TSTP Solution File: SEU917^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SEU917^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n019.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  : 600s
% DateTime : Tue Jul 19 12:15:44 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   46 (  21 unt;   4 typ;   0 def)
%            Number of atoms       :  213 ( 147 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :  361 (  18   ~;  27   |;   2   &; 310   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   64 (  64   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  104 (  50   ^  50   !;   4   ?; 104   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_sK1_Xx,type,
    sK1_Xx: ( $i > $i ) > $i ).

thf(tp_sK2_SY3,type,
    sK2_SY3: ( $i > $i ) > $i ).

thf(tp_sK3_E,type,
    sK3_E: ( $i > $i > $i ) > $i ).

thf(tp_sK4_E,type,
    sK4_E: ( $i > $i > $i ) > $i ).

thf(1,conjecture,
    ? [F: $i > $i] :
    ! [Xx: $i,Xy: $i] :
      ( ( ( F @ Xx )
        = ( F @ Xy ) )
     => ( Xx = Xy ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM8_pme) ).

thf(2,negated_conjecture,
    ( ( ? [F: $i > $i] :
        ! [Xx: $i,Xy: $i] :
          ( ( ( F @ Xx )
            = ( F @ Xy ) )
         => ( Xx = Xy ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ? [F: $i > $i] :
        ! [Xx: $i,Xy: $i] :
          ( ( ( F @ Xx )
            = ( F @ Xy ) )
         => ( Xx = Xy ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ~ ? [F: $i > $i] :
          ! [Xx: $i,Xy: $i] :
            ( ( ( F @ Xx )
              = ( F @ Xy ) )
           => ( Xx = Xy ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ! [F: $i > $i] :
          ( ( ( F @ ( sK1_Xx @ F ) )
            = ( F @ ( sK2_SY3 @ F ) ) )
          & ( ( sK1_Xx @ F )
           != ( sK2_SY3 @ F ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(6,plain,
    ( ( ! [F: $i > $i] :
          ( ( ( F @ ( sK1_Xx @ F ) )
            = ( F @ ( sK2_SY3 @ F ) ) )
          & ( ( sK1_Xx @ F )
           != ( sK2_SY3 @ F ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [SX0: $i > $i] :
          ~ ( ( ( SX0 @ ( sK1_Xx @ SX0 ) )
             != ( SX0 @ ( sK2_SY3 @ SX0 ) ) )
            | ~ ( ( ( sK1_Xx @ SX0 )
                 != ( sK2_SY3 @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(8,plain,
    ! [SV1: $i > $i] :
      ( ( ~ ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
             != ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
            | ~ ( ( ( sK1_Xx @ SV1 )
                 != ( sK2_SY3 @ SV1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: $i > $i] :
      ( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
         != ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
        | ~ ( ( ( sK1_Xx @ SV1 )
             != ( sK2_SY3 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: $i > $i] :
      ( ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
         != ( SV1 @ ( sK2_SY3 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: $i > $i] :
      ( ( ~ ( ( ( sK1_Xx @ SV1 )
             != ( sK2_SY3 @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[9]) ).

thf(12,plain,
    ! [SV1: $i > $i] :
      ( ( ( SV1 @ ( sK1_Xx @ SV1 ) )
        = ( SV1 @ ( sK2_SY3 @ SV1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(13,plain,
    ! [SV1: $i > $i] :
      ( ( ( ( sK1_Xx @ SV1 )
         != ( sK2_SY3 @ SV1 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[11]) ).

thf(14,plain,
    ! [SV1: $i > $i] :
      ( ( ( sK1_Xx @ SV1 )
        = ( sK2_SY3 @ SV1 ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[13]) ).

thf(15,plain,
    ! [SV2: $i > $i] :
      ( ( ( SV2 @ ( sK1_Xx @ SV2 ) )
        = ( SV2 @ ( sK2_SY3 @ SV2 ) ) )
      = $true ),
    inference(rename,[status(thm)],[12]) ).

