TSTP Solution File: LCL738^5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : LCL738^5 : 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 : n004.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 : Sun Jul 17 12:26:21 EDT 2022

% Result   : Theorem 0.18s 0.41s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   55 (  23 unt;  11 typ;   0 def)
%            Number of atoms       :  260 (  64 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives :  544 (  60   ~;  58   |;   4   &; 410   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  144 ( 144   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :  125 (   0   ^  99   !;  26   ?; 125   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_b,type,
    b: $tType ).

thf(tp_sK10_Eigen,type,
    sK10_Eigen: ( b > $o ) > b ).

thf(tp_sK1_Xp,type,
    sK1_Xp: ( ( b > $o ) > b ) > b > $o ).

thf(tp_sK2_SY11,type,
    sK2_SY11: ( ( b > $o ) > b ) > b ).

thf(tp_sK3_Xr_24,type,
    sK3_Xr_24: ( b > $o ) > b > b > $o ).

thf(tp_sK4_SY12,type,
    sK4_SY12: ( b > $o ) > b > b > $o ).

thf(tp_sK5_SY16,type,
    sK5_SY16: ( b > $o ) > b ).

thf(tp_sK6_Xr_24,type,
    sK6_Xr_24: ( b > $o ) > b > b > $o ).

thf(tp_sK7_SY21,type,
    sK7_SY21: ( b > $o ) > b > b > $o ).

thf(tp_sK8_SY25,type,
    sK8_SY25: b > $o ).

thf(tp_sK9_SY29,type,
    sK9_SY29: b > b ).

thf(1,conjecture,
    ( ? [Xr_24: ( b > $o ) > b > b > $o,Xr_23: ( b > $o ) > b > b > $o] :
        ( ! [Xx: b > $o] :
          ? [Xy: b] :
          ! [Xw_6: b] :
            ( ( Xr_23 @ Xx @ Xy @ Xw_6 )
            | ( Xr_24 @ Xx @ Xy @ Xw_6 ) )
       => ? [Xf: ( b > $o ) > b] :
          ! [Xx: b > $o,Xw_6: b] :
            ( ( Xr_23 @ Xx @ ( Xf @ Xx ) @ Xw_6 )
            | ( Xr_24 @ Xx @ ( Xf @ Xx ) @ Xw_6 ) ) )
   => ? [Xj: ( b > $o ) > b] :
      ! [Xp: b > $o] :
        ( ? [Xz: b] : ( Xp @ Xz )
       => ( Xp @ ( Xj @ Xp ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5310_SUB) ).

thf(2,negated_conjecture,
    ( ( ? [Xr_24: ( b > $o ) > b > b > $o,Xr_23: ( b > $o ) > b > b > $o] :
          ( ! [Xx: b > $o] :
            ? [Xy: b] :
            ! [Xw_6: b] :
              ( ( Xr_23 @ Xx @ Xy @ Xw_6 )
              | ( Xr_24 @ Xx @ Xy @ Xw_6 ) )
         => ? [Xf: ( b > $o ) > b] :
            ! [Xx: b > $o,Xw_6: b] :
              ( ( Xr_23 @ Xx @ ( Xf @ Xx ) @ Xw_6 )
              | ( Xr_24 @ Xx @ ( Xf @ Xx ) @ Xw_6 ) ) )
     => ? [Xj: ( b > $o ) > b] :
        ! [Xp: b > $o] :
          ( ? [Xz: b] : ( Xp @ Xz )
         => ( Xp @ ( Xj @ Xp ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ? [Xr_24: ( b > $o ) > b > b > $o,Xr_23: ( b > $o ) > b > b > $o] :
          ( ! [Xx: b > $o] :
            ? [Xy: b] :
            ! [Xw_6: b] :
              ( ( Xr_23 @ Xx @ Xy @ Xw_6 )
              | ( Xr_24 @ Xx @ Xy @ Xw_6 ) )
         => ? [Xf: ( b > $o ) > b] :
            ! [Xx: b > $o,Xw_6: b] :
              ( ( Xr_23 @ Xx @ ( Xf @ Xx ) @ Xw_6 )
              | ( Xr_24 @ Xx @ ( Xf @ Xx ) @ Xw_6 ) ) )
     => ? [Xj: ( b > $o ) > b] :
        ! [Xp: b > $o] :
          ( ? [Xz: b] : ( Xp @ Xz )
         => ( Xp @ ( Xj @ Xp ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ? [Xr_24: ( b > $o ) > b > b > $o,Xr_23: ( b > $o ) > b > b > $o] :
          ( ! [Xx: b > $o] :
            ? [Xy: b] :
            ! [Xw_6: b] :
              ( ( Xr_23 @ Xx @ Xy @ Xw_6 )
              | ( Xr_24 @ Xx @ Xy @ Xw_6 ) )
         => ? [Xf: ( b > $o ) > b] :
            ! [Xx: b > $o,Xw_6: b] :
              ( ( Xr_23 @ Xx @ ( Xf @ Xx ) @ Xw_6 )
              | ( Xr_24 @ Xx @ ( Xf @ Xx ) @ Xw_6 ) ) ) )
    = $true ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ? [Xj: ( b > $o ) > b] :
        ! [Xp: b > $o] :
          ( ? [Xz: b] : ( Xp @ Xz )
         => ( Xp @ ( Xj @ Xp ) ) ) )
    = $false ),
    inference(standard_cnf,[status(thm)],[3]) ).

