain,
    sk6 @ sk3,
    inference(simp,[status(thm)],[2427]) ).

thf(2431,plain,
    ( ~ $true
    | ~ ( sk6
        @ ^ [A: a] :
            ( sk1
            @ ( sk4
              @ ^ [B: a > a] :
                  ( sk6
                  @ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
              @ ( sk3 @ A ) ) ) ) ),
    inference(rewrite,[status(thm)],[69,2428]) ).

thf(2432,plain,
    ~ ( sk6
      @ ^ [A: a] :
          ( sk1
          @ ( sk4
            @ ^ [B: a > a] :
                ( sk6
                @ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
            @ ( sk3 @ A ) ) ) ),
    inference(simp,[status(thm)],[2431]) ).

thf(4554,plain,
    ! [A: a > a] :
      ( ~ ( sk6 @ A )
      | ~ $true
      | ( ( sk6
          @ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
       != ( sk6
          @ ^ [B: a] :
              ( sk1
              @ ( sk4
                @ ^ [C: a > a] :
                    ( sk6
                    @ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
                @ ( sk3 @ B ) ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[16,2432]) ).

thf(4555,plain,
    ! [A: a > a] :
      ( ~ ( sk6 @ A )
      | ( ( sk6
          @ ^ [B: a] : ( sk1 @ ( A @ B ) ) )
       != ( sk6
          @ ^ [B: a] :
              ( sk1
              @ ( sk4
                @ ^ [C: a > a] :
                    ( sk6
                    @ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
                @ ( sk3 @ B ) ) ) ) ) ),
    inference(simp,[status(thm)],[4554]) ).

thf(4556,plain,
    ~ ( sk6
      @ ^ [A: a] :
          ( sk4
          @ ^ [B: a > a] :
              ( sk6
              @ ^ [C: a] : ( B @ ( sk3 @ C ) ) )
          @ ( sk3 @ A ) ) ),
    inference(pattern_uni,[status(thm)],[4555:[bind(A,$thf( ^ [B: a] : ( sk4 @ ^ [C: a > a] : ( sk6 @ ^ [D: a] : ( C @ ( sk3 @ D ) ) ) @ ( sk3 @ B ) ) ))]]) ).

thf(4630,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ( A @ sk2 )
      | ~ $true
      | ( ( A @ ( sk4 @ A ) )
       != ( sk6
          @ ^ [B: a] :
              ( sk4
              @ ^ [C: a > a] :
                  ( sk6
                  @ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
              @ ( sk3 @ B ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[9,4556]) ).

thf(4631,plain,
    ! [A: ( a > a ) > $o] :
      ( ~ ( A
          @ ^ [B: a] : B )
      | ( A @ sk2 )
      | ( ( A @ ( sk4 @ A ) )
       != ( sk6
          @ ^ [B: a] :
              ( sk4
              @ ^ [C: a > a] :
                  ( sk6
                  @ ^ [D: a] : ( C @ ( sk3 @ D ) ) )
              @ ( sk3 @ B ) ) ) ) ),
    inference(simp,[status(thm)],[4630]) ).

thf(4663,plain,
    ( ~ ( sk6 @ sk3 )
    | ( sk6
      @ ^ [A: a] : ( sk2 @ ( sk3 @ A ) ) ) ),
    inference(pre_uni,[status(thm)],[4631:[bind(A,$thf( ^ [B: a > a] : ( sk6 @ ^ [C: a] : ( B @ ( sk3 @ C ) ) ) ))]]) ).

thf(4689,plain,
    ( ~ $true
    | $false ),
    inference(rewrite,[status(thm)],[4663,5,2428]) ).

thf(4690,plain,
    $false,
    inference(simp,[status(thm)],[4689]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU968^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08  % 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
% 0.07/0.26  % Computer : n013.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8046.5625MB
% 0.07/0.26  % OS       : Linux 6.8.0-71-generic
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue Sep 29 14:52:51 UTC 2026
% 0.20/0.26  % CPUTime  : 
% 0.20/0.26  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
% 0.94/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.32/1.04  % [INFO] 	 Parsing done (197ms). 
% 1.32/1.05  % [INFO] 	 Running in sequential loop mode. 
% 1.85/1.44  % [INFO] 	 eprover registered as external prover. 
% 1.85/1.45  % [INFO] 	 Scanning for conjecture ... 
% 2.03/1.54  % [INFO] 	 Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ... 
% 2.03/1.58  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.03/1.58  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.03/1.59  % [INFO] 	 Type checking passed. 
% 2.03/1.59  % [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 ... 
% 52.37/12.94  % [INFO] 	 Killing All external provers ... 
% 52.37/12.94  % Time passed: 12533ms (effective reasoning time: 11881ms)
% 52.37/12.94  % 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)>
% 52.37/12.94  % Axioms used in derivation (0): 
% 52.37/12.94  % No. of inferences in proof: 39
% 52.37/12.94  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12533 ms resp. 11881 ms w/o parsing
% 52.37/13.02  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 52.37/13.02  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------