thf(16,plain,
    ! [SV3: $i > $i] :
      ( ( ( sK1_Xx @ SV3 )
        = ( sK2_SY3 @ SV3 ) )
      = $false ),
    inference(rename,[status(thm)],[14]) ).

thf(17,plain,
    ! [SV3: $i > $i,SV2: $i > $i] :
      ( ( ( ( sK1_Xx @ SV3 )
          = ( sK2_SY3 @ SV3 ) )
        = ( ( SV2 @ ( sK1_Xx @ SV2 ) )
          = ( SV2 @ ( sK2_SY3 @ SV2 ) ) ) )
      = $false ),
    inference(res,[status(thm)],[16,15]) ).

thf(18,plain,
    ! [SV2: $i > $i,SV3: $i > $i] :
      ( ( ( ( sK1_Xx @ SV3 )
          = ( SV2 @ ( sK2_SY3 @ SV2 ) ) )
        = $false )
      | ( ( ( sK2_SY3 @ SV3 )
          = ( SV2 @ ( sK1_Xx @ SV2 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[17]) ).

thf(19,plain,
    ! [SV2: $i > $i,SV3: $i > $i] :
      ( ( ( ( sK2_SY3 @ SV3 )
          = ( SV2 @ ( sK2_SY3 @ SV2 ) ) )
        = $false )
      | ( ( ( sK1_Xx @ SV3 )
          = ( SV2 @ ( sK1_Xx @ SV2 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[17]) ).

thf(20,plain,
    ! [SV4: $i > $i,SV5: $i > $i] :
      ( ( ( ( sK1_Xx @ SV5 )
          = ( SV4 @ ( sK2_SY3 @ SV4 ) ) )
        = $false )
      | ( ( ( sK2_SY3 @ SV5 )
          = ( SV4 @ ( sK1_Xx @ SV4 ) ) )
        = $false ) ),
    inference(rename,[status(thm)],[18]) ).

thf(24,plain,
    ! [SV6: $i > $i,SV7: $i > $i] :
      ( ( ( ( sK2_SY3 @ SV7 )
          = ( SV6 @ ( sK2_SY3 @ SV6 ) ) )
        = $false )
      | ( ( ( sK1_Xx @ SV7 )
          = ( SV6 @ ( sK1_Xx @ SV6 ) ) )
        = $false ) ),
    inference(rename,[status(thm)],[19]) ).

thf(28,plain,
    ! [SV4: $i > $i,SV5: $i > $i] :
      ( ( ( ( sK2_SY3 @ SV5 )
          = ( SV4 @ ( sK1_Xx @ SV4 ) ) )
        = $false )
      | ( ( ( ( sK1_Xx @ SV5 )
            = ( SV4 @ ( sK2_SY3 @ SV4 ) ) )
          = ( ( sK2_SY3 @ SV5 )
            = ( SV4 @ ( sK1_Xx @ SV4 ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[20]) ).

thf(29,plain,
    ! [SV6: $i > $i,SV7: $i > $i] :
      ( ( ( ( sK1_Xx @ SV7 )
          = ( SV6 @ ( sK1_Xx @ SV6 ) ) )
        = $false )
      | ( ( ( ( sK2_SY3 @ SV7 )
            = ( SV6 @ ( sK2_SY3 @ SV6 ) ) )
          = ( ( sK1_Xx @ SV7 )
            = ( SV6 @ ( sK1_Xx @ SV6 ) ) ) )
        = $false ) ),
    inference(fac_restr,[status(thm)],[24]) ).

thf(31,plain,
    ! [SV4: $i > $i,SV5: $i > $i] :
      ( ( ( ( ( sK1_Xx @ SV5 )
            = ( SV4 @ ( sK2_SY3 @ SV4 ) ) )
          = ( ( sK2_SY3 @ SV5 )
            = ( SV4 @ ( sK1_Xx @ SV4 ) ) ) )
        = $false )
      | ( ( ( sK2_SY3 @ SV5 )
          = ( SV4 @ ( sK1_Xx @ SV4 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[28]) ).