thf(6,plain,
    ( ( ~ ? [Xj: ( b > $o ) > b] :
          ! [Xp: b > $o] :
            ( ? [Xz: b] : ( Xp @ Xz )
           => ( Xp @ ( Xj @ Xp ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ! [Xj: ( b > $o ) > b] :
          ( ( sK1_Xp @ Xj @ ( sK2_SY11 @ Xj ) )
          & ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[6]) ).

thf(8,plain,
    ( ( ! [SY28: b] :
          ( ~ ( sK7_SY21 @ sK8_SY25 @ SY28 @ ( sK9_SY29 @ SY28 ) )
          & ~ ( sK6_Xr_24 @ sK8_SY25 @ SY28 @ ( sK9_SY29 @ SY28 ) ) )
      | ! [SY19: b > $o,SY20: b] :
          ( ( sK4_SY12 @ SY19 @ ( sK5_SY16 @ SY19 ) @ SY20 )
          | ( sK3_Xr_24 @ SY19 @ ( sK5_SY16 @ SY19 ) @ SY20 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[4]) ).

thf(9,plain,
    ( ( ! [SY28: b] :
          ( ~ ( sK7_SY21 @ sK8_SY25 @ SY28 @ ( sK9_SY29 @ SY28 ) )
          & ~ ( sK6_Xr_24 @ sK8_SY25 @ SY28 @ ( sK9_SY29 @ SY28 ) ) )
      | ! [SY19: b > $o,SY20: b] :
          ( ( sK4_SY12 @ SY19 @ ( sK5_SY16 @ SY19 ) @ SY20 )
          | ( sK3_Xr_24 @ SY19 @ ( sK5_SY16 @ SY19 ) @ SY20 ) ) )
    = $true ),
    inference(copy,[status(thm)],[8]) ).

thf(10,plain,
    ( ( ! [Xj: ( b > $o ) > b] :
          ( ( sK1_Xp @ Xj @ ( sK2_SY11 @ Xj ) )
          & ~ ( sK1_Xp @ Xj @ ( Xj @ ( sK1_Xp @ Xj ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[7]) ).

thf(11,plain,
    ( ( ! [SX0: b] :
          ~ ( ~ ~ ( sK7_SY21 @ sK8_SY25 @ SX0 @ ( sK9_SY29 @ SX0 ) )
            | ~ ~ ( sK6_Xr_24 @ sK8_SY25 @ SX0 @ ( sK9_SY29 @ SX0 ) ) )
      | ! [SX0: b > $o,SX1: b] :
          ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
          | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(12,plain,
    ( ( ! [SX0: ( b > $o ) > b] :
          ~ ( ~ ( sK1_Xp @ SX0 @ ( sK2_SY11 @ SX0 ) )
            | ~ ~ ( sK1_Xp @ SX0 @ ( SX0 @ ( sK1_Xp @ SX0 ) ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(13,plain,
    ( ( ( ! [SX0: b] :
            ~ ( ~ ~ ( sK7_SY21 @ sK8_SY25 @ SX0 @ ( sK9_SY29 @ SX0 ) )
              | ~ ~ ( sK6_Xr_24 @ sK8_SY25 @ SX0 @ ( sK9_SY29 @ SX0 ) ) ) )
      = $true )
    | ( ( ! [SX0: b > $o,SX1: b] :
            ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
            | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11]) ).