thf(33,plain,
    ! [SV6: $i > $i,SV7: $i > $i] :
      ( ( ( ( ( sK2_SY3 @ SV7 )
            = ( SV6 @ ( sK2_SY3 @ SV6 ) ) )
          = ( ( sK1_Xx @ SV7 )
            = ( SV6 @ ( sK1_Xx @ SV6 ) ) ) )
        = $false )
      | ( ( ( sK1_Xx @ SV7 )
          = ( SV6 @ ( sK1_Xx @ SV6 ) ) )
        = $false ) ),
    inference(extcnf_equal_neg,[status(thm)],[29]) ).

thf(50,plain,
    ! [SV10: $i > $i > $i] :
      ( ( ( ( sK1_Xx
            @ ( SV10
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( SV10
            @ ( sK2_SY3
              @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) )
            @ ( sK3_E @ SV10 ) )
          = ( SV10
            @ ( sK1_Xx
              @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) )
            @ ( sK3_E @ SV10 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV5,$thf( SV10 @ ( sK2_SY3 @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) )),bind(SV4,$thf( ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ))]]) ).

thf(51,plain,
    ! [SV10: $i > $i > $i] :
      ( ( ( ( sK2_SY3
            @ ( SV10
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ( SV10
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV5,$thf( SV10 @ ( sK2_SY3 @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) )),bind(SV4,$thf( ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ))]]) ).

thf(52,plain,
    ! [SV10: $i > $i > $i] :
      ( ( ( ( sK1_Xx
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY3
            @ ( SV10
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV5,$thf( SV10 @ ( sK1_Xx @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) )),bind(SV4,$thf( ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ))]]) ).

thf(53,plain,
    ! [SV10: $i > $i > $i,SV5: $i > $i] :
      ( ( ( ( sK2_SY3 @ SV5 )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK1_Xx @ SV5 )
          = ( sK2_SY3
            @ ( SV10
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY3
            @ ( SV10
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ) ) )
          = ( sK2_SY3 @ SV5 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV4,$thf( ^ [SX0: $i] : ( sK2_SY3 @ ( SV10 @ SX0 ) ) ))]]) ).

thf(54,plain,
    ( ( ( sK2_SY3
        @ ^ [SX0: $i] : SX0 )
      = ( sK1_Xx
        @ ^ [SX0: $i] : SX0 ) )
    = $false ),
    inference(extuni,[status(esa)],[31:[bind(SV5,$thf( ^ [SX0: $i] : SX0 )),bind(SV4,$thf( ^ [SX0: $i] : SX0 ))]]) ).

thf(55,plain,
    ( ( ( ( sK2_SY3
          @ ^ [SX0: $i] : SX0 )
        = ( sK1_Xx
          @ ^ [SX0: $i] : SX0 ) )
      = $false )
    | ( ( ( sK2_SY3
          @ ^ [SX0: $i] : SX0 )
        = ( sK2_SY3
          @ ^ [SX0: $i] : SX0 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV5,$thf( ^ [SX0: $i] : SX0 )),bind(SV4,$thf( ^ [SX0: $i] : SX0 ))]]) ).

thf(56,plain,
    ! [SV5: $i > $i] :
      ( ( ( ( sK2_SY3 @ SV5 )
          = ( sK1_Xx
            @ ^ [SX0: $i] : SX0 ) )
        = $false )
      | ( ( ( sK1_Xx @ SV5 )
          = ( sK1_Xx
            @ ^ [SX0: $i] : SX0 ) )
        = $false )
      | ( ( ( sK2_SY3
            @ ^ [SX0: $i] : SX0 )
          = ( sK2_SY3 @ SV5 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[31:[bind(SV4,$thf( ^ [SX0: $i] : SX0 ))]]) ).

thf(57,plain,
    ! [SV13: $i > $i > $i] :
      ( ( ( ( sK2_SY3
            @ ( SV13
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( SV13
            @ ( sK2_SY3
              @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) )
            @ ( sK4_E @ SV13 ) )
          = ( SV13
            @ ( sK1_Xx
              @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) )
            @ ( sK4_E @ SV13 ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV7,$thf( SV13 @ ( sK2_SY3 @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) )),bind(SV6,$thf( ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ))]]) ).