thf(14,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ( ~ ( sK1_Xp @ SV1 @ ( sK2_SY11 @ SV1 ) )
            | ~ ~ ( sK1_Xp @ SV1 @ ( SV1 @ ( sK1_Xp @ SV1 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[12]) ).

thf(15,plain,
    ! [SV2: b] :
      ( ( ( ~ ( ~ ~ ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
              | ~ ~ ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) ) )
        = $true )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[13]) ).

thf(16,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ( sK1_Xp @ SV1 @ ( sK2_SY11 @ SV1 ) )
        | ~ ~ ( sK1_Xp @ SV1 @ ( SV1 @ ( sK1_Xp @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[14]) ).

thf(17,plain,
    ! [SV2: b] :
      ( ( ( ~ ~ ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
          | ~ ~ ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) )
        = $false )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[15]) ).

thf(18,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ( sK1_Xp @ SV1 @ ( sK2_SY11 @ SV1 ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(19,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ~ ( sK1_Xp @ SV1 @ ( SV1 @ ( sK1_Xp @ SV1 ) ) ) )
      = $false ),
    inference(extcnf_or_neg,[status(thm)],[16]) ).

thf(20,plain,
    ! [SV2: b] :
      ( ( ( ~ ~ ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) )
        = $false )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(21,plain,
    ! [SV2: b] :
      ( ( ( ~ ~ ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) )
        = $false )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_or_neg,[status(thm)],[17]) ).

thf(22,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( sK1_Xp @ SV1 @ ( sK2_SY11 @ SV1 ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[18]) ).

thf(23,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ( sK1_Xp @ SV1 @ ( SV1 @ ( sK1_Xp @ SV1 ) ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[19]) ).

thf(24,plain,
    ! [SV2: b] :
      ( ( ( ~ ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) )
        = $true )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[20]) ).

thf(25,plain,
    ! [SV2: b] :
      ( ( ( ~ ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) ) )
        = $true )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[21]) ).

thf(26,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( sK1_Xp @ SV1 @ ( SV1 @ ( sK1_Xp @ SV1 ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[23]) ).

thf(27,plain,
    ! [SV2: b] :
      ( ( ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[24]) ).

thf(28,plain,
    ! [SV2: b] :
      ( ( ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false )
      | ( ( ! [SX0: b > $o,SX1: b] :
              ( ( sK4_SY12 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 )
              | ( sK3_Xr_24 @ SX0 @ ( sK5_SY16 @ SX0 ) @ SX1 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV2: b,SV3: b > $o] :
      ( ( ( ! [SY30: b] :
              ( ( sK4_SY12 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SY30 )
              | ( sK3_Xr_24 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SY30 ) ) )
        = $true )
      | ( ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(30,plain,
    ! [SV2: b,SV4: b > $o] :
      ( ( ( ! [SY31: b] :
              ( ( sK4_SY12 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SY31 )
              | ( sK3_Xr_24 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SY31 ) ) )
        = $true )
      | ( ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[28]) ).

thf(31,plain,
    ! [SV2: b,SV5: b,SV3: b > $o] :
      ( ( ( ( sK4_SY12 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SV5 )
          | ( sK3_Xr_24 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SV5 ) )
        = $true )
      | ( ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(32,plain,
    ! [SV2: b,SV6: b,SV4: b > $o] :
      ( ( ( ( sK4_SY12 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SV6 )
          | ( sK3_Xr_24 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SV6 ) )
        = $true )
      | ( ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[30]) ).