thf(58,plain,
    ! [SV13: $i > $i > $i] :
      ( ( ( ( sK1_Xx
            @ ( SV13
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY3
            @ ( SV13
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV7,$thf( SV13 @ ( sK2_SY3 @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) )),bind(SV6,$thf( ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ))]]) ).

thf(59,plain,
    ! [SV13: $i > $i > $i] :
      ( ( ( ( sK2_SY3
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ( SV13
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV7,$thf( SV13 @ ( sK1_Xx @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) )),bind(SV6,$thf( ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ))]]) ).

thf(60,plain,
    ! [SV13: $i > $i > $i,SV7: $i > $i] :
      ( ( ( ( sK1_Xx @ SV7 )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK2_SY3 @ SV7 )
          = ( sK1_Xx
            @ ( SV13
              @ ( sK1_Xx
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) ) )
        = $false )
      | ( ( ( sK1_Xx
            @ ( SV13
              @ ( sK2_SY3
                @ ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ) ) )
          = ( sK1_Xx @ SV7 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV6,$thf( ^ [SX0: $i] : ( sK1_Xx @ ( SV13 @ SX0 ) ) ))]]) ).

thf(61,plain,
    ( ( ( ( sK2_SY3
          @ ^ [SX0: $i] : SX0 )
        = ( sK1_Xx
          @ ^ [SX0: $i] : SX0 ) )
      = $false )
    | ( ( ( sK2_SY3
          @ ^ [SX0: $i] : SX0 )
        = ( sK1_Xx
          @ ^ [SX0: $i] : SX0 ) )
      = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV7,$thf( ^ [SX0: $i] : SX0 )),bind(SV6,$thf( ^ [SX0: $i] : SX0 ))]]) ).

thf(62,plain,
    ! [SV7: $i > $i] :
      ( ( ( ( sK1_Xx @ SV7 )
          = ( sK1_Xx
            @ ^ [SX0: $i] : SX0 ) )
        = $false )
      | ( ( ( sK2_SY3 @ SV7 )
          = ( sK1_Xx
            @ ^ [SX0: $i] : SX0 ) )
        = $false )
      | ( ( ( sK2_SY3
            @ ^ [SX0: $i] : SX0 )
          = ( sK1_Xx @ SV7 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV6,$thf( ^ [SX0: $i] : SX0 ))]]) ).

thf(63,plain,
    ( ( ( sK2_SY3
        @ ^ [SX0: $i] : SX0 )
      = ( sK1_Xx
        @ ^ [SX0: $i] : SX0 ) )
    = $false ),
    inference(sim,[status(thm)],[55]) ).

thf(64,plain,
    ( ( ( sK2_SY3
        @ ^ [SX0: $i] : SX0 )
      = ( sK1_Xx
        @ ^ [SX0: $i] : SX0 ) )
    = $false ),
    inference(sim,[status(thm)],[61]) ).

thf(65,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[15,64,63,62,60,59,58,57,56,54,53,52,51,50,24,20,16]) ).

thf(66,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU917^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 00:47:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  
% 0.13/0.34   No.of.Axioms: 0
% 0.13/0.34  
% 0.13/0.34   Length.of.Defs: 0
% 0.13/0.34  
% 0.13/0.34   Contains.Choice.Funs: false
% 0.13/0.34  (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)..
% 0.20/0.54  
% 0.20/0.54  ********************************
% 0.20/0.54  *   All subproblems solved!    *
% 0.20/0.54  ********************************
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.20/0.54  
% 0.20/0.54  %**** Beginning of derivation protocol ****
% 0.20/0.54  % SZS output start CNFRefutation
% See solution above
% 0.20/0.54  
% 0.20/0.54  %**** End of derivation protocol ****
% 0.20/0.54  %**** no. of clauses in derivation: 42 ****
% 0.20/0.54  %**** clause counter: 65 ****
% 0.20/0.54  
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------