thf(33,plain,
    ! [SV2: b,SV5: b,SV3: b > $o] :
      ( ( ( sK4_SY12 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SV5 )
        = $true )
      | ( ( sK3_Xr_24 @ SV3 @ ( sK5_SY16 @ SV3 ) @ SV5 )
        = $true )
      | ( ( sK7_SY21 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[31]) ).

thf(34,plain,
    ! [SV2: b,SV6: b,SV4: b > $o] :
      ( ( ( sK4_SY12 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SV6 )
        = $true )
      | ( ( sK3_Xr_24 @ SV4 @ ( sK5_SY16 @ SV4 ) @ SV6 )
        = $true )
      | ( ( sK6_Xr_24 @ sK8_SY25 @ SV2 @ ( sK9_SY29 @ SV2 ) )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(35,plain,
    ( ( sK1_Xp @ sK10_Eigen @ ( sK10_Eigen @ ( sK1_Xp @ sK10_Eigen ) ) )
    = $false ),
    inference(instantiate,[status(thm)],[26:[bind(SV1,$thf( sK10_Eigen ))]]) ).

thf(36,plain,
    ! [SV1: ( b > $o ) > b] :
      ( ( ~ ~ ! [SV7: b] :
                ~ ( sK1_Xp @ SV1 @ SV7 )
        | ( sK1_Xp @ SV1 @ ( sK10_Eigen @ ( sK1_Xp @ SV1 ) ) ) )
      = $true ),
    inference(choice,[status(thm)],[26]) ).

thf(37,plain,
    ! [SV8: ( b > $o ) > b] :
      ( ( ~ ~ ! [SX0: b] :
                ~ ( sK1_Xp @ SV8 @ SX0 )
        | ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) ) )
      = $true ),
    inference(rename,[status(thm)],[36]) ).

thf(38,plain,
    ! [SV8: ( b > $o ) > b] :
      ( ( ( ~ ~ ! [SX0: b] :
                  ~ ( sK1_Xp @ SV8 @ SX0 ) )
        = $true )
      | ( ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[37]) ).

thf(39,plain,
    ! [SV8: ( b > $o ) > b] :
      ( ( ( ~ ! [SX0: b] :
                ~ ( sK1_Xp @ SV8 @ SX0 ) )
        = $false )
      | ( ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(40,plain,
    ! [SV8: ( b > $o ) > b] :
      ( ( ( ! [SX0: b] :
              ~ ( sK1_Xp @ SV8 @ SX0 ) )
        = $true )
      | ( ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[39]) ).

thf(41,plain,
    ! [SV9: b,SV8: ( b > $o ) > b] :
      ( ( ( ~ ( sK1_Xp @ SV8 @ SV9 ) )
        = $true )
      | ( ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(42,plain,
    ! [SV9: b,SV8: ( b > $o ) > b] :
      ( ( ( sK1_Xp @ SV8 @ SV9 )
        = $false )
      | ( ( sK1_Xp @ SV8 @ ( sK10_Eigen @ ( sK1_Xp @ SV8 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(43,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[22,42,35,34,33,26]) ).

thf(44,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL738^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 04:21:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34   No.of.Axioms: 0
% 0.12/0.34  
% 0.12/0.34   Length.of.Defs: 0
% 0.12/0.34  
% 0.12/0.34   Contains.Choice.Funs: false
% 0.12/0.34  (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)..
% 0.18/0.38  
% 0.18/0.38   *** Modified list of choice operators: sK10_Eigen ***
% 0.18/0.41  
% 0.18/0.41  ********************************
% 0.18/0.41  *   All subproblems solved!    *
% 0.18/0.41  ********************************
% 0.18/0.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:43,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.18/0.41  
% 0.18/0.41  %**** Beginning of derivation protocol ****
% 0.18/0.41  % SZS output start CNFRefutation
% See solution above
% 0.18/0.41  
% 0.18/0.41  %**** End of derivation protocol ****
% 0.18/0.41  %**** no. of clauses in derivation: 44 ****
% 0.18/0.41  %**** clause counter: 43 ****
% 0.18/0.41  
% 0.18/0.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:43,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------